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, 5035, 6843, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 7183, 7531, 5035, 5532, 8217, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 815, 6843, 10797, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 6843, 815, 1582, 23584, 12785, 454, 1038, 9136, 815, 11713, 1038, 1247, 6843, 568, 711, 7183, 912, 2018, 9136, 6910, 19304, 27316, 21606, 4917, 2018, 6843, 815, 6843, 12785, 692, 1038, 9136, 6910, 2891, 14085, 5602, 1038, 2132, 834, 9847, 834, 269, 21860, 3799, 3941, 2020, 825, 1219, 16289, 4311, 267, 1239, 2187, 1038, 1699, 815, 1582, 23584, 692, 1038, 1985, 17045, 815, 6843, 16597, 994, 1038, 1247, 1699, 12785, 568, 711, 7183, 912, 2018, 1699, 815, 1699, 12785, 454, 1038, 1699, 12785, 815, 1985, 17045, 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 ]
[ 0, 258, 1215, 547, 4855, 519, 16429, 267, 15328, 543, 18000, 540, 606, 24234, 2496, 306, 710, 267, 25482, 543, 17242, 267, 1419, 27571, 547, 5609, 267, 5430, 267, 543, 16009, 538, 6310, 4238, 543, 593, 9498, 10569, 267, 616, 519, 1034, 2596, 25066, 3252, 269, 2353, 1614, 616, 1759, 593, 519, 3601, 522, 1862, 3367, 2859, 19314, 10674, 2517, 4178, 4318, 6011, 2593, 270, 6011, 318, 279, 1704, 4281, 276, 280, 5334, 514, 2275, 657, 2389, 534, 268, 4120, 11258, 692, 12749, 1627, 26031, 1280, 281, 1109, 1692, 547, 4855, 519, 16429, 267, 15328, 543, 18000, 540, 606, 24234, 692, 1012, 1215, 547, 4855, 519, 20099, 540, 519, 24234, 645, 529, 10725, 2060, 476, 273, 590, 1938, 543, 2290, 24234, 2496, 29664, 1607, 814, 1044, 676, 918, 12282, 599, 698, 6951, 327, 782, 4805, 20136, 568, 519, 20289, 698, 6951, 327, 14497, 20136, 666, 581, 1031, 547, 1265, 519, 3259, 540, 519, 5086, 20312, 10725, 676, 519, 476, 273, 5011, 711, 12969, 539, 676, 519, 5086, 543, 519, 5086, 1045, 334, 1862, 3367, 2859, 19314, 10674, 2517, 4178, 9884, 23943, 2593, 270, 8340, 7308, 6441, 2654, 6361, 7308, 5025, 978, 548, 5174, 529, 10725, 268, 4415, 268, 273, 4149, 1938, 7146, 268, 3080, 5025, 978, 548, 692, 1012, 1215, 547, 4855, 519, 20099, 540, 606, 24234, 2496, 17951, 956, 616, 10876, 269, 3776, 1360, 6228, 538, 1614, 8820, 2230, 5673, 593, 873, 269, 769, 9511, 267, 7285, 705, 728, 676, 1978, 3652, 543, 666, 581, 7229, 1210, 891, 3741, 269, 27449, 616, 6027, 538, 1862, 3367, 2859, 19314, 10674, 2517, 4178, 4318, 6011, 2593, 270, 6011, 318, 279, 3374, 29344, 275, 28747, 268, 4120, 11258, 692, 1012, 1215, 547, 4855, 606, 24234, 540, 513, 1261, 343, 6782, 2496, 288, 15279, 6782, 568, 513, 3337, 609, 3670, 5011, 269, 4635, 519, 2953, 3830, 267, 596, 666, 1265, 519, 4110, 540, 1142, 540, 519, 9703, 7285, 267, 610, 519, 7285, 3330, 519, 15279, 6782, 693, 519, 15174, 269, 4635, 513, 1114, 4542, 267, 3267, 3367, 2859, 19314, 10674, 2517, 4178, 4318, 6011, 2593, 270, 6011, 318, 279, 3953, 28873, 275, 318, 4120, 13463, 343, 6782, 11258, 692, 1012, 1215, 547, 4855, 519, 476, 275, 628, 24234, 540, 513, 21408, 10561, 2496, 288, 29105, 568, 1022, 2185, 21758, 267, 20583, 4137, 267, 971, 607, 513, 4009, 267, 13551, 267, 30866, 267, 32077, 639, 610, 25521, 269, 3143, 2339, 1018, 519, 7516, 610, 519, 3337, 540, 519, 29105, 267, 782, 9076, 559, 831, 1023, 3267, 3367, 2859, 9732, 692, 16665, 5999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1015, 281, 19484, 519, 3026, 517, 7614, 2271, 2400, 5516, 5149, 630, 301, 2975, 308, 264, 543, 18601, 5403, 31691, 12870, 543, 17520, 692, 7072, 692, 763, 30564, 14021, 1416, 1770, 630, 301, 2975, 308, 264, 666, 581, 513, 18447, 1604, 585, 1022, 1920, 267, 2523, 950, 741, 20169, 21128, 4505, 982, 4397, 269, 1306, 3782, 4648, 267, 621, 568, 2629, 602, 649, 16491, 2104, 9439, 609, 519, 2556, 1702, 543, 1983, 547, 1489, 3885, 1282, 713, 4101, 942, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 10188, 519, 715, 2975, 308, 1995, 543, 5466, 2022, 31691, 4965, 543, 4160, 1851, 11299, 269, 3414, 3695, 4143, 6436, 267, 1382, 4681, 267, 543, 4052, 3156, 267, 6267, 786, 2744, 513, 4514, 7071, 585, 519, 10848, 4478, 829, 514, 7614, 2790, 1072, 780, 4089, 476, 272, 281, 4197, 519, 715, 2975, 308, 15232, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 1906, 4374, 883, 1200, 3791, 959, 30478, 267, 5153, 7315, 773, 2904, 267, 476, 3953, 267, 1572, 1200, 28267, 8566, 312, 301, 269, 4173, 1394, 10413, 543, 1352, 729, 2348, 25574, 267, 782, 540, 799, 32131, 9425, 6093, 547, 519, 4387, 593, 1289, 269, 1261, 6700, 1352, 1491, 621, 2653, 543, 3289, 3433, 267, 865, 2904, 12306, 538, 585, 930, 3207, 563, 2691, 1352, 530, 5803, 909, 267, 1352, 729, 538, 2407, 6823, 4074, 543, 32357, 547, 519, 6595, 4055, 269, 1635, 519, 1985, 6640, 267, 1200, 8250, 5345, 773, 729, 4535, 2443, 8370, 4374, 2038, 269, 2904, 4718, 1200, 585, 827, 513, 2034, 1354, 519, 20169, 729, 31953, 539, 909, 547, 519, 30564, 14021, 1416, 1770, 1247, 2904, 18423, 3297, 593, 519, 6765, 3349, 267, 588, 684, 2740, 563, 2108, 2691, 789, 6368, 3576, 803, 909, 547, 1294, 1200, 267, 1352, 729, 554, 10541, 909, 547, 782, 891, 21697, 269, 594, 7948, 1406, 1294, 1200, 3068, 269, 594, 7948, 1406, 1745, 1200, 2960, 269, 594, 4769, 1406, 917, 1018, 547, 798, 2223, 2904, 27416, 269, 968, 7069, 1101, 5114, 729, 547, 2119, 711, 547, 1745, 4376, 3267, 594, 729, 865, 12922, 594, 729, 2469, 547, 2887, 538, 2648, 609, 713, 4816, 543, 1287, 1352, 1131, 581, 8854, 3034, 7021, 519, 1985, 476, 7918, 2395, 267, 2904, 1705, 1200, 1655, 547, 3082, 547, 519, 15116, 18819, 540, 519, 715, 2975, 308, 269, 2701, 4121, 547, 3180, 1200, 8250, 1510, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 16711, 1315, 631, 24471, 267, 3131, 514, 7614, 267, 6468, 781, 2657, 1315, 5403, 31691, 12870, 543, 17520, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 4336, 5373, 540, 513, 13551, 1843, 814, 513, 4336, 540, 476, 272, 538, 269, 2433, 476, 277, 1111, 269, 661, 4336, 5373, 814, 513, 3259, 540, 476, 278, 6279, 269, 1548, 568, 519, 4890, 3259, 692, 9223, 692, 320, 4336, 5373, 540, 513, 13551, 1843, 814, 513, 4336, 540, 476, 272, 538, 269, 2433, 476, 277, 1111, 269, 661, 4336, 5373, 814, 513, 3259, 540, 476, 278, 6279, 269, 1548, 568, 519, 4890, 3259, 692, 514, 3356, 476, 271, 454, 275, 3275, 476, 1708, 272, 268, 1015, 268, 5400, 307, 1428, 281, 6349, 281, 3953, 266, 876, 281, 876, 476, 272, 8382, 476, 271, 5784, 476, 271, 692, 1012, 12226, 630, 25589, 272, 269, 8382, 1384, 3721, 8386, 9912, 7778, 1384, 272, 10759, 815, 476, 277, 10264, 692, 810, 476, 278, 6279, 630, 20123, 17586, 476, 277, 10264, 676, 476, 278, 607, 476, 272, 265, 278, 568, 476, 278, 6279, 2020, 278, 6279, 568, 476, 5655, 10264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 5903, 11966, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 8029, 1038, 1582, 22183, 815, 1535, 1477, 1038, 1582, 12785, 815, 7183, 5897, 3698, 4855, 5575, 13349, 11966, 9638, 272, 28872, 273, 8029, 825, 952, 711, 533, 272, 610, 711, 533, 273, 281, 2132, 7183, 1477, 825, 1247, 533, 272, 6769, 1038, 1225, 815, 533, 273, 1477, 1038, 1247, 1225, 6769, 2018, 952, 1225, 2652, 533, 272, 281, 2132, 1225, 1477, 2018, 3116, 281, 1225, 815, 1225, 12785, 1477, 1038, 533, 272, 815, 533, 272, 12785, 1477, 825, 2132, 7183, 5897, 320, 815, 5903, 11966, 263, 272, 3418, 321, 815, 5903, 11966, 263, 273, 3418, 322, 815, 5903, 11966, 263, 274, 3418, 320, 12785, 815, 536, 1477, 322, 12785, 815, 536, 1477, 2745, 263, 8340, 5575, 13349, 11966, 5416, 14720, 17903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1635, 17609, 519, 1101, 3670, 6305, 2338, 281, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 543, 476, 1724, 267, 649, 666, 1294, 602, 519, 476, 277, 628, 6305, 568, 476, 1724, 780, 258, 1548, 568, 519, 476, 1015, 476, 9826, 560, 6305, 1297, 2496, 3698, 568, 318, 18905, 3799, 2187, 825, 952, 562, 2999, 476, 273, 912, 1038, 2132, 8771, 454, 825, 1775, 815, 476, 273, 454, 825, 1247, 630, 328, 2608, 1775, 10922, 562, 2187, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 6936, 692, 3698, 6305, 16229, 263, 8161, 2187, 825, 1775, 815, 476, 271, 454, 825, 795, 815, 476, 271, 454, 825, 585, 795, 538, 2039, 263, 271, 267, 4994, 2187, 1038, 1247, 711, 568, 318, 18905, 9217, 2187, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1775, 6834, 476, 272, 454, 2018, 795, 6834, 476, 272, 3097, 825, 2132, 1775, 910, 476, 272, 692, 2745, 263, 18905, 16229, 263, 1911, 4905, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 281, 9483, 4065, 538, 519, 12745, 540, 12634, 5980, 692, 296, 269, 4985, 692, 288, 269, 11137, 540, 2804, 2069, 1369, 1514, 2257, 454, 289, 269, 11957, 540, 3450, 9297, 547, 2104, 7855, 454, 290, 269, 17583, 1063, 2804, 7924, 543, 5483, 15114, 692, 2862, 269, 25043, 540, 9483, 4065, 692, 288, 269, 8466, 1646, 540, 2804, 2069, 454, 272, 269, 7216, 7506, 543, 1883, 20334, 454, 273, 269, 12472, 540, 2804, 3069, 543, 922, 1764, 593, 27380, 454, 274, 269, 7351, 1533, 540, 2804, 2069, 1382, 543, 2259, 692, 289, 269, 11759, 3741, 540, 2804, 2069, 454, 272, 269, 2480, 19062, 543, 3903, 454, 273, 269, 31621, 1942, 454, 274, 269, 22414, 5413, 454, 275, 269, 18242, 543, 3747, 454, 276, 269, 10369, 11466, 543, 2344, 14286, 454, 277, 269, 10020, 540, 2229, 538, 6990, 454, 278, 269, 4139, 4123, 454, 279, 269, 5839, 549, 11296, 10832, 630, 294, 7894, 267, 13864, 2557, 267, 10637, 2020, 7656, 269, 13229, 16677, 698, 16479, 22604, 538, 9483, 4065, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 532, 5069, 2023, 2160, 15789, 22547, 538, 772, 2529, 269, 5240, 1299, 2622, 7797, 23958, 3427, 24419, 902, 454, 9336, 1032, 267, 772, 2529, 269, 5240, 1299, 2622, 7797, 16034, 10927, 3292, 2429, 519, 2197, 269, 769, 713, 1032, 779, 31213, 267, 29078, 5069, 2023, 2160, 4718, 1032, 3562, 4458, 14380, 538, 930, 25422, 14092, 13094, 3292, 269, 18479, 1597, 3292, 19486, 538, 519, 1283, 476, 1911, 256, 1548, 2306, 29078, 5069, 2023, 779, 3292, 1796, 856, 286, 6875, 513, 1413, 543, 1294, 563, 763, 1546, 14982, 5441, 540, 16711, 3091, 20277, 779, 267, 4487, 779, 267, 12854, 267, 15149, 543, 4387, 540, 8808, 3292, 269, 634, 2852, 882, 11343, 547, 29078, 5069, 2023, 2160, 779, 2657, 7070, 28941, 538, 9652, 4975, 538, 476, 1708, 272, 269, 1703, 616, 849, 4359, 15149, 3292, 2139, 538, 9568, 2359, 267, 18837, 1072, 543, 8808, 2069, 269, 5358, 20021, 723, 8854, 593, 547, 960, 693, 6778, 31291, 328, 11233, 267, 590, 7419, 312, 5455, 8063, 6481, 2160, 267, 19186, 1415, 6481, 4741, 543, 1082, 1866, 563, 763, 8808, 1982, 568, 19486, 1948, 3445, 563, 763, 4972, 540, 5398, 10029, 3091, 513, 4487, 779, 4110, 538, 1857, 7245, 267, 12242, 5232, 543, 4359, 2781, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 9752, 1315, 23527, 1315, 4317, 3163, 1315, 13188, 4065, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24426, 828, 5913, 323, 333, 268, 769, 513, 1847, 602, 14556, 5809, 519, 5571, 11776, 7521, 267, 8419, 814, 3144, 513, 23801, 1900, 609, 922, 5767, 15424, 11556, 269, 634, 3915, 267, 27490, 20243, 676, 7354, 269, 2349, 320, 1047, 16016, 13709, 807, 543, 20483, 676, 8419, 25743, 267, 6663, 547, 10238, 527, 4872, 689, 29307, 8446, 6486, 547, 3768, 29545, 11082, 269, 901, 11036, 568, 711, 606, 9678, 12136, 855, 2864, 513, 8086, 540, 519, 2136, 2276, 779, 1279, 29280, 14251, 566, 1063, 22371, 543, 19231, 538, 922, 11776, 4507, 563, 763, 3915, 779, 3460, 666, 581, 14360, 1394, 547, 519, 20616, 5736, 950, 2067, 1436, 729, 17401, 6417, 896, 3703, 4341, 269, 1306, 3013, 6591, 7115, 267, 621, 3459, 5935, 922, 11776, 4507, 267, 13326, 519, 991, 547, 5581, 513, 19918, 1977, 3961, 609, 519, 4052, 885, 540, 513, 3395, 2551, 269, 634, 476, 866, 628, 2540, 4718, 513, 10006, 538, 11776, 267, 3056, 547, 2804, 543, 2686, 14759, 855, 849, 8375, 28571, 22999, 27742, 269, 634, 476, 736, 628, 2540, 4547, 827, 811, 22608, 8060, 267, 609, 9086, 899, 519, 476, 4572, 275, 2817, 17959, 2920, 7957, 1681, 5375, 3864, 11082, 563, 293, 3271, 5866, 267, 538, 1880, 267, 814, 14754, 513, 13710, 3460, 538, 11776, 269, 3245, 513, 23661, 569, 20651, 3148, 547, 519, 8772, 28376, 1533, 267, 1454, 540, 713, 2208, 568, 11911, 547, 11776, 267, 2523, 689, 2477, 899, 18010, 267, 27425, 267, 543, 21896, 269, 4653, 267, 8419, 12066, 956, 609, 519, 4539, 540, 4028, 2208, 543, 15295, 10593, 267, 8272, 337, 1681, 519, 4182, 779, 6626, 2591, 609, 11776, 3609, 563, 763, 1699, 11556, 547, 7333, 19366, 9517, 6486, 568, 513, 2565, 795, 15802, 267, 10452, 519, 1533, 779, 543, 519, 4182, 779, 5571, 6560, 547, 3666, 3656, 10850, 609, 519, 1480, 3344, 540, 11776, 269, 898, 14550, 519, 10770, 3310, 540, 3140, 3270, 538, 5935, 4207, 11776, 4507, 543, 9840, 267, 25967, 1681, 519, 1950, 16799, 1063, 1533, 543, 5313, 4507, 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 ]
[ 0, 4289, 320, 815, 1496, 15947, 5814, 4351, 1477, 6112, 7003, 17338, 320, 264, 2999, 476, 1626, 6769, 825, 1003, 815, 4351, 27110, 263, 272, 267, 1704, 3418, 825, 952, 1003, 711, 538, 476, 30458, 6769, 1038, 30458, 6910, 16325, 10142, 24541, 2745, 4433, 9285, 17338, 320, 17903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26903, 540, 5444, 2962, 543, 4719, 6724, 585, 6556, 543, 922, 3334, 538, 7105, 701, 320, 454, 2414, 3313, 519, 5444, 2962, 543, 4719, 6724, 540, 29436, 2173, 6973, 1670, 7592, 538, 7105, 701, 320, 267, 2947, 1024, 8040, 540, 7105, 701, 320, 607, 513, 3368, 3866, 548, 331, 18084, 609, 1142, 824, 538, 476, 1220, 279, 267, 2947, 3237, 543, 476, 1015, 28738, 625, 941, 12630, 607, 19747, 2347, 3625, 1374, 609, 1614, 556, 4124, 543, 930, 7592, 1519, 2395, 547, 15496, 543, 15657, 941, 6592, 593, 4737, 4493, 950, 476, 2004, 260, 2371, 2095, 1229, 610, 9921, 323, 269, 7233, 4463, 267, 13947, 267, 7556, 4994, 267, 1297, 540, 3119, 8371, 267, 1297, 540, 10540, 338, 829, 2030, 267, 1297, 540, 5452, 829, 2030, 267, 476, 1911, 5498, 539, 2597, 543, 6079, 6556, 941, 6592, 585, 1142, 2030, 630, 1015, 8343, 1040, 9122, 593, 2079, 540, 13065, 267, 13065, 1813, 547, 19605, 5444, 2360, 4951, 1713, 3604, 585, 2030, 4463, 543, 1297, 540, 3119, 8371, 829, 2030, 269, 5637, 19605, 543, 17282, 4719, 2360, 941, 1713, 585, 2395, 547, 15496, 267, 2395, 547, 15657, 267, 13947, 267, 476, 1911, 5498, 539, 2597, 267, 7556, 4994, 267, 1297, 540, 10540, 338, 267, 5452, 543, 6079, 6556, 829, 2030, 269, 14451, 2418, 630, 285, 272, 264, 540, 519, 3328, 540, 17282, 630, 295, 272, 22230, 264, 272, 270, 273, 267, 513, 2268, 540, 936, 17282, 267, 941, 4767, 538, 713, 1353, 4849, 585, 2030, 4463, 543, 7556, 4994, 269, 14451, 2418, 540, 7522, 1606, 1619, 1200, 527, 1464, 729, 849, 4767, 585, 7556, 4994, 630, 6858, 15992, 476, 1911, 5498, 539, 2597, 630, 6321, 8472, 543, 2030, 4463, 630, 5655, 8472, 10834, 602, 5458, 4719, 2744, 1223, 581, 6913, 585, 891, 7592, 563, 7659, 1913, 281, 5410, 1438, 267, 7105, 701, 320, 267, 3866, 548, 331, 267, 17282, 267, 1200, 527, 1464, 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 ]
[ 0, 9223, 281, 589, 10051, 602, 3947, 1900, 8386, 9912, 5986, 5528, 538, 3943, 1223, 8300, 513, 4838, 538, 1893, 1565, 538, 519, 5177, 269, 1635, 1210, 513, 1007, 2029, 267, 621, 14753, 547, 596, 607, 596, 5965, 513, 3943, 8670, 269, 634, 10051, 9397, 1007, 2666, 676, 2921, 1893, 1565, 856, 540, 519, 4928, 543, 16046, 621, 609, 606, 11791, 543, 14785, 1483, 3734, 2534, 269, 634, 1007, 10051, 568, 2966, 547, 581, 1031, 538, 3506, 267, 9945, 543, 1256, 1004, 781, 5321, 269, 898, 1223, 849, 581, 606, 4540, 10051, 269, 634, 1101, 4528, 540, 519, 2029, 729, 7318, 538, 519, 6539, 29353, 540, 1788, 7649, 1715, 31069, 2160, 269, 634, 10051, 1223, 581, 2139, 585, 3506, 543, 9945, 267, 543, 585, 519, 5177, 2344, 676, 519, 4873, 540, 476, 1001, 275, 269, 634, 1715, 31069, 2160, 2319, 568, 1631, 2324, 593, 2081, 547, 2322, 621, 593, 519, 2344, 269, 1656, 519, 3864, 5742, 814, 2016, 2724, 547, 2253, 3292, 538, 3670, 824, 4654, 267, 1519, 2296, 7969, 543, 5053, 269, 7053, 267, 8747, 1223, 581, 2919, 585, 1022, 1893, 11951, 538, 519, 1158, 269, 7905, 6754, 3081, 267, 834, 3528, 3486, 4441, 267, 519, 5177, 1053, 616, 1631, 4057, 950, 621, 2501, 547, 1565, 4654, 734, 320, 1966, 602, 6157, 814, 606, 2804, 3310, 269, 1284, 3494, 602, 3384, 1983, 538, 513, 2197, 781, 1893, 543, 922, 11951, 786, 948, 1689, 519, 7678, 1701, 27883, 3738, 316, 476, 2201, 513, 2780, 6378, 883, 519, 10051, 267, 519, 3593, 1101, 2824, 338, 519, 3943, 11600, 789, 1616, 547, 1246, 269, 7913, 8596, 3710, 883, 8286, 267, 11149, 543, 824, 3937, 1287, 5968, 609, 519, 2780, 547, 1118, 2386, 519, 1318, 5528, 616, 2016, 693, 519, 1318, 942, 267, 519, 3593, 666, 2307, 519, 2780, 547, 10956, 606, 6044, 267, 610, 14377, 621, 883, 2296, 267, 3274, 676, 10296, 519, 5905, 5496, 269, 2991, 5986, 267, 519, 3593, 666, 1449, 1018, 789, 723, 4121, 676, 8876, 856, 513, 2110, 1449, 593, 519, 2780, 269, 2353, 8239, 543, 6863, 814, 1044, 5402, 5697, 547, 1118, 2386, 602, 1210, 519, 10051, 8591, 547, 2596, 15334, 538, 1620, 3943, 269, 3767, 1614, 2653, 21307, 11538, 8747, 540, 519, 10051, 616, 1373, 5423, 269, 1358, 2811, 547, 581, 6378, 538, 1715, 31069, 2160, 543, 693, 4659, 8071, 9820, 267, 513, 5507, 2861, 17493, 13991, 547, 3450, 519, 3943, 1893, 269, 27883, 3738, 316, 1548, 1131, 581, 519, 1655, 2140, 585, 519, 1257, 888, 271, 269, 5177, 1053, 723, 2042, 538, 1893, 1565, 563, 272, 269, 1715, 2029, 2337, 1053, 1565, 5986, 563, 273, 269, 1323, 11791, 543, 14785, 1483, 3734, 2534, 563, 274, 269, 589, 32695, 28881, 2334, 1855, 2851, 1411, 3943, 269, 2433, 27094, 3733, 667, 522, 326, 267, 1496, 23378, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3528, 2085, 476, 273, 267, 621, 1131, 581, 3339, 585, 596, 547, 1174, 1152, 827, 476, 272, 270, 273, 519, 1919, 707, 1126, 3081, 543, 676, 2085, 476, 274, 596, 1522, 1152, 1174, 476, 4037, 260, 540, 1018, 789, 2161, 269, 769, 1249, 267, 621, 1131, 581, 3339, 585, 513, 1126, 711, 547, 2161, 782, 4633, 4992, 7157, 2394, 9656, 2336, 2080, 616, 930, 1455, 6959, 585, 20854, 543, 23021, 547, 1118, 912, 268, 590, 11691, 1152, 835, 3280, 538, 513, 12440, 540, 476, 273, 610, 476, 274, 4992, 630, 9987, 281, 1412, 4944, 3019, 262, 3587, 1412, 335, 3019, 5073, 268, 590, 11691, 654, 585, 681, 543, 700, 630, 9987, 281, 1412, 4599, 4226, 262, 3587, 1412, 342, 629, 4226, 3299, 1412, 331, 913, 262, 3587, 1412, 342, 913, 5073, 268, 590, 11691, 590, 609, 741, 11469, 1063, 741, 4522, 630, 5894, 4771, 994, 268, 590, 11691, 674, 585, 8946, 630, 9987, 281, 1412, 325, 3518, 262, 585, 1412, 628, 3518, 5073, 8170, 1576, 267, 3237, 4043, 547, 1174, 741, 1453, 1732, 982, 4896, 3116, 267, 1317, 789, 2811, 1031, 547, 741, 12332, 269, 1809, 972, 616, 1869, 1346, 24858, 8090, 950, 596, 1175, 1810, 1405, 917, 1018, 602, 1126, 568, 6031, 256, 2311, 891, 2053, 267, 2119, 547, 948, 707, 1126, 1265, 824, 2081, 547, 2995, 596, 1018, 789, 1616, 269, 1358, 666, 1412, 19651, 262, 596, 267, 610, 2161, 621, 538, 1776, 1259, 547, 948, 596, 1174, 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 ]
[ 0, 258, 256, 23591, 24800, 19841, 341, 9226, 22322, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 9041, 265, 268, 8528, 258, 918, 6573, 28997, 501, 25622, 15159, 13601, 26175, 491, 21211, 31033, 4970, 366, 25060, 373, 421, 483, 491, 28997, 501, 25622, 8147, 23746, 23284, 21928, 744, 3799, 266, 332, 264, 476, 7511, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 19540, 483, 14395, 508, 27064, 364, 4970, 353, 14748, 21211, 31033, 4970, 366, 7511, 25060, 373, 421, 483, 491, 25707, 258, 13127, 28187, 12916, 499, 418, 505, 368, 417, 354, 377, 7511, 419, 494, 484, 25335, 352, 25520, 26406, 490, 418, 493, 350, 918, 6573, 22614, 362, 501, 25622, 286, 910, 28859, 502, 362, 27310, 27882, 351, 7511, 18713, 508, 419, 511, 498, 910, 22614, 509, 354, 18263, 492, 454, 258, 4179, 2517, 4178, 269, 345, 6062, 16852, 2593, 270, 23896, 270, 25546, 15996, 2641, 270, 24987, 270, 9818, 29214, 276, 4366, 277, 692, 258, 623, 476, 7511, 1985, 476, 12255, 14756, 482, 27936, 18263, 487, 20992, 16088, 10113, 5157, 316, 476, 23989, 419, 353, 374, 623, 314, 271, 316, 9625, 623, 5157, 316, 476, 30244, 22047, 31878, 4970, 366, 8147, 12916, 379, 23523, 501, 13127, 487, 491, 330, 14748, 21211, 31033, 418, 479, 364, 419, 511, 487, 30678, 12571, 492, 330, 14748, 21211, 31033, 476, 7511, 31006, 27962, 7511, 330, 780, 5035, 918, 300, 4916, 518, 778, 24998, 2187, 453, 18851, 25269, 11415, 585, 918, 300, 4916, 518, 778, 12163, 22592, 6449, 8181, 9191, 1345, 2187, 453, 453, 27273, 263, 298, 300, 4916, 518, 778, 267, 1582, 1040, 1029, 8181, 9191, 2020, 22592, 1205, 301, 868, 4311, 267, 533, 267, 1535, 2187, 453, 453, 18257, 420, 492, 371, 9463, 500, 1985, 20572, 2639, 453, 453, 18411, 453, 22610, 1775, 538, 2039, 3287, 267, 476, 271, 267, 910, 272, 2567, 476, 453, 453, 258, 476, 10524, 492, 1535, 476, 28996, 476, 272, 17276, 508, 504, 4970, 378, 454, 4848, 14851, 533, 314, 271, 281, 328, 316, 2652, 533, 20572, 25829, 266, 272, 281, 343, 266, 272, 14158, 15235, 16596, 1775, 476, 15235, 453, 258, 13127, 28187, 31563, 31176, 491, 419, 376, 478, 419, 511, 487, 30678, 12571, 492, 419, 376, 478, 10254, 503, 13213, 498, 18713, 508, 454, 453, 16596, 476, 271, 692, 22592, 1628, 301, 868, 4311, 267, 533, 2187, 453, 453, 333, 868, 815, 1496, 271, 316, 453, 258, 1985, 314, 271, 316, 13127, 379, 483, 419, 482, 370, 20992, 271, 454, 453, 453, 343, 815, 476, 272, 4848, 453, 258, 476, 10524, 492, 10113, 314, 272, 316, 19764, 478, 417, 356, 489, 418, 365, 480, 454, 453, 453, 852, 815, 476, 271, 28768, 453, 453, 6112, 1535, 2999, 7003, 9638, 2187, 4848, 14851, 533, 314, 852, 316, 2525, 335, 20572, 13912, 1948, 13127, 28187, 31563, 335, 314, 852, 316, 2525, 335, 20572, 316, 8147, 12571, 495, 9463, 367, 19867, 358, 31271, 499, 13601, 12916, 491, 454, 15235, 453, 852, 6834, 476, 272, 454, 15235, 453, 343, 6834, 476, 272, 454, 15235, 453, 333, 868, 6910, 263, 852, 994, 4848, 453, 19197, 1631, 912, 15235, 453, 852, 815, 562, 868, 314, 852, 268, 272, 316, 453, 258, 22614, 376, 358, 16533, 493, 852, 8147, 418, 498, 373, 29873, 333, 868, 314, 852, 268, 272, 2639, 4848, 28432, 912, 15235, 453, 333, 868, 6910, 263, 271, 264, 453, 453, 258, 1631, 26266, 366, 14756, 493, 20992, 271, 8147, 20721, 510, 25622, 19540, 491, 419, 376, 358, 8147, 10533, 483, 10113, 20572, 316, 815, 476, 271, 454, 15235, 453, 343, 6834, 476, 272, 454, 453, 16596, 562, 868, 692, 22592, 3406, 4311, 267, 521, 267, 533, 2187, 453, 453, 258, 562, 868, 815, 1496, 1345, 10947, 301, 868, 9638, 267, 1535, 264, 585, 1535, 538, 2039, 12759, 9638, 4297, 2639, 453, 453, 333, 868, 815, 1582, 12500, 4265, 301, 868, 9638, 994, 453, 13537, 630, 333, 868, 994, 453, 453, 30198, 815, 476, 271, 453, 453, 258, 13545, 281, 476, 4970, 375, 4970, 366, 18809, 16533, 484, 28884, 25060, 373, 421, 483, 491, 7511, 12916, 491, 419, 377, 362, 454, 453, 453, 1842, 815, 476, 271, 453, 453, 258, 1064, 281, 17276, 357, 350, 19764, 493, 4970, 366, 18809, 16533, 484, 28884, 25060, 373, 421, 483, 491, 7511, 12916, 491, 419, 377, 362, 454, 453, 453, 6112, 13545, 2999, 7003, 4433, 2187, 4848, 14851, 521, 314, 30198, 316, 2525, 335, 314, 1842, 13912, 453, 258, 29635, 489, 354, 4970, 353, 14748, 21211, 31033, 25203, 372, 419, 511, 487, 8147, 10254, 503, 30198, 267, 1842, 12571, 482, 31176, 491, 13213, 505, 13601, 27882, 354, 454, 15235, 453, 30198, 6834, 476, 272, 454, 15235, 453, 1842, 6834, 476, 272, 454, 4848, 453, 19197, 1064, 281, 4848, 453, 258, 13127, 353, 365, 421, 483, 491, 29072, 12486, 420, 489, 354, 1842, 256, 284, 271, 8147, 10254, 503, 28032, 507, 29004, 362, 333, 868, 12255, 14756, 482, 26175, 375, 20693, 357, 21550, 485, 16533, 374, 454, 15235, 453, 1842, 815, 562, 868, 314, 1842, 268, 272, 2639, 4848, 28432, 912, 15235, 453, 30198, 6834, 476, 272, 453, 453, 258, 533, 314, 271, 316, 14035, 365, 421, 483, 491, 8147, 25203, 368, 26406, 354, 26175, 375, 20693, 357, 30198, 692, 4848, 14851, 1064, 2525, 6352, 9638, 2567, 4848, 453, 258, 13127, 490, 373, 421, 483, 491, 29873, 20693, 509, 454, 15235, 13537, 630, 30198, 910, 1064, 264, 453, 258, 476, 27447, 24731, 4970, 375, 4970, 366, 31968, 7511, 420, 369, 371, 417, 356, 489, 12916, 491, 419, 377, 362, 454, 15235, 453, 1842, 815, 562, 868, 314, 1842, 268, 272, 316, 453, 258, 22614, 356, 375, 20693, 357, 21550, 485, 16533, 374, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 338, 815, 1412, 629, 7251, 19487, 629, 864, 342, 6767, 7055, 453, 335, 815, 1412, 321, 629, 629, 7055, 453, 330, 5404, 15507, 815, 918, 300, 4916, 518, 778, 4590, 453, 330, 5404, 15507, 269, 14142, 4433, 267, 533, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1321, 3967, 476, 1001, 271, 476, 1556, 281, 4905, 281, 6021, 454, 289, 584, 3455, 5832, 8214, 956, 10800, 3327, 5434, 454, 288, 2101, 1382, 1788, 883, 10800, 6366, 18834, 568, 1373, 9250, 676, 31780, 781, 538, 513, 19915, 547, 2569, 3327, 5434, 563, 763, 3276, 3455, 5832, 568, 2324, 609, 6917, 5077, 3599, 19889, 273, 19061, 547, 4693, 1007, 8105, 2409, 543, 20894, 3327, 5434, 2066, 519, 476, 12573, 11396, 1031, 676, 519, 5832, 538, 519, 5177, 543, 8581, 563, 30025, 5515, 7866, 602, 13184, 5434, 616, 3743, 585, 2185, 2600, 540, 519, 5177, 781, 3327, 11640, 269, 31780, 781, 4867, 3096, 1472, 476, 274, 267, 4335, 12418, 513, 1032, 563, 2005, 729, 7229, 538, 476, 1220, 277, 602, 6721, 513, 2582, 10381, 10767, 3455, 2164, 538, 5434, 540, 5111, 476, 274, 269, 272, 11899, 540, 3327, 8166, 563, 292, 1723, 273, 19061, 8689, 8834, 11023, 28002, 1767, 281, 834, 2467, 814, 1044, 513, 2603, 540, 4901, 543, 25127, 827, 519, 8511, 3154, 5434, 2404, 609, 13184, 2504, 563, 21893, 2203, 786, 585, 519, 1101, 942, 3142, 12001, 1239, 689, 1483, 11396, 547, 8308, 1217, 602, 7521, 4799, 763, 2164, 267, 1813, 538, 4989, 267, 786, 581, 540, 1719, 547, 519, 14132, 2872, 799, 729, 5143, 2063, 3018, 676, 519, 2229, 547, 2539, 3327, 5434, 543, 20576, 1648, 18026, 2409, 540, 8105, 269, 10674, 2517, 339, 4176, 14766, 2593, 270, 11770, 279, 321, 25632, 341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16158, 11778, 692, 288, 23479, 568, 519, 1267, 5833, 676, 12270, 835, 7274, 676, 1776, 269, 1924, 267, 519, 23479, 540, 476, 276, 543, 1776, 1297, 568, 281, 476, 276, 5258, 676, 562, 692, 4178, 269, 531, 5040, 2593, 270, 531, 5040, 10774, 727, 1740, 270, 1723, 15453, 270, 5320, 13624, 710, 541, 318, 13420, 725, 318, 4517, 318, 21902, 338, 13718, 31580, 9847, 3213, 15453, 7010, 543, 12430, 12307, 9847, 12430, 12307, 543, 7010, 6478, 10819, 9847, 25663, 28513, 281, 834, 763, 23479, 540, 513, 1297, 543, 476, 276, 568, 519, 1482, 607, 519, 1587, 540, 519, 1297, 543, 476, 276, 269, 8340, 519, 1297, 1701, 594, 991, 948, 6061, 713, 2262, 1966, 269, 1924, 2484, 267, 1018, 594, 723, 2944, 568, 713, 281, 774, 8298, 2201, 692, 28090, 569, 2593, 270, 23896, 270, 279, 5392, 280, 1321, 272, 692, 4131, 1535, 2099, 519, 1297, 269, 1284, 723, 1044, 2016, 513, 4845, 269, 1284, 616, 9277, 547, 2328, 606, 4082, 585, 938, 2016, 4845, 269, 634, 23479, 540, 513, 1297, 1535, 543, 2947, 1131, 581, 1547, 1677, 1265, 519, 2040, 540, 1079, 543, 519, 23479, 540, 513, 1297, 1535, 543, 2947, 267, 649, 991, 547, 1039, 476, 273, 547, 607, 281, 4475, 267, 938, 2838, 4082, 1131, 581, 16317, 338, 7095, 3820, 270, 638, 5465, 11721, 712, 268, 1652, 31032, 7308, 6709, 582, 1304, 6361, 8584, 5991, 3784, 14870, 7146, 268, 276, 692, 343, 270, 276, 268, 275, 834, 19177, 1447, 982, 519, 23479, 540, 513, 1297, 1535, 543, 476, 276, 257, 666, 581, 6719, 676, 606, 4082, 269, 834, 763, 23479, 540, 513, 1297, 1535, 543, 476, 276, 257, 568, 1535, 270, 276, 834, 19177, 1447, 257, 1797, 596, 786, 10208, 476, 275, 689, 621, 269, 1924, 519, 2949, 4082, 568, 1535, 270, 276, 268, 275, 692, 288, 23479, 568, 519, 1267, 5833, 676, 12270, 835, 7274, 676, 1776, 267, 543, 513, 3017, 568, 519, 1267, 5833, 676, 18946, 1079, 2338, 269, 1924, 267, 519, 23479, 540, 519, 3017, 1063, 476, 276, 543, 513, 1297, 27250, 1492, 1587, 540, 513, 1297, 543, 476, 273, 568, 476, 276, 1447, 982, 519, 23479, 540, 513, 1297, 543, 476, 274, 269, 519, 1587, 540, 513, 1297, 543, 476, 273, 568, 476, 276, 1447, 982, 519, 23479, 540, 513, 1297, 543, 476, 274, 780, 4178, 26716, 559, 574, 987, 2593, 270, 1652, 976, 270, 842, 1238, 2563, 17038, 5040, 270, 531, 5040, 545, 7721, 335, 11306, 692, 763, 3017, 630, 2224, 14263, 3090, 264, 540, 17784, 513, 1297, 543, 476, 276, 1058, 581, 2854, 607, 476, 274, 344, 910, 476, 276, 269, 7151, 476, 274, 281, 634, 2040, 540, 519, 23479, 540, 544, 543, 476, 273, 2073, 543, 519, 1587, 540, 476, 275, 543, 562, 1547, 8382, 281, 769, 713, 2013, 267, 519, 7164, 2338, 616, 2907, 3177, 607, 544, 543, 562, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3721, 338, 281, 1677, 5447, 14103, 3693, 23276, 4741, 912, 268, 5153, 272, 281, 8923, 1832, 538, 2247, 602, 519, 3109, 1377, 3693, 3217, 2407, 2139, 8700, 563, 268, 5153, 273, 281, 25849, 532, 513, 3586, 8700, 1871, 540, 519, 3625, 7400, 3693, 11151, 621, 689, 15198, 856, 547, 519, 6316, 540, 519, 8708, 269, 3767, 267, 3651, 14345, 281, 10081, 282, 3959, 547, 519, 3625, 3693, 269, 769, 713, 2013, 267, 519, 3625, 7400, 3693, 568, 13988, 23276, 4099, 267, 543, 519, 6967, 8900, 2230, 5258, 8449, 883, 519, 2451, 543, 1318, 19114, 563, 14197, 16522, 1314, 1280, 4741, 1325, 9892, 2986, 13332, 5426, 27100, 454, 9616, 281, 763, 14103, 3693, 666, 581, 13988, 2901, 8880, 610, 7299, 269, 634, 8880, 12972, 786, 581, 2451, 267, 4099, 543, 1318, 1247, 7299, 12972, 786, 581, 1283, 267, 5377, 267, 543, 4099, 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 ]
[ 0, 258, 299, 7572, 7557, 1075, 320, 1477, 258, 273, 270, 2764, 270, 1708, 271, 1477, 258, 1607, 1982, 2638, 952, 519, 1297, 568, 538, 2039, 689, 476, 272, 267, 1015, 23228, 258, 2005, 786, 1820, 856, 538, 538, 9792, 610, 711, 538, 2039, 269, 21506, 3698, 1449, 318, 9792, 3799, 8029, 825, 952, 562, 538, 2039, 630, 272, 267, 1015, 8029, 1038, 1820, 2891, 4939, 338, 568, 538, 519, 2039, 257, 260, 1598, 3799, 17903, 825, 3116, 6769, 1038, 1820, 2891, 763, 1297, 568, 3544, 519, 2016, 2039, 1701, 10142, 333, 815, 3403, 2891, 13911, 538, 1022, 1297, 547, 2638, 519, 2039, 14744, 11687, 318, 9792, 263, 1428, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 3201, 9281, 3036, 301, 8656, 5254, 12442, 6167, 4353, 8991, 14510, 267, 661, 17129, 645, 17751, 24202, 454, 6635, 1206, 267, 27065, 267, 543, 4065, 6997, 454, 291, 7968, 11286, 16774, 5508, 670, 9331, 3198, 667, 14110, 5085, 8008, 16774, 6730, 654, 6865, 2894, 24202, 22295, 22494, 454, 288, 681, 570, 590, 454, 1692, 1281, 9525, 538, 519, 6575, 4324, 6107, 888, 1692, 666, 519, 6575, 581, 1031, 607, 513, 1907, 585, 2635, 3929, 454, 10339, 1833, 538, 18273, 888, 1692, 1281, 1373, 3238, 538, 519, 6575, 1860, 519, 1514, 10600, 540, 6107, 888, 1692, 666, 6107, 581, 6462, 547, 1020, 741, 7499, 1761, 888, 290, 681, 661, 589, 570, 594, 966, 594, 570, 962, 454, 1692, 568, 5876, 1031, 3544, 540, 7499, 23447, 543, 538, 4948, 1272, 888, 1692, 798, 2818, 540, 7499, 2516, 12840, 21176, 1927, 888, 6701, 972, 7209, 3604, 1063, 1114, 3860, 11890, 888, 1432, 1281, 621, 1611, 547, 581, 3860, 888, 292, 667, 772, 595, 589, 570, 594, 744, 715, 454, 1692, 666, 519, 6575, 543, 5876, 581, 9415, 543, 8246, 538, 2069, 888, 19741, 3246, 4013, 22581, 267, 875, 666, 5238, 540, 2362, 2069, 1683, 513, 811, 8537, 543, 22205, 1604, 888, 1432, 616, 519, 2591, 2146, 2852, 1053, 3068, 950, 454, 10520, 2536, 2590, 547, 513, 476, 275, 4458, 6280, 888, 1432, 616, 519, 1655, 2081, 547, 1489, 2852, 1053, 945, 616, 3237, 454, 323, 1005, 741, 2069, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 1215, 547, 16259, 12465, 623, 29301, 334, 12397, 30103, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 2414, 1118, 2757, 623, 29301, 334, 8970, 30103, 267, 596, 786, 991, 519, 1739, 5820, 1384, 265, 476, 273, 11680, 4544, 8970, 22596, 630, 2181, 2536, 2406, 6149, 2666, 994, 265, 476, 272, 512, 4944, 6070, 454, 265, 476, 272, 512, 26138, 11256, 8869, 454, 265, 476, 272, 7484, 3636, 1216, 454, 265, 476, 272, 270, 275, 7484, 10448, 3282, 454, 265, 476, 272, 270, 275, 7484, 9932, 454, 265, 476, 273, 1804, 5798, 692, 23325, 8970, 22596, 568, 513, 20013, 12146, 538, 623, 29301, 334, 5986, 543, 3947, 713, 8970, 30103, 922, 10058, 2681, 543, 8137, 269, 1411, 666, 1265, 621, 693, 1034, 1072, 1426, 8637, 610, 2228, 780, 3721, 476, 273, 281, 2776, 17742, 2659, 744, 1597, 454, 7093, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 2755, 519, 14089, 568, 8022, 267, 31294, 513, 476, 280, 20878, 5180, 14735, 3443, 609, 10448, 3282, 780, 3721, 476, 274, 281, 17186, 16959, 23123, 454, 1103, 513, 1804, 11544, 12826, 267, 31953, 1927, 519, 4544, 8970, 22596, 267, 6070, 267, 543, 11256, 8869, 2394, 1134, 5916, 780, 3721, 476, 275, 281, 5410, 22911, 23123, 454, 8620, 513, 1134, 538, 519, 4099, 540, 519, 3819, 7848, 543, 13248, 538, 519, 3636, 1216, 267, 10448, 3282, 267, 9932, 267, 543, 29041, 5798, 269, 853, 597, 9900, 2394, 1175, 5916, 1107, 798, 711, 936, 332, 1460, 269, 634, 4402, 1058, 581, 5594, 561, 17056, 780, 7659, 17785, 281, 14190, 532, 519, 6632, 5820, 547, 2097, 547, 4055, 2837, 1354, 4946, 873, 547, 519, 3819, 3575, 5849, 1256, 16471, 543, 11151, 804, 18804, 780, 3721, 476, 276, 281, 32449, 645, 2660, 883, 7754, 454, 9558, 2536, 519, 4402, 547, 519, 5423, 14735, 3443, 267, 10825, 621, 856, 12347, 609, 513, 22883, 3121, 780, 3721, 476, 277, 281, 645, 820, 519, 12397, 30103, 454, 289, 820, 519, 8970, 30103, 538, 519, 840, 515, 730, 14089, 585, 5111, 476, 1839, 3764, 610, 2394, 519, 8728, 616, 11344, 6960, 543, 513, 21491, 1157, 17332, 883, 519, 4099, 2501, 856, 2973, 780, 3721, 476, 278, 281, 15346, 6969, 4419, 532, 454, 7230, 913, 519, 8970, 30103, 689, 519, 14089, 543, 1577, 621, 3579, 585, 827, 476, 1015, 3764, 1354, 14253, 532, 543, 7674, 269, 17949, 2439, 3528, 1739, 891, 3268, 267, 596, 3513, 1711, 513, 8949, 543, 8076, 623, 29301, 334, 8970, 30103, 3501, 585, 4687, 1282, 1920, 19771, 610, 2027, 14026, 899, 7111, 1977, 11595, 13600, 16873, 269, 5457, 2141, 547, 2463, 6237, 7648, 543, 3082, 10346, 2687, 547, 2123, 7375, 543, 8192, 9993, 950, 3695, 1114, 11477, 5389, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5804, 1169, 4282, 543, 17174, 4182, 267, 7111, 1977, 12075, 616, 513, 4105, 851, 540, 1686, 269, 898, 779, 1898, 547, 30425, 7111, 1977, 17691, 267, 6432, 547, 7111, 9739, 267, 1451, 827, 17174, 4763, 267, 543, 1489, 7341, 602, 3343, 547, 2232, 519, 2591, 5185, 676, 7111, 17650, 525, 543, 7087, 1004, 1247, 14120, 741, 2686, 6561, 563, 763, 772, 2529, 269, 3459, 9301, 7111, 1977, 11595, 13600, 607, 513, 3018, 17489, 2616, 766, 538, 476, 2735, 277, 543, 729, 9450, 547, 513, 3923, 17489, 862, 655, 2610, 538, 476, 1960, 271, 563, 1911, 7111, 4892, 5808, 1744, 9464, 1977, 3778, 454, 5804, 8293, 27053, 547, 15762, 15676, 933, 320, 267, 590, 9231, 18409, 547, 15434, 5414, 21696, 267, 10548, 7431, 26999, 9116, 547, 7200, 1047, 661, 6113, 5341, 543, 1082, 811, 267, 3988, 786, 581, 5189, 547, 5159, 267, 15628, 267, 3744, 267, 543, 24069, 2429, 1686, 563, 1607, 3135, 814, 606, 24988, 6725, 2078, 609, 22099, 269, 594, 949, 4309, 513, 1507, 29748, 13927, 610, 10243, 952, 596, 1129, 909, 585, 2533, 610, 6718, 513, 1587, 269, 901, 2636, 803, 547, 3136, 547, 1225, 622, 1543, 563, 763, 27067, 540, 519, 7111, 4892, 454, 4322, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 303, 29301, 334, 18181, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 7111, 1977, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 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 ]
[ 0, 347, 3519, 1555, 518, 9635, 693, 519, 5800, 540, 14205, 20087, 269, 17421, 676, 13191, 717, 686, 612, 270, 4785, 293, 16703, 2008, 763, 5800, 540, 14205, 20087, 267, 476, 1240, 5195, 24654, 593, 519, 14205, 20087, 5211, 630, 24992, 3162, 10491, 543, 11908, 264, 568, 519, 2034, 1668, 5006, 8708, 2823, 593, 519, 5101, 11076, 269, 634, 5571, 14205, 20087, 23320, 28841, 5741, 786, 2087, 6928, 12445, 543, 1450, 3677, 9635, 609, 18219, 524, 1173, 657, 1569, 547, 519, 2823, 1510, 7996, 585, 519, 29500, 269, 1717, 267, 713, 1788, 1223, 13497, 1860, 519, 19126, 543, 1216, 2298, 540, 519, 14205, 20087, 5211, 543, 14205, 20087, 2817, 13812, 25083, 267, 17116, 519, 4763, 540, 27436, 5017, 543, 824, 7320, 602, 4096, 593, 713, 4105, 7226, 269, 4437, 5505, 609, 938, 11908, 26954, 7896, 8433, 543, 14205, 20087, 2817, 13812, 25083, 616, 2324, 609, 519, 824, 5313, 8041, 267, 519, 1533, 8041, 540, 3162, 10491, 543, 11908, 267, 543, 824, 2516, 547, 11574, 519, 2825, 5222, 540, 713, 22426, 29947, 269, 769, 513, 2489, 2631, 267, 968, 2466, 580, 622, 892, 1797, 547, 1491, 3800, 547, 15558, 606, 2962, 781, 8801, 5222, 593, 513, 2067, 4199, 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, 5035, 3662, 10031, 825, 2012, 815, 5257, 454, 825, 2085, 815, 476, 271, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 815, 262, 3299, 2085, 815, 476, 271, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 825, 1219, 1397, 4311, 2187, 1038, 1820, 3488, 7069, 2012, 568, 2433, 22207, 1582, 20508, 994, 825, 1219, 2196, 4311, 2187, 1038, 1820, 3488, 27154, 568, 4881, 5073, 825, 1219, 979, 4311, 2187, 1038, 1820, 3488, 27154, 568, 2469, 1862, 5073, 8931, 258, 1362, 2915, 263, 534, 2711, 2187, 258, 672, 1219, 2196, 4311, 2187, 258, 1363, 1820, 18011, 291, 690, 568, 4881, 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 ]
[ 0, 17359, 540, 1272, 2433, 3695, 3047, 781, 9265, 1315, 1913, 676, 1772, 8475, 7338, 6902, 5961, 676, 30960, 717, 3739, 5069, 563, 268, 9768, 281, 476, 8146, 279, 5780, 276, 3607, 277, 454, 268, 9768, 281, 476, 7818, 8146, 279, 5780, 276, 3607, 275, 454, 268, 8447, 13517, 281, 476, 23417, 3817, 2433, 2681, 12383, 6902, 476, 2641, 1535, 476, 2190, 4699, 454, 268, 21629, 281, 1715, 3840, 267, 12924, 2433, 1912, 4660, 517, 4964, 5549, 1421, 3097, 21270, 9560, 2762, 267, 3092, 269, 8074, 10573, 454, 1103, 11079, 12190, 7240, 8100, 543, 4994, 563, 21893, 1148, 995, 543, 3015, 3391, 547, 3047, 781, 10326, 540, 5020, 734, 1492, 4704, 1907, 1031, 676, 3744, 547, 10891, 519, 6909, 3099, 540, 2713, 1919, 593, 938, 4541, 734, 3559, 1186, 1762, 3988, 1174, 875, 1169, 2713, 13442, 267, 689, 519, 17646, 5006, 10351, 547, 519, 7887, 4544, 17962, 267, 568, 851, 540, 835, 2462, 1920, 3529, 257, 734, 5228, 17404, 781, 6609, 563, 15507, 585, 1644, 3688, 676, 1641, 454, 347, 20428, 10573, 289, 1675, 1751, 3436, 19565, 3332, 563, 289, 8438, 2950, 3436, 19565, 3332, 563, 268, 476, 272, 540, 476, 274, 12215, 2139, 693, 24157, 558, 566, 269, 630, 17004, 994, 268, 476, 272, 540, 476, 272, 5299, 2139, 693, 5975, 3559, 5398, 7732, 563, 268, 476, 271, 1699, 6585, 609, 476, 274, 2698, 12215, 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 ]
[ 0, 594, 1175, 8737, 2542, 18278, 476, 26493, 676, 14105, 17659, 12064, 585, 519, 3791, 942, 267, 543, 1169, 2582, 1224, 9514, 338, 1250, 2247, 269, 898, 781, 1044, 5756, 2094, 621, 729, 3370, 267, 855, 922, 10083, 2221, 568, 1524, 2431, 552, 24809, 256, 1411, 917, 1018, 13351, 803, 1034, 1282, 713, 1880, 1224, 286, 634, 4487, 995, 6165, 540, 22509, 17495, 12976, 538, 519, 1433, 22924, 2813, 971, 606, 7920, 5790, 2429, 519, 1650, 780, 3383, 1934, 781, 1945, 4277, 594, 8068, 281, 3314, 875, 519, 1360, 1101, 1899, 4422, 267, 834, 2005, 729, 513, 12257, 547, 6633, 22172, 2382, 656, 22509, 17495, 12976, 1318, 972, 256, 8738, 940, 7140, 856, 547, 581, 513, 1713, 3693, 538, 519, 3209, 267, 8204, 1312, 9552, 543, 32193, 269, 2372, 924, 2219, 4538, 267, 3884, 1405, 621, 2496, 4517, 1287, 972, 781, 22548, 23579, 267, 713, 28031, 5652, 21717, 945, 2729, 2282, 24053, 8053, 698, 630, 1492, 16502, 1040, 4256, 3355, 7237, 5705, 569, 20726, 539, 693, 519, 522, 2381, 748, 7004, 938, 2486, 1185, 22734, 269, 1879, 1352, 5018, 875, 3595, 5443, 1031, 547, 24773, 880, 11642, 1394, 538, 519, 1554, 267, 594, 5433, 669, 1571, 4881, 1524, 1250, 12636, 256, 2334, 835, 1899, 7000, 865, 1454, 827, 519, 27390, 1158, 649, 941, 827, 547, 4685, 883, 780, 3719, 3180, 5196, 707, 22970, 1317, 1934, 2501, 519, 30861, 851, 1107, 519, 4729, 6335, 256, 1924, 607, 594, 6854, 7432, 3817, 267, 594, 7691, 602, 1247, 3025, 1472, 1864, 8604, 1543, 609, 741, 22293, 267, 8053, 698, 7012, 1405, 269, 1261, 1032, 2740, 585, 1702, 267, 585, 6209, 7391, 3564, 13719, 10509, 2389, 1779, 269, 1656, 1287, 3357, 19468, 1399, 267, 1010, 8783, 267, 838, 3739, 782, 1346, 7401, 3762, 17782, 8053, 698, 781, 31587, 20729, 531, 256, 2494, 267, 594, 4769, 1405, 1294, 2608, 7474, 265, 4947, 256, 1809, 3168, 1394, 1631, 267, 3388, 8593, 9985, 883, 1747, 780, 1607, 2898, 1995, 1500, 803, 2992, 593, 938, 1699, 2078, 609, 1344, 543, 2029, 269, 3657, 649, 1022, 1114, 689, 519, 4961, 540, 17659, 12064, 781, 29711, 1014, 1158, 286, 23985, 4502, 11432, 1359, 8197, 1862, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 22860, 2763, 519, 946, 540, 22509, 17495, 12976, 538, 14105, 17659, 12064, 781, 834, 293, 16366, 476, 26493, 4799, 293, 2803, 17495, 12976, 568, 1031, 14916, 538, 14105, 17659, 12064, 781, 834, 293, 16366, 476, 26493, 257, 547, 2303, 602, 519, 2486, 13269, 538, 519, 3209, 568, 16144, 2509, 9552, 269, 1452, 8320, 540, 22509, 17495, 12976, 1628, 909, 8082, 543, 11168, 519, 12178, 540, 519, 2621, 602, 616, 827, 547, 11200, 780, 20058, 267, 519, 6679, 4845, 540, 519, 1433, 910, 834, 2005, 729, 513, 12257, 547, 6633, 257, 910, 5612, 5036, 519, 3159, 585, 519, 3209, 543, 22509, 17495, 3298, 519, 6249, 540, 9552, 543, 519, 8781, 540, 2835, 269, 901, 5267, 602, 3595, 786, 1404, 513, 2629, 1909, 538, 519, 1650, 780, 30772, 267, 519, 6643, 1063, 8053, 698, 543, 22548, 23579, 593, 741, 1101, 5870, 23456, 693, 519, 16160, 2470, 540, 741, 2486, 269, 22548, 23579, 6645, 8053, 698, 602, 729, 2899, 513, 942, 950, 3595, 5443, 2322, 856, 11642, 3079, 540, 4358, 873, 267, 31552, 602, 519, 2486, 814, 22734, 513, 7372, 1689, 269, 2701, 849, 19528, 602, 1004, 1100, 3476, 2911, 3068, 547, 3068, 543, 519, 1152, 1259, 789, 5968, 568, 998, 2029, 780, 23612, 569, 267, 519, 9888, 686, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 29242, 267, 513, 1533, 538, 7013, 3127, 267, 513, 7333, 729, 2322, 538, 1747, 593, 2021, 10024, 519, 17939, 541, 2711, 320, 11454, 585, 19001, 2063, 5181, 269, 2201, 5130, 476, 272, 560, 267, 476, 273, 2021, 941, 519, 1101, 547, 4283, 519, 11454, 538, 5553, 267, 543, 607, 513, 1267, 267, 621, 3361, 1082, 10795, 17600, 563, 763, 10966, 7040, 24850, 519, 7333, 1317, 789, 5156, 621, 5806, 3990, 1996, 2021, 267, 543, 789, 1058, 581, 2111, 547, 10847, 538, 519, 11454, 269, 589, 22557, 2006, 1767, 602, 519, 476, 273, 2021, 6836, 547, 4283, 519, 11454, 538, 5412, 267, 855, 10795, 4254, 338, 17808, 519, 11454, 9885, 269, 634, 4408, 540, 519, 476, 273, 2021, 616, 267, 645, 8114, 2549, 2381, 328, 543, 918, 1678, 611, 4026, 320, 267, 543, 789, 2461, 4867, 15720, 689, 519, 4254, 338, 543, 616, 9363, 609, 741, 14077, 563, 763, 4254, 338, 3893, 865, 3983, 602, 2941, 338, 1185, 547, 3142, 1216, 28994, 976, 543, 15237, 3154, 547, 2736, 621, 909, 269, 2290, 540, 519, 1486, 22246, 729, 513, 812, 602, 729, 538, 519, 645, 297, 303, 630, 32038, 10620, 5984, 3967, 1092, 9549, 1040, 4340, 547, 23711, 267, 634, 645, 297, 303, 616, 3843, 547, 1832, 519, 7333, 267, 855, 519, 812, 729, 7166, 676, 1486, 22246, 945, 28520, 10007, 693, 1010, 2212, 563, 763, 476, 273, 2021, 3893, 948, 689, 7128, 547, 4283, 519, 11454, 267, 799, 949, 723, 849, 3361, 519, 10795, 27632, 1824, 269, 1924, 2484, 267, 519, 7128, 723, 18486, 476, 273, 1004, 267, 543, 476, 275, 1004, 941, 13676, 563, 2026, 1082, 607, 2947, 2929, 2021, 1486, 22246, 3576, 851, 538, 513, 12560, 13889, 269, 1358, 2813, 513, 968, 342, 1580, 3774, 892, 543, 6905, 741, 7916, 547, 1397, 789, 2461, 1489, 540, 4008, 7862, 269, 634, 2021, 3774, 729, 476, 4343, 276, 5195, 1279, 543, 513, 3540, 22700, 1767, 267, 968, 2467, 941, 865, 1082, 2021, 543, 972, 7012, 1406, 1256, 2230, 585, 2021, 547, 8831, 7916, 269, 1403, 789, 1185, 6905, 741, 7916, 267, 519, 3259, 540, 519, 3774, 1131, 723, 2799, 865, 1454, 602, 2021, 1131, 581, 9991, 538, 519, 26768, 7256, 3034, 6097, 547, 23711, 267, 519, 7128, 723, 1767, 789, 786, 3136, 547, 1683, 4027, 585, 2021, 602, 1616, 547, 4283, 519, 11454, 267, 543, 1004, 602, 28586, 741, 3375, 786, 723, 547, 979, 519, 10966, 7040, 2663, 538, 519, 3923, 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, 26611, 23591, 24800, 270, 7090, 454, 258, 28605, 8193, 281, 29031, 293, 268, 279, 20609, 7042, 320, 815, 476, 736, 454, 321, 815, 476, 736, 692, 604, 630, 320, 568, 536, 2187, 825, 1820, 1412, 320, 267, 536, 476, 20069, 25203, 372, 12571, 490, 7511, 21550, 485, 13644, 484, 7055, 12828, 912, 825, 1820, 1412, 320, 267, 536, 476, 20069, 21251, 12571, 490, 7511, 21550, 485, 13644, 484, 28847, 604, 630, 320, 568, 711, 536, 2187, 825, 1820, 1412, 320, 267, 536, 476, 20069, 21251, 12571, 490, 7511, 21550, 485, 13644, 484, 7055, 12828, 912, 825, 1820, 1412, 320, 267, 536, 476, 20069, 25203, 372, 12571, 490, 7511, 21550, 485, 13644, 484, 28847, 321, 815, 476, 1789, 454, 604, 630, 320, 568, 536, 2187, 825, 1820, 1412, 320, 267, 536, 476, 20069, 25203, 372, 12571, 490, 7511, 21550, 485, 13644, 484, 7055, 12828, 912, 825, 1820, 1412, 320, 267, 536, 476, 20069, 21251, 12571, 490, 7511, 21550, 485, 13644, 484, 28847, 604, 630, 320, 568, 711, 536, 2187, 825, 1820, 1412, 320, 267, 536, 476, 20069, 21251, 12571, 490, 7511, 21550, 485, 13644, 484, 7055, 12828, 912, 825, 1820, 1412, 320, 267, 536, 476, 20069, 25203, 372, 12571, 490, 7511, 21550, 485, 13644, 484, 7055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3460, 998, 519, 4241, 1158, 540, 2780, 5752, 256, 4653, 267, 649, 786, 2263, 1945, 1572, 834, 553, 12273, 1893, 2437, 4481, 513, 1826, 540, 10198, 1893, 1634, 607, 834, 293, 2180, 13909, 1701, 5213, 1405, 5855, 952, 891, 1913, 3280, 7294, 282, 649, 3513, 2736, 873, 1524, 1927, 543, 3605, 741, 9059, 780, 5331, 596, 2811, 1565, 513, 1007, 5728, 1893, 267, 899, 519, 3009, 9275, 676, 2706, 838, 625, 538, 9413, 269, 4270, 267, 538, 513, 1259, 267, 602, 781, 1018, 649, 2811, 3257, 609, 10198, 1893, 256, 23675, 666, 1152, 1174, 835, 1893, 5065, 569, 910, 9352, 267, 513, 3126, 540, 476, 272, 338, 543, 476, 271, 338, 269, 1809, 14379, 1210, 1175, 1079, 6698, 1131, 581, 9688, 532, 585, 721, 3425, 267, 865, 649, 2813, 10198, 1893, 607, 513, 30246, 269, 898, 3096, 2241, 31120, 267, 1572, 834, 19282, 655, 9582, 2437, 3079, 540, 1279, 12673, 540, 476, 272, 338, 543, 476, 271, 338, 269, 1452, 544, 26937, 9582, 2099, 1114, 3527, 610, 1239, 4859, 2127, 3330, 707, 2780, 780, 3086, 267, 1577, 781, 2743, 1280, 628, 13909, 269, 6056, 540, 621, 607, 513, 2027, 13172, 1369, 519, 1920, 540, 10198, 4654, 269, 1280, 628, 13909, 814, 922, 1378, 2189, 1305, 540, 544, 26937, 9582, 2966, 2523, 585, 519, 1280, 628, 5752, 1893, 269, 3807, 607, 2296, 10529, 1265, 621, 4443, 547, 1451, 3703, 2296, 982, 4457, 267, 6616, 1280, 628, 2306, 1620, 1280, 628, 13909, 1454, 12863, 269, 1656, 1946, 798, 649, 1416, 827, 1280, 628, 13909, 286, 5221, 621, 13071, 721, 2170, 5702, 609, 519, 2780, 781, 2634, 1107, 519, 3844, 4393, 1770, 267, 610, 17765, 1107, 3850, 721, 547, 1711, 11212, 3608, 3292, 2439, 4131, 803, 2671, 513, 2656, 1383, 547, 8141, 707, 7279, 281, 4952, 596, 1616, 547, 1039, 1079, 2338, 267, 2161, 476, 276, 1341, 476, 274, 269, 1677, 798, 713, 538, 1280, 628, 13909, 267, 596, 1522, 2328, 1945, 899, 912, 3499, 341, 321, 6339, 454, 276, 3097, 274, 3097, 266, 3097, 269, 476, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 13909, 1893, 454, 268, 6423, 519, 16166, 3296, 2630, 585, 1344, 3823, 22522, 946, 540, 519, 2474, 10198, 543, 7011, 2401, 563, 2304, 10198, 1893, 568, 513, 1970, 7400, 5752, 1893, 585, 5904, 267, 31110, 25600, 267, 29668, 619, 267, 543, 824, 1982, 30154, 3457, 269, 898, 28352, 513, 12572, 6041, 540, 519, 3684, 9479, 543, 824, 21635, 2877, 547, 1982, 513, 2016, 17765, 6189, 269, 901, 6041, 568, 2356, 3989, 676, 519, 8800, 10672, 267, 543, 568, 1759, 593, 544, 26937, 9582, 602, 21843, 4393, 3268, 630, 13318, 15297, 1070, 16267, 27861, 267, 3965, 6753, 267, 543, 824, 1893, 2934, 269, 1323, 10198, 1893, 568, 3976, 1808, 547, 513, 1978, 2168, 630, 528, 5691, 264, 2780, 6189, 269, 901, 568, 538, 4334, 547, 1034, 1164, 7400, 5752, 4654, 267, 799, 267, 23679, 267, 616, 15409, 563, 288, 10626, 1982, 1572, 606, 7011, 2401, 568, 1031, 547, 14377, 10198, 1893, 6898, 883, 519, 3077, 2780, 781, 3684, 3009, 269, 634, 7011, 2401, 15824, 513, 811, 610, 1447, 568, 25806, 8144, 630, 320, 835, 3562, 27984, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 2180, 13909, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 13909, 5678, 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 ]
[ 0, 8702, 547, 15822, 8866, 14822, 2336, 19688, 476, 274, 268, 280, 476, 1001, 278, 568, 2817, 32001, 3106, 3018, 269, 9894, 596, 917, 602, 267, 2687, 547, 519, 15822, 8866, 2622, 4204, 476, 1001, 276, 7797, 267, 6885, 2887, 6589, 585, 5111, 476, 279, 7972, 543, 476, 274, 267, 4968, 7063, 1851, 1453, 6502, 476, 276, 543, 896, 1142, 1032, 888, 4263, 15822, 8866, 14822, 649, 1616, 547, 7618, 782, 3237, 543, 15637, 547, 2638, 741, 9486, 585, 3106, 563, 2080, 616, 930, 4388, 547, 2671, 912, 268, 11408, 27459, 1047, 1453, 543, 1832, 741, 1404, 1858, 2476, 689, 9486, 454, 268, 5901, 9486, 6806, 543, 19526, 950, 1453, 616, 1459, 454, 268, 1403, 9486, 616, 1930, 267, 1118, 2386, 1453, 666, 1406, 3914, 873, 454, 268, 1280, 513, 5595, 3620, 2426, 6885, 593, 606, 5580, 6989, 267, 1930, 519, 1283, 521, 1662, 585, 14910, 543, 1832, 519, 5377, 521, 1662, 6806, 454, 268, 21115, 839, 1832, 12961, 856, 267, 855, 789, 798, 711, 1832, 1453, 538, 454, 268, 5901, 11647, 2476, 689, 9486, 607, 789, 1223, 15673, 513, 8049, 1126, 547, 18214, 543, 5732, 2887, 454, 268, 1403, 972, 616, 1762, 1453, 538, 519, 1753, 267, 3888, 30680, 22190, 28508, 3908, 19945, 2287, 8800, 267, 799, 1152, 2636, 513, 6885, 547, 1930, 513, 1906, 6279, 454, 306, 12522, 8866, 14822, 1568, 547, 2061, 16662, 30102, 6689, 5945, 267, 519, 1297, 835, 2014, 540, 2669, 585, 1453, 538, 519, 2136, 2276, 269, 15822, 8866, 14822, 568, 513, 4759, 540, 15822, 8866, 2622, 4204, 267, 513, 2518, 3060, 540, 3906, 6131, 547, 7303, 16662, 30102, 5945, 269, 15822, 8866, 14822, 729, 8547, 538, 476, 1960, 276, 543, 568, 23217, 3366, 676, 14822, 4132, 4886, 29663, 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 ]
[ 0, 2745, 2891, 28808, 516, 572, 15255, 1395, 539, 553, 6446, 512, 1263, 320, 281, 5602, 258, 10817, 731, 32115, 3288, 18085, 21059, 632, 1395, 539, 553, 6446, 512, 1263, 320, 1714, 721, 340, 9222, 454, 3000, 20364, 318, 1015, 284, 703, 9272, 2891, 3000, 539, 553, 632, 476, 1015, 281, 27328, 3000, 20364, 318, 276, 284, 703, 630, 6358, 2891, 3000, 539, 553, 632, 476, 276, 281, 27328, 3000, 20364, 318, 273, 284, 703, 630, 6358, 2891, 3000, 539, 553, 632, 476, 273, 281, 27328, 3000, 20364, 318, 272, 284, 476, 703, 9272, 2891, 3000, 539, 553, 632, 476, 272, 281, 27328, 3000, 20364, 318, 2004, 322, 284, 476, 10581, 630, 6358, 2891, 3000, 539, 553, 632, 1547, 2004, 281, 27328, 3000, 20364, 318, 736, 322, 284, 10581, 9272, 2891, 3000, 539, 553, 632, 1547, 736, 281, 27328, 3000, 20364, 318, 1015, 322, 284, 672, 10581, 630, 6358, 2891, 3000, 539, 553, 632, 1547, 1015, 281, 27328, 258, 6944, 32115, 15255, 1395, 539, 553, 6446, 562, 657, 1019, 334, 1714, 721, 340, 9222, 454, 300, 1015, 284, 1395, 20364, 318, 1015, 265, 1015, 454, 300, 276, 284, 1395, 20364, 318, 276, 265, 276, 454, 300, 273, 284, 1395, 20364, 318, 273, 265, 273, 454, 300, 272, 284, 1395, 20364, 318, 272, 454, 300, 2004, 322, 284, 630, 3000, 20364, 318, 2004, 322, 29688, 2004, 994, 300, 736, 322, 284, 630, 3000, 20364, 318, 736, 322, 29688, 736, 994, 300, 1015, 322, 284, 630, 3000, 20364, 318, 1015, 322, 29688, 1015, 2020, 13707, 284, 631, 1015, 266, 300, 276, 266, 300, 273, 266, 300, 272, 266, 300, 2004, 322, 266, 300, 736, 322, 266, 300, 1015, 322, 692, 2745, 2891, 308, 23264, 512, 1329, 324, 679, 2698, 2580, 1193, 263, 13707, 1070, 834, 6647, 657, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2467, 616, 2947, 1292, 2081, 547, 4308, 609, 4008, 538, 717, 6130, 545, 912, 268, 2422, 513, 8675, 910, 979, 547, 1795, 331, 1515, 2593, 563, 268, 6258, 607, 596, 979, 2059, 269, 5213, 1405, 2247, 1818, 9073, 267, 543, 7747, 267, 1169, 942, 596, 1294, 513, 2262, 538, 513, 3510, 1141, 596, 666, 2995, 922, 4008, 563, 268, 6258, 930, 3652, 547, 948, 596, 7058, 269, 1452, 616, 4988, 1934, 563, 268, 5192, 513, 1745, 585, 621, 269, 4634, 1510, 2965, 6616, 519, 3652, 267, 596, 786, 4166, 1205, 513, 1745, 585, 621, 269, 901, 568, 1018, 1453, 798, 563, 268, 2871, 612, 24940, 269, 901, 568, 606, 8966, 4183, 540, 717, 6130, 545, 267, 9721, 543, 2494, 343, 602, 513, 2362, 8167, 616, 24940, 982, 538, 824, 631, 22077, 4654, 971, 607, 3943, 610, 5053, 269, 667, 454, 263, 276, 264, 3487, 540, 519, 2601, 568, 602, 6120, 518, 17205, 3592, 782, 2968, 24940, 950, 519, 6120, 518, 729, 4503, 269, 634, 2016, 2601, 568, 602, 6120, 518, 814, 2141, 1044, 519, 1482, 607, 519, 24940, 538, 3368, 519, 2665, 267, 865, 621, 729, 2067, 547, 979, 547, 519, 1482, 538, 782, 2665, 269, 1809, 540, 1576, 713, 7954, 666, 1152, 581, 4294, 547, 891, 1614, 4654, 267, 607, 789, 616, 519, 1152, 3283, 602, 723, 1312, 4503, 519, 6120, 518, 543, 17477, 513, 2013, 1062, 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 ]
[ 0, 3848, 476, 1691, 281, 15850, 545, 20506, 8376, 630, 3201, 291, 2567, 14171, 5516, 540, 3776, 29055, 20506, 692, 15916, 267, 1762, 3988, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 5863, 3330, 938, 4703, 1572, 519, 6797, 543, 875, 4568, 666, 1860, 922, 1072, 269, 5213, 1405, 5855, 952, 596, 1265, 621, 2182, 547, 24969, 282, 1175, 3314, 9338, 291, 6763, 585, 15850, 545, 20506, 8376, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5978, 10610, 781, 9214, 323, 1043, 5489, 2135, 10724, 910, 634, 20506, 692, 5331, 2348, 513, 15705, 2427, 330, 1157, 2713, 538, 707, 1560, 4171, 1152, 2816, 568, 547, 1832, 596, 2922, 689, 5739, 6878, 899, 26130, 2011, 267, 18660, 1216, 267, 543, 586, 13806, 17900, 269, 2334, 781, 1018, 519, 6797, 1281, 256, 901, 1804, 1418, 1568, 1554, 543, 3781, 267, 19140, 4328, 707, 1560, 543, 4543, 1205, 7759, 540, 3653, 2472, 269, 2060, 1169, 7362, 596, 1491, 543, 1142, 11116, 596, 3548, 267, 707, 6797, 568, 2324, 24091, 3297, 519, 10207, 547, 2327, 3388, 8255, 12347, 780, 3719, 7227, 267, 972, 781, 811, 256, 2659, 6797, 849, 2337, 4558, 1648, 267, 24515, 1055, 5563, 267, 543, 20674, 609, 1973, 32378, 950, 596, 1205, 13676, 269, 1924, 267, 1577, 781, 2285, 1614, 1750, 619, 585, 519, 6797, 1765, 327, 3233, 599, 256, 1284, 7948, 1405, 7639, 1510, 621, 780, 22879, 3683, 2903, 532, 519, 20506, 8111, 12516, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8253, 1082, 1004, 2911, 827, 519, 6797, 269, 898, 3884, 1406, 607, 546, 9579, 1782, 607, 519, 2634, 543, 519, 2295, 855, 1063, 519, 6797, 543, 519, 14401, 267, 476, 4200, 260, 540, 519, 13802, 538, 707, 1560, 616, 9108, 6569, 269, 9453, 621, 267, 519, 17694, 1107, 3361, 676, 2011, 267, 1216, 267, 1426, 267, 543, 519, 3653, 676, 1790, 6055, 1107, 538, 707, 1560, 1131, 8267, 332, 707, 1062, 543, 1267, 538, 2669, 563, 1103, 519, 7330, 4805, 267, 972, 616, 476, 1704, 267, 1822, 2665, 7996, 585, 513, 6797, 13003, 563, 310, 3480, 10791, 22367, 7719, 11088, 2336, 763, 5375, 10791, 5932, 513, 16221, 540, 2042, 543, 9761, 6797, 2068, 568, 2943, 1776, 15435, 602, 568, 28824, 543, 31181, 2336, 305, 5699, 476, 736, 260, 540, 772, 2529, 269, 4961, 723, 713, 1966, 269, 3509, 811, 1522, 711, 1256, 8275, 621, 1317, 8259, 6553, 568, 1459, 630, 6518, 2164, 538, 1279, 3856, 3441, 547, 519, 2034, 4102, 1418, 538, 707, 1560, 264, 596, 1522, 711, 8858, 1022, 2589, 540, 9761, 6797, 2068, 2336, 29128, 4890, 3441, 4386, 267, 596, 1522, 723, 1100, 23319, 543, 602, 1797, 707, 6797, 1223, 581, 9048, 1706, 2406, 10032, 1354, 596, 917, 596, 723, 513, 1966, 563, 300, 843, 9636, 1472, 519, 17737, 543, 3170, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 4022, 545, 20506, 8376, 630, 3201, 291, 17983, 607, 851, 540, 834, 25503, 1315, 22031, 26331, 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 ]
[ 0, 9223, 281, 1280, 799, 476, 2735, 279, 19375, 17880, 565, 3149, 9859, 4670, 729, 9253, 534, 773, 26186, 603, 9930, 3990, 585, 513, 7454, 2920, 816, 30546, 888, 12585, 281, 20796, 32578, 717, 7644, 299, 454, 2704, 328, 1162, 281, 11554, 21756, 267, 11554, 21756, 630, 28291, 1070, 11554, 21756, 630, 338, 895, 10177, 1188, 1070, 570, 612, 17755, 650, 267, 20796, 32578, 717, 7644, 299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1837, 2488, 513, 2647, 8573, 4474, 7650, 540, 3388, 596, 786, 991, 547, 917, 547, 5965, 596, 585, 3355, 4116, 2866, 543, 707, 2038, 4876, 538, 519, 3119, 4928, 5861, 1478, 532, 4052, 2152, 1519, 4058, 267, 4879, 543, 4928, 13539, 267, 543, 2219, 4538, 3584, 971, 607, 10452, 593, 707, 1378, 3450, 2259, 543, 3384, 2565, 3206, 1983, 267, 713, 1837, 3947, 596, 513, 31544, 543, 16367, 1620, 540, 3450, 538, 3119, 3506, 20136, 3791, 7160, 814, 1044, 2649, 1947, 15428, 547, 1331, 1007, 11271, 593, 281, 9608, 267, 1514, 267, 1072, 543, 2804, 2069, 630, 4916, 4047, 264, 6380, 8948, 8973, 543, 707, 9021, 9752, 661, 3201, 6267, 29007, 2359, 543, 8716, 7180, 585, 1565, 29621, 543, 2027, 3872, 2115, 267, 1519, 519, 476, 1001, 276, 590, 21715, 8943, 540, 6657, 11879, 5380, 593, 4909, 3703, 2418, 25021, 593, 547, 9457, 781, 1377, 1353, 1607, 568, 1898, 2542, 585, 782, 1053, 593, 3119, 3355, 4116, 2069, 6030, 1519, 6280, 2861, 630, 22333, 4753, 267, 645, 10955, 267, 22601, 609, 1627, 4811, 1070, 543, 3506, 2861, 630, 18662, 6034, 267, 14662, 3951, 307, 267, 17546, 3689, 264, 11507, 883, 3450, 563, 10468, 340, 15241, 523, 13750, 6304, 538, 519, 14499, 522, 1862, 476, 1691, 267, 4200, 24843, 454, 300, 778, 8663, 651, 1080, 13231, 773, 1990, 584, 7638, 342, 754, 2426, 642, 1862, 476, 4097, 267, 4200, 24843, 454, 294, 269, 670, 269, 28927, 3768, 589, 269, 4425, 531, 269, 631, 7238, 6921, 747, 651, 527, 1862, 476, 1321, 267, 4200, 24843, 454, 313, 584, 5772, 527, 7564, 1206, 2889, 1076, 3901, 1731, 538, 7917, 1862, 476, 1321, 267, 4200, 24843, 454, 11328, 330, 11857, 331, 956, 5004, 1990, 342, 27528, 1862, 476, 1691, 267, 4200, 24843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15919, 596, 991, 547, 917, 519, 1297, 540, 2053, 799, 513, 1808, 2783, 4523, 269, 1280, 454, 9987, 267, 596, 1616, 547, 917, 519, 1297, 540, 22613, 540, 1079, 3001, 25939, 610, 519, 1297, 540, 454, 12712, 1501, 22250, 610, 1297, 540, 22250, 538, 799, 26914, 291, 5365, 568, 1657, 26914, 291, 1292, 1467, 610, 454, 15893, 540, 7643, 610, 8726, 269, 769, 891, 2665, 267, 596, 666, 946, 513, 4831, 563, 290, 3300, 2115, 2185, 6724, 799, 616, 899, 2630, 912, 30812, 819, 267, 5153, 267, 1763, 564, 267, 3399, 454, 18744, 519, 1101, 835, 568, 2838, 543, 1964, 540, 873, 616, 18593, 563, 1103, 519, 4831, 267, 596, 991, 547, 1305, 513, 1978, 4082, 779, 799, 1152, 952, 513, 1978, 2783, 568, 3020, 267, 513, 454, 322, 3300, 8591, 621, 547, 922, 1871, 269, 1403, 519, 1763, 564, 4082, 4991, 3020, 267, 621, 786, 19268, 519, 4831, 547, 519, 3399, 454, 7407, 269, 1280, 1383, 912, 7246, 272, 9061, 1575, 10790, 273, 267, 476, 273, 267, 28914, 284, 2537, 267, 476, 272, 454, 1607, 1797, 1169, 942, 10790, 272, 22613, 909, 10790, 273, 267, 4831, 786, 581, 3773, 676, 476, 273, 269, 22388, 786, 798, 713, 454, 2863, 559, 476, 2537, 281, 876, 522, 685, 22018, 543, 1310, 602, 4831, 786, 19268, 547, 476, 272, 1586, 563, 314, 290, 3300, 316, 22388, 16448, 267, 5153, 267, 1763, 564, 267, 3399, 454, 9359, 568, 513, 1297, 543, 1964, 616, 7215, 454, 9377, 5435, 1900, 281, 476, 272, 454, 29239, 3399, 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 ]
[ 0, 9223, 281, 1215, 547, 15441, 538, 331, 904, 547, 8405, 540, 20410, 2544, 548, 563, 271, 269, 4635, 2706, 6921, 826, 267, 15441, 1142, 538, 26792, 538, 519, 2230, 596, 723, 6825, 585, 519, 8405, 540, 519, 20410, 2544, 548, 269, 27016, 547, 3819, 563, 272, 269, 4635, 1350, 7867, 15441, 267, 15441, 1142, 538, 26792, 538, 519, 2230, 596, 723, 6825, 585, 519, 8405, 540, 519, 20410, 2544, 548, 269, 27016, 547, 3819, 563, 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 ]
[ 0, 594, 6415, 606, 28048, 6177, 342, 520, 7815, 543, 21689, 540, 21305, 19596, 2264, 269, 1703, 781, 1945, 827, 519, 844, 25184, 1465, 540, 891, 2025, 10051, 3688, 602, 2731, 22587, 547, 803, 1107, 6148, 621, 781, 741, 19911, 531, 11551, 19259, 610, 519, 1259, 789, 7618, 803, 540, 12863, 2053, 269, 1924, 950, 594, 16686, 2390, 513, 4686, 1305, 540, 20511, 2783, 267, 3908, 7160, 19596, 544, 13903, 693, 513, 25880, 9042, 2063, 4832, 267, 594, 6785, 594, 1185, 547, 723, 873, 780, 296, 23362, 19942, 936, 1250, 6666, 543, 3323, 4058, 875, 594, 1131, 4159, 873, 538, 1250, 1753, 269, 1306, 594, 22755, 2476, 689, 519, 9042, 267, 594, 7948, 1405, 948, 855, 1745, 513, 2370, 26497, 1169, 942, 594, 6743, 693, 1250, 9241, 9715, 16782, 9361, 593, 519, 18213, 10160, 1985, 547, 803, 780, 3719, 607, 4166, 607, 594, 3893, 1753, 543, 3576, 513, 6251, 1413, 693, 519, 544, 13903, 267, 1250, 2295, 521, 1678, 269, 1358, 941, 4988, 538, 1989, 830, 543, 7452, 267, 543, 1100, 2179, 540, 1085, 745, 25290, 8604, 547, 1118, 873, 1022, 15777, 269, 2334, 781, 950, 594, 15422, 1250, 3972, 344, 19596, 7738, 3070, 1107, 513, 7848, 540, 11256, 14614, 267, 1216, 267, 543, 513, 3787, 540, 23969, 31294, 269, 594, 6404, 909, 513, 16801, 543, 4682, 547, 960, 593, 519, 544, 13903, 267, 5462, 547, 1205, 873, 3168, 607, 1434, 607, 1007, 780, 2414, 1250, 9983, 267, 1310, 1175, 513, 1906, 3764, 540, 1085, 745, 25290, 267, 519, 13897, 543, 1989, 830, 3459, 547, 28201, 2476, 267, 13031, 519, 4190, 4544, 543, 3043, 3270, 18284, 269, 594, 729, 3235, 18878, 256, 1809, 607, 594, 4797, 547, 2973, 519, 544, 13903, 267, 594, 8068, 1945, 9490, 1107, 972, 8604, 547, 581, 606, 8966, 1297, 540, 873, 269, 769, 1249, 267, 676, 519, 942, 594, 8737, 7738, 782, 540, 519, 544, 13903, 267, 594, 7691, 602, 594, 1185, 8694, 909, 609, 513, 627, 25891, 476, 14444, 540, 873, 269, 1215, 593, 3618, 1705, 602, 4755, 31841, 2005, 7140, 856, 602, 519, 22673, 1185, 18417, 3769, 1896, 10833, 540, 1200, 1378, 4015, 2059, 609, 9553, 269, 2701, 5433, 15265, 827, 519, 12161, 543, 6035, 547, 1491, 930, 540, 519, 3063, 544, 13903, 1055, 1250, 3946, 269, 1809, 594, 7948, 1405, 7703, 519, 2219, 540, 851, 532, 609, 1256, 513, 2582, 835, 540, 873, 1107, 594, 1185, 6738, 7923, 547, 1142, 543, 1169, 835, 780, 3383, 1631, 594, 1265, 8885, 519, 10583, 8227, 540, 2484, 811, 19596, 544, 13903, 982, 4896, 1223, 2479, 7654, 991, 269, 1656, 1247, 594, 949, 2760, 946, 782, 540, 873, 267, 594, 666, 1405, 3142, 8885, 547, 1205, 7759, 540, 1022, 540, 873, 2901, 269, 2991, 782, 267, 789, 1142, 3180, 513, 2027, 1747, 538, 1250, 2295, 630, 663, 593, 1250, 21684, 1040, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 24685, 519, 12732, 540, 476, 7367, 4374, 267, 799, 568, 5111, 835, 1032, 267, 875, 1082, 2053, 1281, 7812, 2973, 5128, 952, 646, 3217, 513, 8602, 7466, 513, 3018, 543, 513, 17643, 2899, 513, 3018, 888, 28061, 3217, 513, 8602, 7466, 513, 3018, 267, 865, 538, 476, 7367, 4374, 267, 646, 3217, 476, 273, 31725, 270, 15553, 1535, 476, 7367, 4374, 815, 476, 10441, 31725, 563, 3891, 849, 3217, 513, 17643, 2899, 513, 3018, 267, 865, 538, 476, 7367, 4374, 267, 646, 3217, 476, 272, 17643, 270, 15553, 1535, 476, 7367, 4374, 815, 476, 7367, 29636, 563, 11997, 267, 7812, 18274, 5128, 513, 2698, 540, 476, 10441, 31725, 1341, 476, 7367, 29636, 815, 476, 14444, 2053, 538, 835, 1032, 563, 2971, 476, 14444, 454, 763, 2626, 568, 281, 476, 14444, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 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 ]
[ 0, 763, 2244, 602, 568, 1634, 607, 932, 987, 600, 11860, 550, 2221, 729, 3964, 607, 851, 540, 15521, 1948, 273, 267, 519, 21025, 2465, 27619, 15521, 540, 476, 9692, 271, 269, 2311, 602, 942, 267, 519, 2244, 729, 849, 20948, 676, 519, 8422, 674, 2231, 28583, 2329, 281, 519, 13095, 11867, 267, 8000, 1177, 520, 23449, 543, 744, 329, 756, 933, 269, 1452, 7087, 8315, 267, 1634, 607, 519, 1323, 880, 2088, 629, 1122, 543, 700, 10044, 1901, 1168, 267, 8815, 547, 519, 8994, 4687, 540, 519, 2244, 267, 609, 13800, 543, 9021, 547, 519, 1604, 269, 4653, 267, 932, 987, 600, 11860, 550, 30256, 519, 700, 10044, 1901, 1168, 693, 26609, 13780, 799, 568, 851, 540, 519, 21025, 2465, 27619, 15521, 267, 607, 1134, 607, 519, 796, 1027, 539, 8513, 540, 519, 645, 651, 329, 9774, 784, 9546, 335, 1961, 6816, 3689, 13780, 269, 932, 987, 600, 11860, 550, 5170, 547, 581, 1753, 547, 3309, 3689, 8315, 24447, 543, 631, 18863, 529, 24447, 269, 1306, 18689, 25808, 540, 519, 14097, 267, 649, 5431, 782, 24447, 723, 9021, 1519, 7104, 9021, 547, 519, 2244, 543, 1216, 563, 2171, 16436, 596, 547, 2992, 2390, 875, 596, 616, 30176, 14097, 9021, 267, 543, 547, 1451, 811, 827, 519, 18266, 543, 26532, 16624, 8189, 781, 595, 8712, 547, 11059, 563, 2252, 649, 666, 2087, 593, 713, 3948, 267, 5225, 3346, 721, 693, 18078, 17106, 11333, 3820, 563, 14188, 596, 547, 519, 11310, 5901, 619, 540, 519, 1412, 290, 11857, 9315, 9730, 262, 585, 2870, 543, 7175, 721, 547, 2671, 519, 589, 10003, 547, 4197, 7087, 9177, 3561, 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, 1012, 6783, 568, 606, 4994, 539, 8708, 540, 24267, 2609, 5897, 5814, 11885, 607, 5286, 1477, 2745, 18828, 14857, 11437, 1029, 10142, 258, 22056, 14249, 1477, 1551, 272, 815, 5286, 15126, 8443, 1015, 267, 476, 736, 267, 476, 1789, 29573, 1551, 273, 815, 5286, 15126, 8443, 1789, 267, 476, 2412, 267, 476, 2004, 29573, 2745, 19906, 272, 1341, 2855, 273, 3418, 2745, 19906, 272, 3436, 476, 1789, 10142, 258, 4958, 4471, 557, 2609, 540, 606, 5044, 1477, 2745, 19906, 272, 314, 272, 29573, 2745, 19906, 272, 314, 271, 281, 273, 29573, 2745, 19906, 272, 27769, 10946, 3890, 3418, 2745, 19906, 272, 32557, 3890, 3418, 2745, 19906, 272, 14714, 323, 3890, 3418, 2745, 19906, 272, 269, 12534, 3890, 3418, 2745, 19906, 272, 17482, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24426, 28464, 2094, 3504, 2053, 568, 1767, 547, 723, 11124, 689, 26221, 543, 3668, 540, 1216, 269, 1280, 713, 2601, 267, 519, 11317, 941, 7142, 267, 609, 519, 1797, 693, 741, 12871, 693, 519, 942, 267, 547, 1265, 513, 3070, 547, 519, 1966, 540, 3668, 540, 1216, 538, 1931, 547, 2743, 741, 12555, 543, 1216, 3761, 2115, 563, 1103, 10120, 2053, 267, 713, 1966, 729, 9619, 676, 519, 9836, 8756, 532, 543, 11895, 4859, 540, 24467, 269, 769, 1931, 547, 2057, 1216, 2530, 1282, 3560, 267, 10036, 12992, 543, 3710, 11895, 546, 9662, 941, 1031, 269, 4746, 585, 12555, 5301, 5631, 2919, 547, 513, 1804, 6708, 519, 1949, 540, 20422, 19401, 267, 519, 865, 10777, 834, 10767, 4900, 2668, 769, 1346, 540, 799, 519, 1216, 1705, 711, 3914, 519, 2627, 267, 789, 1031, 519, 620, 752, 10620, 267, 799, 729, 5828, 676, 606, 3662, 269, 769, 713, 1259, 519, 4357, 11396, 941, 11125, 730, 563, 2690, 519, 1657, 3483, 538, 922, 1858, 7754, 698, 807, 267, 1282, 519, 10469, 564, 1014, 1974, 267, 729, 3710, 6864, 9254, 551, 799, 13859, 1216, 547, 519, 2749, 540, 5482, 698, 755, 320, 1210, 2964, 1227, 5140, 11895, 543, 1657, 2666, 3889, 269, 3487, 540, 891, 25481, 941, 849, 519, 12866, 1488, 2583, 799, 616, 4867, 1369, 11889, 6302, 3474, 531, 574, 14269, 267, 3330, 519, 4666, 7997, 267, 538, 519, 1858, 540, 5482, 698, 755, 320, 11233, 269, 901, 2679, 849, 5795, 519, 2012, 547, 519, 1858, 9497, 303, 25366, 21919, 4100, 257, 1858, 1916, 4415, 1344, 689, 8262, 30259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14240, 540, 4406, 518, 1014, 2297, 454, 514, 930, 28944, 454, 281, 606, 1931, 540, 546, 545, 582, 344, 1194, 517, 748, 2371, 9967, 540, 519, 1079, 3885, 4406, 518, 1014, 19687, 543, 667, 2354, 659, 19687, 6353, 676, 513, 13708, 641, 13926, 748, 1351, 3326, 320, 543, 606, 17071, 9065, 776, 454, 27094, 1913, 286, 1411, 1590, 2443, 972, 616, 936, 476, 1220, 267, 1822, 1913, 538, 938, 1863, 2228, 8675, 267, 855, 596, 616, 3168, 585, 835, 602, 779, 1152, 538, 519, 8585, 26713, 268, 31812, 1133, 30457, 9218, 563, 9359, 707, 1863, 4693, 2221, 543, 1205, 19957, 1569, 547, 3013, 781, 4102, 8675, 267, 609, 912, 268, 2859, 982, 476, 7742, 267, 1822, 1913, 602, 5749, 1405, 538, 938, 1863, 8675, 454, 268, 30771, 539, 8847, 267, 552, 1399, 332, 3098, 267, 543, 6165, 4967, 454, 268, 11628, 3406, 2934, 454, 268, 1520, 1863, 2336, 27670, 543, 661, 22029, 540, 1130, 518, 1014, 2297, 454, 6124, 5824, 267, 689, 4406, 518, 10005, 1341, 910, 2297, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 4406, 518, 1014, 2297, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17205, 519, 3017, 1063, 11191, 543, 14242, 454, 529, 602, 11191, 454, 529, 1945, 799, 1138, 12885, 513, 1062, 610, 1604, 538, 1931, 547, 3589, 4890, 7180, 5257, 1247, 14242, 454, 529, 513, 11319, 610, 979, 8172, 4724, 2962, 563, 8448, 10313, 11143, 281, 1548, 781, 519, 3017, 888, 306, 15036, 799, 1138, 12885, 513, 1062, 610, 1604, 538, 1931, 547, 3589, 4890, 7180, 269, 5257, 454, 268, 901, 3635, 568, 513, 11191, 540, 4890, 6370, 2175, 563, 763, 1184, 540, 1138, 6819, 563, 268, 634, 1034, 6325, 11191, 25221, 602, 519, 19996, 786, 2490, 5087, 563, 10112, 11167, 606, 5920, 799, 568, 905, 11220, 267, 610, 711, 3020, 563, 4433, 665, 1356, 264, 634, 957, 540, 9991, 936, 538, 1931, 547, 581, 13752, 513, 28067, 267, 950, 513, 28067, 18387, 1405, 1044, 8149, 563, 268, 6736, 3573, 11191, 538, 519, 1374, 5123, 267, 519, 8484, 8959, 547, 13789, 607, 4397, 563, 265, 2780, 11191, 454, 288, 11319, 610, 979, 8172, 4724, 2962, 563, 2304, 2534, 4929, 10761, 610, 12257, 563, 6357, 5735, 264, 7102, 2962, 610, 2783, 602, 5932, 513, 3210, 282, 10444, 3403, 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 ]
[ 0, 8512, 589, 281, 17291, 2657, 11485, 20409, 12542, 7433, 454, 268, 26930, 594, 281, 8178, 20126, 267, 2667, 1115, 1299, 27519, 585, 2657, 4065, 454, 268, 522, 623, 11286, 589, 281, 5623, 519, 1382, 1644, 547, 835, 5697, 1072, 16151, 2623, 610, 1072, 1445, 1858, 547, 3313, 11841, 270, 2181, 28700, 282, 3466, 936, 942, 282, 13103, 676, 2085, 267, 4008, 267, 14940, 267, 824, 15295, 4632, 282, 543, 1981, 270, 23181, 633, 2188, 269, 3503, 513, 5758, 630, 10946, 3065, 476, 274, 5595, 17898, 3166, 3817, 264, 10503, 519, 4560, 543, 3178, 540, 519, 1966, 543, 7114, 19753, 19397, 267, 17923, 267, 543, 7175, 2188, 1644, 547, 519, 5697, 1072, 3390, 270, 935, 1288, 269, 31253, 570, 8008, 2975, 4959, 590, 4041, 7968, 623, 4041, 17955, 654, 305, 25492, 9474, 27345, 590, 4041, 7968, 8946, 3198, 16775, 454, 2108, 19185, 585, 513, 5381, 12143, 286, 5192, 16869, 6435, 693, 606, 29055, 5494, 870, 28461, 32575, 2657, 11485, 20409, 12542, 7433, 729, 1101, 11540, 593, 4989, 476, 2190, 267, 476, 1001, 280, 693, 476, 1556, 281, 2537, 993, 563, 15100, 1001, 280, 834, 299, 542, 10749, 2668, 2422, 540, 713, 3049, 568, 585, 2123, 1875, 10687, 14293, 946, 1152, 269, 1403, 596, 616, 711, 2542, 713, 2376, 538, 707, 3049, 5467, 267, 1287, 519, 3135, 568, 16944, 540, 10677, 26418, 618, 269, 7490, 3346, 803, 693, 1489, 287, 299, 542, 10749, 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 ]
[ 0, 7705, 281, 19850, 7585, 256, 594, 729, 3206, 827, 782, 519, 1114, 1004, 649, 2743, 1169, 1554, 267, 543, 621, 1500, 803, 8049, 827, 4763, 543, 18371, 1143, 269, 5620, 596, 4862, 827, 1346, 1354, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 256, 1809, 666, 596, 2491, 1018, 789, 1611, 2496, 8334, 281, 17610, 256, 1924, 267, 4763, 568, 950, 972, 616, 1082, 1114, 2010, 540, 1004, 1472, 721, 269, 1358, 1223, 581, 1114, 538, 6266, 540, 2081, 910, 899, 741, 2085, 267, 5198, 267, 4984, 267, 610, 1256, 1175, 741, 5172, 12348, 269, 1656, 18371, 1143, 568, 2147, 855, 6212, 811, 593, 4529, 910, 865, 621, 781, 827, 19825, 543, 18245, 519, 9821, 267, 5389, 267, 543, 4978, 540, 1004, 689, 1585, 2686, 10080, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 6145, 950, 649, 979, 547, 519, 6288, 543, 1294, 3214, 4730, 13558, 1247, 930, 4587, 11570, 616, 3257, 512, 2967, 16584, 7404, 269, 2334, 781, 3579, 2439, 8334, 281, 22549, 256, 3767, 1577, 781, 4952, 713, 9183, 269, 1411, 2811, 693, 1153, 267, 543, 707, 3659, 8861, 6770, 1200, 12899, 689, 1753, 269, 898, 24462, 2731, 1434, 267, 543, 1352, 6645, 596, 621, 781, 1572, 737, 574, 14024, 269, 2701, 3091, 596, 930, 267, 855, 596, 1810, 1405, 917, 952, 621, 781, 15502, 547, 2119, 621, 2094, 621, 5654, 543, 24462, 14542, 269, 1548, 1131, 596, 798, 2496, 7692, 281, 4270, 267, 594, 7058, 594, 1223, 2307, 1200, 827, 621, 1101, 269, 9320, 1945, 899, 267, 834, 20756, 8861, 267, 7064, 585, 5356, 256, 2052, 596, 2995, 803, 811, 827, 737, 574, 14024, 8119, 3973, 267, 952, 1352, 3081, 9811, 267, 6148, 594, 666, 2285, 621, 513, 6492, 780, 8334, 281, 4279, 3210, 256, 1635, 6998, 2055, 543, 1373, 1930, 547, 3843, 1007, 1919, 267, 596, 1397, 2463, 585, 824, 1004, 781, 4529, 543, 1451, 811, 827, 519, 1158, 1472, 596, 269, 5457, 267, 3006, 938, 3355, 6547, 949, 581, 1813, 547, 7279, 610, 10462, 267, 543, 602, 781, 9985, 3339, 269, 1717, 267, 1210, 1455, 2631, 543, 8156, 3025, 609, 11587, 4422, 513, 1279, 1259, 2509, 2679, 2178, 4296, 543, 5009, 10103, 1851, 3309, 2043, 780, 7692, 281, 20944, 621, 267, 7705, 256, 8729, 585, 7713, 621, 547, 803, 269, 594, 1745, 811, 6899, 1631, 6616, 1018, 4763, 543, 18371, 1143, 616, 782, 827, 269, 2913, 781, 1832, 1565, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17220, 4750, 540, 5369, 334, 268, 26046, 267, 476, 2641, 267, 476, 272, 268, 1839, 269, 476, 4375, 282, 2500, 2042, 281, 589, 2470, 585, 1102, 1774, 548, 20664, 269, 25367, 4666, 1866, 693, 1453, 538, 5238, 540, 11036, 7662, 281, 12854, 19080, 269, 5580, 737, 517, 558, 773, 5773, 540, 32258, 281, 1997, 894, 16895, 543, 2168, 1053, 269, 476, 6078, 264, 29817, 577, 516, 756, 2426, 4647, 6490, 525, 654, 25184, 31258, 933, 1047, 267, 4924, 745, 541, 2653, 2534, 261, 6113, 31309, 269, 595, 1789, 538, 28576, 335, 700, 595, 1789, 267, 661, 514, 327, 700, 595, 4097, 579, 269, 595, 1789, 538, 28576, 335, 700, 595, 1789, 267, 661, 514, 327, 700, 595, 4097, 579, 269, 14174, 304, 16966, 2225, 303, 21332, 3185, 7394, 9012, 15648, 851, 282, 476, 1001, 279, 3009, 5549, 269, 901, 3750, 1522, 10787, 3432, 11879, 547, 3346, 269, 7767, 1431, 2889, 329, 2131, 1084, 22146, 18637, 518, 1607, 9520, 261, 3464, 31309, 814, 519, 23462, 540, 11509, 7662, 4589, 676, 606, 2361, 2966, 8284, 10342, 538, 513, 13151, 3307, 7145, 3001, 538, 799, 606, 2027, 645, 8784, 27180, 547, 1118, 1063, 3226, 3102, 1126, 3135, 17015, 519, 10335, 540, 5993, 2298, 9945, 676, 606, 16169, 10483, 589, 271, 2257, 538, 513, 521, 1797, 6028, 538, 799, 606, 3803, 1957, 568, 547, 723, 1063, 7168, 1292, 5969, 632, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 16844, 1299, 5564, 12734, 1143, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 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 ]
[ 0, 692, 18411, 272, 29968, 628, 268, 5575, 4149, 2514, 263, 20877, 267, 3597, 2187, 476, 273, 3097, 476, 274, 672, 585, 1142, 6843, 562, 538, 8641, 281, 27030, 476, 275, 1363, 562, 6155, 2700, 815, 5442, 293, 2562, 14510, 13872, 476, 276, 1363, 562, 4877, 1861, 815, 715, 6579, 454, 476, 277, 3097, 476, 278, 672, 1711, 8900, 20313, 1627, 11434, 454, 476, 279, 3097, 476, 280, 672, 3597, 6155, 2700, 815, 476, 271, 454, 1015, 672, 1627, 269, 523, 28255, 20172, 264, 4449, 11434, 454, 1556, 3097, 1321, 672, 1247, 1627, 568, 711, 8900, 281, 13872, 1724, 672, 3097, 1691, 1363, 1699, 815, 1627, 19709, 28255, 4590, 1428, 672, 3097, 1626, 1363, 585, 1142, 6843, 562, 602, 568, 11105, 547, 1699, 912, 1704, 17264, 952, 562, 6155, 2700, 2652, 5442, 293, 2562, 14510, 912, 1240, 4449, 562, 6155, 2700, 815, 1699, 6155, 2700, 1341, 476, 272, 454, 866, 4449, 562, 4877, 1861, 815, 1699, 454, 736, 4449, 1627, 269, 523, 28255, 3799, 994, 18257, 692, 333, 3941, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 326, 17342, 314, 272, 267, 273, 25662, 273, 267, 274, 25662, 274, 267, 276, 25662, 275, 267, 276, 316, 6540, 258, 1721, 513, 6843, 2132, 4448, 9136, 454, 3698, 3113, 14116, 19885, 1712, 2187, 825, 1427, 284, 3553, 4590, 825, 585, 1775, 538, 575, 912, 1038, 952, 1775, 314, 271, 316, 2525, 27161, 912, 2018, 1427, 14491, 9217, 314, 272, 7481, 1038, 952, 1775, 314, 272, 316, 2525, 27161, 912, 2018, 1427, 14491, 9217, 314, 271, 7481, 825, 2132, 1592, 263, 4958, 994, 8931, 3698, 536, 12028, 14116, 19885, 3941, 267, 10174, 267, 8882, 284, 1015, 1262, 280, 2187, 825, 1427, 28121, 8679, 825, 585, 6843, 538, 9136, 912, 1038, 1427, 19559, 1712, 316, 17342, 8882, 267, 14085, 316, 1948, 23251, 2385, 454, 825, 7117, 17342, 2639, 825, 1427, 314, 10174, 6012, 271, 24557, 271, 454, 825, 7117, 6910, 20172, 994, 825, 1247, 7003, 32429, 264, 285, 271, 912, 1038, 1225, 284, 336, 21014, 263, 271, 994, 1038, 585, 562, 538, 3113, 14116, 267, 2017, 2187, 2018, 952, 1427, 19559, 6012, 271, 316, 2525, 8882, 912, 3546, 1427, 19559, 6012, 271, 24557, 4958, 314, 2017, 6012, 271, 27994, 272, 454, 3546, 1427, 19559, 6012, 272, 24557, 2017, 454, 3546, 7117, 6910, 3799, 994, 825, 2132, 1427, 692, 321, 284, 8578, 338, 14116, 19885, 3941, 267, 272, 994, 2745, 536, 28329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 1103, 713, 1297, 4845, 4976, 267, 1053, 1451, 519, 3268, 547, 2328, 513, 1297, 4845, 547, 4194, 6310, 4834, 269, 4841, 4194, 513, 1297, 4845, 543, 1287, 3313, 952, 972, 568, 1776, 1259, 547, 4194, 519, 1966, 563, 274, 14358, 476, 277, 20042 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6637, 476, 1556, 13891, 19982, 692, 5719, 321, 19982, 3213, 514, 570, 1601, 692, 763, 1739, 1982, 568, 5921, 547, 581, 513, 2241, 11777, 19184, 27378, 3014, 269, 634, 454, 16651, 4991, 1079, 7058, 525, 630, 527, 779, 606, 2653, 3014, 1040, 1717, 267, 519, 1982, 814, 1896, 454, 30471, 538, 621, 269, 14840, 998, 519, 1982, 513, 1906, 2053, 547, 1265, 519, 12961, 602, 1832, 454, 1492, 1982, 689, 2324, 7157, 563, 18257, 692, 5814, 4351, 692, 29674, 815, 1412, 7055, 16149, 10817, 612, 815, 15234, 1948, 7508, 692, 8314, 306, 1938, 815, 18011, 21650, 3299, 1412, 339, 5661, 5073, 6112, 7058, 711, 538, 11777, 306, 1938, 912, 825, 1820, 3488, 10817, 612, 519, 11777, 19184, 256, 9373, 9843, 610, 21217, 281, 5073, 825, 7058, 815, 3403, 4590, 339, 1601, 815, 4351, 26716, 4069, 263, 8314, 306, 1938, 264, 1948, 3903, 3079, 540, 28219, 842, 476, 271, 568, 21217, 267, 476, 272, 568, 9843, 454, 604, 19184, 2652, 7058, 912, 825, 1820, 3488, 2791, 3893, 621, 256, 5073, 12828, 912, 825, 1820, 3488, 301, 2100, 256, 2871, 612, 1586, 256, 5073, 825, 1247, 2034, 10817, 612, 711, 538, 11777, 306, 1938, 281, 1948, 7508, 454, 1038, 1820, 3488, 11767, 9843, 610, 21217, 281, 5073, 1038, 2034, 10817, 612, 815, 3403, 4590, 825, 952, 19184, 2652, 2034, 10817, 612, 912, 1038, 1820, 3488, 2791, 3893, 621, 256, 5073, 825, 3116, 912, 1038, 1820, 3488, 301, 2100, 269, 1411, 616, 2731, 3983, 693, 713, 3014, 9538, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5825, 2951, 18353, 585, 13575, 6340, 267, 609, 2463, 547, 3337, 267, 28661, 635, 553, 2887, 883, 1079, 2101, 6688, 269, 2368, 616, 811, 9764, 5895, 983, 267, 543, 1866, 616, 24814, 14248, 18967, 673, 28075, 267, 971, 607, 519, 635, 1115, 670, 1446, 5174, 31463, 543, 594, 4486, 320, 19053, 28702, 267, 610, 10178, 11057, 1612, 20326, 267, 899, 1855, 6277, 18636, 779, 1290, 564, 540, 16658, 589, 28661, 609, 513, 5895, 983, 635, 320, 3379, 547, 513, 28661, 609, 606, 14248, 18967, 673, 635, 320, 269, 12005, 5491, 11184, 338, 15939, 17880, 3326, 269, 3794, 984, 983, 635, 553, 1419, 723, 513, 4544, 610, 3039, 27280, 267, 1317, 789, 616, 811, 575, 29983, 982, 7452, 344, 269, 11875, 18967, 673, 543, 1612, 20326, 635, 553, 1419, 2408, 811, 5835, 880, 267, 1317, 789, 616, 7452, 1512, 269, 634, 1034, 20498, 635, 1115, 538, 1686, 267, 5230, 7452, 26148, 635, 1115, 602, 723, 1500, 3226, 2673, 10596, 676, 519, 6129, 4947, 1369, 519, 10739, 540, 22358, 267, 4043, 547, 723, 14248, 18967, 673, 610, 1612, 20326, 635, 553, 269, 5221, 540, 519, 6129, 779, 7920, 5982, 2604, 267, 519, 7452, 30461, 3141, 1189, 676, 519, 13540, 568, 5612, 7142, 1394, 3297, 621, 267, 609, 519, 1267, 602, 519, 13540, 568, 1360, 2673, 547, 519, 3141, 1189, 2427, 540, 519, 635, 320, 269, 2974, 2951, 18353, 476, 1001, 277, 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 ]
[ 0, 3698, 1039, 5416, 267, 536, 8029, 825, 2132, 513, 17070, 5897, 3698, 1016, 5416, 267, 536, 8029, 825, 2132, 513, 1532, 5897, 3698, 15273, 5416, 267, 536, 8029, 825, 2132, 513, 265, 321, 5897, 3698, 2820, 5416, 267, 536, 8029, 825, 2132, 513, 11486, 5897, 3698, 1110, 5416, 267, 536, 8029, 825, 2132, 513, 260, 321, 5897, 2745, 263, 1029, 4067, 1029, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1820, 263, 5417, 263, 272, 267, 476, 273, 17903, 825, 1820, 4433, 889, 263, 273, 267, 476, 272, 17903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22067, 543, 1294, 519, 4095, 19246, 543, 519, 1007, 27683, 689, 3013, 269, 634, 12217, 616, 7996, 547, 2743, 596, 267, 543, 519, 22171, 689, 3624, 616, 7996, 547, 12235, 1919, 693, 596, 269, 634, 17681, 5243, 689, 5245, 616, 7996, 547, 14902, 693, 596, 267, 543, 519, 30539, 742, 525, 689, 2098, 25995, 616, 7996, 547, 1413, 1524, 593, 596, 269, 32402, 1115, 717, 3497, 13522, 281, 259, 273, 269, 876, 5753, 281, 7021, 476, 1321, 1269, 476, 272, 269, 876, 7201, 476, 1321, 5131, 14956, 2287, 942, 476, 280, 281, 876, 513, 6230, 269, 734, 476, 275, 281, 876, 533, 6230, 269, 31453, 11016, 476, 1015, 281, 876, 513, 6230, 269, 4534, 476, 274, 2433, 876, 533, 6230, 269, 8206, 6904, 540, 519, 1739, 568, 519, 9683, 942, 888, 271, 269, 476, 279, 281, 1789, 513, 6230, 269, 11728, 454, 272, 269, 476, 280, 281, 1789, 513, 6230, 269, 11016, 454, 273, 269, 476, 274, 281, 876, 533, 6230, 269, 10732, 454, 274, 269, 476, 276, 281, 876, 533, 6230, 269, 13638, 454, 12585, 281, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 866, 568, 513, 2101, 4155, 538, 4789, 4881, 5111, 6252, 547, 543, 7532, 540, 519, 589, 272, 4155, 269, 4014, 519, 1079, 9897, 2743, 693, 519, 7187, 1439, 540, 519, 589, 866, 267, 519, 1079, 9897, 8385, 1558, 693, 519, 7013, 1439, 540, 519, 589, 866, 538, 5213, 322, 2120, 267, 855, 519, 2025, 8905, 540, 519, 589, 272, 729, 4957, 547, 519, 589, 277, 4343, 269, 3245, 2672, 837, 1633, 5087, 2072, 267, 519, 8905, 729, 19497, 519, 589, 10482, 269, 769, 519, 2250, 519, 8905, 729, 1634, 607, 519, 5101, 540, 590, 3534, 603, 25286, 1251, 268, 1320, 597, 12921, 21178, 1442, 2023, 6823, 6874, 4315, 4149, 8974, 1633, 2558, 6064, 10003, 269, 4107, 6808, 26082, 519, 589, 866, 267, 16144, 585, 1855, 612, 728, 267, 689, 519, 589, 12739, 693, 667, 880, 1721, 628, 3955, 4219, 563, 1607, 2376, 2115, 3606, 14327, 585, 19027, 269, 630, 20103, 476, 1708, 271, 994, 347, 21920, 1475, 14862, 11465, 630, 1220, 5998, 10245, 347, 22139, 1439, 1475, 5353, 26293, 22210, 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 ]
[ 0, 1103, 513, 2487, 2376, 538, 634, 1977, 10104, 267, 808, 650, 700, 788, 648, 13187, 602, 8361, 654, 611, 29536, 7043, 325, 3641, 779, 4583, 6648, 267, 968, 763, 11068, 9519, 681, 728, 540, 6754, 1234, 3164, 2223, 729, 811, 827, 8474, 982, 621, 729, 827, 6754, 1234, 3164, 563, 1432, 568, 5310, 1034, 4277, 827, 1200, 4062, 568, 519, 1259, 1352, 2982, 875, 7043, 325, 3641, 779, 6648, 729, 3261, 730, 676, 9410, 13162, 3751, 12789, 1421, 23413, 17394, 267, 7917, 1635, 6113, 543, 6723, 4793, 13403, 269, 3371, 568, 519, 8574, 593, 4793, 13403, 912, 8310, 1032, 267, 593, 519, 16683, 540, 6754, 1234, 3164, 779, 11878, 267, 6723, 4793, 13403, 5828, 909, 538, 11785, 269, 4793, 13403, 267, 519, 5449, 17044, 17294, 540, 1715, 3840, 267, 729, 3206, 827, 4881, 585, 7022, 282, 538, 713, 267, 519, 2085, 540, 519, 21281, 9549, 267, 4793, 13403, 729, 538, 991, 540, 513, 5853, 532, 12429, 269, 769, 519, 3345, 7736, 267, 646, 17479, 5128, 538, 4395, 540, 606, 1226, 652, 6929, 18533, 540, 6754, 1234, 3164, 269, 1261, 729, 972, 547, 10131, 968, 3725, 3164, 3013, 2223, 513, 18758, 968, 4765, 5344, 547, 14027, 1455, 2631, 1857, 4507, 12082, 538, 938, 5389, 540, 5191, 543, 1863, 6990, 267, 543, 602, 786, 2899, 1586, 1118, 3013, 5150, 543, 25133, 585, 5481, 547, 2097, 1848, 4706, 3804, 729, 968, 1729, 10244, 543, 24244, 519, 9739, 540, 519, 1977, 1004, 547, 2285, 873, 513, 3152, 2161, 538, 8165, 1394, 1996, 519, 6937, 547, 5191, 15054, 676, 6115, 5391, 5644, 1848, 6301, 569, 267, 1498, 267, 4793, 13403, 4941, 547, 5531, 22782, 593, 513, 21936, 968, 1729, 4735, 531, 543, 5372, 5136, 600, 659, 732, 2223, 799, 596, 1223, 1129, 693, 519, 1234, 3164, 3013, 3896, 676, 14467, 593, 606, 12835, 540, 513, 844, 650, 543, 13504, 6202, 593, 513, 4062, 540, 533, 1105, 618, 269, 968, 2171, 2461, 7555, 2282, 1141, 6754, 1234, 3164, 267, 593, 713, 1554, 267, 476, 20720, 1296, 3516, 267, 3459, 513, 11878, 2223, 4793, 13403, 1767, 269, 968, 3891, 729, 3168, 547, 2995, 13348, 5328, 4892, 267, 2048, 5978, 5191, 729, 538, 8594, 10200, 1284, 2461, 1934, 2221, 547, 2995, 519, 1004, 540, 3013, 602, 2899, 1586, 938, 5191, 568, 538, 8594, 1848, 3245, 1072, 1416, 563, 32306, 513, 31400, 454, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 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, 12041, 281, 30546, 595, 1258, 638, 626, 9137, 2063, 8242, 593, 5437, 476, 1428, 267, 476, 1001, 279, 692, 763, 4605, 1657, 9727, 513, 4542, 538, 1591, 674, 274, 602, 2636, 596, 547, 1413, 909, 513, 1871, 538, 6241, 645, 1210, 519, 1871, 538, 1591, 674, 273, 267, 849, 6236, 4484, 524, 2084, 267, 1287, 2132, 519, 7222, 1871, 689, 6241, 595, 780, 284, 18853, 13052, 18154, 274, 281, 290, 279, 267, 21316, 6224, 263, 15045, 16604, 267, 13052, 16898, 263, 293, 273, 32390, 274, 281, 289, 279, 1070, 271, 11723, 763, 4542, 1657, 568, 606, 5044, 4542, 269, 1677, 4283, 606, 5044, 4542, 267, 1826, 519, 4542, 538, 513, 1591, 1287, 2046, 543, 3180, 11632, 12435, 1341, 15562, 9281, 307, 8195, 267, 1631, 2046, 9373, 2899, 269, 24793, 782, 10569, 780, 763, 4542, 3046, 1631, 2982, 519, 4542, 20583, 609, 1225, 569, 23049, 10213, 596, 602, 596, 9411, 519, 4542, 6707, 269, 5213, 1405, 4283, 519, 1225, 569, 23049, 3054, 780, 2252, 596, 4782, 513, 2834, 4542, 267, 18178, 547, 834, 21446, 894, 2834, 4542, 2580, 2630, 538, 713, 2376, 780, 2162, 4112, 8724, 4542, 538, 1591, 674, 274, 692, 2971, 5153, 476, 272, 910, 14424, 1413, 1575, 1871, 609, 1413, 1575, 6241, 692, 763, 1401, 716, 1599, 2636, 596, 547, 5635, 2418, 267, 952, 789, 616, 4010, 519, 1482, 519, 12327, 16898, 1599, 7024, 13138, 16604, 269, 8074, 267, 519, 1599, 568, 2013, 6213, 780, 13052, 16898, 263, 293, 273, 32390, 274, 281, 289, 279, 2020, 2041, 3699, 692, 13052, 16898, 2891, 320, 8150, 2580, 346, 257, 12711, 320, 21968, 834, 12711, 288, 21968, 834, 320, 8150, 21968, 834, 8150, 288, 21968, 834, 8150, 320, 21968, 834, 288, 12711, 257, 348, 2020, 663, 7024, 2715, 293, 3201, 10345, 282, 674, 3201, 10345, 282, 13138, 16604, 282, 674, 3201, 10345, 282, 674, 3201, 10345, 282, 674, 3201, 10345, 348, 780, 2971, 5153, 476, 273, 910, 10576, 519, 3448, 2990, 540, 1871, 13138, 16604, 538, 519, 5044, 692, 763, 13878, 6224, 1599, 9060, 513, 1808, 1871, 538, 606, 5044, 610, 1591, 2039, 543, 7024, 922, 4087, 267, 513, 1297, 8204, 519, 2990, 780, 21316, 6224, 263, 15045, 16604, 267, 13052, 16898, 263, 293, 273, 32390, 274, 281, 289, 279, 1070, 271, 2020, 2041, 3699, 692, 21316, 6224, 263, 15045, 16604, 267, 346, 293, 3201, 10345, 282, 674, 3201, 10345, 282, 13138, 16604, 282, 674, 3201, 10345, 282, 674, 3201, 10345, 282, 674, 3201, 10345, 9574, 271, 2020, 663, 7024, 476, 274, 269, 13138, 16604, 568, 538, 519, 3791, 2990, 538, 519, 5044, 780, 2971, 5153, 476, 274, 910, 17776, 7222, 1871, 689, 6241, 595, 692, 763, 28960, 13052, 1599, 7024, 513, 1871, 689, 606, 5044, 610, 1591, 2039, 1759, 593, 519, 4087, 269, 2334, 568, 1946, 519, 28960, 13052, 543, 13878, 6224, 1599, 960, 865, 1434, 1927, 780, 18853, 13052, 18154, 274, 281, 290, 279, 267, 21316, 6224, 263, 15045, 16604, 267, 13052, 16898, 263, 293, 273, 32390, 274, 281, 289, 279, 1070, 271, 11723, 2041, 3699, 692, 18853, 13052, 18154, 274, 281, 290, 279, 267, 274, 2020, 2041, 3699, 692, 18853, 13052, 20719, 277, 282, 276, 282, 275, 282, 274, 282, 273, 282, 272, 9574, 274, 2020, 663, 7024, 476, 275, 538, 1591, 674, 274, 780, 2162, 20010, 2834, 4542, 692, 284, 18853, 13052, 18154, 274, 281, 290, 279, 267, 13878, 6224, 263, 15045, 16604, 267, 28960, 13052, 263, 13052, 16898, 263, 293, 273, 267, 645, 274, 281, 289, 279, 1070, 16532, 476, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1015, 281, 21988, 28544, 543, 7991, 22580, 692, 2026, 649, 1332, 4587, 267, 621, 781, 1898, 547, 2226, 938, 2168, 1072, 267, 2790, 8325, 1145, 267, 543, 1514, 4296, 269, 901, 3184, 786, 2263, 875, 3906, 899, 5842, 17630, 744, 12118, 948, 4079, 2085, 6707, 676, 5356, 1585, 1565, 3255, 267, 5009, 2635, 2713, 267, 543, 8716, 29076, 6278, 269, 1635, 1620, 891, 2035, 267, 596, 666, 5660, 519, 2956, 540, 9363, 3742, 543, 7722, 538, 707, 2146, 607, 596, 1205, 4587, 780, 272, 269, 17151, 13717, 4804, 692, 5331, 1373, 2111, 547, 1491, 513, 1362, 593, 10344, 267, 1451, 827, 2199, 1686, 267, 610, 1353, 513, 1007, 1893, 1175, 1317, 596, 1616, 547, 1765, 2254, 1317, 596, 723, 547, 256, 2334, 781, 1018, 15400, 1565, 568, 782, 827, 269, 898, 1797, 13197, 2069, 543, 2123, 2208, 2429, 835, 781, 10715, 267, 7488, 540, 2085, 269, 1280, 1082, 4079, 267, 713, 1826, 540, 5571, 1565, 2337, 1832, 741, 8186, 8325, 267, 12857, 873, 547, 1007, 12348, 543, 4690, 267, 543, 2636, 873, 547, 1921, 609, 1866, 945, 2671, 2147, 18653, 780, 4263, 5842, 17630, 744, 12118, 267, 972, 616, 1896, 2081, 547, 7119, 538, 15400, 1565, 1384, 320, 264, 769, 16512, 5049, 910, 1452, 616, 2757, 4928, 5468, 1141, 5171, 2743, 3068, 3562, 19904, 609, 16929, 543, 824, 1053, 269, 1358, 1522, 7390, 15872, 267, 5717, 267, 610, 3946, 6823, 11925, 593, 1585, 3584, 563, 321, 264, 28628, 5049, 910, 26157, 1312, 538, 16512, 543, 2228, 2609, 267, 10316, 6030, 1450, 8112, 1247, 1869, 3246, 930, 2640, 540, 538, 16512, 5872, 269, 19893, 949, 4585, 3381, 4245, 693, 1753, 855, 5531, 1927, 12212, 585, 1895, 2238, 610, 2689, 7886, 563, 322, 264, 6732, 5049, 910, 5510, 1229, 7357, 3842, 519, 4950, 267, 2228, 6030, 5512, 6267, 547, 1569, 2326, 267, 4497, 538, 5717, 267, 543, 2347, 10467, 689, 9170, 609, 606, 4950, 4276, 780, 5591, 2339, 799, 3898, 789, 3442, 267, 2937, 6267, 666, 2972, 3695, 5396, 602, 1719, 873, 543, 5870, 1007, 2828, 2059, 519, 1259, 780, 273, 269, 13245, 12389, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 21832, 20525, 3582, 9215, 589, 12283, 5442, 12813, 19781, 454, 2108, 293, 17920, 892, 5442, 700, 10976, 292, 589, 16598, 2562, 2507, 23166, 590, 3198, 14192, 9680, 302, 454, 295, 8582, 25723, 23184, 10396, 267, 19010, 269, 918, 2894, 19010, 10813, 298, 454, 3198, 30862, 2207, 28697, 4488, 292, 5508, 5990, 17985, 5058, 29706, 313, 313, 4041, 454, 297, 8085, 296, 3198, 21598, 2894, 6224, 6673, 303, 4041, 11404, 17395, 623, 294, 269, 1691, 454, 288, 21832, 20525, 3582, 9215, 589, 12283, 5442, 12813, 19781, 454, 2108, 293, 17920, 892, 5442, 700, 10976, 292, 589, 16598, 2562, 2507, 23166, 590, 3198, 14192, 9680, 302, 454, 295, 8582, 25723, 23184, 10396, 267, 19010, 269, 918, 2894, 19010, 10813, 298, 454, 3198, 30862, 2207, 28697, 4488, 292, 5508, 5990, 17985, 5058, 29706, 313, 313, 4041, 454, 297, 8085, 296, 3198, 21598, 2894, 6224, 6673, 303, 4041, 11404, 17395, 623, 294, 269, 1691, 454, 26596, 17630, 744, 12118, 568, 606, 8366, 20421, 18758, 3919, 602, 814, 1044, 7674, 1004, 476, 2004, 266, 2429, 519, 5842, 17630, 3148, 585, 519, 2250, 476, 3374, 1296, 563, 5978, 5692, 568, 547, 3895, 3811, 10172, 998, 513, 1614, 24670, 1935, 912, 1892, 17151, 13717, 4804, 454, 2171, 3180, 5049, 2429, 5842, 17630, 6019, 538, 476, 274, 12043, 281, 538, 16512, 267, 10316, 267, 543, 2228, 563, 1892, 13245, 12389, 454, 2171, 2709, 7886, 538, 8516, 267, 7544, 267, 6484, 267, 1272, 16654, 267, 543, 5312, 2068, 2359, 563, 1892, 3955, 23400, 15789, 454, 2171, 723, 7366, 540, 8036, 13538, 945, 4142, 6510, 741, 942, 547, 693, 16151, 6107, 998, 2542, 23468, 267, 1433, 2285, 25498, 267, 543, 30023, 3292, 563, 307, 310, 302, 29486, 7563, 16739, 9215, 590, 2207, 12717, 9358, 2336, 20862, 271, 24162, 23992, 4741, 20000, 267, 1948, 29483, 5487, 2725, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 17716, 281, 1215, 547, 1628, 513, 2241, 6177, 5264, 269, 12338, 519, 3574, 547, 519, 7306, 2877, 269, 12338, 856, 476, 278, 268, 280, 476, 277, 343, 277, 4773, 540, 3574, 267, 7893, 476, 273, 4699, 268, 276, 4699, 5394, 543, 6094, 267, 4470, 593, 707, 5497, 2450, 269, 1452, 1106, 519, 476, 275, 6821, 267, 519, 476, 272, 6989, 543, 519, 476, 273, 8122, 4773, 269, 3097, 271, 269, 1684, 711, 946, 533, 16072, 267, 621, 949, 15237, 269, 1496, 11357, 25074, 316, 4460, 519, 6482, 593, 519, 3574, 609, 513, 15262, 270, 5155, 4290, 563, 272, 269, 715, 841, 891, 547, 519, 5377, 540, 519, 4216, 543, 1472, 782, 476, 275, 5011, 267, 1818, 2386, 602, 789, 2811, 1256, 269, 5901, 18110, 713, 2394, 596, 723, 707, 5551, 2450, 563, 273, 269, 2422, 3617, 2645, 547, 2759, 856, 782, 5216, 6106, 540, 3574, 269, 1496, 11357, 25074, 316, 1403, 596, 4312, 6074, 547, 1106, 513, 6177, 5264, 2497, 267, 596, 3513, 991, 5111, 476, 279, 6279, 630, 736, 4699, 264, 540, 3574, 563, 274, 269, 1496, 27583, 316, 4635, 513, 22315, 267, 2721, 513, 5858, 593, 835, 540, 519, 10945, 269, 1496, 21163, 316, 13689, 593, 519, 6177, 596, 2811, 15691, 547, 5000, 547, 3251, 267, 519, 5858, 1058, 581, 540, 519, 2450, 621, 666, 18113, 3514, 883, 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 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 1572, 674, 7037, 6807, 267, 5030, 1079, 1655, 2828, 3957, 5981, 543, 16092, 269, 1358, 941, 2141, 8049, 543, 6068, 1565, 1007, 1919, 269, 2290, 1554, 789, 4862, 827, 2564, 9235, 538, 5607, 543, 875, 1004, 14612, 2484, 2476, 689, 741, 5321, 547, 1205, 2564, 2126, 780, 20694, 543, 16092, 4941, 547, 1451, 811, 827, 713, 7613, 267, 865, 789, 4956, 547, 979, 593, 606, 7045, 547, 5607, 269, 1358, 10272, 17289, 267, 17111, 267, 14135, 267, 543, 3127, 267, 1141, 789, 1336, 5458, 10506, 267, 7874, 2296, 18702, 7189, 267, 543, 4359, 2564, 3937, 269, 1358, 4718, 1082, 1004, 3478, 1114, 5686, 540, 5574, 899, 23815, 6391, 267, 5959, 960, 267, 543, 1256, 26983, 5574, 780, 2026, 789, 8268, 2417, 267, 789, 4121, 827, 875, 891, 2477, 6035, 10097, 3782, 3379, 547, 824, 2694, 540, 519, 1158, 269, 901, 729, 2009, 1813, 547, 2539, 3790, 540, 2713, 267, 799, 5921, 602, 7189, 267, 11923, 267, 543, 6413, 5234, 1223, 6488, 547, 960, 585, 1447, 2724, 982, 538, 824, 4025, 269, 3958, 267, 519, 6608, 538, 891, 2477, 16539, 8185, 538, 2069, 543, 2029, 267, 4611, 538, 1283, 27677, 577, 2564, 2866, 543, 5969, 12967, 2564, 3457, 780, 4913, 267, 1282, 741, 3460, 267, 1945, 6397, 5949, 910, 519, 5046, 268, 866, 6855, 13351, 269, 13488, 9993, 1500, 621, 2352, 585, 1004, 547, 2951, 585, 2564, 1416, 269, 5794, 7964, 6806, 1524, 267, 543, 3025, 1185, 547, 3251, 1753, 547, 1832, 2922, 269, 4634, 1498, 789, 7948, 1405, 3136, 3695, 15042, 267, 789, 7691, 519, 2956, 540, 1072, 543, 2921, 15416, 1996, 3676, 780, 1103, 519, 1439, 267, 4352, 741, 3078, 7552, 4769, 1405, 2490, 856, 4010, 607, 9709, 267, 789, 1869, 4362, 3407, 4245, 269, 6481, 9235, 6026, 873, 827, 2518, 1072, 13103, 543, 6639, 7760, 269, 11531, 267, 519, 6727, 12625, 540, 519, 6855, 4951, 873, 519, 4644, 540, 1857, 1072, 543, 3106, 3800, 269, 1656, 865, 267, 938, 12703, 7045, 3464, 8120, 1753, 267, 11235, 547, 2671, 1018, 789, 4121, 609, 1866, 1247, 9363, 2635, 1927, 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, 29205, 596, 1683, 606, 7650, 540, 519, 1699, 1533, 540, 2564, 9235, 538, 5607, 888, 296, 798, 711, 723, 2123, 8369, 610, 4978, 267, 855, 1934, 781, 606, 7650, 540, 519, 1699, 1533, 540, 2564, 9235, 538, 607, 807, 1384, 4364, 673, 9235, 538, 607, 807, 814, 1044, 3395, 538, 2487, 1296, 7064, 547, 519, 8244, 540, 10097, 3782, 267, 1164, 7779, 2564, 6703, 267, 543, 3810, 11727, 7189, 269, 519, 3148, 814, 1831, 513, 2442, 10278, 585, 2564, 14666, 689, 1472, 519, 1158, 5275, 5574, 971, 607, 23815, 6391, 267, 5959, 960, 267, 543, 26983, 5574, 780, 12248, 1845, 971, 607, 555, 16233, 267, 4731, 904, 807, 267, 543, 2206, 12940, 723, 17479, 2933, 607, 3056, 2564, 9235, 18353, 538, 607, 807, 267, 609, 1804, 10506, 267, 7005, 18702, 7189, 267, 543, 4359, 2564, 4066, 269, 15242, 849, 814, 513, 14762, 2564, 9235, 2872, 267, 5356, 3388, 689, 2757, 32318, 20940, 320, 5574, 547, 2413, 2564, 5773, 780, 6011, 1197, 267, 519, 524, 10604, 268, 866, 6855, 814, 4299, 2564, 9235, 538, 607, 807, 543, 1472, 519, 1158, 267, 609, 2951, 1964, 686, 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 ]
[ 0, 5814, 14854, 692, 1233, 815, 14854, 2529, 10547, 30800, 3698, 2332, 10031, 825, 530, 333, 26644, 2891, 303, 784, 5602, 825, 530, 333, 12500, 326, 10233, 2891, 18872, 5602, 825, 530, 333, 15630, 1575, 263, 12296, 284, 8517, 267, 4463, 284, 7785, 994, 825, 530, 333, 6745, 571, 1356, 263, 271, 9239, 3698, 1292, 10031, 825, 1247, 630, 12148, 2187, 1038, 530, 333, 269, 26303, 4590, 1038, 3440, 318, 26303, 30800, 3698, 3440, 318, 26303, 10031, 825, 15848, 815, 476, 271, 269, 273, 454, 825, 10085, 815, 476, 271, 269, 273, 454, 825, 3440, 15630, 343, 263, 4252, 11859, 14585, 3890, 1341, 15848, 994, 825, 3440, 4732, 1214, 263, 4252, 13885, 14585, 3890, 1341, 10085, 9239, 3698, 1711, 7272, 18150, 3287, 267, 586, 2187, 825, 31784, 815, 14854, 11053, 31103, 4590, 825, 31784, 4732, 32497, 263, 271, 994, 825, 31784, 17482, 2891, 338, 13645, 8442, 476, 1948, 676, 9949, 4009, 815, 476, 736, 2608, 476, 736, 454, 825, 31784, 269, 10233, 2891, 19009, 5602, 825, 31784, 11075, 16747, 1125, 263, 560, 4958, 577, 16062, 573, 284, 276, 267, 12701, 318, 6352, 284, 272, 994, 825, 31784, 4877, 523, 1575, 4590, 825, 31784, 3052, 9369, 3287, 267, 586, 994, 825, 2132, 31784, 7531, 3698, 1711, 318, 4252, 10031, 825, 31784, 815, 14854, 11053, 31103, 4590, 825, 31784, 4732, 32497, 263, 271, 994, 825, 31784, 17482, 2891, 15132, 548, 8442, 476, 1948, 676, 9949, 4009, 815, 476, 736, 2608, 476, 736, 454, 825, 31784, 269, 10233, 2891, 19009, 5602, 825, 31784, 4877, 523, 1575, 4590, 825, 31784, 3052, 9369, 263, 271, 267, 476, 271, 994, 825, 2132, 31784, 7531, 3698, 31784, 19963, 8548, 913, 318, 1575, 10031, 825, 586, 815, 31784, 19963, 13885, 14585, 4590, 825, 586, 6834, 476, 736, 454, 825, 952, 586, 2999, 530, 333, 9884, 785, 578, 318, 19417, 3890, 1315, 476, 273, 912, 1038, 31784, 19963, 4732, 1214, 12169, 9239, 3698, 31784, 19963, 8548, 913, 5091, 1144, 10031, 825, 586, 815, 31784, 19963, 13885, 14585, 4590, 825, 586, 20699, 476, 736, 454, 825, 952, 586, 3436, 910, 272, 2608, 530, 333, 9884, 785, 578, 318, 19417, 3890, 1315, 476, 273, 912, 1038, 31784, 19963, 4732, 1214, 12169, 9239, 3698, 31784, 10734, 8548, 913, 318, 1575, 10031, 825, 586, 815, 31784, 10734, 13885, 14585, 4590, 825, 586, 6834, 476, 736, 454, 825, 952, 586, 2999, 530, 333, 9884, 785, 578, 318, 19417, 3890, 1315, 476, 273, 912, 1038, 31784, 10734, 4732, 1214, 12169, 9239, 3698, 31784, 10734, 8548, 913, 5091, 1144, 10031, 825, 586, 815, 31784, 10734, 13885, 14585, 4590, 825, 586, 20699, 476, 736, 454, 825, 952, 586, 3436, 910, 272, 2608, 530, 333, 9884, 785, 578, 318, 19417, 3890, 1315, 476, 273, 912, 1038, 31784, 10734, 4732, 1214, 12169, 9239, 8181, 4590, 335, 18150, 19963, 815, 1711, 7272, 18150, 8987, 12573, 267, 476, 271, 994, 335, 18150, 10734, 815, 1711, 7272, 18150, 263, 12573, 267, 476, 271, 994, 4252, 815, 1711, 318, 4252, 10797, 1233, 269, 4289, 523, 4590, 1233, 269, 517, 651, 2988, 816, 9638, 18150, 19963, 8548, 913, 318, 1575, 267, 834, 342, 5602, 1233, 269, 517, 651, 2988, 816, 9638, 18150, 19963, 8548, 913, 5091, 1144, 267, 834, 338, 5602, 1233, 269, 517, 651, 2988, 816, 9638, 18150, 10734, 8548, 913, 318, 1575, 267, 834, 10000, 5602, 1233, 269, 517, 651, 2988, 816, 9638, 18150, 10734, 8548, 913, 5091, 1144, 267, 834, 291, 1144, 15419, 10852, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 550, 2784, 320, 815, 3403, 14061, 20889, 4590, 320, 815, 703, 263, 550, 2784, 320, 314, 271, 7481, 321, 815, 703, 263, 550, 2784, 320, 314, 272, 20285, 604, 513, 260, 321, 2652, 271, 610, 536, 260, 320, 2652, 271, 912, 825, 1820, 2891, 306, 7776, 11638, 680, 657, 5602, 12828, 912, 825, 1820, 2891, 301, 7776, 1094, 334, 11638, 680, 657, 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 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 12163, 2237, 513, 1982, 602, 3649, 1080, 585, 513, 3593, 3403, 543, 16493, 513, 12297, 1169, 2034, 2394, 454, 320, 3593, 2901, 5734, 9373, 610, 568, 7166, 609, 513, 5365, 269, 769, 2013, 540, 513, 595, 27530, 4211, 454, 320, 5048, 14871, 3403, 23545, 539, 4927, 581, 9102, 593, 513, 1007, 1899, 269, 1403, 513, 3593, 3403, 454, 13195, 4607, 606, 3498, 4927, 1820, 621, 1394, 593, 513, 1007, 1899, 563, 295, 842, 454, 8196, 513, 1062, 22245, 547, 2936, 713, 4305, 1510, 16060, 563, 20701, 454, 5814, 19523, 454, 5814, 5365, 7531, 3698, 856, 4433, 793, 636, 267, 7406, 17107, 825, 19523, 14714, 323, 719, 22182, 28361, 333, 27165, 3403, 23545, 539, 26142, 333, 5073, 825, 19523, 20216, 527, 30800, 3698, 12297, 4433, 793, 636, 267, 7406, 17107, 825, 19523, 14714, 323, 719, 22182, 3488, 9538, 9239, 338, 793, 531, 4732, 793, 531, 4433, 793, 531, 2529, 5456, 19860, 267, 856, 994, 338, 793, 531, 4732, 793, 531, 4433, 793, 531, 2529, 5456, 3201, 305, 300, 267, 12297, 2020, 338, 793, 531, 15630, 527, 25534, 4433, 793, 531, 15660, 2316, 300, 2207, 318, 3918, 3201, 267, 476, 272, 267, 476, 272, 2020, 2745, 6151, 17750, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 798, 5836, 4129, 13236, 896, 1216, 609, 513, 8546, 4448, 547, 3068, 9633, 543, 1100, 2011, 7382, 286, 888, 268, 27118, 299, 341, 476, 6321, 3275, 3516, 454, 2005, 282, 338, 1572, 19301, 308, 10621, 267, 3079, 540, 2480, 18866, 563, 21080, 568, 13859, 689, 513, 10935, 593, 519, 2627, 609, 606, 2011, 6802, 267, 1524, 998, 513, 25652, 543, 883, 519, 9633, 269, 6884, 621, 4422, 883, 1175, 513, 5023, 12328, 630, 2958, 15975, 264, 543, 519, 1268, 31273, 741, 1378, 9633, 585, 741, 4064, 14672, 846, 3079, 563, 9928, 18866, 11362, 568, 1259, 344, 344, 344, 1732, 1862, 2119, 3478, 513, 1362, 2336, 268, 7330, 293, 529, 15893, 272, 299, 341, 476, 10602, 3275, 3516, 454, 295, 809, 1695, 11362, 269, 1703, 568, 606, 2011, 26468, 593, 519, 2627, 602, 15450, 519, 2011, 1524, 547, 519, 9633, 269, 898, 568, 3908, 547, 827, 476, 1789, 268, 2412, 3952, 269, 5192, 2630, 602, 543, 519, 3390, 540, 519, 536, 1742, 2501, 909, 269, 23893, 2856, 607, 513, 2182, 11058, 11362, 9290, 4849, 596, 7669, 1472, 3079, 540, 16173, 547, 519, 5377, 563, 268, 24942, 1325, 821, 299, 341, 476, 10602, 3275, 3516, 454, 10673, 1406, 596, 1224, 519, 15722, 8718, 2782, 4750, 269, 1703, 616, 1631, 7382, 1652, 1085, 18866, 10591, 269, 898, 3096, 1945, 602, 666, 6460, 3327, 8166, 883, 5135, 865, 519, 11651, 1175, 3826, 1127, 538, 13381, 2011, 563, 268, 6004, 269, 12829, 2988, 1218, 299, 341, 476, 10602, 3275, 3516, 454, 5445, 991, 519, 2011, 2604, 538, 519, 9633, 547, 6474, 519, 1216, 2604, 540, 519, 1216, 10296, 593, 741, 9641, 269, 634, 7382, 814, 547, 798, 602, 1932, 269, 594, 4952, 621, 781, 16602, 547, 1832, 519, 1216, 2604, 1175, 1318, 267, 865, 789, 666, 13236, 855, 711, 9514, 909, 543, 1402, 899, 513, 17891, 563, 268, 1215, 798, 596, 1589, 827, 519, 4267, 286, 1411, 666, 1129, 538, 547, 8917, 519, 2626, 563, 268, 9291, 5336, 299, 341, 476, 10602, 3275, 3516, 454, 21080, 568, 13859, 998, 519, 670, 846, 909, 547, 513, 10935, 593, 519, 2627, 609, 606, 2011, 6802, 563, 268, 32088, 277, 3275, 3516, 454, 1492, 1412, 32353, 262, 4422, 782, 519, 547, 519, 2627, 1141, 621, 781, 554, 10541, 547, 606, 2011, 26468, 476, 5541, 32465 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13914, 827, 707, 9525, 538, 513, 2319, 602, 729, 2901, 2318, 610, 2942, 543, 1287, 946, 519, 3095, 2630, 547, 2708, 707, 2319, 779, 7145, 269, 8073, 513, 7824, 540, 707, 4879, 2164, 610, 13594, 621, 883, 513, 2262, 3561, 543, 454, 272, 264, 14202, 621, 607, 606, 7084, 454, 273, 264, 2022, 547, 519, 4901, 4604, 513, 6609, 540, 519, 2319, 596, 1031, 538, 11264, 519, 2319, 779, 7145, 4879, 267, 707, 4555, 827, 519, 707, 2319, 1995, 267, 519, 2188, 2687, 547, 519, 4879, 1867, 602, 8329, 547, 519, 2318, 610, 2942, 6364, 543, 519, 1909, 540, 519, 6205, 454, 274, 264, 16253, 547, 835, 2022, 676, 1776, 2875, 630, 320, 2110, 5037, 994, 10059, 2517, 4178, 6230, 785, 339, 8962, 2593, 9706, 1137, 270, 14835, 270, 2908, 307, 12613, 318, 10019, 21867, 630, 299, 3855, 547, 606, 5007, 3135, 8094, 265, 1280, 1948, 273, 543, 476, 274, 267, 5225, 2328, 538, 476, 272, 560, 1268, 563, 265, 3371, 568, 519, 2875, 779, 4901, 2022, 2630, 547, 16253, 563, 763, 2319, 594, 1031, 547, 2347, 519, 2319, 7145, 2534, 729, 1250, 5449, 1164, 1153, 13558, 2319, 269, 3414, 1250, 2185, 1296, 540, 1995, 593, 519, 2319, 267, 972, 941, 1082, 22705, 543, 17498, 585, 721, 269, 634, 2319, 12758, 1927, 585, 519, 1034, 851, 2705, 267, 593, 930, 14026, 972, 2152, 1063, 5718, 543, 5716, 563, 763, 3344, 602, 8329, 547, 519, 2318, 4093, 540, 519, 4879, 568, 519, 5718, 602, 729, 3238, 269, 7926, 1498, 930, 18006, 3664, 8604, 24407, 1881, 267, 972, 941, 1082, 3401, 593, 519, 2319, 602, 5129, 513, 4909, 1909, 538, 519, 6887, 6891, 543, 27907, 269, 1703, 941, 849, 15792, 14026, 1141, 5716, 941, 2016, 2773, 5955, 543, 5813, 593, 875, 547, 2087, 538, 519, 2104, 563, 763, 2942, 3344, 540, 519, 2319, 779, 7145, 1131, 581, 519, 17573, 3664, 1500, 676, 19393, 602, 941, 2797, 543, 1346, 945, 8604, 547, 581, 593, 519, 968, 16591, 2427, 892, 540, 519, 16455, 5234, 941, 2016, 3255, 602, 1866, 941, 711, 269, 901, 2460, 729, 24858, 585, 1082, 5716, 2705, 267, 1082, 12758, 609, 519, 2319, 936, 741, 1164, 1153, 11678, 543, 10150, 1373, 6306, 540, 519, 3919, 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 ]
[ 0, 4985, 912, 9199, 767, 532, 666, 581, 513, 16180, 1995, 602, 2636, 2043, 547, 2263, 1007, 4025, 267, 4529, 267, 543, 2743, 1114, 1004, 269, 1717, 267, 585, 2043, 609, 9124, 267, 2951, 666, 1459, 2189, 2591, 602, 949, 17225, 741, 2702, 547, 4628, 7119, 543, 2972, 519, 1995, 269, 901, 3184, 786, 1445, 593, 3015, 2951, 267, 5373, 4030, 689, 519, 1523, 540, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9557, 16941, 547, 14271, 534, 517, 547, 979, 16680, 1306, 7304, 580, 573, 268, 2026, 6261, 6372, 3134, 889, 17438, 1336, 607, 711, 1044, 585, 3284, 1108, 269, 3178, 538, 519, 4469, 334, 831, 729, 29964, 532, 741, 26292, 269, 476, 4375, 282, 2296, 18453, 585, 16095, 335, 6269, 625, 1044, 883, 606, 3730, 1858, 269, 2238, 16941, 7166, 547, 12337, 4255, 267, 543, 2053, 20295, 1759, 883, 11766, 532, 10974, 269, 4591, 2006, 4959, 1031, 513, 3134, 889, 17438, 25043, 540, 9483, 7869, 540, 3246, 891, 2640, 267, 3168, 543, 30418, 856, 519, 2930, 2243, 540, 11374, 741, 6469, 5243, 269, 2859, 982, 476, 6110, 2164, 267, 7132, 3838, 267, 23349, 267, 543, 4271, 6759, 1151, 951, 269, 1280, 3108, 540, 3926, 4987, 267, 16147, 267, 543, 1482, 2027, 3074, 269, 14893, 31415, 20130, 17266, 6879, 582, 568, 10503, 547, 581, 540, 16368, 7544, 2914, 20564, 547, 2828, 543, 7606, 4914, 538, 519, 3544, 1341, 7597, 273, 540, 519, 30490, 1726, 3387, 331, 832, 269, 3573, 1239, 538, 606, 17677, 21698, 11264, 689, 8581, 543, 17577, 547, 12996, 543, 10255, 267, 28388, 741, 1480, 689, 10743, 543, 27939, 782, 519, 9343, 538, 891, 23806, 689, 799, 789, 798, 5747, 11609, 269, 634, 31350, 864, 537, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 7981, 9314, 1315, 24894, 1315, 7457, 1043, 13488, 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 ]
[ 0, 5035, 8827, 912, 825, 1219, 4894, 21595, 30308, 8138, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 3268, 815, 18011, 320, 262, 538, 521, 264, 1341, 18011, 321, 262, 538, 521, 264, 1363, 1948, 10303, 521, 1152, 3568, 1412, 320, 262, 543, 1412, 321, 3299, 865, 3268, 616, 693, 1034, 476, 273, 263, 272, 585, 9427, 782, 1412, 320, 262, 543, 476, 272, 585, 9427, 782, 1412, 321, 262, 1916, 1038, 952, 3268, 2652, 476, 273, 543, 521, 2652, 521, 11468, 18737, 272, 13912, 1363, 1948, 2252, 521, 3294, 568, 5493, 30308, 267, 621, 666, 581, 6569, 538, 835, 1900, 563, 2018, 3268, 20699, 476, 272, 454, 1038, 2132, 3268, 23351, 1948, 27987, 3268, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 19784, 2717, 569, 23625, 333, 23331, 11339, 585, 799, 3084, 11356, 888, 12585, 281, 634, 26851, 454, 2704, 328, 1162, 281, 26851, 5240, 267, 25480, 26851, 267, 15050, 1421, 634, 26851, 5507, 630, 20084, 1070, 634, 717, 4768, 323, 1014, 267, 634, 10817, 731, 1014, 267, 26851, 5177, 267, 634, 25480, 26851, 543, 3703, 21816, 17621, 267, 634, 26851, 267, 3400, 27376, 731, 267, 634, 1178, 27376, 611, 267, 26851, 11356, 267, 634, 5507, 26851, 267, 4065, 10817, 731, 1014, 16691, 16896, 267, 3400, 27376, 611, 267, 634, 26851, 10432, 754, 267, 634, 31384, 1014, 267, 20491, 18412, 6019, 267, 5980, 27369, 267, 634, 26851, 630, 2908, 4944, 1653, 1070, 634, 26851, 11356, 267, 634, 27369, 267, 6182, 27376, 611, 267, 634, 5240, 3336, 910, 26851, 543, 9866, 13996, 25201, 543, 6250, 3218, 10418, 267, 9012, 10817, 731, 1014, 267, 634, 26851, 1133, 15905, 267, 26851, 5240, 543, 9012, 13456, 1421, 26851, 5467, 267, 9012, 26851, 267, 4750, 1235, 540, 634, 26851, 267, 26851, 7734, 267, 26851, 630, 2908, 4944, 1653, 1070, 634, 26851, 630, 18197, 8003, 1070, 5507, 26851, 267, 634, 26851, 6651, 267, 634, 26851, 1715, 4944, 1653, 267, 634, 26851, 630, 20084, 1070, 14349, 27369, 267, 2871, 7568, 328, 611, 267, 26851, 630, 20084, 1070, 4065, 10817, 731, 1014, 267, 26851, 10432, 754, 267, 634, 3400, 27376, 611, 267, 634, 25480, 26851, 267, 26851, 1715, 4944, 1653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2764, 269, 589, 5060, 18416, 6987, 5014, 281, 3670, 1007, 2609, 585, 10503, 2296, 454, 21659, 514, 674, 1177, 322, 9116, 1496, 266, 2639, 25205, 858, 2160, 267, 630, 28770, 7978, 994, 1607, 3184, 568, 6035, 607, 606, 1383, 540, 519, 1826, 540, 9295, 547, 3590, 545, 23398, 18049, 630, 306, 293, 294, 264, 602, 568, 1500, 676, 1346, 2324, 538, 519, 5943, 540, 519, 2048, 25205, 858, 18049, 685, 630, 320, 4528, 540, 24700, 294, 827, 799, 594, 4927, 2161, 513, 2370, 811, 16172, 1040, 4935, 267, 899, 519, 3184, 676, 570, 27462, 267, 621, 568, 606, 14745, 540, 519, 1826, 540, 2143, 267, 3102, 6609, 540, 2296, 602, 568, 2838, 538, 519, 4628, 8763, 24700, 294, 602, 649, 3494, 547, 581, 2877, 267, 952, 649, 616, 547, 2743, 519, 4170, 540, 519, 3755, 540, 938, 11673, 602, 649, 1058, 2503, 538, 519, 8938, 23867, 2540, 269, 13018, 267, 713, 3184, 11394, 547, 3565, 547, 519, 2048, 11666, 5224, 11407, 685, 827, 875, 1655, 547, 2203, 519, 682, 13877, 6945, 3405, 540, 2296, 676, 11021, 519, 1871, 540, 6220, 538, 938, 11673, 1978, 1007, 2609, 540, 2497, 630, 663, 865, 741, 10096, 264, 799, 723, 865, 2484, 4607, 2110, 695, 337, 3424, 538, 1034, 6121, 332, 1513, 1107, 1519, 1034, 3590, 545, 23398, 12896, 332, 1513, 269, 8616, 891, 3688, 2049, 609, 513, 4908, 602, 568, 2907, 9645, 543, 602, 568, 267, 594, 2303, 267, 2810, 269, 1358, 616, 782, 23055, 540, 1018, 649, 4927, 2165, 519, 589, 5060, 18416, 6987, 5014, 630, 311, 2750, 1070, 543, 789, 2049, 607, 851, 540, 1018, 723, 1044, 1572, 2048, 874, 6652, 531, 1110, 1023, 9957 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14483, 2551, 540, 28993, 454, 1103, 28993, 267, 519, 2551, 568, 476, 278, 267, 13199, 267, 4510, 278, 607, 540, 13638, 267, 5412, 476, 4962, 267, 476, 1708, 274, 267, 609, 513, 2208, 2557, 540, 910, 271, 269, 280, 260, 829, 1032, 267, 476, 9692, 24570, 829, 1554, 267, 543, 476, 27628, 7972, 829, 1554, 269, 634, 2551, 540, 28993, 568, 6697, 547, 476, 271, 269, 6021, 260, 540, 519, 1158, 781, 2698, 781, 2551, 563, 25238, 3748, 630, 303, 270, 298, 332, 11054, 2567, 1475, 11152, 4658, 829, 5998, 11054, 630, 6812, 4658, 829, 11465, 11054, 1040, 2008, 347, 13420, 20884, 1158, 10573, 271, 269, 6021, 260, 540, 519, 2698, 1158, 2551, 8198, 347, 8469, 1014, 2085, 10573, 6246, 13012, 543, 476, 276, 3933, 2195, 8198, 1015, 13012, 28993, 8466, 15510, 454, 21270, 597, 2195, 1475, 5719, 23411, 1475, 294, 9512, 15580, 1475, 13707, 15510, 2008, 306, 8538, 807, 15510, 12618, 15580, 12815, 476, 1015, 13012, 454, 11795, 3720, 609, 519, 11683, 18831, 593, 2551, 454, 763, 476, 1708, 273, 31280, 540, 2622, 15510, 18370, 11072, 568, 519, 8938, 5498, 22770, 7160, 540, 4013, 2136, 8315, 2551, 9193, 543, 20327, 602, 723, 1044, 5423, 676, 519, 15510, 10406, 540, 519, 4972, 540, 9483, 543, 4317, 16457, 540, 519, 2136, 8315, 10555, 30353, 563, 268, 634, 476, 1708, 273, 31280, 540, 2622, 15510, 18370, 11072, 630, 309, 269, 2767, 9990, 264, 4972, 540, 9483, 543, 4317, 16457, 267, 15510, 10406, 563, 268, 1411, 666, 946, 6167, 15510, 10406, 4578, 5800, 531, 547, 20308, 1569, 547, 2518, 4578, 563, 268, 634, 2136, 8315, 4330, 741, 2959, 543, 875, 789, 3136, 547, 9337, 519, 1239, 2136, 8315, 4578, 17796, 267, 3776, 2319, 5170, 547, 960, 609, 519, 6167, 22045, 543, 1832, 938, 6538, 15222, 1242, 609, 6167, 1239, 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 ]
[ 0, 258, 5917, 589, 5586, 3630, 670, 310, 10298, 476, 736, 910, 530, 815, 562, 20734, 678, 314, 6523, 263, 15184, 562, 1775, 5609, 263, 15184, 13718, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 736, 1403, 562, 815, 476, 272, 267, 1287, 519, 3830, 568, 10502, 519, 1587, 4341, 540, 20145, 281, 630, 535, 326, 3738, 476, 271, 815, 535, 476, 271, 575, 1341, 535, 326, 476, 271, 1547, 1280, 519, 31602, 1900, 267, 649, 723, 630, 535, 326, 3738, 562, 1341, 476, 272, 815, 314, 630, 535, 326, 3738, 562, 9948, 476, 271, 815, 554, 562, 2473, 737, 815, 476, 271, 476, 23326, 562, 737, 2485, 368, 535, 737, 575, 562, 737, 1775, 476, 271, 815, 562, 2473, 737, 815, 476, 271, 476, 23326, 562, 737, 2485, 368, 327, 535, 737, 575, 562, 737, 1775, 476, 271, 815, 562, 2473, 737, 815, 476, 271, 476, 23326, 562, 737, 2485, 368, 327, 535, 737, 1341, 476, 272, 575, 562, 737, 1341, 535, 737, 575, 562, 737, 1341, 476, 272, 1775, 815, 562, 2473, 737, 815, 476, 271, 476, 23326, 562, 737, 2485, 368, 535, 737, 1341, 476, 272, 575, 562, 737, 1341, 562, 2473, 737, 815, 476, 271, 476, 23326, 562, 737, 2485, 368, 535, 737, 575, 562, 737, 1341, 476, 272, 1547, 25166, 1679, 713, 2063, 4082, 1510, 519, 29178, 10035, 281, 476, 23326, 562, 476, 271, 2485, 368, 535, 476, 271, 575, 562, 1341, 476, 272, 1341, 476, 23326, 562, 476, 272, 2485, 368, 535, 476, 272, 575, 562, 1341, 6440, 6440, 6440, 266, 476, 23326, 562, 737, 2485, 368, 535, 737, 575, 562, 737, 1341, 476, 272, 1341, 6440, 6440, 6440, 1341, 476, 23326, 562, 476, 271, 2485, 368, 535, 476, 272, 575, 562, 1341, 6440, 6440, 6440, 266, 476, 23326, 562, 737, 476, 272, 2485, 368, 535, 737, 575, 562, 737, 1341, 476, 272, 5788, 6440, 6440, 1547, 634, 1071, 1030, 535, 524, 1304, 540, 535, 737, 575, 562, 737, 1341, 476, 272, 568, 3976, 630, 562, 737, 476, 272, 3738, 1341, 630, 562, 737, 3738, 815, 630, 562, 1341, 476, 272, 737, 3738, 2073, 676, 19748, 2742, 476, 272, 269, 1704, 267, 607, 5551, 269, 476, 272, 269, 6246, 4855, 1775, 1547, 8827, 269, 1635, 1546, 7720, 643, 516, 521, 11532, 267, 2094, 1775, 815, 552, 1775, 12631, 270, 476, 273, 2073, 933, 17647, 1775, 815, 552, 1775, 12631, 270, 476, 275, 815, 5430, 12631, 270, 476, 275, 1341, 1775, 5609, 12631, 270, 476, 275, 815, 476, 273, 476, 273, 1341, 1775, 476, 273, 476, 273, 1547, 476, 272, 269, 4510, 630, 328, 264, 1403, 1990, 815, 678, 1496, 5430, 16564, 1341, 1775, 5609, 16564, 9948, 2073, 1397, 602, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 530, 815, 562, 20734, 678, 1496, 6523, 630, 15184, 270, 562, 3738, 1341, 1775, 5609, 630, 15184, 270, 562, 3738, 9948, 568, 606, 562, 555, 3597, 540, 1990, 2073, 1141, 678, 21759, 476, 271, 269, 8827, 269, 1635, 1546, 7720, 643, 516, 11313, 521, 11532, 267, 530, 562, 815, 630, 562, 20734, 678, 3738, 562, 630, 1496, 6523, 630, 15184, 270, 562, 3738, 1341, 1775, 5609, 630, 15184, 270, 562, 3738, 9948, 3738, 562, 815, 678, 1496, 5430, 630, 15184, 264, 1341, 1775, 5609, 630, 15184, 264, 9948, 1547, 630, 4512, 264, 8058, 602, 1169, 562, 555, 3597, 540, 1990, 814, 519, 1106, 3852, 370, 737, 530, 2073, 1141, 3852, 370, 568, 513, 18642, 562, 555, 3597, 540, 9322, 543, 737, 815, 2073, 476, 272, 2073, 476, 273, 2073, 1547, 1547, 1547, 2073, 562, 6567, 476, 272, 19601, 8698, 9509, 11657, 692, 1012, 901, 4063, 729, 23345, 593, 476, 1321, 270, 2641, 270, 1001, 272, 585, 519, 1576, 631, 3008, 476, 25396, 272, 6026, 676, 7905, 3223, 603, 25468, 749, 1282, 519, 12096, 1412, 1556, 2165, 693, 6167, 293, 780, 16485, 513, 6780, 2243, 910, 21493, 616, 2228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 1318, 6906, 814, 5011, 589, 267, 645, 267, 543, 595, 269, 17121, 589, 568, 519, 30494, 543, 2427, 645, 568, 849, 513, 2427, 540, 513, 13551, 269, 590, 1938, 589, 267, 595, 267, 543, 519, 2427, 540, 519, 13551, 11105, 547, 2427, 645, 723, 13080, 540, 476, 1428, 2073, 476, 279, 2073, 543, 476, 278, 2073, 6606, 269, 1548, 568, 519, 13551, 781, 1858, 2496, 22704, 540, 519, 13551, 1269, 284, 476, 278, 1422, 10383, 1422, 6912, 346, 14065, 348, 815, 476, 6434, 269, 11025, 1422, 3667, 346, 476, 4151, 338, 13645, 4559, 692, 2971, 19247, 1384, 2171, 666, 12337, 585, 2427, 1269, 321, 14204, 20357, 676, 25355, 14497, 692, 259, 346, 320, 8703, 273, 348, 815, 2715, 321, 8703, 273, 348, 1341, 2715, 322, 8703, 273, 10592, 259, 346, 1428, 8703, 273, 348, 815, 2715, 321, 8703, 273, 348, 1341, 2715, 279, 8703, 273, 10592, 259, 346, 321, 8703, 273, 348, 815, 476, 18597, 910, 476, 5038, 6911, 259, 321, 815, 1422, 6912, 346, 14065, 10592, 15253, 1393, 1631, 585, 519, 1858, 540, 519, 13551, 692, 4131, 1269, 343, 815, 476, 278, 259, 581, 519, 3259, 540, 519, 824, 2427, 540, 519, 13551, 692, 22704, 1269, 284, 536, 1422, 10383, 1535, 6911, 22704, 1269, 284, 476, 278, 1422, 10383, 1422, 6912, 346, 14065, 10592, 22704, 1269, 284, 476, 6434, 269, 11025, 6911, 18661, 12196, 2807, 296, 4126, 519, 7778, 568, 3730, 780, 11321, 476, 1839, 267, 476, 1001, 277, 692, 259, 6434, 269, 279, 259, 1269, 340, 562, 1775, 512, 521, 6911, 2971, 19247, 1384, 13706, 519, 6516, 692, 8196, 519, 25355, 11532, 547, 1265, 519, 3259, 540, 1269, 321, 6911, 10233, 263, 19990, 7565, 320, 317, 273, 17070, 317, 273, 284, 322, 317, 273, 692, 8489, 692, 10233, 263, 1042, 7565, 320, 284, 322, 14720, 284, 321, 22698, 30381, 692, 288, 2370, 10539, 256, 9493, 1695, 692, 8855, 899, 713, 692, 763, 4009, 540, 23738, 26664, 540, 513, 1318, 6906, 11224, 519, 2040, 540, 519, 10945, 540, 519, 824, 1079, 5011, 692, 7445, 21375, 2715, 279, 8703, 273, 348, 1341, 2715, 321, 8703, 273, 348, 815, 2715, 1428, 8703, 273, 10592, 7445, 21375, 476, 5038, 1341, 2715, 321, 8703, 273, 348, 815, 476, 18597, 6911, 7445, 21375, 2715, 321, 8703, 273, 348, 815, 476, 18597, 910, 476, 5038, 6911, 7445, 21375, 2715, 321, 8703, 273, 348, 815, 476, 14065, 6911, 7445, 23976, 536, 815, 1422, 6912, 346, 14065, 10592, 3086, 649, 991, 547, 1265, 519, 1858, 540, 519, 13551, 692, 22704, 540, 13551, 692, 10233, 263, 19990, 7565, 331, 265, 321, 1269, 340, 562, 1775, 512, 521, 6911, 259, 331, 815, 561, 2330, 324, 2330, 333, 575, 2330, 339, 2330, 327, 2073, 536, 815, 536, 678, 552, 513, 1422, 9507, 18097, 339, 348, 554, 6911, 8489, 692, 10233, 263, 1042, 7565, 331, 284, 6912, 14065, 14720, 284, 278, 692, 15545, 10233, 263, 13582, 7565, 22704, 284, 278, 6912, 14065, 12527, 6434, 269, 8660 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24280, 519, 24855, 640, 540, 1142, 540, 519, 1739, 3435, 912, 9223, 1384, 24280, 519, 24855, 640, 540, 1142, 540, 519, 1739, 3435, 281, 1109, 5416, 264, 1109, 1789, 575, 540, 3213, 263, 17472, 274, 264, 273, 269, 476, 277, 295, 273, 302, 538, 476, 275, 269, 274, 700, 540, 3070, 1109, 6357, 264, 1109, 1789, 20853, 540, 476, 271, 269, 276, 631, 670, 273, 12569, 275, 1109, 323, 559, 3176, 547, 476, 4335, 20853, 780, 11405, 1384, 300, 6897, 640, 568, 2016, 676, 1384, 300, 6897, 640, 1269, 7807, 2765, 3189, 3667, 2715, 631, 3421, 540, 1151, 1393, 7684, 7346, 3667, 2715, 11730, 540, 3070, 538, 1396, 516, 31998, 6911, 5416, 264, 1109, 300, 6897, 2527, 540, 3213, 630, 17472, 274, 264, 273, 269, 277, 295, 273, 302, 815, 476, 6795, 1341, 476, 273, 630, 1691, 1341, 476, 274, 6398, 476, 1626, 264, 1341, 476, 277, 6398, 476, 1240, 692, 284, 476, 29720, 575, 12387, 6629, 272, 692, 7445, 11004, 1150, 259, 631, 3421, 540, 4399, 9507, 346, 10870, 4153, 3847, 7268, 9507, 346, 17472, 13925, 274, 4153, 2431, 264, 3709, 273, 348, 1422, 10383, 476, 277, 1422, 9507, 346, 295, 13925, 273, 348, 1422, 9507, 346, 302, 18098, 2765, 346, 1789, 2410, 29720, 348, 1422, 9507, 346, 349, 28485, 10592, 284, 476, 271, 269, 9818, 12387, 692, 11997, 267, 24855, 640, 1269, 7807, 2765, 346, 271, 269, 9818, 1422, 9507, 346, 349, 28485, 12453, 275, 269, 274, 1422, 9507, 346, 349, 299, 32556, 284, 476, 271, 269, 271, 2537, 631, 692, 6357, 264, 1109, 10831, 540, 18253, 1459, 538, 476, 1911, 271, 20853, 540, 476, 271, 269, 276, 631, 670, 273, 12569, 275, 1109, 284, 476, 271, 269, 276, 12387, 692, 7445, 11004, 1150, 259, 7089, 540, 18253, 1459, 538, 1269, 1789, 1422, 9507, 346, 349, 332, 299, 4151, 540, 1269, 271, 269, 276, 1422, 9507, 346, 300, 348, 1422, 9507, 346, 295, 13925, 273, 348, 1422, 9507, 346, 12569, 13925, 275, 18098, 2765, 346, 271, 269, 276, 1422, 9392, 476, 1789, 2410, 1911, 271, 348, 1422, 9507, 346, 349, 28485, 10592, 284, 476, 271, 269, 27888, 12387, 692, 11997, 267, 24855, 640, 1269, 7807, 2765, 346, 271, 269, 27888, 2410, 271, 269, 276, 1422, 9507, 346, 349, 299, 3686, 1422, 9507, 346, 349, 28485, 10592, 284, 476, 271, 269, 6734, 631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1677, 3251, 2635, 3006, 3884, 1405, 2352, 269, 5620, 513, 2635, 6197, 269, 898, 781, 519, 1655, 1259, 547, 723, 513, 1434, 6197, 609, 1920, 269, 1879, 707, 1920, 798, 519, 1482, 2534, 267, 596, 666, 9041, 1142, 824, 547, 1832, 2469, 269, 1403, 596, 1118, 707, 1920, 2972, 3257, 3635, 543, 4189, 1072, 1176, 267, 596, 666, 849, 581, 2635, 269, 1879, 596, 979, 10918, 267, 4444, 2635, 1426, 269, 16179, 811, 5388, 543, 4829, 269, 8347, 1114, 5686, 540, 2635, 1426, 543, 2119, 547, 3548, 693, 1753, 1169, 1554, 269, 1809, 1082, 1004, 899, 4189, 856, 585, 1187, 269, 476, 1403, 596, 616, 4189, 856, 267, 2119, 547, 3548, 2635, 1426, 269, 5213, 1405, 1589, 540, 2348, 1426, 607, 513, 1187, 2534, 269, 898, 781, 1434, 585, 721, 547, 798, 1082, 1187, 2238, 1472, 1426, 269, 1280, 1383, 267, 649, 949, 1419, 2743, 938, 2828, 585, 12899, 269, 769, 1249, 267, 972, 616, 1082, 824, 2238, 596, 666, 798, 609, 2828, 269, 1215, 827, 5870, 2828, 585, 513, 5026, 3014, 286, 1411, 666, 3548, 267, 855, 519, 2534, 3085, 1405, 723, 547, 1445, 593, 1426, 269, 18391, 1310, 707, 1072, 1058, 711, 581, 19309, 269, 3399, 1631, 256, 4340, 547, 519, 8574, 267, 1082, 1004, 1419, 476, 9041, 476, 585, 1187, 563, 271, 269, 1404, 3756, 454, 272, 269, 979, 856, 547, 3548, 454, 273, 269, 798, 5026, 454, 274, 269, 1118, 7125, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6904, 8109, 3864, 1286, 20536, 568, 513, 13564, 10706, 540, 11412, 5435, 888, 12585, 281, 667, 3722, 8656, 454, 2704, 328, 1162, 281, 8003, 540, 667, 29716, 267, 11635, 6520, 538, 27597, 267, 667, 25474, 267, 667, 29716, 267, 667, 659, 1014, 10806, 267, 667, 659, 28262, 630, 4364, 8148, 5824, 2262, 1070, 667, 659, 1014, 3557, 267, 667, 659, 1014, 8003, 267, 11635, 6520, 27597, 267, 667, 3722, 8656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5649, 707, 1433, 9170, 267, 593, 1022, 3926, 267, 998, 4414, 306, 3559, 325, 781, 6531, 1759, 552, 5649, 518, 563, 19445, 11872, 543, 5530, 13088, 454, 289, 16742, 2987, 1353, 2645, 1331, 8711, 267, 1353, 10274, 267, 14391, 725, 267, 8847, 267, 15460, 267, 543, 5698, 563, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 1031, 22356, 563, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 9102, 563, 21206, 3883, 19672, 454, 9928, 2714, 781, 654, 11232, 2917, 630, 8687, 275, 1070, 1305, 538, 543, 1472, 519, 15243, 924, 29547, 538, 519, 10430, 540, 476, 14690, 276, 1700, 277, 267, 729, 519, 1101, 3140, 3209, 538, 1158, 3332, 269, 30404, 543, 1480, 324, 538, 922, 4729, 267, 3638, 538, 1514, 1469, 267, 543, 5963, 3486, 538, 8560, 267, 621, 711, 1152, 9250, 513, 9135, 267, 855, 849, 2968, 513, 19506, 538, 5339, 17779, 267, 538, 2351, 25086, 543, 538, 1433, 18522, 269, 769, 713, 1353, 267, 9400, 9966, 874, 9445, 15244, 543, 6589, 585, 519, 1257, 781, 1764, 593, 3140, 5708, 543, 2982, 922, 5169, 1275, 538, 21365, 519, 32032, 2152, 540, 18326, 543, 13137, 267, 3021, 32236, 543, 9769, 267, 14882, 543, 2686, 10892, 269, 1261, 5036, 654, 11232, 2917, 538, 922, 1514, 543, 5339, 2796, 267, 2488, 2143, 2079, 540, 1883, 13980, 540, 519, 1257, 267, 543, 3091, 5583, 593, 2417, 2542, 563, 16085, 1245, 1635, 1475, 23173, 8822, 2160, 4964, 2008, 347, 25835, 338, 1475, 7818, 32180, 15389, 31229, 279, 267, 476, 7818, 32180, 15389, 31229, 279, 267, 476, 4962, 272, 6942, 2568, 276, 311, 267, 476, 7818, 4962, 272, 6942, 2568, 276, 280, 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 ]
[ 0, 1607, 15206, 661, 6369, 4199, 568, 513, 1770, 547, 4001, 519, 3044, 700, 14389, 269, 276, 18502, 590, 15659, 9293, 883, 595, 20975, 267, 799, 568, 782, 827, 3450, 513, 9656, 2875, 547, 4990, 2147, 1913, 883, 6688, 269, 898, 2501, 609, 513, 3018, 17489, 3992, 1544, 1770, 267, 7132, 29433, 7740, 543, 8642, 25696, 269, 634, 2200, 948, 1053, 2259, 11008, 1944, 1913, 267, 971, 607, 5546, 267, 3536, 267, 610, 2831, 563, 265, 2467, 568, 1631, 513, 3059, 5057, 3769, 538, 713, 4199, 269, 8307, 519, 3211, 616, 1631, 2813, 538, 5616, 6215, 1938, 269, 1411, 666, 1205, 1569, 547, 519, 3059, 8747, 593, 2985, 476, 276, 540, 519, 7300, 269, 630, 763, 3992, 4566, 267, 7740, 267, 543, 10526, 616, 711, 25274, 10736, 693, 713, 942, 4700, 20330, 268, 25582, 17489, 7689, 4643, 630, 5976, 2238, 994, 299, 14389, 269, 276, 18502, 268, 23037, 1455, 3615, 883, 6688, 630, 324, 3052, 1421, 5546, 267, 3536, 264, 547, 2744, 513, 2631, 540, 519, 2035, 519, 6688, 2099, 563, 1607, 568, 606, 1367, 1770, 602, 568, 849, 3769, 538, 519, 7335, 5853, 1049, 630, 27184, 264, 10341, 25143, 548, 269, 4855, 1346, 6402, 2630, 952, 596, 1616, 27749, 16674, 5036, 1175, 899, 713, 2336, 1721, 519, 16674, 10341, 25143, 548, 563, 1607, 1770, 568, 849, 3769, 538, 519, 1032, 17489, 661, 6369, 22753, 609, 782, 3670, 11890, 269, 898, 779, 513, 3395, 22753, 267, 2495, 2200, 616, 1869, 1373, 3773, 2429, 519, 1032, 563, 1721, 519, 589, 26270, 268, 17413, 15206, 661, 6369, 25143, 548, 563, 1607, 700, 14389, 269, 276, 18502, 590, 15659, 9293, 883, 595, 20975, 5149, 6718, 568, 585, 835, 2582, 4928, 1152, 563, 2252, 596, 1616, 547, 2671, 609, 824, 13460, 267, 1118, 2386, 547, 4444, 519, 3063, 27121, 1934, 269, 7490, 3346, 803, 585, 513, 3135, 12689, 10839, 693, 4757, 11333, 2593, 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 ]
[ 0, 9223, 281, 2701, 1223, 711, 2322, 519, 3165, 7382, 593, 519, 10689, 3349, 1317, 519, 9041, 729, 1932, 7522, 563, 271, 269, 10689, 3349, 454, 272, 269, 3165, 7382, 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 ]
[ 0, 27855, 519, 1184, 540, 12536, 540, 3940, 538, 7181, 563, 763, 23441, 15374, 540, 519, 7181, 694, 4740, 23441, 10433, 602, 3568, 670, 5141, 543, 605, 523, 10192, 1107, 533, 788, 7562, 4094, 543, 605, 1066, 333, 514, 269, 634, 605, 523, 10405, 533, 788, 7562, 4094, 267, 593, 4598, 547, 670, 5141, 4991, 10736, 883, 519, 3742, 11747, 533, 788, 7562, 267, 519, 2926, 32673, 11747, 540, 7181, 269, 634, 533, 788, 7562, 17838, 5946, 883, 2926, 4680, 543, 17757, 2158, 630, 701, 696, 1938, 1040, 1160, 1066, 333, 514, 568, 1336, 538, 23441, 10433, 540, 12256, 543, 568, 15181, 676, 533, 788, 7562, 883, 3742, 15646, 333, 514, 269, 898, 2337, 538, 12536, 540, 5144, 3940, 2013, 514, 563, 763, 12536, 540, 5946, 5956, 538, 519, 7181, 543, 568, 6192, 538, 519, 1507, 16892, 269, 634, 9667, 10433, 9658, 1540, 538, 519, 23441, 15374, 1459, 593, 519, 7181, 6821, 568, 1572, 23441, 10433, 269, 634, 1426, 602, 13788, 519, 7181, 3587, 15755, 593, 11544, 609, 713, 23441, 10433, 563, 763, 1292, 3334, 540, 23441, 10433, 616, 8652, 18608, 545, 3679, 267, 533, 788, 7562, 4094, 267, 22024, 267, 543, 15646, 333, 514, 269, 31527, 18608, 545, 3679, 4744, 11510, 519, 11353, 540, 1426, 543, 5932, 606, 15755, 5420, 865, 602, 533, 788, 7562, 4094, 568, 10736, 883, 533, 788, 7562, 269, 623, 788, 7562, 568, 513, 3940, 268, 7558, 532, 11747, 269, 898, 568, 9658, 1540, 538, 922, 29680, 1106, 1572, 533, 788, 7562, 4094, 267, 799, 1287, 4991, 15181, 676, 8652, 18608, 545, 3679, 269, 634, 15181, 533, 788, 7562, 1287, 17838, 5946, 883, 2926, 1162, 543, 30902, 454, 305, 3317, 514, 568, 513, 2926, 32673, 11747, 267, 5950, 538, 606, 29680, 1106, 1572, 605, 1066, 333, 514, 269, 681, 3317, 514, 4249, 606, 1271, 1909, 538, 519, 30243, 1637, 540, 5144, 563, 21581, 20861, 338, 1280, 2353, 23527, 454, 268, 6226, 3878, 540, 5253 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 692, 258, 1018, 568, 519, 4009, 3597, 540, 476, 280, 2496, 6343, 568, 519, 4009, 3597, 540, 476, 280, 2496, 2162, 476, 274, 12226, 676, 16869, 570, 12781, 692, 297, 27889, 9445, 918, 269, 1923, 1924, 541, 538, 9119, 1299, 20389, 270, 16898, 270, 3008, 309, 5723, 16721, 910, 5851, 3427, 674, 7037, 256, 3383, 541, 538, 9119, 1299, 20389, 270, 16898, 270, 3008, 309, 5723, 16721, 2483, 275, 269, 280, 476, 275, 269, 280, 630, 4968, 3992, 16863, 264, 630, 4968, 994, 273, 692, 2791, 1152, 991, 547, 2307, 3054, 267, 834, 1432, 1297, 16611, 676, 3294, 786, 2285, 803, 476, 280, 8119, 1411, 786, 9959, 602, 519, 2626, 568, 834, 15200, 610, 14263, 476, 274, 2668, 1109, 5213, 1405, 7340, 519, 834, 2381, 639, 476, 274, 257, 2439, 11990, 11936, 645, 269, 1923, 1284, 782, 666, 1451, 952, 519, 1318, 3693, 568, 538, 938, 3870, 269, 2171, 782, 666, 1451, 952, 519, 1318, 3693, 568, 2483, 272, 454, 10174, 540, 476, 280, 454, 274, 265, 274, 454, 11004, 1150, 972, 568, 835, 6292, 540, 476, 274, 454, 306, 13645, 3597, 540, 513, 3490, 540, 476, 273, 9388, 609, 6292, 2338, 2334, 666, 581, 2789, 3330, 519, 4009, 563, 810, 1317, 972, 616, 476, 273, 476, 274, 781, 267, 602, 6292, 1131, 2097, 856, 519, 3597, 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 ]
[ 0, 5472, 1788, 18747, 1058, 2491, 782, 519, 4397, 2164, 602, 786, 581, 6913, 676, 519, 1788, 269, 3509, 11556, 12043, 3343, 3573, 1344, 593, 2164, 1175, 547, 2327, 602, 519, 1305, 6859, 616, 6707, 6913, 269, 1717, 267, 930, 11556, 12043, 7662, 1312, 17016, 543, 4093, 14384, 563, 19061, 2164, 666, 581, 5258, 883, 1614, 2010, 912, 20479, 338, 616, 1346, 2164, 799, 616, 6913, 5612, 1310, 7598, 606, 2534, 269, 1280, 1383, 267, 952, 649, 616, 12180, 513, 13186, 593, 1480, 2924, 267, 5171, 945, 13984, 621, 723, 1631, 3893, 513, 2312, 1620, 593, 1480, 2924, 2152, 269, 1924, 267, 713, 568, 606, 3977, 519, 1788, 814, 6913, 543, 621, 568, 6913, 1318, 1310, 519, 3932, 540, 519, 13186, 563, 11073, 3699, 666, 581, 2808, 607, 4571, 3856, 2164, 269, 1358, 616, 711, 2938, 5612, 1310, 519, 1439, 540, 519, 1788, 2534, 269, 1809, 1310, 930, 942, 267, 950, 649, 1294, 930, 1689, 693, 519, 2666, 1377, 1317, 540, 519, 1788, 2534, 267, 1287, 621, 666, 581, 17941, 607, 606, 6364, 269, 14171, 519, 1657, 1383, 540, 513, 1480, 2924, 13186, 267, 952, 519, 5171, 723, 3323, 547, 20834, 1125, 741, 2146, 2818, 547, 3343, 741, 1480, 2924, 267, 1287, 621, 568, 606, 6364, 540, 519, 1788, 563, 25842, 568, 2356, 513, 1279, 3856, 1267, 543, 621, 949, 711, 581, 24276, 1256, 1282, 519, 1272, 4783, 540, 519, 1788, 269, 1280, 1383, 267, 952, 519, 2146, 814, 6913, 922, 3804, 540, 3478, 741, 1480, 2924, 6444, 676, 519, 2229, 267, 1287, 621, 568, 606, 1764, 2813, 676, 519, 1788, 1498, 621, 568, 2356, 2938, 1310, 1896, 1296, 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 ]
[ 0, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 4462, 8971, 1540, 1257, 12744, 281, 910, 7069, 2195, 607, 968, 338, 659, 1042, 6386, 1848, 910, 7336, 1622, 3344, 540, 2067, 1158, 269, 910, 294, 16104, 607, 1268, 5874, 269, 910, 310, 11208, 540, 29331, 269, 910, 21809, 826, 540, 28736, 693, 10493, 807, 522, 12984, 835, 540, 519, 5722, 13300, 540, 519, 3504, 1158, 269, 11016, 5181, 476, 280, 267, 476, 1001, 272, 19088, 267, 26499, 267, 543, 28477, 339, 1446, 281, 1548, 519, 4147, 774, 3855, 269, 910, 293, 13083, 339, 1446, 28110, 811, 2509, 1453, 269, 910, 7069, 2195, 267, 5108, 547, 5108, 269, 910, 26765, 1742, 281, 28477, 2145, 525, 811, 827, 1808, 12325, 269, 910, 26765, 1742, 616, 608, 12000, 3130, 540, 519, 5168, 269, 910, 26765, 1742, 811, 827, 3425, 267, 14868, 827, 29331, 269, 910, 26765, 1742, 1522, 1397, 721, 1018, 547, 5299, 269, 910, 7069, 2195, 1522, 1397, 721, 1018, 711, 547, 798, 269, 910, 7069, 2195, 616, 1447, 4756, 982, 12563, 2145, 525, 19601, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 1556, 270, 5400, 270, 1001, 272, 585, 519, 1576, 14160, 19798, 12903, 476, 23470, 6026, 676, 7905, 14173, 322, 3559, 1282, 519, 12096, 1412, 6021, 2165, 693, 772, 22709, 630, 8649, 615, 560, 1916, 268, 12096, 1412, 6021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 674, 22472, 18185, 692, 1012, 4985, 692, 763, 674, 5223, 9498, 568, 513, 1907, 1031, 547, 3313, 519, 674, 5223, 610, 674, 18802, 538, 513, 8579, 2079, 269, 634, 674, 5223, 568, 513, 1871, 1031, 538, 2079, 540, 13065, 630, 3198, 23701, 264, 4255, 267, 799, 616, 1031, 547, 5635, 519, 1797, 540, 1614, 610, 811, 2516, 269, 634, 674, 5223, 568, 7229, 676, 12270, 519, 13065, 1063, 2516, 676, 519, 13065, 1369, 2516, 780, 1012, 16754, 692, 763, 4542, 585, 12719, 519, 674, 5223, 568, 1384, 293, 815, 630, 19702, 766, 1063, 2516, 264, 1315, 630, 19702, 766, 1369, 2516, 2020, 1012, 1215, 547, 946, 674, 22472, 18185, 692, 2414, 946, 519, 674, 5223, 9498, 267, 596, 786, 991, 547, 723, 1239, 585, 519, 1797, 543, 1083, 1734, 540, 519, 2516, 1373, 3379, 269, 9373, 519, 1239, 883, 519, 9498, 543, 621, 786, 1683, 596, 609, 519, 674, 5223, 780, 1012, 6201, 1384, 272, 269, 589, 11001, 568, 9236, 519, 7145, 540, 1614, 1114, 3450, 2409, 593, 2875, 2773, 269, 634, 1611, 1449, 8464, 543, 1083, 1734, 585, 1142, 1895, 616, 607, 5205, 1384, 27026, 476, 272, 281, 1611, 815, 476, 4037, 267, 13065, 815, 476, 1839, 6828, 476, 273, 281, 1611, 815, 476, 3199, 267, 13065, 815, 476, 1789, 6828, 476, 274, 281, 1611, 815, 476, 5952, 267, 13065, 815, 476, 3374, 692, 8794, 519, 674, 5223, 9498, 267, 519, 11001, 21410, 519, 674, 5223, 547, 581, 476, 273, 269, 1704, 780, 273, 269, 1323, 11653, 568, 9236, 519, 4222, 540, 1614, 1114, 2326, 269, 634, 1611, 4222, 543, 1083, 1734, 585, 1142, 1570, 616, 607, 5205, 1384, 300, 1468, 476, 272, 281, 1611, 4222, 815, 476, 1911, 267, 13065, 815, 476, 276, 7698, 476, 273, 281, 1611, 4222, 815, 476, 8099, 267, 13065, 815, 476, 1015, 7698, 476, 274, 281, 1611, 4222, 815, 476, 6344, 267, 13065, 815, 476, 1428, 692, 8794, 519, 674, 5223, 9498, 267, 519, 11653, 21410, 519, 674, 5223, 547, 581, 476, 277, 780, 1012, 10390, 692, 763, 674, 5223, 9498, 568, 513, 3730, 1907, 585, 10647, 30654, 4255, 543, 7421, 1239, 269, 898, 2488, 513, 2656, 543, 2653, 1259, 547, 5173, 519, 674, 5223, 267, 799, 568, 606, 1271, 1871, 538, 8579, 2079, 269, 1635, 1210, 713, 9498, 267, 3173, 543, 19767, 666, 1118, 5483, 3664, 543, 2721, 4977, 8753, 689, 741, 1239, 780, 16665, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1403, 535, 3287, 6661, 18950, 15238, 274, 343, 2580, 834, 476, 271, 283, 343, 27045, 274, 32140, 343, 15238, 274, 2580, 834, 274, 283, 343, 27045, 275, 264, 2433, 9574, 1287, 1929, 318, 263, 868, 334, 274, 264, 325, 3287, 264, 568, 2496, 1012, 634, 2626, 568, 1412, 333, 821, 343, 11962, 8339, 1809, 1946, 286, 1215, 666, 594, 1205, 713, 2626, 1510, 1210, 513, 9498, 2496, 14257, 476, 275, 267, 476, 1001, 279, 692, 21851, 3916, 13925, 343, 1422, 21375, 476, 274, 348, 535, 1422, 3847, 3287, 9368, 7751, 1152, 6818, 952, 12276, 3916, 13925, 343, 1422, 21375, 2715, 274, 8703, 268, 3686, 535, 1422, 3847, 3287, 9368, 7751, 543, 12276, 3916, 13925, 343, 1422, 21375, 2715, 274, 8703, 266, 3686, 535, 1422, 3847, 3287, 9368, 7751, 2291, 543, 616, 519, 1482, 630, 663, 12276, 3916, 13925, 343, 1422, 21375, 476, 274, 348, 535, 1422, 3847, 3287, 9368, 7751, 1131, 581, 519, 1482, 607, 519, 824, 1079, 7182, 6393, 14140, 1265, 519, 835, 21758, 7182, 1384, 1729, 1265, 12276, 3916, 13925, 343, 1422, 21375, 2715, 274, 8703, 268, 3686, 535, 1422, 3847, 3287, 9368, 29408, 1265, 535, 3287, 264, 585, 1535, 268, 11161, 5594, 1447, 982, 476, 274, 269, 596, 1131, 946, 281, 1269, 325, 1422, 3847, 3287, 9368, 264, 815, 1422, 15238, 1422, 3847, 263, 274, 1535, 9368, 29408, 1269, 271, 2999, 1535, 1422, 548, 476, 274, 8961, 2094, 519, 2338, 2887, 538, 602, 6389, 780, 259, 325, 1422, 3847, 263, 273, 269, 280, 9368, 264, 815, 1422, 15238, 1422, 3847, 263, 274, 1422, 10383, 476, 273, 269, 280, 9368, 7751, 454, 259, 325, 1422, 3847, 263, 273, 269, 4200, 9368, 264, 815, 1422, 15238, 1422, 3847, 263, 274, 1422, 10383, 476, 273, 269, 4200, 9368, 7751, 454, 259, 325, 1422, 3847, 263, 273, 269, 15886, 9368, 264, 815, 1422, 15238, 1422, 3847, 263, 274, 1422, 10383, 476, 273, 269, 15886, 9368, 22491, 9767, 666, 1294, 513, 4806, 267, 543, 1384, 21851, 3916, 13925, 343, 1422, 21375, 2715, 274, 8703, 268, 3686, 535, 1422, 3847, 3287, 9368, 264, 815, 1422, 15238, 1422, 3847, 263, 280, 9368, 22491, 1729, 1265, 12276, 3916, 13925, 343, 1422, 21375, 2715, 274, 8703, 266, 3686, 535, 1422, 3847, 3287, 9368, 29408, 1265, 535, 3287, 264, 585, 1535, 268, 11161, 5594, 811, 982, 476, 274, 269, 596, 1131, 946, 281, 1269, 325, 1422, 3847, 3287, 9368, 264, 815, 1535, 1422, 15238, 476, 274, 8961, 1269, 274, 2999, 1535, 1422, 548, 476, 275, 8961, 2094, 519, 2338, 2887, 538, 602, 6389, 780, 259, 325, 1422, 3847, 263, 274, 269, 272, 9368, 264, 815, 476, 274, 269, 272, 1422, 10383, 1422, 15238, 476, 274, 14204, 259, 325, 1422, 3847, 263, 274, 269, 4905, 9368, 264, 815, 476, 274, 269, 4905, 1422, 10383, 1422, 15238, 476, 274, 14204, 259, 325, 1422, 3847, 263, 274, 269, 9826, 9368, 264, 815, 476, 274, 269, 9826, 1422, 10383, 1422, 15238, 476, 274, 6911, 9767, 666, 1294, 513, 4806, 267, 543, 1384, 21851, 3916, 13925, 343, 1422, 21375, 2715, 274, 8703, 266, 3686, 535, 1422, 3847, 3287, 9368, 264, 815, 476, 274, 1422, 10383, 1422, 15238, 1422, 3847, 263, 274, 9368, 22491, 7445, 15238, 1422, 3847, 263, 280, 9368, 264, 1422, 928, 476, 274, 1422, 10383, 1422, 15238, 1422, 3847, 263, 274, 9368, 29408, 799, 596, 666, 2638, 609, 519, 30233, 1379, 4341, 780, 26238, 519, 2451, 543, 1318, 521, 3660, 7182, 616, 21376, 267, 12276, 3916, 13925, 343, 1422, 21375, 476, 274, 348, 535, 1422, 3847, 3287, 9368, 7751, 1281, 711, 2291, 692, 514, 519, 3113, 540, 1269, 325, 1422, 3847, 3287, 9368, 29408, 972, 568, 513, 7914, 19944, 8462, 693, 1269, 343, 815, 476, 274, 8961, 2495, 972, 568, 1100, 3970 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 12944, 454, 19688, 476, 1789, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 2979, 692, 16829, 676, 524, 339, 332, 528, 5142, 593, 13723, 267, 5239, 476, 1556, 267, 476, 1220, 277, 693, 476, 278, 281, 6078, 10975, 780, 288, 1007, 21400, 10733, 814, 1044, 2919, 602, 568, 5363, 547, 1346, 945, 1616, 547, 3247, 7296, 269, 1403, 476, 2568, 2600, 540, 1346, 1004, 21400, 519, 10733, 616, 3811, 538, 16069, 7296, 267, 1018, 568, 519, 5506, 602, 538, 513, 1895, 540, 2185, 21596, 1210, 519, 10733, 693, 2547, 835, 844, 1080, 7296, 2496, 763, 1152, 4999, 602, 1131, 711, 1331, 693, 2547, 835, 1268, 1373, 3811, 568, 952, 782, 616, 711, 3811, 269, 1403, 789, 723, 513, 1547, 277, 1967, 2557, 267, 972, 568, 513, 1547, 275, 5821, 2557, 269, 5221, 782, 17831, 1039, 909, 547, 476, 272, 269, 876, 780, 303, 9638, 3205, 476, 272, 5821, 264, 543, 623, 9638, 3205, 476, 273, 5821, 264, 543, 623, 9638, 3205, 476, 274, 5821, 264, 543, 623, 9638, 3205, 476, 275, 5821, 2020, 4517, 538, 5506, 1797, 547, 9062, 269, 1548, 798, 649, 798, 609, 713, 12482, 763, 5506, 540, 693, 2547, 835, 29655, 7296, 568, 3160, 547, 476, 272, 3491, 321, 263, 718, 7296, 2020, 7468, 263, 718, 7296, 6661, 269, 275, 317, 275, 454, 7468, 263, 520, 2547, 835, 29655, 7296, 6661, 272, 268, 269, 275, 317, 275, 454, 284, 3152, 982, 476, 9834, 2600, 630, 9767, 798, 519, 9819, 2020, 271, 269, 10441, 14917, 277, 692, 1012, 8382, 901, 7726, 692, 3689, 8745, 281, 3427, 13595, 281, 8382, 1384, 1012, 13565, 5999, 692, 5415, 13565, 5999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2290, 328, 14347, 568, 519, 1353, 540, 1018, 888, 12585, 281, 14134, 338, 454, 2704, 328, 1162, 281, 14134, 11291, 267, 14134, 1604, 267, 27096, 344, 540, 9909, 267, 14134, 3697, 267, 31687, 1597, 267, 1546, 4461, 267, 14134, 267, 14134, 338, 267, 7822, 5326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 299, 3869, 540, 18190, 8535, 454, 29394, 281, 6341, 25016, 454, 763, 18190, 1974, 4718, 513, 3376, 5114, 1996, 519, 30305, 10848, 540, 25724, 2575, 543, 3366, 547, 513, 12863, 2078, 1063, 23260, 543, 10103, 269, 898, 729, 513, 7574, 2511, 602, 10630, 519, 4571, 268, 1240, 628, 2540, 781, 9962, 15131, 585, 2847, 1516, 519, 2973, 267, 1134, 268, 23912, 3889, 540, 5259, 5929, 1143, 2066, 519, 6575, 269, 634, 32316, 9450, 538, 2450, 267, 3574, 13388, 2968, 513, 1582, 8410, 22633, 3296, 543, 519, 3771, 1186, 747, 867, 729, 5051, 19774, 676, 519, 5063, 11827, 6830, 788, 10730, 269, 19639, 11365, 2575, 13856, 267, 16113, 1623, 21620, 543, 5569, 14415, 564, 267, 609, 1806, 540, 1312, 22204, 6719, 1934, 538, 476, 3583, 14440, 12417, 269, 7324, 519, 1082, 25803, 4171, 960, 568, 3769, 616, 595, 10422, 9950, 269, 29732, 267, 808, 5861, 269, 29732, 267, 2142, 29348, 267, 595, 2211, 328, 267, 595, 345, 1716, 344, 267, 3794, 3089, 267, 15917, 323, 333, 267, 9966, 17745, 267, 20787, 691, 543, 32544, 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 ]
[ 0, 8080, 547, 24135, 12960, 1284, 3058, 2439, 5970, 596, 2479, 2938, 1346, 4190, 267, 10477, 4773, 540, 1148, 16304, 909, 593, 6821, 286, 1358, 1522, 723, 1044, 7148, 652, 1845, 256, 589, 13795, 568, 513, 1826, 540, 5958, 1148, 1141, 1004, 15827, 5961, 543, 3270, 883, 12308, 1210, 20612, 610, 8142, 269, 901, 4739, 814, 1044, 1472, 585, 5215, 540, 1296, 267, 543, 1004, 1869, 2648, 1818, 543, 10655, 873, 2221, 269, 9462, 356, 370, 27077, 357, 692, 3086, 267, 1577, 781, 4685, 883, 519, 1158, 540, 13795, 22805, 2439, 2162, 1548, 1772, 24135, 12960, 1284, 3058, 286, 29836, 498, 692, 5331, 2348, 513, 2462, 3138, 558, 630, 320, 7406, 1031, 547, 15827, 17234, 264, 609, 6266, 540, 12673, 21401, 17401, 2066, 621, 269, 3767, 267, 3079, 540, 1175, 2870, 10750, 5958, 267, 596, 946, 11954, 16060, 547, 15827, 6946, 6272, 267, 5546, 267, 543, 1256, 2984, 1318, 883, 519, 1570, 256, 2334, 781, 1018, 2306, 13795, 22805, 865, 2027, 269, 1411, 666, 1711, 10875, 23877, 676, 5402, 8939, 4778, 543, 25786, 519, 4806, 607, 596, 979, 2059, 780, 2080, 781, 513, 1187, 1249, 281, 4438, 10120, 2053, 267, 15438, 543, 30842, 6068, 7148, 652, 1845, 1317, 789, 941, 1312, 4190, 543, 6198, 269, 3502, 1152, 1705, 891, 25704, 6505, 523, 909, 741, 28151, 267, 855, 789, 849, 5280, 1832, 3636, 1282, 4411, 24475, 256, 9462, 493, 364, 6930, 498, 354, 692, 2162, 15775, 29035, 2060, 2659, 13574, 24135, 12960, 9462, 494, 485, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 547, 9931, 5463, 528, 1280, 12389, 18740, 912, 288, 2713, 4055, 568, 513, 2189, 543, 12947, 23341, 2230, 538, 2413, 2777, 9703, 1374, 282, 621, 568, 4122, 2966, 585, 1964, 267, 1514, 1944, 267, 543, 18399, 269, 898, 568, 1419, 7677, 1639, 609, 635, 325, 344, 27939, 267, 1927, 609, 865, 325, 553, 543, 23107, 267, 543, 7207, 2609, 899, 513, 6995, 11380, 267, 7641, 267, 543, 3818, 11546, 14585, 547, 1711, 513, 22205, 543, 6899, 1604, 585, 7264, 543, 14538, 563, 310, 718, 7718, 585, 2713, 4055, 4016, 547, 519, 3309, 16560, 2609, 543, 17960, 602, 616, 2322, 593, 519, 6821, 540, 713, 2230, 607, 18789, 1753, 7718, 269, 1452, 19269, 616, 9277, 547, 30164, 519, 4055, 779, 12716, 17134, 656, 618, 267, 21613, 519, 1753, 26782, 779, 2123, 2511, 267, 543, 1711, 513, 8799, 543, 18136, 5790, 269, 9931, 7718, 585, 519, 5373, 4055, 666, 7854, 606, 3573, 2039, 540, 19269, 267, 1519, 11247, 267, 10367, 267, 19141, 267, 19970, 1115, 267, 3774, 8440, 267, 543, 1114, 16560, 19269, 267, 782, 540, 799, 3565, 547, 519, 2949, 1413, 543, 1995, 540, 519, 10694, 2713, 4055, 9703, 1374, 563, 1103, 713, 2768, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 777, 12960, 1284, 3058, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 4937, 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 ]
[ 0, 4495, 1153, 8694, 585, 519, 1554, 267, 645, 1115, 344, 543, 1200, 2828, 10356, 538, 741, 8912, 5544, 693, 519, 6288, 269, 1358, 6068, 4687, 2984, 827, 741, 2729, 267, 28617, 1927, 267, 543, 5356, 1489, 1282, 9157, 2053, 269, 2201, 713, 1880, 12784, 267, 645, 1115, 344, 8604, 11397, 543, 9602, 269, 4173, 2828, 8068, 1200, 7099, 855, 4769, 1405, 1616, 547, 533, 787, 1318, 2476, 780, 7661, 267, 1310, 930, 942, 1185, 5293, 267, 23183, 4280, 267, 834, 289, 1115, 344, 267, 1018, 781, 2469, 593, 286, 1411, 3100, 13347, 3010, 289, 1115, 344, 11688, 18469, 1354, 14775, 267, 834, 296, 1745, 1862, 10969, 730, 269, 594, 6594, 865, 2182, 585, 1250, 2257, 1449, 267, 543, 594, 1869, 8959, 621, 3765, 518, 2406, 1701, 2701, 521, 19042, 8185, 267, 3168, 1524, 4751, 780, 15463, 3659, 8861, 15527, 1623, 6312, 24312, 267, 834, 17764, 1100, 256, 2334, 1590, 2731, 10413, 267, 6236, 875, 1454, 4674, 596, 2322, 883, 4974, 3010, 300, 807, 21330, 538, 6876, 267, 1287, 3773, 267, 834, 3719, 3314, 267, 1175, 1317, 596, 4769, 1405, 798, 1134, 593, 713, 835, 1449, 3085, 1405, 1611, 596, 2811, 711, 5100, 610, 5827, 269, 9320, 972, 729, 1945, 1808, 827, 519, 1449, 602, 1500, 621, 2352, 585, 596, 12482, 289, 1115, 344, 2219, 585, 513, 4090, 543, 1287, 3838, 267, 834, 3086, 602, 596, 2446, 621, 267, 1034, 540, 519, 2055, 941, 3498, 2861, 267, 799, 3884, 1405, 1250, 16999, 9290, 269, 1656, 594, 10443, 856, 540, 942, 2509, 519, 1439, 3010, 27880, 6700, 267, 834, 11039, 267, 6148, 596, 1223, 1445, 811, 593, 8026, 1346, 2010, 540, 2042, 3056, 909, 547, 707, 1985, 1449, 269, 898, 1522, 948, 2087, 707, 1620, 543, 3432, 15323, 30342, 15260, 3293, 676, 1200, 2828, 262, 19015, 543, 5796, 267, 645, 1115, 344, 20493, 4617, 569, 269, 834, 31800, 1695, 267, 594, 7058, 596, 2811, 1318, 269, 8729, 585, 1750, 1359, 803, 909, 267, 16921, 3010, 5804, 713, 5872, 267, 789, 4121, 3407, 4245, 827, 6043, 267, 1582, 26190, 267, 543, 5275, 1489, 689, 1866, 950, 6849, 14488, 269, 3958, 267, 1247, 519, 4808, 5018, 602, 4664, 6140, 31030, 593, 740, 18690, 267, 645, 1115, 344, 781, 3510, 7152, 602, 2796, 10881, 543, 4282, 1344, 666, 849, 1404, 2629, 5107, 538, 8159, 2576, 781, 3929, 1533, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 14240, 281, 634, 3403, 568, 513, 4845, 269, 634, 4845, 2882, 606, 7553, 269, 634, 3804, 540, 519, 4305, 568, 547, 19665, 519, 7553, 538, 519, 4845, 547, 835, 540, 519, 5049, 281, 1412, 325, 792, 3299, 1412, 2809, 3299, 1412, 9734, 3299, 1412, 338, 611, 1145, 8339, 634, 7553, 5631, 5673, 593, 519, 30163, 1369, 519, 4845, 563, 19152, 281, 645, 1115, 344, 7959, 10969, 730, 563, 20479, 912, 307, 2532, 19247, 912, 272, 269, 3367, 519, 3403, 4845, 563, 273, 269, 10576, 519, 7553, 6829, 538, 519, 4845, 563, 274, 269, 14419, 519, 3617, 7553, 1362, 18011, 325, 792, 3299, 1412, 2809, 3299, 1412, 9734, 3299, 610, 1412, 338, 611, 1145, 10807, 1759, 593, 519, 30163, 1459, 538, 519, 4845, 563, 275, 269, 17776, 519, 7553, 1362, 607, 3977, 780, 21980, 3894, 912, 268, 634, 7553, 5631, 5673, 593, 519, 30163, 1369, 519, 4845, 780, 3721, 476, 272, 281, 3367, 519, 3403, 4845, 563, 268, 834, 289, 1115, 344, 7959, 10969, 730, 3010, 3721, 476, 273, 281, 10576, 519, 7553, 6829, 538, 519, 4845, 563, 268, 634, 7553, 2262, 538, 519, 4845, 568, 834, 22563, 770, 730, 3010, 3721, 476, 274, 281, 14419, 519, 3617, 7553, 1362, 1759, 593, 519, 30163, 1459, 538, 519, 4845, 563, 268, 634, 2016, 23988, 6920, 602, 519, 7553, 5631, 5673, 593, 519, 30163, 1369, 519, 4845, 563, 268, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 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 ]
[ 0, 10403, 1744, 13616, 17726, 538, 22878, 5850, 267, 1215, 1281, 9505, 614, 3432, 1860, 513, 8666, 888, 22546, 540, 1744, 13616, 17726, 593, 16071, 454, 763, 3476, 519, 9505, 614, 3432, 267, 519, 811, 1769, 16716, 519, 9300, 267, 4611, 538, 513, 17321, 3239, 269, 1656, 519, 5488, 519, 9505, 614, 3432, 267, 519, 1447, 1769, 10301, 519, 9300, 267, 4611, 538, 513, 18632, 3239, 269, 14755, 21386, 267, 9505, 614, 3432, 849, 8060, 875, 5163, 568, 9676, 538, 707, 8666, 32289, 798, 596, 2491, 9505, 614, 3432, 888, 4537, 13616, 3432, 3274, 4016, 547, 519, 2179, 540, 942, 602, 519, 8254, 781, 9505, 614, 568, 1930, 269, 634, 3476, 519, 9505, 614, 568, 1930, 267, 519, 811, 1769, 602, 10596, 998, 547, 519, 8254, 781, 9300, 269, 17957, 267, 519, 10156, 519, 9505, 614, 568, 1930, 267, 519, 1447, 1769, 602, 781, 2111, 547, 1780, 998, 269, 3674, 2362, 9505, 614, 3432, 1732, 888, 4415, 2362, 9505, 614, 3432, 267, 519, 1447, 942, 596, 4734, 707, 9505, 614, 1930, 543, 519, 1447, 568, 6534, 547, 1769, 269, 769, 2489, 267, 2362, 9505, 614, 11250, 616, 1732, 585, 24817, 10344, 267, 6466, 2539, 9505, 614, 11250, 616, 1732, 585, 30148, 6337, 23130, 568, 606, 1383, 540, 513, 3728, 9505, 614, 3432, 888, 763, 15864, 1259, 547, 3247, 8254, 21199, 568, 547, 3274, 946, 513, 3728, 9505, 614, 3432, 269, 1280, 1383, 267, 15246, 693, 476, 272, 270, 6110, 271, 540, 513, 2034, 568, 865, 3728, 602, 707, 1688, 3274, 3085, 1405, 723, 2614, 942, 547, 12152, 1076, 1454, 1354, 519, 8666, 568, 2944, 1373, 6592, 23130, 568, 519, 1655, 9505, 614, 3432, 888, 2026, 513, 4341, 540, 14853, 267, 707, 9505, 614, 3432, 1058, 711, 9765, 707, 7828, 262, 17122, 3259, 950, 596, 616, 15246, 1688, 18988, 269, 1280, 1383, 267, 952, 596, 616, 15246, 609, 513, 476, 1220, 7825, 7828, 267, 707, 9505, 614, 3432, 1058, 581, 476, 272, 270, 1220, 628, 540, 513, 2034, 610, 5488, 547, 3132, 513, 8325, 3239, 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 ]
[ 0, 8080, 547, 938, 1576, 1770, 593, 834, 763, 19196, 1746, 2622, 540, 5680, 5395, 951, 10590, 5620, 596, 2479, 9289, 875, 7270, 1439, 909, 593, 707, 2780, 950, 596, 1826, 538, 741, 2232, 286, 4270, 267, 621, 781, 782, 7064, 547, 1945, 1572, 513, 1357, 7746, 256, 589, 1357, 7746, 568, 899, 513, 855, 2401, 585, 519, 4950, 910, 621, 3217, 13668, 689, 7218, 630, 7474, 781, 596, 14386, 543, 5713, 873, 519, 3896, 789, 4280, 585, 780, 3086, 267, 4952, 596, 2811, 18530, 513, 2462, 5428, 693, 707, 2777, 269, 1411, 1616, 547, 1118, 2386, 3025, 814, 513, 1390, 942, 267, 865, 596, 16926, 930, 855, 6840, 547, 948, 856, 269, 1809, 1018, 952, 835, 855, 2401, 568, 14887, 982, 519, 1866, 286, 2107, 1018, 952, 835, 855, 2401, 666, 4163, 811, 911, 903, 540, 1426, 693, 2899, 286, 3807, 899, 609, 855, 6840, 267, 1114, 1357, 13763, 723, 1114, 9342, 543, 12755, 780, 3080, 2442, 1357, 7746, 568, 1572, 700, 924, 11854, 539, 269, 898, 781, 1634, 585, 1373, 3728, 543, 3608, 267, 799, 1797, 602, 950, 596, 2307, 621, 585, 513, 3896, 267, 621, 666, 2285, 621, 547, 596, 2706, 3533, 256, 901, 568, 1271, 1317, 18864, 15055, 7996, 1472, 585, 513, 3500, 3896, 547, 4452, 269, 9578, 267, 513, 5488, 3896, 666, 1256, 2087, 707, 1870, 1107, 1589, 827, 875, 1454, 811, 2693, 596, 616, 547, 3251, 593, 513, 3135, 602, 13907, 1318, 2476, 8957, 835, 602, 3217, 11014, 780, 3719, 1256, 519, 1655, 1357, 13763, 991, 5826, 543, 10311, 547, 1832, 4881, 12347, 269, 2334, 781, 1946, 3549, 899, 700, 924, 11854, 539, 16370, 2291, 1107, 789, 1711, 543, 1489, 1357, 13763, 547, 1118, 2386, 519, 4950, 8255, 607, 12347, 607, 2009, 269, 1656, 1175, 899, 875, 596, 1131, 1491, 1416, 540, 707, 855, 6840, 676, 4758, 873, 9397, 543, 1818, 2386, 789, 723, 2614, 7727, 267, 891, 3549, 991, 547, 7683, 6895, 543, 9337, 741, 1357, 13763, 780, 3383, 1985, 942, 596, 2811, 19855, 519, 1357, 267, 1491, 513, 4090, 547, 5660, 519, 2182, 11529, 1357, 13763, 3297, 519, 10207, 267, 1818, 2386, 596, 1205, 519, 1344, 596, 991, 607, 3533, 607, 2009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 3331, 506, 321, 31258, 321, 1276, 3204, 601, 2426, 4614, 1013, 1731, 281, 918, 20199, 27528, 267, 3525, 749, 454, 16838, 7691, 676, 700, 924, 11854, 539, 5680, 18218, 8923, 2992, 10630, 602, 700, 924, 11854, 539, 16370, 5549, 269, 1411, 4647, 3331, 506, 321, 31258, 321, 1276, 3204, 601, 2426, 4614, 1013, 1731, 281, 918, 20199, 27528, 267, 1110, 749, 2707, 4422, 1022, 581, 256, 2659, 5470, 1185, 606, 5837, 20300, 7626, 269, 634, 7415, 1858, 729, 1247, 519, 5680, 2333, 729, 25947, 707, 1870, 269, 7490, 2328, 721, 952, 596, 6999, 713, 4016, 513, 3388, 1259, 269, 1396, 17790, 4647, 3331, 506, 321, 31258, 321, 1276, 6178, 263, 11310, 829, 476, 275, 263, 274, 22352, 263, 4376, 540, 2634, 1646, 829, 4908, 13766, 263, 3346, 540, 4398, 10748, 3218, 3194, 263, 13483, 269, 476, 1001, 272, 623, 13048, 1646, 2474, 267, 7954, 12618, 263, 22356, 540, 1382, 1788, 7662, 263, 13483, 269, 476, 276, 3310, 3069, 267, 2671, 1644, 547, 1983, 795, 27458, 14959, 960, 1353, 263, 10554, 540, 5769, 2835, 263, 2362, 1070, 3609, 1434, 538, 1913, 1141, 1072, 6770, 1287, 476, 276, 2474, 263, 2012, 540, 2034, 2344, 8884, 538, 3790, 263, 2104, 540, 1906, 4396, 533, 269, 6388, 263, 1604, 540, 5499, 4661, 566, 13267, 661, 17269, 6224, 630, 6219, 540, 7059, 16508, 7746, 476, 3451, 263, 273, 4285, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 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 ]
[ 0, 6637, 5565, 281, 7305, 540, 12937, 454, 13563, 9177, 543, 1977, 16844, 281, 1215, 568, 707, 1378, 2528, 2147, 547, 543, 1114, 689, 519, 2199, 610, 3077, 2528, 888, 32091, 25595, 281, 595, 2255, 909, 609, 3967, 538, 513, 4484, 2854, 547, 1200, 3659, 25595, 563, 763, 12085, 1284, 17166, 281, 1548, 7215, 798, 1004, 946, 538, 4948, 7391, 888, 763, 12085, 1284, 17166, 3487, 5565, 281, 1548, 798, 3984, 2197, 7215, 7866, 827, 3984, 2197, 2418, 543, 4978, 888, 1320, 597, 10117, 8836, 595, 20975, 281, 14424, 519, 6093, 1977, 2990, 593, 24369, 3344, 540, 2528, 609, 602, 540, 707, 3984, 2197, 563, 1320, 9722, 6168, 3733, 16763, 281, 6258, 547, 5431, 2686, 3604, 3238, 538, 3257, 707, 2816, 563, 306, 1545, 540, 1977, 9177, 281, 1234, 1410, 8533, 930, 540, 519, 1977, 2418, 596, 723, 4857, 3976, 2484, 563, 1692, 6348, 31787, 6423, 4892, 281, 1215, 616, 4892, 9228, 676, 1004, 689, 824, 4529, 888, 1692, 6348, 31787, 6423, 4892, 3487, 5565, 281, 6904, 7907, 689, 3487, 2290, 1131, 513, 21118, 13474, 2817, 12314, 609, 4892, 888, 13981, 6168, 3013, 281, 1548, 723, 596, 2097, 547, 1174, 827, 1977, 2528, 888, 3086, 1548, 286, 281, 1548, 2027, 2152, 723, 13458, 17620, 21816, 32580, 5185, 888, 4002, 9861, 7756, 281, 1879, 723, 596, 1185, 547, 4188, 707, 2623, 547, 3514, 538, 609, 3984, 2197, 4182, 1023, 888, 8512, 532, 31876, 281, 1548, 723, 596, 4121, 827, 1977, 2528, 538, 713, 3184, 888, 11328, 1613, 2060, 513, 7193, 309, 281, 3367, 513, 1101, 11804, 2272, 540, 2686, 21939, 563, 32091, 25595, 268, 1323, 5811, 281, 3367, 3967, 781, 4484, 1586, 267, 5329, 538, 2247, 519, 1007, 1919, 596, 723, 4121, 827, 2528, 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 ]
[ 0, 634, 4055, 729, 5394, 609, 8082, 607, 12756, 267, 513, 3791, 22831, 16027, 267, 2893, 2066, 689, 20844, 267, 1200, 1870, 7649, 543, 1279, 5503, 3659, 269, 4256, 8912, 7333, 614, 1185, 1044, 8719, 676, 606, 11552, 6470, 16563, 267, 7745, 1152, 676, 519, 17573, 804, 1074, 540, 4672, 1996, 4837, 780, 300, 7559, 3576, 513, 2620, 7362, 1354, 6340, 269, 968, 297, 10224, 267, 649, 723, 547, 2911, 827, 713, 269, 3776, 2757, 8105, 2853, 616, 1100, 3476, 2614, 269, 1284, 991, 547, 3082, 952, 649, 1616, 938, 3484, 547, 7639, 14325, 297, 10224, 521, 19042, 8185, 267, 2220, 26325, 1010, 22090, 4486, 1472, 538, 922, 512, 3518, 2401, 269, 968, 296, 917, 267, 594, 917, 269, 1809, 1018, 666, 649, 798, 286, 1284, 4312, 2141, 2944, 1919, 713, 1259, 269, 1656, 16310, 267, 945, 3081, 1004, 1256, 1616, 891, 2048, 11794, 8730, 1412, 16955, 3299, 543, 1412, 338, 20980, 262, 3681, 596, 1832, 6158, 827, 9495, 692, 300, 7559, 10709, 539, 4464, 267, 4064, 1025, 5074, 609, 24235, 269, 968, 10144, 1416, 811, 982, 2479, 827, 1141, 741, 1426, 2501, 689, 543, 875, 621, 5222, 519, 1604, 269, 1358, 2811, 8348, 547, 2628, 513, 14167, 585, 19100, 21433, 3132, 269, 5213, 1405, 596, 1294, 286, 898, 781, 711, 1175, 827, 17005, 15042, 1107, 621, 781, 827, 14762, 256, 10640, 288, 1474, 828, 4082, 18084, 20844, 781, 3068, 269, 968, 3719, 1018, 1281, 782, 713, 1611, 585, 721, 267, 12756, 286, 1280, 938, 2146, 286, 3657, 649, 4712, 547, 14526, 593, 513, 2518, 4336, 286, 1677, 7654, 6336, 3388, 649, 3180, 15210, 9495, 692, 2304, 13943, 23249, 12306, 1063, 873, 607, 789, 14719, 730, 519, 9588, 540, 1689, 3138, 4040, 6619, 269, 7053, 267, 12756, 13264, 519, 16563, 269, 968, 2171, 949, 711, 723, 782, 519, 4267, 1318, 1631, 267, 855, 649, 28297, 621, 547, 6000, 543, 2104, 5481, 547, 2119, 269, 2913, 781, 960, 1927, 543, 1265, 513, 2619, 4464, 1765, 821, 602, 26549, 938, 6561, 1247, 8508, 519, 19178, 540, 2221, 781, 10562, 1158, 3010, 2026, 789, 4797, 7234, 1761, 2994, 3735, 883, 519, 3781, 267, 1312, 6785, 602, 519, 4155, 6619, 1131, 581, 9808, 9853, 609, 2591, 269, 1717, 267, 23185, 676, 8990, 543, 11461, 676, 8994, 2463, 267, 789, 17251, 547, 6330, 519, 1950, 7297, 540, 2413, 6683, 1927, 267, 20678, 547, 10880, 513, 10347, 3666, 1063, 8497, 2245, 543, 15268, 547, 519, 7569, 540, 513, 6385, 4657, 2518, 19458, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 14051, 4299, 519, 6683, 2872, 888, 17471, 1436, 814, 3648, 4299, 519, 6683, 2872, 538, 519, 1739, 2081, 1384, 272, 269, 16842, 6735, 281, 32501, 814, 3366, 547, 519, 6679, 909, 540, 6990, 2066, 519, 1158, 267, 4611, 538, 2799, 6735, 585, 6705, 269, 901, 6735, 666, 581, 689, 824, 6705, 267, 12725, 1790, 22004, 2472, 610, 16865, 2472, 780, 273, 269, 15448, 538, 7082, 3747, 281, 2060, 14051, 267, 972, 568, 513, 6521, 538, 7082, 3747, 2509, 8902, 267, 811, 5214, 267, 543, 811, 4264, 2472, 269, 901, 6521, 538, 3747, 814, 3366, 547, 519, 1646, 540, 1007, 7031, 267, 543, 2242, 538, 8105, 2409, 780, 274, 269, 7457, 547, 1007, 6990, 281, 32501, 814, 8118, 909, 1007, 6990, 585, 6705, 267, 3850, 873, 547, 6133, 741, 2472, 18368, 269, 26478, 666, 1631, 1569, 3677, 6990, 267, 799, 666, 581, 6225, 585, 741, 4213, 3246, 789, 2743, 519, 2298, 543, 3106, 4441, 2838, 780, 275, 269, 4934, 338, 25703, 540, 6683, 2504, 281, 769, 930, 2477, 267, 1970, 4074, 543, 2825, 524, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 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 ]
[ 0, 19968, 6713, 5004, 630, 289, 15014, 264, 4016, 547, 519, 12957, 540, 1896, 1870, 3157, 269, 4179, 2517, 335, 599, 324, 1078, 2593, 270, 574, 921, 7695, 268, 1598, 1538, 344, 2275, 534, 25298, 21553, 2889, 557, 7308, 13716, 4369, 6361, 1532, 10975, 2987, 16951, 2510, 270, 898, 14014, 513, 2647, 2039, 540, 3527, 602, 27167, 3375, 6194, 267, 12180, 267, 11056, 267, 543, 5464, 269, 1452, 5686, 540, 2238, 616, 1419, 9286, 538, 547, 1114, 6688, 267, 971, 607, 1646, 267, 3761, 5311, 2359, 267, 1427, 9430, 267, 8804, 267, 543, 1480, 2200, 269, 645, 15014, 3435, 616, 1373, 1031, 538, 891, 6688, 547, 2087, 7607, 543, 7413, 3790, 563, 763, 3844, 2609, 540, 513, 645, 15014, 4480, 616, 519, 1870, 3652, 610, 3889, 267, 519, 1870, 13055, 1184, 2010, 267, 519, 1239, 547, 1831, 9268, 267, 7132, 519, 1870, 14573, 547, 581, 12290, 269, 1452, 616, 24673, 7311, 4359, 4066, 267, 971, 607, 1702, 2359, 267, 1239, 14839, 267, 543, 1870, 4987, 630, 10292, 1040, 589, 3811, 645, 15014, 4640, 786, 991, 547, 1118, 946, 540, 782, 540, 891, 2609, 547, 581, 2111, 547, 17589, 835, 540, 519, 1034, 6099, 4093, 269, 634, 4485, 1500, 946, 540, 3274, 676, 1114, 10909, 1689, 267, 855, 723, 519, 835, 3364, 538, 1455, 281, 602, 789, 2832, 585, 1732, 5610, 1063, 1870, 3652, 543, 519, 1114, 1870, 4238, 563, 1607, 5610, 568, 1500, 2009, 676, 1818, 946, 540, 1585, 2409, 267, 971, 607, 1871, 6908, 11837, 267, 6198, 17883, 267, 543, 4324, 6908, 12760, 269, 1452, 2553, 11863, 3906, 547, 556, 4650, 543, 19597, 622, 3919, 3157, 267, 543, 3976, 267, 2569, 3790, 543, 2333, 10342, 269, 645, 15014, 607, 1134, 3322, 1210, 2298, 1852, 543, 6454, 3800, 269, 5272, 835, 540, 891, 616, 2322, 1927, 538, 513, 3573, 4640, 547, 1118, 1978, 519, 1967, 540, 1022, 3919, 267, 8726, 519, 2470, 540, 922, 1870, 3157, 269, 901, 8671, 545, 666, 948, 547, 1711, 10721, 3356, 543, 1646, 267, 543, 7551, 2087, 2298, 267, 6556, 8273, 12434, 267, 543, 2333, 1870, 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 ]
[ 0, 258, 1215, 798, 596, 14458, 630, 476, 278, 343, 317, 273, 1341, 476, 276, 343, 910, 278, 3738, 1341, 630, 1535, 317, 273, 910, 274, 343, 1341, 476, 276, 3738, 2496, 13202, 476, 279, 267, 476, 1001, 277, 692, 2971, 19247, 1384, 263, 259, 278, 2715, 343, 8703, 273, 4151, 1341, 476, 276, 343, 910, 476, 278, 264, 1341, 18121, 346, 343, 8703, 273, 4151, 910, 476, 274, 343, 1341, 476, 276, 994, 284, 1269, 279, 2715, 343, 8703, 273, 4151, 1341, 476, 273, 343, 910, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11693, 513, 1875, 268, 24105, 5044, 540, 9981, 267, 2132, 519, 737, 1034, 7928, 2609, 780, 2690, 1383, 2676, 11693, 1496, 272, 267, 272, 267, 272, 267, 273, 267, 273, 267, 274, 316, 543, 737, 815, 476, 273, 267, 2132, 1496, 272, 267, 273, 316, 780, 9616, 281, 3097, 2791, 949, 8263, 737, 568, 2141, 4570, 267, 476, 272, 18016, 737, 18016, 1297, 540, 2189, 2609, 563, 7312, 5690, 781, 942, 6988, 1590, 581, 1732, 982, 744, 3799, 2845, 562, 1070, 1141, 562, 568, 519, 5044, 781, 2450, 563, 18257, 7531, 5035, 8827, 24998, 2187, 825, 1219, 1283, 298, 293, 7528, 550, 4311, 267, 15358, 267, 737, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 6943, 737, 281, 703, 454, 1038, 2433, 337, 6943, 281, 5903, 27776, 2639, 1038, 8173, 1038, 689, 24050, 336, 1104, 24050, 1518, 267, 646, 1952, 641, 454, 1038, 1104, 10070, 692, 1038, 1954, 336, 8548, 777, 815, 10070, 269, 29239, 18743, 17301, 994, 1038, 585, 1003, 538, 15358, 912, 2018, 1954, 336, 8548, 777, 314, 11133, 316, 6834, 476, 272, 454, 1038, 3193, 318, 515, 777, 815, 1496, 8987, 325, 516, 336, 267, 1003, 264, 585, 1003, 267, 1954, 336, 538, 1954, 336, 8548, 777, 29096, 3890, 2639, 1038, 24050, 1518, 32384, 318, 515, 777, 994, 1038, 1034, 6958, 7528, 550, 815, 11713, 1038, 585, 9041, 538, 1535, 9792, 17347, 2187, 2018, 1034, 6958, 7528, 550, 6910, 263, 515, 1952, 641, 32384, 318, 515, 777, 25011, 272, 7481, 1038, 2132, 1034, 6958, 7528, 550, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1449, 6831, 1162, 815, 1496, 454, 1038, 630, 314, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 3910, 1496, 272, 267, 476, 273, 316, 13211, 825, 23378, 825, 585, 1449, 6831, 848, 538, 1449, 6831, 1162, 912, 1038, 759, 815, 8827, 14061, 9008, 298, 293, 7528, 550, 6025, 652, 6831, 848, 314, 271, 3910, 476, 273, 994, 1038, 952, 759, 2652, 1449, 6831, 848, 314, 272, 14158, 2018, 1820, 834, 303, 21724, 4840, 1038, 3116, 912, 2018, 1820, 834, 293, 9229, 281, 4530, 2013, 281, 2715, 271, 348, 20944, 2715, 272, 348, 1401, 4624, 2715, 273, 348, 2668, 8971, 18692, 3546, 1449, 6831, 848, 314, 271, 3910, 759, 267, 1449, 6831, 848, 314, 272, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32204, 268, 272, 20609, 7042, 12163, 265, 1763, 565, 340, 23843, 798, 2624, 6403, 857, 334, 476, 273, 798, 1698, 6403, 339, 25222, 476, 272, 269, 272, 630, 20755, 18333, 590, 21516, 269, 31592, 5811, 269, 21942, 267, 476, 273, 382, 359, 3798, 328, 23843, 994, 265, 3097, 265, 13079, 583, 5964, 635, 334, 2433, 9226, 20312, 572, 764, 7776, 318, 272, 269, 272, 268, 273, 18258, 2999, 2280, 571, 285, 2999, 320, 285, 2999, 321, 285, 2999, 11133, 3266, 318, 1372, 318, 3438, 320, 9809, 383, 369, 525, 11417, 265, 4449, 2999, 2280, 571, 285, 9847, 4018, 607, 1577, 6652, 522, 2624, 6403, 857, 334, 630, 320, 267, 536, 522, 340, 524, 994, 265, 4449, 2999, 320, 285, 552, 2999, 321, 285, 9847, 2099, 600, 522, 8884, 334, 1496, 320, 14720, 2639, 20330, 265, 3474, 5889, 5471, 4592, 721, 15606, 16948, 1449, 324, 912, 265, 4449, 23526, 9226, 20312, 572, 764, 7776, 318, 272, 269, 272, 268, 273, 18258, 513, 476, 271, 476, 272, 476, 2767, 454, 265, 4449, 23526, 9226, 20312, 572, 764, 7776, 318, 272, 269, 272, 268, 273, 18258, 536, 910, 272, 476, 271, 476, 2767, 454, 265, 4449, 23526, 9226, 20312, 572, 764, 7776, 318, 272, 269, 272, 268, 273, 18258, 524, 476, 272, 476, 273, 476, 2767, 454, 20330, 20701, 5814, 19523, 454, 5814, 2979, 692, 3698, 3655, 3287, 2187, 16596, 1535, 1262, 276, 1341, 343, 910, 476, 272, 1948, 612, 320, 552, 327, 513, 30775, 7776, 630, 320, 2020, 3698, 535, 321, 3287, 2187, 16596, 2979, 4732, 514, 3287, 264, 910, 476, 277, 20080, 910, 476, 276, 1948, 612, 320, 552, 327, 513, 30775, 7776, 630, 321, 2020, 3698, 535, 322, 3287, 2187, 16596, 2979, 28802, 3287, 264, 1341, 1535, 1262, 273, 910, 476, 274, 1948, 612, 320, 552, 327, 513, 30775, 7776, 630, 322, 2020, 258, 513, 7109, 4545, 807, 552, 327, 522, 1003, 3266, 632, 8732, 553, 1710, 9820, 454, 3698, 20312, 572, 764, 7776, 630, 2280, 571, 28083, 14720, 19885, 17107, 14851, 263, 2280, 571, 2652, 1412, 320, 262, 2187, 453, 22592, 535, 3287, 2567, 13045, 4848, 16596, 3655, 3287, 994, 453, 19197, 630, 2280, 571, 2652, 1412, 321, 262, 2187, 453, 22592, 535, 3287, 2187, 4848, 16596, 535, 321, 3287, 994, 28432, 912, 453, 22592, 535, 3287, 2187, 4848, 16596, 535, 322, 3287, 2020, 14851, 535, 5416, 264, 2608, 535, 6357, 264, 13843, 476, 271, 912, 453, 13537, 18011, 11293, 549, 256, 535, 5416, 264, 325, 6357, 264, 2999, 476, 271, 562, 14244, 522, 14585, 516, 5073, 453, 16596, 7183, 454, 28432, 912, 453, 453, 328, 815, 476, 272, 454, 453, 453, 258, 6112, 16733, 321, 8584, 8358, 273, 269, 271, 3436, 7109, 4545, 807, 2187, 453, 453, 6112, 630, 328, 10922, 562, 2187, 4848, 453, 322, 815, 630, 320, 17070, 8358, 273, 269, 271, 454, 4848, 14851, 535, 6262, 264, 2652, 476, 271, 281, 3097, 15235, 16596, 524, 454, 4848, 453, 19197, 535, 5416, 12684, 325, 6262, 264, 2999, 476, 271, 912, 15235, 453, 321, 815, 524, 454, 15235, 453, 328, 815, 1775, 1341, 272, 454, 4848, 28432, 281, 3097, 15235, 453, 320, 815, 524, 454, 15235, 453, 328, 815, 1775, 1341, 272, 7531, 453, 16596, 524, 7531, 3698, 1292, 630, 1173, 341, 264, 10778, 28768, 14851, 12759, 4433, 903, 27769, 341, 264, 11203, 476, 276, 2187, 453, 453, 338, 903, 20216, 527, 2891, 13640, 5889, 5471, 4592, 2144, 2784, 657, 281, 536, 1047, 322, 7776, 318, 272, 269, 272, 268, 273, 18258, 2999, 2280, 571, 285, 2999, 320, 285, 2999, 321, 285, 2999, 11133, 3266, 632, 621, 5028, 9809, 383, 369, 525, 285, 15419, 14851, 4433, 903, 27769, 341, 314, 272, 316, 711, 538, 18358, 320, 12887, 321, 12887, 322, 11172, 2187, 453, 453, 338, 903, 20216, 527, 2891, 13640, 5889, 5471, 549, 632, 1577, 571, 2144, 2784, 334, 256, 590, 14244, 3284, 523, 553, 642, 5451, 331, 573, 657, 513, 267, 536, 522, 340, 524, 23528, 453, 692, 453, 637, 815, 20312, 572, 764, 7776, 630, 338, 903, 27769, 341, 314, 272, 3910, 703, 4433, 903, 27769, 341, 314, 273, 25818, 703, 630, 338, 903, 27769, 341, 314, 274, 25818, 703, 4433, 903, 27769, 341, 314, 275, 28413, 14851, 630, 637, 11203, 7183, 2187, 453, 13537, 18011, 315, 333, 29146, 288, 986, 714, 13005, 1577, 571, 20527, 281, 1412, 13211, 453, 13537, 759, 2676, 453, 13537, 18011, 315, 333, 5073, 453, 692, 604, 6449, 4067, 1029, 2525, 26242, 10852, 28751, 453, 10852, 4433, 903, 27769, 341, 314, 272, 281, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 307, 578, 1841, 513, 1175, 267, 12581, 267, 1480, 324, 543, 4264, 2486, 454, 27650, 13174, 267, 7689, 12697, 454, 290, 18778, 13174, 267, 4147, 1107, 966, 267, 5149, 910, 476, 1724, 454, 17843, 2081, 540, 8691, 454, 1892, 9255, 1871, 540, 2338, 19601, 290, 18778, 267, 13174, 267, 4147, 910, 4083, 267, 5149, 910, 476, 1691, 454, 2005, 568, 519, 4999, 540, 1079, 610, 811, 1297, 2483, 27650, 13174, 267, 11819, 14484, 687, 454, 290, 18778, 267, 13174, 267, 6103, 1107, 966, 267, 12910, 910, 4083, 454, 295, 4348, 628, 281, 9406, 2427, 267, 3526, 553, 519, 1871, 454, 3519, 1061, 281, 21964, 8918, 2483, 290, 269, 590, 553, 1731, 20783, 267, 301, 269, 14076, 600, 454, 290, 18778, 267, 13174, 267, 4147, 1107, 4083, 267, 5149, 268, 279, 563, 307, 523, 568, 1379, 855, 835, 568, 1271, 585, 602, 454, 11847, 18677, 538, 7756, 10158, 267, 1809, 621, 1058, 2285, 1482, 2495, 4429, 290, 18778, 267, 13174, 267, 4147, 1107, 8633, 267, 5149, 910, 17886, 454, 16524, 518, 786, 581, 2110, 267, 950, 972, 568, 13074, 454, 26212, 1702, 281, 5700, 519, 3017, 1063, 2483, 4537, 16747, 1299, 27449, 454, 3528, 681, 14371, 558, 4331, 543, 645, 14389, 599, 531, 341, 714, 6062, 454, 1432, 568, 519, 5086, 286, 4429, 307, 1157, 6874, 1157, 6874, 1157, 23048, 267, 21316, 9391, 267, 12218, 268, 4353, 267, 22780, 268, 275, 4429, 290, 18778, 267, 9119, 267, 4147, 1107, 4083, 5149, 1107, 476, 276, 454, 9596, 547, 1711, 3270, 454, 303, 10062, 676, 744, 12323, 28979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11788, 16748, 1436, 540, 476, 25172, 692, 1012, 1548, 568, 519, 11788, 16748, 1436, 540, 476, 25172, 2496, 12585, 281, 11788, 11790, 540, 476, 25172, 281, 476, 25172, 692, 1012, 19247, 540, 1297, 476, 25172, 11788, 16748, 1436, 692, 28269, 16748, 1436, 540, 476, 25172, 621, 568, 11589, 476, 25172, 607, 519, 1587, 540, 6305, 2188, 269, 769, 824, 1913, 621, 568, 4466, 799, 6305, 2338, 1058, 581, 16611, 1927, 547, 1118, 476, 25172, 780, 7712, 1297, 476, 25172, 568, 11788, 1297, 972, 568, 1100, 1259, 547, 3815, 1125, 621, 269, 476, 25172, 568, 519, 1152, 11788, 3815, 540, 3294, 780, 763, 10545, 11788, 7089, 799, 666, 7941, 476, 25172, 1510, 513, 14230, 568, 476, 25172, 269, 1924, 519, 1101, 9819, 1900, 1131, 1413, 899, 1384, 25172, 21680, 476, 25172, 815, 476, 272, 692, 3086, 649, 723, 782, 519, 11788, 11790, 585, 1297, 476, 25172, 269, 898, 568, 281, 476, 25172, 692, 1012, 11788, 16748, 1436, 7305, 692, 10831, 28269, 11790, 454, 2420, 6398, 476, 6795, 454, 274, 267, 476, 8064, 454, 273, 267, 476, 278, 267, 476, 1704, 454, 26839, 454, 2190, 6398, 476, 274, 6398, 476, 276, 454, 25240, 454, 273, 6398, 476, 12208, 454, 3374, 454, 2420, 6398, 476, 8618, 454, 276, 6398, 476, 7761, 454, 273, 267, 476, 274, 267, 476, 6078, 454, 1724, 267, 476, 866, 454, 2537, 6398, 476, 4029, 454, 274, 267, 476, 10695, 454, 273, 6398, 476, 7871, 454, 25172, 454, 2420, 6398, 476, 3953, 6398, 476, 278, 454, 1556, 267, 476, 2537, 454, 273, 267, 476, 14096, 454, 274, 267, 476, 276, 267, 476, 1704, 454, 2764, 454, 27038, 454, 273, 267, 476, 274, 267, 476, 6246, 454, 278, 267, 476, 4391, 454, 2420, 6398, 476, 276, 6398, 476, 1724, 454, 3953, 6398, 476, 3066, 454, 273, 267, 476, 14530, 454, 28091, 454, 2537, 6398, 476, 274, 6398, 476, 1556, 454, 276, 267, 476, 7871, 692, 1012, 6168, 834, 28269, 16748, 1436, 257, 18185, 692, 1607, 9498, 786, 1685, 513, 11788, 16748, 1436, 540, 1022, 2016, 1297, 543, 786, 1397, 782, 922, 11788, 11790, 269, 1280, 1383, 267, 621, 666, 948, 596, 1265, 856, 1018, 568, 519, 11788, 16748, 1436, 540, 476, 25172, 286, 630, 763, 2626, 568, 281, 476, 25172, 1040, 17292, 519, 1297, 585, 26458, 630, 324, 3052, 269, 1412, 25172, 262, 1040, 2991, 602, 5734, 519, 1412, 24280, 262, 7735, 563, 319, 28269, 2188, 616, 519, 2318, 9981, 2348, 1152, 1079, 2188, 910, 476, 272, 543, 519, 1297, 3294, 26384, 1012, 14174, 304, 692, 2162, 1548, 568, 519, 11788, 16748, 1436, 540, 476, 25172, 2496, 28269, 11790, 540, 476, 25172, 281, 476, 25172, 692, 2162, 1215, 1082, 6305, 2188, 1281, 476, 25172, 723, 2496, 10831, 476, 25172, 814, 476, 272, 11788, 11790 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22913, 532, 9978, 27122, 538, 519, 5124, 5678, 630, 2750, 13630, 781, 20429, 538, 7046, 11905, 994, 300, 1725, 639, 17389, 670, 564, 1633, 454, 20524, 519, 5124, 1935, 547, 5690, 2079, 543, 1374, 538, 713, 1590, 22345, 1433, 676, 2278, 13804, 639, 17389, 670, 564, 1633, 269, 2060, 513, 1445, 593, 8106, 6620, 543, 4909, 5690, 545, 1966, 9010, 2553, 267, 5124, 27122, 568, 606, 1898, 1224, 585, 1022, 27732, 3168, 547, 10994, 4101, 8193, 4247, 269, 10812, 1312, 5690, 545, 3069, 543, 5752, 2259, 609, 2653, 3562, 268, 16187, 3137, 543, 1483, 5124, 3292, 269, 28150, 513, 4396, 1620, 540, 1134, 8153, 6620, 543, 1239, 3889, 3710, 883, 5124, 267, 607, 1134, 607, 875, 547, 2936, 543, 6218, 1866, 269, 5192, 4712, 547, 1491, 707, 5752, 1983, 547, 519, 1985, 1377, 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 ]
[ 0, 266, 271, 692, 13043, 6780, 267, 594, 993, 11821, 593, 519, 476, 272, 4756, 851, 948, 2439, 271, 454, 2004, 454, 272, 692, 288, 1164, 1153, 568, 2348, 513, 13007, 16311, 543, 786, 2285, 1114, 26065, 585, 519, 1655, 476, 276, 6411, 538, 519, 1397, 269, 3689, 1747, 17993, 519, 1034, 2724, 267, 543, 1142, 1747, 1310, 602, 17993, 8096, 2004, 1447, 982, 535, 515, 3105, 1747, 269, 8073, 606, 3830, 602, 666, 581, 1031, 547, 3313, 519, 2698, 2179, 540, 16101, 2724, 1759, 593, 519, 1871, 540, 519, 1101, 1747, 16101, 269, 2422, 835, 4756, 543, 5581, 707, 26968, 985, 780, 10817, 652, 1109, 15037, 476, 736, 267, 476, 1001, 279, 692, 258, 272, 454, 266, 13199, 6246, 454, 266, 273, 692, 5575, 16101, 815, 14632, 7545, 30336, 1741, 1535, 9489, 692, 16149, 815, 18987, 3396, 1109, 1535, 268, 2004, 692, 628, 2273, 815, 1535, 268, 2004, 910, 476, 2004, 1109, 815, 3396, 1741, 1535, 268, 1911, 692, 27917, 628, 815, 1535, 268, 1911, 268, 2004, 815, 30336, 1741, 1535, 268, 5611, 692, 325, 604, 628, 815, 1535, 268, 5611, 910, 2004, 815, 7545, 476, 1741, 1535, 268, 476, 1220, 692, 13707, 2724, 568, 782, 540, 891, 3773, 1927, 692, 343, 1341, 630, 343, 268, 2004, 264, 1341, 630, 343, 268, 1911, 264, 1341, 630, 343, 268, 5611, 264, 1341, 630, 343, 268, 1220, 264, 3396, 5187, 325, 625, 547, 692, 13707, 14559, 815, 476, 276, 343, 910, 476, 4335, 692, 25821, 303, 822, 21754, 476, 1109, 15037, 476, 736, 267, 476, 1001, 279, 454, 31374, 1384, 258, 272, 454, 266, 13199, 6246, 454, 266, 273, 692, 5575, 16101, 815, 14632, 7545, 30336, 1741, 1535, 9489, 692, 16149, 815, 18987, 3396, 1109, 1535, 268, 2004, 692, 628, 2273, 815, 1535, 268, 2004, 910, 476, 2004, 1109, 815, 3396, 1741, 1535, 268, 1911, 692, 27917, 628, 815, 1535, 268, 1911, 268, 2004, 815, 30336, 1741, 1535, 268, 5611, 692, 325, 604, 628, 815, 1535, 268, 5611, 910, 2004, 815, 7545, 476, 1741, 1535, 268, 476, 1220, 692, 13707, 2724, 568, 782, 540, 891, 3773, 1927, 692, 343, 1341, 630, 343, 268, 2004, 264, 1341, 630, 343, 268, 1911, 264, 1341, 630, 343, 268, 5611, 264, 1341, 630, 343, 268, 1220, 264, 3396, 5187, 325, 625, 547, 692, 13707, 14559, 815, 476, 276, 343, 910, 476, 4335, 692, 25821, 303, 822, 21754, 476, 1109, 15037, 476, 736, 267, 476, 1001, 279, 692, 279, 6732, 20305, 692, 2171, 946, 12897, 547, 2123, 1047, 1543, 543, 18537, 267, 547, 1683, 1514, 2923, 2934, 543, 547, 20272, 938, 6808, 269, 1284, 849, 2671, 1344, 827, 707, 946, 540, 938, 3135, 609, 938, 1514, 2923, 267, 10229, 543, 12642, 4891, 269, 476, 1109, 8450, 3877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 269, 12361, 645, 2432, 692, 272, 269, 2913, 4399, 6234, 589, 259, 581, 513, 1875, 24105, 1305, 540, 1483, 2338, 799, 568, 22112, 2630, 269, 2913, 4399, 6234, 910, 288, 259, 581, 519, 1305, 540, 2338, 4399, 6234, 910, 343, 8961, 1141, 4399, 6234, 1535, 1422, 514, 589, 10608, 28171, 602, 4399, 6234, 1422, 8882, 10490, 264, 815, 28363, 338, 1575, 8987, 288, 7751, 780, 4504, 30698, 569, 713, 2306, 2631, 952, 596, 2721, 621, 593, 513, 1297, 1899, 269, 1809, 594, 993, 711, 2386, 875, 547, 18005, 6961, 621, 780, 273, 269, 1281, 621, 1175, 512, 2246, 10999, 1246, 689, 519, 8847, 2496, 274, 269, 1284, 917, 602, 589, 814, 513, 6574, 2539, 3808, 267, 4399, 6234, 737, 815, 1422, 8882, 630, 288, 7751, 563, 13295, 267, 4399, 6234, 1535, 1422, 514, 589, 315, 15153, 1422, 23976, 1422, 15153, 737, 1422, 19008, 16435, 656, 1535, 315, 15153, 1422, 23976, 1422, 15153, 910, 1535, 1422, 19008, 16435, 656, 910, 737, 259, 563, 6546, 1797, 602, 4399, 6234, 910, 330, 259, 568, 606, 5580, 3808, 585, 4399, 6234, 910, 288, 259, 865, 1577, 4399, 6234, 795, 815, 1422, 338, 1575, 630, 910, 589, 7751, 563, 2171, 917, 602, 4399, 6234, 795, 1422, 19008, 16435, 656, 910, 737, 259, 865, 15475, 602, 4399, 6234, 795, 2999, 910, 737, 259, 563, 10190, 4399, 6234, 737, 2999, 910, 795, 315, 15153, 1422, 23976, 1422, 15153, 1422, 3847, 263, 11513, 1410, 1235, 512, 1422, 514, 589, 348, 1422, 2431, 9385, 3847, 314, 2715, 330, 1422, 19008, 16435, 656, 512, 2999, 910, 795, 348, 1422, 2431, 316, 20867, 528, 20867, 329, 2999, 910, 512, 1422, 19008, 16435, 656, 910, 737, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 681, 303, 328, 14371, 18444, 302, 607, 13382, 22473, 476, 1948, 7383, 338, 519, 3044, 30722, 13100, 13382, 22473, 5399, 454, 5228, 942, 1104, 3207, 567, 1948, 7383, 338, 3207, 630, 10440, 7227, 610, 23249, 264, 883, 519, 1982, 454, 294, 18444, 302, 15630, 332, 1712, 31855, 18444, 302, 11065, 302, 19181, 264, 1948, 30498, 519, 8930, 1297, 532, 1062, 547, 946, 519, 2168, 11768, 692, 258, 5590, 909, 8930, 476, 1556, 585, 623, 310, 300, 454, 294, 18444, 302, 15630, 1575, 263, 1556, 267, 294, 18444, 302, 269, 27345, 264, 476, 1948, 30498, 909, 8930, 476, 1556, 547, 606, 3977, 630, 13318, 1737, 540, 606, 3403, 994, 335, 815, 13382, 22473, 10422, 310, 300, 263, 1556, 267, 476, 2004, 264, 672, 1948, 30498, 909, 8930, 476, 1556, 607, 513, 623, 310, 300, 8930, 454, 335, 269, 11034, 263, 271, 264, 25639, 1948, 3399, 338, 4881, 623, 310, 300, 593, 519, 8930, 543, 5036, 621, 547, 476, 271, 692, 258, 8844, 519, 1425, 334, 1394, 543, 8521, 454, 335, 269, 27087, 291, 14280, 290, 19564, 263, 277, 264, 672, 1948, 15448, 519, 13942, 8700, 547, 476, 274, 630, 810, 7575, 519, 1425, 334, 994, 338, 2748, 263, 276, 264, 4449, 1948, 27016, 476, 272, 2034, 454, 335, 269, 27087, 291, 14280, 290, 19564, 263, 1015, 264, 825, 1948, 15448, 519, 13942, 8700, 547, 476, 1321, 630, 810, 7575, 519, 1425, 334, 994, 338, 2748, 263, 272, 2020, 258, 11162, 909, 3388, 454, 335, 14714, 641, 3890, 4449, 1948, 2311, 519, 1439, 540, 519, 1982, 267, 3247, 519, 623, 310, 300, 454, 294, 18444, 302, 269, 30236, 1575, 3890, 19930, 1948, 1763, 1115, 519, 13382, 22473, 20382, 1394, 547, 9949, 338, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8368, 540, 12937, 454, 14549, 7919, 723, 513, 6292, 540, 12042, 3916, 2125, 269, 634, 12042, 3916, 2125, 723, 476, 1789, 7633, 1142, 602, 1106, 25427, 267, 695, 1678, 267, 12597, 267, 543, 3723, 563, 8256, 18790, 25427, 267, 695, 1678, 267, 543, 12597, 607, 513, 1850, 267, 519, 1850, 13408, 519, 7633, 912, 763, 3185, 584, 3029, 519, 5580, 1850, 1247, 519, 512, 28992, 543, 519, 4017, 3121, 1106, 519, 2539, 6712, 540, 519, 1850, 563, 763, 3185, 584, 568, 519, 1152, 5642, 4092, 1369, 519, 25427, 269, 5015, 267, 621, 568, 835, 540, 519, 16999, 607, 1134, 607, 519, 13074, 7633, 538, 519, 1480, 1560, 269, 634, 3185, 584, 13462, 519, 23856, 5642, 547, 519, 2539, 1850, 7633, 269, 6271, 1271, 4183, 540, 519, 3185, 584, 568, 602, 621, 3029, 513, 3440, 7146, 1606, 12714, 4745, 609, 519, 12048, 563, 763, 512, 28992, 568, 835, 540, 519, 1079, 7633, 1459, 538, 519, 2539, 1850, 269, 898, 568, 849, 1634, 607, 519, 695, 1678, 5642, 610, 519, 695, 514, 14752, 269, 5047, 267, 519, 512, 28992, 568, 519, 3677, 543, 519, 6793, 540, 519, 1079, 269, 26277, 558, 1227, 267, 519, 512, 28992, 13462, 519, 21721, 5642, 609, 519, 12597, 563, 763, 4017, 3121, 568, 1572, 519, 28419, 5642, 543, 13462, 547, 519, 512, 28992, 1657, 543, 2630, 269, 898, 8255, 2663, 958, 547, 519, 512, 28992, 543, 568, 4130, 982, 519, 1079, 269, 5047, 267, 519, 5377, 851, 540, 519, 4017, 3121, 11498, 1134, 2250, 519, 512, 28992, 543, 3029, 519, 14694, 851, 540, 519, 21721, 563, 9827, 28582, 281, 645, 2158, 540, 519, 1323, 330, 548, 454, 21761, 18542, 5999, 593, 645, 2158, 540, 519, 6181, 454, 1432, 616, 519, 7633, 540, 519, 1850, 888, 763, 1850, 13408, 519, 1739, 7633, 912, 8489, 568, 519, 3185, 584, 4092, 888, 1432, 616, 519, 7633, 1459, 538, 519, 695, 1678, 3148, 888, 1432, 568, 513, 3440, 7146, 1606, 12714, 4745, 286, 7316, 568, 621, 4092, 888, 1432, 568, 519, 16999, 543, 13074, 5642, 538, 519, 1560, 888, 18439, 811, 1644, 3584, 676, 11578, 532, 693, 15760, 297, 308, 24912, 10334, 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 ]
[ 0, 9223, 281, 634, 19633, 567, 538, 18548, 6202, 568, 8938, 14633, 5195, 689, 519, 2749, 269, 634, 8492, 476, 543, 1870, 13646, 476, 616, 538, 519, 4099, 540, 519, 2749, 269, 3367, 891, 4967, 689, 519, 19701, 676, 6004, 269, 3204, 3244, 12121, 281, 4728, 476, 1220, 275, 476, 1428, 631, 2177, 567, 6828, 540, 476, 3374, 3943, 1053, 9683, 18548, 6202, 4534, 1616, 10464, 9702, 476, 1626, 570, 308, 2464, 476, 6004, 269, 543, 11427, 269, 808, 269, 16827, 21945, 567, 689, 8303, 4534, 1152, 3251, 513, 3781, 693, 18548, 6202, 4534, 6028, 2038, 593, 519, 476, 1240, 628, 2421, 2011, 476, 1704, 654, 3633, 567, 6004, 269, 18491, 1662, 9874, 267, 19519, 267, 21945, 585, 513, 1079, 6377, 1870, 7552, 476, 1240, 8946, 7838, 476, 476, 4792, 6739, 1053, 991, 1079, 2395, 538, 513, 10464, 15678, 476, 866, 674, 6020, 825, 723, 513, 1895, 5870, 827, 875, 547, 4482, 476, 17631, 567, 689, 5607, 476, 476, 736, 20389, 825, 6004, 269, 543, 11427, 269, 9652, 267, 689, 6115, 667, 5861, 1421, 21945, 676, 2011, 476, 2641, 590, 7419, 825, 20550, 1676, 609, 645, 7578, 693, 3751, 12567, 543, 4585, 3751, 15158, 693, 476, 280, 281, 876, 533, 6230, 269, 476, 2420, 631, 2177, 567, 6004, 269, 543, 11427, 269, 674, 269, 14105, 267, 991, 10464, 20730, 585, 1079, 2395, 6004, 269, 18491, 1662, 9874, 568, 689, 567, 9041, 476, 4586, 271, 269, 5333, 454, 272, 269, 3567, 454, 273, 269, 3013, 454, 274, 269, 6576, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8893, 4643, 281, 3213, 324, 2310, 540, 10163, 3191, 9119, 454, 1607, 3992, 1544, 2882, 519, 6859, 543, 23944, 28987, 540, 519, 3992, 3450, 1053, 875, 547, 4194, 2042, 593, 519, 1764, 540, 1079, 5536, 1210, 5726, 540, 5276, 11610, 543, 13053, 779, 1876, 540, 1964, 3191, 563, 10743, 786, 581, 2111, 547, 454, 268, 4194, 2042, 827, 13412, 21611, 563, 10743, 1058, 2907, 581, 5432, 609, 454, 268, 2596, 10252, 14670, 923, 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 ]