SmallDoge/decay_dataset · Datasets at Hugging Face

input_ids sequencelengths 6 2.05k	attention_mask sequencelengths 6 2.05k
[ 0, 9767, 547, 2328, 606, 1557, 269, 2201, 519, 835, 1688, 267, 621, 568, 1271, 602, 649, 3314, 938, 6561, 269, 19732, 1465, 666, 1689, 2290, 540, 519, 8753, 1419, 6537, 689, 519, 1101, 1353, 568, 602, 1100, 2339, 1018, 649, 798, 649, 18085, 1860, 1454, 1689, 883, 938, 1279, 2165, 1377, 540, 1134, 5630, 543, 1272, 9547, 269, 2052, 649, 2161, 602, 2724, 543, 824, 1570, 5370, 1118, 835, 6126, 286, 1717, 267, 972, 568, 2178, 4661, 602, 649, 1058, 1413, 585, 2072, 543, 711, 23651, 267, 7836, 1447, 2724, 593, 8497, 519, 2250, 543, 811, 593, 17516, 938, 2104, 269, 1403, 519, 3312, 3069, 729, 2953, 267, 782, 519, 3646, 649, 22738, 547, 2333, 8788, 616, 1448, 1652, 543, 941, 798, 15701, 547, 7683, 2132, 547, 9243, 563, 763, 4052, 5057, 568, 519, 11601, 540, 513, 5837, 1915, 267, 607, 5941, 1657, 269, 6875, 2724, 267, 585, 1383, 269, 589, 2875, 949, 4125, 513, 8471, 7664, 540, 835, 540, 891, 1913, 282, 1331, 519, 3091, 689, 519, 21594, 267, 543, 1039, 513, 1906, 1913, 10503, 519, 2123, 1620, 540, 519, 2262, 269, 3371, 649, 1294, 519, 8112, 538, 14163, 582, 956, 2272, 281, 607, 4166, 607, 646, 5956, 547, 2482, 1524, 930, 5837, 3652, 267, 646, 6001, 525, 873, 538, 1931, 547, 1491, 883, 7156, 519, 3099, 543, 20314, 1890, 540, 1880, 2191, 14613, 269, 1977, 5369, 6048, 267, 476, 8618, 263, 275, 476, 25134, 27183, 563, 25889, 1344, 568, 711, 8078, 2218, 1175, 2638, 2436, 1169, 5094, 2856, 814, 513, 5094, 5037, 543, 6529, 547, 519, 2497, 2630, 269, 3245, 875, 547, 2328, 513, 4214, 1557, 4367, 547, 519, 5912, 1913, 585, 4214, 1557, 267, 649, 786, 2671, 3388, 2556, 547, 917, 827, 713, 1826, 540, 7084, 269, 4438, 519, 476, 3583, 338, 267, 519, 1523, 729, 1634, 607, 15949, 4577, 9542, 269, 17664, 267, 11184, 6424, 630, 1960, 276, 1916, 7078, 281, 519, 8613, 1982, 10611, 269, 7151, 281, 594, 31372, 11014, 676, 519, 6049, 269, 594, 666, 2268, 5070, 543, 5135, 676, 2597, 543, 4320, 267, 855, 594, 666, 1405, 2445, 513, 11013, 540, 5539, 610, 513, 2148, 540, 5837, 30891, 19403, 811, 454, 2690, 1383, 267, 621, 949, 581, 602, 1603, 707, 12031, 729, 513, 3226, 2352, 1974, 269, 1717, 267, 952, 596, 616, 4304, 2828, 267, 596, 1522, 2015, 1152, 1210, 1101, 4408, 547, 2149, 741, 9163, 269, 901, 786, 1611, 513, 5649, 811 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 5299, 1104, 2620, 32476, 454, 5228, 17511, 1104, 5903, 692, 5228, 7780, 2812, 2593, 3000, 1104, 2196, 22710, 692, 12163, 14756, 503, 27936, 22047, 23746, 25060, 483, 12571, 360, 19404, 491, 14035, 491, 12255, 21211, 7511, 31365, 28578, 8147, 13213, 498, 18713, 508, 19867, 478, 20069, 21251, 19404, 491, 14035, 491, 7511, 10429, 357, 26406, 496, 28578, 12486, 692, 419, 353, 374, 28032, 489, 1384, 27447, 24662, 281, 1496, 272, 267, 272, 267, 273, 2639, 27447, 24731, 912, 314, 454, 476, 1496, 272, 267, 272, 267, 273, 16689, 476, 1496, 272, 267, 273, 267, 272, 16689, 476, 1496, 273, 267, 272, 267, 272, 2639, 6540, 20701, 454, 5035, 8827, 912, 825, 7711, 14725, 22710, 454, 825, 1219, 7989, 1393, 4462, 1664, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 27776, 316, 14158, 1038, 759, 815, 29129, 1038, 1219, 1394, 10177, 1188, 9638, 987, 281, 5903, 27776, 3910, 15358, 17107, 2018, 1948, 1820, 6600, 257, 12949, 2433, 2715, 12949, 348, 5602, 2018, 1948, 1820, 6600, 257, 333, 4548, 2433, 2715, 333, 4548, 348, 15419, 2018, 952, 711, 15358, 912, 3546, 1948, 17276, 510, 495, 418, 371, 365, 18021, 355, 421, 479, 491, 31308, 484, 28996, 18021, 499, 454, 3546, 952, 2619, 538, 759, 912, 7386, 2132, 454, 3546, 759, 6910, 9638, 987, 994, 3546, 2132, 692, 2018, 585, 1775, 538, 2039, 12759, 25225, 15892, 3546, 1948, 1820, 6600, 257, 1721, 9847, 2619, 2433, 2715, 12949, 348, 5602, 3546, 1948, 1820, 6600, 257, 1721, 9847, 15358, 2433, 2715, 333, 4548, 348, 15419, 3546, 1948, 13127, 364, 484, 25051, 497, 31176, 491, 12255, 20693, 510, 24662, 2619, 454, 3546, 2619, 6910, 25225, 5157, 20285, 3546, 1948, 454, 3546, 1394, 10177, 1188, 263, 1372, 788, 32476, 9638, 987, 1070, 15358, 11468, 328, 316, 1341, 15358, 5157, 1341, 476, 272, 281, 20285, 3546, 1948, 1820, 6600, 257, 6524, 595, 30327, 2619, 2433, 2715, 12949, 348, 5602, 3546, 1948, 17276, 496, 353, 421, 498, 478, 454, 3546, 2619, 21014, 4590, 3546, 1948, 1820, 6600, 257, 5475, 595, 30327, 2619, 2433, 2715, 12949, 348, 15419, 1038, 1394, 10177, 1188, 8443, 3910, 15358, 2020, 1038, 2132, 759, 692, 825, 7711, 14725, 22710, 454, 825, 1219, 7989, 1393, 4462, 1664, 273, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 27776, 316, 14158, 1038, 759, 815, 29129, 1038, 1219, 1394, 10177, 1188, 9638, 987, 281, 5903, 27776, 3910, 15358, 281, 5903, 27776, 316, 2187, 2018, 952, 711, 15358, 912, 3546, 952, 2619, 538, 759, 912, 7386, 2132, 692, 3546, 759, 6910, 9638, 987, 994, 3546, 2132, 692, 2018, 585, 1775, 538, 2039, 12759, 25225, 15892, 3546, 2619, 6910, 25225, 5157, 20285, 3546, 1394, 10177, 1188, 263, 1372, 788, 32476, 9638, 987, 1070, 15358, 11468, 328, 316, 1341, 15358, 27007, 328, 1341, 476, 272, 2567, 7481, 3546, 1948, 1394, 10177, 1188, 9638, 987, 11468, 3910, 15358, 11468, 328, 316, 1341, 15358, 27007, 328, 1341, 476, 272, 2567, 20285, 3546, 2619, 21014, 10797, 1038, 1394, 10177, 1188, 8443, 3910, 15358, 2020, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 15358, 815, 1496, 272, 267, 476, 272, 267, 476, 273, 2639, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 269, 11279, 1393, 4462, 1664, 273, 25225, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5620, 596, 2479, 4862, 540, 519, 28554, 4115, 32595, 19482, 18162, 286, 1358, 2811, 538, 5125, 267, 2282, 513, 2749, 1572, 22540, 780, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 2334, 4992, 4277, 256, 3657, 972, 1082, 10239, 547, 18214, 2496, 8334, 281, 8786, 267, 972, 616, 256, 1656, 519, 5784, 689, 519, 1283, 616, 1175, 5863, 269, 1809, 1354, 649, 979, 267, 649, 991, 547, 1118, 2386, 649, 3640, 5265, 585, 938, 30382, 269, 1684, 596, 917, 1018, 649, 1058, 3142, 2059, 2496, 7692, 281, 772, 7825, 1862, 2280, 803, 1589, 269, 1284, 786, 9090, 991, 1216, 267, 1318, 286, 1677, 3251, 19872, 1247, 16246, 1346, 7381, 10239, 780, 8334, 281, 25999, 267, 7585, 256, 4826, 568, 1898, 269, 1548, 3116, 1131, 948, 721, 952, 649, 1205, 13110, 1282, 938, 30382, 2496, 7692, 281, 10965, 2931, 256, 6052, 13063, 610, 5613, 1223, 2285, 721, 3063, 1648, 780, 8334, 281, 4279, 3206, 256, 3767, 267, 4952, 952, 2576, 3893, 10413, 1247, 19482, 282, 1018, 1223, 649, 946, 547, 6512, 720, 741, 10138, 2496, 7692, 281, 589, 1101, 5351, 6539, 256, 898, 2356, 814, 6512, 1137, 543, 21149, 1218, 3330, 780, 8334, 281, 1411, 2811, 20414, 593, 3533, 269, 14936, 267, 2094, 5985, 6049, 6786, 1522, 581, 4617, 538, 7823, 2127, 267, 799, 6221, 1131, 1869, 1450, 721, 547, 1294, 1141, 649, 2811, 2469, 1510, 13461, 593, 2029, 2496, 7692, 281, 7937, 267, 594, 917, 713, 835, 910, 513, 22315, 543, 4786, 256, 1452, 666, 3391, 721, 1256, 950, 11436, 1810, 1405, 960, 780, 8334, 281, 20056, 550, 2816, 267, 7585, 256, 5457, 532, 547, 3640, 891, 3688, 2982, 1434, 10385, 543, 2337, 2327, 938, 3106, 269, 5871, 2631, 899, 713, 2306, 10707, 811, 11791, 269, 1924, 267, 4712, 585, 707, 28554, 4115, 32595, 7045, 2496, 7692, 281, 4347, 17802, 267, 7705, 256, 2060, 1250, 3972, 344, 30618, 4904, 609, 1216, 267, 16152, 267, 513, 1101, 5351, 6539, 267, 543, 513, 22315, 1299, 4786, 267, 594, 1745, 5423, 585, 4376, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10000, 593, 519, 13962, 1768, 15869, 693, 23392, 21537, 529, 334, 563, 12640, 6866, 24455, 12134, 803, 11652, 713, 568, 267, 5667, 584, 29418, 267, 513, 7928, 12136, 1765, 6343, 1250, 5172, 7552, 729, 267, 519, 12918, 616, 1164, 602, 594, 3580, 2161, 2063, 1747, 594, 10272, 269, 594, 6557, 2386, 1250, 2828, 941, 782, 7210, 540, 1250, 5134, 344, 31991, 986, 3387, 13530, 827, 5487, 639, 22828, 779, 11903, 29288, 267, 27060, 779, 796, 4944, 334, 6150, 17822, 267, 645, 860, 3534, 779, 2025, 17469, 959, 3430, 528, 5362, 267, 543, 25592, 21289, 779, 1350, 25428, 13050, 267, 936, 7308, 31795, 3388, 563, 3383, 1491, 1018, 594, 2161, 1985, 609, 513, 10286, 540, 6070, 281, 713, 729, 634, 269, 7454, 269, 25676, 269, 17451, 563, 22517, 1846, 543, 12784, 5134, 538, 681, 10216, 1642, 8493, 320, 563, 11039, 267, 6148, 711, 4010, 267, 855, 621, 779, 1259, 909, 593, 519, 1592, 269, 2290, 540, 1250, 5172, 1919, 827, 22540, 568, 602, 621, 779, 1318, 2066, 519, 8473, 689, 7977, 269, 28228, 333, 7770, 619, 616, 23816, 540, 10912, 621, 676, 922, 7969, 1395, 32304, 267, 3933, 23147, 1019, 28554, 1512, 320, 267, 543, 22348, 1004, 602, 789, 2461, 18374, 513, 7187, 7969, 2749, 269, 2755, 621, 779, 513, 18941, 602, 32228, 2103, 798, 711, 3100, 547, 2671, 267, 621, 779, 2182, 547, 20912, 602, 519, 1079, 723, 930, 2686, 16937, 543, 267, 607, 835, 7986, 2199, 18056, 803, 267, 596, 666, 5577, 2066, 519, 536, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 822, 4115, 32595, 670, 10884, 3004, 2812, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 5125, 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 ]
[ 0, 300, 5308, 4596, 310, 267, 476, 1556, 3057, 1107, 681, 8656, 8734, 739, 328, 269, 634, 3131, 14651, 30024, 814, 6592, 519, 3280, 540, 922, 8955, 593, 519, 4414, 14136, 585, 519, 1101, 942, 267, 2687, 547, 513, 8331, 2046, 5305, 563, 28606, 17067, 621, 729, 4080, 602, 519, 30024, 1500, 519, 1101, 1449, 5397, 1472, 519, 4541, 563, 12441, 596, 917, 286, 2368, 4992, 602, 649, 2811, 1031, 547, 593, 3047, 267, 899, 627, 30178, 267, 30518, 610, 6177, 8964, 267, 1131, 581, 3592, 538, 7596, 1043, 593, 9370, 563, 9596, 811, 538, 519, 968, 306, 2432, 540, 9370, 892, 12558, 540, 938, 30985, 17807, 15264, 563, 6930, 492, 356, 19415, 281, 4179, 2517, 339, 16691, 270, 298, 326, 306, 304, 2750, 336, 326, 583, 17552, 6745, 342, 7867, 2593, 270, 312, 311, 343, 329, 292, 4649, 12682, 307, 454, 1700, 8331, 31822, 22498, 264, 4728, 476, 1015, 267, 476, 1708, 272, 454, 763, 1101, 19827, 540, 519, 8111, 23173, 6293, 8704, 593, 519, 30024, 723, 8452, 593, 3047, 269, 968, 763, 1239, 689, 519, 6293, 8452, 693, 519, 3943, 2230, 8116, 781, 4238, 4099, 538, 570, 9567, 1787, 543, 2882, 519, 1101, 8301, 19827, 540, 8955, 3280, 593, 1776, 4541, 2223, 519, 2046, 5305, 1767, 563, 763, 5692, 5950, 1614, 8301, 6119, 267, 519, 1101, 540, 799, 729, 6592, 1175, 476, 1240, 3108, 1310, 13941, 269, 1703, 568, 513, 2603, 540, 2842, 593, 519, 19827, 267, 2523, 593, 519, 2034, 476, 736, 29364, 10916, 267, 799, 729, 1500, 593, 519, 8772, 6742, 1014, 1554, 630, 21938, 476, 2420, 1040, 634, 3791, 3758, 267, 6592, 593, 476, 1321, 6742, 1014, 2395, 630, 18550, 476, 273, 1070, 2982, 519, 30390, 540, 513, 8955, 6322, 693, 513, 4224, 693, 513, 3845, 540, 827, 476, 274, 7397, 269, 2368, 8955, 16125, 616, 5594, 21514, 1457, 267, 4758, 1344, 827, 519, 2168, 2497, 540, 1114, 9072, 267, 971, 607, 3448, 21052, 563, 22498, 781, 21777, 30024, 267, 3131, 14651, 267, 9250, 689, 3047, 2063, 5147, 543, 6707, 15354, 593, 9370, 538, 5988, 269, 634, 3926, 814, 2907, 10299, 547, 3047, 711, 1152, 2592, 540, 519, 4414, 14136, 267, 855, 849, 513, 3381, 6592, 1282, 922, 13941, 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 ]
[ 0, 9223, 281, 27686, 707, 2777, 25907, 454, 271, 269, 11162, 707, 2777, 9420, 338, 676, 9900, 25738, 593, 519, 9420, 338, 585, 1896, 3108, 563, 272, 269, 11162, 707, 2777, 9420, 338, 676, 1210, 519, 15081, 565, 20712, 13613, 593, 707, 12511, 563, 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 ]
[ 0, 763, 4282, 540, 519, 4389, 19548, 1973, 2095, 538, 667, 1075, 1156, 928, 16757, 30484, 15577, 454, 291, 1075, 1156, 928, 16757, 30484, 15577, 630, 291, 13270, 264, 568, 6353, 676, 4049, 543, 11636, 4887, 8467, 1813, 547, 13592, 538, 519, 667, 13270, 5444, 799, 1291, 547, 519, 9000, 540, 519, 30484, 5268, 514, 3940, 269, 589, 1713, 8167, 540, 519, 4299, 1453, 7985, 689, 1808, 1565, 543, 8965, 9124, 799, 616, 811, 1455, 609, 30218, 13592, 538, 519, 667, 13270, 5444, 602, 1291, 547, 9000, 540, 2789, 30484, 5268, 514, 568, 334, 13257, 269, 21298, 649, 4080, 513, 5786, 538, 519, 2179, 540, 15454, 2339, 4320, 267, 12012, 3043, 2339, 2890, 560, 4450, 543, 4389, 19548, 1973, 2095, 267, 12290, 609, 6419, 16982, 9196, 630, 28122, 264, 538, 667, 13270, 269, 24583, 13887, 1973, 2095, 4249, 606, 1271, 1909, 538, 5042, 8647, 543, 568, 5732, 21443, 762, 547, 2126, 269, 4475, 267, 649, 2832, 547, 2263, 519, 7271, 5817, 519, 4389, 13526, 4288, 538, 667, 13270, 563, 25332, 969, 1049, 1353, 269, 1284, 2022, 3634, 602, 2901, 19548, 1313, 648, 326, 1637, 568, 22841, 610, 11528, 1973, 2604, 568, 4389, 538, 667, 13270, 269, 1677, 1449, 891, 19165, 649, 786, 946, 513, 1079, 9912, 1935, 281, 630, 272, 264, 649, 786, 2708, 519, 3210, 547, 9647, 739, 1738, 1689, 1210, 6024, 10489, 31424, 28576, 16980, 630, 307, 7374, 264, 543, 9416, 5418, 628, 903, 332, 2762, 547, 6895, 11528, 543, 19548, 1973, 2095, 6991, 1282, 2212, 5346, 28550, 630, 295, 7473, 1070, 630, 273, 264, 649, 786, 22945, 6237, 19548, 1973, 2095, 1210, 18909, 1282, 16889, 2175, 543, 1282, 1079, 1114, 4247, 267, 835, 5179, 4830, 1449, 602, 1152, 9072, 519, 3308, 16794, 267, 543, 835, 5042, 13455, 3007, 4305, 602, 3322, 2789, 2634, 4525, 547, 1353, 6237, 2242, 538, 19548, 1313, 648, 326, 1637, 563, 763, 3119, 2832, 568, 547, 1353, 952, 11528, 610, 19548, 2746, 2032, 538, 667, 13270, 2550, 15320, 689, 2635, 2085, 2173, 520, 3481, 8060, 267, 547, 3313, 2436, 19548, 1313, 648, 326, 1637, 610, 11528, 1973, 2604, 896, 15533, 519, 4389, 19548, 13526, 4288, 538, 667, 13270, 269, 634, 6281, 2832, 568, 547, 1353, 952, 2242, 538, 19548, 1313, 648, 326, 1637, 616, 6237, 610, 2518, 538, 2470, 563, 19226, 534, 857, 1359, 281, 667, 1075, 1156, 928, 9977, 5741, 634, 13814 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4862, 596, 941, 1565, 827, 2371, 538, 27425, 269, 2334, 781, 3579, 256, 1684, 596, 917, 799, 2030, 649, 666, 1265, 10876, 538, 27425, 2496, 7692, 281, 3143, 267, 594, 1810, 1405, 269, 6904, 835, 568, 621, 2496, 8334, 281, 898, 781, 1572, 18409, 269, 901, 2030, 814, 930, 2027, 2934, 602, 948, 621, 7639, 538, 1114, 2175, 269, 1280, 1383, 267, 922, 6565, 610, 1412, 1529, 332, 262, 666, 1332, 909, 547, 476, 9610, 17744, 7381, 256, 5994, 952, 649, 1185, 513, 2030, 607, 7381, 607, 938, 1153, 2679, 2439, 7692, 281, 5808, 320, 267, 602, 1131, 581, 5458, 256, 1809, 9327, 1405, 621, 2887, 936, 1317, 621, 781, 1932, 7381, 2496, 8334, 281, 6153, 2243, 256, 24511, 267, 713, 2030, 814, 2178, 5072, 543, 13888, 11710, 865, 621, 3085, 1405, 3362, 2887, 1524, 1256, 950, 621, 781, 1360, 7381, 269, 3807, 899, 721, 267, 2348, 1434, 3666, 2337, 721, 1796, 2786, 543, 7381, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1656, 1018, 827, 1346, 3762, 286, 1358, 3280, 4277, 780, 8334, 281, 8786, 267, 789, 616, 256, 3962, 6978, 814, 513, 3039, 18916, 4881, 2059, 922, 3259, 269, 1411, 666, 1589, 540, 621, 899, 707, 1378, 1688, 910, 972, 616, 3515, 2469, 2066, 707, 13869, 602, 948, 4163, 1973, 547, 1114, 2694, 269, 6684, 267, 891, 3039, 15532, 4163, 1216, 543, 5567, 2429, 519, 6978, 780, 7692, 281, 15346, 256, 1548, 4523, 952, 519, 2030, 3085, 1405, 1205, 2614, 1216, 2496, 8334, 281, 3973, 1175, 899, 721, 3478, 13204, 3603, 267, 519, 2030, 849, 23119, 269, 4706, 3762, 949, 2490, 5835, 610, 27315, 1540, 269, 1924, 267, 4758, 1697, 1416, 543, 14450, 5781, 5849, 519, 2030, 13978, 2635, 543, 9428, 1134, 780, 7692, 281, 24439, 2631, 269, 1215, 1281, 713, 2030, 3262, 5452, 1472, 2496, 8334, 281, 4270, 267, 1310, 15496, 267, 519, 2030, 7472, 1945, 1572, 26389, 5627, 6263, 5452, 3330, 8825, 3382, 902, 1572, 829, 580, 2106, 807, 269, 1879, 22691, 267, 891, 2370, 15004, 1205, 24797, 676, 2842, 610, 1216, 267, 4543, 519, 2030, 16196, 543, 1402, 3634, 811, 2127, 780, 7692, 281, 26272, 267, 2470, 568, 4241, 256, 8729, 585, 7713, 782, 713, 267, 7705, 780, 8334, 281, 3143, 1966, 693, 782, 267, 7585, 256, 4197, 875, 2371, 2661, 11414, 721, 3407, 4245, 827, 6043, 267, 2208, 267, 543, 12391, 585, 1866, 269, 9578, 267, 945, 6487, 950, 6616, 827, 513, 2462, 10153, 262, 2030, 1522, 2097, 538, 13561, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1638, 269, 8776, 9445, 15636, 269, 11833, 476, 5392, 281, 476, 32699, 269, 476, 4572, 274, 563, 5522, 1218, 29822, 524, 525, 335, 527, 846, 269, 26943, 916, 476, 1789, 1700, 6344, 263, 1700, 9610, 264, 4699, 282, 3543, 894, 7583, 916, 609, 1906, 3762, 7265, 1229, 693, 30085, 269, 27817, 281, 1352, 23411, 740, 1314, 6053, 17736, 545, 28204, 3039, 268, 557, 1441, 5176, 547, 27897, 267, 609, 513, 7522, 1728, 13824, 6512, 610, 8325, 962, 11057, 1728, 13824, 3148, 693, 27897, 282, 740, 1314, 6053, 6109, 267, 14805, 1080, 772, 11057, 267, 29656, 13099, 650, 846, 282, 30218, 14270, 2737, 476, 272, 269, 279, 1700, 275, 269, 275, 263, 1700, 277, 264, 6515, 282, 19059, 476, 273, 1700, 275, 263, 1700, 277, 264, 829, 15417, 7583, 332, 267, 476, 279, 1700, 1789, 4699, 6398, 476, 273, 1700, 275, 269, 276, 6515, 269, 769, 4148, 2803, 322, 1878, 13008, 16245, 267, 2356, 1930, 267, 3039, 547, 6960, 267, 476, 272, 1700, 275, 269, 276, 263, 1700, 277, 264, 4699, 6398, 476, 276, 1700, 1691, 6515, 282, 9938, 2711, 2028, 1712, 476, 272, 1700, 1691, 6515, 282, 476, 273, 323, 2028, 1712, 476, 274, 1700, 279, 6515, 282, 9938, 2711, 536, 847, 338, 9470, 601, 833, 267, 1419, 609, 1490, 16824, 4388, 269, 1975, 10105, 476, 274, 1700, 1015, 267, 3982, 267, 14248, 760, 810, 573, 547, 9065, 1355, 267, 476, 277, 1700, 1724, 263, 1700, 1704, 264, 6398, 476, 274, 269, 279, 1700, 278, 6515, 267, 3490, 17031, 610, 1073, 339, 2224, 267, 30085, 1073, 339, 2224, 547, 17618, 8650, 282, 588, 3133, 622, 6712, 476, 273, 6515, 610, 1447, 269, 623, 626, 650, 622, 10253, 3043, 268, 1506, 13824, 267, 4742, 12779, 3623, 854, 6960, 609, 2085, 267, 609, 12779, 610, 3039, 4099, 267, 17618, 561, 766, 25544, 267, 476, 273, 269, 273, 1700, 274, 269, 278, 6515, 267, 10156, 543, 7522, 518, 982, 829, 580, 2106, 807, 267, 30085, 1073, 339, 2224, 269, 3131, 580, 2106, 807, 813, 5962, 268, 2444, 2056, 267, 3039, 547, 1951, 321, 6960, 267, 17736, 545, 28204, 476, 276, 1700, 28236, 268, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 12144, 1299, 4639, 28851, 1315, 27425, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 5425, 14112, 585, 2123, 10618, 3028, 267, 519, 772, 2529, 269, 8549, 18058, 8189, 630, 293, 6717, 264, 2165, 1031, 547, 4766, 513, 1305, 540, 3059, 10408, 4066, 1373, 18611, 538, 519, 772, 2529, 269, 4746, 5219, 547, 607, 3059, 10408, 267, 623, 5425, 1568, 936, 7131, 7246, 630, 10193, 1572, 4959, 268, 4817, 1070, 717, 15551, 267, 543, 3345, 1977, 570, 291, 7246, 630, 10193, 1572, 4959, 268, 15793, 264, 2011, 17103, 269, 8422, 540, 519, 1034, 1271, 23243, 2934, 540, 623, 5425, 1949, 616, 912, 268, 1358, 616, 4625, 3059, 454, 268, 1358, 7500, 693, 519, 476, 5002, 271, 300, 13703, 4908, 2039, 630, 684, 3697, 824, 10408, 1949, 602, 7500, 538, 519, 476, 8517, 300, 13703, 4908, 2039, 994, 268, 1358, 666, 581, 1031, 18368, 454, 303, 5425, 568, 513, 2034, 22831, 5985, 10618, 2029, 563, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 16158, 31638, 781, 2875, 8924, 5180, 1575, 786, 948, 596, 547, 1732, 10891, 707, 1362, 8430, 543, 3251, 593, 1283, 540, 10467, 543, 6780, 269, 3367, 2859, 9732, 736, 18467, 547, 10374, 523, 513, 15745, 454, 2252, 596, 991, 547, 2110, 523, 513, 1279, 15745, 2119, 713, 1592, 540, 476, 736, 1863, 2228, 2699, 3925, 2533, 269, 3367, 2859, 9732, 12749, 476, 1015, 15306, 16301, 540, 476, 1001, 276, 454, 763, 1034, 2442, 5680, 31638, 8847, 540, 476, 1001, 276, 269, 3367, 2859, 19314, 1607, 5680, 31638, 1353, 3391, 6257, 519, 1114, 2694, 540, 513, 2780, 1062, 543, 741, 1894, 269, 3367, 2859, 9732, 15187, 1740, 26386, 5530, 6651, 454, 15187, 11529, 17950, 11414, 519, 2679, 7161, 540, 2413, 3060, 1374, 269, 6258, 1114, 2010, 540, 5121, 267, 2035, 267, 6189, 543, 1862, 3367, 2859, 9732, 763, 12866, 9198, 725, 540, 23675, 454, 9596, 827, 1142, 540, 519, 2947, 5481, 540, 5904, 543, 2101, 2029, 7835, 602, 723, 3366, 547, 519, 1699, 3457, 602, 649, 946, 2221, 269, 3367, 2859, 9732 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8698, 4653, 781, 21480, 454, 763, 20570, 4741, 568, 519, 7467, 779, 14266, 2966, 585, 1453, 267, 4332, 547, 476, 279, 1296, 267, 543, 741, 15637, 269, 20570, 4741, 5234, 543, 13538, 1489, 1762, 1453, 543, 741, 15637, 676, 2502, 538, 13241, 630, 16631, 5303, 7177, 4569, 264, 1644, 2238, 267, 6901, 543, 7391, 269, 3776, 13538, 4217, 8436, 607, 789, 2263, 1483, 3615, 630, 3697, 7633, 610, 15455, 264, 689, 519, 7467, 779, 4015, 267, 946, 2257, 2645, 630, 3697, 10398, 22863, 610, 3172, 4328, 14485, 1070, 543, 1451, 998, 27642, 1404, 538, 938, 21044, 15225, 269, 21816, 17621, 3705, 1562, 616, 3177, 2866, 538, 2553, 585, 2502, 8436, 538, 2085, 29003, 13241, 1565, 267, 607, 1134, 607, 538, 513, 2647, 2039, 540, 1543, 2127, 630, 10175, 7350, 267, 7998, 267, 6323, 267, 543, 20569, 1040, 3776, 3804, 568, 547, 948, 1453, 1020, 741, 6932, 2257, 543, 4702, 1983, 267, 543, 948, 2937, 15637, 1732, 1174, 519, 3621, 1353, 540, 1126, 1646, 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 ]
[ 0, 258, 476, 20881, 496, 25051, 496, 420, 370, 483, 28793, 8147, 420, 377, 361, 20992, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 454, 5035, 8827, 912, 825, 1219, 1003, 307, 4181, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 952, 711, 562, 912, 2018, 2132, 476, 271, 454, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2652, 476, 273, 912, 2018, 2132, 476, 273, 454, 1038, 1948, 17276, 510, 373, 29004, 362, 26266, 355, 9463, 367, 31878, 21550, 495, 7511, 420, 488, 480, 30536, 21550, 495, 13213, 505, 27310, 18777, 350, 28997, 501, 454, 1038, 31185, 815, 1496, 271, 316, 2608, 630, 333, 1341, 476, 272, 994, 1038, 31185, 314, 271, 3910, 31185, 314, 272, 3910, 31185, 314, 273, 316, 815, 476, 271, 267, 476, 272, 267, 476, 273, 692, 1038, 585, 1775, 538, 2039, 263, 274, 267, 562, 1341, 476, 272, 2187, 2018, 1948, 476, 20069, 22047, 31878, 21550, 495, 420, 488, 480, 30536, 12255, 20992, 271, 454, 2018, 31575, 815, 476, 273, 2608, 31185, 5157, 910, 476, 272, 2639, 2018, 1948, 476, 31878, 21550, 495, 420, 488, 480, 30536, 12255, 421, 25693, 21251, 20992, 271, 454, 2018, 585, 795, 538, 2039, 263, 272, 267, 1775, 910, 476, 272, 2187, 3546, 31575, 6834, 31185, 14728, 316, 2608, 31185, 5157, 910, 795, 910, 476, 272, 2639, 2018, 31185, 5157, 316, 815, 31575, 692, 1038, 2132, 31185, 19559, 2639 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1715, 9906, 781, 13129, 4518, 270, 14503, 648, 1338, 454, 293, 3271, 12664, 775, 267, 513, 2749, 540, 7977, 543, 3854, 540, 519, 11662, 540, 23509, 630, 27852, 333, 2763, 1070, 568, 13883, 538, 519, 14860, 540, 519, 1488, 7224, 269, 634, 11662, 540, 9605, 333, 2763, 814, 606, 1858, 540, 476, 273, 267, 25228, 4009, 5195, 267, 609, 513, 2551, 540, 476, 4200, 276, 267, 271, 4366, 269, 634, 10661, 1934, 538, 476, 5908, 275, 543, 476, 5908, 276, 540, 519, 10160, 540, 519, 7969, 2229, 729, 519, 1797, 540, 2810, 519, 2749, 547, 5176, 5595, 922, 5449, 6708, 269, 634, 8783, 2679, 538, 519, 2749, 568, 519, 26720, 267, 519, 13210, 540, 799, 941, 9788, 538, 476, 15782, 279, 282, 1247, 538, 476, 6642, 278, 519, 8737, 2679, 729, 20114, 609, 1390, 533, 20234, 538, 519, 4527, 540, 519, 7969, 19988, 338, 269, 634, 26434, 6039, 7812, 19664, 334, 607, 513, 2203, 585, 853, 269, 8834, 781, 269, 634, 5939, 3568, 18810, 676, 7812, 19664, 334, 543, 824, 4583, 5159, 269, 1703, 616, 1082, 824, 3946, 727, 13039, 538, 23509, 267, 5627, 513, 5763, 540, 10367, 543, 17001, 269, 7324, 519, 4583, 5493, 2167, 616, 19129, 645, 1173, 10314, 267, 966, 1815, 577, 1470, 267, 6178, 18319, 267, 772, 742, 714, 328, 267, 623, 8636, 328, 267, 26548, 15258, 328, 543, 853, 549, 3960, 328, 269, 634, 623, 8636, 328, 19289, 3568, 519, 3084, 5399, 267, 609, 476, 1220, 267, 1822, 12531, 543, 476, 1015, 267, 1822, 22251, 267, 543, 519, 4583, 19953, 660, 710, 19922, 540, 1148, 267, 11423, 476, 2537, 11623, 269, 634, 2749, 540, 23509, 16204, 836, 8385, 689, 674, 625, 1961, 267, 693, 519, 3723, 540, 799, 621, 6013, 6905, 269, 769, 519, 476, 1556, 628, 2540, 621, 729, 581, 4302, 520, 1117, 547, 15352, 27068, 23446, 267, 543, 267, 896, 519, 4027, 540, 7507, 267, 2968, 513, 2749, 540, 2956, 269, 1635, 476, 10219, 271, 621, 1185, 1831, 835, 540, 519, 1101, 4872, 540, 7977, 543, 4371, 922, 1747, 585, 1082, 1296, 269, 769, 476, 16328, 279, 519, 3109, 2669, 5645, 1055, 476, 1911, 267, 1822, 540, 519, 2749, 781, 11317, 269, 769, 476, 13923, 280, 519, 2749, 729, 14850, 773, 3022, 676, 606, 7952, 896, 519, 5918, 651, 540, 21060, 543, 267, 8593, 4119, 269, 476, 279, 267, 476, 14631, 271, 269, 2991, 519, 11156, 540, 519, 8087, 10806, 540, 7977, 267, 23509, 4371, 519, 2990, 540, 1008, 29850, 3854, 689, 476, 5908, 275, 547, 476, 6942, 272, 269, 4706, 2551, 568, 827, 476, 25375, 267, 1822, 269, 769, 1148, 23509, 6585, 513, 2189, 1747, 267, 519, 19953, 660, 710, 1153, 1373, 519, 1034, 1271, 538, 7977, 269, 769, 3332, 922, 2990, 568, 15991, 1447, 1271, 267, 607, 568, 1140, 6479, 676, 519, 4408, 540, 667, 14397, 543, 645, 11484, 18153, 334, 269, 6423, 11427, 267, 9986, 13023, 656, 781, 634, 631, 5474, 540, 23509, 282, 15570, 7219, 781, 631, 1941, 902, 538, 23509, 282, 6723, 18379, 582, 781, 7931, 7637, 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 ]
[ 0, 3698, 3193, 273, 3287, 267, 586, 2187, 825, 952, 1535, 3436, 586, 912, 1038, 2132, 1535, 454, 825, 2132, 586, 7531, 3698, 3193, 274, 3287, 267, 586, 267, 1990, 2187, 825, 2132, 3193, 273, 3287, 267, 3193, 273, 12169, 267, 1990, 264, 9239, 2745, 32384, 273, 263, 276, 267, 476, 280, 4917, 2745, 32384, 274, 263, 6507, 267, 476, 1015, 267, 476, 7597, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2710, 596, 917, 1946, 596, 666, 25920, 2066, 4672, 286, 898, 779, 711, 1317, 4672, 568, 31868, 2044, 269, 9400, 19264, 13427, 543, 13744, 5500, 29928, 6542, 519, 2257, 3297, 4672, 1236, 908, 1247, 3843, 547, 2226, 741, 3666, 2336, 414, 508, 350, 4427, 18285, 281, 5291, 2517, 4226, 269, 569, 21610, 520, 10481, 334, 29771, 454, 10666, 594, 9894, 333, 1406, 5700, 2334, 912, 10521, 4853, 3744, 267, 9400, 19264, 13427, 543, 13744, 5500, 29928, 267, 2491, 519, 2257, 3297, 4948, 1272, 2507, 689, 17196, 9065, 839, 547, 25588, 513, 9114, 18785, 563, 7476, 2859, 2817, 22127, 912, 302, 24810, 13505, 281, 5291, 2517, 4226, 269, 569, 21610, 520, 10481, 334, 302, 24810, 306, 924, 454, 10666, 2817, 22127, 912, 13233, 22127, 568, 519, 1158, 779, 14167, 10278, 585, 2257, 267, 3408, 267, 543, 7045, 269, 3414, 741, 1158, 11665, 3744, 267, 21706, 267, 20859, 267, 543, 32349, 267, 14844, 2983, 334, 4991, 596, 6251, 547, 519, 2984, 602, 2339, 543, 2250, 519, 6316, 540, 1018, 779, 2009, 563, 763, 3163, 19992, 10979, 4787, 908, 1923, 594, 9894, 333, 1406, 5700, 2334 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1032, 649, 1665, 513, 1298, 32418, 540, 519, 12176, 540, 2622, 2782, 594, 269, 901, 2680, 568, 5702, 1644, 547, 938, 1888, 281, 519, 4098, 540, 4436, 13567, 540, 519, 4425, 1335, 1014, 14924, 538, 4728, 476, 4350, 280, 269, 1677, 1246, 519, 6090, 529, 540, 713, 6935, 649, 1590, 979, 1394, 547, 519, 7671, 31060, 966, 528, 1706, 331, 3512, 538, 476, 7277, 279, 269, 2334, 9872, 729, 5275, 606, 2626, 547, 519, 2243, 1018, 1131, 513, 19618, 5125, 1413, 899, 267, 2436, 621, 1131, 581, 968, 19136, 892, 610, 968, 22102, 6100, 634, 1101, 2856, 540, 4436, 6239, 2342, 7902, 538, 519, 10206, 540, 14600, 974, 548, 1755, 11985, 269, 634, 16586, 267, 607, 519, 4589, 540, 519, 2856, 5156, 543, 9070, 730, 267, 941, 13886, 547, 519, 3056, 1909, 538, 602, 1858, 19962, 547, 741, 10340, 267, 2686, 543, 2804, 15657, 269, 6270, 513, 1804, 267, 6239, 7232, 2202, 17253, 5125, 729, 849, 519, 2832, 540, 519, 14181, 564, 1263, 9007, 3084, 1235, 543, 741, 4655, 609, 519, 16231, 3609, 538, 15212, 729, 3976, 12592, 811, 2520, 641, 7035, 1227, 982, 1175, 607, 513, 968, 332, 699, 892, 6803, 4655, 269, 14600, 974, 548, 1755, 11985, 27648, 5125, 779, 1292, 2112, 3804, 538, 519, 3689, 2622, 2782, 267, 607, 9863, 676, 4515, 269, 674, 761, 345, 674, 29531, 538, 1010, 5458, 960, 602, 4436, 12206, 267, 3226, 1346, 540, 4587, 5108, 267, 7620, 10353, 267, 543, 1256, 554, 730, 269, 634, 13567, 540, 4425, 1335, 1014, 14924, 676, 5125, 538, 4728, 476, 4350, 280, 27648, 835, 540, 519, 1007, 11271, 540, 519, 14600, 974, 548, 1755, 11985, 5741, 7550, 543, 8045, 676, 519, 21647, 269, 898, 729, 9277, 547, 581, 6905, 543, 1331, 782, 1715, 2342, 6417, 676, 873, 269, 4706, 3140, 6090, 529, 1590, 711, 2887, 883, 21933, 643, 542, 267, 607, 1510, 621, 606, 1271, 851, 540, 7778, 540, 519, 3123, 267, 2631, 543, 2621, 540, 519, 476, 1428, 4728, 476, 4350, 280, 1131, 581, 7508, 269, 2552, 18556, 2456, 666, 1745, 621, 267, 12206, 1058, 2697, 621, 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 ]
[ 0, 7212, 519, 8360, 6980, 13204, 15249, 1978, 4992, 513, 3787, 7294, 267, 855, 538, 4641, 1082, 540, 721, 723, 10057, 713, 2186, 540, 1426, 3688, 1317, 6502, 269, 670, 13273, 512, 596, 1185, 4453, 338, 267, 986, 529, 1231, 607, 1134, 607, 585, 602, 19160, 929, 17480, 543, 3284, 878, 1824, 286, 15020, 1134, 789, 616, 10416, 5613, 602, 723, 1044, 13204, 3603, 865, 607, 547, 5352, 873, 1279, 2063, 269, 1924, 267, 10416, 13204, 7992, 519, 1426, 568, 2356, 547, 5818, 519, 15808, 6228, 689, 519, 6980, 1317, 1271, 6712, 540, 602, 568, 3274, 1175, 1216, 269, 4826, 5787, 919, 519, 1576, 540, 2962, 540, 1426, 9178, 543, 7512, 519, 1646, 540, 4551, 269, 2521, 856, 519, 3095, 5291, 2517, 5886, 1723, 25988, 1372, 5139, 15249, 269, 933, 20623, 569, 2593, 28918, 1809, 950, 621, 568, 2965, 13204, 3603, 621, 1522, 581, 12873, 547, 1205, 513, 6905, 942, 269, 2423, 17067, 18024, 540, 6980, 729, 5645, 856, 6923, 676, 10825, 519, 18233, 543, 2569, 6980, 1282, 519, 3141, 269, 901, 2731, 568, 19038, 585, 9634, 602, 4755, 547, 581, 18519, 519, 1747, 972, 568, 6157, 3665, 7509, 4930, 1247, 538, 519, 2011, 563, 9827, 3141, 15018, 568, 1419, 513, 3339, 5650, 602, 3112, 581, 5340, 2899, 519, 2916, 4713, 616, 711, 15028, 585, 602, 2014, 649, 723, 1631, 1426, 13204, 21116, 602, 1281, 519, 2816, 540, 3478, 7759, 540, 3063, 7509, 998, 519, 3536, 676, 20392, 621, 547, 513, 7928, 543, 11931, 2837, 609, 2011, 2095, 547, 2327, 602, 519, 1426, 786, 1205, 3144, 1416, 540, 2489, 563, 288, 1426, 13204, 15249, 666, 581, 8246, 1312, 29143, 1227, 543, 20749, 269, 1411, 1223, 2149, 782, 12204, 540, 5613, 10448, 543, 1256, 11922, 538, 621, 799, 666, 581, 10375, 569, 1031, 950, 789, 979, 856, 540, 4005, 269, 1851, 519, 1592, 540, 4909, 3390, 547, 1205, 3144, 883, 7156, 568, 621, 11129, 547, 581, 6534, 593, 519, 1697, 2837, 547, 2327, 602, 519, 7509, 568, 17515, 689, 707, 3536, 6221, 1282, 519, 5078, 6073, 269, 898, 568, 513, 3500, 5650, 543, 596, 1058, 711, 8263, 621, 547, 581, 8737, 6385, 269, 901, 666, 581, 3500, 568, 2356, 547, 581, 1978, 602, 519, 7509, 1543, 1570, 568, 17515, 1256, 689, 519, 3330, 593, 519, 3536, 6221, 269, 4746, 2362, 2837, 786, 1152, 1118, 519, 6980, 979, 9157, 689, 13964, 1498, 621, 1131, 4163, 593, 547, 581, 972, 827, 519, 1369, 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, 299, 31631, 2177, 2443, 12697, 547, 4786, 519, 3003, 5836, 6989, 676, 476, 10711, 271, 616, 2469, 6619, 5103, 519, 2591, 540, 519, 11452, 6433, 267, 8387, 3056, 519, 1788, 1767, 267, 609, 3592, 513, 11359, 4988, 865, 2484, 563, 14722, 2161, 519, 27177, 540, 519, 5836, 6989, 568, 1447, 1134, 1634, 982, 519, 7252, 540, 9370, 267, 22358, 610, 19026, 543, 602, 5750, 532, 519, 3178, 543, 3337, 540, 519, 26026, 539, 786, 948, 1174, 519, 1764, 12084, 723, 593, 519, 3618, 779, 2916, 563, 339, 777, 1934, 547, 1294, 824, 7044, 689, 938, 2319, 563, 2026, 519, 1158, 779, 5836, 4346, 9428, 538, 4947, 1296, 267, 1239, 786, 849, 581, 4105, 547, 5818, 1702, 540, 7286, 8134, 543, 7286, 1272, 607, 1134, 607, 2104, 1426, 3761, 3270, 563, 5353, 629, 539, 476, 10711, 271, 267, 799, 568, 2324, 547, 3142, 1927, 782, 2139, 8602, 2096, 13011, 1239, 547, 3132, 513, 3102, 4786, 1767, 593, 10732, 602, 519, 1858, 25528, 1185, 24111, 689, 476, 1428, 260, 547, 476, 866, 260, 538, 519, 2063, 1032, 267, 689, 1152, 476, 277, 260, 950, 519, 11036, 3459, 538, 476, 1001, 278, 563, 2108, 7021, 519, 1985, 1032, 267, 649, 18783, 2147, 2157, 540, 1239, 7418, 998, 23190, 540, 21287, 1570, 543, 267, 607, 5046, 9993, 705, 622, 267, 1007, 1239, 689, 12220, 267, 9635, 1098, 1080, 543, 15624, 27126, 2223, 1788, 8689, 16092, 5062, 28061, 268, 4942, 650, 2354, 5143, 1234, 26407, 538, 8292, 547, 14626, 728, 609, 2622, 10281, 5766, 1429, 344, 4303, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5194, 32263, 3018, 538, 13491, 20445, 2336, 1103, 1148, 267, 649, 19927, 827, 10906, 717, 1077, 543, 2813, 938, 1378, 2458, 1137, 6273, 676, 1200, 11247, 269, 769, 2257, 649, 5941, 17571, 267, 15559, 267, 543, 575, 13293, 543, 1287, 19500, 856, 1373, 1142, 1533, 540, 2339, 563, 2171, 723, 3323, 547, 2263, 4390, 543, 2527, 538, 13004, 543, 1336, 621, 4101, 693, 1101, 855, 649, 616, 4358, 547, 1205, 621, 269, 769, 2296, 267, 649, 1031, 11918, 4580, 547, 1265, 5013, 827, 519, 2916, 6433, 547, 948, 721, 2328, 5022, 1985, 3018, 563, 2171, 849, 13736, 938, 1983, 593, 15072, 538, 7384, 609, 11427, 717, 584, 2284, 269, 1284, 7307, 547, 1118, 1614, 1114, 3197, 1847, 538, 519, 813, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 300, 1897, 540, 1895, 534, 4519, 6965, 519, 9390, 539, 2777, 519, 9390, 539, 2777, 267, 519, 10584, 18459, 512, 3317, 903, 517, 264, 941, 18674, 676, 1200, 1702, 540, 519, 1568, 540, 519, 519, 16750, 799, 729, 15400, 630, 9917, 2899, 3576, 851, 538, 513, 521, 2946, 766, 609, 620, 15728, 269, 634, 9390, 539, 2777, 676, 10564, 620, 15728, 18459, 512, 3317, 903, 517, 1272, 543, 2219, 723, 8854, 2476, 2427, 676, 2427, 267, 682, 822, 269, 21238, 18459, 512, 3317, 903, 517, 521, 6648, 513, 24214, 6202, 6780, 4081, 1603, 3028, 1010, 6648, 15385, 519, 3046, 267, 606, 13423, 7469, 540, 12204, 513, 24214, 6202, 519, 9390, 539, 2777, 563, 4517, 1265, 6780, 948, 585, 824, 620, 15728, 267, 18459, 512, 3317, 903, 517, 2055, 693, 679, 4925, 538, 2543, 547, 512, 3317, 903, 517, 781, 6648, 519, 9390, 539, 2777, 267, 835, 630, 514, 1931, 547, 1106, 513, 563, 2108, 810, 649, 3513, 979, 1100, 811, 513, 887, 1324, 5608, 676, 18459, 676, 1258, 630, 613, 5282, 575, 20423, 264, 9890, 676, 986, 1597, 571, 9109, 1923, 5104, 569, 476, 276, 519, 9390, 539, 2777, 676, 620, 15728, 512, 3317, 903, 517, 1272, 543, 563, 22437, 2114, 267, 676, 620, 15728, 512, 3317, 903, 517, 267, 729, 513, 1079, 31891, 476, 7277, 273, 4015, 538, 799, 1007, 519, 9390, 539, 2777, 568, 513, 6648, 2854, 676, 620, 15728, 18459, 512, 3317, 903, 517, 538, 476, 8146, 271, 11783, 14730, 2777, 267, 676, 799, 2899, 811, 1775, 521, 538, 8357, 3554, 513, 554, 554, 281, 476, 7761, 1567, 652, 23524, 3976, 835, 540, 519, 8783, 7506, 538, 620, 15728, 18459, 512, 3317, 903, 517, 781, 1272, 729, 818, 11037, 10689, 2006, 563, 299, 867, 620, 15728, 512, 3317, 903, 517, 267, 620, 15728, 18459, 512, 3317, 903, 517, 267, 325, 13904, 10564, 267, 9954, 267, 6965, 543, 519, 1554, 1673, 3195, 267, 11428, 1629, 2678, 543, 829, 572, 7483, 267, 519, 9390, 539, 2777, 11783, 31888, 676, 620, 15728, 512, 3317, 903, 517, 7005, 10564, 740, 5202, 16822, 542, 519, 9390, 539, 2777, 513, 546, 597, 613, 513, 5326, 540, 4023, 561, 27482, 25437, 2917, 10689, 519, 18459, 540, 3276, 548, 662, 563, 16240, 538, 476, 7277, 273, 547, 1010, 3659, 620, 15728, 546, 2210, 339, 267, 945, 1185, 32164, 3603, 547, 543, 1412, 1492, 11688, 704, 1938, 262, 1107, 543, 519, 1412, 9188, 1068, 539, 2777, 262, 1107, 543, 1412, 22336, 2251, 602, 568, 269, 634, 2038, 1296, 540, 620, 15728, 267, 18459, 512, 3317, 903, 517, 267, 2705, 267, 616, 1259, 1055, 519, 5339, 15805, 649, 2811, 538, 1474, 619, 2421, 267, 513, 18296, 540, 476, 1556, 8075, 2282, 24076, 538, 694, 7672, 14252, 267, 3504, 3618, 4103, 543, 9390, 539, 13039, 909, 6371, 344, 13475, 269, 634, 9390, 539, 2777, 676, 620, 15728, 512, 3317, 903, 517, 267, 476, 272, 560, 3046, 517, 1196, 24792, 804, 732, 1338, 588, 539, 2006, 267, 1196, 476, 6245, 276, 513, 4619, 20187, 16320, 1108, 267, 476, 8146, 278, 268, 6245, 276, 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 ]
[ 0, 8802, 3588, 10606, 543, 18023, 1559, 563, 11847, 8793, 6356, 528, 282, 26268, 821, 454, 27839, 1154, 1448, 267, 11019, 290, 454, 12739, 910, 476, 10204, 454, 295, 1794, 1841, 543, 10466, 563, 16605, 17401, 6806, 563, 310, 792, 1582, 8410, 22633, 7244, 17102, 267, 12285, 25192, 267, 543, 5230, 12285, 17309, 563, 306, 933, 788, 909, 267, 1747, 538, 513, 9126, 543, 3180, 585, 3653, 12871, 269, 3680, 9870, 7452, 269, 20764, 30968, 1858, 543, 11547, 21383, 3135, 1310, 1570, 4584, 1575, 568, 2347, 563, 1805, 762, 693, 3339, 5210, 543, 12503, 563, 1805, 3994, 12444, 1944, 8069, 563, 27793, 24785, 267, 12539, 8166, 563, 15761, 3907, 880, 1210, 4826, 10936, 269, 12539, 8166, 267, 3819, 3114, 8869, 267, 610, 3617, 17371, 269, 23203, 1582, 8410, 22633, 7244, 17102, 543, 8825, 7802, 547, 2061, 3346, 609, 2960, 543, 4064, 563, 10387, 1080, 6757, 32669, 896, 3595, 2175, 563, 295, 1301, 995, 269, 17290, 2963, 540, 513, 15910, 8328, 1198, 269, 667, 9734, 540, 3978, 3441, 547, 1072, 676, 12675, 4598, 269, 27010, 1418, 4433, 2567, 3115, 8793, 1062, 269, 2836, 604, 269, 11330, 269, 476, 4792, 10285, 9651, 563, 9802, 581, 5739, 952, 15179, 539, 563, 300, 1468, 949, 581, 8886, 908, 547, 29935, 17011, 543, 5580, 7929, 8778, 269, 2904, 581, 5739, 952, 31067, 563, 9802, 2014, 2960, 16698, 269, 2904, 581, 5739, 952, 12842, 998, 519, 2960, 563, 9802, 2014, 3750, 16698, 563, 2252, 15179, 539, 267, 11547, 856, 5023, 609, 1216, 3177, 1268, 568, 6857, 269, 11910, 513, 10629, 563, 2252, 31067, 267, 4894, 547, 4195, 2011, 269, 1403, 711, 7244, 2285, 5841, 19344, 269, 1403, 7244, 568, 2352, 267, 2285, 5135, 563, 1103, 2013, 540, 2960, 3346, 267, 23574, 609, 2941, 1190, 5666, 540, 1216, 585, 693, 2547, 476, 1428, 3764, 269, 17179, 13572, 7802, 543, 10887, 269, 11910, 513, 10629, 563, 1103, 2013, 540, 3346, 609, 4064, 267, 23574, 609, 2941, 1190, 5666, 540, 1216, 585, 693, 2547, 476, 1428, 3764, 269, 2667, 675, 7850, 1166, 5241, 676, 19459, 519, 22442, 1749, 609, 11263, 269, 11910, 513, 10629, 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 ]
[ 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 327, 342, 1556, 1606, 565, 692, 258, 554, 342, 1556, 1606, 565, 910, 8525, 476, 272, 589, 2798, 8791, 476, 866, 269, 272, 9046, 476, 273, 5416, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 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, 8525, 476, 272, 12143, 476, 1556, 476, 1911, 2798, 8791, 476, 866, 269, 272, 9046, 476, 273, 2433, 630, 320, 264, 15474, 282, 630, 321, 264, 20134, 282, 630, 322, 264, 20023, 282, 630, 323, 264, 20023, 282, 630, 324, 264, 20023, 269, 9046, 476, 1321, 2433, 519, 13551, 6013, 538, 519, 7077, 7790, 1341, 476, 273, 7790, 815, 476, 273, 1547, 1924, 476, 273, 1341, 568, 513, 3339, 6152, 543, 476, 272, 476, 276, 630, 273, 1341, 3738, 568, 513, 1770, 3339, 6152, 269, 4595, 713, 1448, 568, 538, 1312, 2318, 1535, 1673, 3925, 543, 519, 2318, 1990, 1673, 3925, 267, 621, 568, 606, 10066, 585, 713, 2627, 269, 4595, 519, 1858, 540, 519, 13551, 568, 476, 276, 2073, 649, 723, 815, 476, 273, 1341, 543, 7790, 815, 476, 273, 1341, 476, 274, 7790, 1341, 476, 276, 476, 273, 1341, 815, 476, 280, 1547, 9046, 476, 2190, 2433, 7790, 286, 815, 815, 5430, 815, 476, 277, 815, 476, 277, 476, 275, 476, 273, 476, 273, 815, 476, 9834, 8791, 476, 866, 269, 273, 9046, 476, 273, 2433, 7790, 1341, 7790, 815, 7790, 1341, 7790, 630, 476, 274, 1341, 7790, 1341, 3738, 7790, 476, 272, 476, 273, 815, 476, 274, 7790, 1341, 7790, 476, 272, 476, 273, 815, 476, 272, 9046, 476, 1321, 2433, 815, 7790, 1341, 7790, 1341, 7790, 815, 7790, 1341, 7790, 1341, 630, 272, 7790, 3738, 630, 7790, 7790, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 1548, 1053, 616, 6031, 692, 1892, 1306, 513, 1699, 2875, 593, 713, 536, 17056, 1908, 326, 5573, 13374, 267, 594, 16686, 2390, 6092, 15552, 267, 1141, 594, 666, 1265, 1353, 2200, 585, 5176, 782, 1250, 6030, 267, 1205, 2228, 948, 689, 21493, 476, 2190, 270, 278, 267, 543, 1256, 2671, 1250, 2025, 3785, 267, 4574, 267, 543, 11000, 4967, 609, 824, 1053, 780, 298, 597, 534, 13527, 2160, 16737, 3427, 540, 6355, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 594, 3112, 1256, 4766, 875, 1454, 6092, 15552, 5280, 803, 713, 4832, 269, 898, 779, 5963, 1831, 1945, 594, 666, 2141, 7048, 593, 543, 948, 803, 269, 769, 519, 1439, 267, 594, 729, 711, 1152, 2111, 547, 7639, 4832, 5049, 267, 855, 594, 729, 2111, 547, 8853, 7064, 547, 6092, 15552, 780, 291, 3570, 2160, 540, 12425, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 634, 2702, 547, 1569, 1022, 6280, 779, 2200, 998, 6092, 15552, 9863, 17170, 538, 1250, 2013, 269, 594, 729, 3297, 593, 570, 592, 2033, 17440, 543, 2965, 1031, 17459, 6369, 779, 2326, 547, 948, 803, 1847, 4464, 543, 1205, 3388, 1927, 593, 942, 780, 297, 650, 570, 592, 2033, 2160, 2048, 1626, 267, 6092, 15552, 2902 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7072, 547, 18218, 4149, 728, 14691, 454, 288, 7746, 20933, 7097, 532, 1893, 568, 513, 5752, 1893, 2966, 585, 519, 1646, 540, 6422, 1357, 3817, 543, 3156, 602, 2196, 593, 513, 1357, 7746, 269, 9521, 7817, 20933, 7097, 532, 4654, 267, 799, 616, 13401, 593, 519, 3593, 779, 11422, 267, 7746, 20933, 20072, 616, 9268, 593, 519, 1357, 7746, 1354, 519, 4611, 1543, 568, 2366, 547, 519, 3593, 779, 11422, 563, 306, 13996, 20933, 7097, 532, 568, 4122, 1031, 547, 5352, 6422, 1357, 3817, 267, 6023, 1106, 22347, 3827, 267, 2170, 609, 12240, 267, 543, 1685, 824, 7746, 20933, 4247, 269, 634, 7746, 20933, 7097, 568, 3743, 585, 4393, 13668, 267, 7900, 26398, 267, 543, 10451, 14103, 610, 824, 1543, 29858, 1759, 593, 519, 3593, 779, 3403, 610, 1808, 2175, 563, 14300, 540, 2442, 7746, 20933, 7097, 532, 4654, 1331, 912, 268, 23285, 281, 589, 4922, 268, 4310, 7097, 532, 1893, 2966, 585, 1357, 1646, 269, 23285, 568, 11251, 1369, 14103, 3009, 543, 666, 581, 13401, 593, 519, 7746, 547, 5352, 6422, 1543, 563, 268, 5124, 630, 5976, 10850, 899, 30622, 24546, 610, 4469, 2532, 2567, 5124, 568, 513, 11684, 5752, 1893, 1031, 585, 1585, 3156, 267, 1519, 1357, 1646, 269, 5680, 10850, 899, 30622, 24546, 543, 4469, 2532, 7520, 7746, 20933, 7097, 532, 538, 5124, 563, 268, 25007, 630, 5976, 25007, 593, 681, 5661, 2567, 25007, 568, 513, 6422, 543, 1843, 15129, 5752, 1893, 267, 543, 25007, 593, 681, 5661, 568, 513, 1357, 5943, 602, 29776, 519, 1646, 540, 1357, 3156, 1210, 25007, 563, 268, 10084, 630, 5976, 10084, 306, 13996, 9664, 1107, 808, 9915, 2567, 10084, 568, 513, 2489, 26928, 5752, 1893, 1419, 1031, 585, 13055, 7400, 3156, 269, 10084, 306, 13996, 9664, 630, 297, 9915, 264, 568, 513, 2029, 602, 6087, 519, 5137, 540, 6422, 1357, 3817, 1210, 10084, 563, 268, 595, 258, 630, 5976, 6789, 303, 12991, 4953, 2567, 595, 258, 568, 513, 5752, 1893, 2919, 676, 9786, 267, 543, 6789, 303, 12991, 4953, 568, 513, 1357, 5943, 602, 2636, 9367, 547, 1628, 6422, 1357, 3156, 1210, 595, 258, 563, 306, 13996, 20933, 7097, 532, 4654, 1404, 513, 2629, 1909, 538, 519, 1646, 540, 1357, 3156, 267, 7175, 519, 5137, 540, 7317, 543, 1239, 12454, 7270, 676, 4393, 3593, 3403, 543, 15025, 609, 12240, 543, 824, 7746, 20933, 2200, 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 ]
[ 0, 258, 12719, 960, 2944, 676, 11508, 692, 296, 1616, 547, 5173, 519, 960, 2944, 676, 11508, 952, 519, 3259, 1269, 299, 259, 540, 7833, 18052, 593, 519, 3349, 15942, 1055, 269, 1703, 568, 11508, 1063, 519, 10260, 543, 519, 3349, 609, 11664, 540, 15452, 11508, 4399, 14153, 17624, 16859, 2330, 310, 815, 1422, 842, 674, 1422, 10383, 546, 1422, 11355, 346, 338, 6525, 594, 1589, 621, 1131, 581, 281, 3230, 310, 3709, 325, 337, 348, 815, 1422, 2765, 631, 700, 575, 1422, 842, 3709, 271, 8703, 299, 348, 15848, 9681, 3719, 519, 3435, 630, 6518, 1223, 581, 19451, 264, 2161, 281, 3230, 323, 310, 3709, 325, 337, 348, 815, 1422, 14153, 17624, 1422, 2765, 631, 700, 575, 22773, 1535, 22773, 15848, 2330, 799, 568, 1287, 7471, 780, 19675, 972, 581, 606, 1269, 343, 259, 538, 519, 7533, 286, 594, 1810, 1405, 1589, 972, 1058, 581, 1317, 596, 616, 2040, 2719, 909, 936, 606, 31208, 2572, 2711, 12761, 1269, 11459, 259, 543, 519, 3196, 540, 11508, 568, 711, 14354, 547, 519, 12761, 693, 1022, 8216, 630, 296, 1589, 6393, 1892, 1684, 596, 917, 602, 707, 4082, 568, 10155, 958, 11234, 888, 1700, 1109, 27398, 454, 14257, 476, 277, 267, 476, 1001, 274, 693, 476, 274, 281, 2767, 692, 4131, 1269, 343, 259, 20301, 519, 3259, 540, 519, 18052, 602, 568, 593, 519, 3349, 267, 1287, 3230, 332, 3287, 264, 815, 1422, 2765, 346, 300, 2410, 299, 26507, 2330, 568, 519, 2527, 540, 519, 18052, 593, 519, 3349, 269, 898, 5205, 602, 519, 3196, 540, 11508, 593, 519, 18052, 593, 519, 3349, 568, 3230, 325, 3287, 264, 815, 1422, 14153, 17624, 544, 3287, 264, 575, 815, 1422, 14153, 17624, 21702, 346, 300, 2410, 299, 26507, 326, 2330, 952, 519, 18052, 7575, 606, 2179, 1269, 11459, 259, 1287, 519, 960, 2944, 676, 11508, 568, 3230, 323, 310, 815, 535, 3287, 264, 11459, 815, 1422, 14153, 17624, 21702, 346, 300, 2410, 299, 348, 326, 343, 15848, 2330 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19506, 9086, 538, 519, 476, 4350, 271, 338, 538, 519, 2475, 602, 568, 2966, 547, 2149, 513, 1126, 17076, 781, 15271, 676, 7263, 1746, 930, 540, 873, 538, 3972, 7482, 729, 3957, 1310, 799, 1412, 330, 573, 262, 888, 12585, 281, 10793, 773, 3213, 25830, 454, 2704, 328, 1162, 281, 10793, 773, 3213, 25830 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 296, 5085, 291, 570, 6020, 4916, 267, 12327, 303, 3633, 296, 16739, 454, 26596, 31883, 632, 2311, 659, 4821, 267, 16266, 454, 2026, 851, 540, 938, 3162, 1977, 7552, 649, 6170, 513, 1906, 2395, 693, 11599, 855, 15805, 344, 5842, 31883, 632, 2311, 659, 4821, 543, 922, 4478, 9855, 6438, 24301, 269, 5842, 31883, 729, 14095, 609, 14666, 855, 621, 1705, 711, 15658, 721, 689, 11981, 519, 2470, 1472, 721, 630, 309, 4150, 632, 3288, 16334, 518, 974, 586, 3288, 700, 10044, 267, 1775, 4318, 269, 519, 9503, 540, 519, 16458, 543, 519, 9855, 267, 631, 4593, 21468, 20698, 3019, 543, 932, 1314, 553, 20698, 3019, 264, 607, 1134, 607, 519, 2199, 9754, 267, 799, 814, 827, 476, 275, 267, 1822, 15693, 338, 630, 21671, 5697, 3688, 1373, 593, 4159, 1070, 544, 27186, 267, 9604, 267, 27022, 543, 4154, 13968, 269, 24511, 267, 538, 476, 1220, 278, 267, 519, 544, 27186, 941, 6569, 689, 519, 4159, 607, 829, 519, 7662, 540, 519, 700, 1157, 534, 656, 599, 1004, 563, 763, 9754, 568, 6131, 547, 519, 2311, 659, 4821, 1004, 543, 2528, 630, 520, 659, 877, 10722, 534, 264, 609, 22300, 4681, 6580, 1394, 476, 275, 267, 1822, 645, 5861, 269, 543, 23217, 5359, 5329, 476, 14596, 267, 1822, 15456, 3615, 543, 476, 1911, 17801, 4919, 3615, 593, 6006, 267, 1519, 3688, 689, 519, 23621, 9774, 27495, 2528, 630, 24992, 476, 6110, 543, 476, 6344, 271, 589, 6185, 12175, 769, 741, 2528, 519, 26804, 543, 519, 7873, 528, 2408, 593, 3615, 540, 1514, 4644, 267, 519, 30060, 11149, 540, 561, 4594, 320, 7633, 267, 543, 519, 14342, 585, 26390, 3215, 5061, 269, 634, 946, 540, 30060, 642, 1162, 543, 4154, 19799, 906, 729, 849, 513, 3090, 540, 4567, 563, 3528, 519, 1032, 476, 13970, 271, 267, 519, 2311, 659, 4821, 2528, 5293, 883, 519, 2531, 514, 542, 540, 519, 5549, 320, 7276, 267, 543, 519, 1381, 547, 519, 3141, 543, 519, 1164, 14805, 1080, 729, 24451, 2390, 519, 1004, 540, 519, 1858, 269, 769, 476, 15150, 271, 267, 519, 2311, 659, 4821, 1004, 1500, 3346, 609, 519, 5053, 9518, 626, 611, 2803, 945, 267, 1310, 9396, 908, 873, 538, 519, 4108, 1931, 267, 12306, 538, 519, 1858, 563, 14630, 281, 5130, 476, 1001, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1554, 267, 1250, 4651, 543, 594, 941, 538, 1899, 547, 4444, 17914, 585, 519, 2235, 639, 1547, 1656, 513, 1920, 729, 7555, 538, 4395, 540, 721, 269, 634, 1920, 1185, 5216, 1453, 269, 4256, 9660, 941, 711, 7199, 855, 2973, 7868, 1453, 14437, 827, 519, 804, 12495, 263, 16532, 19246, 267, 22171, 543, 824, 1919, 31113, 269, 898, 729, 741, 1101, 942, 547, 979, 547, 519, 2235, 639, 269, 634, 19044, 14799, 4280, 519, 4651, 875, 1082, 17914, 646, 4941, 269, 1261, 23217, 12943, 267, 834, 296, 1616, 5216, 1453, 781, 17914, 543, 1079, 4079, 262, 17914, 267, 865, 594, 666, 1491, 1250, 1920, 547, 519, 2235, 639, 1701, 634, 19044, 14799, 1767, 519, 3902, 269, 634, 812, 781, 7385, 22485, 1200, 2212, 543, 972, 729, 1100, 12837, 593, 555, 552, 812, 781, 3068, 269, 1261, 23900, 4280, 267, 834, 1692, 1454, 1705, 476, 596, 2161, 8119, 634, 19044, 14799, 1767, 519, 3902, 1586, 269, 634, 812, 4769, 1405, 723, 2614, 2724, 269, 1215, 1223, 646, 2995, 1010, 5216, 3214, 519, 3983, 3377, 286, 3733, 19033, 2322, 1010, 1688, 883, 1010, 17927, 543, 15504, 856, 513, 1269, 736, 3915, 543, 12628, 621, 593, 519, 2666, 15301, 1103, 1249, 267, 649, 941, 711, 3638, 14386, 3973, 1250, 19033, 1767, 267, 834, 2750, 322, 2224, 803, 267, 27205, 267, 713, 12628, 856, 540, 707, 17927, 1701, 634, 812, 6785, 1018, 729, 2469, 593, 269, 1261, 6743, 883, 1250, 19033, 781, 4064, 267, 4371, 1250, 19033, 781, 1688, 538, 1010, 267, 543, 3576, 519, 1269, 736, 3915, 269, 834, 14188, 596, 267, 27205, 267, 9684, 596, 269, 901, 2731, 1797, 513, 2603, 547, 803, 543, 1250, 1920, 1701, 3733, 4651, 543, 594, 4682, 1394, 1753, 269, 1284, 4769, 1405, 979, 547, 1294, 519, 2235, 639, 602, 3781, 267, 855, 649, 4769, 1405, 1416, 269, 634, 4651, 4941, 547, 4444, 567, 9041, 567, 17914, 563, 271, 269, 2185, 454, 272, 269, 3670, 454, 273, 269, 5216, 454, 274, 269, 4557, 454, 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 ]
[ 0, 300, 1468, 1143, 281, 2052, 621, 1118, 596, 8414, 888, 4692, 717, 7517, 543, 7698, 1143, 1291, 547, 3020, 8788, 286, 968, 294, 7517, 568, 1434, 269, 717, 7517, 568, 1318, 269, 717, 7517, 1568, 543, 26846, 786, 4688, 519, 7330, 1848, 630, 310, 718, 9335, 264, 968, 290, 1021, 649, 616, 2713, 538, 513, 1570, 1158, 543, 594, 993, 513, 1570, 8004, 892, 513, 6249, 538, 835, 540, 8496, 30358, 779, 1034, 4583, 8964, 563, 294, 7517, 543, 1570, 1143, 1796, 538, 813, 3789, 547, 1022, 23314, 540, 3020, 8788, 269, 4658, 616, 896, 513, 7301, 8226, 602, 2724, 786, 4194, 782, 540, 741, 2042, 543, 607, 513, 1267, 3142, 873, 741, 25932, 7772, 543, 8788, 269, 3509, 16895, 267, 15806, 267, 543, 3909, 5515, 2429, 519, 6502, 723, 1201, 3176, 713, 25195, 269, 4658, 538, 1977, 2486, 1491, 2724, 1360, 12517, 1317, 621, 666, 2901, 1118, 610, 2736, 707, 1272, 5079, 269, 769, 1931, 547, 3514, 538, 2221, 779, 2486, 4892, 1745, 519, 991, 547, 3489, 1570, 7221, 865, 602, 789, 616, 6743, 2390, 607, 1373, 968, 514, 2511, 892, 610, 1373, 17215, 6190, 269, 14559, 543, 26846, 568, 519, 1292, 2188, 602, 2014, 1004, 547, 581, 538, 7963, 269, 4658, 2221, 960, 2182, 547, 3489, 5763, 543, 1967, 711, 865, 602, 789, 666, 581, 6126, 855, 1175, 1317, 789, 1616, 547, 968, 18141, 909, 609, 519, 13643, 6100, 14559, 666, 1152, 1118, 596, 6126, 9389, 958, 1317, 952, 596, 616, 2324, 2182, 1175, 865, 602, 596, 666, 4444, 1570, 1919, 596, 2731, 616, 711, 2469, 547, 2972, 873, 1317, 782, 540, 707, 942, 543, 1648, 568, 2322, 883, 4509, 707, 1570, 5763, 676, 2324, 3063, 2182, 563, 2005, 568, 16453, 547, 1589, 602, 2724, 568, 711, 3388, 538, 1272, 267, 4352, 538, 519, 1158, 649, 2661, 538, 707, 711, 2469, 547, 9585, 4376, 610, 1205, 9170, 610, 1256, 2661, 513, 1272, 602, 568, 2808, 3339, 547, 519, 1158, 1510, 2724, 269, 4634, 1498, 596, 3112, 4444, 2648, 610, 8788, 596, 616, 1360, 12691, 547, 1265, 2901, 952, 707, 2713, 896, 513, 8115, 269, 1284, 7048, 593, 2724, 267, 952, 782, 519, 2724, 538, 519, 1158, 20374, 14182, 519, 1158, 267, 607, 649, 917, 621, 1131, 12900, 269, 18421, 568, 4448, 547, 2724, 538, 930, 1259, 269, 18421, 9247, 814, 513, 3902, 11090, 1862 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14079, 8217, 815, 1496, 272, 267, 273, 267, 274, 15947, 14079, 4671, 6269, 548, 815, 630, 272, 267, 273, 267, 274, 3418, 14079, 27133, 815, 2715, 272, 267, 273, 267, 274, 348, 5897, 258, 24464, 3711, 1695, 16988, 2893, 340, 21536, 22462, 1705, 15401, 1592, 1477, 14079, 8217, 6910, 263, 1911, 3418, 2745, 263, 14079, 8217, 3418, 2745, 3488, 2411, 955, 268, 20298, 14079, 4671, 6269, 548, 815, 3446, 4671, 6269, 548, 1341, 630, 275, 267, 3418, 2745, 263, 14079, 4671, 6269, 548, 3418, 2745, 3488, 2411, 955, 268, 20298, 28744, 4756, 1705, 15401, 1592, 1477, 2745, 263, 14079, 8217, 314, 271, 29573, 2745, 263, 14079, 4671, 6269, 548, 314, 274, 29573 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 28038, 7223, 2147, 547, 3689, 28644, 20553, 8298, 334, 476, 277, 281, 25159, 543, 30332, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 7462, 4033, 16776, 602, 9305, 547, 3689, 28644, 20553, 8298, 334, 476, 277, 281, 25159, 543, 30332, 454, 13434, 2720, 542, 269, 28038, 1109, 531, 5040, 269, 20603, 269, 7328, 269, 27122, 269, 14691, 269, 13241, 1109, 268, 1109, 14197, 269, 8298, 334, 269, 19750, 1109, 12244, 269, 7998, 780, 2162, 1703, 616, 476, 280, 2164, 692, 289, 5802, 11762, 3436, 10789, 3436, 28038, 7223, 692, 2162, 3689, 28644, 20553, 8298, 334, 476, 277, 281, 25159, 543, 30332, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 9596, 547, 2328, 5773, 543, 1628, 873, 883, 8298, 334, 3292, 269, 6258, 547, 946, 4632, 780, 2162, 3689, 28644, 20553, 8298, 334, 476, 279, 281, 2859, 827, 25159, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 2237, 513, 8298, 334, 1982, 267, 8380, 538, 4632, 267, 543, 1294, 519, 1198, 950, 596, 1689, 519, 4632, 780, 2162, 2983, 558, 18350, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 288, 9511, 2978, 18705, 538, 513, 6198, 5752, 1893, 269, 5800, 539, 547, 18044, 689, 519, 3312, 28162, 693, 1357, 2593, 18350, 269, 2135, 28482, 16896, 270, 613, 558, 18350, 692, 2162, 23426, 15733, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4322, 22221, 5546, 1142, 1796, 585, 513, 1114, 1297, 269, 2052, 596, 946, 519, 8691, 18304, 547, 960, 856, 1018, 789, 616, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13914, 540, 513, 1297, 543, 1246, 1250, 5528, 269, 15681, 803, 707, 2626, 267, 543, 594, 3513, 2995, 596, 1018, 596, 3323, 609, 256, 2052, 596, 2491, 875, 594, 917, 2496, 2162, 32309, 25285, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8620, 930, 5546, 676, 9256, 1079, 610, 811, 25965, 269, 1548, 666, 596, 2161, 827, 519, 2127, 543, 829, 12281, 540, 519, 5546, 596, 666, 1118, 2496, 2162, 7981, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 7069, 1079, 7857, 1297, 568, 2027, 1317, 4946, 519, 2040, 540, 922, 9704, 547, 519, 1587, 540, 922, 9704, 3947, 803, 1250, 3312, 1297, 269, 1548, 1223, 1250, 1297, 581, 2496, 2162, 9061, 539, 661, 2738, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 15899, 525, 666, 581, 6537, 593, 1297, 21870, 540, 1585, 7306, 269, 1548, 798, 596, 5469, 950, 596, 1039, 6587, 7475, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 19523, 825, 1948, 829, 1104, 541, 3288, 561, 12221, 516, 6319, 2122, 14504, 6319, 454, 604, 12759, 4433, 903, 27769, 341, 264, 3436, 476, 272, 2567, 672, 1948, 23313, 1714, 9930, 3691, 632, 1612, 5451, 5471, 637, 476, 15530, 9120, 513, 476, 272, 269, 476, 15530, 513, 546, 597, 267, 562, 685, 6062, 554, 534, 454, 825, 585, 1775, 538, 19523, 27769, 341, 912, 1038, 1820, 2891, 13640, 600, 834, 1341, 1775, 264, 567, 1948, 1696, 1034, 571, 1714, 29194, 1612, 14504, 5471, 516, 454, 12828, 912, 825, 1820, 2891, 31549, 546, 262, 785, 545, 541, 1714, 9930, 632, 561, 262, 541, 3495, 340, 5602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 3992, 786, 948, 1053, 1174, 2789, 268, 26074, 1913, 998, 519, 946, 540, 7499, 543, 26974, 3740, 6041, 256, 2422, 607, 513, 1796, 17038, 821, 2534, 610, 513, 1489, 3992, 585, 2913, 781, 14424, 543, 25037, 27140, 31157, 2336, 1607, 568, 513, 1390, 2606, 3992, 547, 4001, 1053, 827, 519, 2956, 540, 12383, 950, 2542, 269, 898, 666, 581, 1031, 607, 513, 1796, 4805, 610, 1489, 3992, 585, 519, 28038, 24153, 781, 22544, 3992, 1544, 563, 1103, 713, 3992, 267, 1053, 786, 1451, 875, 547, 1232, 1712, 7164, 1913, 538, 513, 5931, 1210, 2796, 10881, 269, 4841, 786, 581, 5189, 547, 519, 2856, 540, 1727, 657, 2572, 543, 786, 2259, 7114, 1727, 657, 2572, 269, 901, 3992, 666, 581, 1031, 593, 922, 1378, 610, 607, 1489, 585, 519, 3992, 1772, 898, 519, 23893, 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 ]
[ 0, 4131, 781, 2161, 267, 2197, 589, 543, 2197, 645, 1312, 8532, 543, 3132, 1152, 1426, 543, 7802, 269, 5637, 2477, 946, 1152, 4074, 547, 3132, 891, 1079, 2472, 269, 589, 11832, 538, 2197, 589, 666, 3132, 476, 277, 4559, 540, 7802, 610, 476, 1015, 4559, 540, 1426, 1142, 1554, 1247, 513, 11832, 538, 2197, 645, 666, 3132, 476, 275, 4559, 540, 7802, 610, 476, 279, 4559, 540, 1426, 563, 25898, 4316, 1942, 540, 1426, 2504, 538, 2197, 589, 20324, 581, 519, 1482, 286, 2107, 1131, 4316, 1942, 540, 1426, 2504, 538, 2197, 589, 581, 3152, 982, 602, 540, 2197, 645, 269, 1548, 1131, 581, 519, 4542, 1862, 15100, 11020, 22709, 5549, 269, 2634, 21346, 2593, 4728, 476, 275, 267, 476, 1708, 272, 267, 476, 279, 281, 6349, 10681, 740, 272, 322, 280, 321, 9536, 4206, 454, 302, 653, 1953, 640, 1942, 568, 519, 3902, 540, 519, 6074, 1434, 267, 3448, 547, 519, 1985, 1655, 4244, 563, 21104, 1464, 538, 938, 2013, 454, 302, 653, 1953, 640, 1942, 540, 4429, 302, 653, 1953, 640, 1942, 568, 15091, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 1507, 4884, 3957, 1325, 874, 822, 4068, 267, 972, 5030, 1079, 8049, 2370, 5022, 267, 589, 543, 645, 269, 1358, 6068, 4730, 538, 741, 22843, 12567, 267, 5577, 4771, 689, 8768, 547, 8768, 267, 1142, 8204, 513, 1114, 4484, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 2263, 3564, 741, 4677, 543, 883, 519, 1158, 540, 5651, 572, 8943, 8092, 780, 2026, 789, 5887, 3293, 4514, 883, 713, 1007, 8513, 267, 789, 1558, 667, 1662, 267, 513, 2656, 543, 15931, 12297, 945, 1990, 5792, 1472, 24672, 269, 1261, 8068, 589, 543, 645, 6743, 4503, 543, 4280, 267, 834, 3963, 798, 596, 3100, 865, 7138, 1194, 12482, 289, 2695, 324, 8898, 267, 834, 2171, 1616, 547, 1451, 5651, 572, 8943, 256, 2052, 596, 4001, 721, 8119, 19196, 1243, 569, 267, 667, 1662, 8815, 543, 6026, 873, 875, 15956, 543, 546, 10449, 2099, 1114, 5022, 269, 1879, 646, 5018, 808, 729, 29717, 19203, 3299, 1312, 589, 543, 645, 941, 27086, 269, 8528, 288, 4280, 267, 834, 3719, 1946, 1281, 808, 991, 2185, 6786, 950, 824, 2828, 1152, 946, 1614, 610, 7864, 8119, 667, 1662, 20493, 543, 6045, 267, 834, 15919, 267, 1919, 1491, 3476, 982, 4397, 1317, 789, 3180, 811, 2956, 1765, 3286, 899, 1565, 782, 8938, 29350, 9479, 15323, 30342, 12913, 267, 589, 543, 645, 8120, 1753, 547, 2671, 741, 1702, 609, 1866, 269, 1717, 267, 789, 4166, 7691, 602, 13215, 5651, 572, 8943, 1131, 2154, 1454, 9639, 543, 2259, 269, 4014, 789, 7948, 1405, 1174, 1169, 2582, 1469, 2943, 267, 789, 4121, 3407, 4245, 827, 16177, 543, 8508, 2591, 1247, 3695, 519, 4241, 7706, 540, 2257, 2792, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 568, 519, 476, 1015, 628, 4484, 540, 519, 9904, 538, 5651, 572, 8943, 888, 763, 476, 1015, 628, 4484, 540, 519, 9904, 538, 5651, 572, 8943, 568, 834, 297, 2580, 799, 568, 6719, 676, 519, 3009, 834, 269, 19203, 257, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 1220, 271, 2190, 27252, 7269, 540, 2547, 1535, 17598, 1535, 317, 273, 910, 476, 273, 265, 6523, 3287, 264, 815, 476, 275, 265, 7562, 3287, 1070, 2258, 730, 269, 476, 274, 454, 476, 275, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 273, 267, 476, 278, 267, 476, 273, 267, 476, 280, 267, 476, 275, 267, 476, 278, 267, 476, 272, 267, 476, 279, 267, 476, 277, 267, 476, 280, 267, 476, 272, 267, 476, 272, 267, 476, 277, 267, 476, 272, 267, 476, 279, 267, 476, 276, 267, 476, 278, 267, 476, 275, 267, 476, 272, 267, 476, 272, 267, 476, 276, 267, 476, 276, 267, 476, 276, 267, 476, 271, 267, 476, 280, 267, 476, 277, 267, 476, 280, 267, 476, 273, 267, 476, 279, 267, 476, 279, 267, 476, 274, 267, 476, 275, 267, 476, 271, 267, 476, 273, 267, 476, 277, 267, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 275, 267, 476, 277, 267, 476, 274, 267, 476, 275, 267, 476, 278, 267, 476, 271, 267, 476, 273, 267, 476, 276, 267, 476, 271, 267, 476, 274, 267, 476, 273, 267, 476, 277, 267, 476, 274, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 279, 267, 476, 274, 267, 476, 274, 267, 476, 273, 267, 476, 277, 267, 476, 280, 267, 476, 280, 267, 476, 278, 267, 476, 274, 267, 476, 274, 267, 476, 278, 267, 476, 275, 267, 476, 274, 267, 476, 276, 267, 476, 271, 267, 476, 278, 267, 476, 280, 267, 476, 274, 267, 476, 278, 267, 476, 272, 267, 476, 279, 267, 476, 279, 267, 476, 276, 267, 476, 275, 267, 476, 272, 267, 476, 273, 267, 476, 279, 267, 476, 278, 267, 476, 280, 267, 476, 271, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 277, 267, 476, 272, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 272, 267, 476, 273, 630, 4289, 282, 3586, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 272, 25265, 19006, 6423, 589, 1960, 280, 5392, 585, 513, 3391, 547, 1644, 9696, 269, 1109, 1109, 763, 4223, 11490, 320, 1982, 2882, 513, 3113, 269, 700, 2562, 16775, 717, 269, 595, 269, 13983, 889, 601, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 1911, 876, 12327, 21283, 4041, 2547, 1535, 281, 1109, 1109, 268, 271, 269, 275, 2537, 276, 2767, 29848, 278, 1240, 7597, 272, 14065, 5952, 278, 30329, 27898, 6021, 277, 280, 2764, 279, 4097, 6349, 1862, 6574, 1535, 281, 476, 272, 269, 279, 1789, 278, 3451, 28526, 23310, 279, 8287, 276, 4200, 13975, 20720, 4817, 275, 278, 4097, 15704, 6434, 275, 276, 3607, 277, 1862, 13878, 26154, 2316, 7563, 513, 815, 476, 272, 282, 536, 815, 910, 273, 282, 524, 815, 476, 275, 282, 535, 20572, 318, 316, 28701, 513, 20080, 317, 273, 1341, 536, 265, 290, 657, 20572, 22049, 575, 20572, 318, 316, 28701, 524, 265, 306, 514, 20572, 316, 18140, 314, 346, 325, 20572, 3910, 575, 20572, 316, 9574, 2715, 343, 267, 910, 272, 267, 476, 273, 9574, 2715, 288, 343, 525, 27670, 9847, 2715, 271, 267, 476, 271, 3686, 316, 678, 815, 1535, 1315, 269, 4855, 305, 2393, 314, 325, 20572, 316, 2652, 575, 20572, 3910, 2715, 343, 267, 910, 269, 6246, 267, 910, 269, 5655, 9574, 11554, 7093, 17800, 9847, 476, 8099, 316, 7464, 14707, 1080, 314, 337, 316, 1109, 1109, 28949, 589, 1220, 271, 2190, 2608, 264, 678, 815, 1535, 1315, 269, 4855, 305, 2393, 314, 325, 20572, 316, 2652, 575, 20572, 3910, 2715, 343, 267, 476, 272, 269, 10695, 267, 476, 272, 269, 10019, 9574, 11554, 7093, 17800, 9847, 476, 8099, 316, 7464, 14707, 1080, 314, 337, 316, 1109, 1109, 28949, 589, 1220, 28276, 2608, 264, 11550, 294, 630, 303, 2752, 296, 264, 513, 284, 272, 282, 536, 15871, 273, 282, 524, 284, 275, 282, 4194, 3287, 15871, 272, 267, 476, 271, 267, 513, 20080, 317, 273, 1341, 536, 265, 6523, 3287, 264, 910, 524, 265, 7562, 3287, 4297, 8607, 717, 269, 595, 269, 13983, 889, 601, 267, 9947, 476, 2190, 476, 1001, 279, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 1960, 280, 5392, 269, 25627, 538, 2796, 281, 589, 271, 4097, 280, 2767, 589, 22332, 27038, 589, 28638, 8064, 272, 2608, 589, 26316, 18684, 589, 25248, 271, 5325, 589, 6642, 276, 6246, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 1220, 28512, 589, 1220, 28873, 589, 1220, 271, 2537, 2608, 589, 1220, 28276, 589, 1220, 271, 2918, 589, 1220, 271, 2767, 26395, 312, 310, 16704, 1875, 333, 267, 4621, 27483, 295, 3036, 18412, 13690, 828, 1782, 267, 8734, 476, 1724, 476, 1001, 272, 12327, 307, 2894, 31064, 306, 513, 263, 9262, 9984, 320, 263, 7176, 264, 22621, 676, 717, 269, 595, 269, 13983, 889, 601, 267, 9947, 476, 2190, 476, 1001, 279, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5130, 476, 1839, 476, 5881, 281, 5655, 29643, 476, 1708, 271, 269, 1230, 13935, 476, 28664, 25240, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27144, 661, 1047, 548, 454, 25811, 518, 267, 7010, 11629, 543, 667, 10621, 692, 258, 5741, 25586, 476, 1626, 281, 5295, 7857, 2040, 692, 19370, 476, 1626, 692, 21497, 815, 476, 27628, 6924, 543, 519, 2040, 540, 922, 9704, 568, 476, 274, 1341, 476, 273, 1341, 476, 278, 1341, 476, 277, 1341, 476, 279, 815, 476, 2918, 780, 1432, 568, 519, 2040, 540, 519, 9704, 540, 519, 1297, 476, 13975, 876, 2496, 1012, 8827, 692, 763, 1966, 666, 581, 12193, 3833, 3533, 609, 9226, 267, 799, 2636, 17062, 1804, 9981, 1384, 8999, 9852, 777, 17301, 267, 1193, 263, 273, 1262, 1911, 271, 4297, 2020, 4913, 267, 602, 781, 7012, 1405, 2731, 4101, 269, 2913, 781, 4137, 856, 267, 875, 649, 666, 4194, 519, 1966, 1510, 519, 1379, 540, 9226, 269, 1306, 1169, 3339, 3710, 2987, 1239, 1826, 666, 1405, 4558, 971, 513, 1804, 1297, 267, 606, 5044, 1590, 3180, 519, 9704, 267, 649, 666, 2040, 936, 269, 1215, 1804, 1281, 519, 5044, 723, 547, 581, 286, 2060, 9046, 476, 1839, 267, 594, 4312, 8810, 602, 519, 3259, 3230, 299, 3799, 14638, 540, 513, 6746, 3230, 333, 2330, 568, 692, 259, 299, 3799, 264, 815, 1422, 331, 28776, 476, 272, 10954, 8421, 3709, 1015, 12917, 333, 9385, 337, 28776, 6911, 3383, 519, 1297, 540, 9704, 649, 991, 547, 4558, 1287, 568, 1384, 259, 323, 815, 1422, 331, 28776, 476, 272, 10954, 8421, 3709, 1015, 12917, 273, 3867, 1911, 271, 348, 9385, 337, 28776, 815, 1422, 331, 28776, 476, 272, 266, 1911, 271, 24206, 1422, 8421, 3709, 1015, 12917, 273, 9385, 337, 28776, 815, 476, 23714, 6911, 17780, 593, 519, 476, 23714, 2609, 5044, 267, 649, 666, 4020, 519, 1297, 676, 14921, 476, 1911, 271, 2053, 1079, 269, 769, 3119, 1153, 267, 649, 4121, 875, 547, 798, 1279, 8691, 269, 589, 2656, 12576, 609, 519, 1383, 476, 31979, 2053, 476, 276, 5392, 1384, 476, 275, 476, 272, 476, 274, 2608, 476, 276, 476, 275, 476, 280, 1341, 476, 273, 476, 271, 476, 277, 476, 276, 476, 271, 476, 271, 1341, 476, 272, 476, 277, 476, 276, 476, 273, 476, 271, 1341, 476, 274, 476, 278, 476, 272, 476, 278, 815, 476, 273, 476, 273, 476, 277, 476, 278, 476, 274, 476, 278, 692, 4415, 713, 7271, 267, 649, 666, 9062, 476, 1911, 271, 2053, 1079, 3833, 3533, 269, 1284, 1810, 1405, 1256, 991, 476, 1911, 271, 14249, 267, 835, 5044, 568, 2614, 950, 649, 2040, 519, 1267, 2047, 269, 1879, 8045, 267, 519, 3070, 666, 1287, 1413, 607, 5205, 1384, 10818, 3070, 263, 10339, 264, 2715, 692, 12534, 1931, 815, 476, 271, 3248, 12534, 9704, 815, 4569, 269, 28776, 263, 272, 1341, 1163, 2608, 4569, 11482, 301, 273, 1315, 4569, 11482, 301, 1015, 32007, 12534, 1297, 815, 1007, 772, 842, 279, 26161, 5560, 580, 1080, 32007, 15893, 314, 271, 316, 815, 476, 272, 16963, 1721, 630, 12534, 1775, 815, 476, 271, 282, 1775, 2999, 1163, 282, 1775, 10030, 264, 2715, 692, 12534, 4163, 815, 476, 271, 16963, 1721, 630, 12534, 795, 815, 476, 271, 282, 795, 10922, 1931, 282, 795, 10030, 264, 2715, 692, 12534, 1587, 815, 476, 273, 2608, 1297, 14728, 316, 1341, 4163, 3248, 15893, 14728, 316, 815, 1587, 4939, 476, 1015, 3248, 8364, 787, 815, 1587, 1315, 476, 1015, 1923, 476, 271, 16963, 604, 630, 329, 815, 2525, 1931, 30974, 4163, 3436, 476, 271, 264, 13634, 4650, 10030, 3248, 8679, 8679, 8679, 8873, 1297, 18622, 706, 576, 9230, 335, 267, 1535, 264, 18092, 1535, 1341, 533, 267, 476, 271, 11850, 10926, 338, 1828, 263, 1911, 271, 32007, 7883, 547, 7650 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24618, 9866, 3569, 1239, 585, 12570, 2518, 20012, 1606, 7739, 1464, 683, 343, 4926, 454, 31413, 1436, 568, 23960, 2066, 519, 1158, 267, 4611, 538, 811, 4683, 7264, 267, 607, 1134, 607, 811, 4683, 2244, 946, 269, 11638, 7302, 541, 1461, 2524, 540, 20012, 543, 741, 2825, 5222, 616, 1898, 585, 8236, 12655, 4886, 17644, 630, 16256, 19199, 264, 538, 2518, 4872, 269, 901, 1382, 3096, 1239, 689, 3047, 9866, 3569, 543, 1514, 2959, 547, 1732, 1174, 875, 20012, 543, 6940, 616, 4448, 693, 2199, 3562, 25322, 2128, 10253, 269, 3776, 4681, 3565, 547, 2679, 513, 8115, 1063, 2257, 543, 3609, 547, 1711, 4264, 543, 561, 22133, 4872, 676, 3246, 1808, 2994, 585, 1142, 2796, 3079, 540, 513, 1412, 821, 20695, 1922, 1080, 22433, 262, 1935, 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 ]
[ 0, 258, 25663, 28513, 281, 476, 273, 317, 4029, 265, 275, 317, 4029, 265, 276, 317, 7830, 265, 278, 317, 4029, 265, 279, 317, 11152, 284, 344, 1879, 594, 6836, 547, 4194, 519, 1966, 1210, 606, 2228, 9498, 543, 3893, 9490, 2164, 269, 1280, 1383, 267, 594, 9411, 5216, 547, 519, 562, 27197, 21017, 1379, 543, 3893, 10484, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 22091, 11228, 7146, 2000, 690, 15162, 6193, 1922, 17313, 9847, 25663, 28513, 281, 476, 273, 317, 4029, 265, 275, 317, 4029, 265, 276, 317, 7830, 265, 278, 317, 4029, 265, 279, 317, 11152, 284, 344, 1879, 594, 6836, 547, 4194, 519, 1966, 1210, 606, 2228, 9498, 543, 3893, 9490, 2164, 269, 1280, 1383, 267, 594, 9411, 5216, 547, 519, 562, 27197, 21017, 1379, 543, 3893, 267, 3396, 1109, 8298, 2201, 692, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 256, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 2439, 10789, 281, 5890, 9426, 543, 30233, 607, 3252, 540, 1379, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 7726, 476, 16020, 7176, 281, 476, 273, 317, 4029, 265, 275, 317, 4029, 265, 276, 317, 7830, 265, 278, 317, 4029, 265, 279, 317, 11152, 284, 344, 1879, 594, 6836, 547, 4194, 519, 1966, 1210, 606, 2228, 9498, 543, 3893, 9490, 2164, 269, 1280, 1383, 267, 594, 9411, 5216, 547, 519, 562, 27197, 21017, 1379, 543, 3893, 267, 476, 280, 269, 278, 1724, 30306, 5379, 272, 12553, 277, 3393, 324, 266, 10695, 607, 606, 2626, 799, 568, 513, 3898, 594, 993, 8572, 547, 960, 2417, 609, 269, 8729, 585, 707, 948, 256, 12585, 676, 3798, 7773, 15966, 9545, 344, 263, 6434, 280, 274, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 3499, 22217, 1518, 281, 18564, 602, 782, 519, 23055, 616, 23385, 540, 476, 4029, 269, 3503, 519, 1379, 607, 543, 2328, 519, 1379, 607, 3767, 2328, 519, 607, 543, 2328, 519, 607, 3767, 2328, 519, 607, 543, 2328, 519, 607, 3767, 2094, 782, 2188, 616, 6659, 547, 519, 476, 4029, 1379, 267, 649, 666, 2328, 519, 1657, 607, 281, 3973, 6368, 9062, 519, 2338, 538, 519, 24324, 543, 596, 1439, 909, 609, 610, 543, 596, 1131, 1175, 4734, 519, 2626, 899, 602, 1317, 602, 1297, 2854, 856, 1131, 723, 7366, 540, 9704, 269, 3798, 7773, 3499 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15507, 513, 1297, 454, 23714, 271, 815, 476, 18597, 14681, 454, 26015, 11847, 19948, 454, 16535, 6200, 9340, 9826, 1911, 454, 25313, 18089, 18891, 454, 275, 2537, 24062, 271, 454, 276, 4510, 31239, 454, 277, 2641, 4649, 273, 454, 278, 1556, 276, 6246, 454, 24934, 6872, 272, 275, 454, 280, 6078, 1839, 454, 9818, 22903, 454, 12208, 273, 320, 277, 454, 13199, 279, 321, 279, 454, 14530, 275, 321, 275, 454, 15221, 1428, 320, 454, 1428, 323, 4792, 454, 28411, 321, 764, 692, 23714, 271, 814, 476, 1321, 16975, 630, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 277, 4343, 275, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 6344, 271, 780, 763, 3105, 6305, 568, 476, 22145, 280, 269, 634, 1985, 6305, 568, 476, 23714, 274, 269, 634, 30729, 540, 476, 23714, 271, 568, 476, 10711, 780, 29002, 547, 476, 23714, 271, 922, 9258, 630, 10711, 1070, 649, 1205, 513, 5493, 30308, 630, 27088, 274, 6393, 2005, 568, 513, 6126, 1297, 780, 2005, 568, 513, 670, 6702, 611, 1297, 2094, 621, 568, 513, 2789, 540, 922, 2040, 540, 9704, 630, 276, 6393, 2005, 568, 513, 10750, 323, 4435, 538, 3490, 476, 1691, 543, 3490, 476, 1626, 780, 2005, 568, 513, 562, 658, 335, 323, 4435, 538, 3490, 476, 1428, 780, 2005, 568, 513, 22882, 1297, 267, 1317, 621, 568, 3160, 547, 562, 266, 338, 617, 3799, 264, 585, 562, 815, 476, 26482, 276, 543, 476, 22145, 274, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 23714, 274, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 829, 5371, 1190, 1297, 267, 1317, 922, 9352, 6041, 3568, 513, 6305, 1297, 630, 278, 264, 540, 3283, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 6321, 1341, 3267, 1341, 476, 4817, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 276, 3953, 6393, 2005, 568, 606, 21443, 762, 1297, 780, 23714, 271, 568, 606, 10731, 1297, 267, 2094, 621, 568, 4130, 982, 519, 2040, 540, 922, 1697, 16975, 630, 28656, 275, 6393, 2005, 568, 513, 15554, 6016, 2739, 1297, 267, 1317, 621, 568, 519, 2040, 540, 513, 15410, 540, 922, 1697, 16975, 780, 2005, 568, 513, 2098, 636, 330, 11839, 1297, 267, 1317, 922, 16975, 666, 581, 15652, 539, 538, 1079, 5036, 609, 519, 1482, 2040, 630, 29204, 273, 6393, 23714, 271, 568, 513, 3653, 995, 1297, 267, 2094, 621, 3096, 1447, 9704, 982, 922, 26458, 780, 23714, 271, 568, 606, 5212, 1190, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 9642, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 8182, 630, 528, 476, 15647, 10203, 1152, 519, 3982, 3283, 6393, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 277, 267, 1247, 519, 2040, 568, 476, 276, 780, 763, 4009, 3597, 540, 476, 23714, 271, 568, 827, 476, 7918, 269, 4817, 275, 276, 2918, 4792, 277, 272, 269, 634, 12945, 3597, 540, 476, 23714, 271, 568, 827, 476, 1691, 269, 3393, 275, 5325, 275, 278, 3451, 280, 780, 763, 10259, 540, 476, 23714, 271, 538, 1913, 568, 834, 22764, 8536, 267, 8938, 2580, 543, 3976, 621, 568, 606, 16481, 534, 1297, 780, 19667, 30583, 281, 476, 272, 476, 273, 476, 275, 476, 276, 476, 1015, 476, 736, 476, 14681, 476, 23714, 476, 2568, 275, 476, 4037, 276, 476, 14681, 271, 476, 23714, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 328, 27600, 781, 7869, 2986, 15465, 4886, 454, 303, 328, 27600, 568, 2808, 519, 4651, 540, 5042, 1646, 1317, 1010, 2090, 941, 519, 1101, 547, 4983, 1453, 781, 3206, 543, 1317, 646, 6035, 513, 3102, 3069, 540, 875, 17133, 4957, 936, 942, 269, 3571, 3069, 540, 5042, 1646, 729, 1759, 593, 1239, 689, 513, 3126, 540, 6901, 543, 11042, 540, 1453, 630, 10175, 1010, 1378, 264, 602, 8268, 741, 3206, 538, 513, 3099, 540, 8658, 269, 13100, 27600, 781, 3069, 15538, 540, 2185, 5933, 540, 1646, 689, 4332, 547, 18273, 281, 9300, 574, 19318, 267, 840, 6016, 1049, 267, 6405, 10512, 267, 543, 6101, 10512, 563, 268, 15465, 4886, 910, 966, 17789, 1824, 5652, 781, 5081, 32241, 7869, 454, 268, 15465, 4886, 910, 11137, 2986, 15465, 4886, 454, 268, 4033, 5131, 2037, 9871, 2664, 553 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24050, 1518, 263, 1492, 8217, 267, 3259, 267, 1775, 2187, 453, 331, 17999, 815, 1775, 825, 1948, 6236, 607, 3597, 454, 453, 3847, 815, 476, 273, 265, 328, 266, 272, 567, 1948, 4994, 540, 2451, 1126, 454, 453, 2431, 815, 476, 273, 265, 328, 266, 273, 476, 1948, 4994, 540, 1318, 1126, 692, 453, 258, 5408, 952, 2451, 1126, 2291, 543, 3152, 982, 3597, 454, 14851, 2451, 283, 26319, 543, 519, 8217, 5157, 316, 283, 1492, 8217, 314, 3847, 14158, 453, 453, 331, 17999, 815, 2451, 692, 453, 258, 5408, 952, 1318, 1126, 2291, 543, 3152, 982, 3597, 454, 14851, 1318, 283, 26319, 543, 519, 8217, 314, 331, 17999, 316, 283, 1492, 8217, 314, 2431, 14158, 453, 453, 331, 17999, 815, 1318, 692, 453, 258, 4219, 3597, 952, 3677, 1297, 9575, 607, 2451, 610, 1318, 1126, 454, 14851, 4102, 256, 284, 328, 912, 453, 453, 1492, 8217, 5157, 3910, 1492, 8217, 314, 331, 17999, 24557, 1492, 8217, 314, 331, 17999, 3910, 1492, 8217, 5157, 2639, 453, 453, 258, 24050, 1518, 519, 1007, 3597, 454, 453, 453, 515, 777, 1518, 263, 1492, 8217, 267, 3259, 267, 4102, 9239, 3698, 24050, 31374, 263, 1492, 8217, 2187, 453, 333, 815, 7003, 263, 1492, 8217, 2020, 453, 258, 515, 777, 1518, 519, 2407, 1592, 454, 22610, 1775, 538, 2039, 3799, 2260, 273, 268, 272, 267, 910, 272, 267, 910, 272, 2187, 453, 453, 258, 515, 777, 1518, 689, 2063, 3693, 609, 1126, 547, 1283, 454, 453, 453, 515, 777, 1518, 263, 12584, 9285, 8217, 267, 562, 267, 1775, 2020, 453, 258, 515, 2355, 677, 521, 868, 24219, 2609, 835, 676, 835, 454, 22610, 1775, 538, 2039, 3799, 268, 272, 267, 476, 271, 267, 910, 272, 2187, 453, 453, 258, 1873, 6260, 519, 3597, 3693, 799, 568, 3193, 547, 922, 2990, 454, 453, 453, 1492, 8217, 5157, 3910, 1492, 8217, 314, 271, 316, 815, 519, 8217, 314, 271, 3910, 1492, 8217, 5157, 2639, 453, 453, 258, 515, 777, 1518, 689, 3597, 1586, 3259, 4389, 547, 1412, 328, 262, 547, 1832, 15044, 2609, 24240, 454, 453, 453, 515, 777, 1518, 263, 1492, 8217, 267, 1775, 267, 476, 271, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 453, 12584, 9285, 8217, 815, 1496, 1704, 267, 9262, 267, 277, 267, 2420, 267, 7918, 267, 274, 267, 1724, 267, 6078, 2639, 13537, 263, 12584, 9285, 8217, 994, 453, 515, 777, 31374, 263, 12584, 9285, 8217, 994, 13537, 263, 12584, 9285, 8217, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15578, 661, 4041, 300, 19006, 5508, 23370, 22218, 454, 4596, 299, 3036, 267, 700, 12114, 267, 645, 3201, 23814, 2676, 24165, 303, 3036, 3582, 6730, 670, 2752, 300, 2177, 312, 454, 15578, 29313, 16898, 5508, 23333, 3036, 454, 4596, 299, 3036, 6789, 589, 20219, 11586, 5357, 454, 4596, 299, 27633, 6730, 570, 4932, 25807, 2969, 7838, 2464, 454, 305, 3633, 267, 10758, 3198, 12283, 267, 6730, 962, 21822, 8582, 25758, 454, 3008, 12569, 5746, 28714, 23166, 5990, 590, 7419, 6730, 454, 22664, 654, 2752, 300, 23333, 27633, 454, 293, 23808, 12778, 570, 22379, 14408, 293, 4953, 312, 30316, 2839, 5085, 2562, 2464, 454, 272, 269, 1411, 1590, 4163, 1352, 1513, 267, 23805, 267, 543, 9378, 678, 26802, 3068, 1524, 563, 273, 269, 2142, 2386, 547, 796, 680, 1872, 782, 14233, 1310, 946, 563, 274, 269, 29828, 532, 6191, 1590, 581, 796, 680, 28289, 1354, 4657, 513, 13549, 610, 513, 454, 275, 269, 1879, 5969, 5958, 267, 621, 454, 293, 23808, 12778, 570, 22379, 14160, 19798, 4629, 6865, 30316, 2839, 5085, 2562, 2464, 6730, 454, 272, 269, 2142, 593, 942, 547, 1362, 267, 4712, 547, 2253, 2324, 563, 273, 269, 3143, 1426, 610, 16098, 616, 15868, 538, 519, 7802, 2978, 563, 274, 269, 2353, 1362, 960, 543, 3785, 616, 547, 581, 5249, 593, 538, 1362, 267, 8259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2368, 1004, 3314, 519, 1919, 676, 1603, 4967, 547, 2933, 269, 3973, 789, 4734, 519, 4967, 538, 6654, 476, 4025, 267, 971, 607, 593, 519, 3349, 610, 593, 519, 6989, 538, 519, 1647, 540, 519, 2713, 4055, 269, 594, 1810, 1405, 1589, 594, 899, 547, 2328, 4967, 547, 8885, 269, 4107, 540, 519, 942, 594, 6336, 873, 610, 7340, 547, 1413, 693, 873, 2394, 621, 781, 1932, 3735, 269, 594, 4782, 547, 946, 606, 15372, 9219, 547, 2995, 803, 1018, 594, 1058, 798, 269, 594, 723, 4557, 15372, 23234, 538, 1250, 2777, 269, 1358, 1223, 2995, 803, 827, 1919, 269, 1280, 1383, 267, 952, 594, 723, 547, 1118, 513, 15146, 1289, 693, 513, 1978, 942, 267, 594, 3513, 1305, 606, 15372, 9219, 547, 979, 1055, 513, 1906, 3764, 2038, 543, 2322, 519, 9219, 676, 519, 15146, 269, 2107, 952, 594, 1616, 547, 4585, 513, 1978, 8613, 1982, 267, 594, 3513, 1305, 606, 15372, 9219, 693, 519, 1318, 942, 543, 2322, 519, 9219, 593, 1283, 540, 519, 7641, 1305, 269, 594, 666, 3314, 3592, 4376, 952, 594, 946, 1250, 23234, 269, 1717, 267, 3006, 606, 15372, 9219, 4422, 1055, 543, 594, 1810, 1405, 917, 1018, 621, 1797, 269, 594, 2141, 3314, 4259, 621, 267, 855, 594, 798, 711, 917, 1946, 594, 1305, 621, 269, 1403, 519, 9219, 568, 676, 519, 15146, 267, 594, 917, 594, 949, 723, 1305, 621, 547, 2995, 803, 547, 1289, 2576, 267, 855, 594, 666, 1405, 581, 2386, 269, 594, 1522, 723, 1305, 621, 547, 2995, 8885, 602, 18825, 729, 547, 1289, 803, 693, 513, 1978, 942, 269, 6884, 606, 15372, 9219, 666, 1405, 948, 803, 1317, 567, 9041, 476, 4586, 271, 269, 594, 2322, 519, 9219, 538, 513, 4636, 1747, 454, 272, 269, 519, 9219, 4422, 4636, 454, 273, 269, 950, 519, 9219, 4422, 1055, 267, 594, 7340, 1946, 594, 1305, 621, 454, 274, 269, 594, 6415, 711, 2386, 7247, 594, 1058, 1289, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19868, 538, 547, 2069, 2749, 547, 2263, 519, 3135, 1210, 707, 1126, 779, 2845, 538, 269, 898, 568, 606, 2228, 4199, 585, 1453, 689, 9907, 1614, 543, 7028, 519, 6437, 538, 1114, 2127, 540, 1565, 552, 3052, 269, 1297, 30053, 543, 2962, 8964, 563, 14946, 25478, 543, 1297, 1983, 910, 979, 856, 585, 513, 3802, 543, 1413, 585, 2338, 607, 596, 979, 552, 3052, 269, 1286, 1297, 10824, 543, 2338, 593, 4395, 9885, 269, 11559, 519, 1453, 547, 1293, 519, 1919, 789, 1294, 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 ]
[ 0, 258, 10112, 9892, 7358, 2209, 1477, 258, 10112, 9892, 12427, 616, 1031, 547, 3651, 1871, 547, 513, 4756, 1477, 258, 20491, 16875, 7151, 19930, 12791, 1477, 258, 567, 815, 4449, 1535, 284, 276, 25639, 1535, 284, 276, 1477, 258, 567, 6834, 3546, 2473, 23785, 276, 23526, 1535, 24210, 266, 276, 1477, 258, 567, 20699, 3546, 1535, 268, 284, 276, 23526, 1535, 24210, 268, 276, 1477, 258, 567, 2608, 284, 3546, 1535, 265, 284, 276, 23526, 1535, 24210, 265, 276, 1477, 258, 567, 1315, 284, 3546, 1535, 270, 284, 276, 23526, 1535, 24210, 270, 276, 1477, 258, 567, 4939, 284, 3546, 2473, 260, 284, 276, 1477, 258, 567, 12262, 284, 25639, 1535, 2260, 284, 276, 1477, 258, 567, 2878, 284, 25639, 1535, 1262, 284, 276, 1477, 258, 567, 17851, 3546, 1535, 261, 284, 276, 1477, 258, 567, 1923, 284, 3546, 2473, 347, 284, 276, 1477, 258, 567, 9745, 284, 3546, 1535, 317, 284, 276, 1477, 258, 567, 23645, 3546, 1535, 9563, 284, 276, 1477, 258, 567, 24177, 3546, 1535, 283, 27045, 276, 5897, 2745, 2891, 16029, 7084, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 2745, 16325, 272, 267, 11133, 273, 10142, 2745, 2891, 23785, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 6834, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 268, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 20699, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 265, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 2608, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 270, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 1315, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 260, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 4939, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 2260, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 12262, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 1262, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 2878, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 261, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 17851, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 347, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 1923, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 317, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 9745, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 9563, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 23645, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 28843, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 24177, 284, 1003, 273, 1477, 2745, 16325, 272, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 568, 606, 2534, 593, 4197, 519, 2776, 600, 1076, 540, 519, 2136, 2276, 9139, 269, 898, 568, 513, 9906, 5530, 6651, 609, 513, 2871, 3660, 11872, 11314, 8018, 1519, 513, 11819, 8382, 6206, 269, 634, 9906, 5530, 6651, 609, 519, 2871, 3660, 11872, 11314, 8018, 8100, 519, 8419, 4841, 3872, 2200, 5850, 281, 4197, 519, 2776, 600, 1076, 563, 1607, 568, 513, 9906, 5530, 6651, 602, 2882, 513, 2871, 3660, 11872, 11314, 8018, 543, 513, 11819, 8382, 6206, 547, 13173, 519, 8419, 4841, 3872, 2200, 20861, 281, 4197, 519, 2776, 600, 1076, 563, 4467, 18680, 609, 8419, 595, 643, 923, 5484, 577, 5658, 281, 9399, 269, 278, 5861, 269, 272, 269, 277, 19873, 519, 15752, 540, 519, 2776, 600, 1076, 540, 519, 9139, 563, 2252, 596, 798, 711, 723, 513, 2780, 585, 1142, 2875, 267, 596, 616, 2111, 547, 1459, 519, 5850, 607, 513, 2898, 1362, 2534, 11264, 1142, 2534, 607, 596, 3356, 998, 519, 5850, 269, 1403, 596, 723, 513, 5100, 4580, 267, 1053, 666, 2347, 519, 2534, 693, 741, 10160, 267, 14350, 610, 609, 4891, 267, 543, 1287, 2097, 547, 519, 5100, 4580, 547, 1459, 519, 2626, 269, 1403, 596, 723, 5904, 610, 513, 15291, 585, 1142, 2875, 267, 1053, 666, 2347, 519, 5850, 543, 1039, 4267, 607, 789, 3356, 998, 519, 5850, 693, 741, 1378, 10605, 269, 23657, 1259, 267, 1053, 666, 1287, 946, 519, 4976, 607, 513, 1353, 3391, 585, 513, 7688, 610, 519, 7736, 540, 6092, 11929, 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 ]
[ 0, 288, 573, 2106, 595, 4592, 2421, 692, 1708, 273, 268, 6021, 268, 6187, 692, 1692, 547, 6961, 602, 5086, 20312, 10725, 540, 1318, 5086, 6906, 13235, 1318, 2587, 1194, 693, 645, 568, 13902, 20312, 10725, 540, 3791, 2427, 8028, 692, 1712, 329, 545, 1695, 325, 322, 692, 5194, 6169, 602, 713, 568, 1152, 3020, 585, 513, 476, 3393, 268, 3393, 268, 3445, 1318, 6906, 563, 2252, 519, 5086, 20312, 10725, 540, 519, 1318, 5086, 568, 13902, 547, 519, 30494, 267, 1287, 519, 6906, 4646, 676, 519, 20312, 10725, 814, 513, 476, 3393, 5086, 630, 321, 529, 31637, 519, 1318, 5086, 264, 543, 513, 476, 3445, 5086, 630, 704, 12993, 264, 865, 519, 824, 5086, 814, 547, 581, 476, 3393, 563, 11997, 519, 3312, 6906, 568, 476, 3393, 268, 3393, 268, 3445, 780, 296, 1810, 1405, 1589, 519, 3948, 596, 616, 3843, 547, 6961, 568, 3020, 585, 1022, 1318, 6906, 269, 3371, 568, 1946, 563, 4131, 519, 1079, 11105, 5011, 540, 519, 1318, 6906, 581, 6719, 676, 10321, 267, 589, 815, 630, 271, 28083, 1070, 645, 815, 630, 321, 267, 271, 1070, 1287, 519, 30494, 540, 519, 6906, 1131, 581, 645, 5025, 815, 630, 321, 16427, 320, 264, 676, 519, 25521, 1876, 269, 2913, 519, 6152, 966, 815, 630, 272, 267, 272, 7565, 514, 1249, 267, 1022, 6152, 609, 5086, 476, 3393, 5232, 1040, 8074, 602, 966, 568, 606, 5086, 20312, 10725, 540, 519, 1318, 5086, 563, 3086, 267, 952, 649, 1491, 519, 12297, 1587, 540, 966, 543, 645, 5025, 267, 543, 1305, 621, 3160, 547, 476, 271, 4433, 1550, 649, 1616, 873, 547, 581, 13902, 1040, 1284, 1205, 536, 8584, 815, 476, 271, 269, 4935, 966, 568, 13902, 547, 519, 824, 2427, 952, 543, 1152, 952, 536, 815, 513, 780, 2710, 596, 723, 513, 2147, 2243, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 518, 18209, 8030, 1685, 543, 27459, 1047, 519, 1374, 267, 1646, 267, 5478, 543, 5826, 960, 540, 782, 2010, 540, 8184, 6472, 269, 901, 949, 1331, 4108, 543, 19742, 7098, 6955, 6951, 267, 21484, 641, 1562, 267, 28862, 267, 10131, 6472, 267, 14361, 267, 15408, 267, 543, 1852, 543, 5583, 1949, 563, 291, 583, 625, 1299, 570, 3696, 454, 288, 518, 18209, 8030, 949, 1685, 519, 1739, 4247, 281, 17839, 543, 1374, 8484, 267, 8484, 2694, 543, 1489, 3937, 676, 8600, 12400, 543, 1818, 6310, 9273, 267, 1419, 29211, 676, 2780, 1949, 9188, 793, 12381, 547, 1949, 267, 971, 607, 4492, 610, 2011, 14555, 267, 543, 7291, 10380, 5773, 17238, 4255, 547, 2268, 519, 2773, 540, 606, 8484, 610, 851, 267, 610, 547, 2327, 1374, 16551, 543, 2011, 10290, 1465, 4170, 616, 544, 1115, 10967, 341, 1047, 519, 10198, 540, 2011, 325, 29707, 543, 519, 10380, 540, 9817, 267, 7405, 543, 824, 3937, 630, 1721, 1383, 267, 950, 16459, 3063, 4492, 13688, 267, 14045, 1141, 519, 13688, 616, 547, 581, 5116, 543, 10992, 602, 519, 1489, 2497, 540, 519, 8484, 568, 2178, 2614, 547, 4163, 519, 3063, 2597, 264, 514, 4034, 580, 622, 8959, 9817, 610, 824, 18229, 3334, 16467, 5773, 585, 519, 7816, 540, 18229, 3334, 323, 9057, 710, 543, 4383, 16131, 585, 18203, 543, 5826, 817, 612, 7344, 1949, 267, 8184, 4162, 543, 8484, 2773, 4820, 4602, 622, 538, 8184, 1449, 15961, 547, 2268, 1491, 11325, 9883, 267, 2557, 540, 18214, 267, 588, 718, 11250, 267, 812, 4141, 12320, 4599, 1006, 543, 13941, 19206, 24834, 10663, 1007, 543, 1031, 8484, 543, 18973, 1761, 4136, 553, 619, 1759, 593, 741, 4681, 604, 2324, 585, 519, 6406, 28645, 8881, 16958, 267, 2327, 519, 2011, 10290, 1465, 540, 8241, 8484, 676, 12570, 519, 10672, 781, 1344, 543, 519, 8484, 781, 2497, 267, 5122, 543, 1285, 542, 923, 7405, 543, 1379, 2371, 563, 268, 2972, 2930, 543, 4702, 2238, 10763, 543, 1966, 9010, 2702, 1434, 5711, 543, 2854, 2792, 1983, 4052, 543, 3860, 2702, 2111, 547, 960, 1510, 15569, 543, 3398, 5539, 2111, 547, 960, 607, 851, 540, 513, 2319, 3339, 7990, 5075, 949, 581, 2838, 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 ]
[ 0, 7804, 1516, 7726, 281, 1215, 666, 649, 946, 938, 12823, 547, 2263, 267, 1451, 267, 543, 1332, 1247, 649, 1404, 888, 29248, 10062, 9040, 625, 616, 2348, 865, 1454, 1187, 713, 3018, 1565, 827, 811, 10444, 2238, 998, 513, 15226, 27059, 1788, 269, 8625, 267, 789, 1500, 13897, 11680, 267, 4682, 593, 513, 2470, 3802, 547, 1039, 547, 741, 19471, 1404, 323, 965, 267, 543, 1705, 6978, 16493, 609, 10036, 269, 2859, 2238, 547, 2097, 1985, 3018, 2336, 12812, 1934, 585, 519, 4081, 11706, 563, 12812, 1934, 585, 519, 4081, 11706, 269, 5130, 476, 1704, 1107, 9410, 13162, 3751, 12789, 269, 4303 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 15828, 17999, 28175, 11415, 1532, 15277, 26690, 268, 16029, 7302, 541, 3030, 13045, 5035, 8827, 912, 825, 1219, 3193, 21920, 27001, 22949, 13142, 3030, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 1365, 815, 910, 272, 454, 1038, 4484, 29223, 815, 31460, 13872, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 1535, 815, 521, 5157, 2639, 2018, 4484, 29223, 20572, 316, 815, 4484, 29223, 10947, 3287, 267, 1496, 8079, 1341, 1496, 328, 2639, 27030, 1038, 585, 7158, 538, 4484, 29223, 269, 11161, 10031, 2018, 1365, 815, 3193, 263, 4046, 267, 3193, 263, 21752, 264, 910, 1295, 263, 21752, 264, 910, 476, 272, 994, 13872, 1038, 2132, 1365, 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 ]
[ 0, 11415, 284, 1598, 9272, 15405, 12248, 284, 271, 454, 1721, 1775, 538, 5569, 912, 476, 952, 1775, 269, 1170, 10628, 10031, 825, 1293, 23785, 272, 454, 2745, 6262, 870, 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 ]
[ 0, 9223, 281, 769, 799, 2197, 941, 13338, 15024, 15748, 538, 476, 4198, 275, 267, 4611, 538, 513, 1007, 11156, 950, 6628, 11292, 1582, 3766, 17922, 538, 476, 3422, 275, 888, 12585, 281, 3703, 670, 1180, 32136, 454, 2704, 328, 1162, 281, 2051, 3415, 540, 3703, 670, 1180, 32136, 267, 3703, 670, 1180, 32136, 267, 3703, 554, 1180, 32136, 267, 645, 269, 12968, 267, 22477, 2051, 3415, 540, 3703, 670, 1180, 32136 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12385, 3012, 673, 3206, 568, 1271, 585, 782, 2818, 540, 513, 2413, 2486, 269, 2311, 634, 30745, 649, 2832, 547, 1628, 6690, 262, 6015, 543, 5512, 6690, 547, 1020, 15131, 585, 543, 18399, 540, 519, 3860, 543, 1966, 6061, 3344, 540, 6128, 563, 763, 1641, 568, 25471, 547, 23722, 543, 10453, 616, 6026, 538, 5036, 689, 700, 4353, 269, 21989, 616, 9415, 547, 1589, 10446, 543, 547, 1294, 519, 10083, 543, 2956, 540, 6128, 538, 4948, 1272, 269, 589, 3099, 540, 3450, 543, 1565, 2238, 538, 519, 4928, 267, 1519, 6292, 960, 267, 1895, 960, 543, 1367, 2259, 267, 1683, 6690, 609, 519, 4316, 547, 8831, 741, 1966, 6061, 1983, 543, 547, 1020, 2312, 7744, 543, 9266, 2219, 269, 32167, 2812, 616, 9411, 12422, 585, 519, 2817, 19556, 12694, 543, 621, 568, 8912, 585, 1896, 547, 3356, 547, 7766, 21448, 269, 634, 4972, 5781, 5036, 2591, 267, 543, 6690, 616, 9415, 547, 7390, 2199, 15872, 267, 2319, 2621, 543, 9457, 5035, 525, 269, 13174, 11833, 8255, 2899, 513, 3018, 1310, 1153, 585, 772, 7656, 910, 772, 4353, 6690, 269, 3371, 6690, 616, 2111, 547, 960, 609, 1866, 540, 1114, 6502, 543, 2147, 4690, 607, 1134, 607, 547, 723, 1187, 15029, 2502, 538, 1966, 6061, 269, 634, 4972, 6585, 513, 645, 1329, 333, 658, 10658, 14794, 7420, 4303, 585, 6690, 538, 772, 7656, 543, 700, 4353, 799, 3947, 6690, 519, 4960, 547, 1020, 741, 14694, 3206, 267, 1966, 6061, 543, 2319, 2679, 1983, 1282, 606, 2962, 14095, 8400, 563, 5978, 3483, 568, 547, 1020, 1142, 20194, 781, 6310, 2702, 547, 519, 5207, 2009, 1377, 543, 547, 6536, 606, 1719, 538, 519, 1641, 269, 2353, 6690, 616, 9411, 585, 519, 14451, 570, 1512, 23722, 543, 519, 1641, 568, 513, 2442, 3903, 538, 519, 14520, 628, 4813, 267, 609, 513, 1434, 19718, 538, 513, 2039, 540, 6030, 543, 11141, 2164, 269, 2037, 28387, 328, 2880, 267, 8149, 543, 3839, 5234, 616, 21464, 609, 741, 942, 547, 948, 6690, 3544, 4245, 543, 972, 568, 513, 12353, 13174, 29100, 769, 8400, 267, 6131, 547, 713, 1489, 267, 799, 568, 4371, 12353, 1282, 513, 12899, 5662, 563, 2690, 519, 23722, 3144, 676, 11158, 689, 4832, 476, 1001, 273, 27477, 4945, 1934, 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 ]
[ 0, 3698, 10002, 871, 307, 340, 921, 8266, 10857, 560, 2187, 825, 1007, 331, 560, 815, 11713, 825, 585, 512, 538, 32102, 912, 1038, 1007, 331, 560, 6910, 6025, 314, 271, 7481, 1038, 1007, 331, 560, 6910, 6025, 314, 272, 7481, 825, 2132, 1007, 331, 560, 7531, 3698, 3640, 8266, 273, 307, 340, 921, 10857, 560, 2187, 825, 2132, 1592, 18750, 760, 10857, 560, 314, 271, 15311, 273, 3910, 32102, 314, 272, 15311, 273, 316, 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 ]
[ 0, 3698, 5192, 21848, 10031, 825, 2085, 815, 703, 9272, 2891, 19152, 6520, 281, 27328, 825, 2132, 2085, 692, 3698, 18224, 20479, 263, 720, 2187, 825, 952, 2085, 13843, 476, 271, 543, 2085, 10922, 476, 1321, 912, 1038, 1820, 2891, 16908, 8609, 281, 17718, 5602, 825, 8640, 2085, 13843, 476, 1724, 543, 2085, 10922, 476, 1704, 912, 1038, 1820, 2891, 16908, 8609, 281, 24635, 5602, 825, 8640, 2085, 2652, 476, 1240, 912, 1038, 1820, 2891, 16908, 8609, 281, 1546, 8117, 5602, 825, 3116, 912, 1038, 1820, 2891, 16908, 8609, 281, 16989, 15419, 720, 815, 5192, 21848, 10797, 11514, 2452, 20479, 263, 720, 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 ]
[ 0, 258, 3487, 658, 11186, 3830, 609, 3355, 2175, 692, 4517, 865, 594, 1616, 547, 4194, 519, 1739, 3830, 267, 1641, 547, 891, 3355, 2175, 1384, 7445, 579, 3709, 1777, 348, 910, 579, 3709, 16282, 348, 815, 476, 277, 340, 317, 276, 23444, 279, 266, 275, 320, 264, 340, 317, 274, 24179, 273, 266, 275, 320, 264, 340, 6911, 7445, 579, 263, 271, 21726, 21174, 11927, 327, 3287, 1070, 579, 4671, 263, 271, 21726, 6661, 271, 6911, 2691, 594, 946, 715, 9169, 9876, 547, 4194, 1369, 519, 11996, 4399, 1496, 271, 267, 1015, 316, 1422, 9392, 30585, 276, 267, 276, 316, 8961, 594, 6836, 713, 607, 513, 3009, 1384, 301, 9169, 9876, 314, 19127, 291, 314, 340, 314, 339, 267, 1535, 3910, 512, 267, 512, 316, 910, 667, 314, 340, 314, 339, 267, 1535, 3910, 1535, 267, 1535, 316, 2652, 454, 277, 579, 314, 339, 267, 1535, 316, 317, 276, 1341, 630, 279, 266, 275, 320, 264, 579, 314, 339, 267, 1535, 316, 317, 274, 910, 630, 273, 266, 275, 320, 264, 579, 314, 339, 267, 1535, 16689, 340, 314, 271, 267, 1535, 316, 2652, 18000, 327, 20572, 3910, 667, 314, 340, 314, 271, 267, 1535, 3910, 512, 316, 2652, 476, 271, 348, 2676, 340, 314, 339, 267, 1535, 3910, 2715, 339, 267, 476, 271, 267, 476, 1015, 9574, 2715, 343, 267, 910, 276, 267, 476, 276, 348, 6540, 454, 3719, 4223, 11490, 320, 1287, 7024, 519, 1739, 1899, 1384, 301, 9169, 9876, 15311, 1372, 336, 333, 281, 17817, 610, 1592, 540, 4834, 4397, 3079, 540, 6936, 538, 519, 1101, 4661, 7531, 3602, 519, 6936, 14751, 566, 9583, 4016, 547, 519, 2034, 3355, 2783, 269, 1548, 568, 621, 602, 594, 1705, 4636, 286, 1772, 972, 4376, 4636, 609, 519, 3009, 286, 1772, 972, 4376, 4636, 609, 519, 1966, 2496, 8894, 291, 314, 340, 314, 271, 267, 1535, 3910, 512, 316, 2652, 476, 271, 568, 959, 643, 6053, 3020, 1317, 579, 314, 271, 21726, 316, 1281, 711, 4096, 593, 512, 269, 1677, 2328, 519, 3830, 596, 2446, 267, 2328, 621, 607, 14216, 29719, 314, 272, 267, 476, 271, 6012, 340, 6012, 271, 267, 1535, 4940, 1306, 513, 19444, 607, 2943, 14542, 609, 14216, 29719, 267, 596, 1223, 723, 9112, 713, 4082, 607, 667, 314, 340, 314, 339, 267, 1535, 3910, 512, 316, 1315, 269, 512, 9847, 476, 271, 267, 1775, 4318, 269, 1491, 519, 12045, 1101, 267, 543, 12990, 519, 1871, 512, 284, 271, 1152, 19952, 269, 1107, 1109, 306, 345, 21966, 14369, 4924, 476, 275, 1412, 1691, 693, 476, 1626, 281, 2918, 692, 7712, 579, 20572, 267, 271, 316, 1281, 711, 4096, 593, 512, 1114, 11868, 5012, 547, 476, 271, 2525, 271, 269, 898, 1058, 581, 14216, 29719, 314, 272, 267, 476, 271, 6012, 340, 6012, 271, 267, 1535, 316, 2652, 476, 271, 4746, 585, 707, 1966, 835, 2115, 930, 10465, 2175, 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 ]
[ 0, 589, 1906, 1296, 3516, 267, 594, 729, 2324, 607, 606, 11653, 693, 513, 2101, 23825, 2754, 269, 1284, 941, 25461, 609, 3384, 543, 7598, 513, 5969, 12967, 2011, 8878, 1062, 602, 1131, 22499, 519, 1259, 938, 4108, 14014, 938, 22839, 269, 2311, 1101, 267, 3388, 4682, 12347, 269, 1284, 5342, 3573, 1382, 543, 1646, 267, 7318, 3875, 30384, 267, 543, 5555, 12306, 593, 513, 1374, 602, 649, 5156, 1131, 581, 11212, 2500, 780, 2171, 6410, 4464, 609, 5663, 267, 2679, 6216, 1007, 15327, 543, 1427, 20995, 938, 4600, 547, 6023, 519, 1950, 2504, 3157, 2838, 585, 713, 1007, 2029, 269, 898, 729, 513, 4101, 855, 3078, 942, 267, 543, 649, 782, 5433, 10583, 547, 581, 851, 540, 1945, 865, 14262, 780, 3719, 1287, 267, 9568, 13351, 269, 4438, 835, 540, 938, 3803, 21448, 540, 4152, 267, 649, 4362, 513, 2565, 16950, 538, 519, 1062, 781, 5752, 269, 1403, 15181, 267, 519, 2011, 8878, 1062, 1223, 5732, 31495, 13133, 7874, 8484, 607, 10546, 6937, 543, 1491, 873, 1524, 269, 901, 729, 15069, 30849, 267, 543, 649, 6785, 649, 1185, 547, 979, 1394, 547, 519, 5373, 4604, 780, 763, 2319, 729, 10969, 730, 269, 1284, 1185, 2322, 865, 1454, 942, 267, 4674, 267, 543, 2200, 883, 713, 1788, 267, 543, 1631, 621, 8604, 899, 621, 729, 782, 585, 4986, 269, 1809, 3079, 540, 4758, 909, 267, 649, 23060, 1524, 269, 1284, 5249, 1472, 519, 9219, 267, 26311, 936, 1169, 1899, 540, 3009, 543, 4881, 9118, 13502, 2394, 649, 6368, 4857, 519, 1966, 543, 3357, 909, 609, 513, 3070, 780, 2005, 7012, 1405, 2653, 267, 543, 972, 941, 1082, 3735, 17334, 543, 12699, 9840, 2059, 519, 1259, 269, 1809, 6038, 267, 649, 7307, 547, 4368, 519, 3390, 543, 2347, 519, 1788, 6707, 269, 1656, 950, 519, 2011, 8878, 1062, 729, 6368, 18611, 267, 621, 9863, 547, 581, 1256, 811, 2500, 982, 649, 1185, 8385, 12479, 780, 19185, 1394, 593, 602, 1995, 267, 594, 993, 18056, 540, 875, 1271, 16177, 543, 8990, 666, 581, 538, 519, 3068, 540, 14488, 269, 4634, 950, 1919, 3100, 6926, 752, 652, 267, 621, 781, 2629, 547, 1832, 11319, 4464, 543, 2760, 2285, 909, 269, 5221, 3006, 267, 519, 6574, 24984, 2097, 689, 519, 1034, 6397, 2591, 269, 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, 18658, 568, 519, 1184, 585, 3384, 543, 7598, 1007, 2011, 8878, 4066, 543, 1949, 888, 296, 798, 711, 723, 1699, 1702, 540, 519, 1184, 585, 3384, 543, 7598, 1007, 2011, 8878, 4066, 543, 1949, 269, 2705, 267, 538, 2489, 267, 1934, 616, 519, 2596, 3268, 543, 9270, 1384, 272, 269, 2932, 1382, 543, 1646, 281, 713, 3322, 15388, 1761, 4066, 543, 12570, 741, 23250, 269, 713, 949, 1331, 7811, 2090, 267, 8047, 1382, 267, 543, 1486, 19685, 780, 273, 269, 4152, 281, 2899, 513, 9621, 2029, 814, 1044, 4857, 267, 513, 3126, 540, 4255, 786, 581, 5342, 547, 3313, 922, 12117, 543, 10727, 269, 891, 4255, 949, 581, 5342, 538, 513, 8047, 610, 538, 2361, 2175, 780, 274, 269, 5663, 281, 2899, 513, 2029, 814, 1044, 8810, 2500, 267, 621, 786, 991, 547, 581, 14475, 585, 7839, 946, 269, 713, 949, 2154, 2679, 1007, 15327, 610, 27164, 7257, 1154, 4540, 5663, 3515, 780, 275, 269, 5610, 281, 519, 2011, 8878, 2029, 786, 991, 547, 581, 7471, 883, 4540, 8878, 1949, 267, 799, 949, 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 ]
[ 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 32085, 15350, 543, 32522, 2496, 7692, 281, 670, 7825, 267, 594, 1589, 865, 267, 3884, 1405, 621, 1945, 899, 19551, 1141, 1919, 616, 610, 4466, 707, 1259, 1472, 4025, 2496, 8334, 281, 22549, 256, 898, 781, 938, 2634, 781, 2702, 547, 3314, 6753, 543, 6330, 998, 5624, 269, 1280, 1383, 267, 798, 596, 3314, 875, 547, 1205, 547, 938, 1153, 2496, 7692, 281, 8786, 267, 594, 666, 4605, 519, 8905, 538, 1250, 2212, 910, 2490, 1318, 693, 519, 2462, 3529, 267, 1287, 2451, 693, 519, 6288, 267, 543, 2786, 6619, 547, 3914, 519, 1153, 10766, 780, 8334, 281, 2334, 781, 8901, 3965, 538, 2962, 256, 3807, 899, 875, 649, 946, 21056, 547, 948, 721, 3314, 11507, 267, 1082, 2831, 849, 7048, 593, 741, 8901, 3965, 585, 6668, 780, 7692, 281, 7937, 267, 899, 875, 5017, 22109, 1279, 9883, 1210, 519, 7158, 540, 6801, 543, 21056, 2496, 8334, 281, 25999, 256, 1656, 1934, 781, 1776, 3364, 910, 3006, 267, 950, 649, 2911, 827, 2469, 12341, 267, 649, 1522, 3277, 547, 1919, 538, 519, 10450, 1510, 12799, 20803, 873, 269, 4197, 1346, 13865, 10881, 2337, 721, 1246, 7391, 1732, 780, 7692, 281, 2052, 596, 2285, 803, 606, 1383, 2496, 8334, 281, 17610, 269, 5994, 2576, 6031, 267, 834, 7883, 2250, 519, 4544, 2777, 267, 1491, 513, 2451, 267, 543, 596, 3513, 1265, 621, 1701, 1358, 2811, 13288, 547, 8901, 3965, 543, 12445, 2094, 789, 8263, 596, 917, 1018, 519, 4544, 2777, 5654, 899, 543, 922, 4087, 780, 7692, 281, 20944, 621, 256, 1924, 8901, 3965, 568, 1898, 585, 1312, 10188, 519, 1158, 543, 1620, 7391, 827, 4025, 780, 8334, 281, 1411, 3893, 621, 256, 1635, 9878, 3007, 547, 938, 1604, 543, 2679, 2790, 7851, 267, 649, 666, 1847, 1472, 7561, 1247, 849, 1373, 2111, 547, 1174, 1866, 950, 789, 4766, 8846, 610, 6753, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21788, 4753, 281, 968, 15275, 2305, 540, 513, 19716, 2223, 538, 17912, 22588, 569, 267, 5292, 269, 476, 4391, 267, 3143, 269, 476, 274, 267, 11354, 267, 476, 2735, 275, 267, 6032, 269, 476, 4391, 1700, 6246, 563, 314, 1103, 519, 1739, 1557, 267, 23765, 23607, 519, 5837, 1232, 611, 775, 540, 16653, 542, 328, 779, 3197, 538, 22384, 540, 513, 19716, 24358, 11854, 1136, 540, 4414, 19164, 267, 16653, 542, 328, 2899, 1767, 602, 621, 729, 711, 513, 1267, 855, 1382, 267, 606, 19038, 6609, 799, 1223, 4019, 1175, 607, 8308, 547, 782, 1010, 7766, 2239, 8874, 267, 2394, 1631, 269, 769, 22384, 540, 513, 19716, 267, 1010, 1101, 7969, 4670, 538, 5176, 1079, 5756, 267, 272, 16653, 542, 328, 19597, 919, 543, 1201, 1149, 519, 6101, 543, 21044, 29293, 1500, 4505, 267, 16471, 24672, 519, 7493, 687, 540, 519, 2296, 25082, 8874, 609, 519, 811, 15982, 2113, 24586, 543, 4514, 7154, 540, 18572, 540, 519, 7969, 8874, 269, 769, 1840, 547, 5373, 689, 1010, 1991, 6901, 609, 2681, 267, 3350, 267, 3280, 267, 543, 1395, 5653, 267, 16653, 542, 328, 6001, 525, 1010, 7453, 999, 593, 519, 946, 540, 6382, 6671, 6101, 3457, 676, 11766, 532, 3875, 8755, 10587, 543, 16148, 7696, 338, 267, 606, 11606, 540, 3063, 1673, 773, 1326, 545, 12462, 6124, 23027, 26158, 5016, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 6312, 658, 15350, 543, 32522, 257, 607, 851, 540, 834, 25787, 1315, 10960, 1299, 22414, 10017, 2580, 6098, 693, 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 ]
[ 0, 25387, 267, 519, 1374, 543, 2504, 540, 1034, 1893, 9162, 616, 676, 1875, 5025, 32106, 6340, 3549, 799, 2164, 538, 26516, 7526, 609, 938, 2528, 543, 1893, 269, 3733, 2832, 568, 547, 1374, 9162, 267, 2523, 585, 519, 12428, 1893, 267, 607, 606, 6259, 14704, 8885, 267, 547, 5963, 1459, 519, 3178, 543, 17381, 540, 519, 12428, 1893, 267, 10223, 782, 621, 666, 2709, 563, 288, 32106, 1893, 1565, 9162, 616, 3274, 25718, 519, 1482, 1404, 2409, 543, 2326, 1031, 585, 5824, 4654, 282, 1034, 540, 873, 946, 519, 835, 3562, 14633, 4484, 4276, 1505, 269, 2060, 5824, 16707, 267, 972, 616, 1079, 2081, 540, 1603, 1142, 4484, 281, 3854, 5022, 543, 1507, 2013, 5022, 269, 1717, 267, 538, 12428, 972, 616, 2185, 2081, 547, 2328, 1142, 4484, 4470, 593, 922, 13307, 538, 519, 2262, 910, 4098, 267, 1647, 267, 610, 1439, 910, 543, 519, 5022, 602, 2097, 1354, 610, 1310, 269, 2060, 519, 835, 3562, 14633, 1505, 1373, 23652, 547, 12428, 1893, 1565, 9162, 267, 1453, 3112, 1106, 513, 1697, 12428, 2262, 676, 11093, 5094, 5022, 1985, 547, 1142, 824, 267, 1577, 4805, 519, 5250, 540, 811, 1950, 5220, 563, 7212, 519, 23877, 540, 5022, 568, 513, 2101, 3390, 538, 1893, 9162, 267, 621, 568, 711, 519, 1152, 835, 269, 589, 1114, 2460, 540, 12428, 602, 4991, 20495, 538, 11442, 1374, 568, 519, 1114, 8677, 607, 12428, 568, 513, 2007, 29754, 545, 1893, 269, 18190, 12428, 267, 610, 674, 639, 3620, 320, 267, 568, 519, 4013, 9275, 543, 2854, 1893, 267, 1031, 538, 6101, 6381, 267, 610, 1164, 3871, 630, 2419, 691, 476, 272, 264, 971, 607, 519, 2069, 1062, 543, 2229, 19359, 269, 1717, 267, 519, 1083, 13926, 8984, 540, 519, 1893, 2501, 538, 519, 1082, 22463, 9275, 2066, 519, 6259, 2622, 269, 28064, 1893, 267, 1031, 538, 1970, 3871, 630, 2419, 691, 272, 264, 814, 1044, 8032, 543, 4957, 2066, 519, 1296, 538, 513, 10923, 2631, 4611, 538, 1082, 22463, 269, 15873, 476, 273, 16174, 1063, 2010, 540, 30351, 658, 8677, 540, 12428, 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 ]
[ 0, 21158, 1299, 15080, 454, 268, 15531, 9388, 693, 606, 1148, 9754, 2228, 6300, 454, 268, 8381, 11529, 12348, 602, 1118, 2724, 454, 268, 1215, 3610, 666, 1451, 547, 960, 609, 3237, 454, 268, 1215, 547, 2149, 707, 1286, 950, 10707, 609, 10130, 454, 268, 4208, 1565, 1058, 581, 1187, 454, 268, 27986, 707, 1286, 781, 5862, 9096, 454, 268, 1548, 4422, 883, 5929, 1835, 3518, 14735, 454, 268, 1215, 547, 18055, 609, 552, 1790, 16993, 454, 268, 7316, 547, 1265, 519, 1655, 1835, 3518, 14735, 454, 268, 16871, 519, 2591, 540, 13781, 4763, 454, 29222, 11061, 18768, 910, 31611, 11660, 454, 29222, 7998, 3785, 4001, 3214, 538, 606, 19278, 1259, 454, 27736, 666, 10625, 19421, 540, 3621, 8906, 609, 1187, 7998, 3785, 602, 4001, 543, 7038, 256, 31611, 11660, 2337, 1453, 1451, 827, 2257, 538, 513, 3946, 6823, 1259, 602, 789, 3513, 2648, 563, 268, 11559, 707, 1126, 781, 7279, 609, 1187, 7998, 3785, 602, 4001, 1200, 827, 519, 1158, 540, 2257, 269, 22320, 707, 1378, 9059, 4677, 1369, 3108, 610, 2119, 547, 21264, 519, 8904, 12413, 3539, 7599, 1025, 984, 15074, 256, 18768, 602, 786, 2285, 3214, 513, 2212, 1376, 538, 7998, 1331, 14614, 1402, 2257, 267, 12285, 1166, 889, 828, 4603, 6539, 267, 979, 1993, 344, 30437, 15074, 4603, 6539, 610, 519, 7998, 19046, 6539, 2807, 1224, 811, 454, 1607, 17048, 568, 4867, 856, 540, 6006, 563, 8923, 3406, 998, 938, 6688, 585, 1776, 17048, 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 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 7316, 1281, 4432, 6665, 2307, 519, 1268, 593, 519, 6049, 693, 519, 1439, 540, 3848, 476, 280, 547, 2743, 1864, 888, 273, 269, 3967, 564, 3081, 1352, 1031, 547, 581, 899, 13322, 13090, 563, 274, 269, 1548, 1281, 4432, 6665, 2995, 3967, 564, 827, 5128, 538, 3848, 476, 1015, 888, 275, 269, 21231, 267, 4432, 6665, 5205, 519, 1025, 1180, 7911, 547, 13322, 30668, 563, 276, 269, 769, 3848, 476, 277, 267, 1018, 1281, 4432, 6665, 798, 1354, 646, 2306, 14254, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 1281, 31130, 979, 547, 4432, 6665, 585, 948, 888, 273, 269, 4208, 568, 31130, 4313, 539, 676, 6469, 640, 888, 274, 269, 14674, 519, 10040, 538, 11968, 21634, 714, 22193, 563, 275, 269, 1548, 568, 1713, 827, 4432, 6665, 781, 6049, 1289, 689, 7200, 7313, 527, 6652, 888, 276, 269, 14674, 519, 2736, 2987, 693, 4432, 6665, 781, 1378, 1753, 563, 277, 269, 5808, 568, 12275, 21884, 888, 278, 269, 5808, 568, 23052, 344, 32573, 3626, 888, 279, 269, 14674, 4432, 6665, 781, 2078, 547, 1010, 3032, 563, 280, 269, 5808, 568, 4793, 878, 807, 918, 1803, 888, 1015, 269, 4208, 1281, 31130, 1745, 13943, 2469, 998, 1200, 9393, 781, 5638, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 24718, 543, 4334, 4432, 6665, 543, 15608, 623, 833, 607, 7980, 543, 21847, 269, 5808, 4667, 547, 581, 519, 9120, 25142, 888, 13625, 13445, 476, 273, 454, 28097, 519, 4644, 547, 18200, 781, 1915, 538, 602, 646, 5747, 3843, 547, 4688, 1010, 5067, 781, 1272, 563, 13625, 13445, 476, 274, 454, 28097, 543, 2491, 875, 834, 763, 14559, 781, 14175, 1723, 520, 257, 568, 513, 9135, 3209, 543, 1018, 1362, 5809, 621, 607, 971, 563, 1607, 3296, 3568, 476, 21878, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4002, 4864, 476, 273, 267, 476, 5908, 273, 267, 519, 476, 8618, 560, 744, 9654, 267, 799, 568, 851, 540, 519, 476, 272, 560, 23394, 1228, 267, 476, 273, 526, 10406, 540, 519, 594, 17620, 267, 568, 1869, 4092, 693, 590, 704, 787, 6807, 267, 9098, 269, 769, 1010, 4484, 267, 7917, 6645, 1010, 4651, 602, 789, 616, 7996, 693, 590, 704, 787, 6807, 585, 606, 4323, 689, 20752, 4937, 661, 6202, 543, 1010, 15555, 1819, 547, 581, 476, 736, 267, 1822, 547, 476, 1789, 267, 1822, 812, 7952, 269, 589, 2101, 851, 540, 519, 4484, 4145, 513, 4484, 602, 7902, 538, 519, 595, 32385, 10620, 968, 294, 1794, 8291, 892, 11356, 827, 519, 5742, 7952, 968, 680, 8974, 532, 1169, 1560, 540, 3388, 602, 789, 22234, 543, 9870, 595, 664, 3622, 1848, 7917, 1219, 1742, 519, 7952, 676, 7713, 602, 28532, 6105, 616, 2556, 1317, 789, 723, 968, 331, 8077, 540, 4986, 547, 3548, 1848, 7917, 32195, 519, 4484, 676, 6031, 646, 568, 1869, 29043, 609, 519, 3510, 538, 519, 476, 8618, 560, 543, 1360, 1454, 1131, 899, 547, 4734, 543, 6443, 1776, 31458, 1373, 4646, 538, 11882, 269, 630, 9558, 5296, 540, 7917, 4484, 267, 4864, 476, 273, 267, 476, 5908, 273, 994, 15507, 713, 18248, 454, 310, 2431, 3557, 2160, 23905, 262, 7981, 26888, 543, 19964, 7143, 3699, 596, 547, 938, 5816, 269, 15012, 721, 607, 649, 2671, 1344, 267, 3377, 543, 2027, 2621, 267, 5031, 938, 10070, 267, 543, 1865, 31150, 2152, 563, 2252, 596, 723, 519, 4316, 267, 5225, 3643, 721, 538, 1268, 267, 1932, 256, 1284, 2811, 4092, 593, 519, 8772, 6989, 540, 519, 14480, 8663, 7732, 593, 519, 13464, 540, 19159, 3557, 2160, 538, 4303, 2023, 267, 11882, 563, 14188, 596, 585, 16069, 676, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 10563, 350, 364, 422, 365, 368, 423, 361, 372, 454, 15893, 815, 476, 271, 454, 604, 1297, 3436, 476, 274, 10778, 825, 1820, 2891, 274, 424, 368, 486, 422, 367, 376, 8442, 1948, 10563, 488, 353, 425, 492, 502, 27338, 424, 488, 353, 476, 275, 32174, 506, 32174, 478, 952, 423, 361, 372, 14602, 502, 21844, 372, 364, 424, 353, 478, 256, 630, 423, 364, 502, 423, 497, 506, 424, 489, 506, 10563, 356, 478, 424, 376, 506, 424, 499, 376, 17432, 357, 994, 19197, 1297, 2652, 476, 271, 281, 3097, 825, 1820, 2891, 15893, 32629, 498, 476, 271, 5602, 12828, 2433, 3097, 825, 1820, 2891, 274, 27338, 17432, 502, 5602, 2745, 28840, 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 ]
[ 0, 4495, 2390, 513, 942, 538, 513, 1507, 4884, 3957, 23068, 6807, 267, 972, 5030, 1082, 7874, 12543, 945, 6068, 4543, 1142, 824, 856, 269, 1358, 782, 1185, 2027, 4408, 1572, 834, 25791, 3354, 2338, 257, 799, 941, 2016, 547, 873, 950, 789, 941, 4535, 269, 901, 1297, 5280, 873, 798, 6266, 540, 1271, 1919, 899, 2469, 547, 1153, 267, 3478, 26345, 1426, 693, 519, 17365, 4558, 267, 610, 1256, 9683, 519, 4387, 950, 2576, 3893, 10413, 2439, 3080, 1554, 267, 6004, 269, 26302, 630, 15367, 729, 3743, 585, 2921, 1416, 540, 3025, 781, 2115, 264, 7691, 1945, 9490, 910, 930, 14229, 21294, 7068, 4941, 547, 21102, 1346, 2027, 1514, 3354, 2338, 256, 3502, 1152, 1131, 621, 2014, 8373, 952, 789, 3576, 2576, 3116, 781, 2012, 267, 855, 849, 1500, 621, 2352, 585, 519, 1483, 1268, 547, 2972, 1272, 538, 23068, 6807, 269, 1924, 267, 646, 4956, 547, 1711, 513, 9589, 3070, 1572, 519, 834, 15275, 640, 634, 1111, 10644, 2920, 3010, 1607, 8748, 1876, 11074, 4896, 689, 16550, 1866, 883, 2348, 1175, 835, 2582, 1259, 540, 18445, 945, 596, 616, 1107, 707, 1514, 3354, 1297, 269, 5502, 267, 1169, 12504, 538, 23068, 6807, 4607, 513, 6216, 20642, 5728, 3009, 267, 1634, 1152, 547, 2933, 543, 6004, 269, 26302, 269, 1261, 16219, 2760, 2479, 2671, 891, 11580, 609, 4896, 4849, 950, 2877, 585, 2731, 1434, 4128, 269, 2334, 1797, 1100, 811, 4687, 9479, 1282, 3756, 610, 1247, 4730, 12404, 543, 3343, 2439, 3086, 267, 2370, 3283, 1522, 4898, 875, 713, 5540, 873, 2094, 789, 1810, 1405, 979, 10918, 4805, 2943, 610, 991, 547, 3643, 7189, 1510, 544, 20207, 610, 546, 23098, 1472, 269, 4270, 267, 4952, 952, 562, 2795, 1399, 25277, 6836, 27560, 22400, 22788, 11276, 7703, 256, 1411, 9327, 1405, 1616, 602, 267, 1318, 286, 769, 519, 1482, 1259, 267, 7863, 938, 2828, 262, 1514, 3354, 2338, 8952, 873, 2922, 865, 789, 666, 2141, 1404, 1927, 25747, 780, 3383, 3314, 632, 11732, 3214, 267, 8164, 596, 5873, 827, 834, 25791, 3354, 2437, 1589, 540, 621, 607, 707, 1378, 18241, 22788, 11276, 7703, 602, 1590, 3251, 2673, 547, 596, 543, 6870, 269, 2913, 781, 948, 3262, 11587, 2429, 23068, 6807, 543, 1832, 16764, 2922, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24127, 476, 1220, 276, 2443, 634, 3883, 540, 27050, 6754, 454, 1220, 276, 27050, 6754, 3848, 476, 272, 454, 295, 2177, 269, 681, 2177, 13698, 8085, 5508, 570, 13052, 3008, 454, 289, 9128, 16800, 5990, 2475, 32764, 27516, 5508, 29187, 305, 2464, 7728, 288, 30888, 2464, 454, 20464, 476, 277, 267, 476, 1220, 276, 454, 30025, 9517, 338, 543, 14740, 634, 1111, 454, 1220, 276, 27050, 6754, 476, 272, 281, 272, 454, 16031, 269, 29150, 267, 2221, 594, 6338, 519, 14740, 634, 1111, 10644, 2920, 269, 901, 957, 454, 1492, 1977, 1004, 689, 2229, 2173, 663, 730, 7833, 1541, 13294, 602, 454, 1440, 10675, 6760, 607, 1134, 607, 519, 6057, 540, 15698, 269, 634, 2101, 11865, 540, 454, 15275, 640, 634, 1111, 10644, 2920, 10300, 1206, 519, 2259, 540, 1210, 519, 4317, 454, 15893, 607, 606, 32165, 676, 8506, 519, 4317, 8232, 10029, 454, 718, 4892, 1007, 4317, 8232, 2338, 1369, 2947, 1296, 1310, 519, 454, 1993, 519, 3915, 269, 1452, 1007, 2338, 786, 581, 519, 6852, 3656, 3959, 540, 519, 454, 663, 519, 4317, 8232, 7245, 4927, 581, 24193, 547, 2820, 592, 613, 454, 1721, 1022, 5301, 711, 1644, 547, 4317, 8232, 7245, 269, 4317, 454, 11133, 1499, 9783, 1354, 6388, 540, 713, 3915, 4927, 1100, 3476, 581, 454, 20777, 5313, 1541, 13294, 269, 2986, 1576, 267, 519, 4317, 8232, 454, 2041, 2111, 547, 946, 606, 2043, 3312, 4317, 1530, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 5274, 3004, 16751, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22091, 7859, 616, 2942, 2338, 269, 901, 568, 1031, 538, 2979, 513, 2603, 563, 17463, 20581, 547, 20581, 454, 1492, 20800, 568, 513, 2942, 454, 13043, 1362, 267, 5687, 18852, 563, 27078, 894, 2338, 1797, 454, 1103, 2979, 519, 1611, 568, 519, 3328, 269, 1403, 596, 1616, 519, 1611, 540, 513, 1895, 540, 2338, 596, 1039, 873, 782, 1927, 269, 3973, 596, 7941, 676, 519, 875, 1082, 2338, 972, 616, 563, 13043, 568, 1500, 540, 2338, 543, 4632, 269, 4107, 1919, 538, 519, 1158, 4125, 2979, 269, 1677, 803, 267, 621, 1797, 2338, 543, 2338, 4534, 4986, 3116, 563, 13433, 543, 1310, 596, 9096, 707, 2979, 960, 593, 707, 6121, 1067, 454, 8133, 267, 952, 596, 616, 19011, 1645, 2338, 602, 1331, 2942, 2338, 563, 1492, 1611, 630, 514, 2979, 264, 568, 519, 3328, 540, 782, 519, 2338, 538, 519, 1966, 454, 1415, 4759, 540, 513, 1305, 540, 2318, 2898, 2338, 630, 272, 269, 273, 269, 274, 4700, 2942, 2898, 2338, 11196, 272, 16427, 273, 16427, 274, 267, 3738, 543, 4642, 263, 271, 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 ]
[ 0, 16215, 476, 3393, 2042, 609, 1109, 753, 9955, 689, 5291, 2517, 4178, 269, 3667, 9248, 16451, 3820, 13045, 23921, 6435, 286, 16797, 11872, 454, 16215, 476, 3393, 6178, 539, 10606, 454, 7883, 547, 5149, 476, 5379, 1741, 5231, 26076, 12039, 3396, 1109, 4569, 5769, 7732, 692, 16534, 476, 272, 288, 264, 476, 272, 289, 264, 476, 272, 290, 264, 7994, 519, 2953, 3090, 630, 283, 267, 815, 267, 3436, 3738, 547, 2347, 891, 6898, 269, 476, 273, 264, 476, 275, 12223, 910, 274, 476, 274, 264, 910, 273, 21718, 910, 275, 476, 275, 264, 910, 275, 1341, 476, 279, 21718, 476, 279, 910, 476, 275, 16534, 476, 276, 264, 910, 279, 1341, 476, 277, 815, 476, 277, 264, 910, 1691, 910, 11196, 1321, 264, 815, 476, 278, 264, 910, 276, 1341, 11196, 280, 264, 815, 476, 279, 264, 476, 280, 910, 11196, 276, 264, 815, 476, 280, 264, 910, 276, 910, 630, 279, 264, 910, 11196, 274, 264, 815, 476, 1015, 264, 630, 277, 7565, 268, 279, 264, 815, 476, 1556, 264, 11196, 279, 7565, 268, 277, 264, 815, 476, 1321, 264, 476, 1724, 264, 11196, 4510, 8358, 8987, 1556, 264, 815, 476, 1691, 264, 6904, 1297, 568, 1063, 910, 3953, 269, 277, 543, 910, 3451, 269, 6860, 286, 589, 264, 910, 3953, 269, 274, 645, 264, 910, 3953, 269, 10037, 595, 264, 910, 3953, 269, 276, 667, 264, 910, 3953, 269, 5400, 8382, 21718, 476, 1428, 264, 476, 275, 1341, 11196, 277, 264, 910, 630, 275, 264, 815, 16534, 1626, 264, 910, 275, 910, 276, 1341, 476, 1556, 815, 476, 1704, 264, 910, 275, 263, 274, 264, 1341, 476, 279, 815, 476, 1240, 264, 476, 274, 263, 271, 264, 910, 476, 276, 815 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1477, 258, 18130, 6403, 857, 334, 5124, 476, 4029, 281, 2677, 523, 14179, 9366, 19804, 1982, 320, 6446, 829, 326, 2863, 324, 1477, 258, 513, 1253, 5889, 333, 25556, 632, 579, 2742, 642, 16489, 332, 900, 918, 332, 269, 2836, 9908, 522, 840, 9809, 334, 13005, 8574, 332, 267, 1477, 258, 25865, 8681, 334, 681, 259, 271, 267, 2004, 11188, 918, 332, 16948, 19274, 698, 839, 632, 693, 2946, 476, 1220, 298, 332, 552, 681, 259, 271, 267, 3393, 1477, 258, 16948, 19274, 698, 839, 544, 9820, 1279, 553, 269, 5897, 23251, 815, 703, 9272, 3488, 304, 783, 513, 1253, 5889, 333, 25556, 13005, 642, 16489, 332, 286, 1412, 264, 10142, 604, 1253, 10922, 476, 1220, 6769, 825, 27089, 815, 1253, 2608, 476, 271, 269, 2004, 1477, 825, 1820, 3488, 302, 27089, 13005, 8574, 332, 16948, 829, 14585, 17243, 15079, 298, 332, 20527, 681, 259, 2715, 15545, 273, 325, 348, 8339, 8971, 5560, 626, 267, 27089, 17903, 12828, 6769, 825, 27089, 815, 1253, 2608, 476, 271, 269, 3393, 1477, 825, 1820, 3488, 302, 27089, 13005, 8574, 332, 16948, 829, 14585, 17243, 15079, 298, 332, 20527, 681, 259, 2715, 15545, 273, 325, 348, 8339, 8971, 5560, 626, 267, 27089, 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 ]
[ 0, 310, 31581, 267, 4651, 267, 19829, 454, 2467, 568, 1100, 21626, 1317, 713, 568, 513, 6870, 2022, 563, 10501, 6685, 568, 513, 3532, 18463, 585, 1565, 543, 1210, 14374, 2861, 1565, 666, 15407, 1761, 269, 3371, 616, 476, 277, 2994, 585, 707, 4928, 563, 5719, 28838, 5156, 602, 519, 5626, 543, 1514, 5011, 616, 1644, 543, 602, 968, 25531, 3112, 581, 9833, 607, 513, 14207, 1063, 519, 1079, 3034, 10376, 11954, 3625, 814, 606, 1383, 540, 513, 1565, 6662, 7222, 609, 1142, 4999, 540, 519, 5042, 1184, 543, 1702, 7516, 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 ]
[ 0, 476, 275, 269, 273, 28686, 14409, 538, 16594, 32185, 692, 7072, 692, 8702, 1394, 267, 14971, 3173, 256, 769, 713, 3078, 1007, 3296, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 5365, 4393, 538, 4633, 8226, 269, 901, 1858, 540, 1353, 27180, 875, 938, 12058, 6460, 519, 1950, 3270, 540, 3280, 6329, 3812, 1282, 4633, 883, 6209, 10409, 1344, 269, 1635, 1620, 519, 5817, 6127, 3238, 538, 5365, 4393, 267, 649, 666, 2744, 3407, 4030, 883, 519, 2081, 3425, 13498, 543, 4612, 9275, 1893, 269, 1924, 31617, 909, 607, 649, 7832, 593, 2943, 1776, 13858, 3460, 998, 12985, 3631, 540, 17391, 17133, 2439, 14294, 531, 14409, 17943, 692, 6524, 11362, 2212, 14140, 883, 519, 14960, 540, 4633, 8226, 267, 1577, 721, 1101, 3715, 930, 4909, 2035, 1644, 547, 5365, 4393, 269, 2311, 922, 4295, 267, 5365, 4393, 3322, 7421, 543, 13321, 6786, 24568, 938, 2013, 267, 17974, 6786, 6383, 676, 1480, 9739, 269, 1452, 6786, 2874, 540, 15088, 538, 2011, 2604, 936, 942, 267, 799, 938, 10772, 1287, 7001, 543, 10141, 547, 519, 2634, 269, 1677, 1732, 10146, 891, 6786, 267, 649, 8415, 6310, 2645, 971, 607, 22263, 2079, 267, 3850, 721, 547, 2099, 873, 538, 2474, 540, 741, 4908, 3334, 2864, 982, 1175, 6151, 17931, 2418, 630, 8201, 476, 272, 6393, 314, 11900, 1068, 7612, 476, 272, 281, 5384, 6389, 5288, 22039, 6389, 6041, 6540, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 10932, 12054, 14373, 593, 32492, 17738, 540, 14675, 32185, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 8535, 8226, 2580, 834, 274, 269, 623, 3558, 8226, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 16594, 8226, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 32492, 3631, 540, 4633, 8226, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 273, 269, 28686, 4393, 538, 4633, 8226, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1548, 729, 519, 2063, 15896, 540, 519, 8003, 540, 13243, 267, 4503, 547, 5771, 538, 476, 15782, 272, 888, 12585, 281, 8028, 3918, 454, 2704, 328, 1162, 281, 11059, 609, 18877, 538, 22798, 4789, 267, 8028, 3918, 267, 11059, 609, 2950, 538, 6917, 24469 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2520, 665, 18344, 454, 5228, 2520, 4878, 269, 613, 665, 617, 619, 1104, 715, 7631, 520, 574, 454, 5228, 2520, 4878, 1104, 20211, 31043, 454, 5814, 4351, 7531, 3698, 1205, 318, 613, 334, 318, 6570, 318, 613, 565, 665, 1807, 10857, 665, 2187, 825, 8173, 825, 630, 1598, 264, 9847, 24042, 692, 825, 9577, 2520, 665, 1712, 740, 816, 543, 7024, 621, 781, 20173, 543, 454, 825, 29978, 1210, 2520, 565, 665, 1807, 9074, 454, 825, 8173, 825, 2520, 565, 665, 1807, 815, 715, 7631, 520, 574, 4590, 825, 4087, 815, 2520, 565, 665, 1807, 269, 613, 665, 1712, 10857, 665, 994, 825, 2132, 630, 331, 6327, 7456, 520, 3363, 267, 4087, 7456, 784, 3363, 9239, 3698, 1205, 318, 613, 334, 318, 6570, 318, 6635, 322, 31043, 10857, 665, 2187, 825, 8173, 825, 630, 1598, 264, 9847, 24042, 692, 825, 9577, 2520, 665, 1712, 740, 816, 543, 7024, 621, 781, 20173, 543, 454, 825, 29978, 1210, 20211, 31043, 16286, 454, 825, 8173, 825, 1327, 1807, 815, 20211, 31043, 263, 5503, 719, 284, 1015, 994, 825, 1747, 815, 1327, 1807, 269, 613, 665, 1712, 10857, 665, 994, 825, 952, 711, 1747, 912, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 2132, 630, 2897, 7456, 520, 3363, 267, 1747, 7456, 784, 3363, 9239, 3698, 1205, 318, 613, 334, 318, 6570, 318, 2998, 4355, 10857, 665, 267, 3284, 328, 318, 4486, 2187, 825, 8173, 825, 630, 1598, 267, 1193, 264, 9847, 24042, 692, 825, 9577, 2520, 665, 1712, 740, 816, 543, 7024, 621, 781, 20173, 543, 454, 825, 29978, 1210, 5616, 16286, 269, 9373, 707, 16286, 1883, 568, 2556, 454, 825, 8173, 825, 575, 815, 2520, 665, 18344, 269, 2998, 4355, 10857, 665, 267, 1883, 284, 777, 328, 318, 4486, 994, 825, 2132, 575, 7456, 520, 331, 978, 692, 3698, 4351, 318, 1723, 3581, 10031, 825, 8173, 825, 630, 14085, 264, 9847, 24042, 692, 825, 9577, 12958, 4351, 20173, 543, 29978, 454, 825, 8173, 825, 20173, 815, 4351, 27110, 8987, 3445, 267, 476, 3445, 11924, 12690, 26509, 6134, 263, 271, 267, 476, 272, 994, 825, 29978, 815, 4351, 27110, 8987, 5197, 267, 476, 5197, 11924, 12690, 26509, 6134, 263, 271, 267, 476, 272, 994, 825, 2132, 630, 26245, 3363, 267, 14075, 3363, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8489, 616, 631, 4115, 18722, 888, 300, 4115, 18722, 729, 513, 3109, 22256, 630, 6245, 278, 268, 1960, 274, 1916, 300, 4115, 18722, 5795, 721, 519, 5639, 269, 4173, 5639, 568, 835, 538, 513, 2929, 269, 1879, 1352, 31025, 621, 729, 606, 5863, 3280, 269, 4173, 10781, 941, 6444, 543, 28165, 609, 1082, 26065, 269, 476, 6245, 278, 910, 631, 4115, 18722, 4535, 5988, 476, 2767, 267, 476, 6245, 278, 269, 476, 272, 476, 4489, 277, 910, 23548, 1231, 4974, 609, 2871, 1047, 28500, 32181, 515, 26152, 269, 476, 273, 476, 4572, 276, 910, 631, 4115, 18722, 15824, 609, 1715, 3840, 5845, 327, 1301, 4577, 2107, 3832, 14259, 269, 476, 274, 476, 4350, 271, 910, 631, 4115, 18722, 3587, 1101, 3109, 4775, 547, 1685, 693, 31257, 8065, 269, 476, 275, 476, 4350, 280, 910, 9324, 1221, 7498, 300, 4115, 18722, 729, 519, 1101, 3979, 1977, 22256, 547, 840, 845, 693, 519, 27062, 28709, 269, 2701, 1185, 513, 1360, 2673, 2078, 609, 1200, 4651, 267, 3627, 18722, 3627, 18722, 729, 513, 8783, 721, 615, 693, 519, 2199, 5783, 269, 631, 4115, 729, 1360, 10583, 540, 1200, 4651, 950, 1352, 729, 513, 2370, 8004, 8384, 1200, 4651, 581, 513, 8783, 721, 615, 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 ]
[ 0, 9223, 281, 769, 7574, 10035, 267, 875, 1082, 5033, 1172, 28316, 3160, 835, 5033, 756, 516, 557, 888, 12585, 281, 16038, 311, 15288, 2894, 454, 2704, 328, 1162, 281, 28465, 267, 16038, 311, 15288, 2894, 267, 476, 1626 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26574, 13809, 15789, 281, 8177, 593, 519, 25667, 20615, 2438, 454, 10932, 13595, 595, 20975, 15311, 300, 3633, 2975, 12114, 15311, 12892, 4915, 15311, 14276, 1072, 4915, 1382, 2127, 15311, 14276, 1072, 2257, 2073, 13379, 13809, 2073, 25667, 267, 5651, 321, 573, 2073, 10791, 2073, 13379, 22159, 15789, 454, 4415, 606, 2810, 9860, 540, 8377, 972, 616, 513, 3395, 1297, 540, 3292, 543, 2409, 585, 2597, 2530, 269, 1703, 616, 1082, 4485, 547, 1199, 1227, 24892, 2597, 2530, 267, 8151, 689, 2242, 547, 2732, 543, 3635, 547, 12362, 6391, 269, 3525, 4733, 2597, 2530, 1419, 3340, 1447, 12362, 2409, 267, 1247, 21693, 573, 569, 17324, 2550, 4171, 1272, 568, 693, 1981, 267, 949, 3870, 513, 811, 12362, 10551, 5650, 269, 901, 1353, 5654, 547, 3313, 952, 2405, 328, 13379, 2530, 3292, 267, 799, 9192, 14278, 8839, 609, 2623, 14842, 267, 568, 6225, 538, 5466, 8377, 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 ]
[ 0, 12163, 9596, 827, 3252, 270, 3698, 20532, 454, 8196, 519, 20438, 281, 1219, 2999, 4067, 285, 10031, 20701, 3698, 1256, 318, 528, 318, 15957, 28840, 2187, 258, 4855, 952, 2901, 1256, 610, 9642, 281, 4164, 1297, 281, 3403, 1297, 454, 258, 2433, 2132, 281, 834, 16838, 257, 593, 1256, 2338, 454, 258, 834, 15957, 257, 593, 9642, 2338, 454, 258, 1590, 723, 693, 2547, 835, 3948, 2676, 258, 865, 649, 3513, 946, 519, 546, 16244, 2493, 1889, 618, 1780, 7531, 672, 952, 1297, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 9497, 16838, 5602, 672, 3116, 912, 1038, 1820, 9497, 15957, 15419, 3698, 1292, 10031, 258, 1289, 1599, 454, 825, 1820, 263, 1029, 4067, 1029, 994, 825, 1256, 318, 528, 318, 15957, 263, 8660, 994, 825, 1256, 318, 528, 318, 15957, 263, 2420, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 825, 14827, 263, 271, 2020, 258, 607, 513, 3773, 3063, 547, 713, 1982, 267, 646, 4280, 721, 547, 12189, 454, 258, 519, 1982, 547, 4429 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2971, 1703, 781, 513, 8559, 538, 1250, 19943, 13718, 288, 12718, 1930, 547, 519, 5790, 568, 2407, 540, 1216, 543, 7555, 20005, 593, 513, 3349, 269, 1703, 616, 1614, 9475, 538, 519, 2427, 540, 519, 12718, 267, 4352, 891, 616, 4988, 547, 1376, 609, 269, 2290, 8559, 568, 476, 272, 270, 275, 540, 519, 1259, 1524, 689, 519, 1283, 267, 1247, 519, 824, 1079, 616, 476, 272, 270, 273, 543, 476, 274, 270, 275, 540, 519, 1259, 1524, 780, 2691, 519, 9475, 616, 20114, 267, 1216, 22534, 856, 269, 6904, 8559, 22534, 519, 1216, 9663, 1492, 560, 23276, 593, 519, 3349, 2496, 272, 269, 634, 8559, 14191, 547, 519, 1283, 563, 273, 269, 634, 8559, 28870, 1524, 563, 274, 269, 634, 8559, 14191, 547, 519, 5377, 563, 275, 269, 898, 781, 513, 1614, 17574, 17063, 780, 1607, 568, 519, 1641, 540, 513, 6780, 1966, 267, 865, 649, 4465, 1405, 979, 998, 782, 519, 3877, 269, 1284, 786, 1205, 3323, 267, 2705, 269, 3399, 609, 513, 8559, 513, 3845, 554, 689, 519, 1283, 540, 519, 12718, 269, 2060, 1018, 3432, 1281, 519, 1216, 10836, 689, 519, 8559, 2496, 4131, 781, 4019, 12672, 537, 25651, 781, 3830, 1384, 16708, 4445, 272, 1341, 476, 16006, 16708, 341, 1321, 1341, 623, 272, 815, 6543, 479, 4445, 273, 1341, 476, 16006, 16708, 341, 2420, 1341, 303, 273, 692, 11592, 476, 273, 666, 581, 1175, 3544, 519, 8559, 267, 865, 519, 2604, 568, 11626, 2604, 269, 1284, 2811, 3168, 585, 642, 273, 269, 8672, 476, 272, 666, 2965, 581, 1022, 1448, 3330, 519, 12718, 267, 4352, 930, 2798, 616, 811, 10375, 547, 960, 609, 982, 1866, 269, 6153, 5079, 1131, 581, 513, 1448, 693, 519, 1482, 1377, 607, 519, 8559, 267, 1141, 519, 2604, 568, 11626, 2604, 1341, 678, 724, 267, 610, 513, 1448, 693, 519, 1283, 540, 519, 12718, 1141, 519, 2604, 568, 11626, 2604, 269, 2913, 781, 2119, 513, 1448, 693, 519, 1283, 540, 519, 12718, 780, 9288, 20011, 586, 781, 689, 519, 1377, 540, 519, 8559, 3947, 1384, 16708, 724, 1341, 476, 16006, 16708, 341, 1321, 1341, 4793, 332, 815, 476, 16006, 16708, 341, 2420, 1341, 4793, 332, 692, 290, 766, 29818, 519, 12503, 267, 543, 1287, 519, 2188, 540, 5860, 267, 649, 2811, 3592, 2944, 1384, 724, 1341, 476, 16006, 341, 1321, 815, 476, 16006, 341, 2420, 692, 1607, 568, 513, 1434, 942, 547, 3142, 538, 519, 15364, 3830, 1384, 288, 272, 341, 272, 815, 589, 273, 341, 273, 692, 763, 1858, 540, 519, 8559, 568, 1454, 1447, 982, 519, 1858, 540, 519, 12718, 267, 865, 649, 786, 3274, 8263, 602, 642, 272, 568, 30050, 3379, 547, 642, 273, 269, 901, 3947, 1384, 724, 815, 476, 16006, 341, 2420, 692, 810, 642, 273, 815, 1496, 273, 724, 316, 16006, 692, 1607, 1058, 1413, 5432, 547, 596, 780, 763, 1964, 540, 519, 2079, 3322, 9301, 602, 519, 1216, 19674, 689, 519, 8559, 609, 606, 3355, 8880, 6991, 267, 543, 7311, 1788, 850, 5163, 4834, 547, 3313, 519, 8880, 3845, 6603, 676, 519, 1216, 6908, 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 ]
[ 0, 3725, 281, 22217, 1518, 692, 1892, 1677, 281, 2979, 16766, 693, 1159, 322, 18192, 6339, 14492, 454, 1892, 13595, 281, 1496, 16936, 30444, 6872, 316, 1234, 281, 22217, 1518, 454, 1892, 3245, 281, 834, 21837, 623, 269, 9652, 257, 2999, 329, 28427, 693, 16354, 339, 343, 12975, 11417, 1892, 11261, 281, 9045, 267, 476, 273, 4924, 476, 1220, 273, 476, 4905, 281, 866, 281, 3953, 910, 30588, 271, 630, 12239, 994, 1892, 9257, 281, 1715, 6792, 15306, 454, 1892, 22108, 281, 2999, 320, 274, 325, 271, 336, 273, 15478, 321, 274, 335, 15478, 272, 287, 8243, 322, 18192, 6339, 14492, 11417, 1892, 590, 2658, 281, 8227, 2914, 686, 2173, 987, 16766, 693, 18896, 1090, 2593, 692, 3499, 1103, 2376, 2999, 320, 274, 325, 271, 336, 273, 15478, 321, 274, 335, 15478, 272, 693, 1159, 322, 18192, 6339, 14492, 285, 267, 853, 747, 1530, 30807, 1014, 454, 283, 572, 321, 14067, 747, 693, 575, 332, 343, 26716, 285, 5206, 1384, 285, 28982, 454, 11417, 285, 1215, 666, 594, 14458, 519, 1739, 2165, 888, 11417, 285, 630, 320, 22677, 272, 270, 274, 264, 910, 536, 22677, 272, 270, 274, 4297, 2608, 16733, 320, 22677, 273, 270, 274, 264, 1341, 630, 629, 8203, 263, 272, 270, 274, 264, 1341, 536, 22677, 273, 270, 274, 4297, 14370, 320, 1532, 4297, 22677, 272, 270, 274, 994, 11417, 285, 1403, 594, 946, 519, 12981, 834, 8245, 680, 1518, 2580, 834, 17359, 8245, 680, 1518, 2580, 834, 22091, 663, 257, 610, 834, 20175, 22091, 663, 4840, 285, 14387, 320, 3085, 1405, 1265, 519, 3070, 563, 285, 634, 3070, 568, 630, 320, 22677, 272, 270, 274, 9984, 321, 22677, 272, 270, 274, 4297, 22677, 273, 270, 274, 994, 285, 1403, 621, 781, 2009, 547, 1265, 519, 3070, 538, 14387, 320, 1223, 14387, 320, 1397, 454, 285, 803, 519, 1259, 713, 3070, 888, 285, 692, 11039, 267, 596, 1223, 1451, 930, 7223, 780, 763, 7274, 630, 320, 22677, 272, 270, 274, 9984, 321, 22677, 272, 270, 274, 4297, 1281, 711, 3160, 630, 320, 1532, 8203, 263, 272, 270, 274, 1070, 865, 596, 666, 1405, 454, 322, 30327, 873, 269, 1656, 4769, 1405, 596, 1611, 16733, 320, 22677, 273, 270, 274, 264, 910, 476, 273, 5416, 265, 321, 8203, 263, 272, 270, 274, 264, 1341, 536, 22677, 273, 270, 274, 4297, 888, 10214, 952, 596, 1705, 267, 596, 666, 1405, 1689, 602, 547, 16733, 320, 317, 273, 910, 476, 273, 5416, 265, 321, 264, 1341, 536, 317, 273, 8203, 263, 272, 270, 274, 13211, 810, 596, 666, 1405, 3815, 519, 4082, 3330, 519, 2034, 24324, 269, 2659, 454, 2889, 12723, 5187, 2305, 568, 2347, 20203, 269, 3143, 4898, 22217, 1518, 314, 2639, 323, 573, 333, 1405, 2097, 909, 609, 621, 780, 734, 454, 5937, 14865, 454, 263, 14294, 1155, 5170, 1934, 994, 301, 11065, 12727, 17179, 519, 1412, 343, 262, 547, 4757, 803, 692, 7884, 1892, 2776, 341, 676, 11261, 281, 1234, 281, 1215, 547, 2721, 971, 476, 274, 291, 2627, 888, 1892, 8921, 676, 11261, 281, 1234, 281, 11822, 7533, 1966, 454, 1892, 19881, 676, 8142, 281, 22217, 1518, 454, 1892, 8921, 676, 8142, 281, 1234, 281, 22217, 1518 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 271, 692, 258, 1215, 1082, 13483, 586, 323, 616, 538, 13483, 10264, 2496, 24993, 281, 476, 275, 270, 2764, 270, 1708, 273, 692, 310, 5942, 14871, 692, 1556, 344, 3516, 692, 272, 13483, 586, 323, 616, 538, 476, 280, 13483, 10264, 692, 310, 5942, 14871, 692, 1556, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 1215, 1082, 13483, 586, 323, 616, 538, 13483, 10264, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 2162, 1215, 1082, 13483, 586, 323, 538, 476, 30589, 13483, 10264, 2496, 280, 13483, 10264, 815, 476, 272, 13483, 586, 323, 30589, 13483, 10264, 815, 476, 6812, 272, 270, 274, 13483, 586, 323, 692, 2162, 476, 272, 4009, 13452, 875, 1082, 13483, 9087, 1824, 2496, 274, 10264, 270, 11770, 1535, 476, 274, 10264, 270, 11770, 815, 476, 280, 13483, 10264, 270, 13483, 586, 323, 780, 2162, 476, 1911, 271, 13483, 10264, 1797, 875, 1082, 13483, 586, 323, 2496, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 265, 272, 586, 323, 815, 476, 274, 10264, 2608, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1924, 476, 1911, 271, 13483, 10264, 815, 476, 1911, 271, 270, 280, 815, 476, 9340, 269, 476, 1556, 1862, 13483, 586, 1091, 780, 2162, 1215, 1082, 13483, 10264, 616, 538, 476, 8618, 269, 3451, 13483, 586, 323, 2496, 272, 13483, 586, 323, 815, 476, 280, 13483, 10264, 8618, 269, 3451, 13483, 586, 323, 815, 630, 8618, 269, 3451, 1535, 476, 280, 264, 815, 476, 4649, 272, 269, 9032, 13483, 10264, 692, 2162, 1215, 1082, 4009, 18126, 538, 513, 4055, 476, 1556, 1111, 1535, 476, 280, 10264, 2496, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 2608, 476, 272, 586, 323, 815, 476, 274, 10264, 2608, 476, 274, 10264, 815, 476, 280, 13483, 10264, 269, 476, 1556, 10264, 2608, 476, 280, 10264, 815, 476, 1556, 265, 280, 13483, 10264, 815, 476, 4200, 13483, 10264, 815, 476, 4200, 270, 280, 13483, 586, 323, 815, 476, 1556, 13483, 586, 323, 692, 2162, 1215, 1082, 4009, 13452, 3160, 4009, 3952, 2496, 272, 586, 323, 815, 476, 274, 10264, 476, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 1535, 476, 272, 586, 323, 815, 476, 274, 10264, 1535, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1299, 337, 6635, 337, 282, 476, 272, 13483, 10264, 815, 476, 272, 270, 280, 13483, 586, 323, 1299, 553, 2096, 335, 282, 476, 271, 269, 1556, 13483, 586, 323, 692, 2162, 1215, 1082, 13483, 10264, 538, 476, 3583, 13483, 586, 1091, 2496, 272, 586, 323, 815, 476, 274, 10264, 476, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 1535, 476, 272, 586, 323, 815, 476, 274, 10264, 1535, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1299, 337, 6635, 337, 282, 476, 3583, 13483, 586, 1091, 815, 476, 3583, 1535, 476, 280, 13483, 10264, 815, 476, 30697, 13483, 10264, 692, 2162, 1215, 1082, 18126, 616, 538, 476, 1911, 271, 338, 336, 3952, 2496, 272, 13483, 269, 586, 323, 269, 815, 476, 280, 13483, 269, 10264, 269, 476, 1911, 271, 1315, 476, 280, 13483, 269, 586, 323, 269, 815, 476, 1911, 271, 13483, 269, 10264, 269, 815, 827, 476, 9340, 13483, 269, 586, 323, 780, 2162, 1215, 1082, 4009, 3952, 568, 476, 23841, 4009, 18126, 2496, 272, 586, 323, 815, 476, 274, 10264, 476, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 1535, 476, 272, 586, 323, 815, 476, 274, 10264, 1535, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1299, 337, 6635, 337, 282, 476, 23841, 13483, 586, 323, 815, 476, 23841, 1535, 476, 280, 13483, 10264, 815, 476, 29876, 276, 13483, 10264, 692, 2162, 1215, 1082, 10264, 616, 538, 476, 15171, 538, 2496, 14140, 2073, 2280, 721, 1265, 519, 6935, 1063, 476, 272, 586, 323, 13483, 543, 476, 272, 10264, 13483, 1547, 933, 1205, 519, 6935, 607, 2433, 272, 10264, 13483, 284, 476, 271, 586, 323, 13483, 476, 272, 269, 1822, 10264, 13483, 935, 31844, 1631, 2073, 15171, 10264, 13483, 815, 1691, 586, 323, 13483, 476, 277, 269, 1822, 876, 10264, 13483, 692, 2162, 1215, 1082, 13483, 18126, 616, 538, 476, 13893, 13483, 3952, 2496, 1626, 13483, 586, 323, 476, 272, 13483, 586, 323, 815, 476, 280, 13483, 10264, 692, 2162, 1215, 1082, 13483, 10264, 540, 5958, 538, 513, 13452, 2496, 280, 13483, 10264, 815, 476, 272, 13483, 586, 323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 14297, 2749, 5030, 1079, 1655, 2828, 267, 15207, 543, 8861, 269, 2290, 13566, 1554, 267, 1247, 4730, 2282, 741, 19887, 2679, 267, 789, 16686, 2390, 513, 21743, 1843, 14084, 593, 519, 2666, 269, 898, 729, 513, 31933, 267, 14328, 3926, 609, 513, 6505, 5496, 910, 513, 590, 16810, 2207, 15382, 2752, 9143, 295, 24535, 256, 19196, 1243, 569, 267, 789, 13603, 621, 909, 543, 3323, 3695, 922, 9589, 2934, 780, 20755, 3240, 608, 13094, 267, 834, 32452, 256, 901, 2706, 16335, 666, 798, 5863, 1919, 256, 1284, 666, 1289, 938, 3885, 267, 1491, 5961, 267, 1265, 8846, 267, 543, 1256, 1404, 3756, 10590, 8861, 3773, 267, 834, 4517, 1413, 693, 782, 891, 3579, 6673, 303, 997, 725, 610, 1412, 4338, 4916, 9538, 1703, 616, 3283, 585, 2575, 267, 2835, 267, 543, 1945, 1572, 5841, 4987, 3010, 2026, 789, 8268, 811, 267, 789, 3357, 2066, 513, 30292, 813, 13324, 676, 8121, 2316, 293, 2975, 24361, 21850, 21822, 5456, 9970, 630, 9590, 1070, 799, 4847, 873, 547, 2307, 2055, 543, 1205, 8216, 4267, 269, 30985, 267, 15207, 4280, 267, 834, 3963, 568, 519, 6607, 4544, 8119, 1677, 741, 9983, 267, 519, 3642, 15527, 267, 834, 6546, 781, 1317, 540, 513, 2067, 7613, 1572, 14105, 548, 662, 22502, 269, 1879, 7943, 10301, 3047, 781, 5790, 267, 621, 2458, 1938, 609, 6675, 543, 6263, 5536, 267, 4929, 519, 1769, 547, 14649, 538, 1114, 8846, 269, 9791, 1769, 1085, 520, 1562, 811, 982, 824, 4778, 1813, 547, 922, 10156, 15423, 267, 1818, 519, 6607, 2408, 4544, 3010, 5445, 4797, 6998, 519, 3642, 1187, 543, 4277, 2055, 267, 9750, 741, 1702, 827, 519, 1158, 1472, 873, 269, 1717, 267, 10393, 267, 519, 6049, 678, 836, 256, 4762, 4310, 267, 789, 7691, 2576, 3116, 1522, 581, 10478, 585, 741, 11537, 2706, 16335, 269, 7464, 1944, 519, 2956, 540, 13059, 4503, 3688, 267, 789, 4956, 547, 4734, 513, 4063, 2059, 609, 519, 6049, 281, 834, 2414, 7247, 621, 949, 6161, 267, 5225, 1265, 707, 590, 16810, 2207, 15382, 2752, 9143, 295, 24535, 1394, 693, 519, 6288, 267, 9901, 543, 4712, 585, 707, 1985, 7045, 15323, 15987, 25922, 547, 851, 2081, 609, 741, 1007, 6602, 267, 789, 4121, 3407, 4245, 602, 1554, 1107, 827, 11505, 267, 7279, 267, 11587, 267, 543, 519, 6909, 1379, 540, 2413, 2029, 269, 4634, 1510, 519, 2706, 16335, 267, 15207, 543, 8861, 7283, 9599, 547, 2263, 2104, 3621, 2261, 12069, 1927, 267, 23362, 32261, 741, 1985, 24084, 2287, 7237, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 14881, 4823, 1518, 1614, 2487, 7760, 538, 2029, 602, 723, 3648, 12936, 938, 3232, 2729, 543, 4766, 875, 789, 4312, 2944, 865, 563, 272, 269, 12829, 10746, 281, 634, 4417, 540, 16389, 814, 19117, 519, 1259, 649, 5968, 267, 1569, 1344, 267, 543, 4383, 938, 3232, 2729, 269, 2060, 3532, 21932, 267, 1164, 18286, 4950, 14479, 267, 543, 513, 2647, 2039, 540, 3156, 267, 16389, 723, 1831, 606, 1898, 1907, 585, 1082, 1004, 1472, 519, 1158, 269, 1358, 1450, 721, 547, 3251, 4448, 609, 2828, 543, 1920, 267, 6330, 14542, 4025, 267, 1118, 16306, 267, 3950, 938, 1072, 543, 8516, 267, 543, 1256, 1852, 5100, 1753, 3457, 269, 3958, 267, 16389, 723, 849, 9927, 6080, 971, 607, 552, 19645, 267, 9913, 267, 543, 6283, 630, 324, 3052, 1421, 11878, 6879, 2130, 8924, 899, 772, 828, 6393, 273, 269, 14464, 11106, 630, 9590, 264, 543, 10724, 4804, 281, 3642, 543, 3684, 1565, 4066, 723, 1500, 1713, 7760, 538, 2487, 1296, 267, 18363, 1585, 3344, 540, 938, 3232, 2729, 269, 1452, 4066, 5512, 5904, 547, 1451, 689, 1239, 606, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 19410, 776, 267, 20514, 476, 6795, 278, 268, 2568, 279, 281, 519, 4555, 649, 1058, 5066, 2275, 718, 267, 3092, 269, 998, 7412, 476, 27151, 281, 700, 7035, 320, 563, 21296, 14893, 5999, 454, 272, 269, 2986, 519, 1739, 267, 1018, 798, 3627, 1744, 1228, 543, 519, 18272, 514, 723, 538, 1455, 888, 5416, 264, 1358, 941, 1312, 4535, 538, 6576, 563, 6357, 264, 1358, 941, 1312, 2098, 655, 4565, 534, 15438, 563, 6262, 264, 1358, 1312, 941, 29152, 539, 563, 5560, 264, 1358, 1312, 1185, 31225, 338, 945, 941, 2322, 538, 606, 28357, 563, 273, 269, 1548, 1705, 8176, 20943, 321, 1774, 798, 609, 519, 3032, 888, 5416, 264, 1261, 5795, 621, 547, 519, 30823, 563, 6357, 264, 1261, 5206, 513, 6648, 827, 621, 563, 6262, 264, 1261, 5795, 621, 547, 3627, 1744, 1228, 607, 513, 14512, 10516, 563, 5560, 264, 1261, 18417, 8914, 539, 621, 563, 274, 269, 20943, 321, 1774, 22281, 338, 513, 3802, 609, 3627, 1744, 1228, 269, 2201, 713, 3802, 20943, 321, 1774, 5667, 15471, 2685, 13290, 547, 533, 787, 689, 1744, 1228, 1344, 827, 799, 540, 519, 1739, 3584, 888, 5416, 264, 1744, 1228, 781, 6648, 563, 6357, 264, 1744, 1228, 781, 8250, 563, 5560, 264, 12518, 543, 2831, 563, 275, 269, 2201, 1018, 1554, 1705, 3627, 1744, 1228, 2253, 21882, 1010, 6648, 834, 303, 1446, 9605, 24350, 5416, 264, 1284, 616, 711, 5143, 12799, 267, 1152, 602, 621, 568, 1282, 519, 4832, 563, 6357, 264, 5147, 476, 276, 628, 563, 6262, 264, 5147, 476, 275, 628, 563, 5560, 264, 5147, 476, 272, 560, 563, 276, 269, 1548, 1281, 20943, 321, 1774, 1616, 721, 547, 3494, 729, 519, 18463, 585, 3627, 1744, 1228, 781, 3903, 547, 1305, 834, 303, 1446, 9605, 257, 1282, 519, 5162, 3275, 888, 5416, 264, 634, 2098, 655, 4565, 534, 3751, 781, 1028, 553, 1588, 538, 5130, 563, 6357, 264, 634, 1390, 13357, 1744, 1228, 814, 4810, 1282, 5162, 563, 6262, 264, 16819, 10760, 5045, 585, 519, 5162, 563, 5560, 264, 1744, 1228, 5870, 20943, 321, 1774, 1282, 519, 3105, 5162, 563, 14112, 8382, 5999, 454, 272, 269, 3627, 1744, 1228, 3081, 267, 834, 2467, 781, 4986, 4636, 609, 17766, 513, 771, 7356, 2250, 547, 12990, 24886, 13322, 318, 24350, 273, 269, 5808, 1281, 3627, 1744, 1228, 2232, 538, 1899, 476, 26727, 799, 7475, 834, 1862, 3240, 15210, 4840, 274, 269, 3627, 1744, 1228, 973, 2572, 1010, 6965, 547, 835, 1268, 1991, 547, 922, 8313, 269, 5808, 568, 602, 1268, 888, 275, 269, 27240, 639, 11564, 744, 1873, 514, 645, 4958, 342, 527, 538, 1931, 547, 1265, 1344, 593, 3751, 8176, 262, 4087, 269, 1548, 568, 744, 1873, 514, 645, 4958, 342, 527, 781, 3924, 888, 276, 269, 5808, 568, 519, 3105, 9468, 656, 540, 8176, 20943, 321, 1774, 781, 2777, 888, 1607, 3296, 3568, 476, 30640, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 646, 2450, 540, 513, 11176, 630, 338, 665, 1356, 264, 2361, 568, 827, 1911, 15432, 1279, 543, 476, 2568, 15432, 2647, 267, 8117, 538, 4013, 3756, 972, 616, 6042, 827, 519, 5934, 543, 5021, 10155, 269, 769, 519, 1158, 11176, 519, 1034, 4013, 7516, 616, 1346, 602, 1185, 1044, 632, 857, 539, 676, 674, 9281, 288, 630, 763, 674, 323, 1674, 4139, 324, 632, 25624, 5948, 1916, 10144, 849, 2307, 454, 1692, 1279, 568, 476, 272, 25451, 538, 11176, 4610, 888, 763, 16038, 3490, 1770, 585, 3259, 568, 519, 25451, 269, 476, 272, 25451, 568, 3160, 547, 476, 272, 7397, 267, 610, 476, 271, 269, 18089, 280, 3607, 15171, 7176, 274, 4391, 278, 11176, 2361, 1496, 308, 2529, 269, 4940, 8074, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 269, 2422, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 15432, 543, 11176, 4610, 269, 7392, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 1692, 1082, 4009, 7397, 568, 513, 13558, 2361, 888, 1692, 547, 6460, 17502, 1356, 29425, 547, 12384, 631, 4394, 630, 338, 665, 1356, 2361, 547, 544, 273, 267, 13483, 544, 21663, 476, 272, 13558, 2361, 815, 476, 278, 1691, 271, 544, 273, 267, 13483, 544, 269, 476, 272, 1535, 476, 278, 1691, 271, 544, 273, 267, 13483, 544, 815, 476, 278, 1691, 271, 12384, 631, 4394, 269, 11408, 2638, 519, 2164, 282, 24263, 6959, 949, 2049, 563, 6701, 782, 11176, 4610, 519, 1482, 2450, 888, 5649, 593, 547, 1265, 856, 269, 4400, 1153, 267, 2852, 543, 715, 14566, 11176, 4610, 616, 519, 1482, 2450, 269, 589, 3044, 11176, 2361, 568, 476, 6344, 18126, 1279, 269, 634, 4730, 2361, 568, 476, 1911, 18126, 630, 4968, 3952, 264, 1279, 267, 543, 1142, 1439, 7997, 568, 476, 1015, 18126, 630, 1789, 3952, 264, 2620, 269, 634, 2361, 814, 513, 7833, 8700, 540, 476, 7871, 476, 272, 270, 274, 18126, 630, 8182, 3952, 1916, 1692, 2620, 568, 519, 2361, 538, 513, 11176, 3014, 888, 17780, 593, 18126, 267, 519, 2361, 540, 1404, 538, 513, 3014, 540, 11176, 4016, 547, 519, 476, 1911, 18126, 1063, 519, 1079, 15852, 1439, 10851, 593, 2901, 2427, 540, 519, 2361, 693, 476, 1015, 18126, 1923, 630, 1789, 421, 486, 354, 286, 347, 476, 280, 269, 1428, 544, 264, 2620, 269, 6519, 24795, 1374, 622, 1142, 1367, 13452, 593, 519, 2361, 543, 616, 9674, 676, 2407, 2361, 3515, 1169, 4557, 18126, 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 ]
[ 0, 1103, 519, 2136, 8003, 267, 15518, 730, 9086, 568, 9086, 610, 1876, 3267, 1323, 11352, 568, 454, 534, 3635, 540, 10324, 7060, 267, 585, 1383, 547, 1711, 610, 23271, 513, 1857, 1560, 563, 8333, 775, 618, 2107, 10249, 616, 1031, 547, 4429, 763, 15518, 730, 7060, 11292, 547, 519, 5313, 2229, 676, 519, 2136, 2276, 454, 17746, 3191, 616, 679, 10179, 730, 7060, 267, 22466, 7060, 543, 7915, 7060, 563, 763, 9139, 3947, 1614, 2010, 540, 1379, 547, 519, 3084, 2229, 281, 476, 272, 269, 3267, 769, 782, 454, 267, 519, 9139, 30896, 476, 2767, 7060, 4481, 547, 519, 5313, 2229, 269, 476, 273, 563, 763, 3265, 619, 3177, 585, 2947, 1114, 2010, 540, 7060, 538, 519, 772, 2529, 269, 9139, 269, 4429, 5719, 5586, 730, 7060, 616, 1346, 4481, 8655, 547, 519, 3084, 2229, 563, 4178, 19544, 2089, 665, 25283, 3820, 10774, 727, 1740, 25298, 12458, 8434, 8566, 17922, 12458, 8434, 8549, 1143, 318, 20225, 9653, 540, 2817, 543, 3557, 22749, 11258, 454, 2467, 616, 1614, 2010, 540, 15518, 730, 7060, 281, 679, 10179, 730, 7060, 267, 22466, 7060, 2676, 1862, 769, 6254, 7060, 267, 4352, 711, 2769, 569, 15518, 730, 676, 519, 9139, 267, 616, 4429, 5719, 5586, 730, 7060, 616, 7060, 602, 616, 2016, 547, 519, 3084, 2229, 538, 3267, 769, 454, 1492, 3167, 10626, 2872, 267, 972, 616, 1614, 1292, 2010, 540, 1379, 2371, 267, 4429, 19878, 476, 1428, 267, 476, 1001, 277, 3267, 634, 1546, 5586, 730, 25024, 267, 849, 1572, 519, 2037, 10179, 730, 25024, 267, 616, 519, 7060, 540, 454, 17812, 816, 3964, 538, 3296, 5216, 540, 9137, 594, 540, 519, 2475, 4429, 21801, 476, 273, 267, 476, 1001, 276, 3267, 1215, 798, 649, 917, 1018, 519, 2229, 666, 910, 543, 666, 1405, 910, 798, 286, 634, 15518, 730, 454, 335, 10183, 540, 519, 5313, 2229, 616, 1346, 4481, 4330, 4429, 7476, 1344, 267, 5013, 267, 543, 5961, 827, 1546, 5586, 566, 540, 25024, 693, 15610, 563, 1260, 269, 5269, 1382, 3267, 8422, 2010, 540, 15518, 566, 666, 581, 4857, 269, 634, 1101, 4429, 13971, 476, 277, 267, 476, 1001, 273, 3267, 5192, 606, 2626, 585, 1412, 1432, 616, 930, 1806, 540, 7060, 15518, 730, 547, 519, 3267, 1924, 267, 519, 454, 11398, 532, 18971, 14719, 730, 602, 824, 5686, 540, 7060, 3267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18329, 19933, 8535, 630, 3633, 300, 264, 29382, 338, 262, 22547, 547, 674, 877, 692, 296, 269, 4985, 692, 763, 4720, 540, 2575, 814, 1044, 6825, 676, 3875, 10593, 538, 9135, 267, 2511, 267, 543, 2029, 269, 7324, 891, 14759, 568, 519, 4473, 540, 18329, 19933, 8535, 630, 3633, 300, 264, 543, 922, 3056, 5515, 910, 519, 29382, 338, 945, 723, 26970, 9458, 5001, 269, 901, 3184, 12538, 883, 519, 4241, 3460, 540, 11581, 300, 29382, 338, 262, 11944, 607, 9565, 5716, 538, 519, 4207, 2575, 6429, 267, 5373, 2390, 2013, 2090, 971, 607, 1401, 17800, 267, 4787, 22567, 2716, 267, 16458, 332, 879, 276, 267, 543, 667, 10762, 623, 6064, 269, 1284, 786, 2263, 875, 6639, 7760, 267, 2686, 2242, 267, 543, 7499, 5647, 18595, 710, 547, 4412, 601, 11581, 300, 29382, 338, 547, 13778, 2157, 540, 21239, 543, 3310, 780, 2862, 269, 25895, 21992, 906, 23556, 532, 11581, 300, 13870, 692, 288, 269, 7913, 23866, 4518, 560, 725, 630, 6395, 310, 338, 2020, 4263, 519, 2295, 540, 11581, 300, 2504, 6013, 7913, 23866, 4518, 560, 725, 630, 6395, 310, 338, 1040, 1452, 3301, 3156, 5512, 12372, 547, 17492, 267, 2594, 267, 12575, 267, 543, 3132, 8301, 6119, 25274, 269, 1635, 3246, 10333, 267, 26622, 267, 543, 17545, 267, 21096, 310, 338, 7668, 14971, 12696, 547, 11349, 741, 4739, 1510, 8506, 8101, 2883, 5092, 610, 6101, 2866, 269, 9182, 267, 713, 24339, 26494, 540, 2575, 5137, 19658, 519, 18735, 540, 1007, 4992, 267, 2553, 267, 543, 6163, 602, 1131, 1831, 10689, 12201, 540, 11581, 300, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4322, 5159, 1765, 307, 344, 2401, 267, 634, 29763, 267, 1401, 17800, 267, 16265, 16361, 267, 5450, 549, 4425, 7631, 267, 20121, 5797, 700, 821, 569, 267, 918, 525, 6062, 1765, 732, 12021, 5515, 538, 519, 2575, 2872, 1634, 585, 741, 11108, 1983, 607, 1312, 12696, 543, 29382, 338, 269, 3962, 540, 873, 6770, 513, 2189, 2511, 543, 3280, 547, 519, 3349, 267, 23695, 547, 1585, 11964, 543, 7574, 7375, 267, 1818, 873, 513, 10508, 585, 2575, 12439, 2066, 519, 8608, 563, 307, 344, 2401, 267, 634, 29763, 912, 288, 15491, 7376, 1634, 585, 1010, 5876, 267, 14977, 2401, 267, 634, 29763, 267, 25186, 519, 6302, 540, 2757, 22850, 543, 12048, 31022, 2575, 269, 3502, 1152, 6444, 585, 1010, 8903, 543, 2219, 4538, 18405, 267, 855, 646, 779, 849, 28601, 585, 1010, 23258, 538, 2575, 2504, 267, 13167, 20054, 602, 11100, 1585, 7506, 547, 1711, 513, 3982, 543, 5499, 3280, 563, 288, 5230, 7076, 538, 519, 7706, 540, 5907, 7544, 2575, 630, 3633, 300, 1070, 1401, 17800, 568, 24190, 609, 19796, 21163, 543, 18369, 2575, 269, 11412, 21077, 585, 1010, 2247, 1532, 2056, 2661, 12644, 543, 3618, 1606, 1002, 18146, 12772, 267, 1010, 2504, 1983, 1711, 606, 18546, 4328, 5790, 267, 15980, 1864, 513, 546, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16978, 3055, 19933, 8535, 630, 3633, 300, 264, 29382, 338, 262, 22547, 547, 674, 877, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 8535, 2668, 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, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 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, 267, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27016, 30231, 4303, 4371, 1142, 1032, 593, 5988, 476, 277, 568, 519, 3084, 1554, 540, 1715, 10215, 607, 513, 14097, 15747, 538, 519, 2197, 781, 1686, 729, 9896, 693, 602, 1747, 538, 476, 7277, 271, 269, 634, 2012, 1412, 310, 7159, 30231, 262, 1797, 1412, 933, 9429, 7297, 262, 538, 799, 1893, 888, 12585, 281, 631, 5953, 9461, 454, 2704, 328, 1162, 281, 631, 7564, 9461, 267, 631, 5889, 9461, 267, 8575, 9461, 267, 631, 5953, 9461, 267, 631, 5953, 9461, 630, 4134, 3711, 580, 6672, 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 ]
[ 0, 300, 870, 7763, 3120, 340, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 300, 339, 7763, 3120, 340, 454, 300, 870, 7763, 3120, 340, 267, 8235, 2494, 777, 14873, 454, 347, 292, 4582, 566, 1475, 272, 267, 5392, 278, 544, 630, 275, 267, 26605, 10264, 10245, 19064, 668, 29561, 1475, 21497, 544, 630, 3583, 276, 10264, 10245, 347, 19613, 1475, 21026, 6816, 267, 1715, 10215, 2008, 347, 5575, 607, 1417, 1475, 297, 2836, 1457, 2008, 347, 292, 553, 5006, 8905, 1475, 289, 5390, 2193, 1975, 584, 20417, 2008, 300, 870, 7763, 3120, 340, 568, 513, 7823, 693, 4463, 476, 272, 267, 5392, 278, 544, 267, 8375, 5045, 7178, 540, 519, 16593, 14022, 540, 8235, 2494, 777, 14873, 543, 5693, 7298, 689, 2494, 777, 14873, 10034, 1222, 269, 8074, 281, 5440, 4919, 4786, 595, 4510, 267, 28865, 15142, 267, 16998, 476, 21172, 271, 4817, 271, 292, 476, 276, 5392, 16020, 271, 301, 269, 3502, 3957, 593, 4013, 11837, 840, 476, 1015, 2904, 476, 1220, 272, 563, 763, 2012, 7763, 3120, 340, 729, 8385, 519, 8575, 9461, 2012, 585, 519, 4832, 8498, 540, 1018, 568, 1631, 1634, 607, 2494, 777, 14873, 269, 898, 568, 849, 519, 2012, 540, 513, 15805, 6077, 593, 8235, 2494, 777, 14873, 607, 1134, 607, 513, 554, 583, 593, 519, 3223, 16980, 25397, 543, 729, 1767, 547, 581, 606, 4587, 2012, 585, 8235, 2494, 777, 14873, 3294, 563, 300, 870, 7763, 3120, 340, 12700, 585, 8866, 269, 918, 1497, 15610, 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 ]
[ 0, 290, 1328, 692, 258, 9046, 476, 14596, 269, 1548, 568, 519, 3845, 689, 1448, 623, 3287, 11971, 264, 547, 519, 1899, 16547, 1341, 1635, 1341, 595, 815, 476, 271, 2496, 11405, 476, 3192, 4649, 272, 692, 8138, 4784, 593, 476, 2764, 3967, 476, 1001, 274, 676, 589, 675, 331, 1329, 6581, 742, 584, 755, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 2162, 4530, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 10426, 454, 260, 260, 1449, 476, 272, 1535, 284, 273, 282, 586, 284, 273, 282, 589, 284, 273, 282, 645, 284, 273, 282, 595, 15871, 275, 282, 586, 6831, 8091, 815, 476, 272, 269, 29300, 273, 282, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 27045, 272, 324, 268, 275, 2020, 323, 815, 476, 275, 546, 815, 476, 272, 269, 29300, 273, 692, 273, 5231, 10426, 454, 260, 260, 1449, 476, 273, 1535, 284, 274, 282, 586, 284, 275, 282, 589, 284, 274, 282, 645, 284, 275, 282, 595, 284, 276, 282, 586, 6831, 8091, 815, 476, 277, 282, 7682, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 2525, 271, 2020, 323, 815, 476, 277, 692, 274, 5231, 10426, 454, 260, 260, 1449, 476, 274, 1535, 284, 275, 282, 586, 284, 276, 282, 589, 284, 274, 282, 645, 284, 275, 282, 595, 284, 276, 282, 586, 6831, 8091, 815, 476, 278, 269, 275, 282, 4159, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 4297, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 283, 272, 324, 268, 272, 2020, 323, 815, 476, 278, 269, 6110, 271, 20735, 815, 476, 278, 269, 6110, 271, 546, 815, 476, 278, 269, 6110, 271, 692, 275, 5231, 10426, 454, 260, 260, 1449, 476, 275, 1535, 284, 271, 282, 344, 284, 11277, 3393, 282, 288, 284, 271, 282, 289, 284, 272, 282, 290, 284, 271, 282, 586, 6831, 8091, 815, 476, 11277, 3393, 282, 4159, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 4297, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 2525, 271, 2020, 323, 815, 476, 11277, 3393, 20735, 815, 476, 11277, 3393, 546, 815, 476, 11277, 3393, 692, 276, 5231, 10426, 454, 260, 260, 1449, 476, 276, 1535, 284, 271, 282, 344, 15871, 11277, 3393, 282, 288, 284, 271, 282, 289, 284, 272, 282, 290, 284, 271, 282, 586, 6831, 8091, 815, 476, 11277, 3393, 282, 4159, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 4297, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 2525, 271, 2020, 323, 815, 476, 11277, 3393, 20735, 815, 476, 11277, 3393, 546, 815, 476, 11277, 3393, 692, 2162, 7991, 7066, 5501, 15391, 692, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 2439, 9359, 15391, 532, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18851, 1477, 9223, 1477, 11693, 1079, 15044, 14249, 267, 971, 602, 519, 14249, 949, 723, 930, 1455, 2609, 269, 4855, 519, 2040, 540, 519, 5021, 2040, 2619, 547, 3914, 689, 519, 4098, 540, 1022, 5044, 547, 1439, 540, 1022, 540, 519, 1079, 14249, 269, 1284, 666, 6467, 689, 835, 5044, 547, 1776, 5044, 1152, 693, 1455, 2609, 269, 5897, 19152, 6609, 1477, 5575, 1899, 814, 3259, 540, 1079, 2855, 1477, 13553, 1899, 814, 2855, 272, 1477, 23612, 1899, 814, 2855, 273, 1477, 20479, 6609, 1477, 2745, 519, 2040, 1477, 15008, 1477, 19152, 281, 818, 272, 26514, 815, 2715, 273, 267, 476, 274, 267, 476, 278, 267, 476, 1015, 267, 476, 1321, 348, 1477, 11434, 818, 273, 26514, 815, 2715, 272, 267, 476, 276, 267, 476, 278, 267, 476, 279, 348, 1477, 20479, 281, 476, 3374, 5897, 15008, 281, 476, 3374, 568, 2040, 540, 476, 272, 1341, 476, 276, 1341, 476, 278, 1341, 476, 1015, 1341, 476, 1321, 23228, 2171, 1376, 689, 519, 1101, 3693, 540, 2855, 273, 799, 568, 476, 272, 267, 1287, 649, 1477, 332, 913, 547, 476, 276, 267, 1287, 476, 278, 269, 476, 3245, 476, 278, 267, 649, 6467, 547, 818, 272, 630, 553, 476, 278, 568, 1455, 3418, 663, 29906, 476, 1015, 543, 476, 1321, 269, 5897, 19152, 1477, 273, 476, 273, 1477, 272, 476, 273, 476, 274, 1477, 272, 476, 273, 476, 274, 1477, 20479, 1477, 277, 5897, 19152, 1477, 276, 476, 275, 1477, 275, 476, 274, 476, 273, 476, 277, 476, 278, 1477, 274, 476, 273, 476, 275, 476, 276, 1477, 20479, 1477, 2767, 5897, 19152, 1477, 272, 476, 273, 1477, 272, 1477, 272, 476, 273, 1477, 20479, 1477, 274, 5897, 295, 842, 1477, 1607, 3322, 12719, 519, 2040, 540, 2609, 1063, 782, 1455, 2798, 540, 1312, 14249, 269, 24269, 972, 568, 513, 1455, 1448, 267, 5635, 519, 1079, 18304, 543, 1039, 519, 5021, 540, 1079, 547, 519, 1267, 23228, 11405, 281, 18851, 1477, 3698, 3193, 26073, 11764, 263, 541, 272, 267, 541, 273, 2073, 544, 2073, 562, 2567, 567, 1477, 453, 328, 267, 795, 815, 476, 271, 267, 476, 271, 21506, 453, 14310, 267, 2040, 272, 267, 2040, 273, 284, 476, 271, 267, 476, 271, 267, 476, 271, 21506, 453, 6112, 630, 328, 2999, 544, 543, 795, 2999, 562, 2567, 21506, 453, 14851, 818, 272, 5157, 316, 2999, 818, 273, 14728, 13912, 21506, 4848, 453, 8999, 272, 6834, 818, 272, 5157, 316, 21506, 4848, 453, 328, 23785, 272, 21506, 453, 453, 19197, 818, 272, 5157, 316, 3436, 818, 273, 14728, 13912, 21506, 4848, 453, 8999, 273, 6834, 818, 273, 14728, 316, 21506, 4848, 453, 329, 23785, 272, 1477, 4848, 1477, 453, 28432, 281, 21506, 4848, 453, 14310, 23785, 3193, 4433, 636, 272, 267, 8999, 273, 3418, 4848, 453, 8999, 272, 267, 2040, 273, 815, 476, 271, 267, 476, 271, 1477, 4848, 453, 6112, 630, 328, 2999, 544, 543, 795, 2999, 562, 543, 818, 272, 5157, 316, 2525, 541, 273, 14728, 316, 2567, 21506, 15235, 453, 14310, 6834, 818, 272, 5157, 316, 21506, 15235, 453, 328, 23785, 272, 1477, 15235, 453, 329, 23785, 272, 1477, 453, 6112, 1775, 2999, 544, 281, 21506, 453, 453, 8999, 272, 6834, 818, 272, 5157, 316, 21506, 453, 453, 328, 23785, 272, 1477, 453, 6112, 795, 2999, 562, 281, 21506, 453, 453, 8999, 273, 6834, 818, 273, 14728, 316, 21506, 453, 453, 329, 23785, 272, 1477, 453, 14310, 6834, 3193, 4433, 636, 272, 267, 8999, 273, 264, 21506, 453, 1477, 16596, 1267, 1477, 301, 267, 300, 284, 14090, 17301, 267, 6358, 14061, 20889, 3890, 3418, 541, 272, 815, 1592, 9852, 777, 17301, 267, 6358, 14061, 20889, 3890, 4297, 21506, 541, 273, 815, 1592, 9852, 777, 17301, 267, 6358, 14061, 20889, 3890, 17903, 332, 815, 7003, 263, 541, 272, 264, 21506, 333, 815, 7003, 263, 541, 273, 264, 21506, 2745, 32384, 26073, 11764, 263, 541, 272, 267, 818, 273, 267, 544, 267, 562, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 280, 281, 6657, 15051, 26659, 538, 6481, 6657, 5004, 1299, 1234, 12494, 9309, 618, 692, 296, 269, 4985, 692, 1103, 2221, 781, 1950, 3782, 1604, 267, 2564, 2853, 616, 896, 2810, 2604, 547, 5838, 1164, 7779, 1416, 1247, 5883, 3790, 267, 5355, 4398, 267, 543, 4509, 9431, 10220, 269, 1677, 3035, 891, 3853, 267, 2259, 4238, 11938, 814, 1831, 513, 2565, 5057, 540, 3811, 2564, 2259, 2359, 269, 901, 3184, 786, 2263, 1883, 2994, 543, 1655, 2853, 602, 666, 948, 11126, 707, 2259, 4238, 267, 3056, 547, 4824, 3461, 4093, 267, 2799, 8907, 267, 8476, 7607, 267, 543, 4389, 11889, 11411, 269, 1284, 786, 1445, 593, 2185, 1292, 2127, 281, 30855, 2657, 6176, 5303, 267, 20074, 10866, 26094, 15789, 267, 20837, 23164, 28521, 18888, 5004, 267, 543, 674, 29183, 16200, 853, 820, 14516, 17716, 780, 2862, 269, 30855, 2657, 6176, 5303, 630, 295, 3951, 2020, 288, 269, 18329, 2657, 19475, 630, 292, 16281, 338, 2020, 272, 269, 11588, 540, 7598, 661, 16281, 1949, 912, 453, 265, 24046, 4791, 3375, 1489, 454, 453, 265, 20865, 6646, 3106, 998, 5907, 1095, 21564, 454, 453, 265, 16842, 10333, 543, 1850, 2225, 540, 2550, 262, 5638, 454, 453, 265, 11120, 4106, 730, 11558, 1063, 7426, 454, 453, 265, 8081, 585, 2551, 1072, 2359, 7341, 454, 273, 269, 12694, 543, 1761, 3435, 912, 453, 265, 11038, 7496, 281, 16418, 856, 2883, 15314, 971, 607, 12791, 995, 2422, 267, 26914, 6938, 267, 543, 824, 2229, 3292, 269, 3958, 267, 2015, 6531, 2861, 20478, 3631, 799, 3335, 723, 2539, 909, 12506, 3790, 3379, 547, 2757, 7746, 2861, 30582, 563, 453, 265, 3038, 3187, 4187, 281, 17372, 4145, 827, 20104, 21463, 676, 5473, 1439, 268, 22852, 538, 1062, 1374, 543, 3246, 7347, 2866, 2200, 269, 22716, 1125, 1279, 3856, 2640, 543, 1761, 1942, 9806, 563, 453, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 314, 1607, 3690, 5296, 568, 1133, 539, 1243, 2639, 13233, 9730, 593, 966, 1388, 543, 2657, 10803, 454, 9288, 7566, 540, 4518, 20492, 593, 912, 2793, 3582, 3201, 31178, 5442, 19489, 7246, 3582, 5442, 15709, 3008, 15045, 308, 6311, 13543, 454, 4047, 22483, 5254, 288, 2316, 306, 23154, 11123, 5990, 476, 2641, 4306, 595, 7728, 7838, 312, 454, 19751, 476, 1789, 267, 476, 1220, 271, 454, 16020, 590, 13616, 9335, 454, 26596, 12770, 267, 4993, 454, 9083, 4905, 10557, 23681, 267, 2672, 924, 476, 8182, 454, 293, 1515, 325, 1314, 267, 9098, 476, 13136, 1789, 454, 307, 21764, 5508, 28132, 19006, 454, 268, 11910, 547, 11352, 543, 13823, 2388, 910, 3220, 269, 700, 2794, 7219, 454, 268, 11137, 540, 3955, 574, 7797, 267, 834, 307, 578, 731, 513, 2817, 2657, 6176, 24486, 910, 3220, 269, 17054, 2006, 454, 268, 19937, 476, 272, 454, 268, 8834, 4236, 18255, 267, 11022, 267, 12463, 295, 454, 268, 32149, 8493, 1676, 267, 12854, 454, 268, 4563, 5112, 5664, 2023, 267, 11022, 267, 12463, 295, 454, 268, 19937, 476, 273, 454, 268, 24697, 681, 269, 28818, 267, 11022, 267, 12463, 295, 454, 268, 6307, 595, 664, 267, 12463, 295, 454, 268, 27692, 3026, 340, 3873, 12528, 267, 3220, 15771, 454, 268, 11137, 540, 3955, 574, 7797, 267, 834, 4537, 12686, 513, 17496, 585, 476, 2641, 560, 11416, 2657, 10803, 257, 910, 3220, 269, 17054, 2006, 454, 268, 19937, 476, 274, 910, 3557, 543, 10871, 267, 5398, 543, 17721, 454, 268, 7812, 14339, 6929, 454, 268, 6424, 1924, 2280, 267, 12854, 454, 268, 661, 269, 9400, 9466, 267, 12854, 454, 268, 19937, 476, 275, 910, 3557, 543, 10871, 267, 5398, 543, 17721, 630, 4186, 8094, 268, 2441, 2088, 5975, 17850, 267, 12854, 267, 12463, 295, 267, 32233, 454, 268, 918, 4331, 15966, 3530, 9445, 267, 29172, 267, 10790, 454, 268, 22189, 661, 269, 12197, 532, 267, 11022, 267, 12463, 295, 267, 32233, 454, 268, 10395, 1441, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20797, 15051, 26659, 257, 607, 851, 540, 834, 25503, 1315, 6657, 5004, 1299, 1234, 12494, 9309, 618, 2668, 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, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 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, 267, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 25141, 6361, 268, 3519, 1597, 1466, 12267, 538, 11470, 454, 22706, 5426, 281, 5664, 3427, 454, 32098, 9351, 281, 16337, 1315, 4168, 1315, 23620, 1315, 4937, 692, 8893, 11137, 912, 1103, 713, 3992, 267, 649, 786, 2263, 519, 1523, 540, 7365, 6361, 8410, 1597, 1466, 2984, 1369, 519, 9135, 540, 5708, 267, 4481, 2519, 593, 4168, 15832, 9089, 269, 1452, 2984, 31721, 1472, 1079, 3197, 945, 4283, 883, 513, 7365, 6876, 585, 4052, 4128, 2864, 982, 2648, 269, 1717, 267, 607, 789, 6330, 998, 741, 1007, 1272, 1927, 267, 789, 3605, 6397, 4606, 543, 1020, 513, 4514, 4276, 269, 1635, 6313, 1585, 1806, 267, 596, 786, 1174, 1946, 891, 2984, 723, 26970, 3988, 2429, 1686, 543, 3136, 547, 2611, 2442, 2221, 780, 4089, 476, 272, 281, 4197, 25141, 6361, 268, 3519, 1597, 1466, 12267, 454, 5970, 596, 2479, 4862, 519, 8360, 834, 641, 1842, 2572, 4482, 22172, 2334, 2856, 1419, 3029, 519, 4493, 540, 1082, 14070, 32741, 1141, 1079, 1004, 2887, 538, 2648, 5103, 741, 3604, 269, 1809, 972, 781, 1776, 1826, 540, 11509, 1650, 602, 1522, 3100, 8966, 693, 1101, 16145, 910, 519, 7365, 6361, 8410, 1597, 1466, 9661, 2439, 288, 7365, 540, 13418, 568, 950, 1079, 2043, 6430, 547, 19533, 1142, 824, 5097, 585, 1514, 267, 2883, 267, 610, 2797, 2744, 3079, 540, 7525, 15754, 610, 6612, 269, 10705, 267, 891, 15185, 2097, 689, 1114, 10080, 267, 4865, 20849, 14789, 267, 610, 2671, 2370, 1455, 2666, 269, 11048, 267, 789, 3858, 547, 17063, 519, 24516, 1813, 547, 5007, 12503, 610, 6381, 269, 1306, 942, 10596, 267, 789, 7930, 1451, 811, 827, 835, 1776, 267, 3056, 873, 547, 2243, 952, 741, 3355, 11460, 729, 8806, 10375, 610, 1945, 1454, 811, 7096, 780, 4089, 476, 273, 281, 10289, 4168, 25141, 6361, 268, 3519, 1597, 1466, 26358, 454, 22146, 5708, 814, 1279, 1044, 1634, 585, 922, 10575, 14823, 6835, 267, 2178, 5837, 2418, 267, 543, 11121, 6386, 269, 1879, 5916, 609, 519, 10578, 23350, 540, 513, 7365, 540, 13418, 267, 971, 2984, 2709, 2189, 4030, 883, 3347, 267, 5132, 267, 543, 1582, 22523, 780, 2690, 1383, 267, 2015, 519, 3209, 834, 763, 717, 1478, 1145, 540, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 320, 14951, 2389, 17311, 540, 3332, 454, 30036, 5501, 1336, 6456, 609, 1100, 2963, 540, 9562, 454, 21270, 4629, 310, 10345, 519, 3135, 585, 824, 1568, 676, 713, 2278, 454, 263, 663, 938, 824, 4589, 264, 610, 1205, 670, 5085, 303, 7335, 267, 8281, 532, 543, 20593, 1154, 6119, 994, 10345, 24086, 519, 3003, 3135, 609, 5616, 13505, 9612, 454, 17138, 281, 634, 8466, 715, 2074, 262, 30007, 630, 274, 6113, 10022, 264, 8191, 281, 681, 2378, 6130, 17939, 520, 7236, 2608, 589, 5741, 717, 9790, 6199, 5245, 26496, 2608, 26496, 3143, 12727, 476, 9610, 14338, 272, 327, 11258, 5678, 281, 2296, 11261, 1101, 11540, 281, 4728, 476, 1001, 275, 11261, 1034, 5063, 8242, 281, 4728, 476, 1001, 275, 21277, 1027, 676, 281, 2051, 514, 932, 13331, 5741, 717, 9790, 6199, 540, 5245, 552, 20486, 616, 2813, 689, 9102, 21820, 799, 616, 538, 519, 1857, 6389, 538, 5245, 267, 8259, 513, 10677, 5469, 568, 3769, 269, 1284, 798, 10691, 1832, 1022, 552, 20486, 538, 10220, 609, 513, 1880, 1957, 7160, 269, 14645, 4031, 616, 4657, 782, 936, 519, 1158, 269, 2142, 2386, 547, 2638, 519, 10677, 4031, 585, 707, 2197, 1354, 23842, 610, 23799, 1026, 5024, 713, 3758, 269, 901, 26496, 568, 1500, 2139, 693, 1100, 1942, 543, 609, 3592, 1100, 9993, 31049, 269, 1411, 949, 5299, 621, 267, 2285, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11321, 5846, 6361, 268, 3519, 1597, 1466, 12267, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 23620, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 3445, 4113, 2490, 683, 328, 24383, 669, 327, 3511, 15854, 692, 29173, 19790, 1990, 11672, 476, 272, 1384, 291, 574, 5014, 669, 340, 1984, 9014, 268, 1695, 13545, 17427, 986, 3369, 692, 327, 11921, 3534, 7254, 1990, 1177, 978, 962, 454, 327, 11921, 3534, 694, 328, 1990, 1177, 978, 2473, 454, 299, 9554, 1990, 879, 1990, 1177, 978, 513, 562, 328, 661, 454, 3721, 1990, 1177, 978, 1990, 1177, 978, 595, 454, 25583, 554, 20692, 2967, 22917, 1990, 1177, 330, 623, 454, 3721, 11098, 513, 562, 328, 2098, 454, 3721, 27205, 693, 18553, 986, 1233, 669, 16852, 752, 630, 2889, 13700, 4288, 264, 513, 1659, 332, 674, 692, 1012, 12414, 476, 3445, 683, 328, 24383, 669, 327, 3511, 15854, 4113, 692, 291, 574, 3290, 544, 600, 1177, 327, 751, 669, 340, 13545, 331, 836, 986, 3369, 1984, 9014, 268, 1695, 513, 562, 328, 692, 311, 910, 24383, 2987, 513, 561, 340, 1695, 2881, 688, 1233, 3534, 694, 328, 1990, 1177, 978, 454, 312, 910, 669, 24849, 978, 737, 1002, 3534, 6989, 1377, 693, 18553, 669, 24849, 978, 554, 333, 8811, 3534, 6989, 1377, 555, 331, 1263, 320, 7254, 1990, 1177, 978, 454, 292, 910, 700, 9554, 1990, 879, 1990, 1177, 978, 513, 562, 328, 454, 293, 910, 3366, 613, 1900, 32162, 836, 32162, 836, 513, 1659, 332, 454, 313, 910, 5153, 11098, 513, 562, 328, 692, 290, 910, 1900, 1990, 1177, 978, 1990, 1177, 978, 1297, 454, 303, 910, 5153, 1659, 332, 1990, 520, 1341, 554, 22861, 692, 1805, 4202, 9100, 15854, 669, 327, 3511, 15854, 28624, 24383, 546, 532, 4594, 669, 327, 3511, 513, 328, 514, 513, 1207, 28216, 331, 752, 632, 7795, 554, 548, 330, 513, 562, 328, 563, 1805, 4202, 1659, 3149, 600, 3534, 669, 327, 3511, 15854, 669, 340, 1900, 694, 328, 1990, 1177, 978, 693, 18553, 4542, 554, 332, 18553, 669, 327, 583, 513, 562, 328, 563, 300, 8811, 2590, 1183, 4050, 694, 328, 1990, 1177, 978, 28624, 4699, 476, 2568, 693, 18553, 476, 5780, 13504, 541, 513, 562, 328, 513, 267, 513, 642, 2967, 514, 4699, 476, 8287, 513, 562, 328, 563, 1805, 1515, 13826, 8356, 600, 512, 752, 669, 340, 4542, 562, 523, 513, 538, 332, 559, 513, 562, 328, 281, 476, 273, 1900, 15627, 1341, 1900, 555, 4157, 512, 752, 513, 562, 328, 815, 476, 8287, 22144, 274, 4699, 780, 1805, 4202, 693, 18553, 513, 554, 333, 3554, 10874, 669, 340, 476, 1789, 4113, 693, 18553, 476, 2412, 4113, 555, 331, 1263, 513, 562, 328, 563, 1805, 4202, 1900, 555, 4157, 1990, 1177, 978, 669, 340, 32176, 16554, 1177, 330, 2450, 476, 3393, 910, 513, 512, 12661, 10874, 1695, 476, 2764, 268, 1789, 4699, 562, 523, 513, 538, 332, 559, 2881, 513, 562, 328, 563, 288, 555, 4157, 561, 2129, 3534, 669, 340, 1900, 693, 18553, 513, 986, 1233, 669, 16852, 752, 554, 1014, 513, 737, 21065, 519, 328, 513, 562, 328, 563, 3721, 7254, 1990, 1177, 978, 28624, 476, 736, 268, 1839, 4699, 555, 331, 1263, 513, 562, 328, 2881, 513, 562, 328, 780, 5522, 520, 845, 7254, 1990, 1177, 978, 30392, 327, 555, 331, 752, 3880, 331, 3133, 2881, 660, 762, 1659, 3149, 600, 3534, 669, 340, 1775, 27764, 519, 328, 536, 1177, 330, 780, 25284, 1889, 554, 1014, 7432, 24383, 8584, 5373, 14482, 669, 340, 2596, 5086, 682, 327, 10155, 14482, 562, 523, 513, 521, 3554, 2587, 563, 19352, 532, 268, 1695, 554, 1014, 24383, 14482, 10155, 1990, 1177, 978, 1990, 1177, 978, 513, 31423, 513, 267, 6367, 11415, 8584, 1900, 669, 2426, 4594, 267, 1900, 4893, 32162, 836, 32162, 836, 682, 327, 1900, 14482, 10155, 561, 1014, 10874, 10874, 974, 669, 340, 513, 669, 327, 514, 577, 327, 11672, 3534, 513, 562, 328, 780, 12041, 540, 519, 1788, 281, 667, 2466, 787, 11809, 527, 990 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 312, 1446, 4521, 3427, 454, 1103, 1455, 1876, 1949, 267, 16488, 949, 1118, 11006, 2013, 1876, 998, 30675, 267, 4352, 593, 8317, 713, 949, 581, 16765, 29354, 676, 513, 2362, 5480, 610, 519, 23328, 269, 25214, 267, 3909, 1876, 814, 6766, 16712, 6927, 543, 568, 267, 607, 540, 519, 476, 2641, 560, 2540, 267, 1869, 538, 946, 538, 930, 3909, 2950, 269, 1744, 7559, 1876, 1759, 593, 9099, 3741, 568, 1031, 607, 519, 3119, 3656, 1062, 538, 1896, 2477, 267, 1519, 9459, 543, 18142, 17936, 269, 18366, 540, 4031, 267, 610, 4357, 3486, 1876, 538, 3540, 1876, 2477, 267, 4145, 799, 16278, 513, 3656, 15539, 1063, 4357, 6105, 1058, 581, 4862, 538, 543, 799, 16278, 779, 1876, 1058, 581, 4294, 269, 4653, 267, 4213, 616, 5051, 5827, 540, 13346, 3854, 543, 11668, 3761, 11800, 2066, 10665, 267, 607, 1134, 607, 9467, 609, 18246, 4213, 267, 1818, 519, 2243, 540, 799, 2197, 814, 16278, 1256, 811, 10296, 269, 23207, 2338, 540, 4213, 1904, 585, 5010, 32404, 896, 519, 1715, 3840, 13482, 476, 4198, 279, 563, 268, 1133, 3286, 23918 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2304, 1163, 27074, 622, 9721, 2551, 538, 1022, 2197, 824, 982, 8581, 610, 8832, 8581, 568, 3622, 2808, 547, 581, 9721, 32164, 7847, 543, 741, 18939, 267, 693, 2547, 547, 519, 6708, 602, 519, 1004, 3238, 616, 3222, 540, 741, 9721, 6561, 543, 8348, 547, 11760, 621, 269, 901, 4214, 10039, 547, 936, 476, 3199, 2929, 1004, 267, 14320, 811, 982, 519, 476, 274, 2929, 540, 9721, 22874, 945, 21078, 538, 824, 2477, 269, 901, 4130, 1895, 568, 3989, 676, 519, 2229, 540, 8581, 538, 3656, 2474, 607, 1346, 540, 9721, 22874, 945, 4356, 1302, 21078, 3544, 540, 519, 6532, 540, 8581, 269, 898, 2882, 9721, 4961, 945, 723, 32164, 3603, 13383, 543, 741, 1453, 267, 945, 616, 9721, 4961, 676, 16350, 896, 9721, 1876, 269, 898, 849, 2882, 741, 6264, 18244, 538, 2665, 1141, 789, 941, 10805, 607, 9721, 4961, 538, 519, 14579, 21960, 2195, 19193, 4371, 538, 1169, 9721, 20320, 5692, 563, 763, 1292, 2376, 9721, 29563, 3568, 3877, 540, 1034, 1163, 27074, 622, 9721, 5095, 267, 543, 2488, 6402, 547, 1292, 4930, 827, 1082, 540, 873, 269, 901, 2376, 6799, 1346, 6402, 267, 543, 930, 1866, 267, 538, 9184, 983, 1106, 11231, 9904, 1227, 676, 2197, 563, 347, 8512, 540, 513, 3126, 593, 454, 347, 3528, 3148, 610, 2197, 454, 30054, 16722, 543, 22463, 454, 347, 14532, 540, 8581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 12864, 5999, 454, 266, 272, 8917, 692, 258, 7201, 519, 9117, 540, 513, 3196, 623, 267, 519, 1560, 666, 1405, 7575, 909, 606, 13141, 710, 689, 3355, 2990, 1269, 343, 318, 272, 15871, 5611, 6515, 259, 547, 1269, 343, 318, 273, 284, 3199, 20939, 332, 259, 1141, 1269, 343, 284, 271, 259, 568, 519, 13417, 516, 3481, 2990, 540, 519, 5614, 2059, 519, 13141, 710, 269, 4855, 519, 960, 2944, 676, 519, 5614, 692, 259, 263, 320, 9385, 282, 275, 269, 6734, 31046, 297, 315, 15153, 630, 321, 9385, 282, 273, 269, 1839, 31046, 297, 1422, 15153, 630, 322, 9385, 282, 476, 274, 269, 276, 31046, 297, 1422, 15153, 630, 323, 9385, 282, 275, 269, 7176, 31046, 297, 6911, 5804, 1269, 343, 24210, 318, 272, 259, 547, 1269, 343, 284, 271, 259, 3196, 568, 2059, 12761, 454, 773, 960, 2944, 1269, 7807, 26171, 21702, 346, 272, 2410, 273, 6525, 330, 343, 318, 272, 317, 273, 689, 1535, 284, 271, 547, 1535, 24210, 318, 273, 3196, 568, 6587, 540, 8420, 576, 618, 865, 960, 2944, 568, 28363, 26171, 21702, 346, 272, 2410, 273, 6525, 330, 343, 318, 273, 317, 273, 14204, 7445, 11004, 1150, 259, 11192, 960, 2944, 1269, 7807, 26171, 21702, 346, 4335, 2410, 273, 6525, 315, 15927, 326, 27007, 271, 269, 1428, 8203, 273, 24179, 271, 269, 5400, 8203, 273, 315, 15927, 326, 316, 14204, 7445, 29911, 284, 476, 275, 269, 6734, 20939, 297, 14204, 17798, 513, 568, 519, 2953, 2626, 780, 539, 1243, 4924, 476, 1704, 267, 476, 1001, 275, 676, 803, 6511, 4877 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4486, 2187, 1038, 1582, 21606, 815, 1883, 454, 1038, 1582, 16000, 815, 1582, 16192, 815, 7183, 692, 825, 1219, 7696, 4311, 267, 11907, 2187, 1038, 952, 1582, 21606, 912, 2018, 952, 1239, 10922, 1582, 21606, 912, 3546, 952, 1582, 16000, 912, 7386, 1582, 16000, 27044, 16597, 994, 3546, 3116, 912, 7386, 6843, 815, 19219, 16597, 994, 7386, 1582, 16000, 815, 6843, 454, 2018, 8640, 1239, 3436, 1582, 21606, 912, 3546, 952, 1582, 16192, 912, 7386, 1582, 16192, 27044, 16597, 994, 3546, 3116, 912, 7386, 6843, 815, 19219, 16597, 994, 7386, 1582, 16192, 815, 6843, 454, 1038, 3116, 912, 2018, 1582, 21606, 815, 1239, 692, 825, 1219, 538, 4650, 4311, 267, 10174, 2187, 1038, 759, 815, 11713, 1038, 952, 3597, 912, 2018, 759, 815, 1582, 23357, 4650, 20172, 16000, 994, 2018, 759, 6910, 20172, 21606, 994, 2018, 759, 6834, 1582, 23357, 4650, 20172, 16192, 994, 1038, 2132, 759, 22562, 825, 1219, 1990, 580, 345, 698, 4311, 267, 10174, 2187, 1038, 952, 3597, 568, 7183, 912, 2018, 2132, 28329, 1038, 1699, 24038, 815, 11713, 1038, 1985, 24038, 815, 29129, 1038, 561, 13700, 815, 6936, 692, 1038, 1699, 24038, 6910, 20172, 2020, 1038, 1247, 7003, 263, 9690, 24038, 264, 3436, 476, 271, 912, 2018, 10917, 815, 1699, 24038, 21014, 8987, 272, 994, 2018, 1820, 6025, 11391, 21606, 2020, 2018, 952, 561, 13700, 912, 3546, 952, 10917, 16000, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16000, 994, 3546, 952, 10917, 16192, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16192, 994, 2018, 3116, 912, 3546, 952, 10917, 16192, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16192, 994, 3546, 952, 10917, 16000, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16000, 994, 27030, 2018, 952, 7003, 263, 9690, 24038, 264, 2652, 476, 271, 912, 3546, 561, 13700, 815, 711, 561, 13700, 454, 3546, 1699, 24038, 267, 10113, 24038, 815, 1985, 24038, 267, 9690, 24038, 692, 10174, 815, 19219, 263, 2004, 994, 10174, 27044, 263, 736, 994, 10174, 27044, 263, 1789, 994, 10174, 27044, 263, 276, 994, 10174, 27044, 263, 1839, 994, 10174, 27044, 263, 2412, 994, 10174, 27044, 263, 3583, 994, 10174, 27044, 263, 2568, 994, 2745, 20172, 23357, 4650, 20172, 4917, 10174, 269, 345, 580, 345, 698, 20172, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 280, 281, 3212, 1359, 883, 519, 570, 4176, 2622, 910, 589, 17714, 3414, 5843, 2675, 4878, 692, 5970, 596, 2479, 16545, 1373, 2111, 547, 2263, 513, 6456, 7122, 2407, 540, 13300, 602, 616, 1932, 1507, 585, 938, 4064, 547, 1294, 286, 4270, 267, 9939, 1176, 585, 721, 8049, 17701, 267, 972, 781, 1945, 1572, 513, 17209, 256, 2060, 621, 267, 649, 666, 4685, 883, 513, 2898, 1007, 1158, 602, 6818, 782, 1472, 721, 269, 901, 3184, 786, 6338, 596, 547, 891, 9735, 2645, 1247, 2921, 596, 1900, 676, 1900, 998, 519, 9589, 3460, 540, 1769, 607, 621, 2337, 9145, 8554, 7866, 1256, 519, 17646, 5006, 3877, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 1205, 3323, 2439, 8512, 594, 281, 22628, 568, 5617, 773, 1324, 1107, 1215, 5843, 2675, 8554, 6435, 2974, 10812, 519, 9540, 2622, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19859, 2675, 8554, 723, 1044, 1472, 585, 5553, 267, 4543, 721, 1174, 543, 7747, 519, 14960, 540, 519, 1158, 1472, 721, 693, 513, 18784, 1377, 269, 1809, 723, 596, 2479, 9289, 875, 1769, 12599, 998, 513, 17209, 547, 1711, 1346, 2143, 2592, 649, 1294, 286, 4197, 875, 1769, 12599, 998, 513, 17209, 568, 2629, 547, 13844, 2312, 543, 4977, 2592, 269, 769, 713, 2376, 267, 649, 786, 1491, 513, 6251, 1413, 693, 875, 1281, 1769, 2951, 998, 519, 17209, 267, 519, 1114, 3334, 3238, 543, 741, 3252, 563, 21995, 10417, 540, 8752, 13488, 454, 26903, 540, 8752, 454, 23409, 568, 513, 1106, 540, 13590, 5951, 602, 12599, 538, 2786, 3515, 609, 513, 3586, 3432, 540, 827, 476, 5908, 267, 28434, 5195, 829, 2034, 269, 898, 568, 1500, 909, 540, 22726, 267, 799, 616, 10026, 5536, 602, 723, 1312, 5951, 6438, 543, 9325, 6438, 7907, 269, 7353, 976, 723, 1100, 2527, 267, 855, 789, 723, 1648, 543, 11610, 563, 1692, 8752, 3004, 12069, 454, 23409, 666, 2951, 998, 1585, 23447, 267, 1519, 2011, 267, 1216, 267, 543, 4837, 269, 634, 3432, 540, 1769, 538, 1114, 23447, 9775, 267, 543, 713, 3123, 555, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5843, 2675, 8554, 1299, 5843, 2675, 4878, 1315, 8111, 268, 4910, 1828, 5843, 2675, 4878, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19667, 1707, 11628, 9752, 8293, 1563, 1912, 9582, 6096, 454, 19667, 1707, 11628, 9752, 8293, 1563, 1912, 9582, 6096, 563, 2690, 1169, 1377, 267, 972, 616, 18551, 3211, 8720, 1142, 5578, 602, 18551, 5869, 11414, 269, 1912, 9582, 3211, 616, 513, 1390, 1259, 547, 1205, 707, 1126, 4712, 585, 811, 4359, 1983, 538, 519, 1455, 4295, 1533, 4441, 269, 693, 713, 1448, 267, 1034, 540, 707, 1053, 917, 875, 547, 1224, 543, 2328, 513, 1906, 1913, 543, 786, 581, 2111, 547, 10956, 1913, 602, 616, 1455, 547, 873, 563, 1607, 32620, 4359, 1377, 23519, 12857, 1142, 4484, 540, 519, 9904, 538, 25777, 621, 568, 2966, 585, 1453, 945, 616, 4712, 547, 1376, 25777, 1603, 610, 1346, 945, 991, 29433, 25777, 1603, 2259, 269, 10472, 23519, 3568, 9212, 543, 1568, 538, 9904, 673, 1931, 630, 18314, 9212, 2407, 540, 1187, 563, 611, 341, 2331, 3232, 3211, 269, 1118, 707, 1378, 3232, 6863, 3211, 10959, 269, 4359, 5036, 630, 15553, 569, 264, 540, 6863, 1759, 2542, 8223, 269, 4098, 5036, 630, 15553, 569, 264, 540, 6863, 1759, 2542, 8223, 269, 2090, 4441, 1759, 2542, 8223, 3211, 563, 17582, 18694, 2542, 1863, 6824, 3211, 3446, 19420, 517, 2979, 8454, 17447, 3756, 1187, 2238, 3214, 4359, 2055, 2645, 18551, 269, 1912, 9582, 4079, 3211, 4359, 269, 7335, 18551, 1603, 3232, 7924, 2259, 9656, 3211, 3446, 476, 272, 2534, 1863, 7792, 22525, 2238, 3610, 13004, 2979, 4359, 269, 15026, 3113, 1957, 2010, 2055, 3211, 2596, 18551, 1863, 3446, 476, 272, 3450, 2979, 5955, 4359, 269, 1912, 9582, 4976, 4359, 3211, 269, 17006, 2338, 4976, 3446, 20800, 3652, 2689, 3211, 4359, 2979, 2055, 4267, 2542, 3756, 1449, 1982, 2875, 8631, 18551, 269, 6103, 18551, 4976, 4359, 3211, 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 ]
[ 0, 763, 30594, 22913, 5741, 568, 8989, 3078, 2164, 1644, 547, 22130, 543, 9450, 27948, 2504, 543, 519, 1646, 540, 3209, 6289, 24899, 22683, 10827, 919, 563, 294, 1905, 515, 928, 2389, 8972, 6289, 578, 2231, 1223, 4166, 5372, 1699, 5905, 31653, 2029, 267, 4227, 2504, 3790, 543, 3850, 585, 811, 10097, 267, 8465, 10525, 563, 12867, 1867, 602, 17335, 290, 18199, 338, 616, 8685, 983, 22130, 538, 513, 2189, 6186, 24316, 12122, 267, 4611, 689, 519, 2208, 540, 513, 1990, 580, 345, 698, 22130, 26781, 563, 6124, 960, 2982, 602, 1007, 1362, 540, 6289, 665, 15009, 1023, 13745, 547, 22130, 3123, 1979, 7721, 31842, 976, 547, 1995, 21921, 1588, 543, 21800, 12998, 540, 27141, 8424, 563, 10673, 724, 7699, 2160, 3173, 3132, 22130, 543, 22130, 23282, 18694, 630, 294, 10064, 8358, 2704, 273, 302, 274, 29322, 563, 31590, 8872, 2861, 3113, 12792, 3327, 6491, 20183, 814, 519, 1761, 547, 2087, 27820, 1031, 538, 5907, 3457, 563, 12867, 723, 7152, 513, 4480, 17929, 519, 5907, 3601, 540, 717, 8042, 10636, 739, 23461, 666, 581, 9168, 609, 7298, 1769, 563, 12867, 1711, 606, 5841, 3114, 9300, 1759, 593, 835, 540, 519, 1480, 1560, 779, 1034, 1271, 13364, 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 ]
[ 0, 9223, 281, 5253, 543, 9373, 8877, 281, 1215, 547, 1118, 513, 887, 770, 3434, 5488, 269, 6333, 887, 8463, 707, 12129, 538, 513, 28681, 14089, 269, 901, 5986, 1184, 1568, 676, 1210, 513, 10178, 547, 11179, 9514, 3905, 2011, 5196, 519, 5779, 2864, 982, 1175, 3295, 621, 267, 543, 607, 513, 1267, 596, 666, 887, 770, 8286, 543, 5011, 5111, 476, 1839, 260, 5488, 982, 609, 513, 2834, 14089, 269, 1403, 942, 568, 513, 3815, 585, 596, 267, 596, 949, 6999, 547, 2015, 11449, 543, 1210, 513, 28681, 14089, 269, 3097, 271, 269, 1230, 557, 794, 9065, 839, 616, 1804, 2614, 547, 1683, 476, 7742, 268, 4968, 3764, 693, 4055, 2837, 269, 634, 5986, 942, 568, 6829, 538, 3268, 2630, 563, 272, 269, 4329, 267, 2094, 621, 3217, 513, 2603, 811, 960, 547, 3035, 519, 1267, 596, 7287, 267, 596, 786, 2693, 581, 8572, 547, 3434, 5779, 6151, 1210, 513, 2757, 14089, 269, 1496, 11357, 25074, 316, 1411, 666, 1265, 28681, 9065, 839, 693, 1034, 2199, 8800, 8637, 563, 273, 269, 1496, 11357, 25074, 316, 1230, 557, 794, 9065, 839, 666, 3622, 581, 6378, 269, 1403, 596, 1616, 547, 4688, 1648, 543, 1831, 8902, 267, 789, 849, 946, 6633, 518, 5210, 540, 476, 2004, 11019, 535, 630, 275, 11019, 524, 264, 609, 513, 4756, 4259, 563, 274, 269, 1496, 27583, 316, 2422, 513, 2604, 3434, 518, 547, 887, 770, 5779, 3533, 269, 1496, 21163, 316, 16242, 3434, 619, 9252, 519, 887, 770, 676, 1210, 513, 1390, 4308, 540, 2604, 543, 3196, 519, 3002, 883, 519, 5779, 563, 12585, 281, 476, 274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7093, 5632, 322, 1822, 277, 1729, 9826, 271, 22240, 3066, 692, 258, 2776, 5632, 322, 1822, 277, 1729, 9826, 271, 22240, 3066, 910, 630, 4089, 476, 271, 269, 280, 22217, 4328, 13718, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 263, 4089, 476, 271, 269, 280, 281, 22217, 4328, 10789, 545, 25285, 264, 476, 271, 269, 280, 269, 1556, 8210, 5558, 5473, 17773, 18438, 630, 29589, 539, 856, 264, 13565, 22043, 4813, 10358, 22227, 1535, 476, 273, 1535, 343, 1341, 476, 275, 20465, 815, 1535, 476, 272, 1535, 1341, 476, 275, 1535, 13008, 476, 271, 815, 1535, 1535, 1341, 476, 275, 1535, 13008, 476, 271, 1284, 666, 22599, 630, 12061, 14706, 267, 6697, 264, 2188, 540, 519, 3003, 19362, 543, 519, 3003, 14009, 269, 513, 476, 272, 1341, 536, 476, 272, 815, 513, 1341, 536, 476, 272, 1547, 476, 272, 513, 1341, 476, 272, 536, 815, 476, 272, 513, 13008, 536, 536, 1341, 476, 272, 536, 13008, 513, 513, 815, 536, 1341, 513, 705, 2073, 610, 513, 1341, 536, 705, 1547, 1403, 649, 1039, 899, 8454, 267, 649, 1039, 519, 6746, 2209, 543, 1832, 519, 1455, 14009, 269, 1403, 649, 1039, 7429, 8454, 267, 649, 798, 711, 1039, 519, 32159, 1547, 513, 546, 13008, 536, 1341, 524, 546, 815, 513, 13008, 536, 1341, 524, 546, 589, 6824, 2516, 1927, 922, 19362, 630, 663, 2516, 1927, 922, 14009, 15426, 476, 272, 1535, 1341, 476, 272, 1535, 476, 273, 815, 1535, 13008, 476, 272, 1341, 1535, 13008, 476, 273, 5589, 760, 10635, 1023, 3112, 581, 3144, 2165, 8386, 3856, 269, 476, 272, 476, 278, 1535, 13008, 476, 275, 270, 274, 815, 476, 272, 476, 278, 1535, 1535, 476, 11054, 476, 271, 634, 2942, 20800, 1152, 10039, 547, 1535, 1547, 29332, 5588, 27237, 2464, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 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 ]
[ 0, 294, 5782, 14033, 2421, 5900, 3555, 16071, 454, 294, 5782, 568, 513, 2749, 543, 513, 29109, 4092, 538, 519, 674, 12661, 880, 16323, 540, 19934, 269, 898, 568, 519, 3854, 543, 7887, 2749, 540, 519, 5101, 674, 1633, 619, 11662, 269, 634, 2749, 3323, 607, 513, 11175, 693, 519, 1476, 26475, 540, 519, 23117, 2480, 18988, 339, 543, 700, 903, 543, 538, 519, 5664, 12698, 2968, 835, 540, 519, 4102, 543, 29659, 4872, 540, 7187, 2342, 563, 8698, 717, 5782, 3391, 3436 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4578, 5815, 602, 3114, 14107, 8764, 622, 476, 7871, 260, 540, 519, 25825, 602, 8900, 883, 519, 27991, 1901, 820, 7345, 269, 1452, 3114, 14107, 616, 1336, 538, 519, 8031, 540, 2831, 2713, 538, 519, 15922, 269, 6904, 1895, 540, 1004, 945, 2661, 2476, 689, 519, 15922, 1522, 581, 1034, 4299, 676, 891, 3114, 14107, 888, 271, 269, 1004, 945, 3802, 2282, 519, 15922, 454, 272, 269, 1004, 945, 1224, 2835, 827, 519, 15922, 454, 273, 269, 1004, 945, 8532, 3165, 689, 519, 15922, 454, 274, 269, 1004, 945, 1378, 16996, 546, 18088, 538, 519, 15922, 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 ]
[ 0, 3698, 568, 318, 548, 777, 12169, 792, 8029, 825, 20014, 815, 834, 16178, 29177, 825, 952, 1032, 260, 6110, 2525, 271, 6769, 1038, 20014, 815, 834, 12148, 29177, 825, 8640, 1032, 260, 1911, 2525, 271, 543, 1032, 260, 6110, 256, 284, 271, 6769, 1038, 20014, 815, 834, 16178, 29177, 825, 8640, 1032, 260, 275, 2525, 271, 543, 1032, 260, 1911, 256, 284, 271, 6769, 1038, 20014, 815, 834, 12148, 29177, 825, 3116, 6769, 1038, 20014, 815, 834, 16178, 29177, 825, 2132, 20014, 5897, 20204, 815, 703, 263, 3863, 17750, 3890, 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 ]

[ 0, 9767, 547, 2328, 606, 1557, 269, 2201, 519, 835, 1688, 267, 621, 568, 1271, 602, 649, 3314, 938, 6561, 269, 19732, 1465, 666, 1689, 2290, 540, 519, 8753, 1419, 6537, 689, 519, 1101, 1353, 568, 602, 1100, 2339, 1018, 649, 798, 649, 18085, 1860, 1454, 1689, 883, 938, 1279, 2165, 1377, 540, 1134, 5630, 543, 1272, 9547, 269, 2052, 649, 2161, 602, 2724, 543, 824, 1570, 5370, 1118, 835, 6126, 286, 1717, 267, 972, 568, 2178, 4661, 602, 649, 1058, 1413, 585, 2072, 543, 711, 23651, 267, 7836, 1447, 2724, 593, 8497, 519, 2250, 543, 811, 593, 17516, 938, 2104, 269, 1403, 519, 3312, 3069, 729, 2953, 267, 782, 519, 3646, 649, 22738, 547, 2333, 8788, 616, 1448, 1652, 543, 941, 798, 15701, 547, 7683, 2132, 547, 9243, 563, 763, 4052, 5057, 568, 519, 11601, 540, 513, 5837, 1915, 267, 607, 5941, 1657, 269, 6875, 2724, 267, 585, 1383, 269, 589, 2875, 949, 4125, 513, 8471, 7664, 540, 835, 540, 891, 1913, 282, 1331, 519, 3091, 689, 519, 21594, 267, 543, 1039, 513, 1906, 1913, 10503, 519, 2123, 1620, 540, 519, 2262, 269, 3371, 649, 1294, 519, 8112, 538, 14163, 582, 956, 2272, 281, 607, 4166, 607, 646, 5956, 547, 2482, 1524, 930, 5837, 3652, 267, 646, 6001, 525, 873, 538, 1931, 547, 1491, 883, 7156, 519, 3099, 543, 20314, 1890, 540, 1880, 2191, 14613, 269, 1977, 5369, 6048, 267, 476, 8618, 263, 275, 476, 25134, 27183, 563, 25889, 1344, 568, 711, 8078, 2218, 1175, 2638, 2436, 1169, 5094, 2856, 814, 513, 5094, 5037, 543, 6529, 547, 519, 2497, 2630, 269, 3245, 875, 547, 2328, 513, 4214, 1557, 4367, 547, 519, 5912, 1913, 585, 4214, 1557, 267, 649, 786, 2671, 3388, 2556, 547, 917, 827, 713, 1826, 540, 7084, 269, 4438, 519, 476, 3583, 338, 267, 519, 1523, 729, 1634, 607, 15949, 4577, 9542, 269, 17664, 267, 11184, 6424, 630, 1960, 276, 1916, 7078, 281, 519, 8613, 1982, 10611, 269, 7151, 281, 594, 31372, 11014, 676, 519, 6049, 269, 594, 666, 2268, 5070, 543, 5135, 676, 2597, 543, 4320, 267, 855, 594, 666, 1405, 2445, 513, 11013, 540, 5539, 610, 513, 2148, 540, 5837, 30891, 19403, 811, 454, 2690, 1383, 267, 621, 949, 581, 602, 1603, 707, 12031, 729, 513, 3226, 2352, 1974, 269, 1717, 267, 952, 596, 616, 4304, 2828, 267, 596, 1522, 2015, 1152, 1210, 1101, 4408, 547, 2149, 741, 9163, 269, 901, 786, 1611, 513, 5649, 811 ]

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

[ 0, 5228, 5299, 1104, 2620, 32476, 454, 5228, 17511, 1104, 5903, 692, 5228, 7780, 2812, 2593, 3000, 1104, 2196, 22710, 692, 12163, 14756, 503, 27936, 22047, 23746, 25060, 483, 12571, 360, 19404, 491, 14035, 491, 12255, 21211, 7511, 31365, 28578, 8147, 13213, 498, 18713, 508, 19867, 478, 20069, 21251, 19404, 491, 14035, 491, 7511, 10429, 357, 26406, 496, 28578, 12486, 692, 419, 353, 374, 28032, 489, 1384, 27447, 24662, 281, 1496, 272, 267, 272, 267, 273, 2639, 27447, 24731, 912, 314, 454, 476, 1496, 272, 267, 272, 267, 273, 16689, 476, 1496, 272, 267, 273, 267, 272, 16689, 476, 1496, 273, 267, 272, 267, 272, 2639, 6540, 20701, 454, 5035, 8827, 912, 825, 7711, 14725, 22710, 454, 825, 1219, 7989, 1393, 4462, 1664, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 27776, 316, 14158, 1038, 759, 815, 29129, 1038, 1219, 1394, 10177, 1188, 9638, 987, 281, 5903, 27776, 3910, 15358, 17107, 2018, 1948, 1820, 6600, 257, 12949, 2433, 2715, 12949, 348, 5602, 2018, 1948, 1820, 6600, 257, 333, 4548, 2433, 2715, 333, 4548, 348, 15419, 2018, 952, 711, 15358, 912, 3546, 1948, 17276, 510, 495, 418, 371, 365, 18021, 355, 421, 479, 491, 31308, 484, 28996, 18021, 499, 454, 3546, 952, 2619, 538, 759, 912, 7386, 2132, 454, 3546, 759, 6910, 9638, 987, 994, 3546, 2132, 692, 2018, 585, 1775, 538, 2039, 12759, 25225, 15892, 3546, 1948, 1820, 6600, 257, 1721, 9847, 2619, 2433, 2715, 12949, 348, 5602, 3546, 1948, 1820, 6600, 257, 1721, 9847, 15358, 2433, 2715, 333, 4548, 348, 15419, 3546, 1948, 13127, 364, 484, 25051, 497, 31176, 491, 12255, 20693, 510, 24662, 2619, 454, 3546, 2619, 6910, 25225, 5157, 20285, 3546, 1948, 454, 3546, 1394, 10177, 1188, 263, 1372, 788, 32476, 9638, 987, 1070, 15358, 11468, 328, 316, 1341, 15358, 5157, 1341, 476, 272, 281, 20285, 3546, 1948, 1820, 6600, 257, 6524, 595, 30327, 2619, 2433, 2715, 12949, 348, 5602, 3546, 1948, 17276, 496, 353, 421, 498, 478, 454, 3546, 2619, 21014, 4590, 3546, 1948, 1820, 6600, 257, 5475, 595, 30327, 2619, 2433, 2715, 12949, 348, 15419, 1038, 1394, 10177, 1188, 8443, 3910, 15358, 2020, 1038, 2132, 759, 692, 825, 7711, 14725, 22710, 454, 825, 1219, 7989, 1393, 4462, 1664, 273, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 27776, 316, 14158, 1038, 759, 815, 29129, 1038, 1219, 1394, 10177, 1188, 9638, 987, 281, 5903, 27776, 3910, 15358, 281, 5903, 27776, 316, 2187, 2018, 952, 711, 15358, 912, 3546, 952, 2619, 538, 759, 912, 7386, 2132, 692, 3546, 759, 6910, 9638, 987, 994, 3546, 2132, 692, 2018, 585, 1775, 538, 2039, 12759, 25225, 15892, 3546, 2619, 6910, 25225, 5157, 20285, 3546, 1394, 10177, 1188, 263, 1372, 788, 32476, 9638, 987, 1070, 15358, 11468, 328, 316, 1341, 15358, 27007, 328, 1341, 476, 272, 2567, 7481, 3546, 1948, 1394, 10177, 1188, 9638, 987, 11468, 3910, 15358, 11468, 328, 316, 1341, 15358, 27007, 328, 1341, 476, 272, 2567, 20285, 3546, 2619, 21014, 10797, 1038, 1394, 10177, 1188, 8443, 3910, 15358, 2020, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 15358, 815, 1496, 272, 267, 476, 272, 267, 476, 273, 2639, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 269, 11279, 1393, 4462, 1664, 273, 25225, 4917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5620, 596, 2479, 4862, 540, 519, 28554, 4115, 32595, 19482, 18162, 286, 1358, 2811, 538, 5125, 267, 2282, 513, 2749, 1572, 22540, 780, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 2334, 4992, 4277, 256, 3657, 972, 1082, 10239, 547, 18214, 2496, 8334, 281, 8786, 267, 972, 616, 256, 1656, 519, 5784, 689, 519, 1283, 616, 1175, 5863, 269, 1809, 1354, 649, 979, 267, 649, 991, 547, 1118, 2386, 649, 3640, 5265, 585, 938, 30382, 269, 1684, 596, 917, 1018, 649, 1058, 3142, 2059, 2496, 7692, 281, 772, 7825, 1862, 2280, 803, 1589, 269, 1284, 786, 9090, 991, 1216, 267, 1318, 286, 1677, 3251, 19872, 1247, 16246, 1346, 7381, 10239, 780, 8334, 281, 25999, 267, 7585, 256, 4826, 568, 1898, 269, 1548, 3116, 1131, 948, 721, 952, 649, 1205, 13110, 1282, 938, 30382, 2496, 7692, 281, 10965, 2931, 256, 6052, 13063, 610, 5613, 1223, 2285, 721, 3063, 1648, 780, 8334, 281, 4279, 3206, 256, 3767, 267, 4952, 952, 2576, 3893, 10413, 1247, 19482, 282, 1018, 1223, 649, 946, 547, 6512, 720, 741, 10138, 2496, 7692, 281, 589, 1101, 5351, 6539, 256, 898, 2356, 814, 6512, 1137, 543, 21149, 1218, 3330, 780, 8334, 281, 1411, 2811, 20414, 593, 3533, 269, 14936, 267, 2094, 5985, 6049, 6786, 1522, 581, 4617, 538, 7823, 2127, 267, 799, 6221, 1131, 1869, 1450, 721, 547, 1294, 1141, 649, 2811, 2469, 1510, 13461, 593, 2029, 2496, 7692, 281, 7937, 267, 594, 917, 713, 835, 910, 513, 22315, 543, 4786, 256, 1452, 666, 3391, 721, 1256, 950, 11436, 1810, 1405, 960, 780, 8334, 281, 20056, 550, 2816, 267, 7585, 256, 5457, 532, 547, 3640, 891, 3688, 2982, 1434, 10385, 543, 2337, 2327, 938, 3106, 269, 5871, 2631, 899, 713, 2306, 10707, 811, 11791, 269, 1924, 267, 4712, 585, 707, 28554, 4115, 32595, 7045, 2496, 7692, 281, 4347, 17802, 267, 7705, 256, 2060, 1250, 3972, 344, 30618, 4904, 609, 1216, 267, 16152, 267, 513, 1101, 5351, 6539, 267, 543, 513, 22315, 1299, 4786, 267, 594, 1745, 5423, 585, 4376, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10000, 593, 519, 13962, 1768, 15869, 693, 23392, 21537, 529, 334, 563, 12640, 6866, 24455, 12134, 803, 11652, 713, 568, 267, 5667, 584, 29418, 267, 513, 7928, 12136, 1765, 6343, 1250, 5172, 7552, 729, 267, 519, 12918, 616, 1164, 602, 594, 3580, 2161, 2063, 1747, 594, 10272, 269, 594, 6557, 2386, 1250, 2828, 941, 782, 7210, 540, 1250, 5134, 344, 31991, 986, 3387, 13530, 827, 5487, 639, 22828, 779, 11903, 29288, 267, 27060, 779, 796, 4944, 334, 6150, 17822, 267, 645, 860, 3534, 779, 2025, 17469, 959, 3430, 528, 5362, 267, 543, 25592, 21289, 779, 1350, 25428, 13050, 267, 936, 7308, 31795, 3388, 563, 3383, 1491, 1018, 594, 2161, 1985, 609, 513, 10286, 540, 6070, 281, 713, 729, 634, 269, 7454, 269, 25676, 269, 17451, 563, 22517, 1846, 543, 12784, 5134, 538, 681, 10216, 1642, 8493, 320, 563, 11039, 267, 6148, 711, 4010, 267, 855, 621, 779, 1259, 909, 593, 519, 1592, 269, 2290, 540, 1250, 5172, 1919, 827, 22540, 568, 602, 621, 779, 1318, 2066, 519, 8473, 689, 7977, 269, 28228, 333, 7770, 619, 616, 23816, 540, 10912, 621, 676, 922, 7969, 1395, 32304, 267, 3933, 23147, 1019, 28554, 1512, 320, 267, 543, 22348, 1004, 602, 789, 2461, 18374, 513, 7187, 7969, 2749, 269, 2755, 621, 779, 513, 18941, 602, 32228, 2103, 798, 711, 3100, 547, 2671, 267, 621, 779, 2182, 547, 20912, 602, 519, 1079, 723, 930, 2686, 16937, 543, 267, 607, 835, 7986, 2199, 18056, 803, 267, 596, 666, 5577, 2066, 519, 536, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 822, 4115, 32595, 670, 10884, 3004, 2812, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 5125, 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 ]

[ 0, 300, 5308, 4596, 310, 267, 476, 1556, 3057, 1107, 681, 8656, 8734, 739, 328, 269, 634, 3131, 14651, 30024, 814, 6592, 519, 3280, 540, 922, 8955, 593, 519, 4414, 14136, 585, 519, 1101, 942, 267, 2687, 547, 513, 8331, 2046, 5305, 563, 28606, 17067, 621, 729, 4080, 602, 519, 30024, 1500, 519, 1101, 1449, 5397, 1472, 519, 4541, 563, 12441, 596, 917, 286, 2368, 4992, 602, 649, 2811, 1031, 547, 593, 3047, 267, 899, 627, 30178, 267, 30518, 610, 6177, 8964, 267, 1131, 581, 3592, 538, 7596, 1043, 593, 9370, 563, 9596, 811, 538, 519, 968, 306, 2432, 540, 9370, 892, 12558, 540, 938, 30985, 17807, 15264, 563, 6930, 492, 356, 19415, 281, 4179, 2517, 339, 16691, 270, 298, 326, 306, 304, 2750, 336, 326, 583, 17552, 6745, 342, 7867, 2593, 270, 312, 311, 343, 329, 292, 4649, 12682, 307, 454, 1700, 8331, 31822, 22498, 264, 4728, 476, 1015, 267, 476, 1708, 272, 454, 763, 1101, 19827, 540, 519, 8111, 23173, 6293, 8704, 593, 519, 30024, 723, 8452, 593, 3047, 269, 968, 763, 1239, 689, 519, 6293, 8452, 693, 519, 3943, 2230, 8116, 781, 4238, 4099, 538, 570, 9567, 1787, 543, 2882, 519, 1101, 8301, 19827, 540, 8955, 3280, 593, 1776, 4541, 2223, 519, 2046, 5305, 1767, 563, 763, 5692, 5950, 1614, 8301, 6119, 267, 519, 1101, 540, 799, 729, 6592, 1175, 476, 1240, 3108, 1310, 13941, 269, 1703, 568, 513, 2603, 540, 2842, 593, 519, 19827, 267, 2523, 593, 519, 2034, 476, 736, 29364, 10916, 267, 799, 729, 1500, 593, 519, 8772, 6742, 1014, 1554, 630, 21938, 476, 2420, 1040, 634, 3791, 3758, 267, 6592, 593, 476, 1321, 6742, 1014, 2395, 630, 18550, 476, 273, 1070, 2982, 519, 30390, 540, 513, 8955, 6322, 693, 513, 4224, 693, 513, 3845, 540, 827, 476, 274, 7397, 269, 2368, 8955, 16125, 616, 5594, 21514, 1457, 267, 4758, 1344, 827, 519, 2168, 2497, 540, 1114, 9072, 267, 971, 607, 3448, 21052, 563, 22498, 781, 21777, 30024, 267, 3131, 14651, 267, 9250, 689, 3047, 2063, 5147, 543, 6707, 15354, 593, 9370, 538, 5988, 269, 634, 3926, 814, 2907, 10299, 547, 3047, 711, 1152, 2592, 540, 519, 4414, 14136, 267, 855, 849, 513, 3381, 6592, 1282, 922, 13941, 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 ]

[ 0, 9223, 281, 27686, 707, 2777, 25907, 454, 271, 269, 11162, 707, 2777, 9420, 338, 676, 9900, 25738, 593, 519, 9420, 338, 585, 1896, 3108, 563, 272, 269, 11162, 707, 2777, 9420, 338, 676, 1210, 519, 15081, 565, 20712, 13613, 593, 707, 12511, 563, 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 ]

[ 0, 763, 4282, 540, 519, 4389, 19548, 1973, 2095, 538, 667, 1075, 1156, 928, 16757, 30484, 15577, 454, 291, 1075, 1156, 928, 16757, 30484, 15577, 630, 291, 13270, 264, 568, 6353, 676, 4049, 543, 11636, 4887, 8467, 1813, 547, 13592, 538, 519, 667, 13270, 5444, 799, 1291, 547, 519, 9000, 540, 519, 30484, 5268, 514, 3940, 269, 589, 1713, 8167, 540, 519, 4299, 1453, 7985, 689, 1808, 1565, 543, 8965, 9124, 799, 616, 811, 1455, 609, 30218, 13592, 538, 519, 667, 13270, 5444, 602, 1291, 547, 9000, 540, 2789, 30484, 5268, 514, 568, 334, 13257, 269, 21298, 649, 4080, 513, 5786, 538, 519, 2179, 540, 15454, 2339, 4320, 267, 12012, 3043, 2339, 2890, 560, 4450, 543, 4389, 19548, 1973, 2095, 267, 12290, 609, 6419, 16982, 9196, 630, 28122, 264, 538, 667, 13270, 269, 24583, 13887, 1973, 2095, 4249, 606, 1271, 1909, 538, 5042, 8647, 543, 568, 5732, 21443, 762, 547, 2126, 269, 4475, 267, 649, 2832, 547, 2263, 519, 7271, 5817, 519, 4389, 13526, 4288, 538, 667, 13270, 563, 25332, 969, 1049, 1353, 269, 1284, 2022, 3634, 602, 2901, 19548, 1313, 648, 326, 1637, 568, 22841, 610, 11528, 1973, 2604, 568, 4389, 538, 667, 13270, 269, 1677, 1449, 891, 19165, 649, 786, 946, 513, 1079, 9912, 1935, 281, 630, 272, 264, 649, 786, 2708, 519, 3210, 547, 9647, 739, 1738, 1689, 1210, 6024, 10489, 31424, 28576, 16980, 630, 307, 7374, 264, 543, 9416, 5418, 628, 903, 332, 2762, 547, 6895, 11528, 543, 19548, 1973, 2095, 6991, 1282, 2212, 5346, 28550, 630, 295, 7473, 1070, 630, 273, 264, 649, 786, 22945, 6237, 19548, 1973, 2095, 1210, 18909, 1282, 16889, 2175, 543, 1282, 1079, 1114, 4247, 267, 835, 5179, 4830, 1449, 602, 1152, 9072, 519, 3308, 16794, 267, 543, 835, 5042, 13455, 3007, 4305, 602, 3322, 2789, 2634, 4525, 547, 1353, 6237, 2242, 538, 19548, 1313, 648, 326, 1637, 563, 763, 3119, 2832, 568, 547, 1353, 952, 11528, 610, 19548, 2746, 2032, 538, 667, 13270, 2550, 15320, 689, 2635, 2085, 2173, 520, 3481, 8060, 267, 547, 3313, 2436, 19548, 1313, 648, 326, 1637, 610, 11528, 1973, 2604, 896, 15533, 519, 4389, 19548, 13526, 4288, 538, 667, 13270, 269, 634, 6281, 2832, 568, 547, 1353, 952, 2242, 538, 19548, 1313, 648, 326, 1637, 616, 6237, 610, 2518, 538, 2470, 563, 19226, 534, 857, 1359, 281, 667, 1075, 1156, 928, 9977, 5741, 634, 13814 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4862, 596, 941, 1565, 827, 2371, 538, 27425, 269, 2334, 781, 3579, 256, 1684, 596, 917, 799, 2030, 649, 666, 1265, 10876, 538, 27425, 2496, 7692, 281, 3143, 267, 594, 1810, 1405, 269, 6904, 835, 568, 621, 2496, 8334, 281, 898, 781, 1572, 18409, 269, 901, 2030, 814, 930, 2027, 2934, 602, 948, 621, 7639, 538, 1114, 2175, 269, 1280, 1383, 267, 922, 6565, 610, 1412, 1529, 332, 262, 666, 1332, 909, 547, 476, 9610, 17744, 7381, 256, 5994, 952, 649, 1185, 513, 2030, 607, 7381, 607, 938, 1153, 2679, 2439, 7692, 281, 5808, 320, 267, 602, 1131, 581, 5458, 256, 1809, 9327, 1405, 621, 2887, 936, 1317, 621, 781, 1932, 7381, 2496, 8334, 281, 6153, 2243, 256, 24511, 267, 713, 2030, 814, 2178, 5072, 543, 13888, 11710, 865, 621, 3085, 1405, 3362, 2887, 1524, 1256, 950, 621, 781, 1360, 7381, 269, 3807, 899, 721, 267, 2348, 1434, 3666, 2337, 721, 1796, 2786, 543, 7381, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1656, 1018, 827, 1346, 3762, 286, 1358, 3280, 4277, 780, 8334, 281, 8786, 267, 789, 616, 256, 3962, 6978, 814, 513, 3039, 18916, 4881, 2059, 922, 3259, 269, 1411, 666, 1589, 540, 621, 899, 707, 1378, 1688, 910, 972, 616, 3515, 2469, 2066, 707, 13869, 602, 948, 4163, 1973, 547, 1114, 2694, 269, 6684, 267, 891, 3039, 15532, 4163, 1216, 543, 5567, 2429, 519, 6978, 780, 7692, 281, 15346, 256, 1548, 4523, 952, 519, 2030, 3085, 1405, 1205, 2614, 1216, 2496, 8334, 281, 3973, 1175, 899, 721, 3478, 13204, 3603, 267, 519, 2030, 849, 23119, 269, 4706, 3762, 949, 2490, 5835, 610, 27315, 1540, 269, 1924, 267, 4758, 1697, 1416, 543, 14450, 5781, 5849, 519, 2030, 13978, 2635, 543, 9428, 1134, 780, 7692, 281, 24439, 2631, 269, 1215, 1281, 713, 2030, 3262, 5452, 1472, 2496, 8334, 281, 4270, 267, 1310, 15496, 267, 519, 2030, 7472, 1945, 1572, 26389, 5627, 6263, 5452, 3330, 8825, 3382, 902, 1572, 829, 580, 2106, 807, 269, 1879, 22691, 267, 891, 2370, 15004, 1205, 24797, 676, 2842, 610, 1216, 267, 4543, 519, 2030, 16196, 543, 1402, 3634, 811, 2127, 780, 7692, 281, 26272, 267, 2470, 568, 4241, 256, 8729, 585, 7713, 782, 713, 267, 7705, 780, 8334, 281, 3143, 1966, 693, 782, 267, 7585, 256, 4197, 875, 2371, 2661, 11414, 721, 3407, 4245, 827, 6043, 267, 2208, 267, 543, 12391, 585, 1866, 269, 9578, 267, 945, 6487, 950, 6616, 827, 513, 2462, 10153, 262, 2030, 1522, 2097, 538, 13561, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1638, 269, 8776, 9445, 15636, 269, 11833, 476, 5392, 281, 476, 32699, 269, 476, 4572, 274, 563, 5522, 1218, 29822, 524, 525, 335, 527, 846, 269, 26943, 916, 476, 1789, 1700, 6344, 263, 1700, 9610, 264, 4699, 282, 3543, 894, 7583, 916, 609, 1906, 3762, 7265, 1229, 693, 30085, 269, 27817, 281, 1352, 23411, 740, 1314, 6053, 17736, 545, 28204, 3039, 268, 557, 1441, 5176, 547, 27897, 267, 609, 513, 7522, 1728, 13824, 6512, 610, 8325, 962, 11057, 1728, 13824, 3148, 693, 27897, 282, 740, 1314, 6053, 6109, 267, 14805, 1080, 772, 11057, 267, 29656, 13099, 650, 846, 282, 30218, 14270, 2737, 476, 272, 269, 279, 1700, 275, 269, 275, 263, 1700, 277, 264, 6515, 282, 19059, 476, 273, 1700, 275, 263, 1700, 277, 264, 829, 15417, 7583, 332, 267, 476, 279, 1700, 1789, 4699, 6398, 476, 273, 1700, 275, 269, 276, 6515, 269, 769, 4148, 2803, 322, 1878, 13008, 16245, 267, 2356, 1930, 267, 3039, 547, 6960, 267, 476, 272, 1700, 275, 269, 276, 263, 1700, 277, 264, 4699, 6398, 476, 276, 1700, 1691, 6515, 282, 9938, 2711, 2028, 1712, 476, 272, 1700, 1691, 6515, 282, 476, 273, 323, 2028, 1712, 476, 274, 1700, 279, 6515, 282, 9938, 2711, 536, 847, 338, 9470, 601, 833, 267, 1419, 609, 1490, 16824, 4388, 269, 1975, 10105, 476, 274, 1700, 1015, 267, 3982, 267, 14248, 760, 810, 573, 547, 9065, 1355, 267, 476, 277, 1700, 1724, 263, 1700, 1704, 264, 6398, 476, 274, 269, 279, 1700, 278, 6515, 267, 3490, 17031, 610, 1073, 339, 2224, 267, 30085, 1073, 339, 2224, 547, 17618, 8650, 282, 588, 3133, 622, 6712, 476, 273, 6515, 610, 1447, 269, 623, 626, 650, 622, 10253, 3043, 268, 1506, 13824, 267, 4742, 12779, 3623, 854, 6960, 609, 2085, 267, 609, 12779, 610, 3039, 4099, 267, 17618, 561, 766, 25544, 267, 476, 273, 269, 273, 1700, 274, 269, 278, 6515, 267, 10156, 543, 7522, 518, 982, 829, 580, 2106, 807, 267, 30085, 1073, 339, 2224, 269, 3131, 580, 2106, 807, 813, 5962, 268, 2444, 2056, 267, 3039, 547, 1951, 321, 6960, 267, 17736, 545, 28204, 476, 276, 1700, 28236, 268, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 12144, 1299, 4639, 28851, 1315, 27425, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 303, 5425, 14112, 585, 2123, 10618, 3028, 267, 519, 772, 2529, 269, 8549, 18058, 8189, 630, 293, 6717, 264, 2165, 1031, 547, 4766, 513, 1305, 540, 3059, 10408, 4066, 1373, 18611, 538, 519, 772, 2529, 269, 4746, 5219, 547, 607, 3059, 10408, 267, 623, 5425, 1568, 936, 7131, 7246, 630, 10193, 1572, 4959, 268, 4817, 1070, 717, 15551, 267, 543, 3345, 1977, 570, 291, 7246, 630, 10193, 1572, 4959, 268, 15793, 264, 2011, 17103, 269, 8422, 540, 519, 1034, 1271, 23243, 2934, 540, 623, 5425, 1949, 616, 912, 268, 1358, 616, 4625, 3059, 454, 268, 1358, 7500, 693, 519, 476, 5002, 271, 300, 13703, 4908, 2039, 630, 684, 3697, 824, 10408, 1949, 602, 7500, 538, 519, 476, 8517, 300, 13703, 4908, 2039, 994, 268, 1358, 666, 581, 1031, 18368, 454, 303, 5425, 568, 513, 2034, 22831, 5985, 10618, 2029, 563, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 16158, 31638, 781, 2875, 8924, 5180, 1575, 786, 948, 596, 547, 1732, 10891, 707, 1362, 8430, 543, 3251, 593, 1283, 540, 10467, 543, 6780, 269, 3367, 2859, 9732, 736, 18467, 547, 10374, 523, 513, 15745, 454, 2252, 596, 991, 547, 2110, 523, 513, 1279, 15745, 2119, 713, 1592, 540, 476, 736, 1863, 2228, 2699, 3925, 2533, 269, 3367, 2859, 9732, 12749, 476, 1015, 15306, 16301, 540, 476, 1001, 276, 454, 763, 1034, 2442, 5680, 31638, 8847, 540, 476, 1001, 276, 269, 3367, 2859, 19314, 1607, 5680, 31638, 1353, 3391, 6257, 519, 1114, 2694, 540, 513, 2780, 1062, 543, 741, 1894, 269, 3367, 2859, 9732, 15187, 1740, 26386, 5530, 6651, 454, 15187, 11529, 17950, 11414, 519, 2679, 7161, 540, 2413, 3060, 1374, 269, 6258, 1114, 2010, 540, 5121, 267, 2035, 267, 6189, 543, 1862, 3367, 2859, 9732, 763, 12866, 9198, 725, 540, 23675, 454, 9596, 827, 1142, 540, 519, 2947, 5481, 540, 5904, 543, 2101, 2029, 7835, 602, 723, 3366, 547, 519, 1699, 3457, 602, 649, 946, 2221, 269, 3367, 2859, 9732 ]

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

[ 0, 8698, 4653, 781, 21480, 454, 763, 20570, 4741, 568, 519, 7467, 779, 14266, 2966, 585, 1453, 267, 4332, 547, 476, 279, 1296, 267, 543, 741, 15637, 269, 20570, 4741, 5234, 543, 13538, 1489, 1762, 1453, 543, 741, 15637, 676, 2502, 538, 13241, 630, 16631, 5303, 7177, 4569, 264, 1644, 2238, 267, 6901, 543, 7391, 269, 3776, 13538, 4217, 8436, 607, 789, 2263, 1483, 3615, 630, 3697, 7633, 610, 15455, 264, 689, 519, 7467, 779, 4015, 267, 946, 2257, 2645, 630, 3697, 10398, 22863, 610, 3172, 4328, 14485, 1070, 543, 1451, 998, 27642, 1404, 538, 938, 21044, 15225, 269, 21816, 17621, 3705, 1562, 616, 3177, 2866, 538, 2553, 585, 2502, 8436, 538, 2085, 29003, 13241, 1565, 267, 607, 1134, 607, 538, 513, 2647, 2039, 540, 1543, 2127, 630, 10175, 7350, 267, 7998, 267, 6323, 267, 543, 20569, 1040, 3776, 3804, 568, 547, 948, 1453, 1020, 741, 6932, 2257, 543, 4702, 1983, 267, 543, 948, 2937, 15637, 1732, 1174, 519, 3621, 1353, 540, 1126, 1646, 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 ]

[ 0, 258, 476, 20881, 496, 25051, 496, 420, 370, 483, 28793, 8147, 420, 377, 361, 20992, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 454, 5035, 8827, 912, 825, 1219, 1003, 307, 4181, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 952, 711, 562, 912, 2018, 2132, 476, 271, 454, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2652, 476, 273, 912, 2018, 2132, 476, 273, 454, 1038, 1948, 17276, 510, 373, 29004, 362, 26266, 355, 9463, 367, 31878, 21550, 495, 7511, 420, 488, 480, 30536, 21550, 495, 13213, 505, 27310, 18777, 350, 28997, 501, 454, 1038, 31185, 815, 1496, 271, 316, 2608, 630, 333, 1341, 476, 272, 994, 1038, 31185, 314, 271, 3910, 31185, 314, 272, 3910, 31185, 314, 273, 316, 815, 476, 271, 267, 476, 272, 267, 476, 273, 692, 1038, 585, 1775, 538, 2039, 263, 274, 267, 562, 1341, 476, 272, 2187, 2018, 1948, 476, 20069, 22047, 31878, 21550, 495, 420, 488, 480, 30536, 12255, 20992, 271, 454, 2018, 31575, 815, 476, 273, 2608, 31185, 5157, 910, 476, 272, 2639, 2018, 1948, 476, 31878, 21550, 495, 420, 488, 480, 30536, 12255, 421, 25693, 21251, 20992, 271, 454, 2018, 585, 795, 538, 2039, 263, 272, 267, 1775, 910, 476, 272, 2187, 3546, 31575, 6834, 31185, 14728, 316, 2608, 31185, 5157, 910, 795, 910, 476, 272, 2639, 2018, 31185, 5157, 316, 815, 31575, 692, 1038, 2132, 31185, 19559, 2639 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1715, 9906, 781, 13129, 4518, 270, 14503, 648, 1338, 454, 293, 3271, 12664, 775, 267, 513, 2749, 540, 7977, 543, 3854, 540, 519, 11662, 540, 23509, 630, 27852, 333, 2763, 1070, 568, 13883, 538, 519, 14860, 540, 519, 1488, 7224, 269, 634, 11662, 540, 9605, 333, 2763, 814, 606, 1858, 540, 476, 273, 267, 25228, 4009, 5195, 267, 609, 513, 2551, 540, 476, 4200, 276, 267, 271, 4366, 269, 634, 10661, 1934, 538, 476, 5908, 275, 543, 476, 5908, 276, 540, 519, 10160, 540, 519, 7969, 2229, 729, 519, 1797, 540, 2810, 519, 2749, 547, 5176, 5595, 922, 5449, 6708, 269, 634, 8783, 2679, 538, 519, 2749, 568, 519, 26720, 267, 519, 13210, 540, 799, 941, 9788, 538, 476, 15782, 279, 282, 1247, 538, 476, 6642, 278, 519, 8737, 2679, 729, 20114, 609, 1390, 533, 20234, 538, 519, 4527, 540, 519, 7969, 19988, 338, 269, 634, 26434, 6039, 7812, 19664, 334, 607, 513, 2203, 585, 853, 269, 8834, 781, 269, 634, 5939, 3568, 18810, 676, 7812, 19664, 334, 543, 824, 4583, 5159, 269, 1703, 616, 1082, 824, 3946, 727, 13039, 538, 23509, 267, 5627, 513, 5763, 540, 10367, 543, 17001, 269, 7324, 519, 4583, 5493, 2167, 616, 19129, 645, 1173, 10314, 267, 966, 1815, 577, 1470, 267, 6178, 18319, 267, 772, 742, 714, 328, 267, 623, 8636, 328, 267, 26548, 15258, 328, 543, 853, 549, 3960, 328, 269, 634, 623, 8636, 328, 19289, 3568, 519, 3084, 5399, 267, 609, 476, 1220, 267, 1822, 12531, 543, 476, 1015, 267, 1822, 22251, 267, 543, 519, 4583, 19953, 660, 710, 19922, 540, 1148, 267, 11423, 476, 2537, 11623, 269, 634, 2749, 540, 23509, 16204, 836, 8385, 689, 674, 625, 1961, 267, 693, 519, 3723, 540, 799, 621, 6013, 6905, 269, 769, 519, 476, 1556, 628, 2540, 621, 729, 581, 4302, 520, 1117, 547, 15352, 27068, 23446, 267, 543, 267, 896, 519, 4027, 540, 7507, 267, 2968, 513, 2749, 540, 2956, 269, 1635, 476, 10219, 271, 621, 1185, 1831, 835, 540, 519, 1101, 4872, 540, 7977, 543, 4371, 922, 1747, 585, 1082, 1296, 269, 769, 476, 16328, 279, 519, 3109, 2669, 5645, 1055, 476, 1911, 267, 1822, 540, 519, 2749, 781, 11317, 269, 769, 476, 13923, 280, 519, 2749, 729, 14850, 773, 3022, 676, 606, 7952, 896, 519, 5918, 651, 540, 21060, 543, 267, 8593, 4119, 269, 476, 279, 267, 476, 14631, 271, 269, 2991, 519, 11156, 540, 519, 8087, 10806, 540, 7977, 267, 23509, 4371, 519, 2990, 540, 1008, 29850, 3854, 689, 476, 5908, 275, 547, 476, 6942, 272, 269, 4706, 2551, 568, 827, 476, 25375, 267, 1822, 269, 769, 1148, 23509, 6585, 513, 2189, 1747, 267, 519, 19953, 660, 710, 1153, 1373, 519, 1034, 1271, 538, 7977, 269, 769, 3332, 922, 2990, 568, 15991, 1447, 1271, 267, 607, 568, 1140, 6479, 676, 519, 4408, 540, 667, 14397, 543, 645, 11484, 18153, 334, 269, 6423, 11427, 267, 9986, 13023, 656, 781, 634, 631, 5474, 540, 23509, 282, 15570, 7219, 781, 631, 1941, 902, 538, 23509, 282, 6723, 18379, 582, 781, 7931, 7637, 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 ]

[ 0, 3698, 3193, 273, 3287, 267, 586, 2187, 825, 952, 1535, 3436, 586, 912, 1038, 2132, 1535, 454, 825, 2132, 586, 7531, 3698, 3193, 274, 3287, 267, 586, 267, 1990, 2187, 825, 2132, 3193, 273, 3287, 267, 3193, 273, 12169, 267, 1990, 264, 9239, 2745, 32384, 273, 263, 276, 267, 476, 280, 4917, 2745, 32384, 274, 263, 6507, 267, 476, 1015, 267, 476, 7597, 4917 ]

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

[ 0, 2710, 596, 917, 1946, 596, 666, 25920, 2066, 4672, 286, 898, 779, 711, 1317, 4672, 568, 31868, 2044, 269, 9400, 19264, 13427, 543, 13744, 5500, 29928, 6542, 519, 2257, 3297, 4672, 1236, 908, 1247, 3843, 547, 2226, 741, 3666, 2336, 414, 508, 350, 4427, 18285, 281, 5291, 2517, 4226, 269, 569, 21610, 520, 10481, 334, 29771, 454, 10666, 594, 9894, 333, 1406, 5700, 2334, 912, 10521, 4853, 3744, 267, 9400, 19264, 13427, 543, 13744, 5500, 29928, 267, 2491, 519, 2257, 3297, 4948, 1272, 2507, 689, 17196, 9065, 839, 547, 25588, 513, 9114, 18785, 563, 7476, 2859, 2817, 22127, 912, 302, 24810, 13505, 281, 5291, 2517, 4226, 269, 569, 21610, 520, 10481, 334, 302, 24810, 306, 924, 454, 10666, 2817, 22127, 912, 13233, 22127, 568, 519, 1158, 779, 14167, 10278, 585, 2257, 267, 3408, 267, 543, 7045, 269, 3414, 741, 1158, 11665, 3744, 267, 21706, 267, 20859, 267, 543, 32349, 267, 14844, 2983, 334, 4991, 596, 6251, 547, 519, 2984, 602, 2339, 543, 2250, 519, 6316, 540, 1018, 779, 2009, 563, 763, 3163, 19992, 10979, 4787, 908, 1923, 594, 9894, 333, 1406, 5700, 2334 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1032, 649, 1665, 513, 1298, 32418, 540, 519, 12176, 540, 2622, 2782, 594, 269, 901, 2680, 568, 5702, 1644, 547, 938, 1888, 281, 519, 4098, 540, 4436, 13567, 540, 519, 4425, 1335, 1014, 14924, 538, 4728, 476, 4350, 280, 269, 1677, 1246, 519, 6090, 529, 540, 713, 6935, 649, 1590, 979, 1394, 547, 519, 7671, 31060, 966, 528, 1706, 331, 3512, 538, 476, 7277, 279, 269, 2334, 9872, 729, 5275, 606, 2626, 547, 519, 2243, 1018, 1131, 513, 19618, 5125, 1413, 899, 267, 2436, 621, 1131, 581, 968, 19136, 892, 610, 968, 22102, 6100, 634, 1101, 2856, 540, 4436, 6239, 2342, 7902, 538, 519, 10206, 540, 14600, 974, 548, 1755, 11985, 269, 634, 16586, 267, 607, 519, 4589, 540, 519, 2856, 5156, 543, 9070, 730, 267, 941, 13886, 547, 519, 3056, 1909, 538, 602, 1858, 19962, 547, 741, 10340, 267, 2686, 543, 2804, 15657, 269, 6270, 513, 1804, 267, 6239, 7232, 2202, 17253, 5125, 729, 849, 519, 2832, 540, 519, 14181, 564, 1263, 9007, 3084, 1235, 543, 741, 4655, 609, 519, 16231, 3609, 538, 15212, 729, 3976, 12592, 811, 2520, 641, 7035, 1227, 982, 1175, 607, 513, 968, 332, 699, 892, 6803, 4655, 269, 14600, 974, 548, 1755, 11985, 27648, 5125, 779, 1292, 2112, 3804, 538, 519, 3689, 2622, 2782, 267, 607, 9863, 676, 4515, 269, 674, 761, 345, 674, 29531, 538, 1010, 5458, 960, 602, 4436, 12206, 267, 3226, 1346, 540, 4587, 5108, 267, 7620, 10353, 267, 543, 1256, 554, 730, 269, 634, 13567, 540, 4425, 1335, 1014, 14924, 676, 5125, 538, 4728, 476, 4350, 280, 27648, 835, 540, 519, 1007, 11271, 540, 519, 14600, 974, 548, 1755, 11985, 5741, 7550, 543, 8045, 676, 519, 21647, 269, 898, 729, 9277, 547, 581, 6905, 543, 1331, 782, 1715, 2342, 6417, 676, 873, 269, 4706, 3140, 6090, 529, 1590, 711, 2887, 883, 21933, 643, 542, 267, 607, 1510, 621, 606, 1271, 851, 540, 7778, 540, 519, 3123, 267, 2631, 543, 2621, 540, 519, 476, 1428, 4728, 476, 4350, 280, 1131, 581, 7508, 269, 2552, 18556, 2456, 666, 1745, 621, 267, 12206, 1058, 2697, 621, 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 ]

[ 0, 7212, 519, 8360, 6980, 13204, 15249, 1978, 4992, 513, 3787, 7294, 267, 855, 538, 4641, 1082, 540, 721, 723, 10057, 713, 2186, 540, 1426, 3688, 1317, 6502, 269, 670, 13273, 512, 596, 1185, 4453, 338, 267, 986, 529, 1231, 607, 1134, 607, 585, 602, 19160, 929, 17480, 543, 3284, 878, 1824, 286, 15020, 1134, 789, 616, 10416, 5613, 602, 723, 1044, 13204, 3603, 865, 607, 547, 5352, 873, 1279, 2063, 269, 1924, 267, 10416, 13204, 7992, 519, 1426, 568, 2356, 547, 5818, 519, 15808, 6228, 689, 519, 6980, 1317, 1271, 6712, 540, 602, 568, 3274, 1175, 1216, 269, 4826, 5787, 919, 519, 1576, 540, 2962, 540, 1426, 9178, 543, 7512, 519, 1646, 540, 4551, 269, 2521, 856, 519, 3095, 5291, 2517, 5886, 1723, 25988, 1372, 5139, 15249, 269, 933, 20623, 569, 2593, 28918, 1809, 950, 621, 568, 2965, 13204, 3603, 621, 1522, 581, 12873, 547, 1205, 513, 6905, 942, 269, 2423, 17067, 18024, 540, 6980, 729, 5645, 856, 6923, 676, 10825, 519, 18233, 543, 2569, 6980, 1282, 519, 3141, 269, 901, 2731, 568, 19038, 585, 9634, 602, 4755, 547, 581, 18519, 519, 1747, 972, 568, 6157, 3665, 7509, 4930, 1247, 538, 519, 2011, 563, 9827, 3141, 15018, 568, 1419, 513, 3339, 5650, 602, 3112, 581, 5340, 2899, 519, 2916, 4713, 616, 711, 15028, 585, 602, 2014, 649, 723, 1631, 1426, 13204, 21116, 602, 1281, 519, 2816, 540, 3478, 7759, 540, 3063, 7509, 998, 519, 3536, 676, 20392, 621, 547, 513, 7928, 543, 11931, 2837, 609, 2011, 2095, 547, 2327, 602, 519, 1426, 786, 1205, 3144, 1416, 540, 2489, 563, 288, 1426, 13204, 15249, 666, 581, 8246, 1312, 29143, 1227, 543, 20749, 269, 1411, 1223, 2149, 782, 12204, 540, 5613, 10448, 543, 1256, 11922, 538, 621, 799, 666, 581, 10375, 569, 1031, 950, 789, 979, 856, 540, 4005, 269, 1851, 519, 1592, 540, 4909, 3390, 547, 1205, 3144, 883, 7156, 568, 621, 11129, 547, 581, 6534, 593, 519, 1697, 2837, 547, 2327, 602, 519, 7509, 568, 17515, 689, 707, 3536, 6221, 1282, 519, 5078, 6073, 269, 898, 568, 513, 3500, 5650, 543, 596, 1058, 711, 8263, 621, 547, 581, 8737, 6385, 269, 901, 666, 581, 3500, 568, 2356, 547, 581, 1978, 602, 519, 7509, 1543, 1570, 568, 17515, 1256, 689, 519, 3330, 593, 519, 3536, 6221, 269, 4746, 2362, 2837, 786, 1152, 1118, 519, 6980, 979, 9157, 689, 13964, 1498, 621, 1131, 4163, 593, 547, 581, 972, 827, 519, 1369, 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, 299, 31631, 2177, 2443, 12697, 547, 4786, 519, 3003, 5836, 6989, 676, 476, 10711, 271, 616, 2469, 6619, 5103, 519, 2591, 540, 519, 11452, 6433, 267, 8387, 3056, 519, 1788, 1767, 267, 609, 3592, 513, 11359, 4988, 865, 2484, 563, 14722, 2161, 519, 27177, 540, 519, 5836, 6989, 568, 1447, 1134, 1634, 982, 519, 7252, 540, 9370, 267, 22358, 610, 19026, 543, 602, 5750, 532, 519, 3178, 543, 3337, 540, 519, 26026, 539, 786, 948, 1174, 519, 1764, 12084, 723, 593, 519, 3618, 779, 2916, 563, 339, 777, 1934, 547, 1294, 824, 7044, 689, 938, 2319, 563, 2026, 519, 1158, 779, 5836, 4346, 9428, 538, 4947, 1296, 267, 1239, 786, 849, 581, 4105, 547, 5818, 1702, 540, 7286, 8134, 543, 7286, 1272, 607, 1134, 607, 2104, 1426, 3761, 3270, 563, 5353, 629, 539, 476, 10711, 271, 267, 799, 568, 2324, 547, 3142, 1927, 782, 2139, 8602, 2096, 13011, 1239, 547, 3132, 513, 3102, 4786, 1767, 593, 10732, 602, 519, 1858, 25528, 1185, 24111, 689, 476, 1428, 260, 547, 476, 866, 260, 538, 519, 2063, 1032, 267, 689, 1152, 476, 277, 260, 950, 519, 11036, 3459, 538, 476, 1001, 278, 563, 2108, 7021, 519, 1985, 1032, 267, 649, 18783, 2147, 2157, 540, 1239, 7418, 998, 23190, 540, 21287, 1570, 543, 267, 607, 5046, 9993, 705, 622, 267, 1007, 1239, 689, 12220, 267, 9635, 1098, 1080, 543, 15624, 27126, 2223, 1788, 8689, 16092, 5062, 28061, 268, 4942, 650, 2354, 5143, 1234, 26407, 538, 8292, 547, 14626, 728, 609, 2622, 10281, 5766, 1429, 344, 4303, 269 ]

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

[ 0, 5194, 32263, 3018, 538, 13491, 20445, 2336, 1103, 1148, 267, 649, 19927, 827, 10906, 717, 1077, 543, 2813, 938, 1378, 2458, 1137, 6273, 676, 1200, 11247, 269, 769, 2257, 649, 5941, 17571, 267, 15559, 267, 543, 575, 13293, 543, 1287, 19500, 856, 1373, 1142, 1533, 540, 2339, 563, 2171, 723, 3323, 547, 2263, 4390, 543, 2527, 538, 13004, 543, 1336, 621, 4101, 693, 1101, 855, 649, 616, 4358, 547, 1205, 621, 269, 769, 2296, 267, 649, 1031, 11918, 4580, 547, 1265, 5013, 827, 519, 2916, 6433, 547, 948, 721, 2328, 5022, 1985, 3018, 563, 2171, 849, 13736, 938, 1983, 593, 15072, 538, 7384, 609, 11427, 717, 584, 2284, 269, 1284, 7307, 547, 1118, 1614, 1114, 3197, 1847, 538, 519, 813, 256 ]

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

[ 0, 300, 1897, 540, 1895, 534, 4519, 6965, 519, 9390, 539, 2777, 519, 9390, 539, 2777, 267, 519, 10584, 18459, 512, 3317, 903, 517, 264, 941, 18674, 676, 1200, 1702, 540, 519, 1568, 540, 519, 519, 16750, 799, 729, 15400, 630, 9917, 2899, 3576, 851, 538, 513, 521, 2946, 766, 609, 620, 15728, 269, 634, 9390, 539, 2777, 676, 10564, 620, 15728, 18459, 512, 3317, 903, 517, 1272, 543, 2219, 723, 8854, 2476, 2427, 676, 2427, 267, 682, 822, 269, 21238, 18459, 512, 3317, 903, 517, 521, 6648, 513, 24214, 6202, 6780, 4081, 1603, 3028, 1010, 6648, 15385, 519, 3046, 267, 606, 13423, 7469, 540, 12204, 513, 24214, 6202, 519, 9390, 539, 2777, 563, 4517, 1265, 6780, 948, 585, 824, 620, 15728, 267, 18459, 512, 3317, 903, 517, 2055, 693, 679, 4925, 538, 2543, 547, 512, 3317, 903, 517, 781, 6648, 519, 9390, 539, 2777, 267, 835, 630, 514, 1931, 547, 1106, 513, 563, 2108, 810, 649, 3513, 979, 1100, 811, 513, 887, 1324, 5608, 676, 18459, 676, 1258, 630, 613, 5282, 575, 20423, 264, 9890, 676, 986, 1597, 571, 9109, 1923, 5104, 569, 476, 276, 519, 9390, 539, 2777, 676, 620, 15728, 512, 3317, 903, 517, 1272, 543, 563, 22437, 2114, 267, 676, 620, 15728, 512, 3317, 903, 517, 267, 729, 513, 1079, 31891, 476, 7277, 273, 4015, 538, 799, 1007, 519, 9390, 539, 2777, 568, 513, 6648, 2854, 676, 620, 15728, 18459, 512, 3317, 903, 517, 538, 476, 8146, 271, 11783, 14730, 2777, 267, 676, 799, 2899, 811, 1775, 521, 538, 8357, 3554, 513, 554, 554, 281, 476, 7761, 1567, 652, 23524, 3976, 835, 540, 519, 8783, 7506, 538, 620, 15728, 18459, 512, 3317, 903, 517, 781, 1272, 729, 818, 11037, 10689, 2006, 563, 299, 867, 620, 15728, 512, 3317, 903, 517, 267, 620, 15728, 18459, 512, 3317, 903, 517, 267, 325, 13904, 10564, 267, 9954, 267, 6965, 543, 519, 1554, 1673, 3195, 267, 11428, 1629, 2678, 543, 829, 572, 7483, 267, 519, 9390, 539, 2777, 11783, 31888, 676, 620, 15728, 512, 3317, 903, 517, 7005, 10564, 740, 5202, 16822, 542, 519, 9390, 539, 2777, 513, 546, 597, 613, 513, 5326, 540, 4023, 561, 27482, 25437, 2917, 10689, 519, 18459, 540, 3276, 548, 662, 563, 16240, 538, 476, 7277, 273, 547, 1010, 3659, 620, 15728, 546, 2210, 339, 267, 945, 1185, 32164, 3603, 547, 543, 1412, 1492, 11688, 704, 1938, 262, 1107, 543, 519, 1412, 9188, 1068, 539, 2777, 262, 1107, 543, 1412, 22336, 2251, 602, 568, 269, 634, 2038, 1296, 540, 620, 15728, 267, 18459, 512, 3317, 903, 517, 267, 2705, 267, 616, 1259, 1055, 519, 5339, 15805, 649, 2811, 538, 1474, 619, 2421, 267, 513, 18296, 540, 476, 1556, 8075, 2282, 24076, 538, 694, 7672, 14252, 267, 3504, 3618, 4103, 543, 9390, 539, 13039, 909, 6371, 344, 13475, 269, 634, 9390, 539, 2777, 676, 620, 15728, 512, 3317, 903, 517, 267, 476, 272, 560, 3046, 517, 1196, 24792, 804, 732, 1338, 588, 539, 2006, 267, 1196, 476, 6245, 276, 513, 4619, 20187, 16320, 1108, 267, 476, 8146, 278, 268, 6245, 276, 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 ]

[ 0, 8802, 3588, 10606, 543, 18023, 1559, 563, 11847, 8793, 6356, 528, 282, 26268, 821, 454, 27839, 1154, 1448, 267, 11019, 290, 454, 12739, 910, 476, 10204, 454, 295, 1794, 1841, 543, 10466, 563, 16605, 17401, 6806, 563, 310, 792, 1582, 8410, 22633, 7244, 17102, 267, 12285, 25192, 267, 543, 5230, 12285, 17309, 563, 306, 933, 788, 909, 267, 1747, 538, 513, 9126, 543, 3180, 585, 3653, 12871, 269, 3680, 9870, 7452, 269, 20764, 30968, 1858, 543, 11547, 21383, 3135, 1310, 1570, 4584, 1575, 568, 2347, 563, 1805, 762, 693, 3339, 5210, 543, 12503, 563, 1805, 3994, 12444, 1944, 8069, 563, 27793, 24785, 267, 12539, 8166, 563, 15761, 3907, 880, 1210, 4826, 10936, 269, 12539, 8166, 267, 3819, 3114, 8869, 267, 610, 3617, 17371, 269, 23203, 1582, 8410, 22633, 7244, 17102, 543, 8825, 7802, 547, 2061, 3346, 609, 2960, 543, 4064, 563, 10387, 1080, 6757, 32669, 896, 3595, 2175, 563, 295, 1301, 995, 269, 17290, 2963, 540, 513, 15910, 8328, 1198, 269, 667, 9734, 540, 3978, 3441, 547, 1072, 676, 12675, 4598, 269, 27010, 1418, 4433, 2567, 3115, 8793, 1062, 269, 2836, 604, 269, 11330, 269, 476, 4792, 10285, 9651, 563, 9802, 581, 5739, 952, 15179, 539, 563, 300, 1468, 949, 581, 8886, 908, 547, 29935, 17011, 543, 5580, 7929, 8778, 269, 2904, 581, 5739, 952, 31067, 563, 9802, 2014, 2960, 16698, 269, 2904, 581, 5739, 952, 12842, 998, 519, 2960, 563, 9802, 2014, 3750, 16698, 563, 2252, 15179, 539, 267, 11547, 856, 5023, 609, 1216, 3177, 1268, 568, 6857, 269, 11910, 513, 10629, 563, 2252, 31067, 267, 4894, 547, 4195, 2011, 269, 1403, 711, 7244, 2285, 5841, 19344, 269, 1403, 7244, 568, 2352, 267, 2285, 5135, 563, 1103, 2013, 540, 2960, 3346, 267, 23574, 609, 2941, 1190, 5666, 540, 1216, 585, 693, 2547, 476, 1428, 3764, 269, 17179, 13572, 7802, 543, 10887, 269, 11910, 513, 10629, 563, 1103, 2013, 540, 3346, 609, 4064, 267, 23574, 609, 2941, 1190, 5666, 540, 1216, 585, 693, 2547, 476, 1428, 3764, 269, 2667, 675, 7850, 1166, 5241, 676, 19459, 519, 22442, 1749, 609, 11263, 269, 11910, 513, 10629, 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 ]

[ 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 327, 342, 1556, 1606, 565, 692, 258, 554, 342, 1556, 1606, 565, 910, 8525, 476, 272, 589, 2798, 8791, 476, 866, 269, 272, 9046, 476, 273, 5416, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 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, 8525, 476, 272, 12143, 476, 1556, 476, 1911, 2798, 8791, 476, 866, 269, 272, 9046, 476, 273, 2433, 630, 320, 264, 15474, 282, 630, 321, 264, 20134, 282, 630, 322, 264, 20023, 282, 630, 323, 264, 20023, 282, 630, 324, 264, 20023, 269, 9046, 476, 1321, 2433, 519, 13551, 6013, 538, 519, 7077, 7790, 1341, 476, 273, 7790, 815, 476, 273, 1547, 1924, 476, 273, 1341, 568, 513, 3339, 6152, 543, 476, 272, 476, 276, 630, 273, 1341, 3738, 568, 513, 1770, 3339, 6152, 269, 4595, 713, 1448, 568, 538, 1312, 2318, 1535, 1673, 3925, 543, 519, 2318, 1990, 1673, 3925, 267, 621, 568, 606, 10066, 585, 713, 2627, 269, 4595, 519, 1858, 540, 519, 13551, 568, 476, 276, 2073, 649, 723, 815, 476, 273, 1341, 543, 7790, 815, 476, 273, 1341, 476, 274, 7790, 1341, 476, 276, 476, 273, 1341, 815, 476, 280, 1547, 9046, 476, 2190, 2433, 7790, 286, 815, 815, 5430, 815, 476, 277, 815, 476, 277, 476, 275, 476, 273, 476, 273, 815, 476, 9834, 8791, 476, 866, 269, 273, 9046, 476, 273, 2433, 7790, 1341, 7790, 815, 7790, 1341, 7790, 630, 476, 274, 1341, 7790, 1341, 3738, 7790, 476, 272, 476, 273, 815, 476, 274, 7790, 1341, 7790, 476, 272, 476, 273, 815, 476, 272, 9046, 476, 1321, 2433, 815, 7790, 1341, 7790, 1341, 7790, 815, 7790, 1341, 7790, 1341, 630, 272, 7790, 3738, 630, 7790, 7790, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 1548, 1053, 616, 6031, 692, 1892, 1306, 513, 1699, 2875, 593, 713, 536, 17056, 1908, 326, 5573, 13374, 267, 594, 16686, 2390, 6092, 15552, 267, 1141, 594, 666, 1265, 1353, 2200, 585, 5176, 782, 1250, 6030, 267, 1205, 2228, 948, 689, 21493, 476, 2190, 270, 278, 267, 543, 1256, 2671, 1250, 2025, 3785, 267, 4574, 267, 543, 11000, 4967, 609, 824, 1053, 780, 298, 597, 534, 13527, 2160, 16737, 3427, 540, 6355, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 594, 3112, 1256, 4766, 875, 1454, 6092, 15552, 5280, 803, 713, 4832, 269, 898, 779, 5963, 1831, 1945, 594, 666, 2141, 7048, 593, 543, 948, 803, 269, 769, 519, 1439, 267, 594, 729, 711, 1152, 2111, 547, 7639, 4832, 5049, 267, 855, 594, 729, 2111, 547, 8853, 7064, 547, 6092, 15552, 780, 291, 3570, 2160, 540, 12425, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 634, 2702, 547, 1569, 1022, 6280, 779, 2200, 998, 6092, 15552, 9863, 17170, 538, 1250, 2013, 269, 594, 729, 3297, 593, 570, 592, 2033, 17440, 543, 2965, 1031, 17459, 6369, 779, 2326, 547, 948, 803, 1847, 4464, 543, 1205, 3388, 1927, 593, 942, 780, 297, 650, 570, 592, 2033, 2160, 2048, 1626, 267, 6092, 15552, 2902 ]

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

[ 0, 7072, 547, 18218, 4149, 728, 14691, 454, 288, 7746, 20933, 7097, 532, 1893, 568, 513, 5752, 1893, 2966, 585, 519, 1646, 540, 6422, 1357, 3817, 543, 3156, 602, 2196, 593, 513, 1357, 7746, 269, 9521, 7817, 20933, 7097, 532, 4654, 267, 799, 616, 13401, 593, 519, 3593, 779, 11422, 267, 7746, 20933, 20072, 616, 9268, 593, 519, 1357, 7746, 1354, 519, 4611, 1543, 568, 2366, 547, 519, 3593, 779, 11422, 563, 306, 13996, 20933, 7097, 532, 568, 4122, 1031, 547, 5352, 6422, 1357, 3817, 267, 6023, 1106, 22347, 3827, 267, 2170, 609, 12240, 267, 543, 1685, 824, 7746, 20933, 4247, 269, 634, 7746, 20933, 7097, 568, 3743, 585, 4393, 13668, 267, 7900, 26398, 267, 543, 10451, 14103, 610, 824, 1543, 29858, 1759, 593, 519, 3593, 779, 3403, 610, 1808, 2175, 563, 14300, 540, 2442, 7746, 20933, 7097, 532, 4654, 1331, 912, 268, 23285, 281, 589, 4922, 268, 4310, 7097, 532, 1893, 2966, 585, 1357, 1646, 269, 23285, 568, 11251, 1369, 14103, 3009, 543, 666, 581, 13401, 593, 519, 7746, 547, 5352, 6422, 1543, 563, 268, 5124, 630, 5976, 10850, 899, 30622, 24546, 610, 4469, 2532, 2567, 5124, 568, 513, 11684, 5752, 1893, 1031, 585, 1585, 3156, 267, 1519, 1357, 1646, 269, 5680, 10850, 899, 30622, 24546, 543, 4469, 2532, 7520, 7746, 20933, 7097, 532, 538, 5124, 563, 268, 25007, 630, 5976, 25007, 593, 681, 5661, 2567, 25007, 568, 513, 6422, 543, 1843, 15129, 5752, 1893, 267, 543, 25007, 593, 681, 5661, 568, 513, 1357, 5943, 602, 29776, 519, 1646, 540, 1357, 3156, 1210, 25007, 563, 268, 10084, 630, 5976, 10084, 306, 13996, 9664, 1107, 808, 9915, 2567, 10084, 568, 513, 2489, 26928, 5752, 1893, 1419, 1031, 585, 13055, 7400, 3156, 269, 10084, 306, 13996, 9664, 630, 297, 9915, 264, 568, 513, 2029, 602, 6087, 519, 5137, 540, 6422, 1357, 3817, 1210, 10084, 563, 268, 595, 258, 630, 5976, 6789, 303, 12991, 4953, 2567, 595, 258, 568, 513, 5752, 1893, 2919, 676, 9786, 267, 543, 6789, 303, 12991, 4953, 568, 513, 1357, 5943, 602, 2636, 9367, 547, 1628, 6422, 1357, 3156, 1210, 595, 258, 563, 306, 13996, 20933, 7097, 532, 4654, 1404, 513, 2629, 1909, 538, 519, 1646, 540, 1357, 3156, 267, 7175, 519, 5137, 540, 7317, 543, 1239, 12454, 7270, 676, 4393, 3593, 3403, 543, 15025, 609, 12240, 543, 824, 7746, 20933, 2200, 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 ]

[ 0, 258, 12719, 960, 2944, 676, 11508, 692, 296, 1616, 547, 5173, 519, 960, 2944, 676, 11508, 952, 519, 3259, 1269, 299, 259, 540, 7833, 18052, 593, 519, 3349, 15942, 1055, 269, 1703, 568, 11508, 1063, 519, 10260, 543, 519, 3349, 609, 11664, 540, 15452, 11508, 4399, 14153, 17624, 16859, 2330, 310, 815, 1422, 842, 674, 1422, 10383, 546, 1422, 11355, 346, 338, 6525, 594, 1589, 621, 1131, 581, 281, 3230, 310, 3709, 325, 337, 348, 815, 1422, 2765, 631, 700, 575, 1422, 842, 3709, 271, 8703, 299, 348, 15848, 9681, 3719, 519, 3435, 630, 6518, 1223, 581, 19451, 264, 2161, 281, 3230, 323, 310, 3709, 325, 337, 348, 815, 1422, 14153, 17624, 1422, 2765, 631, 700, 575, 22773, 1535, 22773, 15848, 2330, 799, 568, 1287, 7471, 780, 19675, 972, 581, 606, 1269, 343, 259, 538, 519, 7533, 286, 594, 1810, 1405, 1589, 972, 1058, 581, 1317, 596, 616, 2040, 2719, 909, 936, 606, 31208, 2572, 2711, 12761, 1269, 11459, 259, 543, 519, 3196, 540, 11508, 568, 711, 14354, 547, 519, 12761, 693, 1022, 8216, 630, 296, 1589, 6393, 1892, 1684, 596, 917, 602, 707, 4082, 568, 10155, 958, 11234, 888, 1700, 1109, 27398, 454, 14257, 476, 277, 267, 476, 1001, 274, 693, 476, 274, 281, 2767, 692, 4131, 1269, 343, 259, 20301, 519, 3259, 540, 519, 18052, 602, 568, 593, 519, 3349, 267, 1287, 3230, 332, 3287, 264, 815, 1422, 2765, 346, 300, 2410, 299, 26507, 2330, 568, 519, 2527, 540, 519, 18052, 593, 519, 3349, 269, 898, 5205, 602, 519, 3196, 540, 11508, 593, 519, 18052, 593, 519, 3349, 568, 3230, 325, 3287, 264, 815, 1422, 14153, 17624, 544, 3287, 264, 575, 815, 1422, 14153, 17624, 21702, 346, 300, 2410, 299, 26507, 326, 2330, 952, 519, 18052, 7575, 606, 2179, 1269, 11459, 259, 1287, 519, 960, 2944, 676, 11508, 568, 3230, 323, 310, 815, 535, 3287, 264, 11459, 815, 1422, 14153, 17624, 21702, 346, 300, 2410, 299, 348, 326, 343, 15848, 2330 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19506, 9086, 538, 519, 476, 4350, 271, 338, 538, 519, 2475, 602, 568, 2966, 547, 2149, 513, 1126, 17076, 781, 15271, 676, 7263, 1746, 930, 540, 873, 538, 3972, 7482, 729, 3957, 1310, 799, 1412, 330, 573, 262, 888, 12585, 281, 10793, 773, 3213, 25830, 454, 2704, 328, 1162, 281, 10793, 773, 3213, 25830 ]

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

[ 0, 293, 296, 5085, 291, 570, 6020, 4916, 267, 12327, 303, 3633, 296, 16739, 454, 26596, 31883, 632, 2311, 659, 4821, 267, 16266, 454, 2026, 851, 540, 938, 3162, 1977, 7552, 649, 6170, 513, 1906, 2395, 693, 11599, 855, 15805, 344, 5842, 31883, 632, 2311, 659, 4821, 543, 922, 4478, 9855, 6438, 24301, 269, 5842, 31883, 729, 14095, 609, 14666, 855, 621, 1705, 711, 15658, 721, 689, 11981, 519, 2470, 1472, 721, 630, 309, 4150, 632, 3288, 16334, 518, 974, 586, 3288, 700, 10044, 267, 1775, 4318, 269, 519, 9503, 540, 519, 16458, 543, 519, 9855, 267, 631, 4593, 21468, 20698, 3019, 543, 932, 1314, 553, 20698, 3019, 264, 607, 1134, 607, 519, 2199, 9754, 267, 799, 814, 827, 476, 275, 267, 1822, 15693, 338, 630, 21671, 5697, 3688, 1373, 593, 4159, 1070, 544, 27186, 267, 9604, 267, 27022, 543, 4154, 13968, 269, 24511, 267, 538, 476, 1220, 278, 267, 519, 544, 27186, 941, 6569, 689, 519, 4159, 607, 829, 519, 7662, 540, 519, 700, 1157, 534, 656, 599, 1004, 563, 763, 9754, 568, 6131, 547, 519, 2311, 659, 4821, 1004, 543, 2528, 630, 520, 659, 877, 10722, 534, 264, 609, 22300, 4681, 6580, 1394, 476, 275, 267, 1822, 645, 5861, 269, 543, 23217, 5359, 5329, 476, 14596, 267, 1822, 15456, 3615, 543, 476, 1911, 17801, 4919, 3615, 593, 6006, 267, 1519, 3688, 689, 519, 23621, 9774, 27495, 2528, 630, 24992, 476, 6110, 543, 476, 6344, 271, 589, 6185, 12175, 769, 741, 2528, 519, 26804, 543, 519, 7873, 528, 2408, 593, 3615, 540, 1514, 4644, 267, 519, 30060, 11149, 540, 561, 4594, 320, 7633, 267, 543, 519, 14342, 585, 26390, 3215, 5061, 269, 634, 946, 540, 30060, 642, 1162, 543, 4154, 19799, 906, 729, 849, 513, 3090, 540, 4567, 563, 3528, 519, 1032, 476, 13970, 271, 267, 519, 2311, 659, 4821, 2528, 5293, 883, 519, 2531, 514, 542, 540, 519, 5549, 320, 7276, 267, 543, 519, 1381, 547, 519, 3141, 543, 519, 1164, 14805, 1080, 729, 24451, 2390, 519, 1004, 540, 519, 1858, 269, 769, 476, 15150, 271, 267, 519, 2311, 659, 4821, 1004, 1500, 3346, 609, 519, 5053, 9518, 626, 611, 2803, 945, 267, 1310, 9396, 908, 873, 538, 519, 4108, 1931, 267, 12306, 538, 519, 1858, 563, 14630, 281, 5130, 476, 1001, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1554, 267, 1250, 4651, 543, 594, 941, 538, 1899, 547, 4444, 17914, 585, 519, 2235, 639, 1547, 1656, 513, 1920, 729, 7555, 538, 4395, 540, 721, 269, 634, 1920, 1185, 5216, 1453, 269, 4256, 9660, 941, 711, 7199, 855, 2973, 7868, 1453, 14437, 827, 519, 804, 12495, 263, 16532, 19246, 267, 22171, 543, 824, 1919, 31113, 269, 898, 729, 741, 1101, 942, 547, 979, 547, 519, 2235, 639, 269, 634, 19044, 14799, 4280, 519, 4651, 875, 1082, 17914, 646, 4941, 269, 1261, 23217, 12943, 267, 834, 296, 1616, 5216, 1453, 781, 17914, 543, 1079, 4079, 262, 17914, 267, 865, 594, 666, 1491, 1250, 1920, 547, 519, 2235, 639, 1701, 634, 19044, 14799, 1767, 519, 3902, 269, 634, 812, 781, 7385, 22485, 1200, 2212, 543, 972, 729, 1100, 12837, 593, 555, 552, 812, 781, 3068, 269, 1261, 23900, 4280, 267, 834, 1692, 1454, 1705, 476, 596, 2161, 8119, 634, 19044, 14799, 1767, 519, 3902, 1586, 269, 634, 812, 4769, 1405, 723, 2614, 2724, 269, 1215, 1223, 646, 2995, 1010, 5216, 3214, 519, 3983, 3377, 286, 3733, 19033, 2322, 1010, 1688, 883, 1010, 17927, 543, 15504, 856, 513, 1269, 736, 3915, 543, 12628, 621, 593, 519, 2666, 15301, 1103, 1249, 267, 649, 941, 711, 3638, 14386, 3973, 1250, 19033, 1767, 267, 834, 2750, 322, 2224, 803, 267, 27205, 267, 713, 12628, 856, 540, 707, 17927, 1701, 634, 812, 6785, 1018, 729, 2469, 593, 269, 1261, 6743, 883, 1250, 19033, 781, 4064, 267, 4371, 1250, 19033, 781, 1688, 538, 1010, 267, 543, 3576, 519, 1269, 736, 3915, 269, 834, 14188, 596, 267, 27205, 267, 9684, 596, 269, 901, 2731, 1797, 513, 2603, 547, 803, 543, 1250, 1920, 1701, 3733, 4651, 543, 594, 4682, 1394, 1753, 269, 1284, 4769, 1405, 979, 547, 1294, 519, 2235, 639, 602, 3781, 267, 855, 649, 4769, 1405, 1416, 269, 634, 4651, 4941, 547, 4444, 567, 9041, 567, 17914, 563, 271, 269, 2185, 454, 272, 269, 3670, 454, 273, 269, 5216, 454, 274, 269, 4557, 454, 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 ]

[ 0, 300, 1468, 1143, 281, 2052, 621, 1118, 596, 8414, 888, 4692, 717, 7517, 543, 7698, 1143, 1291, 547, 3020, 8788, 286, 968, 294, 7517, 568, 1434, 269, 717, 7517, 568, 1318, 269, 717, 7517, 1568, 543, 26846, 786, 4688, 519, 7330, 1848, 630, 310, 718, 9335, 264, 968, 290, 1021, 649, 616, 2713, 538, 513, 1570, 1158, 543, 594, 993, 513, 1570, 8004, 892, 513, 6249, 538, 835, 540, 8496, 30358, 779, 1034, 4583, 8964, 563, 294, 7517, 543, 1570, 1143, 1796, 538, 813, 3789, 547, 1022, 23314, 540, 3020, 8788, 269, 4658, 616, 896, 513, 7301, 8226, 602, 2724, 786, 4194, 782, 540, 741, 2042, 543, 607, 513, 1267, 3142, 873, 741, 25932, 7772, 543, 8788, 269, 3509, 16895, 267, 15806, 267, 543, 3909, 5515, 2429, 519, 6502, 723, 1201, 3176, 713, 25195, 269, 4658, 538, 1977, 2486, 1491, 2724, 1360, 12517, 1317, 621, 666, 2901, 1118, 610, 2736, 707, 1272, 5079, 269, 769, 1931, 547, 3514, 538, 2221, 779, 2486, 4892, 1745, 519, 991, 547, 3489, 1570, 7221, 865, 602, 789, 616, 6743, 2390, 607, 1373, 968, 514, 2511, 892, 610, 1373, 17215, 6190, 269, 14559, 543, 26846, 568, 519, 1292, 2188, 602, 2014, 1004, 547, 581, 538, 7963, 269, 4658, 2221, 960, 2182, 547, 3489, 5763, 543, 1967, 711, 865, 602, 789, 666, 581, 6126, 855, 1175, 1317, 789, 1616, 547, 968, 18141, 909, 609, 519, 13643, 6100, 14559, 666, 1152, 1118, 596, 6126, 9389, 958, 1317, 952, 596, 616, 2324, 2182, 1175, 865, 602, 596, 666, 4444, 1570, 1919, 596, 2731, 616, 711, 2469, 547, 2972, 873, 1317, 782, 540, 707, 942, 543, 1648, 568, 2322, 883, 4509, 707, 1570, 5763, 676, 2324, 3063, 2182, 563, 2005, 568, 16453, 547, 1589, 602, 2724, 568, 711, 3388, 538, 1272, 267, 4352, 538, 519, 1158, 649, 2661, 538, 707, 711, 2469, 547, 9585, 4376, 610, 1205, 9170, 610, 1256, 2661, 513, 1272, 602, 568, 2808, 3339, 547, 519, 1158, 1510, 2724, 269, 4634, 1498, 596, 3112, 4444, 2648, 610, 8788, 596, 616, 1360, 12691, 547, 1265, 2901, 952, 707, 2713, 896, 513, 8115, 269, 1284, 7048, 593, 2724, 267, 952, 782, 519, 2724, 538, 519, 1158, 20374, 14182, 519, 1158, 267, 607, 649, 917, 621, 1131, 12900, 269, 18421, 568, 4448, 547, 2724, 538, 930, 1259, 269, 18421, 9247, 814, 513, 3902, 11090, 1862 ]

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

[ 0, 14079, 8217, 815, 1496, 272, 267, 273, 267, 274, 15947, 14079, 4671, 6269, 548, 815, 630, 272, 267, 273, 267, 274, 3418, 14079, 27133, 815, 2715, 272, 267, 273, 267, 274, 348, 5897, 258, 24464, 3711, 1695, 16988, 2893, 340, 21536, 22462, 1705, 15401, 1592, 1477, 14079, 8217, 6910, 263, 1911, 3418, 2745, 263, 14079, 8217, 3418, 2745, 3488, 2411, 955, 268, 20298, 14079, 4671, 6269, 548, 815, 3446, 4671, 6269, 548, 1341, 630, 275, 267, 3418, 2745, 263, 14079, 4671, 6269, 548, 3418, 2745, 3488, 2411, 955, 268, 20298, 28744, 4756, 1705, 15401, 1592, 1477, 2745, 263, 14079, 8217, 314, 271, 29573, 2745, 263, 14079, 4671, 6269, 548, 314, 274, 29573 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 28038, 7223, 2147, 547, 3689, 28644, 20553, 8298, 334, 476, 277, 281, 25159, 543, 30332, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 7462, 4033, 16776, 602, 9305, 547, 3689, 28644, 20553, 8298, 334, 476, 277, 281, 25159, 543, 30332, 454, 13434, 2720, 542, 269, 28038, 1109, 531, 5040, 269, 20603, 269, 7328, 269, 27122, 269, 14691, 269, 13241, 1109, 268, 1109, 14197, 269, 8298, 334, 269, 19750, 1109, 12244, 269, 7998, 780, 2162, 1703, 616, 476, 280, 2164, 692, 289, 5802, 11762, 3436, 10789, 3436, 28038, 7223, 692, 2162, 3689, 28644, 20553, 8298, 334, 476, 277, 281, 25159, 543, 30332, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 9596, 547, 2328, 5773, 543, 1628, 873, 883, 8298, 334, 3292, 269, 6258, 547, 946, 4632, 780, 2162, 3689, 28644, 20553, 8298, 334, 476, 279, 281, 2859, 827, 25159, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 2237, 513, 8298, 334, 1982, 267, 8380, 538, 4632, 267, 543, 1294, 519, 1198, 950, 596, 1689, 519, 4632, 780, 2162, 2983, 558, 18350, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 288, 9511, 2978, 18705, 538, 513, 6198, 5752, 1893, 269, 5800, 539, 547, 18044, 689, 519, 3312, 28162, 693, 1357, 2593, 18350, 269, 2135, 28482, 16896, 270, 613, 558, 18350, 692, 2162, 23426, 15733, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4322, 22221, 5546, 1142, 1796, 585, 513, 1114, 1297, 269, 2052, 596, 946, 519, 8691, 18304, 547, 960, 856, 1018, 789, 616, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13914, 540, 513, 1297, 543, 1246, 1250, 5528, 269, 15681, 803, 707, 2626, 267, 543, 594, 3513, 2995, 596, 1018, 596, 3323, 609, 256, 2052, 596, 2491, 875, 594, 917, 2496, 2162, 32309, 25285, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8620, 930, 5546, 676, 9256, 1079, 610, 811, 25965, 269, 1548, 666, 596, 2161, 827, 519, 2127, 543, 829, 12281, 540, 519, 5546, 596, 666, 1118, 2496, 2162, 7981, 10606, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 7069, 1079, 7857, 1297, 568, 2027, 1317, 4946, 519, 2040, 540, 922, 9704, 547, 519, 1587, 540, 922, 9704, 3947, 803, 1250, 3312, 1297, 269, 1548, 1223, 1250, 1297, 581, 2496, 2162, 9061, 539, 661, 2738, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 15899, 525, 666, 581, 6537, 593, 1297, 21870, 540, 1585, 7306, 269, 1548, 798, 596, 5469, 950, 596, 1039, 6587, 7475, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 19523, 825, 1948, 829, 1104, 541, 3288, 561, 12221, 516, 6319, 2122, 14504, 6319, 454, 604, 12759, 4433, 903, 27769, 341, 264, 3436, 476, 272, 2567, 672, 1948, 23313, 1714, 9930, 3691, 632, 1612, 5451, 5471, 637, 476, 15530, 9120, 513, 476, 272, 269, 476, 15530, 513, 546, 597, 267, 562, 685, 6062, 554, 534, 454, 825, 585, 1775, 538, 19523, 27769, 341, 912, 1038, 1820, 2891, 13640, 600, 834, 1341, 1775, 264, 567, 1948, 1696, 1034, 571, 1714, 29194, 1612, 14504, 5471, 516, 454, 12828, 912, 825, 1820, 2891, 31549, 546, 262, 785, 545, 541, 1714, 9930, 632, 561, 262, 541, 3495, 340, 5602 ]

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

[ 0, 1607, 3992, 786, 948, 1053, 1174, 2789, 268, 26074, 1913, 998, 519, 946, 540, 7499, 543, 26974, 3740, 6041, 256, 2422, 607, 513, 1796, 17038, 821, 2534, 610, 513, 1489, 3992, 585, 2913, 781, 14424, 543, 25037, 27140, 31157, 2336, 1607, 568, 513, 1390, 2606, 3992, 547, 4001, 1053, 827, 519, 2956, 540, 12383, 950, 2542, 269, 898, 666, 581, 1031, 607, 513, 1796, 4805, 610, 1489, 3992, 585, 519, 28038, 24153, 781, 22544, 3992, 1544, 563, 1103, 713, 3992, 267, 1053, 786, 1451, 875, 547, 1232, 1712, 7164, 1913, 538, 513, 5931, 1210, 2796, 10881, 269, 4841, 786, 581, 5189, 547, 519, 2856, 540, 1727, 657, 2572, 543, 786, 2259, 7114, 1727, 657, 2572, 269, 901, 3992, 666, 581, 1031, 593, 922, 1378, 610, 607, 1489, 585, 519, 3992, 1772, 898, 519, 23893, 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 ]

[ 0, 4131, 781, 2161, 267, 2197, 589, 543, 2197, 645, 1312, 8532, 543, 3132, 1152, 1426, 543, 7802, 269, 5637, 2477, 946, 1152, 4074, 547, 3132, 891, 1079, 2472, 269, 589, 11832, 538, 2197, 589, 666, 3132, 476, 277, 4559, 540, 7802, 610, 476, 1015, 4559, 540, 1426, 1142, 1554, 1247, 513, 11832, 538, 2197, 645, 666, 3132, 476, 275, 4559, 540, 7802, 610, 476, 279, 4559, 540, 1426, 563, 25898, 4316, 1942, 540, 1426, 2504, 538, 2197, 589, 20324, 581, 519, 1482, 286, 2107, 1131, 4316, 1942, 540, 1426, 2504, 538, 2197, 589, 581, 3152, 982, 602, 540, 2197, 645, 269, 1548, 1131, 581, 519, 4542, 1862, 15100, 11020, 22709, 5549, 269, 2634, 21346, 2593, 4728, 476, 275, 267, 476, 1708, 272, 267, 476, 279, 281, 6349, 10681, 740, 272, 322, 280, 321, 9536, 4206, 454, 302, 653, 1953, 640, 1942, 568, 519, 3902, 540, 519, 6074, 1434, 267, 3448, 547, 519, 1985, 1655, 4244, 563, 21104, 1464, 538, 938, 2013, 454, 302, 653, 1953, 640, 1942, 540, 4429, 302, 653, 1953, 640, 1942, 568, 15091, 269 ]

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

[ 0, 769, 513, 1507, 4884, 3957, 1325, 874, 822, 4068, 267, 972, 5030, 1079, 8049, 2370, 5022, 267, 589, 543, 645, 269, 1358, 6068, 4730, 538, 741, 22843, 12567, 267, 5577, 4771, 689, 8768, 547, 8768, 267, 1142, 8204, 513, 1114, 4484, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 2263, 3564, 741, 4677, 543, 883, 519, 1158, 540, 5651, 572, 8943, 8092, 780, 2026, 789, 5887, 3293, 4514, 883, 713, 1007, 8513, 267, 789, 1558, 667, 1662, 267, 513, 2656, 543, 15931, 12297, 945, 1990, 5792, 1472, 24672, 269, 1261, 8068, 589, 543, 645, 6743, 4503, 543, 4280, 267, 834, 3963, 798, 596, 3100, 865, 7138, 1194, 12482, 289, 2695, 324, 8898, 267, 834, 2171, 1616, 547, 1451, 5651, 572, 8943, 256, 2052, 596, 4001, 721, 8119, 19196, 1243, 569, 267, 667, 1662, 8815, 543, 6026, 873, 875, 15956, 543, 546, 10449, 2099, 1114, 5022, 269, 1879, 646, 5018, 808, 729, 29717, 19203, 3299, 1312, 589, 543, 645, 941, 27086, 269, 8528, 288, 4280, 267, 834, 3719, 1946, 1281, 808, 991, 2185, 6786, 950, 824, 2828, 1152, 946, 1614, 610, 7864, 8119, 667, 1662, 20493, 543, 6045, 267, 834, 15919, 267, 1919, 1491, 3476, 982, 4397, 1317, 789, 3180, 811, 2956, 1765, 3286, 899, 1565, 782, 8938, 29350, 9479, 15323, 30342, 12913, 267, 589, 543, 645, 8120, 1753, 547, 2671, 741, 1702, 609, 1866, 269, 1717, 267, 789, 4166, 7691, 602, 13215, 5651, 572, 8943, 1131, 2154, 1454, 9639, 543, 2259, 269, 4014, 789, 7948, 1405, 1174, 1169, 2582, 1469, 2943, 267, 789, 4121, 3407, 4245, 827, 16177, 543, 8508, 2591, 1247, 3695, 519, 4241, 7706, 540, 2257, 2792, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 568, 519, 476, 1015, 628, 4484, 540, 519, 9904, 538, 5651, 572, 8943, 888, 763, 476, 1015, 628, 4484, 540, 519, 9904, 538, 5651, 572, 8943, 568, 834, 297, 2580, 799, 568, 6719, 676, 519, 3009, 834, 269, 19203, 257, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]

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

[ 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 1220, 271, 2190, 27252, 7269, 540, 2547, 1535, 17598, 1535, 317, 273, 910, 476, 273, 265, 6523, 3287, 264, 815, 476, 275, 265, 7562, 3287, 1070, 2258, 730, 269, 476, 274, 454, 476, 275, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 273, 267, 476, 278, 267, 476, 273, 267, 476, 280, 267, 476, 275, 267, 476, 278, 267, 476, 272, 267, 476, 279, 267, 476, 277, 267, 476, 280, 267, 476, 272, 267, 476, 272, 267, 476, 277, 267, 476, 272, 267, 476, 279, 267, 476, 276, 267, 476, 278, 267, 476, 275, 267, 476, 272, 267, 476, 272, 267, 476, 276, 267, 476, 276, 267, 476, 276, 267, 476, 271, 267, 476, 280, 267, 476, 277, 267, 476, 280, 267, 476, 273, 267, 476, 279, 267, 476, 279, 267, 476, 274, 267, 476, 275, 267, 476, 271, 267, 476, 273, 267, 476, 277, 267, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 275, 267, 476, 277, 267, 476, 274, 267, 476, 275, 267, 476, 278, 267, 476, 271, 267, 476, 273, 267, 476, 276, 267, 476, 271, 267, 476, 274, 267, 476, 273, 267, 476, 277, 267, 476, 274, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 279, 267, 476, 274, 267, 476, 274, 267, 476, 273, 267, 476, 277, 267, 476, 280, 267, 476, 280, 267, 476, 278, 267, 476, 274, 267, 476, 274, 267, 476, 278, 267, 476, 275, 267, 476, 274, 267, 476, 276, 267, 476, 271, 267, 476, 278, 267, 476, 280, 267, 476, 274, 267, 476, 278, 267, 476, 272, 267, 476, 279, 267, 476, 279, 267, 476, 276, 267, 476, 275, 267, 476, 272, 267, 476, 273, 267, 476, 279, 267, 476, 278, 267, 476, 280, 267, 476, 271, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 277, 267, 476, 272, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 272, 267, 476, 273, 630, 4289, 282, 3586, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 272, 25265, 19006, 6423, 589, 1960, 280, 5392, 585, 513, 3391, 547, 1644, 9696, 269, 1109, 1109, 763, 4223, 11490, 320, 1982, 2882, 513, 3113, 269, 700, 2562, 16775, 717, 269, 595, 269, 13983, 889, 601, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 1911, 876, 12327, 21283, 4041, 2547, 1535, 281, 1109, 1109, 268, 271, 269, 275, 2537, 276, 2767, 29848, 278, 1240, 7597, 272, 14065, 5952, 278, 30329, 27898, 6021, 277, 280, 2764, 279, 4097, 6349, 1862, 6574, 1535, 281, 476, 272, 269, 279, 1789, 278, 3451, 28526, 23310, 279, 8287, 276, 4200, 13975, 20720, 4817, 275, 278, 4097, 15704, 6434, 275, 276, 3607, 277, 1862, 13878, 26154, 2316, 7563, 513, 815, 476, 272, 282, 536, 815, 910, 273, 282, 524, 815, 476, 275, 282, 535, 20572, 318, 316, 28701, 513, 20080, 317, 273, 1341, 536, 265, 290, 657, 20572, 22049, 575, 20572, 318, 316, 28701, 524, 265, 306, 514, 20572, 316, 18140, 314, 346, 325, 20572, 3910, 575, 20572, 316, 9574, 2715, 343, 267, 910, 272, 267, 476, 273, 9574, 2715, 288, 343, 525, 27670, 9847, 2715, 271, 267, 476, 271, 3686, 316, 678, 815, 1535, 1315, 269, 4855, 305, 2393, 314, 325, 20572, 316, 2652, 575, 20572, 3910, 2715, 343, 267, 910, 269, 6246, 267, 910, 269, 5655, 9574, 11554, 7093, 17800, 9847, 476, 8099, 316, 7464, 14707, 1080, 314, 337, 316, 1109, 1109, 28949, 589, 1220, 271, 2190, 2608, 264, 678, 815, 1535, 1315, 269, 4855, 305, 2393, 314, 325, 20572, 316, 2652, 575, 20572, 3910, 2715, 343, 267, 476, 272, 269, 10695, 267, 476, 272, 269, 10019, 9574, 11554, 7093, 17800, 9847, 476, 8099, 316, 7464, 14707, 1080, 314, 337, 316, 1109, 1109, 28949, 589, 1220, 28276, 2608, 264, 11550, 294, 630, 303, 2752, 296, 264, 513, 284, 272, 282, 536, 15871, 273, 282, 524, 284, 275, 282, 4194, 3287, 15871, 272, 267, 476, 271, 267, 513, 20080, 317, 273, 1341, 536, 265, 6523, 3287, 264, 910, 524, 265, 7562, 3287, 4297, 8607, 717, 269, 595, 269, 13983, 889, 601, 267, 9947, 476, 2190, 476, 1001, 279, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 1960, 280, 5392, 269, 25627, 538, 2796, 281, 589, 271, 4097, 280, 2767, 589, 22332, 27038, 589, 28638, 8064, 272, 2608, 589, 26316, 18684, 589, 25248, 271, 5325, 589, 6642, 276, 6246, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 1220, 28512, 589, 1220, 28873, 589, 1220, 271, 2537, 2608, 589, 1220, 28276, 589, 1220, 271, 2918, 589, 1220, 271, 2767, 26395, 312, 310, 16704, 1875, 333, 267, 4621, 27483, 295, 3036, 18412, 13690, 828, 1782, 267, 8734, 476, 1724, 476, 1001, 272, 12327, 307, 2894, 31064, 306, 513, 263, 9262, 9984, 320, 263, 7176, 264, 22621, 676, 717, 269, 595, 269, 13983, 889, 601, 267, 9947, 476, 2190, 476, 1001, 279, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5130, 476, 1839, 476, 5881, 281, 5655, 29643, 476, 1708, 271, 269, 1230, 13935, 476, 28664, 25240, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700 ]

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

[ 0, 27144, 661, 1047, 548, 454, 25811, 518, 267, 7010, 11629, 543, 667, 10621, 692, 258, 5741, 25586, 476, 1626, 281, 5295, 7857, 2040, 692, 19370, 476, 1626, 692, 21497, 815, 476, 27628, 6924, 543, 519, 2040, 540, 922, 9704, 568, 476, 274, 1341, 476, 273, 1341, 476, 278, 1341, 476, 277, 1341, 476, 279, 815, 476, 2918, 780, 1432, 568, 519, 2040, 540, 519, 9704, 540, 519, 1297, 476, 13975, 876, 2496, 1012, 8827, 692, 763, 1966, 666, 581, 12193, 3833, 3533, 609, 9226, 267, 799, 2636, 17062, 1804, 9981, 1384, 8999, 9852, 777, 17301, 267, 1193, 263, 273, 1262, 1911, 271, 4297, 2020, 4913, 267, 602, 781, 7012, 1405, 2731, 4101, 269, 2913, 781, 4137, 856, 267, 875, 649, 666, 4194, 519, 1966, 1510, 519, 1379, 540, 9226, 269, 1306, 1169, 3339, 3710, 2987, 1239, 1826, 666, 1405, 4558, 971, 513, 1804, 1297, 267, 606, 5044, 1590, 3180, 519, 9704, 267, 649, 666, 2040, 936, 269, 1215, 1804, 1281, 519, 5044, 723, 547, 581, 286, 2060, 9046, 476, 1839, 267, 594, 4312, 8810, 602, 519, 3259, 3230, 299, 3799, 14638, 540, 513, 6746, 3230, 333, 2330, 568, 692, 259, 299, 3799, 264, 815, 1422, 331, 28776, 476, 272, 10954, 8421, 3709, 1015, 12917, 333, 9385, 337, 28776, 6911, 3383, 519, 1297, 540, 9704, 649, 991, 547, 4558, 1287, 568, 1384, 259, 323, 815, 1422, 331, 28776, 476, 272, 10954, 8421, 3709, 1015, 12917, 273, 3867, 1911, 271, 348, 9385, 337, 28776, 815, 1422, 331, 28776, 476, 272, 266, 1911, 271, 24206, 1422, 8421, 3709, 1015, 12917, 273, 9385, 337, 28776, 815, 476, 23714, 6911, 17780, 593, 519, 476, 23714, 2609, 5044, 267, 649, 666, 4020, 519, 1297, 676, 14921, 476, 1911, 271, 2053, 1079, 269, 769, 3119, 1153, 267, 649, 4121, 875, 547, 798, 1279, 8691, 269, 589, 2656, 12576, 609, 519, 1383, 476, 31979, 2053, 476, 276, 5392, 1384, 476, 275, 476, 272, 476, 274, 2608, 476, 276, 476, 275, 476, 280, 1341, 476, 273, 476, 271, 476, 277, 476, 276, 476, 271, 476, 271, 1341, 476, 272, 476, 277, 476, 276, 476, 273, 476, 271, 1341, 476, 274, 476, 278, 476, 272, 476, 278, 815, 476, 273, 476, 273, 476, 277, 476, 278, 476, 274, 476, 278, 692, 4415, 713, 7271, 267, 649, 666, 9062, 476, 1911, 271, 2053, 1079, 3833, 3533, 269, 1284, 1810, 1405, 1256, 991, 476, 1911, 271, 14249, 267, 835, 5044, 568, 2614, 950, 649, 2040, 519, 1267, 2047, 269, 1879, 8045, 267, 519, 3070, 666, 1287, 1413, 607, 5205, 1384, 10818, 3070, 263, 10339, 264, 2715, 692, 12534, 1931, 815, 476, 271, 3248, 12534, 9704, 815, 4569, 269, 28776, 263, 272, 1341, 1163, 2608, 4569, 11482, 301, 273, 1315, 4569, 11482, 301, 1015, 32007, 12534, 1297, 815, 1007, 772, 842, 279, 26161, 5560, 580, 1080, 32007, 15893, 314, 271, 316, 815, 476, 272, 16963, 1721, 630, 12534, 1775, 815, 476, 271, 282, 1775, 2999, 1163, 282, 1775, 10030, 264, 2715, 692, 12534, 4163, 815, 476, 271, 16963, 1721, 630, 12534, 795, 815, 476, 271, 282, 795, 10922, 1931, 282, 795, 10030, 264, 2715, 692, 12534, 1587, 815, 476, 273, 2608, 1297, 14728, 316, 1341, 4163, 3248, 15893, 14728, 316, 815, 1587, 4939, 476, 1015, 3248, 8364, 787, 815, 1587, 1315, 476, 1015, 1923, 476, 271, 16963, 604, 630, 329, 815, 2525, 1931, 30974, 4163, 3436, 476, 271, 264, 13634, 4650, 10030, 3248, 8679, 8679, 8679, 8873, 1297, 18622, 706, 576, 9230, 335, 267, 1535, 264, 18092, 1535, 1341, 533, 267, 476, 271, 11850, 10926, 338, 1828, 263, 1911, 271, 32007, 7883, 547, 7650 ]

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

[ 0, 24618, 9866, 3569, 1239, 585, 12570, 2518, 20012, 1606, 7739, 1464, 683, 343, 4926, 454, 31413, 1436, 568, 23960, 2066, 519, 1158, 267, 4611, 538, 811, 4683, 7264, 267, 607, 1134, 607, 811, 4683, 2244, 946, 269, 11638, 7302, 541, 1461, 2524, 540, 20012, 543, 741, 2825, 5222, 616, 1898, 585, 8236, 12655, 4886, 17644, 630, 16256, 19199, 264, 538, 2518, 4872, 269, 901, 1382, 3096, 1239, 689, 3047, 9866, 3569, 543, 1514, 2959, 547, 1732, 1174, 875, 20012, 543, 6940, 616, 4448, 693, 2199, 3562, 25322, 2128, 10253, 269, 3776, 4681, 3565, 547, 2679, 513, 8115, 1063, 2257, 543, 3609, 547, 1711, 4264, 543, 561, 22133, 4872, 676, 3246, 1808, 2994, 585, 1142, 2796, 3079, 540, 513, 1412, 821, 20695, 1922, 1080, 22433, 262, 1935, 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 ]

[ 0, 258, 25663, 28513, 281, 476, 273, 317, 4029, 265, 275, 317, 4029, 265, 276, 317, 7830, 265, 278, 317, 4029, 265, 279, 317, 11152, 284, 344, 1879, 594, 6836, 547, 4194, 519, 1966, 1210, 606, 2228, 9498, 543, 3893, 9490, 2164, 269, 1280, 1383, 267, 594, 9411, 5216, 547, 519, 562, 27197, 21017, 1379, 543, 3893, 10484, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 22091, 11228, 7146, 2000, 690, 15162, 6193, 1922, 17313, 9847, 25663, 28513, 281, 476, 273, 317, 4029, 265, 275, 317, 4029, 265, 276, 317, 7830, 265, 278, 317, 4029, 265, 279, 317, 11152, 284, 344, 1879, 594, 6836, 547, 4194, 519, 1966, 1210, 606, 2228, 9498, 543, 3893, 9490, 2164, 269, 1280, 1383, 267, 594, 9411, 5216, 547, 519, 562, 27197, 21017, 1379, 543, 3893, 267, 3396, 1109, 8298, 2201, 692, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 256, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 2439, 10789, 281, 5890, 9426, 543, 30233, 607, 3252, 540, 1379, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 7726, 476, 16020, 7176, 281, 476, 273, 317, 4029, 265, 275, 317, 4029, 265, 276, 317, 7830, 265, 278, 317, 4029, 265, 279, 317, 11152, 284, 344, 1879, 594, 6836, 547, 4194, 519, 1966, 1210, 606, 2228, 9498, 543, 3893, 9490, 2164, 269, 1280, 1383, 267, 594, 9411, 5216, 547, 519, 562, 27197, 21017, 1379, 543, 3893, 267, 476, 280, 269, 278, 1724, 30306, 5379, 272, 12553, 277, 3393, 324, 266, 10695, 607, 606, 2626, 799, 568, 513, 3898, 594, 993, 8572, 547, 960, 2417, 609, 269, 8729, 585, 707, 948, 256, 12585, 676, 3798, 7773, 15966, 9545, 344, 263, 6434, 280, 274, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 3499, 22217, 1518, 281, 18564, 602, 782, 519, 23055, 616, 23385, 540, 476, 4029, 269, 3503, 519, 1379, 607, 543, 2328, 519, 1379, 607, 3767, 2328, 519, 607, 543, 2328, 519, 607, 3767, 2328, 519, 607, 543, 2328, 519, 607, 3767, 2094, 782, 2188, 616, 6659, 547, 519, 476, 4029, 1379, 267, 649, 666, 2328, 519, 1657, 607, 281, 3973, 6368, 9062, 519, 2338, 538, 519, 24324, 543, 596, 1439, 909, 609, 610, 543, 596, 1131, 1175, 4734, 519, 2626, 899, 602, 1317, 602, 1297, 2854, 856, 1131, 723, 7366, 540, 9704, 269, 3798, 7773, 3499 ]

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

[ 0, 15507, 513, 1297, 454, 23714, 271, 815, 476, 18597, 14681, 454, 26015, 11847, 19948, 454, 16535, 6200, 9340, 9826, 1911, 454, 25313, 18089, 18891, 454, 275, 2537, 24062, 271, 454, 276, 4510, 31239, 454, 277, 2641, 4649, 273, 454, 278, 1556, 276, 6246, 454, 24934, 6872, 272, 275, 454, 280, 6078, 1839, 454, 9818, 22903, 454, 12208, 273, 320, 277, 454, 13199, 279, 321, 279, 454, 14530, 275, 321, 275, 454, 15221, 1428, 320, 454, 1428, 323, 4792, 454, 28411, 321, 764, 692, 23714, 271, 814, 476, 1321, 16975, 630, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 277, 4343, 275, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 6344, 271, 780, 763, 3105, 6305, 568, 476, 22145, 280, 269, 634, 1985, 6305, 568, 476, 23714, 274, 269, 634, 30729, 540, 476, 23714, 271, 568, 476, 10711, 780, 29002, 547, 476, 23714, 271, 922, 9258, 630, 10711, 1070, 649, 1205, 513, 5493, 30308, 630, 27088, 274, 6393, 2005, 568, 513, 6126, 1297, 780, 2005, 568, 513, 670, 6702, 611, 1297, 2094, 621, 568, 513, 2789, 540, 922, 2040, 540, 9704, 630, 276, 6393, 2005, 568, 513, 10750, 323, 4435, 538, 3490, 476, 1691, 543, 3490, 476, 1626, 780, 2005, 568, 513, 562, 658, 335, 323, 4435, 538, 3490, 476, 1428, 780, 2005, 568, 513, 22882, 1297, 267, 1317, 621, 568, 3160, 547, 562, 266, 338, 617, 3799, 264, 585, 562, 815, 476, 26482, 276, 543, 476, 22145, 274, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 23714, 274, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 829, 5371, 1190, 1297, 267, 1317, 922, 9352, 6041, 3568, 513, 6305, 1297, 630, 278, 264, 540, 3283, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 6321, 1341, 3267, 1341, 476, 4817, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 276, 3953, 6393, 2005, 568, 606, 21443, 762, 1297, 780, 23714, 271, 568, 606, 10731, 1297, 267, 2094, 621, 568, 4130, 982, 519, 2040, 540, 922, 1697, 16975, 630, 28656, 275, 6393, 2005, 568, 513, 15554, 6016, 2739, 1297, 267, 1317, 621, 568, 519, 2040, 540, 513, 15410, 540, 922, 1697, 16975, 780, 2005, 568, 513, 2098, 636, 330, 11839, 1297, 267, 1317, 922, 16975, 666, 581, 15652, 539, 538, 1079, 5036, 609, 519, 1482, 2040, 630, 29204, 273, 6393, 23714, 271, 568, 513, 3653, 995, 1297, 267, 2094, 621, 3096, 1447, 9704, 982, 922, 26458, 780, 23714, 271, 568, 606, 5212, 1190, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 9642, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 8182, 630, 528, 476, 15647, 10203, 1152, 519, 3982, 3283, 6393, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 277, 267, 1247, 519, 2040, 568, 476, 276, 780, 763, 4009, 3597, 540, 476, 23714, 271, 568, 827, 476, 7918, 269, 4817, 275, 276, 2918, 4792, 277, 272, 269, 634, 12945, 3597, 540, 476, 23714, 271, 568, 827, 476, 1691, 269, 3393, 275, 5325, 275, 278, 3451, 280, 780, 763, 10259, 540, 476, 23714, 271, 538, 1913, 568, 834, 22764, 8536, 267, 8938, 2580, 543, 3976, 621, 568, 606, 16481, 534, 1297, 780, 19667, 30583, 281, 476, 272, 476, 273, 476, 275, 476, 276, 476, 1015, 476, 736, 476, 14681, 476, 23714, 476, 2568, 275, 476, 4037, 276, 476, 14681, 271, 476, 23714, 271 ]

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

[ 0, 303, 328, 27600, 781, 7869, 2986, 15465, 4886, 454, 303, 328, 27600, 568, 2808, 519, 4651, 540, 5042, 1646, 1317, 1010, 2090, 941, 519, 1101, 547, 4983, 1453, 781, 3206, 543, 1317, 646, 6035, 513, 3102, 3069, 540, 875, 17133, 4957, 936, 942, 269, 3571, 3069, 540, 5042, 1646, 729, 1759, 593, 1239, 689, 513, 3126, 540, 6901, 543, 11042, 540, 1453, 630, 10175, 1010, 1378, 264, 602, 8268, 741, 3206, 538, 513, 3099, 540, 8658, 269, 13100, 27600, 781, 3069, 15538, 540, 2185, 5933, 540, 1646, 689, 4332, 547, 18273, 281, 9300, 574, 19318, 267, 840, 6016, 1049, 267, 6405, 10512, 267, 543, 6101, 10512, 563, 268, 15465, 4886, 910, 966, 17789, 1824, 5652, 781, 5081, 32241, 7869, 454, 268, 15465, 4886, 910, 11137, 2986, 15465, 4886, 454, 268, 4033, 5131, 2037, 9871, 2664, 553 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24050, 1518, 263, 1492, 8217, 267, 3259, 267, 1775, 2187, 453, 331, 17999, 815, 1775, 825, 1948, 6236, 607, 3597, 454, 453, 3847, 815, 476, 273, 265, 328, 266, 272, 567, 1948, 4994, 540, 2451, 1126, 454, 453, 2431, 815, 476, 273, 265, 328, 266, 273, 476, 1948, 4994, 540, 1318, 1126, 692, 453, 258, 5408, 952, 2451, 1126, 2291, 543, 3152, 982, 3597, 454, 14851, 2451, 283, 26319, 543, 519, 8217, 5157, 316, 283, 1492, 8217, 314, 3847, 14158, 453, 453, 331, 17999, 815, 2451, 692, 453, 258, 5408, 952, 1318, 1126, 2291, 543, 3152, 982, 3597, 454, 14851, 1318, 283, 26319, 543, 519, 8217, 314, 331, 17999, 316, 283, 1492, 8217, 314, 2431, 14158, 453, 453, 331, 17999, 815, 1318, 692, 453, 258, 4219, 3597, 952, 3677, 1297, 9575, 607, 2451, 610, 1318, 1126, 454, 14851, 4102, 256, 284, 328, 912, 453, 453, 1492, 8217, 5157, 3910, 1492, 8217, 314, 331, 17999, 24557, 1492, 8217, 314, 331, 17999, 3910, 1492, 8217, 5157, 2639, 453, 453, 258, 24050, 1518, 519, 1007, 3597, 454, 453, 453, 515, 777, 1518, 263, 1492, 8217, 267, 3259, 267, 4102, 9239, 3698, 24050, 31374, 263, 1492, 8217, 2187, 453, 333, 815, 7003, 263, 1492, 8217, 2020, 453, 258, 515, 777, 1518, 519, 2407, 1592, 454, 22610, 1775, 538, 2039, 3799, 2260, 273, 268, 272, 267, 910, 272, 267, 910, 272, 2187, 453, 453, 258, 515, 777, 1518, 689, 2063, 3693, 609, 1126, 547, 1283, 454, 453, 453, 515, 777, 1518, 263, 12584, 9285, 8217, 267, 562, 267, 1775, 2020, 453, 258, 515, 2355, 677, 521, 868, 24219, 2609, 835, 676, 835, 454, 22610, 1775, 538, 2039, 3799, 268, 272, 267, 476, 271, 267, 910, 272, 2187, 453, 453, 258, 1873, 6260, 519, 3597, 3693, 799, 568, 3193, 547, 922, 2990, 454, 453, 453, 1492, 8217, 5157, 3910, 1492, 8217, 314, 271, 316, 815, 519, 8217, 314, 271, 3910, 1492, 8217, 5157, 2639, 453, 453, 258, 515, 777, 1518, 689, 3597, 1586, 3259, 4389, 547, 1412, 328, 262, 547, 1832, 15044, 2609, 24240, 454, 453, 453, 515, 777, 1518, 263, 1492, 8217, 267, 1775, 267, 476, 271, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 453, 12584, 9285, 8217, 815, 1496, 1704, 267, 9262, 267, 277, 267, 2420, 267, 7918, 267, 274, 267, 1724, 267, 6078, 2639, 13537, 263, 12584, 9285, 8217, 994, 453, 515, 777, 31374, 263, 12584, 9285, 8217, 994, 13537, 263, 12584, 9285, 8217, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 15578, 661, 4041, 300, 19006, 5508, 23370, 22218, 454, 4596, 299, 3036, 267, 700, 12114, 267, 645, 3201, 23814, 2676, 24165, 303, 3036, 3582, 6730, 670, 2752, 300, 2177, 312, 454, 15578, 29313, 16898, 5508, 23333, 3036, 454, 4596, 299, 3036, 6789, 589, 20219, 11586, 5357, 454, 4596, 299, 27633, 6730, 570, 4932, 25807, 2969, 7838, 2464, 454, 305, 3633, 267, 10758, 3198, 12283, 267, 6730, 962, 21822, 8582, 25758, 454, 3008, 12569, 5746, 28714, 23166, 5990, 590, 7419, 6730, 454, 22664, 654, 2752, 300, 23333, 27633, 454, 293, 23808, 12778, 570, 22379, 14408, 293, 4953, 312, 30316, 2839, 5085, 2562, 2464, 454, 272, 269, 1411, 1590, 4163, 1352, 1513, 267, 23805, 267, 543, 9378, 678, 26802, 3068, 1524, 563, 273, 269, 2142, 2386, 547, 796, 680, 1872, 782, 14233, 1310, 946, 563, 274, 269, 29828, 532, 6191, 1590, 581, 796, 680, 28289, 1354, 4657, 513, 13549, 610, 513, 454, 275, 269, 1879, 5969, 5958, 267, 621, 454, 293, 23808, 12778, 570, 22379, 14160, 19798, 4629, 6865, 30316, 2839, 5085, 2562, 2464, 6730, 454, 272, 269, 2142, 593, 942, 547, 1362, 267, 4712, 547, 2253, 2324, 563, 273, 269, 3143, 1426, 610, 16098, 616, 15868, 538, 519, 7802, 2978, 563, 274, 269, 2353, 1362, 960, 543, 3785, 616, 547, 581, 5249, 593, 538, 1362, 267, 8259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2368, 1004, 3314, 519, 1919, 676, 1603, 4967, 547, 2933, 269, 3973, 789, 4734, 519, 4967, 538, 6654, 476, 4025, 267, 971, 607, 593, 519, 3349, 610, 593, 519, 6989, 538, 519, 1647, 540, 519, 2713, 4055, 269, 594, 1810, 1405, 1589, 594, 899, 547, 2328, 4967, 547, 8885, 269, 4107, 540, 519, 942, 594, 6336, 873, 610, 7340, 547, 1413, 693, 873, 2394, 621, 781, 1932, 3735, 269, 594, 4782, 547, 946, 606, 15372, 9219, 547, 2995, 803, 1018, 594, 1058, 798, 269, 594, 723, 4557, 15372, 23234, 538, 1250, 2777, 269, 1358, 1223, 2995, 803, 827, 1919, 269, 1280, 1383, 267, 952, 594, 723, 547, 1118, 513, 15146, 1289, 693, 513, 1978, 942, 267, 594, 3513, 1305, 606, 15372, 9219, 547, 979, 1055, 513, 1906, 3764, 2038, 543, 2322, 519, 9219, 676, 519, 15146, 269, 2107, 952, 594, 1616, 547, 4585, 513, 1978, 8613, 1982, 267, 594, 3513, 1305, 606, 15372, 9219, 693, 519, 1318, 942, 543, 2322, 519, 9219, 593, 1283, 540, 519, 7641, 1305, 269, 594, 666, 3314, 3592, 4376, 952, 594, 946, 1250, 23234, 269, 1717, 267, 3006, 606, 15372, 9219, 4422, 1055, 543, 594, 1810, 1405, 917, 1018, 621, 1797, 269, 594, 2141, 3314, 4259, 621, 267, 855, 594, 798, 711, 917, 1946, 594, 1305, 621, 269, 1403, 519, 9219, 568, 676, 519, 15146, 267, 594, 917, 594, 949, 723, 1305, 621, 547, 2995, 803, 547, 1289, 2576, 267, 855, 594, 666, 1405, 581, 2386, 269, 594, 1522, 723, 1305, 621, 547, 2995, 8885, 602, 18825, 729, 547, 1289, 803, 693, 513, 1978, 942, 269, 6884, 606, 15372, 9219, 666, 1405, 948, 803, 1317, 567, 9041, 476, 4586, 271, 269, 594, 2322, 519, 9219, 538, 513, 4636, 1747, 454, 272, 269, 519, 9219, 4422, 4636, 454, 273, 269, 950, 519, 9219, 4422, 1055, 267, 594, 7340, 1946, 594, 1305, 621, 454, 274, 269, 594, 6415, 711, 2386, 7247, 594, 1058, 1289, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19868, 538, 547, 2069, 2749, 547, 2263, 519, 3135, 1210, 707, 1126, 779, 2845, 538, 269, 898, 568, 606, 2228, 4199, 585, 1453, 689, 9907, 1614, 543, 7028, 519, 6437, 538, 1114, 2127, 540, 1565, 552, 3052, 269, 1297, 30053, 543, 2962, 8964, 563, 14946, 25478, 543, 1297, 1983, 910, 979, 856, 585, 513, 3802, 543, 1413, 585, 2338, 607, 596, 979, 552, 3052, 269, 1286, 1297, 10824, 543, 2338, 593, 4395, 9885, 269, 11559, 519, 1453, 547, 1293, 519, 1919, 789, 1294, 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 ]

[ 0, 258, 10112, 9892, 7358, 2209, 1477, 258, 10112, 9892, 12427, 616, 1031, 547, 3651, 1871, 547, 513, 4756, 1477, 258, 20491, 16875, 7151, 19930, 12791, 1477, 258, 567, 815, 4449, 1535, 284, 276, 25639, 1535, 284, 276, 1477, 258, 567, 6834, 3546, 2473, 23785, 276, 23526, 1535, 24210, 266, 276, 1477, 258, 567, 20699, 3546, 1535, 268, 284, 276, 23526, 1535, 24210, 268, 276, 1477, 258, 567, 2608, 284, 3546, 1535, 265, 284, 276, 23526, 1535, 24210, 265, 276, 1477, 258, 567, 1315, 284, 3546, 1535, 270, 284, 276, 23526, 1535, 24210, 270, 276, 1477, 258, 567, 4939, 284, 3546, 2473, 260, 284, 276, 1477, 258, 567, 12262, 284, 25639, 1535, 2260, 284, 276, 1477, 258, 567, 2878, 284, 25639, 1535, 1262, 284, 276, 1477, 258, 567, 17851, 3546, 1535, 261, 284, 276, 1477, 258, 567, 1923, 284, 3546, 2473, 347, 284, 276, 1477, 258, 567, 9745, 284, 3546, 1535, 317, 284, 276, 1477, 258, 567, 23645, 3546, 1535, 9563, 284, 276, 1477, 258, 567, 24177, 3546, 1535, 283, 27045, 276, 5897, 2745, 2891, 16029, 7084, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 2745, 16325, 272, 267, 11133, 273, 10142, 2745, 2891, 23785, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 6834, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 268, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 20699, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 265, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 2608, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 270, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 1315, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 260, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 4939, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 2260, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 12262, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 1262, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 2878, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 261, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 17851, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 347, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 1923, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 317, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 9745, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 9563, 284, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 23645, 284, 1003, 273, 1477, 2745, 16325, 272, 10142, 2745, 2891, 28843, 5106, 14744, 11133, 272, 815, 476, 1015, 1477, 11133, 273, 815, 476, 274, 1477, 11133, 272, 24177, 284, 1003, 273, 1477, 2745, 16325, 272, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 568, 606, 2534, 593, 4197, 519, 2776, 600, 1076, 540, 519, 2136, 2276, 9139, 269, 898, 568, 513, 9906, 5530, 6651, 609, 513, 2871, 3660, 11872, 11314, 8018, 1519, 513, 11819, 8382, 6206, 269, 634, 9906, 5530, 6651, 609, 519, 2871, 3660, 11872, 11314, 8018, 8100, 519, 8419, 4841, 3872, 2200, 5850, 281, 4197, 519, 2776, 600, 1076, 563, 1607, 568, 513, 9906, 5530, 6651, 602, 2882, 513, 2871, 3660, 11872, 11314, 8018, 543, 513, 11819, 8382, 6206, 547, 13173, 519, 8419, 4841, 3872, 2200, 20861, 281, 4197, 519, 2776, 600, 1076, 563, 4467, 18680, 609, 8419, 595, 643, 923, 5484, 577, 5658, 281, 9399, 269, 278, 5861, 269, 272, 269, 277, 19873, 519, 15752, 540, 519, 2776, 600, 1076, 540, 519, 9139, 563, 2252, 596, 798, 711, 723, 513, 2780, 585, 1142, 2875, 267, 596, 616, 2111, 547, 1459, 519, 5850, 607, 513, 2898, 1362, 2534, 11264, 1142, 2534, 607, 596, 3356, 998, 519, 5850, 269, 1403, 596, 723, 513, 5100, 4580, 267, 1053, 666, 2347, 519, 2534, 693, 741, 10160, 267, 14350, 610, 609, 4891, 267, 543, 1287, 2097, 547, 519, 5100, 4580, 547, 1459, 519, 2626, 269, 1403, 596, 723, 5904, 610, 513, 15291, 585, 1142, 2875, 267, 1053, 666, 2347, 519, 5850, 543, 1039, 4267, 607, 789, 3356, 998, 519, 5850, 693, 741, 1378, 10605, 269, 23657, 1259, 267, 1053, 666, 1287, 946, 519, 4976, 607, 513, 1353, 3391, 585, 513, 7688, 610, 519, 7736, 540, 6092, 11929, 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 ]

[ 0, 288, 573, 2106, 595, 4592, 2421, 692, 1708, 273, 268, 6021, 268, 6187, 692, 1692, 547, 6961, 602, 5086, 20312, 10725, 540, 1318, 5086, 6906, 13235, 1318, 2587, 1194, 693, 645, 568, 13902, 20312, 10725, 540, 3791, 2427, 8028, 692, 1712, 329, 545, 1695, 325, 322, 692, 5194, 6169, 602, 713, 568, 1152, 3020, 585, 513, 476, 3393, 268, 3393, 268, 3445, 1318, 6906, 563, 2252, 519, 5086, 20312, 10725, 540, 519, 1318, 5086, 568, 13902, 547, 519, 30494, 267, 1287, 519, 6906, 4646, 676, 519, 20312, 10725, 814, 513, 476, 3393, 5086, 630, 321, 529, 31637, 519, 1318, 5086, 264, 543, 513, 476, 3445, 5086, 630, 704, 12993, 264, 865, 519, 824, 5086, 814, 547, 581, 476, 3393, 563, 11997, 519, 3312, 6906, 568, 476, 3393, 268, 3393, 268, 3445, 780, 296, 1810, 1405, 1589, 519, 3948, 596, 616, 3843, 547, 6961, 568, 3020, 585, 1022, 1318, 6906, 269, 3371, 568, 1946, 563, 4131, 519, 1079, 11105, 5011, 540, 519, 1318, 6906, 581, 6719, 676, 10321, 267, 589, 815, 630, 271, 28083, 1070, 645, 815, 630, 321, 267, 271, 1070, 1287, 519, 30494, 540, 519, 6906, 1131, 581, 645, 5025, 815, 630, 321, 16427, 320, 264, 676, 519, 25521, 1876, 269, 2913, 519, 6152, 966, 815, 630, 272, 267, 272, 7565, 514, 1249, 267, 1022, 6152, 609, 5086, 476, 3393, 5232, 1040, 8074, 602, 966, 568, 606, 5086, 20312, 10725, 540, 519, 1318, 5086, 563, 3086, 267, 952, 649, 1491, 519, 12297, 1587, 540, 966, 543, 645, 5025, 267, 543, 1305, 621, 3160, 547, 476, 271, 4433, 1550, 649, 1616, 873, 547, 581, 13902, 1040, 1284, 1205, 536, 8584, 815, 476, 271, 269, 4935, 966, 568, 13902, 547, 519, 824, 2427, 952, 543, 1152, 952, 536, 815, 513, 780, 2710, 596, 723, 513, 2147, 2243, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 288, 518, 18209, 8030, 1685, 543, 27459, 1047, 519, 1374, 267, 1646, 267, 5478, 543, 5826, 960, 540, 782, 2010, 540, 8184, 6472, 269, 901, 949, 1331, 4108, 543, 19742, 7098, 6955, 6951, 267, 21484, 641, 1562, 267, 28862, 267, 10131, 6472, 267, 14361, 267, 15408, 267, 543, 1852, 543, 5583, 1949, 563, 291, 583, 625, 1299, 570, 3696, 454, 288, 518, 18209, 8030, 949, 1685, 519, 1739, 4247, 281, 17839, 543, 1374, 8484, 267, 8484, 2694, 543, 1489, 3937, 676, 8600, 12400, 543, 1818, 6310, 9273, 267, 1419, 29211, 676, 2780, 1949, 9188, 793, 12381, 547, 1949, 267, 971, 607, 4492, 610, 2011, 14555, 267, 543, 7291, 10380, 5773, 17238, 4255, 547, 2268, 519, 2773, 540, 606, 8484, 610, 851, 267, 610, 547, 2327, 1374, 16551, 543, 2011, 10290, 1465, 4170, 616, 544, 1115, 10967, 341, 1047, 519, 10198, 540, 2011, 325, 29707, 543, 519, 10380, 540, 9817, 267, 7405, 543, 824, 3937, 630, 1721, 1383, 267, 950, 16459, 3063, 4492, 13688, 267, 14045, 1141, 519, 13688, 616, 547, 581, 5116, 543, 10992, 602, 519, 1489, 2497, 540, 519, 8484, 568, 2178, 2614, 547, 4163, 519, 3063, 2597, 264, 514, 4034, 580, 622, 8959, 9817, 610, 824, 18229, 3334, 16467, 5773, 585, 519, 7816, 540, 18229, 3334, 323, 9057, 710, 543, 4383, 16131, 585, 18203, 543, 5826, 817, 612, 7344, 1949, 267, 8184, 4162, 543, 8484, 2773, 4820, 4602, 622, 538, 8184, 1449, 15961, 547, 2268, 1491, 11325, 9883, 267, 2557, 540, 18214, 267, 588, 718, 11250, 267, 812, 4141, 12320, 4599, 1006, 543, 13941, 19206, 24834, 10663, 1007, 543, 1031, 8484, 543, 18973, 1761, 4136, 553, 619, 1759, 593, 741, 4681, 604, 2324, 585, 519, 6406, 28645, 8881, 16958, 267, 2327, 519, 2011, 10290, 1465, 540, 8241, 8484, 676, 12570, 519, 10672, 781, 1344, 543, 519, 8484, 781, 2497, 267, 5122, 543, 1285, 542, 923, 7405, 543, 1379, 2371, 563, 268, 2972, 2930, 543, 4702, 2238, 10763, 543, 1966, 9010, 2702, 1434, 5711, 543, 2854, 2792, 1983, 4052, 543, 3860, 2702, 2111, 547, 960, 1510, 15569, 543, 3398, 5539, 2111, 547, 960, 607, 851, 540, 513, 2319, 3339, 7990, 5075, 949, 581, 2838, 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 ]

[ 0, 7804, 1516, 7726, 281, 1215, 666, 649, 946, 938, 12823, 547, 2263, 267, 1451, 267, 543, 1332, 1247, 649, 1404, 888, 29248, 10062, 9040, 625, 616, 2348, 865, 1454, 1187, 713, 3018, 1565, 827, 811, 10444, 2238, 998, 513, 15226, 27059, 1788, 269, 8625, 267, 789, 1500, 13897, 11680, 267, 4682, 593, 513, 2470, 3802, 547, 1039, 547, 741, 19471, 1404, 323, 965, 267, 543, 1705, 6978, 16493, 609, 10036, 269, 2859, 2238, 547, 2097, 1985, 3018, 2336, 12812, 1934, 585, 519, 4081, 11706, 563, 12812, 1934, 585, 519, 4081, 11706, 269, 5130, 476, 1704, 1107, 9410, 13162, 3751, 12789, 269, 4303 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 15828, 17999, 28175, 11415, 1532, 15277, 26690, 268, 16029, 7302, 541, 3030, 13045, 5035, 8827, 912, 825, 1219, 3193, 21920, 27001, 22949, 13142, 3030, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 1365, 815, 910, 272, 454, 1038, 4484, 29223, 815, 31460, 13872, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 1535, 815, 521, 5157, 2639, 2018, 4484, 29223, 20572, 316, 815, 4484, 29223, 10947, 3287, 267, 1496, 8079, 1341, 1496, 328, 2639, 27030, 1038, 585, 7158, 538, 4484, 29223, 269, 11161, 10031, 2018, 1365, 815, 3193, 263, 4046, 267, 3193, 263, 21752, 264, 910, 1295, 263, 21752, 264, 910, 476, 272, 994, 13872, 1038, 2132, 1365, 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 ]

[ 0, 11415, 284, 1598, 9272, 15405, 12248, 284, 271, 454, 1721, 1775, 538, 5569, 912, 476, 952, 1775, 269, 1170, 10628, 10031, 825, 1293, 23785, 272, 454, 2745, 6262, 870, 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 ]

[ 0, 9223, 281, 769, 799, 2197, 941, 13338, 15024, 15748, 538, 476, 4198, 275, 267, 4611, 538, 513, 1007, 11156, 950, 6628, 11292, 1582, 3766, 17922, 538, 476, 3422, 275, 888, 12585, 281, 3703, 670, 1180, 32136, 454, 2704, 328, 1162, 281, 2051, 3415, 540, 3703, 670, 1180, 32136, 267, 3703, 670, 1180, 32136, 267, 3703, 554, 1180, 32136, 267, 645, 269, 12968, 267, 22477, 2051, 3415, 540, 3703, 670, 1180, 32136 ]

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

[ 0, 12385, 3012, 673, 3206, 568, 1271, 585, 782, 2818, 540, 513, 2413, 2486, 269, 2311, 634, 30745, 649, 2832, 547, 1628, 6690, 262, 6015, 543, 5512, 6690, 547, 1020, 15131, 585, 543, 18399, 540, 519, 3860, 543, 1966, 6061, 3344, 540, 6128, 563, 763, 1641, 568, 25471, 547, 23722, 543, 10453, 616, 6026, 538, 5036, 689, 700, 4353, 269, 21989, 616, 9415, 547, 1589, 10446, 543, 547, 1294, 519, 10083, 543, 2956, 540, 6128, 538, 4948, 1272, 269, 589, 3099, 540, 3450, 543, 1565, 2238, 538, 519, 4928, 267, 1519, 6292, 960, 267, 1895, 960, 543, 1367, 2259, 267, 1683, 6690, 609, 519, 4316, 547, 8831, 741, 1966, 6061, 1983, 543, 547, 1020, 2312, 7744, 543, 9266, 2219, 269, 32167, 2812, 616, 9411, 12422, 585, 519, 2817, 19556, 12694, 543, 621, 568, 8912, 585, 1896, 547, 3356, 547, 7766, 21448, 269, 634, 4972, 5781, 5036, 2591, 267, 543, 6690, 616, 9415, 547, 7390, 2199, 15872, 267, 2319, 2621, 543, 9457, 5035, 525, 269, 13174, 11833, 8255, 2899, 513, 3018, 1310, 1153, 585, 772, 7656, 910, 772, 4353, 6690, 269, 3371, 6690, 616, 2111, 547, 960, 609, 1866, 540, 1114, 6502, 543, 2147, 4690, 607, 1134, 607, 547, 723, 1187, 15029, 2502, 538, 1966, 6061, 269, 634, 4972, 6585, 513, 645, 1329, 333, 658, 10658, 14794, 7420, 4303, 585, 6690, 538, 772, 7656, 543, 700, 4353, 799, 3947, 6690, 519, 4960, 547, 1020, 741, 14694, 3206, 267, 1966, 6061, 543, 2319, 2679, 1983, 1282, 606, 2962, 14095, 8400, 563, 5978, 3483, 568, 547, 1020, 1142, 20194, 781, 6310, 2702, 547, 519, 5207, 2009, 1377, 543, 547, 6536, 606, 1719, 538, 519, 1641, 269, 2353, 6690, 616, 9411, 585, 519, 14451, 570, 1512, 23722, 543, 519, 1641, 568, 513, 2442, 3903, 538, 519, 14520, 628, 4813, 267, 609, 513, 1434, 19718, 538, 513, 2039, 540, 6030, 543, 11141, 2164, 269, 2037, 28387, 328, 2880, 267, 8149, 543, 3839, 5234, 616, 21464, 609, 741, 942, 547, 948, 6690, 3544, 4245, 543, 972, 568, 513, 12353, 13174, 29100, 769, 8400, 267, 6131, 547, 713, 1489, 267, 799, 568, 4371, 12353, 1282, 513, 12899, 5662, 563, 2690, 519, 23722, 3144, 676, 11158, 689, 4832, 476, 1001, 273, 27477, 4945, 1934, 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 ]

[ 0, 3698, 10002, 871, 307, 340, 921, 8266, 10857, 560, 2187, 825, 1007, 331, 560, 815, 11713, 825, 585, 512, 538, 32102, 912, 1038, 1007, 331, 560, 6910, 6025, 314, 271, 7481, 1038, 1007, 331, 560, 6910, 6025, 314, 272, 7481, 825, 2132, 1007, 331, 560, 7531, 3698, 3640, 8266, 273, 307, 340, 921, 10857, 560, 2187, 825, 2132, 1592, 18750, 760, 10857, 560, 314, 271, 15311, 273, 3910, 32102, 314, 272, 15311, 273, 316, 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 ]

[ 0, 3698, 5192, 21848, 10031, 825, 2085, 815, 703, 9272, 2891, 19152, 6520, 281, 27328, 825, 2132, 2085, 692, 3698, 18224, 20479, 263, 720, 2187, 825, 952, 2085, 13843, 476, 271, 543, 2085, 10922, 476, 1321, 912, 1038, 1820, 2891, 16908, 8609, 281, 17718, 5602, 825, 8640, 2085, 13843, 476, 1724, 543, 2085, 10922, 476, 1704, 912, 1038, 1820, 2891, 16908, 8609, 281, 24635, 5602, 825, 8640, 2085, 2652, 476, 1240, 912, 1038, 1820, 2891, 16908, 8609, 281, 1546, 8117, 5602, 825, 3116, 912, 1038, 1820, 2891, 16908, 8609, 281, 16989, 15419, 720, 815, 5192, 21848, 10797, 11514, 2452, 20479, 263, 720, 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 ]

[ 0, 258, 3487, 658, 11186, 3830, 609, 3355, 2175, 692, 4517, 865, 594, 1616, 547, 4194, 519, 1739, 3830, 267, 1641, 547, 891, 3355, 2175, 1384, 7445, 579, 3709, 1777, 348, 910, 579, 3709, 16282, 348, 815, 476, 277, 340, 317, 276, 23444, 279, 266, 275, 320, 264, 340, 317, 274, 24179, 273, 266, 275, 320, 264, 340, 6911, 7445, 579, 263, 271, 21726, 21174, 11927, 327, 3287, 1070, 579, 4671, 263, 271, 21726, 6661, 271, 6911, 2691, 594, 946, 715, 9169, 9876, 547, 4194, 1369, 519, 11996, 4399, 1496, 271, 267, 1015, 316, 1422, 9392, 30585, 276, 267, 276, 316, 8961, 594, 6836, 713, 607, 513, 3009, 1384, 301, 9169, 9876, 314, 19127, 291, 314, 340, 314, 339, 267, 1535, 3910, 512, 267, 512, 316, 910, 667, 314, 340, 314, 339, 267, 1535, 3910, 1535, 267, 1535, 316, 2652, 454, 277, 579, 314, 339, 267, 1535, 316, 317, 276, 1341, 630, 279, 266, 275, 320, 264, 579, 314, 339, 267, 1535, 316, 317, 274, 910, 630, 273, 266, 275, 320, 264, 579, 314, 339, 267, 1535, 16689, 340, 314, 271, 267, 1535, 316, 2652, 18000, 327, 20572, 3910, 667, 314, 340, 314, 271, 267, 1535, 3910, 512, 316, 2652, 476, 271, 348, 2676, 340, 314, 339, 267, 1535, 3910, 2715, 339, 267, 476, 271, 267, 476, 1015, 9574, 2715, 343, 267, 910, 276, 267, 476, 276, 348, 6540, 454, 3719, 4223, 11490, 320, 1287, 7024, 519, 1739, 1899, 1384, 301, 9169, 9876, 15311, 1372, 336, 333, 281, 17817, 610, 1592, 540, 4834, 4397, 3079, 540, 6936, 538, 519, 1101, 4661, 7531, 3602, 519, 6936, 14751, 566, 9583, 4016, 547, 519, 2034, 3355, 2783, 269, 1548, 568, 621, 602, 594, 1705, 4636, 286, 1772, 972, 4376, 4636, 609, 519, 3009, 286, 1772, 972, 4376, 4636, 609, 519, 1966, 2496, 8894, 291, 314, 340, 314, 271, 267, 1535, 3910, 512, 316, 2652, 476, 271, 568, 959, 643, 6053, 3020, 1317, 579, 314, 271, 21726, 316, 1281, 711, 4096, 593, 512, 269, 1677, 2328, 519, 3830, 596, 2446, 267, 2328, 621, 607, 14216, 29719, 314, 272, 267, 476, 271, 6012, 340, 6012, 271, 267, 1535, 4940, 1306, 513, 19444, 607, 2943, 14542, 609, 14216, 29719, 267, 596, 1223, 723, 9112, 713, 4082, 607, 667, 314, 340, 314, 339, 267, 1535, 3910, 512, 316, 1315, 269, 512, 9847, 476, 271, 267, 1775, 4318, 269, 1491, 519, 12045, 1101, 267, 543, 12990, 519, 1871, 512, 284, 271, 1152, 19952, 269, 1107, 1109, 306, 345, 21966, 14369, 4924, 476, 275, 1412, 1691, 693, 476, 1626, 281, 2918, 692, 7712, 579, 20572, 267, 271, 316, 1281, 711, 4096, 593, 512, 1114, 11868, 5012, 547, 476, 271, 2525, 271, 269, 898, 1058, 581, 14216, 29719, 314, 272, 267, 476, 271, 6012, 340, 6012, 271, 267, 1535, 316, 2652, 476, 271, 4746, 585, 707, 1966, 835, 2115, 930, 10465, 2175, 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 ]

[ 0, 589, 1906, 1296, 3516, 267, 594, 729, 2324, 607, 606, 11653, 693, 513, 2101, 23825, 2754, 269, 1284, 941, 25461, 609, 3384, 543, 7598, 513, 5969, 12967, 2011, 8878, 1062, 602, 1131, 22499, 519, 1259, 938, 4108, 14014, 938, 22839, 269, 2311, 1101, 267, 3388, 4682, 12347, 269, 1284, 5342, 3573, 1382, 543, 1646, 267, 7318, 3875, 30384, 267, 543, 5555, 12306, 593, 513, 1374, 602, 649, 5156, 1131, 581, 11212, 2500, 780, 2171, 6410, 4464, 609, 5663, 267, 2679, 6216, 1007, 15327, 543, 1427, 20995, 938, 4600, 547, 6023, 519, 1950, 2504, 3157, 2838, 585, 713, 1007, 2029, 269, 898, 729, 513, 4101, 855, 3078, 942, 267, 543, 649, 782, 5433, 10583, 547, 581, 851, 540, 1945, 865, 14262, 780, 3719, 1287, 267, 9568, 13351, 269, 4438, 835, 540, 938, 3803, 21448, 540, 4152, 267, 649, 4362, 513, 2565, 16950, 538, 519, 1062, 781, 5752, 269, 1403, 15181, 267, 519, 2011, 8878, 1062, 1223, 5732, 31495, 13133, 7874, 8484, 607, 10546, 6937, 543, 1491, 873, 1524, 269, 901, 729, 15069, 30849, 267, 543, 649, 6785, 649, 1185, 547, 979, 1394, 547, 519, 5373, 4604, 780, 763, 2319, 729, 10969, 730, 269, 1284, 1185, 2322, 865, 1454, 942, 267, 4674, 267, 543, 2200, 883, 713, 1788, 267, 543, 1631, 621, 8604, 899, 621, 729, 782, 585, 4986, 269, 1809, 3079, 540, 4758, 909, 267, 649, 23060, 1524, 269, 1284, 5249, 1472, 519, 9219, 267, 26311, 936, 1169, 1899, 540, 3009, 543, 4881, 9118, 13502, 2394, 649, 6368, 4857, 519, 1966, 543, 3357, 909, 609, 513, 3070, 780, 2005, 7012, 1405, 2653, 267, 543, 972, 941, 1082, 3735, 17334, 543, 12699, 9840, 2059, 519, 1259, 269, 1809, 6038, 267, 649, 7307, 547, 4368, 519, 3390, 543, 2347, 519, 1788, 6707, 269, 1656, 950, 519, 2011, 8878, 1062, 729, 6368, 18611, 267, 621, 9863, 547, 581, 1256, 811, 2500, 982, 649, 1185, 8385, 12479, 780, 19185, 1394, 593, 602, 1995, 267, 594, 993, 18056, 540, 875, 1271, 16177, 543, 8990, 666, 581, 538, 519, 3068, 540, 14488, 269, 4634, 950, 1919, 3100, 6926, 752, 652, 267, 621, 781, 2629, 547, 1832, 11319, 4464, 543, 2760, 2285, 909, 269, 5221, 3006, 267, 519, 6574, 24984, 2097, 689, 519, 1034, 6397, 2591, 269, 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, 18658, 568, 519, 1184, 585, 3384, 543, 7598, 1007, 2011, 8878, 4066, 543, 1949, 888, 296, 798, 711, 723, 1699, 1702, 540, 519, 1184, 585, 3384, 543, 7598, 1007, 2011, 8878, 4066, 543, 1949, 269, 2705, 267, 538, 2489, 267, 1934, 616, 519, 2596, 3268, 543, 9270, 1384, 272, 269, 2932, 1382, 543, 1646, 281, 713, 3322, 15388, 1761, 4066, 543, 12570, 741, 23250, 269, 713, 949, 1331, 7811, 2090, 267, 8047, 1382, 267, 543, 1486, 19685, 780, 273, 269, 4152, 281, 2899, 513, 9621, 2029, 814, 1044, 4857, 267, 513, 3126, 540, 4255, 786, 581, 5342, 547, 3313, 922, 12117, 543, 10727, 269, 891, 4255, 949, 581, 5342, 538, 513, 8047, 610, 538, 2361, 2175, 780, 274, 269, 5663, 281, 2899, 513, 2029, 814, 1044, 8810, 2500, 267, 621, 786, 991, 547, 581, 14475, 585, 7839, 946, 269, 713, 949, 2154, 2679, 1007, 15327, 610, 27164, 7257, 1154, 4540, 5663, 3515, 780, 275, 269, 5610, 281, 519, 2011, 8878, 2029, 786, 991, 547, 581, 7471, 883, 4540, 8878, 1949, 267, 799, 949, 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 ]

[ 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 32085, 15350, 543, 32522, 2496, 7692, 281, 670, 7825, 267, 594, 1589, 865, 267, 3884, 1405, 621, 1945, 899, 19551, 1141, 1919, 616, 610, 4466, 707, 1259, 1472, 4025, 2496, 8334, 281, 22549, 256, 898, 781, 938, 2634, 781, 2702, 547, 3314, 6753, 543, 6330, 998, 5624, 269, 1280, 1383, 267, 798, 596, 3314, 875, 547, 1205, 547, 938, 1153, 2496, 7692, 281, 8786, 267, 594, 666, 4605, 519, 8905, 538, 1250, 2212, 910, 2490, 1318, 693, 519, 2462, 3529, 267, 1287, 2451, 693, 519, 6288, 267, 543, 2786, 6619, 547, 3914, 519, 1153, 10766, 780, 8334, 281, 2334, 781, 8901, 3965, 538, 2962, 256, 3807, 899, 875, 649, 946, 21056, 547, 948, 721, 3314, 11507, 267, 1082, 2831, 849, 7048, 593, 741, 8901, 3965, 585, 6668, 780, 7692, 281, 7937, 267, 899, 875, 5017, 22109, 1279, 9883, 1210, 519, 7158, 540, 6801, 543, 21056, 2496, 8334, 281, 25999, 256, 1656, 1934, 781, 1776, 3364, 910, 3006, 267, 950, 649, 2911, 827, 2469, 12341, 267, 649, 1522, 3277, 547, 1919, 538, 519, 10450, 1510, 12799, 20803, 873, 269, 4197, 1346, 13865, 10881, 2337, 721, 1246, 7391, 1732, 780, 7692, 281, 2052, 596, 2285, 803, 606, 1383, 2496, 8334, 281, 17610, 269, 5994, 2576, 6031, 267, 834, 7883, 2250, 519, 4544, 2777, 267, 1491, 513, 2451, 267, 543, 596, 3513, 1265, 621, 1701, 1358, 2811, 13288, 547, 8901, 3965, 543, 12445, 2094, 789, 8263, 596, 917, 1018, 519, 4544, 2777, 5654, 899, 543, 922, 4087, 780, 7692, 281, 20944, 621, 256, 1924, 8901, 3965, 568, 1898, 585, 1312, 10188, 519, 1158, 543, 1620, 7391, 827, 4025, 780, 8334, 281, 1411, 3893, 621, 256, 1635, 9878, 3007, 547, 938, 1604, 543, 2679, 2790, 7851, 267, 649, 666, 1847, 1472, 7561, 1247, 849, 1373, 2111, 547, 1174, 1866, 950, 789, 4766, 8846, 610, 6753, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21788, 4753, 281, 968, 15275, 2305, 540, 513, 19716, 2223, 538, 17912, 22588, 569, 267, 5292, 269, 476, 4391, 267, 3143, 269, 476, 274, 267, 11354, 267, 476, 2735, 275, 267, 6032, 269, 476, 4391, 1700, 6246, 563, 314, 1103, 519, 1739, 1557, 267, 23765, 23607, 519, 5837, 1232, 611, 775, 540, 16653, 542, 328, 779, 3197, 538, 22384, 540, 513, 19716, 24358, 11854, 1136, 540, 4414, 19164, 267, 16653, 542, 328, 2899, 1767, 602, 621, 729, 711, 513, 1267, 855, 1382, 267, 606, 19038, 6609, 799, 1223, 4019, 1175, 607, 8308, 547, 782, 1010, 7766, 2239, 8874, 267, 2394, 1631, 269, 769, 22384, 540, 513, 19716, 267, 1010, 1101, 7969, 4670, 538, 5176, 1079, 5756, 267, 272, 16653, 542, 328, 19597, 919, 543, 1201, 1149, 519, 6101, 543, 21044, 29293, 1500, 4505, 267, 16471, 24672, 519, 7493, 687, 540, 519, 2296, 25082, 8874, 609, 519, 811, 15982, 2113, 24586, 543, 4514, 7154, 540, 18572, 540, 519, 7969, 8874, 269, 769, 1840, 547, 5373, 689, 1010, 1991, 6901, 609, 2681, 267, 3350, 267, 3280, 267, 543, 1395, 5653, 267, 16653, 542, 328, 6001, 525, 1010, 7453, 999, 593, 519, 946, 540, 6382, 6671, 6101, 3457, 676, 11766, 532, 3875, 8755, 10587, 543, 16148, 7696, 338, 267, 606, 11606, 540, 3063, 1673, 773, 1326, 545, 12462, 6124, 23027, 26158, 5016, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 6312, 658, 15350, 543, 32522, 257, 607, 851, 540, 834, 25787, 1315, 10960, 1299, 22414, 10017, 2580, 6098, 693, 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 ]

[ 0, 25387, 267, 519, 1374, 543, 2504, 540, 1034, 1893, 9162, 616, 676, 1875, 5025, 32106, 6340, 3549, 799, 2164, 538, 26516, 7526, 609, 938, 2528, 543, 1893, 269, 3733, 2832, 568, 547, 1374, 9162, 267, 2523, 585, 519, 12428, 1893, 267, 607, 606, 6259, 14704, 8885, 267, 547, 5963, 1459, 519, 3178, 543, 17381, 540, 519, 12428, 1893, 267, 10223, 782, 621, 666, 2709, 563, 288, 32106, 1893, 1565, 9162, 616, 3274, 25718, 519, 1482, 1404, 2409, 543, 2326, 1031, 585, 5824, 4654, 282, 1034, 540, 873, 946, 519, 835, 3562, 14633, 4484, 4276, 1505, 269, 2060, 5824, 16707, 267, 972, 616, 1079, 2081, 540, 1603, 1142, 4484, 281, 3854, 5022, 543, 1507, 2013, 5022, 269, 1717, 267, 538, 12428, 972, 616, 2185, 2081, 547, 2328, 1142, 4484, 4470, 593, 922, 13307, 538, 519, 2262, 910, 4098, 267, 1647, 267, 610, 1439, 910, 543, 519, 5022, 602, 2097, 1354, 610, 1310, 269, 2060, 519, 835, 3562, 14633, 1505, 1373, 23652, 547, 12428, 1893, 1565, 9162, 267, 1453, 3112, 1106, 513, 1697, 12428, 2262, 676, 11093, 5094, 5022, 1985, 547, 1142, 824, 267, 1577, 4805, 519, 5250, 540, 811, 1950, 5220, 563, 7212, 519, 23877, 540, 5022, 568, 513, 2101, 3390, 538, 1893, 9162, 267, 621, 568, 711, 519, 1152, 835, 269, 589, 1114, 2460, 540, 12428, 602, 4991, 20495, 538, 11442, 1374, 568, 519, 1114, 8677, 607, 12428, 568, 513, 2007, 29754, 545, 1893, 269, 18190, 12428, 267, 610, 674, 639, 3620, 320, 267, 568, 519, 4013, 9275, 543, 2854, 1893, 267, 1031, 538, 6101, 6381, 267, 610, 1164, 3871, 630, 2419, 691, 476, 272, 264, 971, 607, 519, 2069, 1062, 543, 2229, 19359, 269, 1717, 267, 519, 1083, 13926, 8984, 540, 519, 1893, 2501, 538, 519, 1082, 22463, 9275, 2066, 519, 6259, 2622, 269, 28064, 1893, 267, 1031, 538, 1970, 3871, 630, 2419, 691, 272, 264, 814, 1044, 8032, 543, 4957, 2066, 519, 1296, 538, 513, 10923, 2631, 4611, 538, 1082, 22463, 269, 15873, 476, 273, 16174, 1063, 2010, 540, 30351, 658, 8677, 540, 12428, 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 ]

[ 0, 21158, 1299, 15080, 454, 268, 15531, 9388, 693, 606, 1148, 9754, 2228, 6300, 454, 268, 8381, 11529, 12348, 602, 1118, 2724, 454, 268, 1215, 3610, 666, 1451, 547, 960, 609, 3237, 454, 268, 1215, 547, 2149, 707, 1286, 950, 10707, 609, 10130, 454, 268, 4208, 1565, 1058, 581, 1187, 454, 268, 27986, 707, 1286, 781, 5862, 9096, 454, 268, 1548, 4422, 883, 5929, 1835, 3518, 14735, 454, 268, 1215, 547, 18055, 609, 552, 1790, 16993, 454, 268, 7316, 547, 1265, 519, 1655, 1835, 3518, 14735, 454, 268, 16871, 519, 2591, 540, 13781, 4763, 454, 29222, 11061, 18768, 910, 31611, 11660, 454, 29222, 7998, 3785, 4001, 3214, 538, 606, 19278, 1259, 454, 27736, 666, 10625, 19421, 540, 3621, 8906, 609, 1187, 7998, 3785, 602, 4001, 543, 7038, 256, 31611, 11660, 2337, 1453, 1451, 827, 2257, 538, 513, 3946, 6823, 1259, 602, 789, 3513, 2648, 563, 268, 11559, 707, 1126, 781, 7279, 609, 1187, 7998, 3785, 602, 4001, 1200, 827, 519, 1158, 540, 2257, 269, 22320, 707, 1378, 9059, 4677, 1369, 3108, 610, 2119, 547, 21264, 519, 8904, 12413, 3539, 7599, 1025, 984, 15074, 256, 18768, 602, 786, 2285, 3214, 513, 2212, 1376, 538, 7998, 1331, 14614, 1402, 2257, 267, 12285, 1166, 889, 828, 4603, 6539, 267, 979, 1993, 344, 30437, 15074, 4603, 6539, 610, 519, 7998, 19046, 6539, 2807, 1224, 811, 454, 1607, 17048, 568, 4867, 856, 540, 6006, 563, 8923, 3406, 998, 938, 6688, 585, 1776, 17048, 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 ]

[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 7316, 1281, 4432, 6665, 2307, 519, 1268, 593, 519, 6049, 693, 519, 1439, 540, 3848, 476, 280, 547, 2743, 1864, 888, 273, 269, 3967, 564, 3081, 1352, 1031, 547, 581, 899, 13322, 13090, 563, 274, 269, 1548, 1281, 4432, 6665, 2995, 3967, 564, 827, 5128, 538, 3848, 476, 1015, 888, 275, 269, 21231, 267, 4432, 6665, 5205, 519, 1025, 1180, 7911, 547, 13322, 30668, 563, 276, 269, 769, 3848, 476, 277, 267, 1018, 1281, 4432, 6665, 798, 1354, 646, 2306, 14254, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 1281, 31130, 979, 547, 4432, 6665, 585, 948, 888, 273, 269, 4208, 568, 31130, 4313, 539, 676, 6469, 640, 888, 274, 269, 14674, 519, 10040, 538, 11968, 21634, 714, 22193, 563, 275, 269, 1548, 568, 1713, 827, 4432, 6665, 781, 6049, 1289, 689, 7200, 7313, 527, 6652, 888, 276, 269, 14674, 519, 2736, 2987, 693, 4432, 6665, 781, 1378, 1753, 563, 277, 269, 5808, 568, 12275, 21884, 888, 278, 269, 5808, 568, 23052, 344, 32573, 3626, 888, 279, 269, 14674, 4432, 6665, 781, 2078, 547, 1010, 3032, 563, 280, 269, 5808, 568, 4793, 878, 807, 918, 1803, 888, 1015, 269, 4208, 1281, 31130, 1745, 13943, 2469, 998, 1200, 9393, 781, 5638, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 24718, 543, 4334, 4432, 6665, 543, 15608, 623, 833, 607, 7980, 543, 21847, 269, 5808, 4667, 547, 581, 519, 9120, 25142, 888, 13625, 13445, 476, 273, 454, 28097, 519, 4644, 547, 18200, 781, 1915, 538, 602, 646, 5747, 3843, 547, 4688, 1010, 5067, 781, 1272, 563, 13625, 13445, 476, 274, 454, 28097, 543, 2491, 875, 834, 763, 14559, 781, 14175, 1723, 520, 257, 568, 513, 9135, 3209, 543, 1018, 1362, 5809, 621, 607, 971, 563, 1607, 3296, 3568, 476, 21878, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4002, 4864, 476, 273, 267, 476, 5908, 273, 267, 519, 476, 8618, 560, 744, 9654, 267, 799, 568, 851, 540, 519, 476, 272, 560, 23394, 1228, 267, 476, 273, 526, 10406, 540, 519, 594, 17620, 267, 568, 1869, 4092, 693, 590, 704, 787, 6807, 267, 9098, 269, 769, 1010, 4484, 267, 7917, 6645, 1010, 4651, 602, 789, 616, 7996, 693, 590, 704, 787, 6807, 585, 606, 4323, 689, 20752, 4937, 661, 6202, 543, 1010, 15555, 1819, 547, 581, 476, 736, 267, 1822, 547, 476, 1789, 267, 1822, 812, 7952, 269, 589, 2101, 851, 540, 519, 4484, 4145, 513, 4484, 602, 7902, 538, 519, 595, 32385, 10620, 968, 294, 1794, 8291, 892, 11356, 827, 519, 5742, 7952, 968, 680, 8974, 532, 1169, 1560, 540, 3388, 602, 789, 22234, 543, 9870, 595, 664, 3622, 1848, 7917, 1219, 1742, 519, 7952, 676, 7713, 602, 28532, 6105, 616, 2556, 1317, 789, 723, 968, 331, 8077, 540, 4986, 547, 3548, 1848, 7917, 32195, 519, 4484, 676, 6031, 646, 568, 1869, 29043, 609, 519, 3510, 538, 519, 476, 8618, 560, 543, 1360, 1454, 1131, 899, 547, 4734, 543, 6443, 1776, 31458, 1373, 4646, 538, 11882, 269, 630, 9558, 5296, 540, 7917, 4484, 267, 4864, 476, 273, 267, 476, 5908, 273, 994, 15507, 713, 18248, 454, 310, 2431, 3557, 2160, 23905, 262, 7981, 26888, 543, 19964, 7143, 3699, 596, 547, 938, 5816, 269, 15012, 721, 607, 649, 2671, 1344, 267, 3377, 543, 2027, 2621, 267, 5031, 938, 10070, 267, 543, 1865, 31150, 2152, 563, 2252, 596, 723, 519, 4316, 267, 5225, 3643, 721, 538, 1268, 267, 1932, 256, 1284, 2811, 4092, 593, 519, 8772, 6989, 540, 519, 14480, 8663, 7732, 593, 519, 13464, 540, 19159, 3557, 2160, 538, 4303, 2023, 267, 11882, 563, 14188, 596, 585, 16069, 676, 256 ]

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

[ 0, 258, 10563, 350, 364, 422, 365, 368, 423, 361, 372, 454, 15893, 815, 476, 271, 454, 604, 1297, 3436, 476, 274, 10778, 825, 1820, 2891, 274, 424, 368, 486, 422, 367, 376, 8442, 1948, 10563, 488, 353, 425, 492, 502, 27338, 424, 488, 353, 476, 275, 32174, 506, 32174, 478, 952, 423, 361, 372, 14602, 502, 21844, 372, 364, 424, 353, 478, 256, 630, 423, 364, 502, 423, 497, 506, 424, 489, 506, 10563, 356, 478, 424, 376, 506, 424, 499, 376, 17432, 357, 994, 19197, 1297, 2652, 476, 271, 281, 3097, 825, 1820, 2891, 15893, 32629, 498, 476, 271, 5602, 12828, 2433, 3097, 825, 1820, 2891, 274, 27338, 17432, 502, 5602, 2745, 28840, 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 ]

[ 0, 4495, 2390, 513, 942, 538, 513, 1507, 4884, 3957, 23068, 6807, 267, 972, 5030, 1082, 7874, 12543, 945, 6068, 4543, 1142, 824, 856, 269, 1358, 782, 1185, 2027, 4408, 1572, 834, 25791, 3354, 2338, 257, 799, 941, 2016, 547, 873, 950, 789, 941, 4535, 269, 901, 1297, 5280, 873, 798, 6266, 540, 1271, 1919, 899, 2469, 547, 1153, 267, 3478, 26345, 1426, 693, 519, 17365, 4558, 267, 610, 1256, 9683, 519, 4387, 950, 2576, 3893, 10413, 2439, 3080, 1554, 267, 6004, 269, 26302, 630, 15367, 729, 3743, 585, 2921, 1416, 540, 3025, 781, 2115, 264, 7691, 1945, 9490, 910, 930, 14229, 21294, 7068, 4941, 547, 21102, 1346, 2027, 1514, 3354, 2338, 256, 3502, 1152, 1131, 621, 2014, 8373, 952, 789, 3576, 2576, 3116, 781, 2012, 267, 855, 849, 1500, 621, 2352, 585, 519, 1483, 1268, 547, 2972, 1272, 538, 23068, 6807, 269, 1924, 267, 646, 4956, 547, 1711, 513, 9589, 3070, 1572, 519, 834, 15275, 640, 634, 1111, 10644, 2920, 3010, 1607, 8748, 1876, 11074, 4896, 689, 16550, 1866, 883, 2348, 1175, 835, 2582, 1259, 540, 18445, 945, 596, 616, 1107, 707, 1514, 3354, 1297, 269, 5502, 267, 1169, 12504, 538, 23068, 6807, 4607, 513, 6216, 20642, 5728, 3009, 267, 1634, 1152, 547, 2933, 543, 6004, 269, 26302, 269, 1261, 16219, 2760, 2479, 2671, 891, 11580, 609, 4896, 4849, 950, 2877, 585, 2731, 1434, 4128, 269, 2334, 1797, 1100, 811, 4687, 9479, 1282, 3756, 610, 1247, 4730, 12404, 543, 3343, 2439, 3086, 267, 2370, 3283, 1522, 4898, 875, 713, 5540, 873, 2094, 789, 1810, 1405, 979, 10918, 4805, 2943, 610, 991, 547, 3643, 7189, 1510, 544, 20207, 610, 546, 23098, 1472, 269, 4270, 267, 4952, 952, 562, 2795, 1399, 25277, 6836, 27560, 22400, 22788, 11276, 7703, 256, 1411, 9327, 1405, 1616, 602, 267, 1318, 286, 769, 519, 1482, 1259, 267, 7863, 938, 2828, 262, 1514, 3354, 2338, 8952, 873, 2922, 865, 789, 666, 2141, 1404, 1927, 25747, 780, 3383, 3314, 632, 11732, 3214, 267, 8164, 596, 5873, 827, 834, 25791, 3354, 2437, 1589, 540, 621, 607, 707, 1378, 18241, 22788, 11276, 7703, 602, 1590, 3251, 2673, 547, 596, 543, 6870, 269, 2913, 781, 948, 3262, 11587, 2429, 23068, 6807, 543, 1832, 16764, 2922, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24127, 476, 1220, 276, 2443, 634, 3883, 540, 27050, 6754, 454, 1220, 276, 27050, 6754, 3848, 476, 272, 454, 295, 2177, 269, 681, 2177, 13698, 8085, 5508, 570, 13052, 3008, 454, 289, 9128, 16800, 5990, 2475, 32764, 27516, 5508, 29187, 305, 2464, 7728, 288, 30888, 2464, 454, 20464, 476, 277, 267, 476, 1220, 276, 454, 30025, 9517, 338, 543, 14740, 634, 1111, 454, 1220, 276, 27050, 6754, 476, 272, 281, 272, 454, 16031, 269, 29150, 267, 2221, 594, 6338, 519, 14740, 634, 1111, 10644, 2920, 269, 901, 957, 454, 1492, 1977, 1004, 689, 2229, 2173, 663, 730, 7833, 1541, 13294, 602, 454, 1440, 10675, 6760, 607, 1134, 607, 519, 6057, 540, 15698, 269, 634, 2101, 11865, 540, 454, 15275, 640, 634, 1111, 10644, 2920, 10300, 1206, 519, 2259, 540, 1210, 519, 4317, 454, 15893, 607, 606, 32165, 676, 8506, 519, 4317, 8232, 10029, 454, 718, 4892, 1007, 4317, 8232, 2338, 1369, 2947, 1296, 1310, 519, 454, 1993, 519, 3915, 269, 1452, 1007, 2338, 786, 581, 519, 6852, 3656, 3959, 540, 519, 454, 663, 519, 4317, 8232, 7245, 4927, 581, 24193, 547, 2820, 592, 613, 454, 1721, 1022, 5301, 711, 1644, 547, 4317, 8232, 7245, 269, 4317, 454, 11133, 1499, 9783, 1354, 6388, 540, 713, 3915, 4927, 1100, 3476, 581, 454, 20777, 5313, 1541, 13294, 269, 2986, 1576, 267, 519, 4317, 8232, 454, 2041, 2111, 547, 946, 606, 2043, 3312, 4317, 1530, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 5274, 3004, 16751, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]

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

[ 0, 22091, 7859, 616, 2942, 2338, 269, 901, 568, 1031, 538, 2979, 513, 2603, 563, 17463, 20581, 547, 20581, 454, 1492, 20800, 568, 513, 2942, 454, 13043, 1362, 267, 5687, 18852, 563, 27078, 894, 2338, 1797, 454, 1103, 2979, 519, 1611, 568, 519, 3328, 269, 1403, 596, 1616, 519, 1611, 540, 513, 1895, 540, 2338, 596, 1039, 873, 782, 1927, 269, 3973, 596, 7941, 676, 519, 875, 1082, 2338, 972, 616, 563, 13043, 568, 1500, 540, 2338, 543, 4632, 269, 4107, 1919, 538, 519, 1158, 4125, 2979, 269, 1677, 803, 267, 621, 1797, 2338, 543, 2338, 4534, 4986, 3116, 563, 13433, 543, 1310, 596, 9096, 707, 2979, 960, 593, 707, 6121, 1067, 454, 8133, 267, 952, 596, 616, 19011, 1645, 2338, 602, 1331, 2942, 2338, 563, 1492, 1611, 630, 514, 2979, 264, 568, 519, 3328, 540, 782, 519, 2338, 538, 519, 1966, 454, 1415, 4759, 540, 513, 1305, 540, 2318, 2898, 2338, 630, 272, 269, 273, 269, 274, 4700, 2942, 2898, 2338, 11196, 272, 16427, 273, 16427, 274, 267, 3738, 543, 4642, 263, 271, 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 ]

[ 0, 16215, 476, 3393, 2042, 609, 1109, 753, 9955, 689, 5291, 2517, 4178, 269, 3667, 9248, 16451, 3820, 13045, 23921, 6435, 286, 16797, 11872, 454, 16215, 476, 3393, 6178, 539, 10606, 454, 7883, 547, 5149, 476, 5379, 1741, 5231, 26076, 12039, 3396, 1109, 4569, 5769, 7732, 692, 16534, 476, 272, 288, 264, 476, 272, 289, 264, 476, 272, 290, 264, 7994, 519, 2953, 3090, 630, 283, 267, 815, 267, 3436, 3738, 547, 2347, 891, 6898, 269, 476, 273, 264, 476, 275, 12223, 910, 274, 476, 274, 264, 910, 273, 21718, 910, 275, 476, 275, 264, 910, 275, 1341, 476, 279, 21718, 476, 279, 910, 476, 275, 16534, 476, 276, 264, 910, 279, 1341, 476, 277, 815, 476, 277, 264, 910, 1691, 910, 11196, 1321, 264, 815, 476, 278, 264, 910, 276, 1341, 11196, 280, 264, 815, 476, 279, 264, 476, 280, 910, 11196, 276, 264, 815, 476, 280, 264, 910, 276, 910, 630, 279, 264, 910, 11196, 274, 264, 815, 476, 1015, 264, 630, 277, 7565, 268, 279, 264, 815, 476, 1556, 264, 11196, 279, 7565, 268, 277, 264, 815, 476, 1321, 264, 476, 1724, 264, 11196, 4510, 8358, 8987, 1556, 264, 815, 476, 1691, 264, 6904, 1297, 568, 1063, 910, 3953, 269, 277, 543, 910, 3451, 269, 6860, 286, 589, 264, 910, 3953, 269, 274, 645, 264, 910, 3953, 269, 10037, 595, 264, 910, 3953, 269, 276, 667, 264, 910, 3953, 269, 5400, 8382, 21718, 476, 1428, 264, 476, 275, 1341, 11196, 277, 264, 910, 630, 275, 264, 815, 16534, 1626, 264, 910, 275, 910, 276, 1341, 476, 1556, 815, 476, 1704, 264, 910, 275, 263, 274, 264, 1341, 476, 279, 815, 476, 1240, 264, 476, 274, 263, 271, 264, 910, 476, 276, 815 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1477, 258, 18130, 6403, 857, 334, 5124, 476, 4029, 281, 2677, 523, 14179, 9366, 19804, 1982, 320, 6446, 829, 326, 2863, 324, 1477, 258, 513, 1253, 5889, 333, 25556, 632, 579, 2742, 642, 16489, 332, 900, 918, 332, 269, 2836, 9908, 522, 840, 9809, 334, 13005, 8574, 332, 267, 1477, 258, 25865, 8681, 334, 681, 259, 271, 267, 2004, 11188, 918, 332, 16948, 19274, 698, 839, 632, 693, 2946, 476, 1220, 298, 332, 552, 681, 259, 271, 267, 3393, 1477, 258, 16948, 19274, 698, 839, 544, 9820, 1279, 553, 269, 5897, 23251, 815, 703, 9272, 3488, 304, 783, 513, 1253, 5889, 333, 25556, 13005, 642, 16489, 332, 286, 1412, 264, 10142, 604, 1253, 10922, 476, 1220, 6769, 825, 27089, 815, 1253, 2608, 476, 271, 269, 2004, 1477, 825, 1820, 3488, 302, 27089, 13005, 8574, 332, 16948, 829, 14585, 17243, 15079, 298, 332, 20527, 681, 259, 2715, 15545, 273, 325, 348, 8339, 8971, 5560, 626, 267, 27089, 17903, 12828, 6769, 825, 27089, 815, 1253, 2608, 476, 271, 269, 3393, 1477, 825, 1820, 3488, 302, 27089, 13005, 8574, 332, 16948, 829, 14585, 17243, 15079, 298, 332, 20527, 681, 259, 2715, 15545, 273, 325, 348, 8339, 8971, 5560, 626, 267, 27089, 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 ]

[ 0, 310, 31581, 267, 4651, 267, 19829, 454, 2467, 568, 1100, 21626, 1317, 713, 568, 513, 6870, 2022, 563, 10501, 6685, 568, 513, 3532, 18463, 585, 1565, 543, 1210, 14374, 2861, 1565, 666, 15407, 1761, 269, 3371, 616, 476, 277, 2994, 585, 707, 4928, 563, 5719, 28838, 5156, 602, 519, 5626, 543, 1514, 5011, 616, 1644, 543, 602, 968, 25531, 3112, 581, 9833, 607, 513, 14207, 1063, 519, 1079, 3034, 10376, 11954, 3625, 814, 606, 1383, 540, 513, 1565, 6662, 7222, 609, 1142, 4999, 540, 519, 5042, 1184, 543, 1702, 7516, 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 ]

[ 0, 476, 275, 269, 273, 28686, 14409, 538, 16594, 32185, 692, 7072, 692, 8702, 1394, 267, 14971, 3173, 256, 769, 713, 3078, 1007, 3296, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 5365, 4393, 538, 4633, 8226, 269, 901, 1858, 540, 1353, 27180, 875, 938, 12058, 6460, 519, 1950, 3270, 540, 3280, 6329, 3812, 1282, 4633, 883, 6209, 10409, 1344, 269, 1635, 1620, 519, 5817, 6127, 3238, 538, 5365, 4393, 267, 649, 666, 2744, 3407, 4030, 883, 519, 2081, 3425, 13498, 543, 4612, 9275, 1893, 269, 1924, 31617, 909, 607, 649, 7832, 593, 2943, 1776, 13858, 3460, 998, 12985, 3631, 540, 17391, 17133, 2439, 14294, 531, 14409, 17943, 692, 6524, 11362, 2212, 14140, 883, 519, 14960, 540, 4633, 8226, 267, 1577, 721, 1101, 3715, 930, 4909, 2035, 1644, 547, 5365, 4393, 269, 2311, 922, 4295, 267, 5365, 4393, 3322, 7421, 543, 13321, 6786, 24568, 938, 2013, 267, 17974, 6786, 6383, 676, 1480, 9739, 269, 1452, 6786, 2874, 540, 15088, 538, 2011, 2604, 936, 942, 267, 799, 938, 10772, 1287, 7001, 543, 10141, 547, 519, 2634, 269, 1677, 1732, 10146, 891, 6786, 267, 649, 8415, 6310, 2645, 971, 607, 22263, 2079, 267, 3850, 721, 547, 2099, 873, 538, 2474, 540, 741, 4908, 3334, 2864, 982, 1175, 6151, 17931, 2418, 630, 8201, 476, 272, 6393, 314, 11900, 1068, 7612, 476, 272, 281, 5384, 6389, 5288, 22039, 6389, 6041, 6540, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 10932, 12054, 14373, 593, 32492, 17738, 540, 14675, 32185, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 8535, 8226, 2580, 834, 274, 269, 623, 3558, 8226, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 16594, 8226, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 32492, 3631, 540, 4633, 8226, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 273, 269, 28686, 4393, 538, 4633, 8226, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269 ]

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

[ 0, 9223, 281, 1548, 729, 519, 2063, 15896, 540, 519, 8003, 540, 13243, 267, 4503, 547, 5771, 538, 476, 15782, 272, 888, 12585, 281, 8028, 3918, 454, 2704, 328, 1162, 281, 11059, 609, 18877, 538, 22798, 4789, 267, 8028, 3918, 267, 11059, 609, 2950, 538, 6917, 24469 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2520, 665, 18344, 454, 5228, 2520, 4878, 269, 613, 665, 617, 619, 1104, 715, 7631, 520, 574, 454, 5228, 2520, 4878, 1104, 20211, 31043, 454, 5814, 4351, 7531, 3698, 1205, 318, 613, 334, 318, 6570, 318, 613, 565, 665, 1807, 10857, 665, 2187, 825, 8173, 825, 630, 1598, 264, 9847, 24042, 692, 825, 9577, 2520, 665, 1712, 740, 816, 543, 7024, 621, 781, 20173, 543, 454, 825, 29978, 1210, 2520, 565, 665, 1807, 9074, 454, 825, 8173, 825, 2520, 565, 665, 1807, 815, 715, 7631, 520, 574, 4590, 825, 4087, 815, 2520, 565, 665, 1807, 269, 613, 665, 1712, 10857, 665, 994, 825, 2132, 630, 331, 6327, 7456, 520, 3363, 267, 4087, 7456, 784, 3363, 9239, 3698, 1205, 318, 613, 334, 318, 6570, 318, 6635, 322, 31043, 10857, 665, 2187, 825, 8173, 825, 630, 1598, 264, 9847, 24042, 692, 825, 9577, 2520, 665, 1712, 740, 816, 543, 7024, 621, 781, 20173, 543, 454, 825, 29978, 1210, 20211, 31043, 16286, 454, 825, 8173, 825, 1327, 1807, 815, 20211, 31043, 263, 5503, 719, 284, 1015, 994, 825, 1747, 815, 1327, 1807, 269, 613, 665, 1712, 10857, 665, 994, 825, 952, 711, 1747, 912, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 2132, 630, 2897, 7456, 520, 3363, 267, 1747, 7456, 784, 3363, 9239, 3698, 1205, 318, 613, 334, 318, 6570, 318, 2998, 4355, 10857, 665, 267, 3284, 328, 318, 4486, 2187, 825, 8173, 825, 630, 1598, 267, 1193, 264, 9847, 24042, 692, 825, 9577, 2520, 665, 1712, 740, 816, 543, 7024, 621, 781, 20173, 543, 454, 825, 29978, 1210, 5616, 16286, 269, 9373, 707, 16286, 1883, 568, 2556, 454, 825, 8173, 825, 575, 815, 2520, 665, 18344, 269, 2998, 4355, 10857, 665, 267, 1883, 284, 777, 328, 318, 4486, 994, 825, 2132, 575, 7456, 520, 331, 978, 692, 3698, 4351, 318, 1723, 3581, 10031, 825, 8173, 825, 630, 14085, 264, 9847, 24042, 692, 825, 9577, 12958, 4351, 20173, 543, 29978, 454, 825, 8173, 825, 20173, 815, 4351, 27110, 8987, 3445, 267, 476, 3445, 11924, 12690, 26509, 6134, 263, 271, 267, 476, 272, 994, 825, 29978, 815, 4351, 27110, 8987, 5197, 267, 476, 5197, 11924, 12690, 26509, 6134, 263, 271, 267, 476, 272, 994, 825, 2132, 630, 26245, 3363, 267, 14075, 3363, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8489, 616, 631, 4115, 18722, 888, 300, 4115, 18722, 729, 513, 3109, 22256, 630, 6245, 278, 268, 1960, 274, 1916, 300, 4115, 18722, 5795, 721, 519, 5639, 269, 4173, 5639, 568, 835, 538, 513, 2929, 269, 1879, 1352, 31025, 621, 729, 606, 5863, 3280, 269, 4173, 10781, 941, 6444, 543, 28165, 609, 1082, 26065, 269, 476, 6245, 278, 910, 631, 4115, 18722, 4535, 5988, 476, 2767, 267, 476, 6245, 278, 269, 476, 272, 476, 4489, 277, 910, 23548, 1231, 4974, 609, 2871, 1047, 28500, 32181, 515, 26152, 269, 476, 273, 476, 4572, 276, 910, 631, 4115, 18722, 15824, 609, 1715, 3840, 5845, 327, 1301, 4577, 2107, 3832, 14259, 269, 476, 274, 476, 4350, 271, 910, 631, 4115, 18722, 3587, 1101, 3109, 4775, 547, 1685, 693, 31257, 8065, 269, 476, 275, 476, 4350, 280, 910, 9324, 1221, 7498, 300, 4115, 18722, 729, 519, 1101, 3979, 1977, 22256, 547, 840, 845, 693, 519, 27062, 28709, 269, 2701, 1185, 513, 1360, 2673, 2078, 609, 1200, 4651, 267, 3627, 18722, 3627, 18722, 729, 513, 8783, 721, 615, 693, 519, 2199, 5783, 269, 631, 4115, 729, 1360, 10583, 540, 1200, 4651, 950, 1352, 729, 513, 2370, 8004, 8384, 1200, 4651, 581, 513, 8783, 721, 615, 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 ]

[ 0, 9223, 281, 769, 7574, 10035, 267, 875, 1082, 5033, 1172, 28316, 3160, 835, 5033, 756, 516, 557, 888, 12585, 281, 16038, 311, 15288, 2894, 454, 2704, 328, 1162, 281, 28465, 267, 16038, 311, 15288, 2894, 267, 476, 1626 ]

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

[ 0, 26574, 13809, 15789, 281, 8177, 593, 519, 25667, 20615, 2438, 454, 10932, 13595, 595, 20975, 15311, 300, 3633, 2975, 12114, 15311, 12892, 4915, 15311, 14276, 1072, 4915, 1382, 2127, 15311, 14276, 1072, 2257, 2073, 13379, 13809, 2073, 25667, 267, 5651, 321, 573, 2073, 10791, 2073, 13379, 22159, 15789, 454, 4415, 606, 2810, 9860, 540, 8377, 972, 616, 513, 3395, 1297, 540, 3292, 543, 2409, 585, 2597, 2530, 269, 1703, 616, 1082, 4485, 547, 1199, 1227, 24892, 2597, 2530, 267, 8151, 689, 2242, 547, 2732, 543, 3635, 547, 12362, 6391, 269, 3525, 4733, 2597, 2530, 1419, 3340, 1447, 12362, 2409, 267, 1247, 21693, 573, 569, 17324, 2550, 4171, 1272, 568, 693, 1981, 267, 949, 3870, 513, 811, 12362, 10551, 5650, 269, 901, 1353, 5654, 547, 3313, 952, 2405, 328, 13379, 2530, 3292, 267, 799, 9192, 14278, 8839, 609, 2623, 14842, 267, 568, 6225, 538, 5466, 8377, 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 ]

[ 0, 12163, 9596, 827, 3252, 270, 3698, 20532, 454, 8196, 519, 20438, 281, 1219, 2999, 4067, 285, 10031, 20701, 3698, 1256, 318, 528, 318, 15957, 28840, 2187, 258, 4855, 952, 2901, 1256, 610, 9642, 281, 4164, 1297, 281, 3403, 1297, 454, 258, 2433, 2132, 281, 834, 16838, 257, 593, 1256, 2338, 454, 258, 834, 15957, 257, 593, 9642, 2338, 454, 258, 1590, 723, 693, 2547, 835, 3948, 2676, 258, 865, 649, 3513, 946, 519, 546, 16244, 2493, 1889, 618, 1780, 7531, 672, 952, 1297, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 9497, 16838, 5602, 672, 3116, 912, 1038, 1820, 9497, 15957, 15419, 3698, 1292, 10031, 258, 1289, 1599, 454, 825, 1820, 263, 1029, 4067, 1029, 994, 825, 1256, 318, 528, 318, 15957, 263, 8660, 994, 825, 1256, 318, 528, 318, 15957, 263, 2420, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 825, 14827, 263, 271, 2020, 258, 607, 513, 3773, 3063, 547, 713, 1982, 267, 646, 4280, 721, 547, 12189, 454, 258, 519, 1982, 547, 4429 ]

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

[ 0, 2971, 1703, 781, 513, 8559, 538, 1250, 19943, 13718, 288, 12718, 1930, 547, 519, 5790, 568, 2407, 540, 1216, 543, 7555, 20005, 593, 513, 3349, 269, 1703, 616, 1614, 9475, 538, 519, 2427, 540, 519, 12718, 267, 4352, 891, 616, 4988, 547, 1376, 609, 269, 2290, 8559, 568, 476, 272, 270, 275, 540, 519, 1259, 1524, 689, 519, 1283, 267, 1247, 519, 824, 1079, 616, 476, 272, 270, 273, 543, 476, 274, 270, 275, 540, 519, 1259, 1524, 780, 2691, 519, 9475, 616, 20114, 267, 1216, 22534, 856, 269, 6904, 8559, 22534, 519, 1216, 9663, 1492, 560, 23276, 593, 519, 3349, 2496, 272, 269, 634, 8559, 14191, 547, 519, 1283, 563, 273, 269, 634, 8559, 28870, 1524, 563, 274, 269, 634, 8559, 14191, 547, 519, 5377, 563, 275, 269, 898, 781, 513, 1614, 17574, 17063, 780, 1607, 568, 519, 1641, 540, 513, 6780, 1966, 267, 865, 649, 4465, 1405, 979, 998, 782, 519, 3877, 269, 1284, 786, 1205, 3323, 267, 2705, 269, 3399, 609, 513, 8559, 513, 3845, 554, 689, 519, 1283, 540, 519, 12718, 269, 2060, 1018, 3432, 1281, 519, 1216, 10836, 689, 519, 8559, 2496, 4131, 781, 4019, 12672, 537, 25651, 781, 3830, 1384, 16708, 4445, 272, 1341, 476, 16006, 16708, 341, 1321, 1341, 623, 272, 815, 6543, 479, 4445, 273, 1341, 476, 16006, 16708, 341, 2420, 1341, 303, 273, 692, 11592, 476, 273, 666, 581, 1175, 3544, 519, 8559, 267, 865, 519, 2604, 568, 11626, 2604, 269, 1284, 2811, 3168, 585, 642, 273, 269, 8672, 476, 272, 666, 2965, 581, 1022, 1448, 3330, 519, 12718, 267, 4352, 930, 2798, 616, 811, 10375, 547, 960, 609, 982, 1866, 269, 6153, 5079, 1131, 581, 513, 1448, 693, 519, 1482, 1377, 607, 519, 8559, 267, 1141, 519, 2604, 568, 11626, 2604, 1341, 678, 724, 267, 610, 513, 1448, 693, 519, 1283, 540, 519, 12718, 1141, 519, 2604, 568, 11626, 2604, 269, 2913, 781, 2119, 513, 1448, 693, 519, 1283, 540, 519, 12718, 780, 9288, 20011, 586, 781, 689, 519, 1377, 540, 519, 8559, 3947, 1384, 16708, 724, 1341, 476, 16006, 16708, 341, 1321, 1341, 4793, 332, 815, 476, 16006, 16708, 341, 2420, 1341, 4793, 332, 692, 290, 766, 29818, 519, 12503, 267, 543, 1287, 519, 2188, 540, 5860, 267, 649, 2811, 3592, 2944, 1384, 724, 1341, 476, 16006, 341, 1321, 815, 476, 16006, 341, 2420, 692, 1607, 568, 513, 1434, 942, 547, 3142, 538, 519, 15364, 3830, 1384, 288, 272, 341, 272, 815, 589, 273, 341, 273, 692, 763, 1858, 540, 519, 8559, 568, 1454, 1447, 982, 519, 1858, 540, 519, 12718, 267, 865, 649, 786, 3274, 8263, 602, 642, 272, 568, 30050, 3379, 547, 642, 273, 269, 901, 3947, 1384, 724, 815, 476, 16006, 341, 2420, 692, 810, 642, 273, 815, 1496, 273, 724, 316, 16006, 692, 1607, 1058, 1413, 5432, 547, 596, 780, 763, 1964, 540, 519, 2079, 3322, 9301, 602, 519, 1216, 19674, 689, 519, 8559, 609, 606, 3355, 8880, 6991, 267, 543, 7311, 1788, 850, 5163, 4834, 547, 3313, 519, 8880, 3845, 6603, 676, 519, 1216, 6908, 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 ]

[ 0, 3725, 281, 22217, 1518, 692, 1892, 1677, 281, 2979, 16766, 693, 1159, 322, 18192, 6339, 14492, 454, 1892, 13595, 281, 1496, 16936, 30444, 6872, 316, 1234, 281, 22217, 1518, 454, 1892, 3245, 281, 834, 21837, 623, 269, 9652, 257, 2999, 329, 28427, 693, 16354, 339, 343, 12975, 11417, 1892, 11261, 281, 9045, 267, 476, 273, 4924, 476, 1220, 273, 476, 4905, 281, 866, 281, 3953, 910, 30588, 271, 630, 12239, 994, 1892, 9257, 281, 1715, 6792, 15306, 454, 1892, 22108, 281, 2999, 320, 274, 325, 271, 336, 273, 15478, 321, 274, 335, 15478, 272, 287, 8243, 322, 18192, 6339, 14492, 11417, 1892, 590, 2658, 281, 8227, 2914, 686, 2173, 987, 16766, 693, 18896, 1090, 2593, 692, 3499, 1103, 2376, 2999, 320, 274, 325, 271, 336, 273, 15478, 321, 274, 335, 15478, 272, 693, 1159, 322, 18192, 6339, 14492, 285, 267, 853, 747, 1530, 30807, 1014, 454, 283, 572, 321, 14067, 747, 693, 575, 332, 343, 26716, 285, 5206, 1384, 285, 28982, 454, 11417, 285, 1215, 666, 594, 14458, 519, 1739, 2165, 888, 11417, 285, 630, 320, 22677, 272, 270, 274, 264, 910, 536, 22677, 272, 270, 274, 4297, 2608, 16733, 320, 22677, 273, 270, 274, 264, 1341, 630, 629, 8203, 263, 272, 270, 274, 264, 1341, 536, 22677, 273, 270, 274, 4297, 14370, 320, 1532, 4297, 22677, 272, 270, 274, 994, 11417, 285, 1403, 594, 946, 519, 12981, 834, 8245, 680, 1518, 2580, 834, 17359, 8245, 680, 1518, 2580, 834, 22091, 663, 257, 610, 834, 20175, 22091, 663, 4840, 285, 14387, 320, 3085, 1405, 1265, 519, 3070, 563, 285, 634, 3070, 568, 630, 320, 22677, 272, 270, 274, 9984, 321, 22677, 272, 270, 274, 4297, 22677, 273, 270, 274, 994, 285, 1403, 621, 781, 2009, 547, 1265, 519, 3070, 538, 14387, 320, 1223, 14387, 320, 1397, 454, 285, 803, 519, 1259, 713, 3070, 888, 285, 692, 11039, 267, 596, 1223, 1451, 930, 7223, 780, 763, 7274, 630, 320, 22677, 272, 270, 274, 9984, 321, 22677, 272, 270, 274, 4297, 1281, 711, 3160, 630, 320, 1532, 8203, 263, 272, 270, 274, 1070, 865, 596, 666, 1405, 454, 322, 30327, 873, 269, 1656, 4769, 1405, 596, 1611, 16733, 320, 22677, 273, 270, 274, 264, 910, 476, 273, 5416, 265, 321, 8203, 263, 272, 270, 274, 264, 1341, 536, 22677, 273, 270, 274, 4297, 888, 10214, 952, 596, 1705, 267, 596, 666, 1405, 1689, 602, 547, 16733, 320, 317, 273, 910, 476, 273, 5416, 265, 321, 264, 1341, 536, 317, 273, 8203, 263, 272, 270, 274, 13211, 810, 596, 666, 1405, 3815, 519, 4082, 3330, 519, 2034, 24324, 269, 2659, 454, 2889, 12723, 5187, 2305, 568, 2347, 20203, 269, 3143, 4898, 22217, 1518, 314, 2639, 323, 573, 333, 1405, 2097, 909, 609, 621, 780, 734, 454, 5937, 14865, 454, 263, 14294, 1155, 5170, 1934, 994, 301, 11065, 12727, 17179, 519, 1412, 343, 262, 547, 4757, 803, 692, 7884, 1892, 2776, 341, 676, 11261, 281, 1234, 281, 1215, 547, 2721, 971, 476, 274, 291, 2627, 888, 1892, 8921, 676, 11261, 281, 1234, 281, 11822, 7533, 1966, 454, 1892, 19881, 676, 8142, 281, 22217, 1518, 454, 1892, 8921, 676, 8142, 281, 1234, 281, 22217, 1518 ]

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

[ 0, 271, 692, 258, 1215, 1082, 13483, 586, 323, 616, 538, 13483, 10264, 2496, 24993, 281, 476, 275, 270, 2764, 270, 1708, 273, 692, 310, 5942, 14871, 692, 1556, 344, 3516, 692, 272, 13483, 586, 323, 616, 538, 476, 280, 13483, 10264, 692, 310, 5942, 14871, 692, 1556, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 1215, 1082, 13483, 586, 323, 616, 538, 13483, 10264, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 2162, 1215, 1082, 13483, 586, 323, 538, 476, 30589, 13483, 10264, 2496, 280, 13483, 10264, 815, 476, 272, 13483, 586, 323, 30589, 13483, 10264, 815, 476, 6812, 272, 270, 274, 13483, 586, 323, 692, 2162, 476, 272, 4009, 13452, 875, 1082, 13483, 9087, 1824, 2496, 274, 10264, 270, 11770, 1535, 476, 274, 10264, 270, 11770, 815, 476, 280, 13483, 10264, 270, 13483, 586, 323, 780, 2162, 476, 1911, 271, 13483, 10264, 1797, 875, 1082, 13483, 586, 323, 2496, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 265, 272, 586, 323, 815, 476, 274, 10264, 2608, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1924, 476, 1911, 271, 13483, 10264, 815, 476, 1911, 271, 270, 280, 815, 476, 9340, 269, 476, 1556, 1862, 13483, 586, 1091, 780, 2162, 1215, 1082, 13483, 10264, 616, 538, 476, 8618, 269, 3451, 13483, 586, 323, 2496, 272, 13483, 586, 323, 815, 476, 280, 13483, 10264, 8618, 269, 3451, 13483, 586, 323, 815, 630, 8618, 269, 3451, 1535, 476, 280, 264, 815, 476, 4649, 272, 269, 9032, 13483, 10264, 692, 2162, 1215, 1082, 4009, 18126, 538, 513, 4055, 476, 1556, 1111, 1535, 476, 280, 10264, 2496, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 2608, 476, 272, 586, 323, 815, 476, 274, 10264, 2608, 476, 274, 10264, 815, 476, 280, 13483, 10264, 269, 476, 1556, 10264, 2608, 476, 280, 10264, 815, 476, 1556, 265, 280, 13483, 10264, 815, 476, 4200, 13483, 10264, 815, 476, 4200, 270, 280, 13483, 586, 323, 815, 476, 1556, 13483, 586, 323, 692, 2162, 1215, 1082, 4009, 13452, 3160, 4009, 3952, 2496, 272, 586, 323, 815, 476, 274, 10264, 476, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 1535, 476, 272, 586, 323, 815, 476, 274, 10264, 1535, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1299, 337, 6635, 337, 282, 476, 272, 13483, 10264, 815, 476, 272, 270, 280, 13483, 586, 323, 1299, 553, 2096, 335, 282, 476, 271, 269, 1556, 13483, 586, 323, 692, 2162, 1215, 1082, 13483, 10264, 538, 476, 3583, 13483, 586, 1091, 2496, 272, 586, 323, 815, 476, 274, 10264, 476, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 1535, 476, 272, 586, 323, 815, 476, 274, 10264, 1535, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1299, 337, 6635, 337, 282, 476, 3583, 13483, 586, 1091, 815, 476, 3583, 1535, 476, 280, 13483, 10264, 815, 476, 30697, 13483, 10264, 692, 2162, 1215, 1082, 18126, 616, 538, 476, 1911, 271, 338, 336, 3952, 2496, 272, 13483, 269, 586, 323, 269, 815, 476, 280, 13483, 269, 10264, 269, 476, 1911, 271, 1315, 476, 280, 13483, 269, 586, 323, 269, 815, 476, 1911, 271, 13483, 269, 10264, 269, 815, 827, 476, 9340, 13483, 269, 586, 323, 780, 2162, 1215, 1082, 4009, 3952, 568, 476, 23841, 4009, 18126, 2496, 272, 586, 323, 815, 476, 274, 10264, 476, 272, 13483, 586, 323, 815, 476, 272, 586, 323, 1535, 476, 272, 586, 323, 815, 476, 274, 10264, 1535, 476, 274, 10264, 815, 476, 280, 13483, 10264, 1299, 337, 6635, 337, 282, 476, 23841, 13483, 586, 323, 815, 476, 23841, 1535, 476, 280, 13483, 10264, 815, 476, 29876, 276, 13483, 10264, 692, 2162, 1215, 1082, 10264, 616, 538, 476, 15171, 538, 2496, 14140, 2073, 2280, 721, 1265, 519, 6935, 1063, 476, 272, 586, 323, 13483, 543, 476, 272, 10264, 13483, 1547, 933, 1205, 519, 6935, 607, 2433, 272, 10264, 13483, 284, 476, 271, 586, 323, 13483, 476, 272, 269, 1822, 10264, 13483, 935, 31844, 1631, 2073, 15171, 10264, 13483, 815, 1691, 586, 323, 13483, 476, 277, 269, 1822, 876, 10264, 13483, 692, 2162, 1215, 1082, 13483, 18126, 616, 538, 476, 13893, 13483, 3952, 2496, 1626, 13483, 586, 323, 476, 272, 13483, 586, 323, 815, 476, 280, 13483, 10264, 692, 2162, 1215, 1082, 13483, 10264, 540, 5958, 538, 513, 13452, 2496, 280, 13483, 10264, 815, 476, 272, 13483, 586, 323 ]

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

[ 0, 769, 513, 14297, 2749, 5030, 1079, 1655, 2828, 267, 15207, 543, 8861, 269, 2290, 13566, 1554, 267, 1247, 4730, 2282, 741, 19887, 2679, 267, 789, 16686, 2390, 513, 21743, 1843, 14084, 593, 519, 2666, 269, 898, 729, 513, 31933, 267, 14328, 3926, 609, 513, 6505, 5496, 910, 513, 590, 16810, 2207, 15382, 2752, 9143, 295, 24535, 256, 19196, 1243, 569, 267, 789, 13603, 621, 909, 543, 3323, 3695, 922, 9589, 2934, 780, 20755, 3240, 608, 13094, 267, 834, 32452, 256, 901, 2706, 16335, 666, 798, 5863, 1919, 256, 1284, 666, 1289, 938, 3885, 267, 1491, 5961, 267, 1265, 8846, 267, 543, 1256, 1404, 3756, 10590, 8861, 3773, 267, 834, 4517, 1413, 693, 782, 891, 3579, 6673, 303, 997, 725, 610, 1412, 4338, 4916, 9538, 1703, 616, 3283, 585, 2575, 267, 2835, 267, 543, 1945, 1572, 5841, 4987, 3010, 2026, 789, 8268, 811, 267, 789, 3357, 2066, 513, 30292, 813, 13324, 676, 8121, 2316, 293, 2975, 24361, 21850, 21822, 5456, 9970, 630, 9590, 1070, 799, 4847, 873, 547, 2307, 2055, 543, 1205, 8216, 4267, 269, 30985, 267, 15207, 4280, 267, 834, 3963, 568, 519, 6607, 4544, 8119, 1677, 741, 9983, 267, 519, 3642, 15527, 267, 834, 6546, 781, 1317, 540, 513, 2067, 7613, 1572, 14105, 548, 662, 22502, 269, 1879, 7943, 10301, 3047, 781, 5790, 267, 621, 2458, 1938, 609, 6675, 543, 6263, 5536, 267, 4929, 519, 1769, 547, 14649, 538, 1114, 8846, 269, 9791, 1769, 1085, 520, 1562, 811, 982, 824, 4778, 1813, 547, 922, 10156, 15423, 267, 1818, 519, 6607, 2408, 4544, 3010, 5445, 4797, 6998, 519, 3642, 1187, 543, 4277, 2055, 267, 9750, 741, 1702, 827, 519, 1158, 1472, 873, 269, 1717, 267, 10393, 267, 519, 6049, 678, 836, 256, 4762, 4310, 267, 789, 7691, 2576, 3116, 1522, 581, 10478, 585, 741, 11537, 2706, 16335, 269, 7464, 1944, 519, 2956, 540, 13059, 4503, 3688, 267, 789, 4956, 547, 4734, 513, 4063, 2059, 609, 519, 6049, 281, 834, 2414, 7247, 621, 949, 6161, 267, 5225, 1265, 707, 590, 16810, 2207, 15382, 2752, 9143, 295, 24535, 1394, 693, 519, 6288, 267, 9901, 543, 4712, 585, 707, 1985, 7045, 15323, 15987, 25922, 547, 851, 2081, 609, 741, 1007, 6602, 267, 789, 4121, 3407, 4245, 602, 1554, 1107, 827, 11505, 267, 7279, 267, 11587, 267, 543, 519, 6909, 1379, 540, 2413, 2029, 269, 4634, 1510, 519, 2706, 16335, 267, 15207, 543, 8861, 7283, 9599, 547, 2263, 2104, 3621, 2261, 12069, 1927, 267, 23362, 32261, 741, 1985, 24084, 2287, 7237, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 14881, 4823, 1518, 1614, 2487, 7760, 538, 2029, 602, 723, 3648, 12936, 938, 3232, 2729, 543, 4766, 875, 789, 4312, 2944, 865, 563, 272, 269, 12829, 10746, 281, 634, 4417, 540, 16389, 814, 19117, 519, 1259, 649, 5968, 267, 1569, 1344, 267, 543, 4383, 938, 3232, 2729, 269, 2060, 3532, 21932, 267, 1164, 18286, 4950, 14479, 267, 543, 513, 2647, 2039, 540, 3156, 267, 16389, 723, 1831, 606, 1898, 1907, 585, 1082, 1004, 1472, 519, 1158, 269, 1358, 1450, 721, 547, 3251, 4448, 609, 2828, 543, 1920, 267, 6330, 14542, 4025, 267, 1118, 16306, 267, 3950, 938, 1072, 543, 8516, 267, 543, 1256, 1852, 5100, 1753, 3457, 269, 3958, 267, 16389, 723, 849, 9927, 6080, 971, 607, 552, 19645, 267, 9913, 267, 543, 6283, 630, 324, 3052, 1421, 11878, 6879, 2130, 8924, 899, 772, 828, 6393, 273, 269, 14464, 11106, 630, 9590, 264, 543, 10724, 4804, 281, 3642, 543, 3684, 1565, 4066, 723, 1500, 1713, 7760, 538, 2487, 1296, 267, 18363, 1585, 3344, 540, 938, 3232, 2729, 269, 1452, 4066, 5512, 5904, 547, 1451, 689, 1239, 606, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]

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

[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 19410, 776, 267, 20514, 476, 6795, 278, 268, 2568, 279, 281, 519, 4555, 649, 1058, 5066, 2275, 718, 267, 3092, 269, 998, 7412, 476, 27151, 281, 700, 7035, 320, 563, 21296, 14893, 5999, 454, 272, 269, 2986, 519, 1739, 267, 1018, 798, 3627, 1744, 1228, 543, 519, 18272, 514, 723, 538, 1455, 888, 5416, 264, 1358, 941, 1312, 4535, 538, 6576, 563, 6357, 264, 1358, 941, 1312, 2098, 655, 4565, 534, 15438, 563, 6262, 264, 1358, 1312, 941, 29152, 539, 563, 5560, 264, 1358, 1312, 1185, 31225, 338, 945, 941, 2322, 538, 606, 28357, 563, 273, 269, 1548, 1705, 8176, 20943, 321, 1774, 798, 609, 519, 3032, 888, 5416, 264, 1261, 5795, 621, 547, 519, 30823, 563, 6357, 264, 1261, 5206, 513, 6648, 827, 621, 563, 6262, 264, 1261, 5795, 621, 547, 3627, 1744, 1228, 607, 513, 14512, 10516, 563, 5560, 264, 1261, 18417, 8914, 539, 621, 563, 274, 269, 20943, 321, 1774, 22281, 338, 513, 3802, 609, 3627, 1744, 1228, 269, 2201, 713, 3802, 20943, 321, 1774, 5667, 15471, 2685, 13290, 547, 533, 787, 689, 1744, 1228, 1344, 827, 799, 540, 519, 1739, 3584, 888, 5416, 264, 1744, 1228, 781, 6648, 563, 6357, 264, 1744, 1228, 781, 8250, 563, 5560, 264, 12518, 543, 2831, 563, 275, 269, 2201, 1018, 1554, 1705, 3627, 1744, 1228, 2253, 21882, 1010, 6648, 834, 303, 1446, 9605, 24350, 5416, 264, 1284, 616, 711, 5143, 12799, 267, 1152, 602, 621, 568, 1282, 519, 4832, 563, 6357, 264, 5147, 476, 276, 628, 563, 6262, 264, 5147, 476, 275, 628, 563, 5560, 264, 5147, 476, 272, 560, 563, 276, 269, 1548, 1281, 20943, 321, 1774, 1616, 721, 547, 3494, 729, 519, 18463, 585, 3627, 1744, 1228, 781, 3903, 547, 1305, 834, 303, 1446, 9605, 257, 1282, 519, 5162, 3275, 888, 5416, 264, 634, 2098, 655, 4565, 534, 3751, 781, 1028, 553, 1588, 538, 5130, 563, 6357, 264, 634, 1390, 13357, 1744, 1228, 814, 4810, 1282, 5162, 563, 6262, 264, 16819, 10760, 5045, 585, 519, 5162, 563, 5560, 264, 1744, 1228, 5870, 20943, 321, 1774, 1282, 519, 3105, 5162, 563, 14112, 8382, 5999, 454, 272, 269, 3627, 1744, 1228, 3081, 267, 834, 2467, 781, 4986, 4636, 609, 17766, 513, 771, 7356, 2250, 547, 12990, 24886, 13322, 318, 24350, 273, 269, 5808, 1281, 3627, 1744, 1228, 2232, 538, 1899, 476, 26727, 799, 7475, 834, 1862, 3240, 15210, 4840, 274, 269, 3627, 1744, 1228, 973, 2572, 1010, 6965, 547, 835, 1268, 1991, 547, 922, 8313, 269, 5808, 568, 602, 1268, 888, 275, 269, 27240, 639, 11564, 744, 1873, 514, 645, 4958, 342, 527, 538, 1931, 547, 1265, 1344, 593, 3751, 8176, 262, 4087, 269, 1548, 568, 744, 1873, 514, 645, 4958, 342, 527, 781, 3924, 888, 276, 269, 5808, 568, 519, 3105, 9468, 656, 540, 8176, 20943, 321, 1774, 781, 2777, 888, 1607, 3296, 3568, 476, 30640, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 646, 2450, 540, 513, 11176, 630, 338, 665, 1356, 264, 2361, 568, 827, 1911, 15432, 1279, 543, 476, 2568, 15432, 2647, 267, 8117, 538, 4013, 3756, 972, 616, 6042, 827, 519, 5934, 543, 5021, 10155, 269, 769, 519, 1158, 11176, 519, 1034, 4013, 7516, 616, 1346, 602, 1185, 1044, 632, 857, 539, 676, 674, 9281, 288, 630, 763, 674, 323, 1674, 4139, 324, 632, 25624, 5948, 1916, 10144, 849, 2307, 454, 1692, 1279, 568, 476, 272, 25451, 538, 11176, 4610, 888, 763, 16038, 3490, 1770, 585, 3259, 568, 519, 25451, 269, 476, 272, 25451, 568, 3160, 547, 476, 272, 7397, 267, 610, 476, 271, 269, 18089, 280, 3607, 15171, 7176, 274, 4391, 278, 11176, 2361, 1496, 308, 2529, 269, 4940, 8074, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 269, 2422, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 15432, 543, 11176, 4610, 269, 7392, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 1692, 1082, 4009, 7397, 568, 513, 13558, 2361, 888, 1692, 547, 6460, 17502, 1356, 29425, 547, 12384, 631, 4394, 630, 338, 665, 1356, 2361, 547, 544, 273, 267, 13483, 544, 21663, 476, 272, 13558, 2361, 815, 476, 278, 1691, 271, 544, 273, 267, 13483, 544, 269, 476, 272, 1535, 476, 278, 1691, 271, 544, 273, 267, 13483, 544, 815, 476, 278, 1691, 271, 12384, 631, 4394, 269, 11408, 2638, 519, 2164, 282, 24263, 6959, 949, 2049, 563, 6701, 782, 11176, 4610, 519, 1482, 2450, 888, 5649, 593, 547, 1265, 856, 269, 4400, 1153, 267, 2852, 543, 715, 14566, 11176, 4610, 616, 519, 1482, 2450, 269, 589, 3044, 11176, 2361, 568, 476, 6344, 18126, 1279, 269, 634, 4730, 2361, 568, 476, 1911, 18126, 630, 4968, 3952, 264, 1279, 267, 543, 1142, 1439, 7997, 568, 476, 1015, 18126, 630, 1789, 3952, 264, 2620, 269, 634, 2361, 814, 513, 7833, 8700, 540, 476, 7871, 476, 272, 270, 274, 18126, 630, 8182, 3952, 1916, 1692, 2620, 568, 519, 2361, 538, 513, 11176, 3014, 888, 17780, 593, 18126, 267, 519, 2361, 540, 1404, 538, 513, 3014, 540, 11176, 4016, 547, 519, 476, 1911, 18126, 1063, 519, 1079, 15852, 1439, 10851, 593, 2901, 2427, 540, 519, 2361, 693, 476, 1015, 18126, 1923, 630, 1789, 421, 486, 354, 286, 347, 476, 280, 269, 1428, 544, 264, 2620, 269, 6519, 24795, 1374, 622, 1142, 1367, 13452, 593, 519, 2361, 543, 616, 9674, 676, 2407, 2361, 3515, 1169, 4557, 18126, 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 ]

[ 0, 1103, 519, 2136, 8003, 267, 15518, 730, 9086, 568, 9086, 610, 1876, 3267, 1323, 11352, 568, 454, 534, 3635, 540, 10324, 7060, 267, 585, 1383, 547, 1711, 610, 23271, 513, 1857, 1560, 563, 8333, 775, 618, 2107, 10249, 616, 1031, 547, 4429, 763, 15518, 730, 7060, 11292, 547, 519, 5313, 2229, 676, 519, 2136, 2276, 454, 17746, 3191, 616, 679, 10179, 730, 7060, 267, 22466, 7060, 543, 7915, 7060, 563, 763, 9139, 3947, 1614, 2010, 540, 1379, 547, 519, 3084, 2229, 281, 476, 272, 269, 3267, 769, 782, 454, 267, 519, 9139, 30896, 476, 2767, 7060, 4481, 547, 519, 5313, 2229, 269, 476, 273, 563, 763, 3265, 619, 3177, 585, 2947, 1114, 2010, 540, 7060, 538, 519, 772, 2529, 269, 9139, 269, 4429, 5719, 5586, 730, 7060, 616, 1346, 4481, 8655, 547, 519, 3084, 2229, 563, 4178, 19544, 2089, 665, 25283, 3820, 10774, 727, 1740, 25298, 12458, 8434, 8566, 17922, 12458, 8434, 8549, 1143, 318, 20225, 9653, 540, 2817, 543, 3557, 22749, 11258, 454, 2467, 616, 1614, 2010, 540, 15518, 730, 7060, 281, 679, 10179, 730, 7060, 267, 22466, 7060, 2676, 1862, 769, 6254, 7060, 267, 4352, 711, 2769, 569, 15518, 730, 676, 519, 9139, 267, 616, 4429, 5719, 5586, 730, 7060, 616, 7060, 602, 616, 2016, 547, 519, 3084, 2229, 538, 3267, 769, 454, 1492, 3167, 10626, 2872, 267, 972, 616, 1614, 1292, 2010, 540, 1379, 2371, 267, 4429, 19878, 476, 1428, 267, 476, 1001, 277, 3267, 634, 1546, 5586, 730, 25024, 267, 849, 1572, 519, 2037, 10179, 730, 25024, 267, 616, 519, 7060, 540, 454, 17812, 816, 3964, 538, 3296, 5216, 540, 9137, 594, 540, 519, 2475, 4429, 21801, 476, 273, 267, 476, 1001, 276, 3267, 1215, 798, 649, 917, 1018, 519, 2229, 666, 910, 543, 666, 1405, 910, 798, 286, 634, 15518, 730, 454, 335, 10183, 540, 519, 5313, 2229, 616, 1346, 4481, 4330, 4429, 7476, 1344, 267, 5013, 267, 543, 5961, 827, 1546, 5586, 566, 540, 25024, 693, 15610, 563, 1260, 269, 5269, 1382, 3267, 8422, 2010, 540, 15518, 566, 666, 581, 4857, 269, 634, 1101, 4429, 13971, 476, 277, 267, 476, 1001, 273, 3267, 5192, 606, 2626, 585, 1412, 1432, 616, 930, 1806, 540, 7060, 15518, 730, 547, 519, 3267, 1924, 267, 519, 454, 11398, 532, 18971, 14719, 730, 602, 824, 5686, 540, 7060, 3267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18329, 19933, 8535, 630, 3633, 300, 264, 29382, 338, 262, 22547, 547, 674, 877, 692, 296, 269, 4985, 692, 763, 4720, 540, 2575, 814, 1044, 6825, 676, 3875, 10593, 538, 9135, 267, 2511, 267, 543, 2029, 269, 7324, 891, 14759, 568, 519, 4473, 540, 18329, 19933, 8535, 630, 3633, 300, 264, 543, 922, 3056, 5515, 910, 519, 29382, 338, 945, 723, 26970, 9458, 5001, 269, 901, 3184, 12538, 883, 519, 4241, 3460, 540, 11581, 300, 29382, 338, 262, 11944, 607, 9565, 5716, 538, 519, 4207, 2575, 6429, 267, 5373, 2390, 2013, 2090, 971, 607, 1401, 17800, 267, 4787, 22567, 2716, 267, 16458, 332, 879, 276, 267, 543, 667, 10762, 623, 6064, 269, 1284, 786, 2263, 875, 6639, 7760, 267, 2686, 2242, 267, 543, 7499, 5647, 18595, 710, 547, 4412, 601, 11581, 300, 29382, 338, 547, 13778, 2157, 540, 21239, 543, 3310, 780, 2862, 269, 25895, 21992, 906, 23556, 532, 11581, 300, 13870, 692, 288, 269, 7913, 23866, 4518, 560, 725, 630, 6395, 310, 338, 2020, 4263, 519, 2295, 540, 11581, 300, 2504, 6013, 7913, 23866, 4518, 560, 725, 630, 6395, 310, 338, 1040, 1452, 3301, 3156, 5512, 12372, 547, 17492, 267, 2594, 267, 12575, 267, 543, 3132, 8301, 6119, 25274, 269, 1635, 3246, 10333, 267, 26622, 267, 543, 17545, 267, 21096, 310, 338, 7668, 14971, 12696, 547, 11349, 741, 4739, 1510, 8506, 8101, 2883, 5092, 610, 6101, 2866, 269, 9182, 267, 713, 24339, 26494, 540, 2575, 5137, 19658, 519, 18735, 540, 1007, 4992, 267, 2553, 267, 543, 6163, 602, 1131, 1831, 10689, 12201, 540, 11581, 300, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4322, 5159, 1765, 307, 344, 2401, 267, 634, 29763, 267, 1401, 17800, 267, 16265, 16361, 267, 5450, 549, 4425, 7631, 267, 20121, 5797, 700, 821, 569, 267, 918, 525, 6062, 1765, 732, 12021, 5515, 538, 519, 2575, 2872, 1634, 585, 741, 11108, 1983, 607, 1312, 12696, 543, 29382, 338, 269, 3962, 540, 873, 6770, 513, 2189, 2511, 543, 3280, 547, 519, 3349, 267, 23695, 547, 1585, 11964, 543, 7574, 7375, 267, 1818, 873, 513, 10508, 585, 2575, 12439, 2066, 519, 8608, 563, 307, 344, 2401, 267, 634, 29763, 912, 288, 15491, 7376, 1634, 585, 1010, 5876, 267, 14977, 2401, 267, 634, 29763, 267, 25186, 519, 6302, 540, 2757, 22850, 543, 12048, 31022, 2575, 269, 3502, 1152, 6444, 585, 1010, 8903, 543, 2219, 4538, 18405, 267, 855, 646, 779, 849, 28601, 585, 1010, 23258, 538, 2575, 2504, 267, 13167, 20054, 602, 11100, 1585, 7506, 547, 1711, 513, 3982, 543, 5499, 3280, 563, 288, 5230, 7076, 538, 519, 7706, 540, 5907, 7544, 2575, 630, 3633, 300, 1070, 1401, 17800, 568, 24190, 609, 19796, 21163, 543, 18369, 2575, 269, 11412, 21077, 585, 1010, 2247, 1532, 2056, 2661, 12644, 543, 3618, 1606, 1002, 18146, 12772, 267, 1010, 2504, 1983, 1711, 606, 18546, 4328, 5790, 267, 15980, 1864, 513, 546, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16978, 3055, 19933, 8535, 630, 3633, 300, 264, 29382, 338, 262, 22547, 547, 674, 877, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 8535, 2668, 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, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 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, 267, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27016, 30231, 4303, 4371, 1142, 1032, 593, 5988, 476, 277, 568, 519, 3084, 1554, 540, 1715, 10215, 607, 513, 14097, 15747, 538, 519, 2197, 781, 1686, 729, 9896, 693, 602, 1747, 538, 476, 7277, 271, 269, 634, 2012, 1412, 310, 7159, 30231, 262, 1797, 1412, 933, 9429, 7297, 262, 538, 799, 1893, 888, 12585, 281, 631, 5953, 9461, 454, 2704, 328, 1162, 281, 631, 7564, 9461, 267, 631, 5889, 9461, 267, 8575, 9461, 267, 631, 5953, 9461, 267, 631, 5953, 9461, 630, 4134, 3711, 580, 6672, 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 ]

[ 0, 300, 870, 7763, 3120, 340, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 300, 339, 7763, 3120, 340, 454, 300, 870, 7763, 3120, 340, 267, 8235, 2494, 777, 14873, 454, 347, 292, 4582, 566, 1475, 272, 267, 5392, 278, 544, 630, 275, 267, 26605, 10264, 10245, 19064, 668, 29561, 1475, 21497, 544, 630, 3583, 276, 10264, 10245, 347, 19613, 1475, 21026, 6816, 267, 1715, 10215, 2008, 347, 5575, 607, 1417, 1475, 297, 2836, 1457, 2008, 347, 292, 553, 5006, 8905, 1475, 289, 5390, 2193, 1975, 584, 20417, 2008, 300, 870, 7763, 3120, 340, 568, 513, 7823, 693, 4463, 476, 272, 267, 5392, 278, 544, 267, 8375, 5045, 7178, 540, 519, 16593, 14022, 540, 8235, 2494, 777, 14873, 543, 5693, 7298, 689, 2494, 777, 14873, 10034, 1222, 269, 8074, 281, 5440, 4919, 4786, 595, 4510, 267, 28865, 15142, 267, 16998, 476, 21172, 271, 4817, 271, 292, 476, 276, 5392, 16020, 271, 301, 269, 3502, 3957, 593, 4013, 11837, 840, 476, 1015, 2904, 476, 1220, 272, 563, 763, 2012, 7763, 3120, 340, 729, 8385, 519, 8575, 9461, 2012, 585, 519, 4832, 8498, 540, 1018, 568, 1631, 1634, 607, 2494, 777, 14873, 269, 898, 568, 849, 519, 2012, 540, 513, 15805, 6077, 593, 8235, 2494, 777, 14873, 607, 1134, 607, 513, 554, 583, 593, 519, 3223, 16980, 25397, 543, 729, 1767, 547, 581, 606, 4587, 2012, 585, 8235, 2494, 777, 14873, 3294, 563, 300, 870, 7763, 3120, 340, 12700, 585, 8866, 269, 918, 1497, 15610, 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 ]

[ 0, 290, 1328, 692, 258, 9046, 476, 14596, 269, 1548, 568, 519, 3845, 689, 1448, 623, 3287, 11971, 264, 547, 519, 1899, 16547, 1341, 1635, 1341, 595, 815, 476, 271, 2496, 11405, 476, 3192, 4649, 272, 692, 8138, 4784, 593, 476, 2764, 3967, 476, 1001, 274, 676, 589, 675, 331, 1329, 6581, 742, 584, 755, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 2162, 4530, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 10426, 454, 260, 260, 1449, 476, 272, 1535, 284, 273, 282, 586, 284, 273, 282, 589, 284, 273, 282, 645, 284, 273, 282, 595, 15871, 275, 282, 586, 6831, 8091, 815, 476, 272, 269, 29300, 273, 282, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 27045, 272, 324, 268, 275, 2020, 323, 815, 476, 275, 546, 815, 476, 272, 269, 29300, 273, 692, 273, 5231, 10426, 454, 260, 260, 1449, 476, 273, 1535, 284, 274, 282, 586, 284, 275, 282, 589, 284, 274, 282, 645, 284, 275, 282, 595, 284, 276, 282, 586, 6831, 8091, 815, 476, 277, 282, 7682, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 2525, 271, 2020, 323, 815, 476, 277, 692, 274, 5231, 10426, 454, 260, 260, 1449, 476, 274, 1535, 284, 275, 282, 586, 284, 276, 282, 589, 284, 274, 282, 645, 284, 275, 282, 595, 284, 276, 282, 586, 6831, 8091, 815, 476, 278, 269, 275, 282, 4159, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 4297, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 283, 272, 324, 268, 272, 2020, 323, 815, 476, 278, 269, 6110, 271, 20735, 815, 476, 278, 269, 6110, 271, 546, 815, 476, 278, 269, 6110, 271, 692, 275, 5231, 10426, 454, 260, 260, 1449, 476, 275, 1535, 284, 271, 282, 344, 284, 11277, 3393, 282, 288, 284, 271, 282, 289, 284, 272, 282, 290, 284, 271, 282, 586, 6831, 8091, 815, 476, 11277, 3393, 282, 4159, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 4297, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 2525, 271, 2020, 323, 815, 476, 11277, 3393, 20735, 815, 476, 11277, 3393, 546, 815, 476, 11277, 3393, 692, 276, 5231, 10426, 454, 260, 260, 1449, 476, 276, 1535, 284, 271, 282, 344, 15871, 11277, 3393, 282, 288, 284, 271, 282, 289, 284, 272, 282, 290, 284, 271, 282, 586, 6831, 8091, 815, 476, 11277, 3393, 282, 4159, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 4297, 7682, 263, 11274, 3799, 5436, 299, 523, 3287, 11971, 267, 288, 32390, 267, 290, 9984, 344, 6831, 8091, 264, 2525, 271, 2020, 323, 815, 476, 11277, 3393, 20735, 815, 476, 11277, 3393, 546, 815, 476, 11277, 3393, 692, 2162, 7991, 7066, 5501, 15391, 692, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 2439, 9359, 15391, 532, 256 ]

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

[ 0, 18851, 1477, 9223, 1477, 11693, 1079, 15044, 14249, 267, 971, 602, 519, 14249, 949, 723, 930, 1455, 2609, 269, 4855, 519, 2040, 540, 519, 5021, 2040, 2619, 547, 3914, 689, 519, 4098, 540, 1022, 5044, 547, 1439, 540, 1022, 540, 519, 1079, 14249, 269, 1284, 666, 6467, 689, 835, 5044, 547, 1776, 5044, 1152, 693, 1455, 2609, 269, 5897, 19152, 6609, 1477, 5575, 1899, 814, 3259, 540, 1079, 2855, 1477, 13553, 1899, 814, 2855, 272, 1477, 23612, 1899, 814, 2855, 273, 1477, 20479, 6609, 1477, 2745, 519, 2040, 1477, 15008, 1477, 19152, 281, 818, 272, 26514, 815, 2715, 273, 267, 476, 274, 267, 476, 278, 267, 476, 1015, 267, 476, 1321, 348, 1477, 11434, 818, 273, 26514, 815, 2715, 272, 267, 476, 276, 267, 476, 278, 267, 476, 279, 348, 1477, 20479, 281, 476, 3374, 5897, 15008, 281, 476, 3374, 568, 2040, 540, 476, 272, 1341, 476, 276, 1341, 476, 278, 1341, 476, 1015, 1341, 476, 1321, 23228, 2171, 1376, 689, 519, 1101, 3693, 540, 2855, 273, 799, 568, 476, 272, 267, 1287, 649, 1477, 332, 913, 547, 476, 276, 267, 1287, 476, 278, 269, 476, 3245, 476, 278, 267, 649, 6467, 547, 818, 272, 630, 553, 476, 278, 568, 1455, 3418, 663, 29906, 476, 1015, 543, 476, 1321, 269, 5897, 19152, 1477, 273, 476, 273, 1477, 272, 476, 273, 476, 274, 1477, 272, 476, 273, 476, 274, 1477, 20479, 1477, 277, 5897, 19152, 1477, 276, 476, 275, 1477, 275, 476, 274, 476, 273, 476, 277, 476, 278, 1477, 274, 476, 273, 476, 275, 476, 276, 1477, 20479, 1477, 2767, 5897, 19152, 1477, 272, 476, 273, 1477, 272, 1477, 272, 476, 273, 1477, 20479, 1477, 274, 5897, 295, 842, 1477, 1607, 3322, 12719, 519, 2040, 540, 2609, 1063, 782, 1455, 2798, 540, 1312, 14249, 269, 24269, 972, 568, 513, 1455, 1448, 267, 5635, 519, 1079, 18304, 543, 1039, 519, 5021, 540, 1079, 547, 519, 1267, 23228, 11405, 281, 18851, 1477, 3698, 3193, 26073, 11764, 263, 541, 272, 267, 541, 273, 2073, 544, 2073, 562, 2567, 567, 1477, 453, 328, 267, 795, 815, 476, 271, 267, 476, 271, 21506, 453, 14310, 267, 2040, 272, 267, 2040, 273, 284, 476, 271, 267, 476, 271, 267, 476, 271, 21506, 453, 6112, 630, 328, 2999, 544, 543, 795, 2999, 562, 2567, 21506, 453, 14851, 818, 272, 5157, 316, 2999, 818, 273, 14728, 13912, 21506, 4848, 453, 8999, 272, 6834, 818, 272, 5157, 316, 21506, 4848, 453, 328, 23785, 272, 21506, 453, 453, 19197, 818, 272, 5157, 316, 3436, 818, 273, 14728, 13912, 21506, 4848, 453, 8999, 273, 6834, 818, 273, 14728, 316, 21506, 4848, 453, 329, 23785, 272, 1477, 4848, 1477, 453, 28432, 281, 21506, 4848, 453, 14310, 23785, 3193, 4433, 636, 272, 267, 8999, 273, 3418, 4848, 453, 8999, 272, 267, 2040, 273, 815, 476, 271, 267, 476, 271, 1477, 4848, 453, 6112, 630, 328, 2999, 544, 543, 795, 2999, 562, 543, 818, 272, 5157, 316, 2525, 541, 273, 14728, 316, 2567, 21506, 15235, 453, 14310, 6834, 818, 272, 5157, 316, 21506, 15235, 453, 328, 23785, 272, 1477, 15235, 453, 329, 23785, 272, 1477, 453, 6112, 1775, 2999, 544, 281, 21506, 453, 453, 8999, 272, 6834, 818, 272, 5157, 316, 21506, 453, 453, 328, 23785, 272, 1477, 453, 6112, 795, 2999, 562, 281, 21506, 453, 453, 8999, 273, 6834, 818, 273, 14728, 316, 21506, 453, 453, 329, 23785, 272, 1477, 453, 14310, 6834, 3193, 4433, 636, 272, 267, 8999, 273, 264, 21506, 453, 1477, 16596, 1267, 1477, 301, 267, 300, 284, 14090, 17301, 267, 6358, 14061, 20889, 3890, 3418, 541, 272, 815, 1592, 9852, 777, 17301, 267, 6358, 14061, 20889, 3890, 4297, 21506, 541, 273, 815, 1592, 9852, 777, 17301, 267, 6358, 14061, 20889, 3890, 17903, 332, 815, 7003, 263, 541, 272, 264, 21506, 333, 815, 7003, 263, 541, 273, 264, 21506, 2745, 32384, 26073, 11764, 263, 541, 272, 267, 818, 273, 267, 544, 267, 562, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 280, 281, 6657, 15051, 26659, 538, 6481, 6657, 5004, 1299, 1234, 12494, 9309, 618, 692, 296, 269, 4985, 692, 1103, 2221, 781, 1950, 3782, 1604, 267, 2564, 2853, 616, 896, 2810, 2604, 547, 5838, 1164, 7779, 1416, 1247, 5883, 3790, 267, 5355, 4398, 267, 543, 4509, 9431, 10220, 269, 1677, 3035, 891, 3853, 267, 2259, 4238, 11938, 814, 1831, 513, 2565, 5057, 540, 3811, 2564, 2259, 2359, 269, 901, 3184, 786, 2263, 1883, 2994, 543, 1655, 2853, 602, 666, 948, 11126, 707, 2259, 4238, 267, 3056, 547, 4824, 3461, 4093, 267, 2799, 8907, 267, 8476, 7607, 267, 543, 4389, 11889, 11411, 269, 1284, 786, 1445, 593, 2185, 1292, 2127, 281, 30855, 2657, 6176, 5303, 267, 20074, 10866, 26094, 15789, 267, 20837, 23164, 28521, 18888, 5004, 267, 543, 674, 29183, 16200, 853, 820, 14516, 17716, 780, 2862, 269, 30855, 2657, 6176, 5303, 630, 295, 3951, 2020, 288, 269, 18329, 2657, 19475, 630, 292, 16281, 338, 2020, 272, 269, 11588, 540, 7598, 661, 16281, 1949, 912, 453, 265, 24046, 4791, 3375, 1489, 454, 453, 265, 20865, 6646, 3106, 998, 5907, 1095, 21564, 454, 453, 265, 16842, 10333, 543, 1850, 2225, 540, 2550, 262, 5638, 454, 453, 265, 11120, 4106, 730, 11558, 1063, 7426, 454, 453, 265, 8081, 585, 2551, 1072, 2359, 7341, 454, 273, 269, 12694, 543, 1761, 3435, 912, 453, 265, 11038, 7496, 281, 16418, 856, 2883, 15314, 971, 607, 12791, 995, 2422, 267, 26914, 6938, 267, 543, 824, 2229, 3292, 269, 3958, 267, 2015, 6531, 2861, 20478, 3631, 799, 3335, 723, 2539, 909, 12506, 3790, 3379, 547, 2757, 7746, 2861, 30582, 563, 453, 265, 3038, 3187, 4187, 281, 17372, 4145, 827, 20104, 21463, 676, 5473, 1439, 268, 22852, 538, 1062, 1374, 543, 3246, 7347, 2866, 2200, 269, 22716, 1125, 1279, 3856, 2640, 543, 1761, 1942, 9806, 563, 453, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 314, 1607, 3690, 5296, 568, 1133, 539, 1243, 2639, 13233, 9730, 593, 966, 1388, 543, 2657, 10803, 454, 9288, 7566, 540, 4518, 20492, 593, 912, 2793, 3582, 3201, 31178, 5442, 19489, 7246, 3582, 5442, 15709, 3008, 15045, 308, 6311, 13543, 454, 4047, 22483, 5254, 288, 2316, 306, 23154, 11123, 5990, 476, 2641, 4306, 595, 7728, 7838, 312, 454, 19751, 476, 1789, 267, 476, 1220, 271, 454, 16020, 590, 13616, 9335, 454, 26596, 12770, 267, 4993, 454, 9083, 4905, 10557, 23681, 267, 2672, 924, 476, 8182, 454, 293, 1515, 325, 1314, 267, 9098, 476, 13136, 1789, 454, 307, 21764, 5508, 28132, 19006, 454, 268, 11910, 547, 11352, 543, 13823, 2388, 910, 3220, 269, 700, 2794, 7219, 454, 268, 11137, 540, 3955, 574, 7797, 267, 834, 307, 578, 731, 513, 2817, 2657, 6176, 24486, 910, 3220, 269, 17054, 2006, 454, 268, 19937, 476, 272, 454, 268, 8834, 4236, 18255, 267, 11022, 267, 12463, 295, 454, 268, 32149, 8493, 1676, 267, 12854, 454, 268, 4563, 5112, 5664, 2023, 267, 11022, 267, 12463, 295, 454, 268, 19937, 476, 273, 454, 268, 24697, 681, 269, 28818, 267, 11022, 267, 12463, 295, 454, 268, 6307, 595, 664, 267, 12463, 295, 454, 268, 27692, 3026, 340, 3873, 12528, 267, 3220, 15771, 454, 268, 11137, 540, 3955, 574, 7797, 267, 834, 4537, 12686, 513, 17496, 585, 476, 2641, 560, 11416, 2657, 10803, 257, 910, 3220, 269, 17054, 2006, 454, 268, 19937, 476, 274, 910, 3557, 543, 10871, 267, 5398, 543, 17721, 454, 268, 7812, 14339, 6929, 454, 268, 6424, 1924, 2280, 267, 12854, 454, 268, 661, 269, 9400, 9466, 267, 12854, 454, 268, 19937, 476, 275, 910, 3557, 543, 10871, 267, 5398, 543, 17721, 630, 4186, 8094, 268, 2441, 2088, 5975, 17850, 267, 12854, 267, 12463, 295, 267, 32233, 454, 268, 918, 4331, 15966, 3530, 9445, 267, 29172, 267, 10790, 454, 268, 22189, 661, 269, 12197, 532, 267, 11022, 267, 12463, 295, 267, 32233, 454, 268, 10395, 1441, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20797, 15051, 26659, 257, 607, 851, 540, 834, 25503, 1315, 6657, 5004, 1299, 1234, 12494, 9309, 618, 2668, 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, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 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, 267, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6092, 5149, 281, 25141, 6361, 268, 3519, 1597, 1466, 12267, 538, 11470, 454, 22706, 5426, 281, 5664, 3427, 454, 32098, 9351, 281, 16337, 1315, 4168, 1315, 23620, 1315, 4937, 692, 8893, 11137, 912, 1103, 713, 3992, 267, 649, 786, 2263, 519, 1523, 540, 7365, 6361, 8410, 1597, 1466, 2984, 1369, 519, 9135, 540, 5708, 267, 4481, 2519, 593, 4168, 15832, 9089, 269, 1452, 2984, 31721, 1472, 1079, 3197, 945, 4283, 883, 513, 7365, 6876, 585, 4052, 4128, 2864, 982, 2648, 269, 1717, 267, 607, 789, 6330, 998, 741, 1007, 1272, 1927, 267, 789, 3605, 6397, 4606, 543, 1020, 513, 4514, 4276, 269, 1635, 6313, 1585, 1806, 267, 596, 786, 1174, 1946, 891, 2984, 723, 26970, 3988, 2429, 1686, 543, 3136, 547, 2611, 2442, 2221, 780, 4089, 476, 272, 281, 4197, 25141, 6361, 268, 3519, 1597, 1466, 12267, 454, 5970, 596, 2479, 4862, 519, 8360, 834, 641, 1842, 2572, 4482, 22172, 2334, 2856, 1419, 3029, 519, 4493, 540, 1082, 14070, 32741, 1141, 1079, 1004, 2887, 538, 2648, 5103, 741, 3604, 269, 1809, 972, 781, 1776, 1826, 540, 11509, 1650, 602, 1522, 3100, 8966, 693, 1101, 16145, 910, 519, 7365, 6361, 8410, 1597, 1466, 9661, 2439, 288, 7365, 540, 13418, 568, 950, 1079, 2043, 6430, 547, 19533, 1142, 824, 5097, 585, 1514, 267, 2883, 267, 610, 2797, 2744, 3079, 540, 7525, 15754, 610, 6612, 269, 10705, 267, 891, 15185, 2097, 689, 1114, 10080, 267, 4865, 20849, 14789, 267, 610, 2671, 2370, 1455, 2666, 269, 11048, 267, 789, 3858, 547, 17063, 519, 24516, 1813, 547, 5007, 12503, 610, 6381, 269, 1306, 942, 10596, 267, 789, 7930, 1451, 811, 827, 835, 1776, 267, 3056, 873, 547, 2243, 952, 741, 3355, 11460, 729, 8806, 10375, 610, 1945, 1454, 811, 7096, 780, 4089, 476, 273, 281, 10289, 4168, 25141, 6361, 268, 3519, 1597, 1466, 26358, 454, 22146, 5708, 814, 1279, 1044, 1634, 585, 922, 10575, 14823, 6835, 267, 2178, 5837, 2418, 267, 543, 11121, 6386, 269, 1879, 5916, 609, 519, 10578, 23350, 540, 513, 7365, 540, 13418, 267, 971, 2984, 2709, 2189, 4030, 883, 3347, 267, 5132, 267, 543, 1582, 22523, 780, 2690, 1383, 267, 2015, 519, 3209, 834, 763, 717, 1478, 1145, 540, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 320, 14951, 2389, 17311, 540, 3332, 454, 30036, 5501, 1336, 6456, 609, 1100, 2963, 540, 9562, 454, 21270, 4629, 310, 10345, 519, 3135, 585, 824, 1568, 676, 713, 2278, 454, 263, 663, 938, 824, 4589, 264, 610, 1205, 670, 5085, 303, 7335, 267, 8281, 532, 543, 20593, 1154, 6119, 994, 10345, 24086, 519, 3003, 3135, 609, 5616, 13505, 9612, 454, 17138, 281, 634, 8466, 715, 2074, 262, 30007, 630, 274, 6113, 10022, 264, 8191, 281, 681, 2378, 6130, 17939, 520, 7236, 2608, 589, 5741, 717, 9790, 6199, 5245, 26496, 2608, 26496, 3143, 12727, 476, 9610, 14338, 272, 327, 11258, 5678, 281, 2296, 11261, 1101, 11540, 281, 4728, 476, 1001, 275, 11261, 1034, 5063, 8242, 281, 4728, 476, 1001, 275, 21277, 1027, 676, 281, 2051, 514, 932, 13331, 5741, 717, 9790, 6199, 540, 5245, 552, 20486, 616, 2813, 689, 9102, 21820, 799, 616, 538, 519, 1857, 6389, 538, 5245, 267, 8259, 513, 10677, 5469, 568, 3769, 269, 1284, 798, 10691, 1832, 1022, 552, 20486, 538, 10220, 609, 513, 1880, 1957, 7160, 269, 14645, 4031, 616, 4657, 782, 936, 519, 1158, 269, 2142, 2386, 547, 2638, 519, 10677, 4031, 585, 707, 2197, 1354, 23842, 610, 23799, 1026, 5024, 713, 3758, 269, 901, 26496, 568, 1500, 2139, 693, 1100, 1942, 543, 609, 3592, 1100, 9993, 31049, 269, 1411, 949, 5299, 621, 267, 2285, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11321, 5846, 6361, 268, 3519, 1597, 1466, 12267, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 23620, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 3445, 4113, 2490, 683, 328, 24383, 669, 327, 3511, 15854, 692, 29173, 19790, 1990, 11672, 476, 272, 1384, 291, 574, 5014, 669, 340, 1984, 9014, 268, 1695, 13545, 17427, 986, 3369, 692, 327, 11921, 3534, 7254, 1990, 1177, 978, 962, 454, 327, 11921, 3534, 694, 328, 1990, 1177, 978, 2473, 454, 299, 9554, 1990, 879, 1990, 1177, 978, 513, 562, 328, 661, 454, 3721, 1990, 1177, 978, 1990, 1177, 978, 595, 454, 25583, 554, 20692, 2967, 22917, 1990, 1177, 330, 623, 454, 3721, 11098, 513, 562, 328, 2098, 454, 3721, 27205, 693, 18553, 986, 1233, 669, 16852, 752, 630, 2889, 13700, 4288, 264, 513, 1659, 332, 674, 692, 1012, 12414, 476, 3445, 683, 328, 24383, 669, 327, 3511, 15854, 4113, 692, 291, 574, 3290, 544, 600, 1177, 327, 751, 669, 340, 13545, 331, 836, 986, 3369, 1984, 9014, 268, 1695, 513, 562, 328, 692, 311, 910, 24383, 2987, 513, 561, 340, 1695, 2881, 688, 1233, 3534, 694, 328, 1990, 1177, 978, 454, 312, 910, 669, 24849, 978, 737, 1002, 3534, 6989, 1377, 693, 18553, 669, 24849, 978, 554, 333, 8811, 3534, 6989, 1377, 555, 331, 1263, 320, 7254, 1990, 1177, 978, 454, 292, 910, 700, 9554, 1990, 879, 1990, 1177, 978, 513, 562, 328, 454, 293, 910, 3366, 613, 1900, 32162, 836, 32162, 836, 513, 1659, 332, 454, 313, 910, 5153, 11098, 513, 562, 328, 692, 290, 910, 1900, 1990, 1177, 978, 1990, 1177, 978, 1297, 454, 303, 910, 5153, 1659, 332, 1990, 520, 1341, 554, 22861, 692, 1805, 4202, 9100, 15854, 669, 327, 3511, 15854, 28624, 24383, 546, 532, 4594, 669, 327, 3511, 513, 328, 514, 513, 1207, 28216, 331, 752, 632, 7795, 554, 548, 330, 513, 562, 328, 563, 1805, 4202, 1659, 3149, 600, 3534, 669, 327, 3511, 15854, 669, 340, 1900, 694, 328, 1990, 1177, 978, 693, 18553, 4542, 554, 332, 18553, 669, 327, 583, 513, 562, 328, 563, 300, 8811, 2590, 1183, 4050, 694, 328, 1990, 1177, 978, 28624, 4699, 476, 2568, 693, 18553, 476, 5780, 13504, 541, 513, 562, 328, 513, 267, 513, 642, 2967, 514, 4699, 476, 8287, 513, 562, 328, 563, 1805, 1515, 13826, 8356, 600, 512, 752, 669, 340, 4542, 562, 523, 513, 538, 332, 559, 513, 562, 328, 281, 476, 273, 1900, 15627, 1341, 1900, 555, 4157, 512, 752, 513, 562, 328, 815, 476, 8287, 22144, 274, 4699, 780, 1805, 4202, 693, 18553, 513, 554, 333, 3554, 10874, 669, 340, 476, 1789, 4113, 693, 18553, 476, 2412, 4113, 555, 331, 1263, 513, 562, 328, 563, 1805, 4202, 1900, 555, 4157, 1990, 1177, 978, 669, 340, 32176, 16554, 1177, 330, 2450, 476, 3393, 910, 513, 512, 12661, 10874, 1695, 476, 2764, 268, 1789, 4699, 562, 523, 513, 538, 332, 559, 2881, 513, 562, 328, 563, 288, 555, 4157, 561, 2129, 3534, 669, 340, 1900, 693, 18553, 513, 986, 1233, 669, 16852, 752, 554, 1014, 513, 737, 21065, 519, 328, 513, 562, 328, 563, 3721, 7254, 1990, 1177, 978, 28624, 476, 736, 268, 1839, 4699, 555, 331, 1263, 513, 562, 328, 2881, 513, 562, 328, 780, 5522, 520, 845, 7254, 1990, 1177, 978, 30392, 327, 555, 331, 752, 3880, 331, 3133, 2881, 660, 762, 1659, 3149, 600, 3534, 669, 340, 1775, 27764, 519, 328, 536, 1177, 330, 780, 25284, 1889, 554, 1014, 7432, 24383, 8584, 5373, 14482, 669, 340, 2596, 5086, 682, 327, 10155, 14482, 562, 523, 513, 521, 3554, 2587, 563, 19352, 532, 268, 1695, 554, 1014, 24383, 14482, 10155, 1990, 1177, 978, 1990, 1177, 978, 513, 31423, 513, 267, 6367, 11415, 8584, 1900, 669, 2426, 4594, 267, 1900, 4893, 32162, 836, 32162, 836, 682, 327, 1900, 14482, 10155, 561, 1014, 10874, 10874, 974, 669, 340, 513, 669, 327, 514, 577, 327, 11672, 3534, 513, 562, 328, 780, 12041, 540, 519, 1788, 281, 667, 2466, 787, 11809, 527, 990 ]

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

[ 0, 312, 1446, 4521, 3427, 454, 1103, 1455, 1876, 1949, 267, 16488, 949, 1118, 11006, 2013, 1876, 998, 30675, 267, 4352, 593, 8317, 713, 949, 581, 16765, 29354, 676, 513, 2362, 5480, 610, 519, 23328, 269, 25214, 267, 3909, 1876, 814, 6766, 16712, 6927, 543, 568, 267, 607, 540, 519, 476, 2641, 560, 2540, 267, 1869, 538, 946, 538, 930, 3909, 2950, 269, 1744, 7559, 1876, 1759, 593, 9099, 3741, 568, 1031, 607, 519, 3119, 3656, 1062, 538, 1896, 2477, 267, 1519, 9459, 543, 18142, 17936, 269, 18366, 540, 4031, 267, 610, 4357, 3486, 1876, 538, 3540, 1876, 2477, 267, 4145, 799, 16278, 513, 3656, 15539, 1063, 4357, 6105, 1058, 581, 4862, 538, 543, 799, 16278, 779, 1876, 1058, 581, 4294, 269, 4653, 267, 4213, 616, 5051, 5827, 540, 13346, 3854, 543, 11668, 3761, 11800, 2066, 10665, 267, 607, 1134, 607, 9467, 609, 18246, 4213, 267, 1818, 519, 2243, 540, 799, 2197, 814, 16278, 1256, 811, 10296, 269, 23207, 2338, 540, 4213, 1904, 585, 5010, 32404, 896, 519, 1715, 3840, 13482, 476, 4198, 279, 563, 268, 1133, 3286, 23918 ]

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

[ 0, 2304, 1163, 27074, 622, 9721, 2551, 538, 1022, 2197, 824, 982, 8581, 610, 8832, 8581, 568, 3622, 2808, 547, 581, 9721, 32164, 7847, 543, 741, 18939, 267, 693, 2547, 547, 519, 6708, 602, 519, 1004, 3238, 616, 3222, 540, 741, 9721, 6561, 543, 8348, 547, 11760, 621, 269, 901, 4214, 10039, 547, 936, 476, 3199, 2929, 1004, 267, 14320, 811, 982, 519, 476, 274, 2929, 540, 9721, 22874, 945, 21078, 538, 824, 2477, 269, 901, 4130, 1895, 568, 3989, 676, 519, 2229, 540, 8581, 538, 3656, 2474, 607, 1346, 540, 9721, 22874, 945, 4356, 1302, 21078, 3544, 540, 519, 6532, 540, 8581, 269, 898, 2882, 9721, 4961, 945, 723, 32164, 3603, 13383, 543, 741, 1453, 267, 945, 616, 9721, 4961, 676, 16350, 896, 9721, 1876, 269, 898, 849, 2882, 741, 6264, 18244, 538, 2665, 1141, 789, 941, 10805, 607, 9721, 4961, 538, 519, 14579, 21960, 2195, 19193, 4371, 538, 1169, 9721, 20320, 5692, 563, 763, 1292, 2376, 9721, 29563, 3568, 3877, 540, 1034, 1163, 27074, 622, 9721, 5095, 267, 543, 2488, 6402, 547, 1292, 4930, 827, 1082, 540, 873, 269, 901, 2376, 6799, 1346, 6402, 267, 543, 930, 1866, 267, 538, 9184, 983, 1106, 11231, 9904, 1227, 676, 2197, 563, 347, 8512, 540, 513, 3126, 593, 454, 347, 3528, 3148, 610, 2197, 454, 30054, 16722, 543, 22463, 454, 347, 14532, 540, 8581 ]

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

[ 0, 289, 12864, 5999, 454, 266, 272, 8917, 692, 258, 7201, 519, 9117, 540, 513, 3196, 623, 267, 519, 1560, 666, 1405, 7575, 909, 606, 13141, 710, 689, 3355, 2990, 1269, 343, 318, 272, 15871, 5611, 6515, 259, 547, 1269, 343, 318, 273, 284, 3199, 20939, 332, 259, 1141, 1269, 343, 284, 271, 259, 568, 519, 13417, 516, 3481, 2990, 540, 519, 5614, 2059, 519, 13141, 710, 269, 4855, 519, 960, 2944, 676, 519, 5614, 692, 259, 263, 320, 9385, 282, 275, 269, 6734, 31046, 297, 315, 15153, 630, 321, 9385, 282, 273, 269, 1839, 31046, 297, 1422, 15153, 630, 322, 9385, 282, 476, 274, 269, 276, 31046, 297, 1422, 15153, 630, 323, 9385, 282, 275, 269, 7176, 31046, 297, 6911, 5804, 1269, 343, 24210, 318, 272, 259, 547, 1269, 343, 284, 271, 259, 3196, 568, 2059, 12761, 454, 773, 960, 2944, 1269, 7807, 26171, 21702, 346, 272, 2410, 273, 6525, 330, 343, 318, 272, 317, 273, 689, 1535, 284, 271, 547, 1535, 24210, 318, 273, 3196, 568, 6587, 540, 8420, 576, 618, 865, 960, 2944, 568, 28363, 26171, 21702, 346, 272, 2410, 273, 6525, 330, 343, 318, 273, 317, 273, 14204, 7445, 11004, 1150, 259, 11192, 960, 2944, 1269, 7807, 26171, 21702, 346, 4335, 2410, 273, 6525, 315, 15927, 326, 27007, 271, 269, 1428, 8203, 273, 24179, 271, 269, 5400, 8203, 273, 315, 15927, 326, 316, 14204, 7445, 29911, 284, 476, 275, 269, 6734, 20939, 297, 14204, 17798, 513, 568, 519, 2953, 2626, 780, 539, 1243, 4924, 476, 1704, 267, 476, 1001, 275, 676, 803, 6511, 4877 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4486, 2187, 1038, 1582, 21606, 815, 1883, 454, 1038, 1582, 16000, 815, 1582, 16192, 815, 7183, 692, 825, 1219, 7696, 4311, 267, 11907, 2187, 1038, 952, 1582, 21606, 912, 2018, 952, 1239, 10922, 1582, 21606, 912, 3546, 952, 1582, 16000, 912, 7386, 1582, 16000, 27044, 16597, 994, 3546, 3116, 912, 7386, 6843, 815, 19219, 16597, 994, 7386, 1582, 16000, 815, 6843, 454, 2018, 8640, 1239, 3436, 1582, 21606, 912, 3546, 952, 1582, 16192, 912, 7386, 1582, 16192, 27044, 16597, 994, 3546, 3116, 912, 7386, 6843, 815, 19219, 16597, 994, 7386, 1582, 16192, 815, 6843, 454, 1038, 3116, 912, 2018, 1582, 21606, 815, 1239, 692, 825, 1219, 538, 4650, 4311, 267, 10174, 2187, 1038, 759, 815, 11713, 1038, 952, 3597, 912, 2018, 759, 815, 1582, 23357, 4650, 20172, 16000, 994, 2018, 759, 6910, 20172, 21606, 994, 2018, 759, 6834, 1582, 23357, 4650, 20172, 16192, 994, 1038, 2132, 759, 22562, 825, 1219, 1990, 580, 345, 698, 4311, 267, 10174, 2187, 1038, 952, 3597, 568, 7183, 912, 2018, 2132, 28329, 1038, 1699, 24038, 815, 11713, 1038, 1985, 24038, 815, 29129, 1038, 561, 13700, 815, 6936, 692, 1038, 1699, 24038, 6910, 20172, 2020, 1038, 1247, 7003, 263, 9690, 24038, 264, 3436, 476, 271, 912, 2018, 10917, 815, 1699, 24038, 21014, 8987, 272, 994, 2018, 1820, 6025, 11391, 21606, 2020, 2018, 952, 561, 13700, 912, 3546, 952, 10917, 16000, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16000, 994, 3546, 952, 10917, 16192, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16192, 994, 2018, 3116, 912, 3546, 952, 10917, 16192, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16192, 994, 3546, 952, 10917, 16000, 912, 7386, 1985, 24038, 6910, 6025, 11391, 16000, 994, 27030, 2018, 952, 7003, 263, 9690, 24038, 264, 2652, 476, 271, 912, 3546, 561, 13700, 815, 711, 561, 13700, 454, 3546, 1699, 24038, 267, 10113, 24038, 815, 1985, 24038, 267, 9690, 24038, 692, 10174, 815, 19219, 263, 2004, 994, 10174, 27044, 263, 736, 994, 10174, 27044, 263, 1789, 994, 10174, 27044, 263, 276, 994, 10174, 27044, 263, 1839, 994, 10174, 27044, 263, 2412, 994, 10174, 27044, 263, 3583, 994, 10174, 27044, 263, 2568, 994, 2745, 20172, 23357, 4650, 20172, 4917, 10174, 269, 345, 580, 345, 698, 20172, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 280, 281, 3212, 1359, 883, 519, 570, 4176, 2622, 910, 589, 17714, 3414, 5843, 2675, 4878, 692, 5970, 596, 2479, 16545, 1373, 2111, 547, 2263, 513, 6456, 7122, 2407, 540, 13300, 602, 616, 1932, 1507, 585, 938, 4064, 547, 1294, 286, 4270, 267, 9939, 1176, 585, 721, 8049, 17701, 267, 972, 781, 1945, 1572, 513, 17209, 256, 2060, 621, 267, 649, 666, 4685, 883, 513, 2898, 1007, 1158, 602, 6818, 782, 1472, 721, 269, 901, 3184, 786, 6338, 596, 547, 891, 9735, 2645, 1247, 2921, 596, 1900, 676, 1900, 998, 519, 9589, 3460, 540, 1769, 607, 621, 2337, 9145, 8554, 7866, 1256, 519, 17646, 5006, 3877, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 1205, 3323, 2439, 8512, 594, 281, 22628, 568, 5617, 773, 1324, 1107, 1215, 5843, 2675, 8554, 6435, 2974, 10812, 519, 9540, 2622, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19859, 2675, 8554, 723, 1044, 1472, 585, 5553, 267, 4543, 721, 1174, 543, 7747, 519, 14960, 540, 519, 1158, 1472, 721, 693, 513, 18784, 1377, 269, 1809, 723, 596, 2479, 9289, 875, 1769, 12599, 998, 513, 17209, 547, 1711, 1346, 2143, 2592, 649, 1294, 286, 4197, 875, 1769, 12599, 998, 513, 17209, 568, 2629, 547, 13844, 2312, 543, 4977, 2592, 269, 769, 713, 2376, 267, 649, 786, 1491, 513, 6251, 1413, 693, 875, 1281, 1769, 2951, 998, 519, 17209, 267, 519, 1114, 3334, 3238, 543, 741, 3252, 563, 21995, 10417, 540, 8752, 13488, 454, 26903, 540, 8752, 454, 23409, 568, 513, 1106, 540, 13590, 5951, 602, 12599, 538, 2786, 3515, 609, 513, 3586, 3432, 540, 827, 476, 5908, 267, 28434, 5195, 829, 2034, 269, 898, 568, 1500, 909, 540, 22726, 267, 799, 616, 10026, 5536, 602, 723, 1312, 5951, 6438, 543, 9325, 6438, 7907, 269, 7353, 976, 723, 1100, 2527, 267, 855, 789, 723, 1648, 543, 11610, 563, 1692, 8752, 3004, 12069, 454, 23409, 666, 2951, 998, 1585, 23447, 267, 1519, 2011, 267, 1216, 267, 543, 4837, 269, 634, 3432, 540, 1769, 538, 1114, 23447, 9775, 267, 543, 713, 3123, 555, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5843, 2675, 8554, 1299, 5843, 2675, 4878, 1315, 8111, 268, 4910, 1828, 5843, 2675, 4878, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]

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

[ 0, 19667, 1707, 11628, 9752, 8293, 1563, 1912, 9582, 6096, 454, 19667, 1707, 11628, 9752, 8293, 1563, 1912, 9582, 6096, 563, 2690, 1169, 1377, 267, 972, 616, 18551, 3211, 8720, 1142, 5578, 602, 18551, 5869, 11414, 269, 1912, 9582, 3211, 616, 513, 1390, 1259, 547, 1205, 707, 1126, 4712, 585, 811, 4359, 1983, 538, 519, 1455, 4295, 1533, 4441, 269, 693, 713, 1448, 267, 1034, 540, 707, 1053, 917, 875, 547, 1224, 543, 2328, 513, 1906, 1913, 543, 786, 581, 2111, 547, 10956, 1913, 602, 616, 1455, 547, 873, 563, 1607, 32620, 4359, 1377, 23519, 12857, 1142, 4484, 540, 519, 9904, 538, 25777, 621, 568, 2966, 585, 1453, 945, 616, 4712, 547, 1376, 25777, 1603, 610, 1346, 945, 991, 29433, 25777, 1603, 2259, 269, 10472, 23519, 3568, 9212, 543, 1568, 538, 9904, 673, 1931, 630, 18314, 9212, 2407, 540, 1187, 563, 611, 341, 2331, 3232, 3211, 269, 1118, 707, 1378, 3232, 6863, 3211, 10959, 269, 4359, 5036, 630, 15553, 569, 264, 540, 6863, 1759, 2542, 8223, 269, 4098, 5036, 630, 15553, 569, 264, 540, 6863, 1759, 2542, 8223, 269, 2090, 4441, 1759, 2542, 8223, 3211, 563, 17582, 18694, 2542, 1863, 6824, 3211, 3446, 19420, 517, 2979, 8454, 17447, 3756, 1187, 2238, 3214, 4359, 2055, 2645, 18551, 269, 1912, 9582, 4079, 3211, 4359, 269, 7335, 18551, 1603, 3232, 7924, 2259, 9656, 3211, 3446, 476, 272, 2534, 1863, 7792, 22525, 2238, 3610, 13004, 2979, 4359, 269, 15026, 3113, 1957, 2010, 2055, 3211, 2596, 18551, 1863, 3446, 476, 272, 3450, 2979, 5955, 4359, 269, 1912, 9582, 4976, 4359, 3211, 269, 17006, 2338, 4976, 3446, 20800, 3652, 2689, 3211, 4359, 2979, 2055, 4267, 2542, 3756, 1449, 1982, 2875, 8631, 18551, 269, 6103, 18551, 4976, 4359, 3211, 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 ]

[ 0, 763, 30594, 22913, 5741, 568, 8989, 3078, 2164, 1644, 547, 22130, 543, 9450, 27948, 2504, 543, 519, 1646, 540, 3209, 6289, 24899, 22683, 10827, 919, 563, 294, 1905, 515, 928, 2389, 8972, 6289, 578, 2231, 1223, 4166, 5372, 1699, 5905, 31653, 2029, 267, 4227, 2504, 3790, 543, 3850, 585, 811, 10097, 267, 8465, 10525, 563, 12867, 1867, 602, 17335, 290, 18199, 338, 616, 8685, 983, 22130, 538, 513, 2189, 6186, 24316, 12122, 267, 4611, 689, 519, 2208, 540, 513, 1990, 580, 345, 698, 22130, 26781, 563, 6124, 960, 2982, 602, 1007, 1362, 540, 6289, 665, 15009, 1023, 13745, 547, 22130, 3123, 1979, 7721, 31842, 976, 547, 1995, 21921, 1588, 543, 21800, 12998, 540, 27141, 8424, 563, 10673, 724, 7699, 2160, 3173, 3132, 22130, 543, 22130, 23282, 18694, 630, 294, 10064, 8358, 2704, 273, 302, 274, 29322, 563, 31590, 8872, 2861, 3113, 12792, 3327, 6491, 20183, 814, 519, 1761, 547, 2087, 27820, 1031, 538, 5907, 3457, 563, 12867, 723, 7152, 513, 4480, 17929, 519, 5907, 3601, 540, 717, 8042, 10636, 739, 23461, 666, 581, 9168, 609, 7298, 1769, 563, 12867, 1711, 606, 5841, 3114, 9300, 1759, 593, 835, 540, 519, 1480, 1560, 779, 1034, 1271, 13364, 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 ]

[ 0, 9223, 281, 5253, 543, 9373, 8877, 281, 1215, 547, 1118, 513, 887, 770, 3434, 5488, 269, 6333, 887, 8463, 707, 12129, 538, 513, 28681, 14089, 269, 901, 5986, 1184, 1568, 676, 1210, 513, 10178, 547, 11179, 9514, 3905, 2011, 5196, 519, 5779, 2864, 982, 1175, 3295, 621, 267, 543, 607, 513, 1267, 596, 666, 887, 770, 8286, 543, 5011, 5111, 476, 1839, 260, 5488, 982, 609, 513, 2834, 14089, 269, 1403, 942, 568, 513, 3815, 585, 596, 267, 596, 949, 6999, 547, 2015, 11449, 543, 1210, 513, 28681, 14089, 269, 3097, 271, 269, 1230, 557, 794, 9065, 839, 616, 1804, 2614, 547, 1683, 476, 7742, 268, 4968, 3764, 693, 4055, 2837, 269, 634, 5986, 942, 568, 6829, 538, 3268, 2630, 563, 272, 269, 4329, 267, 2094, 621, 3217, 513, 2603, 811, 960, 547, 3035, 519, 1267, 596, 7287, 267, 596, 786, 2693, 581, 8572, 547, 3434, 5779, 6151, 1210, 513, 2757, 14089, 269, 1496, 11357, 25074, 316, 1411, 666, 1265, 28681, 9065, 839, 693, 1034, 2199, 8800, 8637, 563, 273, 269, 1496, 11357, 25074, 316, 1230, 557, 794, 9065, 839, 666, 3622, 581, 6378, 269, 1403, 596, 1616, 547, 4688, 1648, 543, 1831, 8902, 267, 789, 849, 946, 6633, 518, 5210, 540, 476, 2004, 11019, 535, 630, 275, 11019, 524, 264, 609, 513, 4756, 4259, 563, 274, 269, 1496, 27583, 316, 2422, 513, 2604, 3434, 518, 547, 887, 770, 5779, 3533, 269, 1496, 21163, 316, 16242, 3434, 619, 9252, 519, 887, 770, 676, 1210, 513, 1390, 4308, 540, 2604, 543, 3196, 519, 3002, 883, 519, 5779, 563, 12585, 281, 476, 274 ]

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

[ 0, 7093, 5632, 322, 1822, 277, 1729, 9826, 271, 22240, 3066, 692, 258, 2776, 5632, 322, 1822, 277, 1729, 9826, 271, 22240, 3066, 910, 630, 4089, 476, 271, 269, 280, 22217, 4328, 13718, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 263, 4089, 476, 271, 269, 280, 281, 22217, 4328, 10789, 545, 25285, 264, 476, 271, 269, 280, 269, 1556, 8210, 5558, 5473, 17773, 18438, 630, 29589, 539, 856, 264, 13565, 22043, 4813, 10358, 22227, 1535, 476, 273, 1535, 343, 1341, 476, 275, 20465, 815, 1535, 476, 272, 1535, 1341, 476, 275, 1535, 13008, 476, 271, 815, 1535, 1535, 1341, 476, 275, 1535, 13008, 476, 271, 1284, 666, 22599, 630, 12061, 14706, 267, 6697, 264, 2188, 540, 519, 3003, 19362, 543, 519, 3003, 14009, 269, 513, 476, 272, 1341, 536, 476, 272, 815, 513, 1341, 536, 476, 272, 1547, 476, 272, 513, 1341, 476, 272, 536, 815, 476, 272, 513, 13008, 536, 536, 1341, 476, 272, 536, 13008, 513, 513, 815, 536, 1341, 513, 705, 2073, 610, 513, 1341, 536, 705, 1547, 1403, 649, 1039, 899, 8454, 267, 649, 1039, 519, 6746, 2209, 543, 1832, 519, 1455, 14009, 269, 1403, 649, 1039, 7429, 8454, 267, 649, 798, 711, 1039, 519, 32159, 1547, 513, 546, 13008, 536, 1341, 524, 546, 815, 513, 13008, 536, 1341, 524, 546, 589, 6824, 2516, 1927, 922, 19362, 630, 663, 2516, 1927, 922, 14009, 15426, 476, 272, 1535, 1341, 476, 272, 1535, 476, 273, 815, 1535, 13008, 476, 272, 1341, 1535, 13008, 476, 273, 5589, 760, 10635, 1023, 3112, 581, 3144, 2165, 8386, 3856, 269, 476, 272, 476, 278, 1535, 13008, 476, 275, 270, 274, 815, 476, 272, 476, 278, 1535, 1535, 476, 11054, 476, 271, 634, 2942, 20800, 1152, 10039, 547, 1535, 1547, 29332, 5588, 27237, 2464, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 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 ]

[ 0, 294, 5782, 14033, 2421, 5900, 3555, 16071, 454, 294, 5782, 568, 513, 2749, 543, 513, 29109, 4092, 538, 519, 674, 12661, 880, 16323, 540, 19934, 269, 898, 568, 519, 3854, 543, 7887, 2749, 540, 519, 5101, 674, 1633, 619, 11662, 269, 634, 2749, 3323, 607, 513, 11175, 693, 519, 1476, 26475, 540, 519, 23117, 2480, 18988, 339, 543, 700, 903, 543, 538, 519, 5664, 12698, 2968, 835, 540, 519, 4102, 543, 29659, 4872, 540, 7187, 2342, 563, 8698, 717, 5782, 3391, 3436 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4578, 5815, 602, 3114, 14107, 8764, 622, 476, 7871, 260, 540, 519, 25825, 602, 8900, 883, 519, 27991, 1901, 820, 7345, 269, 1452, 3114, 14107, 616, 1336, 538, 519, 8031, 540, 2831, 2713, 538, 519, 15922, 269, 6904, 1895, 540, 1004, 945, 2661, 2476, 689, 519, 15922, 1522, 581, 1034, 4299, 676, 891, 3114, 14107, 888, 271, 269, 1004, 945, 3802, 2282, 519, 15922, 454, 272, 269, 1004, 945, 1224, 2835, 827, 519, 15922, 454, 273, 269, 1004, 945, 8532, 3165, 689, 519, 15922, 454, 274, 269, 1004, 945, 1378, 16996, 546, 18088, 538, 519, 15922, 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 ]

[ 0, 3698, 568, 318, 548, 777, 12169, 792, 8029, 825, 20014, 815, 834, 16178, 29177, 825, 952, 1032, 260, 6110, 2525, 271, 6769, 1038, 20014, 815, 834, 12148, 29177, 825, 8640, 1032, 260, 1911, 2525, 271, 543, 1032, 260, 6110, 256, 284, 271, 6769, 1038, 20014, 815, 834, 16178, 29177, 825, 8640, 1032, 260, 275, 2525, 271, 543, 1032, 260, 1911, 256, 284, 271, 6769, 1038, 20014, 815, 834, 12148, 29177, 825, 3116, 6769, 1038, 20014, 815, 834, 16178, 29177, 825, 2132, 20014, 5897, 20204, 815, 703, 263, 3863, 17750, 3890, 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 ]