Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
6
2.05k
attention_mask
sequencelengths
6
2.05k
[ 0, 258, 4855, 519, 2427, 6316, 540, 513, 2834, 2185, 21758, 18158, 952, 922, 4320, 568, 476, 275, 9492, 274, 543, 519, 824, 2427, 540, 519, 3490, 568, 476, 273, 9492, 780, 4131, 779, 946, 519, 4542, 585, 519, 4320, 540, 513, 18158, 780, 309, 815, 590, 2608, 554, 1315, 476, 274, 780, 3528, 2783, 267, 966, 815, 476, 275, 4699, 274, 267, 519, 2427, 693, 519, 3490, 568, 476, 273, 4699, 269, 3973, 590, 815, 476, 273, 2608, 476, 273, 815, 476, 275, 4699, 273, 780, 275, 815, 476, 275, 2608, 554, 1315, 476, 274, 780, 327, 815, 29332, 815, 476, 274, 4699, 780, 3528, 519, 25355, 11532, 267, 649, 1265, 519, 15497, 540, 519, 3490, 540, 519, 18158, 8028, 780, 3722, 9745, 476, 273, 815, 9474, 9745, 476, 273, 1341, 7460, 9745, 476, 273, 815, 476, 275, 1341, 476, 275, 815, 476, 279, 780, 3722, 815, 20734, 279, 815, 476, 273, 2608, 20734, 273, 780, 10190, 267, 589, 302, 815, 8028, 1315, 476, 273, 815, 20734, 273, 780, 13706, 513, 1318, 268, 22931, 6906, 589, 29996, 267, 543, 676, 519, 25355, 11532, 649, 1265, 19200, 780, 28425, 9745, 476, 273, 815, 589, 302, 9745, 476, 273, 1341, 5508, 9745, 476, 273, 815, 476, 273, 1341, 476, 280, 815, 476, 1556, 780, 28425, 815, 20734, 1556, 780, 12585, 281, 634, 2427, 6316, 568, 3160, 547, 20734, 1556, 780, 3080, 540, 519, 3334, 540, 513, 1268, 781, 1967, 538, 938, 942, 568, 8391, 2413, 1164, 7779, 2069, 267, 13215, 519, 1702, 267, 1983, 543, 5759, 2556, 585, 1272, 538, 2486, 269, 589, 1268, 2221, 2115, 547, 1353, 3592, 782, 1010, 1272, 267, 13215, 3388, 1007, 543, 1007, 267, 16565, 519, 2556, 3318, 7907, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2521, 3776, 29393, 454, 763, 6478, 540, 519, 5729, 568, 2483, 320, 3684, 7311, 3002, 538, 14966, 609, 7344, 2604, 267, 607, 585, 6721, 513, 5347, 2627, 593, 1957, 610, 585, 11589, 3282, 563, 14620, 630, 4310, 609, 1843, 994, 1729, 1641, 547, 2126, 538, 513, 3905, 1790, 816, 563, 17780, 593, 519, 15932, 5600, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1001, 277, 563, 29241, 901, 11905, 454, 14300, 689, 519, 5680, 585, 454, 763, 1267, 540, 713, 454, 13195, 2185, 4627, 2367, 267, 9676, 602, 2062, 12158, 563, 23873, 9218, 8847, 585, 454, 320, 3684, 585, 7311, 513, 4999, 540, 3002, 543, 2604, 547, 2285, 513, 5347, 2627, 547, 1957, 267, 547, 2769, 3282, 689, 621, 267, 3092, 454, 264, 547, 1641, 630, 17549, 267, 12308, 267, 3092, 264, 547, 3002, 543, 2604, 547, 2285, 621, 513, 5347, 2627, 610, 1349, 3282, 454, 31890, 2296, 9218, 910, 13159, 1299, 1133, 30457, 476, 1001, 273, 7913, 9990, 454, 15100, 5261, 19811, 25860, 1299, 3213, 269, 13456, 269, 476, 3192, 280, 267, 476, 2735, 277, 9736, 22489, 31890, 454, 8530, 14215, 476, 1960, 279, 267, 476, 1220, 271, 267, 476, 1220, 274, 267, 476, 1220, 276, 267, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 273, 454, 29241, 901, 11905, 454, 20524, 938, 6574, 15942, 327, 3298, 454, 279, 5510, 18566, 16520, 2637, 637, 547, 5192, 2483, 13356, 1712, 519, 4773, 540, 938, 5172, 2483, 15447, 1452, 476, 280, 28871, 4762, 4310, 2483, 4462, 16225, 519, 13655, 540, 519, 7436, 2483, 289, 12864, 811, 3584, 593, 938, 5816, 454, 1432, 1772, 519, 16338, 9737, 2598, 920, 564, 543, 2598, 4740, 888, 9596, 519, 2953, 3096, 540, 891, 1079, 4122, 11821, 4630, 2684, 2158, 563, 1432, 10886, 12984, 3816, 3437, 689, 519, 22843, 888, 1432, 19451, 12332, 5795, 713, 1915, 922, 2012, 888, 1607, 1507, 1665, 814, 1079, 3119, 3096, 281, 547, 24901, 15896, 610, 31360, 5022, 563, 1692, 1684, 594, 5192, 513, 6478, 883, 519, 9218, 888, 10144, 6427, 1007, 1913, 782, 519, 942, 267, 855, 799, 3283, 2965, 1118, 621, 888, 17504, 540, 519, 4303, 454, 11795, 22187, 4994, 585, 454, 293, 1168, 2296, 10529, 2693, 917, 713, 2262, 454, 17504, 10025, 585, 454, 24552, 2060, 14886, 454, 301, 792, 2421, 1913, 585, 3905, 1790, 816, 454, 303, 19991, 540, 14735, 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 ]
[ 0, 1012, 681, 11770, 6199, 4542, 692, 295, 268, 4263, 558, 18121, 292, 3709, 333, 13157, 10559, 2765, 346, 327, 305, 2410, 333, 3867, 273, 22288, 2020, 10817, 345, 2006, 318, 272, 297, 454, 15803, 281, 476, 7761, 454, 16274, 281, 11205, 9484, 476, 1240, 267, 476, 1001, 280, 476, 1321, 281, 1626, 993, 692, 2162, 681, 11770, 6199, 4542, 692, 7617, 568, 519, 681, 11770, 321, 3455, 4542, 286, 769, 519, 751, 343, 1504, 621, 2982, 621, 607, 476, 272, 11320, 320, 767, 2654, 284, 305, 327, 9230, 272, 14672, 272, 317, 273, 9984, 263, 272, 14672, 273, 317, 273, 264, 855, 1247, 6061, 513, 1966, 538, 4901, 602, 4280, 585, 621, 267, 513, 2875, 1031, 2037, 284, 327, 305, 14672, 317, 273, 855, 594, 1705, 711, 1294, 602, 4542, 538, 519, 751, 343, 1504, 585, 851, 476, 272, 288, 269, 594, 723, 14406, 11000, 538, 835, 540, 519, 2250, 4374, 865, 594, 1522, 723, 14406, 713, 1344, 780, 289, 6929, 19358, 338, 4861, 520, 6665, 527, 476, 272, 290, 454, 15803, 281, 476, 15686, 454, 16274, 281, 9045, 4119, 476, 1704, 267, 476, 1001, 280, 476, 1321, 281, 1428, 993, 692, 2162, 1234, 281, 681, 11770, 6199, 4542, 692, 763, 2037, 284, 327, 305, 14672, 317, 273, 4542, 4564, 519, 1648, 606, 6475, 814, 950, 621, 568, 538, 519, 32671, 7387, 269, 634, 681, 11770, 6199, 3830, 267, 476, 272, 11320, 320, 767, 2654, 284, 305, 327, 9230, 272, 14672, 272, 317, 273, 9984, 263, 272, 14672, 273, 317, 273, 1070, 568, 6508, 689, 519, 1689, 538, 1648, 4542, 267, 799, 568, 3803, 1648, 910, 3355, 1648, 267, 2495, 602, 621, 568, 18232, 661, 815, 661, 325, 284, 327, 305, 14672, 317, 273, 910, 661, 328, 284, 327, 305, 14672, 317, 273, 269, 1677, 1205, 519, 681, 11770, 6199, 3830, 689, 713, 4542, 267, 789, 1175, 5258, 782, 519, 2474, 676, 554, 267, 1544, 1188, 5257, 338, 3586, 269, 594, 9327, 1405, 2119, 547, 27655, 519, 681, 11770, 6199, 3830, 269, 5502, 267, 594, 1131, 27655, 519, 4542, 585, 519, 1648, 540, 606, 6475, 267, 2037, 284, 327, 305, 14672, 317, 273, 267, 1317, 621, 2306, 811, 2631, 547, 803, 1523, 1302, 780, 2304, 9017, 274, 294, 454, 15803, 281, 476, 7830, 454, 16274, 281, 11205, 9484, 476, 1240, 267, 476, 1001, 280, 476, 1321, 281, 866, 993, 692, 2162, 1234, 281, 681, 11770, 6199, 4542, 692, 2252, 594, 993, 1620, 519, 1888, 270, 20365, 2243, 7157, 267, 519, 3830, 267, 2037, 284, 327, 305, 14672, 317, 273, 267, 568, 519, 3830, 1031, 547, 1265, 519, 1648, 19501, 676, 606, 670, 11046, 950, 606, 6475, 2306, 513, 5912, 689, 835, 7061, 1377, 547, 1776, 269, 634, 3830, 1281, 946, 519, 681, 11770, 6199, 19693, 281, 476, 274, 269, 3066, 1535, 476, 1015, 317, 1428, 21636, 269, 634, 3830, 538, 519, 1837, 1175, 4667, 547, 581, 1776, 1106, 540, 602, 3830, 1141, 519, 3355, 543, 3803, 562, 616, 2907, 3403, 1540, 547, 2099, 834, 292, 3803, 910, 661, 3355, 257, 547, 1611, 519, 1648, 5950, 543, 519, 4542, 585, 4908, 568, 2907, 3403, 1540, 1932, 269, 16593, 713, 7778, 2337, 2439, 2162, 5808, 568, 2228, 692, 5825, 619, 19855, 713, 8468, 281, 3143, 10805, 3755, 543, 476, 272, 16823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5804, 15089, 1774, 577, 3767, 912, 288, 14368, 924, 18363, 519, 3618, 896, 513, 21737, 5086, 540, 11841, 666, 798, 513, 2603, 540, 3441, 282, 621, 949, 2951, 513, 1279, 1259, 267, 26002, 513, 29503, 883, 519, 2666, 2394, 621, 6368, 11579, 6233, 519, 2627, 269, 634, 1764, 3135, 949, 581, 11517, 1242, 267, 972, 666, 581, 1804, 2127, 540, 25183, 2666, 269, 2353, 602, 3788, 568, 513, 28188, 267, 930, 11935, 267, 543, 606, 3573, 13009, 540, 10969, 566, 593, 1312, 5011, 540, 519, 1764, 3135, 563, 295, 9231, 513, 2627, 609, 1164, 20589, 267, 5230, 12274, 814, 3833, 2147, 2360, 1107, 1152, 593, 513, 1454, 4130, 4336, 269, 2311, 570, 308, 654, 1329, 630, 309, 19652, 1070, 4515, 269, 26179, 589, 636, 599, 337, 543, 1010, 2319, 723, 1044, 4974, 519, 18784, 3889, 799, 616, 4646, 950, 12274, 616, 17991, 693, 14848, 693, 21933, 1664, 7285, 540, 11841, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 898, 729, 3592, 8285, 942, 543, 782, 519, 2370, 9162, 941, 1360, 9599, 256, 1358, 5030, 538, 513, 2462, 11442, 4558, 538, 519, 2295, 540, 513, 14297, 2749, 269, 5272, 1032, 267, 789, 1131, 1294, 1082, 3885, 2097, 883, 519, 4558, 547, 4584, 856, 2027, 9162, 585, 8285, 780, 3080, 1554, 267, 1247, 519, 9162, 941, 4730, 1927, 267, 789, 3323, 11842, 910, 875, 798, 1004, 6430, 799, 9162, 547, 4444, 286, 2368, 540, 519, 9162, 1185, 8068, 602, 811, 543, 811, 3885, 941, 7446, 547, 6300, 2228, 267, 3079, 540, 4947, 883, 519, 4558, 780, 257, 3963, 798, 930, 3885, 4782, 547, 6300, 2228, 8119, 4280, 513, 1507, 22788, 11276, 7703, 780, 288, 8797, 2025, 6564, 12943, 267, 834, 11039, 267, 1250, 3659, 267, 621, 814, 547, 798, 609, 1945, 1572, 1412, 974, 9592, 9538, 1411, 1294, 267, 2029, 2636, 1004, 547, 946, 519, 5769, 547, 1413, 693, 1114, 9162, 543, 1256, 4444, 873, 1510, 6028, 741, 5321, 15323, 763, 9162, 941, 27086, 256, 1358, 4956, 547, 2307, 519, 4558, 8227, 267, 11427, 269, 1849, 9476, 517, 267, 585, 811, 1344, 269, 2701, 6045, 602, 4352, 1082, 3885, 2972, 519, 13418, 540, 2228, 10918, 267, 1866, 1869, 2648, 9683, 1483, 11442, 8637, 1282, 519, 14812, 269, 3807, 899, 1169, 1032, 267, 1352, 4397, 827, 476, 272, 856, 540, 476, 275, 3885, 547, 6300, 2228, 585, 741, 8285, 6799, 780, 10190, 267, 11427, 269, 1849, 9476, 517, 5143, 873, 1776, 4277, 1249, 281, 2477, 971, 607, 5125, 267, 519, 2136, 8003, 267, 543, 519, 13814, 4043, 547, 581, 811, 25274, 4359, 543, 1419, 3442, 547, 6718, 8285, 13344, 2228, 269, 2201, 519, 824, 1688, 267, 4025, 899, 23886, 807, 267, 4678, 16129, 267, 543, 6792, 2356, 4782, 519, 1995, 540, 10918, 538, 2168, 8637, 1282, 519, 30018, 4005, 780, 30342, 8049, 267, 519, 9162, 2219, 827, 1018, 2186, 540, 6300, 11825, 789, 4941, 547, 2743, 1107, 1346, 945, 11751, 1919, 2228, 610, 10272, 741, 17681, 4558, 269, 22582, 267, 513, 6075, 15336, 538, 267, 1200, 7916, 2407, 540, 10516, 8638, 543, 513, 12837, 593, 1200, 3068, 269, 634, 9162, 6785, 1287, 602, 1100, 2339, 2436, 1004, 8359, 2228, 610, 538, 3613, 648, 10918, 267, 519, 9059, 540, 4758, 543, 8391, 13344, 7283, 519, 1482, 269, 1656, 3006, 267, 30122, 4466, 519, 3501, 1459, 666, 1711, 606, 1256, 3152, 7772, 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, 22154, 1257, 568, 7508, 930, 5624, 267, 5225, 1039, 873, 281, 3244, 559, 691, 565, 7360, 792, 267, 6533, 3784, 1993, 5264, 3835, 1087, 7749, 4771, 26020, 15884, 321, 792, 895, 1839, 10065, 30051, 267, 20084, 663, 1492, 301, 5930, 4133, 15756, 1335, 739, 21745, 8558, 822, 11803, 15290, 527, 1260, 652, 641, 3420, 2084, 13731, 5733, 326, 22284, 26020, 267, 6112, 290, 9130, 807, 267, 23272, 16129, 663, 300, 1410, 4815, 15756, 1335, 739, 10177, 6463, 267, 2181, 2536, 2590, 267, 874, 9713, 4958, 841, 3228, 515, 597, 13731, 21346, 7749, 4771, 563, 13436, 547, 2063, 1032, 267, 519, 1297, 540, 10820, 10918, 2228, 786, 581, 1472, 476, 1839, 10065, 5125, 267, 5177, 267, 543, 519, 13814, 616, 519, 1034, 3059, 5260, 11803, 950, 621, 2501, 547, 11449, 8285, 13344, 2228, 269, 2755, 23886, 807, 267, 4678, 16129, 267, 543, 6792, 616, 519, 1034, 2757, 267, 4782, 2590, 2168, 10685, 585, 741, 8285, 10918, 780, 3086, 1577, 803, 2491, 621, 899, 594, 6415, 6158, 547, 513, 476, 276, 4458, 6040, 1384, 9617, 899, 1354, 267, 827, 476, 272, 856, 540, 476, 275, 3885, 786, 4444, 741, 9702, 6799, 593, 519, 4950, 269, 4658, 538, 5125, 267, 519, 5177, 267, 543, 519, 13814, 2731, 899, 9140, 741, 13344, 2228, 269, 1809, 1004, 538, 23886, 807, 267, 4678, 16129, 267, 543, 6792, 899, 2469, 547, 4890, 8637, 585, 741, 9702, 10918, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4884, 1572, 18049, 6807, 267, 5030, 1082, 7874, 1913, 945, 6068, 4730, 1927, 269, 2290, 1554, 267, 789, 4956, 547, 979, 593, 606, 7045, 543, 2263, 1007, 4025, 256, 19850, 267, 23205, 802, 267, 7316, 267, 1284, 267, 19382, 267, 5510, 941, 930, 540, 519, 1101, 1913, 547, 2253, 741, 3460, 780, 2026, 789, 14612, 2059, 267, 789, 3357, 2066, 1585, 4191, 910, 4155, 4191, 267, 6300, 4408, 267, 1256, 9963, 6786, 269, 594, 729, 32695, 6168, 875, 1271, 621, 729, 547, 1246, 891, 4191, 7157, 950, 17270, 8422, 5937, 7645, 9061, 15733, 1063, 5565, 966, 26662, 966, 543, 654, 269, 22582, 267, 898, 781, 901, 8342, 5500, 774, 532, 9575, 741, 3007, 1107, 513, 9490, 13442, 1500, 7357, 540, 6698, 543, 5309, 9822, 725, 780, 257, 20756, 972, 10590, 30870, 19850, 8049, 569, 269, 834, 3963, 798, 596, 1413, 865, 1114, 12482, 257, 11039, 2437, 669, 3089, 1194, 898, 781, 901, 8342, 5500, 774, 532, 267, 834, 296, 948, 2285, 2495, 547, 5220, 269, 6884, 267, 1004, 1118, 9073, 1247, 1603, 803, 1524, 3010, 4504, 571, 8862, 867, 623, 15635, 5262, 267, 513, 6263, 2943, 22800, 18685, 1665, 945, 2141, 10483, 898, 781, 901, 8342, 5500, 774, 532, 267, 3773, 267, 834, 8133, 267, 649, 1419, 1294, 6959, 1644, 547, 8865, 5262, 267, 623, 9417, 6672, 5262, 267, 25745, 12476, 5262, 267, 32693, 5262, 1862, 11004, 616, 1175, 1932, 1082, 15323, 5978, 2828, 689, 18049, 6807, 7691, 519, 2956, 540, 4977, 8239, 6165, 1287, 269, 1358, 4121, 602, 1169, 2582, 3090, 267, 4484, 267, 543, 1297, 814, 922, 1909, 538, 1818, 2792, 2500, 269, 4634, 1498, 789, 24714, 3025, 6785, 713, 25656, 267, 789, 6956, 602, 1565, 2760, 13515, 282, 1310, 782, 267, 2257, 543, 1702, 616, 5318, 5396, 7996, 547, 581, 4362, 780, 4517, 865, 267, 938, 2370, 1895, 4797, 741, 12599, 267, 1631, 811, 3222, 982, 2479, 540, 519, 4644, 540, 1697, 8239, 946, 269, 1656, 4352, 789, 5185, 3875, 2591, 6619, 267, 789, 6743, 4464, 547, 6061, 873, 1927, 267, 3395, 5923, 518, 543, 2186, 518, 2059, 519, 1259, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 11693, 606, 3403, 6908, 267, 519, 6662, 540, 713, 4305, 568, 547, 19665, 2436, 1913, 538, 519, 6908, 616, 19016, 1227, 2953, 610, 711, 269, 634, 3403, 547, 713, 4305, 568, 513, 6908, 540, 1913, 267, 7654, 689, 3061, 687, 6383, 676, 513, 4633, 3562, 17856, 2599, 267, 543, 519, 3977, 568, 513, 8760, 540, 1142, 2262, 689, 519, 10297, 630, 516, 1783, 264, 815, 1496, 17472, 32707, 9281, 293, 630, 322, 8091, 1070, 595, 17955, 32707, 9281, 293, 630, 13826, 5470, 1070, 623, 7419, 290, 308, 9569, 32707, 9281, 293, 630, 335, 9417, 6672, 5470, 1070, 595, 17955, 318, 13263, 318, 303, 7419, 290, 308, 9569, 32707, 9281, 293, 630, 18485, 2013, 543, 18685, 5470, 1070, 13241, 29758, 3008, 3633, 32707, 9281, 293, 630, 980, 2262, 5470, 1070, 667, 5456, 3951, 32707, 9281, 293, 630, 323, 13424, 5470, 1070, 21850, 6938, 310, 16704, 318, 303, 7419, 290, 32707, 9281, 293, 630, 842, 571, 30087, 18685, 5470, 1070, 543, 6167, 298, 301, 32052, 318, 31159, 14154, 32707, 9281, 293, 630, 534, 5470, 602, 1281, 711, 1351, 337, 22046, 547, 519, 3105, 6688, 13580, 780, 9131, 30750, 3299, 1412, 9110, 802, 3299, 1412, 3602, 3299, 1412, 933, 3299, 1412, 3847, 3299, 1412, 4752, 3299, 1412, 296, 3299, 1412, 13195, 3299, 1412, 339, 22736, 3299, 1412, 12671, 3299, 1412, 6011, 3299, 1412, 1729, 3299, 1412, 4818, 1393, 3299, 1412, 320, 3299, 1412, 22764, 8820, 3299, 1412, 29589, 3299, 1412, 28237, 3299, 1412, 24992, 3299, 1412, 18314, 3299, 1412, 27523, 3299, 1412, 309, 3299, 1412, 29589, 3299, 1412, 310, 3299, 834, 527, 781, 2580, 1412, 10472, 3299, 1412, 325, 22324, 3299, 1412, 2251, 3299, 1412, 3602, 3299, 1412, 9767, 3299, 1412, 31095, 3299, 1412, 320, 3299, 1412, 9795, 3299, 1412, 3369, 846, 3299, 1412, 16149, 3299, 1412, 26383, 3299, 1412, 13757, 3299, 1412, 1492, 3299, 1412, 1723, 24002, 3299, 1412, 1993, 3299, 1412, 309, 3299, 1412, 3369, 846, 3299, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 1215, 547, 1284, 1511, 513, 31336, 15907, 513, 5853, 8629, 692, 272, 269, 3194, 519, 5853, 8629, 281, 6969, 4358, 707, 22805, 1788, 267, 1491, 930, 942, 547, 1451, 827, 519, 1843, 596, 1336, 269, 14419, 1018, 1570, 621, 568, 1500, 540, 543, 952, 972, 616, 1022, 2027, 9270, 585, 2324, 609, 602, 1570, 269, 1280, 1383, 267, 952, 519, 1843, 568, 4496, 267, 596, 786, 991, 547, 6023, 621, 5402, 547, 2057, 11912, 269, 1403, 621, 781, 513, 4062, 540, 20341, 267, 621, 949, 581, 17866, 543, 2154, 9543, 7829, 269, 2422, 2228, 2200, 267, 2835, 267, 610, 4966, 538, 519, 2361, 547, 5531, 713, 1344, 780, 273, 269, 20283, 2659, 10049, 281, 4495, 596, 723, 4857, 519, 1826, 540, 1843, 596, 616, 2324, 609, 267, 2445, 519, 2556, 2326, 585, 22805, 1472, 621, 269, 13689, 593, 519, 2450, 543, 3337, 540, 519, 1843, 267, 596, 949, 991, 1114, 2010, 540, 556, 2644, 267, 986, 742, 807, 267, 20612, 267, 610, 824, 22805, 2326, 269, 5269, 2386, 547, 3442, 2326, 602, 9148, 519, 2681, 543, 9403, 540, 519, 1336, 1843, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 22952, 17897, 454, 268, 8262, 12267, 454, 268, 7377, 9177, 454, 268, 11473, 10632, 454, 1692, 547, 1133, 16225, 519, 25491, 540, 513, 8738, 1221, 8629, 454, 5970, 596, 2479, 16686, 2390, 606, 1843, 12617, 538, 519, 2666, 543, 9289, 1018, 621, 729, 286, 898, 666, 581, 3078, 547, 10625, 519, 9814, 540, 513, 12617, 1843, 267, 855, 621, 666, 849, 581, 16602, 269, 3371, 616, 930, 4388, 585, 26500, 519, 9814, 540, 513, 12617, 1843, 563, 10932, 519, 9351, 454, 763, 1101, 1900, 538, 26500, 519, 9814, 540, 513, 12617, 1843, 568, 547, 1382, 519, 1858, 1141, 596, 1336, 621, 269, 6733, 585, 1022, 10881, 602, 1522, 948, 596, 2697, 1018, 621, 568, 267, 971, 607, 3140, 5638, 610, 2199, 18691, 269, 1411, 666, 849, 1413, 585, 2147, 3615, 538, 7404, 2127, 610, 2911, 547, 1004, 945, 723, 1702, 827, 519, 1858, 269, 901, 666, 948, 596, 7522, 1524, 1018, 1826, 540, 1843, 621, 1522, 581, 543, 2285, 596, 811, 1344, 827, 922, 5169, 563, 27662, 543, 25826, 519, 8629, 454, 5629, 596, 723, 2944, 930, 1382, 267, 621, 779, 942, 547, 2973, 543, 4983, 519, 1843, 269, 2142, 2386, 547, 946, 13657, 950, 7829, 1022, 12617, 3615, 607, 789, 949, 581, 17866, 610, 2270, 13818, 544, 831, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 2171, 3058, 9828, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 645, 2532, 1115, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3528, 6970, 527, 4802, 674, 25717, 7719, 540, 519, 570, 573, 902, 454, 291, 7631, 1157, 589, 269, 667, 7578, 306, 8403, 267, 8783, 10196, 693, 519, 2983, 657, 4659, 538, 12891, 1633, 267, 3081, 811, 3744, 3858, 602, 4104, 30034, 538, 519, 1394, 12248, 787, 568, 13777, 850, 563, 4263, 513, 6881, 646, 5795, 11016, 1282, 513, 1623, 24007, 593, 3595, 267, 667, 7578, 306, 8403, 1767, 602, 2687, 547, 513, 476, 1001, 278, 1353, 267, 1447, 982, 476, 272, 260, 540, 2127, 602, 941, 6094, 2740, 1185, 513, 4104, 3595, 563, 3891, 1767, 30034, 3085, 1406, 960, 1134, 538, 3665, 3595, 4365, 267, 621, 666, 2333, 2842, 3432, 543, 10664, 267, 621, 3085, 1406, 2063, 3476, 982, 476, 1015, 547, 476, 1428, 1296, 1354, 621, 1590, 581, 2699, 821, 267, 543, 621, 666, 1118, 2244, 811, 12155, 547, 3595, 563, 291, 7578, 306, 8403, 267, 6340, 693, 519, 476, 1911, 628, 5993, 5870, 540, 519, 7414, 10406, 540, 519, 1977, 5948, 585, 519, 21992, 618, 540, 3163, 267, 1767, 972, 779, 1175, 1100, 1259, 547, 2995, 1141, 1769, 2287, 568, 2469, 547, 10880, 563, 28317, 2603, 540, 621, 568, 538, 1394, 12248, 787, 267, 538, 14869, 2127, 602, 596, 666, 1406, 1205, 547, 621, 19037, 2223, 667, 7578, 306, 8403, 1767, 269, 968, 1103, 1082, 2127, 596, 1810, 1406, 723, 1569, 267, 543, 972, 779, 1100, 1259, 596, 666, 1521, 2614, 540, 519, 5251, 547, 1118, 2614, 540, 513, 3017, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9046, 540, 519, 10432, 9046, 645, 543, 8827, 2913, 519, 10794, 10670, 2439, 1012, 9046, 692, 13640, 341, 5407, 543, 24883, 616, 1142, 12902, 513, 3044, 3670, 21758, 5884, 267, 609, 2338, 3230, 272, 2330, 547, 3230, 277, 2330, 593, 922, 5011, 267, 547, 1294, 945, 4991, 547, 979, 1101, 538, 741, 3014, 269, 634, 1268, 945, 20061, 519, 2539, 1297, 4991, 547, 979, 1101, 269, 1403, 789, 17063, 267, 789, 5066, 1586, 780, 272, 269, 1548, 568, 519, 7811, 5506, 602, 3474, 341, 5407, 786, 5066, 513, 1297, 2539, 982, 24883, 593, 741, 1101, 5066, 286, 670, 842, 281, 1548, 616, 519, 7399, 585, 24883, 5889, 23717, 5066, 952, 3474, 341, 5407, 20061, 513, 3230, 272, 2330, 286, 513, 3230, 273, 2330, 286, 513, 3230, 274, 2330, 2496, 273, 269, 1548, 568, 519, 7811, 5506, 602, 3474, 341, 5407, 786, 5066, 513, 1297, 3152, 982, 24883, 593, 741, 1101, 5066, 2496, 274, 269, 1772, 713, 513, 4023, 1259, 547, 3313, 945, 4422, 1101, 2496, 1012, 8827, 692, 763, 1739, 3349, 2982, 782, 519, 2009, 20061, 269, 1280, 1142, 7872, 267, 972, 568, 513, 570, 952, 3474, 341, 5407, 543, 24883, 5066, 519, 1482, 1297, 267, 513, 623, 952, 3474, 341, 5407, 20061, 513, 1297, 2539, 982, 24883, 267, 543, 513, 595, 952, 24883, 20061, 513, 1297, 2539, 982, 3474, 341, 5407, 780, 10111, 32221, 262, 24305, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 570, 623, 623, 623, 623, 623, 595, 570, 623, 623, 623, 623, 595, 595, 570, 623, 623, 623, 595, 595, 595, 570, 623, 623, 595, 595, 595, 595, 570, 623, 595, 595, 595, 595, 595, 570, 692, 763, 3349, 2982, 602, 519, 2698, 1297, 540, 2009, 20061, 568, 3230, 277, 24585, 476, 277, 815, 476, 3607, 29634, 272, 269, 1703, 616, 3230, 1428, 2330, 623, 338, 538, 519, 3349, 269, 1452, 2049, 950, 3474, 341, 5407, 20061, 513, 1297, 2539, 982, 24883, 269, 4935, 267, 519, 7811, 5506, 602, 3474, 341, 5407, 20061, 513, 1297, 2539, 982, 24883, 593, 741, 1101, 5066, 568, 6695, 2765, 346, 1428, 2410, 3607, 18098, 2765, 346, 276, 2410, 1321, 6525, 780, 273, 269, 1703, 616, 3230, 1428, 2330, 595, 338, 538, 519, 3349, 269, 1452, 2049, 950, 3474, 341, 5407, 20061, 513, 1297, 3152, 982, 24883, 269, 4935, 267, 519, 7811, 5506, 602, 3474, 341, 5407, 20061, 513, 1297, 3152, 982, 24883, 593, 741, 1101, 5066, 568, 6695, 2765, 346, 1428, 2410, 3607, 18098, 2765, 346, 276, 2410, 1321, 6525, 780, 274, 269, 3245, 630, 320, 264, 543, 630, 321, 1070, 649, 1294, 602, 519, 17831, 540, 1142, 1268, 12902, 519, 2539, 1297, 616, 519, 1482, 269, 4475, 267, 713, 568, 513, 4023, 1259, 547, 3313, 945, 4422, 1101, 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 ]
[ 0, 7170, 281, 2052, 10109, 529, 570, 3307, 999, 538, 519, 12745, 540, 6481, 631, 15097, 543, 25745, 8426, 3690, 8690, 566, 692, 13981, 20505, 1384, 265, 13760, 519, 1523, 540, 15267, 512, 3307, 999, 543, 741, 1747, 538, 2564, 17089, 946, 563, 265, 10812, 519, 14278, 1108, 540, 12800, 27546, 4143, 547, 512, 3307, 675, 7041, 543, 7245, 563, 265, 9181, 3106, 9270, 950, 1210, 15267, 512, 3307, 999, 267, 3226, 538, 6375, 665, 20234, 668, 2213, 2550, 899, 1346, 945, 10929, 6565, 1591, 24328, 563, 265, 25826, 519, 1909, 540, 512, 3307, 999, 538, 5466, 2589, 4810, 676, 6565, 1591, 13003, 23700, 971, 607, 1928, 267, 15353, 267, 543, 2530, 540, 14031, 780, 272, 269, 4985, 692, 290, 27767, 529, 2893, 10216, 700, 1421, 4122, 1634, 607, 17089, 267, 814, 6591, 2810, 3007, 538, 2487, 1296, 1813, 547, 922, 1761, 9354, 2640, 269, 2060, 811, 22875, 3656, 1944, 922, 16392, 543, 1256, 16351, 946, 267, 3782, 4648, 991, 547, 3251, 5483, 827, 1585, 12331, 540, 17089, 4616, 543, 741, 6286, 269, 7324, 891, 2409, 616, 15267, 512, 3307, 999, 267, 4568, 2861, 17089, 21555, 602, 2709, 513, 8673, 6954, 4244, 269, 901, 3184, 12538, 883, 519, 14960, 540, 15267, 512, 3307, 999, 543, 27786, 741, 10083, 1369, 519, 2796, 540, 2564, 17089, 543, 6565, 1591, 24328, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21357, 631, 15097, 543, 25745, 8426, 3690, 8690, 281, 1548, 1684, 1284, 5700, 888, 307, 11698, 267, 4989, 476, 736, 267, 476, 1708, 272, 454, 303, 6974, 518, 281, 9478, 32686, 14900, 14997, 291, 267, 645, 4596, 303, 267, 7460, 4916, 267, 24103, 8839, 28154, 267, 14822, 2657, 1299, 3163, 2160, 454, 303, 19948, 568, 476, 3451, 3764, 1279, 609, 476, 2641, 3764, 540, 1627, 1299, 589, 563, 23087, 281, 631, 15097, 568, 1031, 676, 1082, 6565, 1591, 13003, 23700, 547, 4383, 513, 3099, 540, 2427, 2360, 267, 855, 13657, 568, 15695, 269, 634, 1494, 1890, 543, 19454, 666, 4268, 267, 4470, 593, 519, 2707, 267, 543, 17089, 666, 1860, 519, 7145, 540, 930, 824, 6527, 519, 3461, 949, 581, 2921, 563, 268, 6481, 17089, 568, 1031, 585, 1928, 267, 15353, 267, 14031, 267, 17465, 267, 543, 4887, 838, 553, 916, 269, 5525, 540, 1928, 1852, 267, 2705, 267, 723, 711, 1044, 21016, 5477, 1813, 547, 27696, 7687, 563, 268, 22702, 547, 824, 16351, 5061, 267, 15267, 568, 2808, 513, 968, 7809, 3075, 892, 538, 2474, 540, 29723, 1275, 267, 12178, 267, 543, 13982, 4369, 269, 1809, 972, 2611, 4220, 799, 4268, 609, 519, 1505, 540, 6765, 269, 1280, 3236, 267, 5711, 21339, 3622, 10460, 1447, 1981, 982, 7296, 15267, 563, 268, 3690, 8690, 17328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 30094, 1137, 1315, 15850, 545, 1315, 4937, 1315, 570, 3307, 999, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14049, 568, 12926, 1031, 607, 513, 7574, 6293, 1282, 12644, 540, 519, 476, 8687, 273, 744, 3200, 675, 888, 12585, 281, 2052, 12061, 454, 2704, 328, 1162, 281, 2052, 12061, 2513, 339, 267, 26006, 1260, 5523, 630, 30516, 1070, 2052, 12061, 267, 589, 7878, 666, 12061, 267, 634, 2052, 12061, 267, 2052, 333, 976, 267, 26006, 1260, 5523, 630, 322, 27553, 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 ]
[ 0, 763, 942, 1974, 1063, 20422, 25430, 3646, 454, 288, 1808, 1714, 17863, 942, 585, 10977, 610, 1964, 1031, 1282, 7669, 2259, 563, 11742, 538, 1063, 9102, 13746, 563, 11742, 1974, 267, 2356, 6829, 538, 3764, 267, 1282, 799, 513, 3747, 3926, 7213, 12885, 1344, 1031, 547, 2285, 667, 4932, 13263, 737, 310, 11607, 1016, 568, 519, 11281, 12210, 3586, 543, 568, 519, 1871, 538, 26910, 3620, 2293, 585, 835, 4838, 540, 519, 11281, 12210, 267, 610, 267, 585, 5907, 7397, 267, 568, 519, 1871, 538, 26910, 3620, 2293, 540, 835, 13942, 9783, 676, 519, 11281, 585, 1449, 5301, 563, 1492, 942, 1063, 10596, 540, 519, 4414, 10060, 267, 2356, 827, 476, 1220, 570, 5281, 563, 704, 1675, 540, 942, 950, 3025, 26871, 1206, 547, 741, 2067, 3662, 1533, 267, 11319, 543, 795, 739, 1782, 547, 1205, 547, 519, 512, 893, 454, 320, 733, 27631, 12732, 540, 942, 593, 519, 3381, 11746, 454, 320, 13113, 1974, 602, 814, 513, 4358, 543, 10678, 942, 454, 320, 3296, 540, 6024, 11056, 630, 320, 20105, 538, 942, 264, 1369, 513, 1982, 454, 320, 1871, 3954, 7627, 519, 942, 12732, 1063, 1079, 7389, 267, 2053, 267, 610, 4626, 652, 10102, 454, 11742, 538, 1063, 9102, 2534, 5359, 4586, 2414, 14595, 1063, 16550, 519, 10605, 543, 16889, 267, 609, 519, 9837, 540, 9849, 856, 824, 26348, 563, 763, 1974, 540, 942, 267, 6027, 538, 1984, 1047, 6948, 267, 1063, 1022, 1079, 11280, 13487, 2621, 269, 769, 533, 5217, 267, 11996, 616, 811, 3730, 7403, 982, 2557, 267, 1317, 10605, 20447, 12557, 568, 1759, 593, 11996, 563, 2304, 8884, 568, 513, 2268, 540, 942, 630, 2190, 2173, 2222, 16149, 815, 476, 272, 8884, 264, 602, 568, 8947, 585, 6959, 269, 3955, 1998, 543, 12939, 2418, 630, 5408, 12939, 264, 960, 1927, 563, 7093, 16227, 5697, 5712, 540, 942, 540, 799, 972, 568, 513, 2312, 4098, 543, 1439, 563, 3674, 519, 3328, 942, 1063, 20422, 12740, 1286, 2855, 11040, 693, 519, 1292, 6989, 609, 6517, 16041, 547, 1022, 1377, 454, 288, 1974, 540, 942, 799, 4386, 1063, 2621, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9928, 2714, 880, 12833, 5297, 15661, 19541, 563, 2080, 596, 3513, 1265, 14245, 267, 2238, 267, 3211, 267, 17118, 267, 13492, 267, 13410, 543, 3756, 267, 782, 873, 539, 1472, 12362, 9813, 2249, 543, 519, 5757, 1604, 799, 666, 782, 581, 22434, 543, 3838, 269, 1703, 568, 606, 2606, 6881, 547, 1376, 596, 1055, 543, 782, 2238, 723, 4967, 543, 2626, 9212, 547, 948, 596, 2059, 1107, 865, 596, 1810, 1406, 991, 1022, 1991, 1702, 547, 946, 543, 2972, 873, 269, 634, 2238, 666, 581, 2944, 538, 2516, 552, 3052, 269, 513, 1153, 1362, 855, 1082, 666, 581, 6192, 14350, 693, 1753, 610, 538, 519, 13964, 454, 26877, 514, 3930, 268, 5715, 10005, 5441, 7256, 16827, 5358, 563, 2414, 5965, 1053, 547, 581, 3743, 3375, 24237, 543, 2104, 3401, 267, 594, 3041, 294, 814, 2919, 2069, 3292, 602, 4497, 1053, 538, 23913, 2853, 547, 3895, 513, 4264, 2486, 563, 1103, 15230, 15661, 7027, 540, 3703, 12052, 563, 2467, 616, 1082, 1390, 2200, 2139, 585, 7855, 543, 6107, 547, 1451, 827, 12362, 2249, 538, 3703, 12052, 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 ]
[ 0, 8893, 476, 1240, 267, 7726, 476, 276, 454, 1103, 18776, 692, 258, 4518, 539, 7151, 476, 276, 692, 8893, 18776, 454, 271, 260, 13159, 692, 1103, 513, 23481, 5506, 3892, 972, 616, 3230, 333, 2330, 8062, 543, 519, 5506, 540, 1967, 585, 1142, 4693, 568, 3230, 335, 21974, 1403, 519, 1611, 568, 3230, 279, 2330, 543, 519, 13065, 568, 3230, 275, 269, 279, 18079, 1265, 519, 1871, 540, 3230, 333, 2330, 543, 3230, 335, 21974, 9324, 7627, 6695, 3667, 346, 303, 4153, 3847, 263, 2473, 284, 337, 1422, 2431, 14638, 676, 3230, 13997, 335, 13925, 337, 3686, 18079, 1397, 602, 6695, 2765, 13997, 346, 335, 13925, 337, 266, 272, 3686, 2410, 13997, 335, 13925, 337, 3686, 18098, 2765, 346, 273, 13375, 263, 476, 736, 8573, 1422, 2431, 20972, 274, 13375, 263, 678, 266, 272, 1422, 2431, 264, 6525, 267, 1141, 3230, 337, 284, 271, 267, 272, 267, 273, 267, 274, 267, 2507, 907, 267, 1240, 267, 866, 29634, 17798, 1265, 519, 7154, 540, 3230, 311, 21974 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27951, 654, 6652, 572, 630, 10267, 559, 19434, 3768, 592, 9850, 264, 568, 513, 2249, 540, 6161, 10362, 538, 519, 2249, 1895, 834, 325, 8460, 257, 543, 1336, 538, 519, 1739, 1858, 4433, 2567, 4000, 267, 5607, 267, 5245, 267, 5664, 5101, 267, 7909, 545, 267, 2136, 2276, 19724, 4934, 2391, 11866, 630, 310, 820, 1772, 12175, 901, 2249, 568, 849, 1634, 676, 519, 1739, 2012, 4433, 2567, 670, 2794, 3650, 267, 670, 2794, 3650, 654, 6652, 572, 267, 8575, 9461, 654, 6652, 572, 267, 19167, 654, 6652, 572, 267, 22427, 1188, 654, 6652, 572, 267, 25613, 3634, 654, 6652, 572, 563, 15648, 18564, 281, 901, 2376, 568, 13931, 896, 519, 717, 26214, 5131, 11657, 566, 17821, 269, 898, 3096, 1570, 689, 519, 9504, 2376, 834, 295, 2794, 3650, 530, 6652, 572, 8487, 307, 523, 7068, 602, 949, 1831, 17255, 538, 519, 1985, 476, 1015, 1296, 272, 269, 2274, 1430, 3724, 7256, 25725, 454, 8867, 1430, 3724, 4262, 16015, 723, 1044, 1472, 2094, 840, 3620, 626, 7595, 2053, 269, 1656, 19890, 267, 952, 519, 2249, 568, 4847, 547, 642, 4314, 267, 3744, 3494, 621, 786, 22509, 17495, 578, 519, 14486, 540, 513, 3984, 540, 824, 7286, 2249, 269, 898, 568, 6059, 602, 972, 616, 1447, 982, 476, 276, 267, 1822, 21224, 4775, 16463, 3724, 4262, 16015, 538, 519, 7414, 7909, 2221, 267, 1524, 689, 476, 11011, 267, 1822, 538, 476, 2735, 271, 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 ]
[ 0, 307, 839, 540, 5215, 540, 16835, 723, 5747, 2059, 519, 29036, 2829, 267, 15151, 689, 834, 19009, 9224, 6794, 2437, 20872, 13753, 689, 1533, 543, 5313, 8128, 269, 634, 1034, 1455, 8984, 538, 519, 4666, 16835, 568, 834, 320, 3043, 17343, 1958, 597, 743, 532, 519, 562, 4680, 540, 930, 267, 855, 711, 782, 267, 540, 519, 16835, 2437, 2687, 547, 519, 12924, 4972, 540, 7025, 11094, 269, 634, 12924, 667, 4488, 8591, 267, 834, 2005, 568, 711, 2312, 875, 713, 17343, 4805, 666, 2014, 16835, 547, 5884, 267, 2705, 267, 12936, 16835, 632, 10968, 741, 3170, 14425, 3275, 1354, 741, 3339, 5614, 5503, 11944, 689, 30489, 566, 267, 543, 5182, 557, 547, 2669, 607, 513, 1267, 1701, 645, 1846, 616, 1271, 1317, 789, 2648, 4189, 7786, 9789, 772, 2529, 269, 12551, 543, 13812, 7896, 3081, 267, 834, 3080, 10627, 666, 3548, 1063, 476, 7785, 543, 476, 272, 267, 1822, 19498, 543, 824, 5521, 10860, 538, 1175, 835, 5662, 1701, 3767, 519, 5855, 568, 602, 519, 2068, 786, 1847, 689, 519, 29036, 547, 519, 11782, 781, 4102, 10627, 10125, 538, 519, 3162, 543, 25763, 267, 609, 14486, 513, 3982, 7872, 269, 634, 10060, 6441, 539, 3455, 5359, 602, 519, 27359, 1533, 10406, 540, 12551, 543, 13812, 1152, 18886, 476, 16020, 16835, 693, 9412, 12537, 24104, 1222, 30489, 908, 4087, 282, 513, 18186, 6048, 1767, 267, 834, 2171, 7363, 1265, 1063, 476, 2918, 267, 1822, 543, 476, 3066, 267, 1822, 16835, 538, 938, 12523, 972, 693, 519, 1482, 942, 1142, 1032, 4799, 257, 19669, 715, 846, 15540, 257, 918, 3739, 9351, 645, 1846, 454, 13146, 538, 5240, 454, 8722, 25733, 538, 5240, 454, 2252, 3803, 1242, 267, 519, 7851, 1223, 1291, 547, 1164, 3491, 12803, 2215, 2456, 1851, 25982, 1876, 16234, 563, 5649, 2859, 769, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 19255, 4771, 20045, 630, 476, 271, 3688, 12467, 14399, 781, 9085, 8794, 1200, 7015, 781, 10822, 22811, 338, 267, 22221, 4458, 6040, 18171, 601, 18722, 814, 1044, 5329, 513, 1413, 719, 585, 10546, 14742, 2282, 1200, 32431, 5211, 9503, 267, 14822, 267, 1753, 2479, 2094, 519, 5545, 10514, 539, 23421, 23320, 593, 1200, 27630, 14512, 269, 28527, 1394, 689, 835, 540, 1200, 1085, 719, 532, 856, 902, 267, 1352, 9060, 513, 1507, 14816, 540, 1957, 609, 5545, 3197, 2854, 593, 621, 1166, 6260, 538, 519, 2842, 269, 2701, 13290, 547, 14377, 519, 5048, 267, 4250, 532, 519, 1913, 616, 513, 5048, 547, 519, 5545, 17169, 269, 2701, 2306, 856, 1079, 1913, 834, 15948, 257, 543, 834, 29728, 257, 855, 1256, 1346, 949, 711, 581, 1318, 267, 865, 1352, 17799, 2921, 519, 1344, 547, 519, 7128, 6728, 269, 2290, 1554, 1352, 30650, 2576, 14299, 4771, 11453, 693, 1200, 7023, 781, 2777, 543, 2501, 3068, 547, 3068, 609, 1018, 5654, 899, 513, 5545, 7911, 269, 4173, 7023, 267, 6004, 269, 700, 753, 7288, 267, 6941, 602, 590, 690, 334, 10202, 568, 606, 1977, 269, 2107, 23782, 539, 267, 646, 729, 6456, 676, 519, 700, 13089, 529, 950, 519, 824, 5545, 4892, 941, 17031, 909, 543, 2366, 547, 2028, 618, 13122, 269, 18171, 601, 22617, 956, 609, 5329, 590, 690, 334, 10202, 781, 5728, 267, 711, 6616, 585, 2386, 2436, 646, 568, 519, 10546, 269, 634, 1079, 1020, 513, 11505, 602, 568, 7318, 950, 18171, 601, 543, 1200, 7015, 267, 7671, 267, 1265, 2963, 540, 513, 17891, 4323, 593, 2475, 3037, 269, 1879, 590, 690, 334, 10202, 568, 4362, 676, 8128, 543, 2366, 547, 606, 2028, 618, 3786, 267, 18171, 601, 16976, 1018, 621, 1797, 547, 1796, 909, 585, 707, 4978, 269, 901, 1134, 2275, 2761, 539, 3209, 8214, 956, 5396, 607, 2352, 2221, 607, 789, 941, 1282, 2622, 2782, 4083, 1765, 331, 5819, 1399, 267, 32742, 267, 543, 519, 2495, 540, 11505, 269, 476, 1220, 276, 267, 21238, 589, 269, 12928, 641, 325, 7734, 585, 8479, 22419, 24250, 24655, 5600, 267, 12698, 476, 1015, 547, 476, 1691, 563, 1765, 11749, 24809, 744, 269, 4793, 1562, 517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 291, 2884, 2042, 692, 6637, 476, 1321, 4147, 476, 1321, 12430, 14691, 454, 3519, 1061, 8797, 692, 2162, 3690, 5296, 692, 300, 4593, 476, 279, 589, 4829, 1332, 518, 666, 946, 1079, 2010, 540, 13226, 538, 1010, 4677, 267, 6216, 623, 543, 6216, 1627, 7868, 5666, 630, 514, 4846, 264, 540, 9436, 267, 8485, 7595, 3679, 267, 1494, 1662, 267, 543, 20841, 538, 513, 9126, 540, 1142, 6216, 616, 2016, 538, 519, 3349, 269, 18873, 5815, 602, 519, 4677, 2115, 693, 2547, 476, 13301, 4846, 540, 8485, 7595, 3679, 267, 693, 2547, 476, 17734, 4846, 540, 1494, 1662, 543, 693, 1034, 476, 20542, 4846, 540, 20841, 269, 1403, 519, 1332, 518, 6499, 547, 6922, 1047, 519, 2179, 540, 9436, 3773, 547, 519, 4677, 267, 875, 1082, 11435, 540, 1142, 6216, 1058, 581, 1031, 286, 1548, 568, 519, 5934, 2179, 540, 9436, 3773, 538, 519, 4677, 286, 2913, 11435, 540, 6216, 623, 2877, 581, 1535, 11435, 540, 6216, 1627, 2877, 581, 586, 1912, 6664, 7595, 18729, 15952, 623, 9890, 476, 272, 4846, 15952, 1627, 9890, 476, 273, 4846, 589, 18859, 618, 9890, 693, 2547, 476, 13301, 4846, 3980, 368, 1535, 1341, 476, 273, 344, 21759, 476, 13301, 8000, 1662, 15952, 623, 9890, 476, 274, 4846, 15952, 1627, 9890, 476, 272, 269, 276, 4846, 18859, 618, 9890, 693, 2547, 476, 17734, 4846, 3980, 368, 476, 274, 343, 1341, 476, 272, 269, 276, 344, 21759, 476, 17734, 25914, 710, 15952, 623, 9890, 476, 274, 4846, 15952, 1627, 9890, 476, 272, 269, 276, 4846, 18859, 618, 9890, 693, 2865, 476, 13301, 4846, 3980, 368, 476, 272, 269, 276, 343, 1341, 476, 273, 344, 18016, 476, 20542, 1306, 267, 649, 991, 547, 7413, 519, 2179, 540, 9436, 267, 9747, 519, 1599, 1031, 568, 7413, 1990, 15952, 623, 3568, 9890, 476, 274, 4846, 15952, 1627, 3568, 9890, 476, 274, 269, 276, 4846, 3980, 368, 2098, 815, 476, 274, 343, 1341, 476, 274, 269, 276, 344, 26157, 782, 10148, 3687, 4476, 2098, 815, 476, 274, 343, 1341, 476, 272, 269, 276, 586, 13595, 547, 10148, 1535, 1341, 476, 273, 344, 21759, 476, 13301, 476, 274, 343, 1341, 476, 272, 269, 276, 344, 21759, 476, 17734, 476, 272, 269, 276, 343, 1341, 476, 273, 344, 18016, 476, 20542, 1535, 21759, 476, 271, 2073, 586, 21759, 476, 271, 9747, 267, 519, 9436, 786, 581, 5934, 952, 519, 7848, 3568, 3143, 269, 540, 11435, 540, 15952, 623, 815, 476, 2412, 3143, 269, 540, 11435, 540, 15952, 1627, 815, 476, 1911, 29358, 2179, 540, 21193, 4088, 815, 476, 30420, 4846 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9303, 7595, 9823, 3529, 8009, 569, 2759, 1524, 676, 5244, 4419, 545, 564, 4711, 281, 6115, 667, 5861, 1421, 2817, 5244, 6796, 267, 4054, 267, 6115, 5403, 454, 1862, 763, 2817, 5244, 6796, 1767, 519, 28079, 2443, 513, 700, 1054, 1014, 2754, 1572, 13983, 550, 872, 2443, 729, 9277, 547, 2759, 1524, 513, 4666, 11849, 3529, 593, 519, 824, 2427, 540, 519, 6288, 269, 1703, 729, 4986, 4636, 609, 519, 575, 1074, 2998, 19601, 2005, 729, 18189, 1242, 538, 476, 1220, 277, 607, 851, 540, 519, 5244, 6796, 779, 654, 5893, 10326, 10466, 5358, 267, 606, 4674, 547, 5000, 519, 1857, 547, 9305, 547, 519, 1686, 540, 519, 2749, 998, 922, 4054, 269, 16024, 1014, 22189, 1773, 529, 6390, 5206, 602, 519, 575, 1074, 2998, 729, 4440, 12630, 538, 476, 6942, 274, 267, 4352, 621, 949, 723, 1044, 972, 4505, 543, 1044, 11368, 883, 519, 1374, 540, 519, 4009, 267, 799, 26549, 23670, 269, 6424, 29161, 10787, 4048, 583, 267, 519, 17189, 5869, 1655, 1634, 585, 6031, 281, 968, 291, 600, 333, 519, 8731, 6244, 3996, 256, 9509, 3432, 6619, 28461, 763, 3529, 729, 476, 9083, 3952, 7381, 267, 609, 513, 13862, 3262, 540, 476, 8064, 3952, 543, 17657, 18592, 540, 476, 16318, 6279, 269, 2334, 1500, 621, 519, 4102, 575, 1074, 2998, 538, 6115, 269, 2561, 30068, 621, 729, 513, 5256, 267, 865, 621, 4769, 1406, 723, 602, 588, 1074, 344, 4829, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 4436, 16024, 1014, 281, 6762, 16380, 5345, 1228, 12525, 525, 4595, 476, 8146, 271, 454, 268, 5177, 3450, 834, 514, 1203, 539, 257, 1686, 607, 9167, 18259, 267, 3081, 11062, 7548, 454, 268, 634, 1847, 5787, 919, 547, 1397, 602, 3109, 1004, 723, 513, 1686, 454, 268, 18238, 674, 517, 518, 3081, 646, 29739, 593, 1010, 17834, 8016, 593, 519, 6406, 2782, 1373, 1863, 454, 268, 31130, 5576, 516, 14982, 19758, 968, 13233, 1520, 31019, 12532, 719, 4303, 892, 607, 513, 13085, 8671, 545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9502, 540, 9577, 692, 288, 1599, 568, 513, 2027, 2078, 630, 14585, 22046, 775, 264, 1063, 1079, 5036, 971, 602, 585, 1142, 3693, 1535, 538, 922, 6389, 972, 568, 8655, 835, 543, 1152, 835, 3693, 586, 538, 922, 2039, 780, 30860, 602, 519, 19359, 814, 1079, 2694, 912, 272, 269, 1280, 1142, 1535, 972, 568, 8655, 835, 586, 269, 630, 1607, 568, 519, 8723, 851, 540, 519, 4214, 8094, 273, 269, 1280, 1142, 1535, 972, 568, 8655, 1152, 835, 586, 269, 630, 1607, 568, 519, 2027, 851, 540, 519, 4214, 8094, 763, 2034, 851, 540, 519, 4214, 540, 513, 1599, 5932, 519, 22464, 540, 519, 7084, 281, 1703, 3112, 581, 8655, 1079, 2418, 540, 586, 547, 835, 1535, 269, 769, 6128, 267, 22464, 568, 1360, 1271, 269, 1284, 917, 602, 476, 273, 1341, 476, 273, 815, 476, 275, 267, 855, 621, 1131, 581, 14845, 952, 476, 273, 1341, 476, 273, 1223, 849, 3160, 1945, 3116, 267, 2161, 476, 276, 269, 769, 713, 2013, 267, 649, 1223, 2760, 581, 2386, 602, 519, 2626, 547, 513, 2243, 729, 519, 1318, 2626, 780, 763, 19359, 1063, 1535, 543, 586, 568, 2356, 6829, 609, 519, 1599, 10035, 281, 586, 815, 535, 3287, 1070, 1141, 586, 568, 1572, 519, 8200, 4756, 543, 1535, 568, 1572, 519, 4830, 4756, 269, 769, 824, 1913, 267, 519, 1871, 540, 586, 5673, 593, 519, 1871, 540, 1535, 726, 28289, 883, 519, 1599, 780, 2690, 1383, 267, 519, 4009, 3597, 1599, 666, 581, 2854, 607, 16317, 2414, 5173, 519, 19359, 585, 1535, 815, 476, 275, 267, 649, 1205, 1547, 2334, 568, 267, 519, 4009, 3597, 1599, 3651, 338, 519, 2189, 586, 1871, 540, 476, 273, 547, 519, 1535, 1871, 540, 476, 275, 269, 4107, 7215, 666, 581, 5828, 883, 3252, 780, 2690, 1383, 267, 519, 4082, 476, 1109, 2041, 3699, 519, 1599 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12626, 630, 17413, 476, 275, 264, 910, 4303, 476, 1724, 267, 476, 1691, 1299, 476, 1428, 454, 2005, 781, 707, 3803, 4305, 540, 519, 15182, 1656, 634, 9255, 9737, 960, 269, 6004, 16819, 12909, 596, 998, 713, 3803, 6810, 267, 23933, 856, 930, 6788, 543, 12772, 513, 1906, 23456, 585, 707, 3803, 2328, 563, 21652, 8586, 910, 10432, 476, 274, 454, 5970, 513, 979, 693, 11836, 891, 5022, 1927, 1210, 713, 15452, 5022, 3381, 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 ]
[ 0, 30267, 3796, 540, 519, 1216, 6241, 538, 3140, 2796, 454, 2171, 5359, 11632, 291, 4632, 538, 13796, 2796, 1210, 922, 3140, 1239, 2594, 630, 1960, 280, 547, 1459, 1040, 1284, 946, 891, 13602, 547, 1627, 290, 454, 712, 1239, 538, 13796, 2796, 543, 875, 4632, 454, 663, 7299, 5860, 2497, 9305, 547, 835, 1776, 563, 2791, 666, 3113, 1227, 2263, 1699, 12632, 543, 8978, 2175, 540, 1142, 540, 938, 11632, 291, 4632, 454, 514, 519, 1739, 3296, 269, 3962, 7824, 3758, 3568, 1896, 3817, 563, 268, 8525, 476, 272, 543, 476, 273, 9305, 4632, 547, 3140, 7403, 540, 519, 454, 268, 8525, 476, 274, 543, 476, 275, 1397, 875, 4632, 9305, 547, 835, 1776, 563, 19547, 9229, 1344, 593, 938, 10473, 666, 581, 1336, 1934, 563, 1692, 547, 1224, 938, 12449, 912, 288, 3039, 4282, 6257, 519, 2039, 883, 799, 476, 2004, 260, 540, 938, 3140, 6592, 1239, 2887, 269, 27578, 2982, 519, 476, 4200, 260, 1239, 23508, 602, 649, 7447, 689, 519, 954, 32483, 850, 2039, 16611, 676, 476, 272, 269, 276, 269, 26629, 806, 540, 519, 1239, 1899, 9991, 1369, 519, 476, 2004, 260, 23508, 616, 11954, 3109, 267, 1239, 9991, 3544, 519, 476, 2004, 260, 23508, 616, 11954, 2699, 269, 1715, 970, 516, 2742, 616, 15091, 609, 513, 2699, 12297, 269, 1403, 649, 3732, 513, 3178, 4514, 982, 5892, 25541, 649, 2285, 519, 1239, 1899, 519, 2681, 4544, 269, 645, 1513, 630, 323, 1046, 4544, 264, 593, 519, 1318, 5815, 519, 1297, 540, 7422, 630, 324, 3052, 269, 715, 284, 273, 1040, 1677, 9414, 952, 519, 3003, 1216, 6241, 3296, 630, 283, 1015, 332, 267, 476, 1015, 268, 1789, 332, 267, 3436, 1789, 332, 264, 568, 593, 3328, 513, 968, 7538, 892, 610, 968, 534, 10095, 748, 892, 2783, 267, 649, 3769, 513, 2681, 27573, 7299, 1899, 269, 4414, 6920, 593, 3328, 18811, 748, 2175, 282, 3039, 6920, 593, 3328, 3339, 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 ]
[ 0, 3848, 476, 1724, 281, 19484, 25016, 9435, 23369, 543, 623, 718, 14306, 5516, 692, 1724, 269, 272, 4985, 692, 299, 2426, 2860, 568, 513, 23773, 1072, 4161, 602, 5540, 6634, 540, 2043, 5001, 269, 4340, 547, 519, 1977, 9435, 5980, 267, 621, 6589, 585, 827, 476, 1724, 260, 540, 782, 1007, 11871, 8995, 538, 519, 2136, 2276, 267, 1818, 621, 519, 2034, 1034, 1455, 1826, 540, 2860, 269, 6736, 922, 9860, 267, 7760, 538, 4915, 3136, 547, 2709, 9621, 7835, 267, 971, 607, 3209, 5574, 543, 4824, 10368, 2553, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 10848, 540, 5761, 2860, 5868, 267, 23080, 14306, 1416, 267, 543, 2404, 1072, 1416, 2152, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2171, 4126, 713, 27412, 786, 948, 5965, 596, 585, 1018, 6013, 6619, 538, 707, 3460, 609, 5761, 2860, 563, 763, 1101, 3364, 547, 917, 568, 972, 568, 2601, 585, 4126, 269, 13518, 3356, 568, 1373, 1500, 585, 1004, 609, 5761, 2860, 267, 609, 1007, 5574, 1373, 2919, 543, 7318, 1169, 1554, 563, 8170, 1576, 267, 596, 949, 1995, 1082, 2178, 4664, 269, 901, 568, 851, 540, 519, 1184, 540, 7231, 609, 707, 5868, 269, 1809, 513, 1883, 851, 540, 2713, 609, 5761, 2860, 568, 1565, 519, 5013, 269, 901, 27412, 786, 2285, 596, 606, 7650, 540, 707, 2068, 543, 2126, 3681, 269, 1284, 5000, 596, 547, 1665, 2127, 1141, 596, 723, 1808, 2055, 543, 1865, 873, 609, 707, 4387, 563, 293, 18853, 5084, 14888, 3582, 3201, 5442, 19489, 7246, 3582, 693, 454, 1607, 27412, 568, 711, 513, 12990, 585, 519, 2564, 5796, 454, 25075, 3660, 676, 707, 2126, 2319, 563, 20062, 2969, 11298, 2464, 31253, 700, 7419, 294, 27114, 290, 2207, 667, 8656, 294, 301, 5308, 3041, 19294, 3198, 11123, 19294, 888, 5475, 1373, 5143, 596, 723, 5761, 2860, 267, 596, 949, 4898, 1018, 707, 23567, 630, 1492, 2693, 6364, 610, 1576, 540, 707, 2068, 264, 786, 581, 1107, 1018, 713, 1797, 585, 707, 2104, 543, 707, 1072, 269, 1411, 949, 1294, 9193, 540, 875, 10693, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 2657, 5516, 12983, 1315, 623, 718, 14306, 5516, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4407, 649, 941, 782, 11112, 8384, 519, 3131, 14651, 30024, 2212, 1055, 593, 922, 3460, 547, 9370, 267, 8331, 779, 20503, 3732, 5692, 814, 1044, 575, 8960, 909, 585, 922, 2462, 4090, 269, 634, 17959, 267, 15190, 1537, 28604, 267, 12754, 22384, 267, 8232, 267, 3204, 14663, 25817, 630, 5308, 7644, 3041, 7304, 2750, 585, 2110, 264, 814, 6192, 922, 3803, 1449, 1935, 540, 519, 2627, 269, 634, 1985, 942, 621, 1784, 1742, 267, 13013, 7644, 3041, 7304, 2750, 786, 1085, 17274, 909, 4773, 540, 519, 20503, 26999, 340, 585, 2132, 547, 3047, 563, 22498, 9250, 13013, 7644, 3041, 7304, 2750, 538, 476, 1001, 277, 267, 11488, 621, 1055, 547, 18448, 476, 6200, 280, 4649, 26999, 340, 267, 513, 3327, 17675, 20503, 827, 476, 272, 267, 29637, 3952, 630, 275, 3445, 7397, 264, 538, 8006, 269, 26999, 340, 1281, 1205, 1360, 2673, 547, 3047, 693, 2798, 538, 922, 10739, 2443, 972, 779, 1256, 513, 1507, 4960, 602, 621, 1223, 1764, 519, 3047, 538, 519, 1985, 1906, 5553, 269, 17497, 267, 621, 779, 9108, 856, 540, 519, 1259, 827, 476, 273, 22847, 11397, 630, 534, 22847, 568, 519, 3845, 1063, 3047, 543, 519, 3141, 1916, 5308, 7644, 3041, 7304, 2750, 14906, 14162, 31773, 539, 609, 26999, 340, 538, 476, 1001, 279, 267, 543, 519, 2319, 1305, 547, 960, 4466, 513, 13941, 7997, 269, 8331, 11402, 519, 1482, 3390, 607, 519, 5545, 15917, 16086, 320, 273, 2319, 2443, 26999, 340, 729, 1454, 811, 6159, 1375, 344, 982, 4397, 269, 1677, 2445, 513, 3732, 267, 13013, 7644, 3041, 7304, 2750, 814, 547, 1118, 3346, 609, 519, 2627, 267, 543, 602, 779, 5906, 609, 19514, 7252, 543, 22586, 17110, 1878, 10876, 269, 16828, 267, 8331, 5697, 1896, 1761, 4609, 267, 20803, 873, 1310, 5017, 269, 634, 13957, 532, 1446, 3135, 267, 799, 568, 538, 513, 28188, 2282, 519, 20503, 779, 5087, 15393, 267, 7173, 9229, 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 ]
[ 0, 9223, 692, 258, 1403, 16564, 272, 543, 16564, 273, 581, 519, 7285, 799, 519, 3515, 630, 343, 273, 20742, 273, 7565, 6523, 273, 1109, 15184, 1109, 7562, 273, 1109, 10382, 266, 7562, 273, 15184, 6661, 263, 343, 1109, 11927, 1109, 10382, 6629, 344, 1109, 7562, 1109, 15184, 264, 273, 1118, 609, 519, 7852, 540, 1535, 267, 1287, 952, 16564, 284, 11027, 277, 267, 1109, 11927, 1109, 15184, 272, 266, 11927, 1109, 15184, 273, 568, 3160, 547, 263, 6629, 10695, 264, 322, 846, 322, 1109, 273, 10382, 263, 6629, 10695, 264, 7562, 273, 1109, 10382, 6629, 279, 18414, 274, 1109, 322, 846, 322, 1109, 273, 10382, 6629, 275, 1109, 322, 846, 322, 1109, 273, 10382, 692, 11405, 692, 1012, 634, 2953, 4781, 568, 589, 630, 6629, 10695, 264, 322, 846, 322, 1109, 273, 10382, 763, 2016, 3830, 666, 581, 2854, 607, 630, 343, 273, 20742, 273, 7565, 6523, 273, 1109, 15184, 1109, 7562, 273, 1109, 10382, 266, 7562, 273, 1109, 15184, 6661, 343, 273, 1109, 11927, 273, 1109, 10382, 6629, 273, 15383, 1109, 11927, 1109, 10382, 1109, 7562, 1109, 15184, 20742, 273, 1109, 7562, 273, 1109, 15184, 610, 630, 6523, 273, 1109, 15184, 1109, 7562, 273, 1109, 10382, 266, 7562, 273, 1109, 15184, 6629, 11927, 273, 1109, 10382, 32589, 273, 266, 273, 6025, 534, 1109, 10382, 1109, 7562, 1109, 15184, 264, 15383, 266, 6523, 273, 1109, 15184, 1109, 7562, 273, 1109, 10382, 344, 273, 284, 271, 4595, 519, 9386, 540, 891, 3515, 616, 2016, 607, 16009, 15184, 272, 543, 16009, 1109, 15184, 273, 269, 543, 2040, 540, 519, 19527, 815, 6629, 273, 1109, 11927, 1109, 10382, 1109, 7562, 1109, 15184, 6523, 273, 1109, 15184, 1109, 7562, 273, 1109, 10382, 2340, 18568, 1741, 1109, 11927, 1109, 15184, 272, 266, 11927, 1109, 15184, 273, 284, 6629, 273, 1109, 11927, 1109, 10382, 273, 9943, 263, 4097, 264, 9943, 7562, 273, 1109, 10382, 1741, 1109, 263, 4501, 369, 1109, 1109, 15184, 284, 11027, 277, 6661, 6629, 263, 10695, 264, 322, 846, 322, 1109, 273, 10382, 692, 22296, 2248, 28303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4289, 630, 821, 829, 5037, 264, 1018, 596, 2015, 547, 581, 519, 1614, 1034, 2565, 3334, 540, 519, 3540, 2924, 3350, 538, 519, 2136, 2276, 269, 1411, 949, 3442, 689, 10966, 7040, 5463, 2888, 267, 3906, 267, 2621, 267, 9086, 267, 3401, 267, 610, 2686, 9259, 269, 11512, 1946, 596, 723, 6074, 891, 1880, 2609, 563, 2304, 1557, 540, 713, 1826, 786, 3335, 581, 827, 476, 272, 1107, 476, 273, 5595, 22274, 3817, 538, 3259, 563, 17098, 972, 256, 8437, 835, 540, 938, 13222, 2630, 543, 649, 786, 1205, 1394, 547, 596, 607, 4166, 607, 2009, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 1897, 2023, 4804, 7991, 281, 623, 2720, 5224, 28742, 2290, 4132, 693, 513, 5384, 454, 1607, 3923, 693, 2506, 332, 976, 3427, 267, 649, 616, 2324, 593, 519, 1915, 16023, 540, 9877, 1145, 269, 9877, 1145, 568, 3257, 2318, 6411, 585, 1866, 543, 6340, 547, 3025, 649, 2097, 538, 3346, 609, 31635, 269, 9877, 1145, 568, 849, 835, 540, 938, 476, 276, 4295, 2418, 269, 3962, 3923, 267, 938, 1053, 723, 835, 1915, 2069, 16023, 602, 789, 616, 9277, 547, 960, 593, 269, 7831, 3923, 267, 649, 5249, 593, 6796, 269, 12989, 616, 930, 5363, 23456, 593, 1018, 596, 666, 4001, 707, 1126, 693, 1753, 827, 9877, 1145, 269, 769, 1840, 267, 713, 3923, 649, 11760, 15932, 20450, 540, 9877, 1145, 10432, 593, 5988, 476, 1428, 6363, 20623, 5324, 476, 866, 269, 1703, 786, 581, 513, 1153, 6891, 3018, 609, 2027, 10571, 2395, 543, 5691, 2238, 607, 4330, 2630, 269, 3962, 1554, 786, 849, 4183, 606, 957, 540, 11587, 547, 798, 602, 1554, 2336, 1103, 8956, 540, 4563, 3778, 13600, 1282, 519, 3923, 540, 5988, 267, 2506, 332, 976, 1053, 786, 723, 519, 4316, 547, 7119, 538, 513, 16968, 16311, 547, 8661, 4563, 3778, 13600, 256, 8073, 513, 16968, 18071, 519, 18517, 540, 513, 4583, 3109, 1977, 610, 513, 16968, 602, 14550, 519, 4295, 2418, 540, 11587, 543, 2463, 676, 14344, 7862, 543, 2463, 585, 1142, 824, 779, 3604, 269, 5565, 1053, 829, 3446, 786, 581, 5697, 607, 519, 23602, 269, 3962, 16771, 786, 581, 2016, 606, 8366, 269, 12736, 940, 19297, 786, 581, 10268, 1472, 519, 1153, 607, 1134, 607, 5961, 540, 519, 19297, 786, 581, 11540, 593, 519, 1153, 1684, 14765, 2985, 269, 2142, 3860, 543, 723, 1187, 256, 634, 2680, 568, 23032, 676, 519, 2818, 540, 519, 623, 1897, 2023, 24104, 1222, 4065, 5948, 563, 292, 7825, 976, 3427, 786, 581, 14120, 15932, 20450, 540, 9877, 1145, 10432, 630, 21938, 476, 1428, 268, 866, 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 ]
[ 0, 3848, 281, 24531, 519, 12815, 910, 3163, 543, 5303, 538, 3778, 692, 8893, 281, 1133, 24286, 31981, 540, 519, 12815, 998, 3194, 26665, 3298, 4721, 692, 5331, 1373, 2111, 547, 2951, 1394, 538, 942, 543, 7198, 519, 5137, 540, 5863, 18563, 602, 4957, 938, 1158, 256, 2755, 649, 666, 1405, 2965, 979, 1394, 538, 942, 267, 972, 616, 1004, 945, 1353, 519, 2250, 547, 948, 721, 1174, 875, 891, 6909, 10124, 3357, 827, 269, 1452, 4966, 616, 1634, 607, 3173, 267, 543, 789, 6108, 741, 2395, 11362, 883, 7452, 344, 2835, 267, 6313, 3140, 13742, 267, 543, 2650, 1424, 1927, 10881, 689, 1279, 3516, 269, 2290, 2027, 1895, 540, 3173, 1572, 834, 325, 749, 3298, 257, 1256, 1205, 547, 2661, 543, 960, 693, 4190, 8021, 4904, 609, 3504, 16782, 256, 2913, 781, 1451, 811, 827, 1018, 891, 4241, 2043, 798, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 27692, 8065, 7732, 568, 5885, 476, 2190, 1382, 8593, 3298, 1282, 519, 476, 1708, 274, 268, 2190, 4081, 1032, 269, 901, 1032, 781, 20165, 568, 519, 4102, 538, 519, 31776, 1982, 781, 1686, 609, 2818, 689, 519, 2136, 2276, 267, 607, 1134, 607, 9945, 538, 4516, 267, 5125, 267, 16848, 267, 12907, 267, 543, 519, 2136, 8003, 269, 4256, 3785, 3382, 513, 2647, 2039, 540, 3584, 267, 1519, 519, 4070, 540, 3167, 1379, 5121, 538, 519, 12144, 267, 2442, 2257, 2069, 538, 519, 8168, 5742, 267, 543, 519, 8798, 540, 2681, 8228, 538, 2038, 2413, 5125, 563, 1607, 1032, 267, 519, 27692, 8065, 7732, 786, 849, 2709, 1896, 7463, 1382, 8593, 3298, 4721, 585, 519, 1101, 942, 912, 268, 23011, 19134, 267, 513, 7548, 538, 519, 4972, 540, 3778, 1299, 17323, 693, 7147, 8828, 2160, 267, 4607, 519, 7732, 779, 1101, 2817, 7736, 578, 618, 585, 519, 28299, 630, 20911, 295, 264, 5403, 4777, 28118, 26665, 23050, 563, 268, 12275, 21884, 21025, 4883, 517, 267, 606, 19670, 13930, 7548, 540, 1686, 693, 3345, 10491, 3557, 2160, 267, 729, 6074, 607, 519, 22305, 1116, 18579, 540, 519, 7603, 727, 21942, 26665, 23050, 538, 17224, 2214, 659, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16631, 543, 5303, 257, 607, 851, 540, 834, 19615, 1315, 31511, 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 ]
[ 0, 9223, 281, 23675, 543, 22997, 281, 1215, 547, 18415, 2867, 513, 26372, 539, 10077, 325, 269, 8073, 513, 5748, 5832, 269, 5900, 778, 519, 20612, 547, 707, 18415, 2867, 13622, 609, 513, 17277, 330, 2254, 267, 1287, 960, 909, 513, 5748, 5832, 540, 476, 1220, 5832, 25573, 269, 1403, 596, 1810, 1405, 917, 875, 547, 1118, 513, 17277, 330, 2254, 610, 5832, 19173, 267, 1294, 519, 834, 4388, 834, 3296, 585, 5528, 269, 3097, 271, 269, 901, 10077, 325, 568, 5249, 3259, 3772, 267, 865, 519, 3259, 540, 707, 5832, 786, 581, 519, 3259, 540, 707, 8737, 10077, 325, 269, 1411, 666, 1118, 519, 5832, 3476, 610, 10156, 4470, 593, 707, 5551, 3259, 267, 855, 519, 1297, 540, 5832, 25573, 596, 3442, 1058, 581, 513, 2789, 540, 1079, 563, 272, 269, 1496, 27583, 316, 22911, 707, 960, 2627, 609, 2614, 1216, 547, 1106, 513, 16095, 6438, 4494, 1472, 519, 3259, 543, 8700, 540, 707, 10077, 325, 269, 1496, 27583, 316, 932, 641, 707, 20612, 543, 519, 8142, 676, 1688, 563, 273, 269, 1280, 513, 2596, 4743, 540, 1489, 593, 519, 3490, 540, 707, 26372, 543, 585, 25194, 267, 2119, 547, 946, 513, 6566, 1228, 5748, 5832, 269, 1496, 27583, 316, 6258, 875, 547, 946, 707, 10077, 325, 538, 513, 2582, 8520, 563, 274, 269, 1496, 27583, 316, 5269, 513, 13622, 547, 13793, 519, 10077, 325, 269, 1496, 21163, 316, 27387, 707, 18415, 2867, 13622, 630, 528, 946, 513, 2834, 18415, 2867, 13622, 264, 998, 519, 20612, 543, 1287, 7485, 998, 782, 2185, 25573, 593, 707, 13622, 563, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1250, 23544, 5416, 8029, 825, 1535, 30381, 21858, 3488, 1412, 3418, 825, 561, 17342, 15947, 825, 561, 6910, 3287, 3418, 825, 1820, 10857, 3418, 24541, 3698, 1250, 23544, 4433, 8029, 825, 2698, 284, 271, 1477, 825, 585, 2262, 538, 521, 21858, 28399, 1038, 2119, 6769, 2018, 2698, 23785, 842, 27182, 3418, 1038, 4849, 28759, 6769, 2018, 1780, 1477, 825, 2132, 2698, 1477, 24541, 24541, 3698, 2922, 318, 14725, 6600, 21726, 8029, 825, 2119, 6769, 1038, 535, 3287, 3418, 825, 4849, 28759, 6769, 1038, 2132, 1412, 19368, 19587, 262, 1477, 825, 4849, 7392, 13286, 6769, 1038, 2132, 1412, 6943, 19587, 262, 1477, 825, 3116, 6769, 1038, 2132, 1412, 758, 262, 476, 5897, 3698, 535, 3287, 8029, 825, 2132, 1535, 20080, 282, 5897, 338, 12522, 318, 14725, 6600, 267, 274, 3418, 338, 12522, 318, 14725, 6600, 10086, 329, 724, 325, 20298, 338, 12522, 318, 14725, 6600, 267, 274, 269, 1822, 10142, 3698, 30775, 3287, 8029, 825, 2119, 6769, 1038, 952, 1535, 285, 271, 6769, 2018, 2132, 1412, 758, 262, 1477, 825, 4849, 28759, 6769, 1038, 2132, 1412, 19368, 13286, 262, 1477, 825, 4849, 7392, 13286, 6769, 1038, 2132, 1412, 13911, 13286, 262, 1477, 1363, 1477, 3698, 30775, 3287, 8029, 825, 952, 1826, 3287, 25631, 284, 842, 6769, 1038, 6318, 7392, 13286, 3488, 2750, 1061, 539, 703, 20298, 825, 8640, 1535, 283, 271, 6769, 1038, 6318, 28759, 3488, 326, 582, 2258, 520, 643, 337, 703, 20298, 17264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1477, 18257, 1477, 23056, 269, 6022, 30308, 21912, 5903, 1477, 1001, 278, 269, 1321, 269, 866, 1477, 18257, 1477, 258, 9502, 585, 2206, 569, 30499, 1592, 23228, 258, 1362, 5903, 11966, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 8029, 258, 1363, 1582, 22183, 815, 1535, 1477, 258, 1363, 1582, 12785, 815, 7183, 1477, 10254, 353, 13161, 511, 18713, 508, 24757, 12255, 8147, 421, 355, 500, 10429, 486, 17958, 8147, 417, 379, 360, 418, 483, 351, 418, 490, 485, 421, 496, 486, 23521, 354, 19867, 378, 28996, 18809, 30536, 8147, 419, 482, 370, 12571, 492, 9463, 491, 420, 377, 361, 12571, 492, 30837, 351, 7511, 421, 497, 378, 23989, 263, 30244, 13601, 27882, 354, 23746, 23284, 20069, 302, 263, 272, 264, 419, 358, 374, 25426, 368, 7511, 417, 479, 504, 25622, 3418, 419, 482, 370, 12571, 492, 20881, 494, 14748, 10254, 353, 13161, 511, 5405, 479, 1477, 5035, 8827, 6769, 825, 1219, 568, 21595, 30308, 4311, 267, 2212, 8029, 1038, 5727, 1477, 1038, 2433, 6943, 2212, 281, 5903, 11966, 1477, 1038, 2433, 337, 6943, 281, 536, 944, 1477, 1038, 5727, 1477, 1038, 952, 711, 2212, 610, 711, 2212, 12785, 6769, 2018, 2132, 6936, 1477, 1038, 1948, 19867, 378, 28996, 18809, 30536, 1477, 1038, 3500, 284, 3650, 1477, 1038, 3728, 284, 3650, 1477, 1038, 1247, 3728, 12785, 543, 3728, 12785, 12785, 281, 258, 418, 490, 487, 9724, 12785, 3728, 12785, 12785, 7511, 421, 350, 374, 31365, 19540, 503, 8147, 9463, 355, 14035, 500, 417, 28187, 31563, 9724, 12785, 21251, 11858, 502, 21928, 7511, 13644, 507, 8147, 21251, 420, 25693, 20069, 9724, 12785, 12785, 1477, 2018, 3500, 284, 338, 869, 12785, 1477, 2018, 3728, 284, 9724, 12785, 12785, 1477, 1363, 1477, 1038, 1007, 284, 8266, 11966, 263, 271, 3418, 1038, 521, 284, 338, 869, 12785, 1477, 1038, 1247, 521, 6769, 2018, 10917, 284, 338, 12785, 1477, 2018, 521, 12785, 284, 2908, 12785, 1477, 2018, 1007, 12785, 284, 338, 1477, 2018, 521, 284, 31184, 1477, 1038, 533, 284, 3650, 1477, 1038, 7117, 284, 2908, 12785, 1477, 1038, 1247, 7117, 6769, 2018, 952, 533, 22183, 256, 284, 336, 22183, 6769, 3546, 2132, 8771, 1477, 2018, 533, 284, 335, 12785, 1477, 2018, 7117, 284, 336, 12785, 1477, 1038, 2132, 6936, 1477, 1363, 1477, 1038, 952, 2212, 22183, 2525, 3650, 12785, 22183, 281, 258, 31176, 358, 31284, 11590, 490, 30317, 7511, 418, 481, 483, 19540, 369, 1477, 2018, 2132, 6936, 1477, 1038, 3116, 6769, 2018, 2132, 8771, 5897, 17264, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27670, 540, 695, 514, 9856, 454, 24552, 7404, 695, 514, 9856, 454, 1692, 547, 946, 695, 514, 9856, 538, 513, 4845, 454, 288, 9856, 568, 812, 940, 519, 7450, 267, 799, 568, 2141, 6854, 513, 21186, 865, 1352, 666, 581, 16913, 563, 4537, 514, 5555, 23012, 3345, 11114, 24811, 1247, 538, 21499, 563, 3080, 540, 519, 1034, 4583, 19971, 540, 713, 5736, 729, 1744, 514, 590, 836, 268, 758, 630, 424, 489, 510, 424, 481, 479, 424, 502, 354, 1916, 17682, 12295, 519, 11114, 5728, 7128, 1131, 711, 3494, 1010, 32043, 6260, 1650, 267, 1744, 514, 12306, 538, 21035, 563, 16248, 1296, 3516, 267, 17044, 15050, 7980, 3357, 883, 519, 15113, 543, 7166, 513, 804, 20143, 15034, 540, 16475, 808, 1495, 31608, 25881, 7868, 667, 836, 2730, 10684, 6363, 24962, 10555, 2782, 9737, 9459, 543, 9031, 347, 308, 3405, 10787, 5622, 336, 347, 20103, 476, 3066, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 1103, 1880, 519, 17135, 540, 1520, 1231, 330, 1195, 6035, 721, 513, 9856, 540, 15823, 2367, 547, 519, 1985, 6728, 267, 952, 649, 25370, 9150, 539, 1022, 8594, 563, 4002, 519, 10543, 540, 5181, 476, 1704, 628, 646, 2366, 2476, 1010, 4434, 9856, 540, 1079, 8536, 2367, 538, 32210, 1507, 16996, 12991, 777, 1961, 517, 781, 15794, 1023, 31340, 269, 623, 269, 14480, 333, 6261, 3430, 2581, 454, 8867, 3058, 19839, 334, 547, 9856, 267, 16452, 6172, 5523, 519, 3529, 267, 543, 547, 1010, 9547, 1185, 513, 1434, 2070, 540, 519, 2197, 563, 9336, 13390, 1081, 729, 3144, 676, 29962, 2871, 10560, 547, 9856, 1996, 513, 3781, 4323, 267, 855, 1010, 2370, 7952, 729, 4847, 547, 1964, 538, 4708, 563, 32701, 631, 976, 773, 584, 632, 645, 1014, 322, 22620, 729, 2141, 593, 1010, 9856, 267, 543, 1419, 2366, 519, 10935, 593, 6619, 609, 519, 3280, 532, 6122, 611, 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 ]
[ 0, 3848, 476, 278, 281, 667, 12782, 489, 577, 774, 340, 17554, 511, 339, 966, 14504, 1912, 328, 17845, 333, 667, 12782, 489, 577, 630, 9558, 3175, 543, 28604, 264, 538, 14579, 5678, 5530, 692, 1103, 2221, 781, 10562, 1158, 267, 2500, 2792, 2066, 10409, 543, 2686, 6302, 814, 1831, 5051, 1271, 269, 1306, 14051, 5170, 547, 3142, 1004, 6251, 1927, 267, 972, 568, 513, 3395, 991, 585, 4648, 945, 4865, 2178, 1893, 1983, 543, 513, 2620, 1620, 540, 1312, 2707, 543, 3077, 4529, 269, 5565, 2565, 2127, 602, 723, 7153, 1369, 713, 2361, 616, 8144, 543, 7664, 269, 769, 713, 3184, 267, 649, 786, 2263, 891, 1079, 10459, 538, 3152, 3178, 267, 6313, 741, 10486, 267, 3604, 267, 2591, 267, 543, 1655, 2853, 269, 1284, 786, 849, 2015, 875, 789, 9305, 547, 519, 6626, 2796, 540, 4914, 1893, 1353, 267, 3226, 538, 519, 2013, 540, 19176, 780, 296, 269, 22564, 5288, 269, 28604, 281, 4197, 519, 17943, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23458, 8144, 568, 519, 519, 7503, 1184, 609, 519, 9709, 20487, 540, 476, 272, 5169, 7215, 547, 513, 1114, 269, 898, 568, 3592, 2141, 5645, 856, 513, 1880, 1913, 610, 6148, 538, 930, 1808, 25896, 547, 2490, 269, 901, 666, 1331, 824, 267, 6639, 267, 3318, 267, 1870, 267, 5363, 543, 3656, 8144, 563, 2252, 596, 6068, 713, 1867, 543, 596, 1131, 899, 547, 3489, 3606, 1239, 609, 14621, 547, 4179, 2517, 322, 784, 816, 328, 514, 1181, 1794, 1308, 328, 269, 527, 24963, 3643, 519, 1357, 21935, 563, 9558, 331, 725, 2356, 616, 711, 7363, 12261, 689, 519, 2813, 4199, 6863, 547, 513, 29724, 27787, 5169, 1893, 269, 634, 6037, 1807, 32245, 4930, 6175, 741, 8369, 543, 27711, 873, 676, 1259, 540, 741, 1880, 1913, 543, 2453, 3330, 540, 513, 1893, 269, 3958, 519, 6037, 1807, 1568, 593, 519, 4914, 1893, 547, 2769, 519, 3169, 1482, 8369, 563, 763, 3483, 540, 7664, 1131, 581, 547, 3717, 519, 1523, 540, 1018, 779, 7768, 689, 2943, 1776, 1893, 538, 519, 1893, 540, 922, 5561, 269, 2368, 16627, 616, 585, 5363, 610, 1930, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 12782, 489, 577, 555, 340, 17554, 511, 339, 642, 14504, 943, 328, 17845, 333, 546, 12782, 489, 577, 1262, 630, 9558, 3175, 543, 28604, 17983, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 19176, 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 ]
[ 0, 258, 1215, 798, 596, 7941, 476, 630, 278, 268, 280, 328, 19422, 277, 266, 328, 264, 476, 538, 25066, 1106, 2496, 9802, 476, 274, 267, 476, 1001, 279, 692, 259, 284, 1422, 2765, 346, 3451, 2410, 4391, 348, 910, 1422, 2765, 346, 8618, 2410, 4391, 348, 1775, 6911, 2971, 19247, 1384, 7445, 2765, 346, 278, 910, 476, 280, 1775, 2410, 277, 1341, 1775, 348, 1923, 1422, 10383, 1422, 3847, 263, 277, 910, 1775, 9368, 22491, 7445, 2765, 3189, 3847, 263, 278, 910, 476, 280, 1775, 9368, 264, 1422, 3847, 263, 277, 910, 1775, 9368, 264, 7346, 3847, 263, 277, 1341, 1775, 9368, 264, 1422, 3847, 263, 277, 910, 1775, 9368, 264, 10592, 7445, 2765, 346, 5655, 910, 476, 8618, 1775, 1341, 476, 280, 2715, 328, 8703, 273, 12453, 3607, 910, 476, 277, 1775, 1341, 476, 277, 1775, 910, 2715, 328, 8703, 273, 32556, 7445, 2765, 346, 5655, 910, 476, 8618, 1775, 1341, 476, 280, 2715, 328, 8703, 273, 12453, 3607, 910, 2715, 328, 8703, 273, 32556, 7445, 2765, 346, 5655, 910, 476, 280, 910, 476, 8618, 1775, 2410, 3607, 1341, 476, 272, 10592, 7445, 2765, 346, 3451, 910, 476, 8618, 1775, 2410, 4391, 10592, 259, 284, 1422, 2765, 346, 3451, 2410, 4391, 348, 910, 1422, 2765, 346, 8618, 2410, 4391, 348, 1775, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9448, 305, 8065, 920, 560, 29673, 28238, 559, 5314, 6997, 1564, 630, 7704, 299, 338, 264, 616, 1582, 14194, 1127, 633, 3114, 1184, 10832, 2966, 547, 6166, 2436, 9252, 4598, 2175, 723, 1044, 6913, 269, 1358, 616, 2966, 547, 581, 1031, 593, 1367, 3688, 630, 324, 3052, 269, 11149, 267, 24502, 3092, 4700, 547, 5815, 602, 519, 6221, 814, 1044, 2047, 6534, 547, 9252, 2175, 563, 2750, 19397, 3615, 547, 15459, 9252, 693, 5210, 1063, 476, 13199, 9180, 543, 476, 16328, 9180, 568, 8810, 547, 581, 606, 2500, 543, 2241, 632, 4186, 8727, 1505, 267, 11318, 782, 2890, 268, 13060, 543, 24032, 269, 634, 2565, 1184, 4632, 616, 942, 267, 2837, 454, 663, 9252, 543, 891, 9399, 299, 10297, 666, 581, 1031, 607, 851, 540, 513, 12007, 1184, 547, 2327, 602, 519, 4452, 814, 1044, 6534, 547, 513, 9252, 10322, 559, 5314, 4783, 3850, 6713, 539, 543, 1133, 15263, 539, 3688, 547, 581, 5693, 4857, 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 ]
[ 0, 2026, 513, 2979, 4116, 267, 1250, 3119, 3804, 568, 547, 948, 1142, 2875, 1020, 513, 4514, 1620, 540, 6310, 2035, 269, 4495, 1053, 2253, 547, 1174, 2979, 267, 789, 3533, 1020, 6015, 538, 741, 5759, 267, 543, 741, 2979, 21711, 865, 1513, 269, 634, 2979, 6437, 568, 2966, 547, 4161, 1053, 543, 5965, 873, 585, 519, 6551, 832, 540, 1164, 1153, 2979, 563, 2171, 2709, 1053, 1079, 6437, 10092, 547, 11654, 1759, 2390, 5578, 1377, 269, 3776, 2596, 6437, 2636, 1053, 547, 4487, 7311, 2596, 19106, 1983, 609, 9981, 267, 17447, 543, 8454, 267, 5506, 543, 7194, 267, 6482, 24740, 267, 12753, 543, 17114, 267, 607, 1134, 607, 14236, 1079, 8820, 9511, 269, 10801, 713, 1982, 267, 649, 948, 1053, 5912, 1063, 519, 6405, 1641, 540, 12980, 547, 811, 7493, 3206, 2838, 585, 7223, 543, 9511, 563, 27396, 1218, 540, 938, 18965, 6437, 616, 4857, 998, 6101, 10526, 543, 4116, 7840, 269, 769, 713, 1982, 267, 1053, 3382, 519, 2596, 6437, 1282, 741, 1101, 1079, 1296, 4553, 676, 606, 10789, 476, 272, 1576, 741, 3803, 1032, 563, 5629, 513, 3923, 267, 1053, 960, 593, 519, 10865, 2591, 689, 519, 4569, 4032, 338, 1982, 269, 4569, 4032, 338, 2591, 1053, 547, 4194, 2042, 799, 2721, 2390, 741, 2979, 1983, 607, 1134, 607, 1966, 6061, 1983, 269, 634, 4569, 4032, 338, 6735, 1982, 2488, 1053, 609, 606, 4316, 547, 14526, 609, 1053, 689, 824, 3506, 538, 513, 6237, 6735, 563, 4263, 3776, 15248, 540, 15310, 9874, 7826, 3427, 267, 1053, 4166, 3605, 602, 2979, 568, 5963, 1187, 543, 1945, 3025, 666, 1451, 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 ]
[ 0, 288, 2793, 299, 3041, 3041, 7330, 295, 2969, 3198, 296, 623, 4932, 289, 2464, 2752, 3198, 594, 298, 3198, 623, 4696, 288, 918, 2207, 4456, 10621, 808, 2752, 5058, 6673, 7419, 294, 630, 298, 297, 288, 264, 667, 3198, 918, 5357, 4456, 14192, 918, 5588, 288, 808, 4456, 10292, 454, 21292, 281, 293, 9879, 267, 12551, 2037, 26171, 618, 267, 28521, 563, 1607, 1353, 6663, 547, 3313, 282, 476, 272, 264, 901, 1353, 6663, 547, 3313, 282, 476, 272, 264, 1677, 1265, 856, 519, 6609, 540, 562, 10042, 543, 1273, 514, 8105, 538, 13735, 2121, 524, 1137, 630, 298, 297, 288, 264, 543, 22253, 538, 808, 3711, 328, 4975, 267, 476, 273, 264, 1677, 1265, 856, 875, 1454, 519, 1377, 540, 2504, 267, 1942, 543, 4747, 540, 562, 10042, 543, 1273, 514, 8105, 538, 13735, 2121, 21799, 2923, 630, 298, 297, 288, 264, 543, 11432, 267, 476, 274, 264, 1677, 5659, 519, 4747, 6476, 540, 562, 10042, 543, 1273, 514, 8105, 538, 13735, 2121, 524, 1137, 630, 298, 297, 288, 264, 543, 22253, 563, 763, 2164, 4951, 602, 519, 3328, 4747, 4607, 676, 562, 10042, 6705, 538, 918, 297, 288, 729, 681, 335, 269, 476, 275, 267, 4281, 273, 267, 1822, 267, 910, 543, 562, 10042, 538, 513, 11432, 540, 681, 335, 269, 476, 275, 267, 25248, 267, 1220, 267, 910, 1247, 519, 3328, 10343, 540, 1273, 514, 693, 918, 297, 288, 568, 681, 335, 269, 476, 277, 267, 4366, 278, 267, 1822, 267, 910, 543, 1273, 514, 538, 519, 7535, 540, 681, 335, 269, 476, 278, 267, 15389, 267, 1822, 267, 910, 634, 3328, 4747, 540, 562, 10042, 538, 918, 297, 288, 568, 681, 335, 269, 476, 6795, 277, 267, 278, 5325, 267, 910, 543, 681, 335, 269, 476, 15782, 267, 4968, 267, 910, 562, 10042, 4747, 538, 519, 11432, 267, 1247, 1273, 514, 538, 918, 297, 288, 568, 681, 335, 269, 476, 7176, 267, 21709, 267, 910, 543, 681, 335, 269, 476, 29024, 267, 23669, 267, 910, 538, 519, 11432, 269, 5811, 540, 512, 23150, 593, 562, 10042, 609, 555, 527, 815, 476, 274, 269, 4366, 276, 285, 512, 7305, 630, 10382, 273, 815, 476, 276, 260, 17093, 815, 476, 1240, 630, 273, 267, 1911, 4297, 799, 1797, 12794, 568, 15653, 267, 1287, 8105, 4747, 540, 562, 10042, 538, 918, 297, 288, 568, 3152, 982, 11432, 267, 1247, 1273, 514, 1871, 568, 555, 527, 815, 910, 275, 267, 31973, 285, 512, 7305, 815, 476, 273, 267, 1911, 267, 799, 1797, 12794, 568, 7608, 267, 1287, 3648, 519, 4747, 540, 3032, 8127, 8105, 568, 2147, 610, 4130, 982, 538, 22253 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7476, 15306, 3917, 693, 519, 29049, 6816, 31584, 13332, 9549, 454, 763, 2680, 7512, 3214, 547, 1205, 9599, 827, 2979, 543, 2257, 563, 21659, 1824, 949, 581, 1187, 543, 13777, 22618, 267, 855, 789, 849, 1404, 606, 7533, 1909, 538, 1082, 6080, 269, 1677, 948, 1397, 875, 1082, 1114, 3549, 267, 3506, 543, 1875, 2889, 22327, 946, 11608, 538, 741, 960, 267, 1382, 543, 3872, 13485, 267, 29049, 6816, 4841, 540, 519, 8892, 543, 519, 5274, 640, 2578, 1229, 29790, 19541, 693, 9466, 2160, 2322, 1927, 519, 5993, 29049, 6816, 31584, 13332, 9549, 269, 901, 1032, 267, 519, 2680, 3217, 1747, 4989, 476, 280, 689, 476, 1556, 513, 6230, 269, 547, 476, 275, 533, 6230, 269, 693, 519, 623, 11170, 527, 7637, 11846, 4741, 693, 9466, 2160, 267, 543, 621, 3322, 513, 1554, 540, 3695, 875, 11608, 616, 1031, 538, 1483, 1272, 269, 27819, 15823, 15225, 543, 23405, 267, 1082, 540, 873, 3946, 6823, 543, 1920, 7888, 267, 786, 1331, 513, 31959, 540, 21489, 7901, 268, 543, 5299, 4216, 13355, 1582, 28391, 11608, 3710, 676, 1153, 7302, 10242, 602, 1847, 2059, 513, 8905, 3330, 519, 15547, 19063, 1756, 543, 13201, 15842, 779, 1918, 520, 3055, 28077, 2831, 602, 16616, 7344, 2694, 267, 13031, 875, 789, 1847, 269, 968, 293, 565, 802, 786, 1294, 1018, 779, 8345, 538, 17562, 543, 1644, 4610, 543, 2743, 519, 1004, 2324, 543, 1565, 538, 891, 2127, 2223, 3081, 6307, 9652, 267, 513, 4759, 540, 519, 4604, 540, 19971, 585, 29049, 6816, 4841, 540, 519, 8892, 269, 898, 849, 3947, 4126, 547, 1346, 945, 616, 2907, 6964, 538, 17562, 267, 1352, 3081, 267, 1317, 789, 1205, 547, 7198, 513, 2898, 1007, 5108, 602, 568, 5461, 538, 741, 11678, 269, 968, 2005, 779, 513, 1259, 547, 5000, 3214, 547, 3251, 3238, 538, 2257, 267, 2029, 267, 4702, 543, 2979, 267, 543, 1397, 873, 1018, 11678, 543, 11444, 616, 856, 972, 2223, 3081, 9652, 269, 1567, 325, 14492 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22013, 756, 4733, 11642, 666, 1439, 9734, 2729, 543, 2800, 2950, 269, 898, 781, 1271, 547, 1491, 3268, 547, 2061, 873, 538, 707, 1858, 543, 1832, 3025, 2922, 563, 2171, 991, 707, 948, 538, 7863, 519, 24781, 543, 9205, 2127, 269, 6969, 707, 7552, 267, 2638, 856, 519, 13677, 30482, 7457, 8943, 585, 3106, 4388, 563, 2691, 621, 2501, 547, 13755, 18394, 267, 621, 781, 1271, 547, 3922, 1047, 3106, 269, 1703, 616, 1896, 15416, 602, 1058, 581, 3144, 547, 2327, 513, 2922, 543, 11791, 1995, 563, 1103, 1840, 547, 11642, 267, 649, 849, 6023, 3978, 4155, 6808, 21611, 563, 305, 889, 321, 880, 543, 20549, 11642, 616, 1455, 543, 5906, 269, 11822, 3527, 666, 2569, 519, 10171, 540, 9205, 11642, 563, 27852, 4103, 3106, 1344, 585, 3506, 543, 2146, 2516, 454, 28444, 1005, 3595, 1740, 3106, 568, 1271, 269, 898, 568, 4105, 547, 1491, 782, 2556, 15416, 547, 2061, 1022, 10913, 563, 2005, 568, 2141, 10930, 547, 7390, 513, 22555, 1857, 4159, 269, 1403, 621, 781, 2556, 585, 596, 547, 723, 513, 1753, 32030, 4159, 267, 1246, 519, 9605, 4103, 8943, 693, 782, 2053, 563, 27288, 18394, 10460, 513, 1713, 8594, 607, 789, 666, 3533, 3262, 543, 1689, 4287, 267, 682, 12686, 689, 835, 1858, 547, 1776, 269, 7427, 938, 3106, 4808, 547, 1832, 707, 1753, 543, 1920, 2922, 689, 23967, 563, 8340, 856, 875, 547, 3251, 2922, 950, 2282, 610, 538, 1216, 269, 1284, 849, 723, 5796, 593, 10068, 267, 10935, 267, 543, 10977, 3106, 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 ]
[ 0, 763, 3817, 602, 1246, 8806, 4766, 6411, 543, 2621, 799, 723, 3144, 1747, 1369, 519, 2039, 540, 519, 2278, 781, 973, 565, 27928, 269, 1261, 4862, 5717, 607, 513, 7911, 267, 538, 5333, 267, 2390, 519, 2112, 540, 7969, 19802, 267, 543, 4718, 7980, 1376, 585, 602, 5859, 538, 476, 6977, 280, 269, 3571, 4651, 543, 835, 540, 1010, 12543, 941, 7494, 5461, 538, 519, 2398, 639, 810, 22341, 2112, 1996, 16862, 267, 799, 789, 2808, 607, 519, 5838, 766, 540, 4057, 12387, 6479, 16586, 538, 513, 5691, 4436, 2197, 269, 13536, 593, 267, 538, 741, 1378, 1259, 267, 789, 5941, 519, 598, 23807, 480, 1112, 1063, 2398, 17892, 543, 15212, 269, 1280, 835, 540, 891, 2367, 267, 513, 17557, 267, 2398, 17892, 729, 519, 16277, 324, 2366, 894, 540, 12666, 1143, 267, 540, 1480, 1143, 267, 540, 3356, 282, 1247, 585, 519, 824, 267, 513, 7826, 267, 15212, 729, 519, 8169, 617, 1014, 540, 3864, 1931, 267, 540, 519, 1655, 15061, 5389, 538, 513, 9103, 18146, 2486, 267, 543, 519, 1390, 5295, 1034, 10121, 547, 519, 5783, 269, 634, 7391, 543, 5717, 799, 519, 7911, 4862, 941, 267, 607, 513, 4341, 267, 25619, 538, 28548, 543, 3592, 2141, 538, 741, 8753, 267, 855, 789, 2813, 585, 1864, 606, 1719, 538, 519, 2042, 540, 3844, 2342, 602, 814, 1044, 9434, 269, 634, 21473, 1723, 17376, 11701, 2112, 6026, 1864, 1018, 547, 1589, 540, 519, 1454, 642, 13550, 539, 12666, 1143, 543, 533, 6680, 13336, 540, 519, 2244, 540, 645, 1143, 541, 1188, 269, 4427, 2425, 550, 1686, 814, 7000, 547, 1864, 1018, 4436, 3401, 267, 711, 8204, 31719, 519, 1004, 267, 1223, 798, 547, 3771, 992, 519, 9997, 269, 2986, 513, 15231, 4182, 543, 29405, 1200, 27469, 676, 12394, 547, 15739, 9016, 873, 269, 634, 5856, 568, 6857, 540, 519, 10322, 19388, 7907, 543, 540, 519, 12492, 906, 540, 519, 14763, 540, 1010, 5065, 2244, 267, 855, 621, 568, 741, 24407, 267, 741, 10728, 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 ]
[ 0, 769, 519, 2295, 540, 519, 18932, 8835, 22986, 5030, 513, 2189, 14316, 540, 22171, 1634, 607, 519, 19681, 680, 16146, 269, 1358, 941, 3957, 865, 1317, 789, 1185, 519, 15116, 4356, 540, 8654, 909, 741, 2619, 676, 8876, 30437, 3595, 13219, 538, 4837, 30660, 13615, 1472, 741, 3649, 1235, 269, 901, 5280, 873, 6330, 519, 10053, 4104, 693, 3781, 780, 3080, 1554, 267, 645, 784, 334, 267, 606, 27093, 1762, 19681, 680, 7660, 24564, 267, 729, 2220, 15781, 16837, 569, 593, 513, 3529, 7936, 950, 646, 4862, 15309, 1782, 3762, 7404, 910, 513, 2312, 1129, 540, 8594, 256, 3571, 2295, 11013, 539, 5488, 982, 8912, 269, 1261, 6785, 646, 1223, 2901, 2196, 610, 18711, 2476, 547, 3106, 269, 1809, 875, 2484, 1131, 646, 1205, 286, 2913, 781, 5173, 281, 952, 645, 784, 334, 2220, 2426, 693, 1010, 1283, 3432, 540, 476, 1015, 3952, 829, 2034, 585, 476, 1015, 7643, 543, 10443, 2059, 519, 8371, 693, 513, 10605, 540, 476, 1428, 3952, 829, 2034, 950, 18901, 585, 476, 276, 811, 7643, 1862, 2334, 5921, 646, 9364, 3382, 476, 1911, 3952, 1247, 2220, 15781, 630, 1015, 10264, 270, 5913, 1535, 476, 1015, 3813, 264, 7132, 476, 4037, 3952, 1247, 4881, 630, 1428, 10264, 270, 5913, 1535, 476, 276, 3813, 1070, 4758, 1864, 513, 6264, 2698, 540, 476, 11260, 3952, 256, 2372, 924, 513, 3845, 8197, 2439, 9617, 1287, 267, 932, 760, 334, 267, 645, 784, 334, 781, 8797, 2025, 3659, 267, 2220, 2426, 5196, 519, 1482, 7936, 269, 2060, 1296, 540, 7326, 896, 1010, 12966, 267, 932, 760, 334, 8480, 539, 267, 834, 289, 784, 334, 267, 3314, 267, 3432, 3884, 1405, 3388, 269, 1411, 1590, 849, 2015, 1141, 596, 616, 2469, 3010, 296, 3913, 1681, 932, 760, 334, 781, 5796, 267, 645, 784, 334, 546, 14414, 1055, 1510, 3206, 269, 1306, 513, 1267, 267, 3079, 540, 29400, 2509, 3106, 267, 646, 1336, 5128, 16290, 2282, 513, 29384, 6316, 269, 898, 3576, 782, 540, 932, 760, 334, 781, 6297, 4058, 543, 5583, 547, 948, 645, 784, 334, 1394, 547, 3106, 780, 1607, 10071, 6026, 645, 784, 334, 1079, 1271, 4245, 281, 1101, 267, 2760, 7340, 1455, 2631, 1256, 1282, 18002, 282, 543, 2034, 267, 2141, 6432, 547, 4810, 2828, 899, 932, 760, 334, 269, 2991, 782, 267, 3006, 267, 23646, 1524, 1175, 2614, 547, 1589, 666, 1118, 782, 519, 3017, 1063, 7045, 543, 9568, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 28490, 513, 19681, 680, 7660, 24564, 23638, 689, 7936, 547, 7936, 693, 513, 3432, 540, 476, 1015, 3952, 829, 2034, 543, 8255, 2059, 519, 8371, 693, 513, 3432, 540, 476, 1428, 3952, 829, 2034, 950, 19225, 2989, 267, 543, 621, 8255, 585, 476, 276, 7643, 547, 9101, 513, 23246, 543, 23638, 585, 1776, 476, 1015, 7643, 547, 2333, 519, 3845, 1063, 3294, 543, 519, 23246, 267, 1018, 568, 519, 2698, 3845, 267, 538, 3952, 267, 602, 519, 24564, 786, 2951, 888, 2691, 519, 24564, 8255, 585, 476, 276, 7643, 267, 621, 6227, 513, 3845, 540, 476, 1428, 3952, 270, 16149, 2608, 476, 276, 7643, 815, 476, 4037, 3952, 563, 2691, 519, 24564, 23638, 585, 476, 1015, 7643, 267, 621, 6227, 513, 3845, 540, 476, 1015, 3952, 270, 16149, 2608, 476, 1015, 7643, 815, 476, 1911, 3952, 563, 763, 2698, 3845, 602, 519, 24564, 12599, 568, 476, 4037, 3952, 1341, 476, 1911, 3952, 815, 476, 11260, 3952, 563, 2971, 476, 11260, 454, 763, 2626, 568, 281, 476, 11260, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 2387, 8999, 318, 263, 333, 284, 273, 8203, 5622, 11196, 272, 8203, 333, 14370, 15238, 333, 8203, 333, 319, 2422, 519, 17848, 4530, 547, 3313, 519, 19427, 610, 27754, 540, 519, 3126, 780, 2414, 4019, 1109, 305, 2393, 1449, 1109, 517, 513, 3126, 2387, 8999, 513, 5332, 319, 2073, 649, 3313, 519, 3970, 607, 1384, 319, 3916, 318, 263, 333, 3766, 1729, 334, 264, 3597, 3799, 7565, 347, 320, 5332, 347, 6661, 700, 26384, 528, 692, 319, 3916, 318, 263, 333, 3766, 1729, 334, 264, 1923, 320, 5332, 347, 22677, 272, 14672, 6661, 700, 26384, 320, 264, 2387, 299, 2741, 272, 319, 1287, 519, 3126, 568, 1109, 11274, 5193, 569, 4780, 7217, 780, 321, 264, 2387, 299, 25885, 272, 319, 1287, 519, 3126, 568, 1109, 323, 1853, 7217, 780, 322, 264, 2387, 299, 284, 272, 319, 610, 1109, 323, 3996, 711, 2291, 1109, 1109, 6533, 519, 1109, 11687, 568, 21016, 5477, 269, 634, 3126, 949, 581, 28836, 267, 2783, 958, 4780, 7217, 267, 610, 11613, 4780, 7217, 780, 1103, 1931, 547, 4019, 1109, 305, 2393, 4530, 1109, 514, 8159, 519, 19427, 610, 27754, 540, 519, 1109, 338, 7685, 1109, 319, 8999, 318, 263, 333, 284, 273, 8203, 5622, 11196, 272, 8203, 333, 14370, 15238, 3799, 4297, 317, 333, 319, 2073, 649, 1577, 281, 1109, 319, 320, 5332, 815, 8987, 272, 8203, 333, 14370, 15238, 3799, 4297, 317, 333, 269, 26384, 2171, 1305, 5346, 519, 3970, 607, 1384, 319, 3916, 318, 263, 333, 3766, 1729, 334, 264, 1923, 8987, 272, 8203, 333, 14370, 15238, 3799, 4297, 317, 333, 347, 22677, 272, 14672, 264, 815, 3916, 318, 263, 333, 3766, 1729, 334, 264, 630, 272, 14370, 15238, 3799, 4297, 317, 333, 8203, 263, 272, 14672, 23375, 692, 9616, 281, 2387, 347, 268, 272, 18898, 347, 815, 272, 26384, 7343, 569, 4521, 540, 5890, 9426, 281, 25464, 343, 30819, 8203, 333, 815, 1535, 18898, 30819, 18898, 319, 543, 25464, 343, 18898, 8203, 332, 815, 1535, 22677, 333, 265, 332, 23375, 16317, 319, 3916, 318, 263, 333, 3766, 1729, 334, 264, 630, 272, 14370, 15238, 3799, 4297, 317, 333, 8203, 263, 272, 14672, 6661, 3916, 318, 263, 333, 3766, 1729, 334, 7565, 272, 22677, 272, 14672, 19422, 15238, 3799, 4297, 317, 333, 8203, 263, 272, 14672, 23375, 692, 319, 284, 3916, 318, 263, 333, 3766, 1729, 334, 264, 476, 272, 22677, 272, 14672, 19422, 15238, 3799, 4297, 22677, 333, 265, 272, 14672, 23375, 692, 319, 284, 3916, 318, 263, 333, 3766, 1729, 334, 264, 476, 272, 22677, 272, 14672, 19422, 15238, 3799, 4297, 22677, 333, 14672, 23375, 692, 319, 284, 3916, 318, 263, 333, 3766, 1729, 334, 264, 476, 272, 22677, 272, 14672, 19422, 15238, 3799, 4297, 317, 272, 26384, 319, 284, 3916, 318, 263, 333, 3766, 1729, 334, 264, 476, 272, 22677, 272, 14672, 8358, 15238, 3799, 23375, 692, 7343, 569, 519, 3970, 3959, 281, 319, 1929, 318, 263, 343, 3766, 3279, 25011, 263, 325, 3287, 4297, 14370, 326, 3287, 4297, 316, 815, 263, 3916, 318, 263, 343, 3766, 3279, 264, 535, 3287, 4297, 14370, 3916, 318, 263, 343, 3766, 3279, 264, 575, 3287, 26895, 26384, 319, 3916, 318, 263, 333, 3766, 1729, 334, 264, 272, 22677, 272, 14672, 8358, 15238, 3799, 6661, 263, 3916, 318, 263, 333, 3766, 1729, 334, 264, 272, 22677, 272, 14672, 4297, 14370, 3916, 318, 263, 333, 3766, 1729, 334, 264, 23692, 3799, 4297, 26384, 319, 815, 476, 272, 22677, 272, 270, 5622, 8358, 5622, 26384, 319, 815, 476, 272, 317, 271, 270, 5622, 26384, 319, 815, 476, 272, 270, 5622, 26384, 319, 815, 271, 26384, 763, 3970, 1871, 2387, 299, 284, 271, 319, 25389, 519, 2783, 281, 2387, 299, 561, 339, 272, 319, 2094, 2387, 271, 2741, 272, 269, 26384, 11997, 267, 519, 3126, 1109, 319, 8999, 318, 263, 333, 284, 273, 8203, 5622, 11196, 272, 8203, 333, 14370, 15238, 3799, 4297, 317, 333, 319, 476, 28812, 11613, 4780, 7217, 780, 7343, 28508, 676, 552, 24687, 32000, 12243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 339, 3430, 773, 454, 1724, 692, 2237, 519, 3830, 540, 513, 29236, 609, 922, 14584, 693, 519, 5169, 543, 1463, 3700, 693, 586, 815, 476, 272, 513, 269, 2473, 317, 273, 284, 344, 536, 28629, 317, 273, 284, 311, 524, 269, 311, 317, 273, 15871, 275, 344, 546, 28629, 317, 273, 15871, 275, 343, 692, 13765, 519, 4605, 2630, 4399, 8578, 1422, 3667, 527, 346, 1706, 629, 7637, 14584, 1106, 609, 1445, 1448, 3845, 4153, 11138, 315, 1422, 8218, 15204, 2410, 961, 961, 348, 630, 344, 268, 13997, 737, 3686, 8203, 273, 284, 275, 13997, 533, 3686, 263, 343, 268, 13997, 554, 3686, 264, 8607, 11138, 1422, 7901, 539, 18950, 343, 268, 13997, 554, 3686, 8203, 273, 284, 275, 13997, 533, 3686, 263, 344, 268, 13997, 737, 3686, 14587, 8607, 1422, 754, 15204, 348, 1422, 29911, 1422, 8218, 15204, 2410, 961, 961, 348, 14584, 315, 630, 13997, 554, 3686, 267, 13997, 737, 3686, 9385, 11138, 315, 2715, 346, 533, 3686, 7807, 3667, 527, 18097, 2700, 689, 14584, 547, 476, 27874, 1422, 29911, 1422, 3667, 527, 346, 1445, 610, 1463, 3700, 348, 1422, 754, 15204, 4153, 11138, 315, 476, 10900, 9339, 10559, 11138, 315, 1422, 8218, 26231, 1162, 348, 554, 815, 476, 271, 11138, 737, 815, 476, 271, 11138, 533, 15871, 272, 1422, 754, 26231, 1162, 4153, 574, 18680, 630, 343, 268, 271, 8203, 273, 284, 275, 8987, 272, 7565, 344, 268, 271, 9385, 574, 18680, 1535, 317, 273, 15871, 275, 344, 8607, 11138, 11138, 28363, 322, 2765, 346, 272, 2410, 275, 26507, 317, 273, 284, 344, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 1265, 23544, 5416, 267, 8999, 318, 2187, 453, 331, 17342, 2639, 453, 323, 545, 28121, 8679, 22610, 1775, 538, 2039, 263, 271, 267, 6352, 5416, 15892, 453, 453, 323, 545, 314, 320, 5157, 14963, 284, 328, 454, 22610, 1775, 538, 2039, 630, 271, 267, 6352, 5416, 15892, 453, 14851, 2040, 318, 268, 320, 5157, 316, 538, 546, 545, 912, 4848, 453, 331, 6910, 9230, 328, 28504, 545, 314, 8999, 318, 268, 320, 5157, 14963, 4917, 16596, 561, 454, 3698, 1292, 10031, 453, 320, 17342, 275, 267, 276, 267, 273, 267, 278, 267, 272, 2639, 13537, 1265, 23544, 5416, 267, 280, 994, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 769, 799, 31920, 4884, 568, 25876, 6390, 519, 2817, 5753, 781, 7467, 13883, 888, 12585, 281, 670, 3201, 9281, 288, 311, 454, 2704, 328, 1162, 281, 16199, 604, 1314, 24529, 3397, 757, 267, 16199, 604, 1314, 630, 321, 21403, 1070, 16199, 604, 1314, 632, 539, 32697, 267, 16199, 604, 1314, 7813, 267, 16199, 604, 1314, 7813, 726, 322, 267, 16199, 604, 1314, 630, 23810, 1070, 16199, 604, 1314, 1773, 322, 267, 16199, 604, 1314, 630, 289, 1678, 1070, 634, 16199, 604, 1314, 267, 16199, 604, 1314, 4871, 267, 16199, 604, 1314, 8490, 5980, 267, 16199, 604, 1314, 726, 322, 267, 670, 3201, 9281, 288, 311, 267, 16199, 604, 1314, 630, 18197, 8003, 4871, 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 ]
[ 0, 763, 10315, 540, 32511, 3317, 534, 267, 4092, 538, 519, 7532, 7266, 1537, 851, 540, 519, 7147, 1533, 267, 729, 6896, 538, 476, 6977, 271, 269, 898, 729, 3957, 1310, 29484, 32511, 3317, 534, 267, 513, 22082, 3936, 2401, 538, 519, 1858, 269, 634, 10315, 5097, 31030, 593, 1804, 8397, 10412, 8105, 267, 13184, 267, 8970, 543, 10568, 2504, 267, 543, 12418, 543, 13265, 10443, 4221, 6080, 269, 8466, 4609, 543, 21056, 689, 8021, 267, 15882, 267, 543, 6870, 2127, 616, 849, 1373, 12286, 538, 713, 10315, 269, 1411, 666, 849, 11878, 9640, 1247, 11981, 513, 7147, 10443, 577, 29278, 267, 596, 666, 23593, 519, 4858, 345, 657, 5211, 267, 610, 596, 666, 6300, 693, 519, 13804, 16288, 10369, 269, 5015, 267, 519, 10315, 540, 631, 743, 3317, 534, 3091, 513, 3099, 540, 1426, 5542, 689, 2848, 6545, 267, 16872, 267, 3046, 13069, 1132, 267, 543, 824, 11204, 543, 7969, 32258, 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 ]
[ 0, 12749, 923, 692, 258, 32493, 15689, 692, 292, 6470, 454, 271, 270, 2412, 454, 30182, 942, 547, 4194, 568, 476, 1789, 332, 454, 6944, 30744, 676, 692, 1012, 9046, 3948, 692, 2467, 568, 606, 8870, 5044, 2048, 320, 685, 540, 2450, 2048, 333, 685, 780, 2304, 3693, 568, 1572, 513, 32493, 27100, 952, 621, 568, 3152, 982, 782, 519, 2609, 1459, 547, 922, 1318, 780, 2791, 1590, 2132, 606, 5044, 782, 32493, 15689, 538, 519, 5044, 2048, 320, 685, 780, 9616, 1384, 18606, 763, 2063, 3693, 540, 519, 5044, 568, 2141, 513, 32493, 27100, 563, 32526, 7078, 692, 18606, 19152, 281, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 273, 3910, 562, 815, 476, 275, 692, 20479, 281, 476, 273, 476, 274, 692, 15008, 912, 320, 314, 476, 273, 9948, 815, 476, 274, 568, 3152, 982, 513, 314, 476, 274, 476, 4940, 9747, 621, 568, 513, 32493, 27100, 563, 320, 314, 476, 274, 9948, 815, 476, 273, 568, 519, 2063, 3693, 269, 9747, 621, 568, 513, 32493, 27100, 563, 763, 3803, 2626, 568, 538, 15044, 1931, 563, 32526, 19547, 9229, 7778, 630, 18452, 270, 16059, 3898, 267, 11872, 267, 16103, 12467, 25456, 18452, 476, 272, 912, 18606, 275, 454, 272, 476, 273, 476, 273, 476, 272, 454, 32526, 25456, 19243, 476, 272, 912, 18606, 272, 476, 273, 454, 32526, 15008, 540, 12726, 18452, 476, 272, 912, 18606, 292, 2211, 1459, 693, 519, 2063, 4994, 568, 1412, 272, 262, 543, 568, 513, 9120, 3693, 2094, 972, 616, 1100, 9981, 547, 519, 1318, 540, 621, 563, 292, 2211, 1459, 693, 4994, 476, 273, 630, 271, 268, 8161, 539, 264, 568, 1412, 273, 262, 543, 568, 3152, 982, 782, 519, 2609, 547, 519, 1318, 540, 621, 563, 2467, 616, 1100, 824, 9120, 2609, 1459, 538, 519, 5044, 563, 17798, 519, 3803, 2626, 568, 1496, 272, 267, 273, 14073, 32526, 25456, 18452, 476, 273, 912, 18606, 274, 454, 276, 476, 275, 476, 274, 454, 32526, 25456, 19243, 476, 273, 912, 18606, 274, 476, 275, 476, 276, 454, 32526, 2750, 4624, 5384, 29203, 912, 18606, 2521, 547, 4194, 713, 538, 744, 3799, 1916, 32526, 3519, 14259, 6493, 912, 18606, 272, 10922, 562, 10922, 1015, 317, 276, 454, 272, 10922, 513, 5157, 316, 10922, 476, 1015, 317, 280, 454, 11742, 23423, 281, 476, 272, 3813, 454, 18606, 454, 3519, 18030 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 1572, 3427, 9008, 807, 267, 972, 941, 1079, 1655, 2828, 3957, 717, 2350, 773, 543, 24955, 269, 1358, 6068, 1565, 827, 2257, 543, 941, 2141, 8049, 827, 875, 1919, 5249, 269, 2290, 1554, 267, 789, 4607, 741, 1867, 6486, 543, 4941, 547, 917, 875, 741, 9344, 1131, 1860, 741, 15788, 6103, 8672, 19105, 630, 294, 5183, 6393, 5445, 10272, 7905, 12829, 344, 623, 1218, 267, 519, 8797, 22559, 945, 5030, 538, 519, 1153, 5399, 269, 834, 23178, 2437, 4280, 717, 2350, 773, 267, 834, 6011, 798, 938, 9344, 593, 519, 1867, 3556, 1764, 938, 2949, 717, 5183, 12482, 257, 11039, 267, 1250, 15210, 1053, 2437, 14452, 519, 7548, 267, 834, 326, 10232, 593, 707, 1867, 3556, 616, 899, 6801, 596, 7118, 538, 1114, 5396, 269, 3962, 5182, 814, 513, 1978, 1871, 1107, 589, 1373, 4502, 476, 275, 2798, 267, 645, 4502, 476, 274, 267, 595, 4502, 476, 273, 267, 667, 4502, 476, 272, 267, 543, 674, 2348, 1100, 2798, 1701, 1261, 4797, 267, 834, 2414, 5173, 707, 717, 5183, 267, 649, 1039, 909, 782, 519, 2798, 543, 7941, 621, 676, 519, 2698, 1297, 540, 5049, 610, 1412, 920, 323, 1080, 262, 596, 6836, 23698, 538, 3010, 8867, 334, 729, 9599, 543, 608, 13094, 267, 834, 3383, 267, 952, 594, 1205, 1306, 543, 645, 338, 267, 594, 3513, 723, 811, 2798, 982, 2576, 3478, 595, 338, 543, 667, 338, 10590, 6182, 15619, 267, 7905, 12829, 344, 623, 1218, 21330, 543, 1767, 267, 834, 6546, 781, 1318, 256, 1809, 3314, 267, 1169, 1362, 6927, 267, 865, 1832, 3843, 707, 1655, 538, 782, 5396, 3010, 3719, 10393, 267, 513, 31830, 540, 2842, 6926, 342, 998, 519, 6885, 8876, 3983, 3377, 281, 7797, 6486, 1185, 18417, 1044, 6404, 909, 267, 543, 18864, 6785, 4171, 20705, 547, 7247, 256, 4841, 3323, 3443, 10107, 267, 711, 6616, 1018, 9344, 789, 5963, 6913, 780, 1103, 519, 1439, 267, 3025, 7691, 602, 1247, 1367, 9344, 1869, 20974, 1229, 267, 2519, 9003, 593, 9236, 2933, 609, 1866, 7012, 1405, 4023, 6862, 5363, 269, 15526, 4121, 1945, 3407, 267, 2436, 621, 729, 5355, 1353, 6208, 610, 1620, 1007, 3584, 1732, 269, 1656, 1498, 789, 4769, 1405, 7620, 4126, 585, 971, 513, 2490, 719, 267, 519, 3214, 4362, 513, 10475, 3992, 910, 20678, 585, 2123, 2208, 543, 3356, 666, 1291, 547, 6397, 3675, 903, 543, 3020, 7326, 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, 22081, 798, 9344, 593, 513, 1867, 3556, 3335, 1860, 513, 2875, 781, 2949, 717, 5183, 888, 294, 10232, 593, 513, 1867, 3556, 3335, 1860, 513, 2875, 781, 2949, 717, 5183, 676, 19011, 1645, 519, 10230, 610, 4484, 9344, 12236, 538, 1142, 1576, 267, 26471, 513, 7222, 717, 5183, 6060, 547, 1142, 3446, 267, 543, 1287, 12719, 606, 2949, 717, 5183, 1210, 1346, 8464, 269, 634, 717, 5183, 568, 7229, 676, 12270, 519, 2698, 1297, 540, 3446, 2798, 12236, 676, 519, 2698, 1297, 540, 17099, 13986, 269, 4475, 267, 519, 2362, 519, 9344, 513, 2875, 11392, 593, 741, 1867, 3556, 267, 519, 2362, 741, 2949, 717, 5183, 786, 581, 269, 17957, 267, 952, 513, 2875, 11392, 2539, 9344, 267, 621, 786, 2539, 741, 2949, 717, 5183, 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, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 4904, 609, 4829, 4054, 267, 5030, 1079, 1655, 2828, 3957, 4236, 9857, 519, 21060, 4236, 823, 543, 717, 2088, 519, 3400, 701, 4236, 823, 269, 1358, 941, 1312, 1360, 10583, 540, 741, 30861, 30441, 543, 6068, 4730, 1927, 782, 1554, 1279, 269, 2290, 13566, 12784, 267, 789, 3323, 11842, 799, 835, 540, 873, 1185, 811, 8477, 780, 17315, 9857, 4280, 1010, 3158, 267, 11427, 269, 21060, 10326, 267, 834, 300, 20207, 267, 875, 1082, 8477, 993, 594, 3379, 547, 717, 2088, 8119, 11427, 269, 21060, 10326, 14452, 267, 834, 11039, 15210, 267, 513, 7674, 540, 707, 10433, 814, 1472, 476, 6344, 268, 9610, 8477, 267, 4470, 593, 519, 2450, 3010, 294, 2088, 1287, 5828, 547, 1200, 19033, 267, 6004, 269, 3400, 701, 966, 710, 267, 543, 4280, 519, 1482, 2243, 269, 1261, 12943, 267, 834, 7069, 10475, 717, 2088, 267, 513, 2147, 7674, 540, 707, 10433, 2356, 3568, 5111, 476, 5611, 268, 10204, 8477, 1701, 5637, 4236, 9857, 543, 717, 2088, 5433, 6126, 6616, 741, 9422, 2418, 267, 543, 4797, 11981, 741, 1404, 5503, 1927, 780, 2026, 2395, 4682, 676, 267, 741, 3659, 28546, 5685, 577, 3357, 9683, 269, 2701, 729, 1634, 2429, 519, 4104, 585, 1373, 3514, 543, 2635, 269, 22628, 5685, 577, 267, 4236, 9857, 608, 13094, 267, 834, 20756, 28546, 5685, 577, 256, 22067, 6492, 721, 543, 2995, 3025, 945, 814, 811, 8477, 15323, 19226, 577, 13820, 539, 1312, 23238, 543, 3838, 873, 609, 824, 2831, 538, 519, 4104, 269, 17652, 2614, 267, 3025, 6785, 602, 18812, 10433, 8659, 811, 8477, 982, 10538, 10433, 269, 1306, 513, 1267, 267, 1004, 11074, 6704, 4236, 9857, 1317, 789, 2219, 646, 1131, 1118, 873, 2744, 2597, 269, 901, 1500, 1864, 1745, 8909, 543, 2451, 856, 780, 3719, 1287, 267, 8797, 2025, 26449, 6045, 547, 3025, 602, 711, 782, 8477, 616, 3160, 282, 930, 3536, 1683, 1732, 1648, 2959, 982, 1866, 269, 4634, 1498, 717, 2088, 1185, 811, 8477, 267, 1352, 4769, 1405, 2709, 1454, 1648, 610, 1898, 8324, 899, 4236, 9857, 1705, 269, 2991, 1620, 713, 3407, 3992, 267, 16764, 8120, 547, 25747, 521, 6235, 741, 5172, 10425, 1510, 10385, 269, 1656, 865, 267, 938, 9661, 11414, 721, 602, 3006, 8273, 2338, 1810, 1405, 2141, 1611, 8338, 4093, 1107, 649, 1590, 2015, 2796, 1932, 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, 22081, 1082, 8477, 616, 538, 513, 7674, 540, 10538, 10433, 3379, 547, 18812, 10433, 888, 763, 1297, 540, 8477, 538, 513, 7674, 540, 10538, 10433, 3379, 547, 18812, 10433, 5673, 593, 519, 7674, 2450, 543, 6216, 540, 519, 10433, 269, 2201, 3328, 267, 513, 7484, 630, 279, 13728, 264, 540, 10538, 10433, 3568, 827, 476, 6344, 268, 9610, 8477, 267, 1247, 513, 7484, 540, 18812, 10433, 3568, 827, 476, 5611, 268, 10204, 8477, 269, 1717, 267, 621, 781, 1271, 547, 2638, 519, 6484, 6003, 540, 519, 1808, 6216, 540, 10433, 596, 616, 10438, 547, 3313, 519, 3169, 17811, 1293, 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, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1805, 9792, 1919, 4755, 1169, 5662, 267, 616, 596, 711, 538, 993, 10270, 618, 286, 15213, 543, 3903, 568, 2390, 1480, 7919, 563, 9213, 267, 519, 2165, 4638, 10066, 814, 1831, 1455, 269, 898, 4016, 547, 513, 1268, 779, 3929, 267, 11509, 267, 543, 4638, 16007, 547, 2043, 540, 513, 1880, 4008, 2436, 5256, 610, 4775, 610, 1312, 563, 5278, 2043, 540, 2901, 4008, 630, 332, 1446, 610, 4775, 264, 723, 693, 930, 1448, 2219, 540, 2933, 607, 1373, 3501, 538, 519, 6587, 3023, 1533, 607, 3379, 547, 1018, 789, 941, 2965, 2813, 547, 581, 563, 1103, 1034, 2665, 2367, 1689, 741, 2168, 5920, 543, 1256, 741, 5639, 547, 2408, 543, 3280, 899, 2021, 543, 642, 1047, 17930, 563, 24404, 787, 4258, 321, 564, 568, 513, 476, 2537, 4458, 6040, 2875, 693, 4446, 26293, 2160, 538, 15057, 267, 945, 568, 3362, 4857, 676, 21046, 607, 513, 5256, 1317, 1352, 2141, 15211, 609, 2367, 267, 32293, 899, 2367, 267, 4249, 13558, 609, 2367, 543, 950, 782, 21031, 786, 581, 11112, 2879, 1681, 693, 28813, 1352, 786, 1869, 581, 25805, 10004, 1154, 609, 2048, 325, 3641, 2367, 685, 538, 519, 2875, 8998, 5885, 1488, 11420, 531, 1996, 2494, 2136, 563, 2791, 1413, 693, 1200, 543, 596, 666, 1406, 1256, 1294, 1200, 28244, 282, 1352, 15991, 31273, 513, 10571, 267, 855, 568, 2141, 538, 2462, 1279, 5538, 338, 619, 799, 1118, 621, 1256, 9875, 585, 1004, 547, 2697, 1200, 607, 513, 4807, 269, 2701, 814, 12183, 24887, 9887, 2048, 293, 629, 3419, 553, 685, 799, 568, 513, 24940, 2012, 563, 2691, 4280, 267, 1352, 3081, 1352, 27422, 1373, 5256, 982, 4775, 269, 1306, 1454, 607, 621, 568, 7793, 4328, 585, 1082, 4258, 321, 564, 21593, 1200, 1533, 540, 2247, 543, 3006, 708, 527, 919, 6158, 899, 2367, 2507, 1018, 513, 1689, 2336, 1607, 1522, 3280, 9490, 855, 713, 568, 1152, 835, 2013, 856, 540, 1082, 269, 769, 824, 2665, 930, 2367, 723, 6068, 547, 1831, 2021, 267, 789, 723, 4625, 4957, 741, 688, 1009, 1803, 267, 789, 5957, 17539, 282, 1274, 337, 902, 267, 8405, 331, 2167, 267, 4019, 9067, 22496, 543, 849, 2322, 593, 2021, 779, 9660, 2336, 1607, 6521, 538, 4638, 10066, 1223, 581, 513, 1267, 540, 3310, 689, 519, 6587, 3023, 610, 1759, 593, 513, 2123, 3375, 547, 2661, 602, 1259, 563, 1607, 2623, 568, 1631, 1455, 538, 1978, 7239, 602, 789, 723, 4121, 547, 2661, 609, 621, 282, 2705, 267, 538, 1034, 3979, 4529, 621, 568, 28715, 543, 30849, 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 ]
[ 0, 19447, 10498, 306, 11123, 918, 10680, 454, 288, 4959, 11123, 645, 7417, 454, 1432, 4484, 1281, 519, 2262, 13520, 1376, 609, 888, 2252, 596, 1767, 834, 289, 257, 596, 2811, 1318, 910, 538, 2296, 2336, 3719, 538, 1082, 267, 1082, 4654, 267, 621, 2965, 6238, 609, 589, 563, 289, 2465, 568, 1323, 19476, 538, 16384, 2692, 2676, 288, 600, 5622, 538, 744, 329, 756, 933, 2676, 6781, 601, 3873, 538, 14082, 563, 4517, 589, 686, 538, 15349, 563, 290, 727, 543, 2263, 519, 32154, 7648, 538, 519, 2081, 649, 2911, 827, 5432, 1919, 267, 19618, 543, 25139, 998, 31130, 1261, 1188, 781, 3750, 2275, 10248, 267, 8642, 15072, 4580, 3877, 543, 6456, 4484, 13257, 563, 289, 4488, 26041, 589, 674, 6020, 21715, 6730, 645, 2894, 9128, 3951, 24505, 9215, 910, 1789, 260, 20591, 4596, 7419, 307, 563, 4415, 707, 6718, 596, 2047, 1489, 519, 7467, 540, 20676, 19631, 3203, 543, 922, 5692, 563, 736, 3852, 356, 476, 2767, 4699, 454, 28765, 21598, 3198, 298, 8121, 6224, 3951, 17614, 1923, 717, 12767, 298, 11581, 296, 3582, 454, 4029, 4699, 1535, 476, 2190, 4699, 454, 15578, 17834, 27516, 6730, 631, 4696, 4456, 700, 7417, 454, 2641, 6398, 476, 3066, 4699 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7316, 568, 519, 7508, 835, 13362, 8096, 267, 594, 914, 15939, 8627, 26042, 2791, 4682, 547, 513, 13962, 609, 1079, 2828, 547, 3548, 269, 634, 3915, 3357, 729, 8096, 4037, 269, 1924, 596, 4956, 547, 3565, 8449, 585, 3915, 2179, 543, 6976, 8096, 1839, 1142, 780, 1492, 3649, 3438, 3357, 1394, 543, 8120, 8096, 276, 607, 519, 8227, 5795, 10958, 269, 1411, 4956, 547, 2285, 8096, 273, 547, 3649, 3438, 585, 1010, 19969, 269, 1656, 3838, 1964, 540, 519, 1614, 9489, 1142, 269, 1924, 3803, 2179, 1142, 1614, 540, 596, 6976, 568, 8096, 2190, 780, 3086, 950, 596, 1205, 1394, 1753, 543, 7229, 1287, 835, 13362, 729, 7508, 563, 7661, 6976, 476, 2190, 266, 2190, 266, 2190, 815, 476, 7761, 454, 310, 320, 3438, 9133, 8096, 273, 865, 476, 7761, 266, 273, 815, 476, 10619, 454, 22873, 6053, 6976, 8096, 4037, 910, 6368, 6976, 8096, 10619, 815, 8096, 272, 692, 8489, 568, 519, 7508, 13362, 8854, 2496, 17098, 575, 6162, 267, 1141, 616, 596, 269, 2052, 1405, 596, 4194, 713, 9814, 1862, 700, 565, 269, 6902, 268, 2020, 271, 347, 271, 692, 1892, 27016, 269, 1358, 1142, 7620, 6976, 476, 1839, 315, 14204, 3383, 602, 1797, 547, 3382, 513, 476, 4037, 15478, 7594, 789, 6170, 476, 4037, 268, 1839, 268, 1839, 268, 1839, 284, 271, 454, 10190, 789, 1205, 476, 276, 15478, 855, 2285, 1079, 2476, 585, 519, 3649, 3438, 563, 3383, 602, 1797, 1631, 1142, 814, 476, 274, 15478, 780, 2467, 616, 1100, 9489, 7508, 780, 273, 347, 271, 454, 271, 347, 271, 454, 1892, 2608, 3086, 1142, 814, 476, 272, 269, 3502, 476, 274, 267, 20994, 780, 1892, 8058, 2353, 454, 1892, 594, 723, 2219, 621, 936, 269, 594, 1256, 4280, 513, 3659, 945, 568, 1732, 693, 2979, 982, 596, 610, 594, 543, 1352, 849, 23216, 602, 707, 4661, 568, 513, 9266, 2887, 2329, 543, 602, 972, 568, 1100, 7508, 1297, 780, 1892, 15528, 1287, 594, 2463, 707, 3659, 543, 596, 607, 1134, 32473, 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 ]
[ 0, 14722, 723, 2919, 6915, 659, 15064, 8446, 2029, 267, 799, 2636, 596, 547, 2697, 513, 1268, 779, 7209, 593, 519, 3280, 540, 519, 1560, 607, 10502, 607, 519, 9416, 21646, 540, 519, 11263, 543, 519, 32640, 563, 10376, 3280, 602, 649, 5873, 814, 513, 2189, 15040, 2404, 609, 875, 621, 729, 2813, 543, 998, 799, 3615, 1010, 6329, 5293, 269, 4475, 267, 513, 1895, 540, 3173, 4956, 547, 2263, 2436, 2189, 6915, 659, 15064, 22782, 2813, 1282, 519, 8574, 540, 3280, 6329, 998, 1004, 267, 1031, 547, 2697, 873, 563, 763, 1979, 6248, 1062, 2919, 676, 519, 3162, 11114, 11418, 543, 26313, 2319, 3096, 513, 20303, 547, 5352, 21513, 602, 1780, 998, 513, 1978, 851, 540, 519, 1560, 267, 585, 1383, 267, 513, 9416, 269, 2991, 519, 3280, 6329, 5293, 998, 519, 2960, 267, 7633, 543, 824, 17234, 267, 519, 9300, 11887, 741, 2189, 6915, 659, 15064, 15040, 563, 763, 1935, 568, 3833, 2500, 547, 10646, 519, 1114, 11263, 540, 835, 1688, 269, 901, 1797, 602, 585, 17452, 267, 513, 1268, 1590, 946, 519, 1482, 9416, 602, 729, 8385, 9916, 269, 12207, 849, 1336, 602, 519, 1480, 6915, 659, 2880, 19706, 4806, 7283, 936, 942, 267, 5103, 519, 3586, 21130, 540, 519, 1591, 2281, 563, 7212, 519, 6482, 540, 17974, 21513, 568, 3833, 4977, 267, 855, 1869, 17071, 547, 519, 1377, 540, 31937, 2079, 610, 32640, 269, 4475, 267, 538, 519, 2104, 267, 519, 4971, 4566, 547, 2087, 519, 1062, 1210, 3606, 8596, 269, 1717, 267, 789, 616, 2907, 1565, 875, 547, 5010, 1125, 2029, 538, 11436, 543, 28707, 3457, 563, 11101, 267, 519, 4480, 23607, 519, 17234, 865, 8308, 602, 519, 2319, 3459, 547, 1413, 585, 2081, 547, 4019, 621, 547, 13209, 3676, 540, 519, 30273, 1062, 563, 1103, 1840, 547, 1004, 267, 609, 519, 948, 540, 3280, 596, 666, 2697, 1022, 824, 3615, 267, 543, 538, 4999, 609, 3684, 1565, 621, 10741, 454, 2690, 519, 1646, 540, 519, 12324, 267, 707, 1489, 568, 1271, 547, 721, 267, 24049, 547, 519, 8756, 543, 2322, 519, 8152, 330, 625, 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 ]
[ 0, 10907, 1258, 344, 916, 602, 2270, 519, 2165, 4065, 454, 1432, 1281, 4065, 1611, 286, 901, 2985, 568, 827, 519, 1585, 2009, 10096, 540, 519, 27099, 267, 28008, 267, 695, 2180, 663, 610, 27325, 2165, 281, 4065, 563, 10890, 4065, 7010, 267, 5549, 563, 295, 27941, 4065, 8081, 19541, 454, 7049, 2045, 4065, 585, 7111, 4892, 454, 29261, 18964, 589, 4168, 4065, 454, 306, 920, 2287, 585, 9839, 31105, 10644, 543, 4065, 454, 303, 24411, 8249, 585, 4065, 28968, 454, 18404, 15844, 4065, 543, 9751, 7896, 454, 19894, 4065, 19541, 454, 13233, 4659, 540, 4065, 454, 14367, 13732, 4841, 585, 14451, 4065, 454, 32153, 4065, 8249, 543, 10985, 7896, 454, 4942, 1301, 11914, 4065, 543, 3194, 4659, 454, 17220, 5980, 585, 6355, 4065, 454, 22492, 4065, 5149, 454, 18693, 2674, 3011, 1005, 9751, 543, 4065, 4741, 454, 301, 13086, 7177, 4065, 3194, 454, 17764, 1470, 12780, 585, 7913, 4065, 454, 19733, 4886, 4741, 454, 23430, 540, 4065, 267, 3163, 267, 543, 9751, 454, 300, 1695, 541, 30773, 3557, 8274, 540, 18520, 543, 14451, 18520, 4065, 454, 13233, 4065, 3194, 19937, 454, 17315, 8736, 10456, 20010, 4065, 5358, 454, 16498, 4065, 11683, 1576, 454, 16498, 4065, 20727, 832, 543, 3687, 832, 11833, 454, 307, 516, 2738, 538, 4065, 5839, 549, 25824, 2209, 7797, 454, 1432, 1281, 4065, 1611, 888, 268, 519, 957, 610, 1184, 540, 18836, 532, 610, 16565, 2489, 1702, 543, 540, 3384, 519, 7060, 540, 7744, 543, 10385, 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 ]
[ 0, 272, 269, 12361, 13106, 517, 5436, 5178, 529, 692, 4131, 4399, 6234, 645, 259, 581, 513, 4399, 6234, 562, 343, 333, 259, 5119, 543, 4399, 6234, 966, 18155, 14433, 348, 815, 28381, 341, 1422, 514, 1422, 13992, 346, 290, 11892, 333, 2433, 645, 341, 7807, 14433, 642, 315, 23201, 2913, 4399, 6234, 1422, 346, 324, 318, 272, 23373, 14433, 2073, 324, 318, 273, 23373, 14433, 267, 3267, 2073, 324, 3709, 330, 7268, 14433, 264, 11892, 315, 14433, 315, 4151, 581, 606, 9647, 517, 5436, 4493, 585, 4399, 6234, 966, 29192, 14433, 259, 9967, 540, 14802, 27523, 585, 4399, 6234, 595, 29192, 14433, 259, 2073, 1141, 7445, 6234, 595, 29192, 14433, 259, 568, 513, 1582, 14194, 329, 2002, 5276, 7004, 593, 4399, 6234, 966, 29192, 14433, 259, 563, 3682, 557, 602, 4399, 6234, 1422, 346, 324, 10983, 23373, 14433, 2433, 1422, 14433, 259, 568, 606, 14802, 7407, 585, 4399, 6234, 645, 259, 543, 4399, 6234, 476, 272, 315, 548, 1775, 315, 548, 737, 7268, 14433, 9385, 4151, 568, 606, 9647, 517, 5436, 4493, 585, 4399, 6234, 1422, 13992, 346, 290, 11892, 333, 16859, 273, 269, 4595, 649, 616, 2016, 602, 891, 10321, 616, 606, 9647, 517, 5436, 4493, 585, 4399, 6234, 966, 29192, 14433, 259, 543, 649, 1616, 547, 6961, 621, 568, 606, 9647, 517, 5436, 4493, 585, 4399, 6234, 595, 18898, 8961, 621, 1131, 2408, 602, 649, 1175, 1616, 547, 6961, 602, 4399, 6234, 966, 29192, 14433, 284, 595, 18898, 10608, 8682, 7755, 2002, 14759, 723, 1896, 8799, 1697, 885, 602, 596, 1131, 1616, 547, 6961, 1101, 267, 952, 596, 10093, 1405, 2907, 912, 5472, 27744, 616, 1483, 563, 2252, 579, 543, 642, 616, 14802, 27523, 7222, 547, 3982, 27744, 267, 1287, 579, 543, 642, 616, 26667, 563, 2252, 4399, 6234, 1422, 346, 341, 318, 272, 267, 341, 318, 273, 267, 10371, 1421, 642, 10983, 315, 4151, 616, 14802, 27523, 543, 649, 6615, 519, 7004, 547, 519, 26667, 9148, 540, 519, 12732, 540, 4399, 6234, 1422, 346, 341, 318, 272, 267, 341, 318, 273, 267, 10371, 1421, 642, 10983, 315, 4151, 519, 19231, 568, 1869, 1582, 7755, 2002, 780, 6546, 1259, 267, 649, 666, 1376, 609, 835, 14802, 19066, 267, 519, 1964, 1112, 6000, 547, 519, 26667, 9148, 540, 922, 12732, 267, 1265, 513, 2034, 14802, 19066, 267, 3092, 269, 2334, 1259, 596, 1058, 581, 2111, 547, 1397, 602, 972, 616, 267, 538, 1249, 267, 562, 4830, 14802, 27523, 543, 865, 4399, 6234, 966, 29192, 14433, 284, 595, 18898, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 3892, 609, 519, 533, 6155, 8807, 269, 535, 630, 1535, 3738, 815, 476, 274, 1315, 1535, 476, 275, 2073, 1535, 3436, 476, 272, 269, 2913, 962, 737, 815, 737, 555, 10545, 540, 2473, 476, 272, 2073, 2473, 476, 273, 2073, 2073, 2473, 562, 1547, 513, 264, 4855, 623, 630, 962, 476, 275, 2999, 476, 272, 269, 4037, 3738, 815, 623, 630, 3193, 2473, 1775, 2999, 476, 272, 269, 4037, 15426, 536, 264, 4855, 623, 630, 962, 476, 275, 3436, 476, 273, 3738, 815, 623, 630, 3193, 2473, 1775, 3436, 476, 273, 15426, 524, 264, 4855, 623, 630, 962, 476, 272, 3436, 476, 272, 269, 1839, 3738, 815, 623, 630, 1295, 2473, 1775, 3436, 476, 272, 269, 1839, 15426, 546, 264, 4855, 623, 630, 476, 272, 269, 272, 2999, 962, 476, 272, 2999, 476, 272, 269, 273, 3738, 815, 623, 630, 476, 272, 269, 272, 2999, 1295, 2473, 1775, 2999, 476, 272, 269, 273, 15426, 552, 264, 4855, 623, 630, 476, 272, 269, 272, 2999, 962, 476, 273, 2999, 476, 272, 269, 273, 15426, 476, 273, 269, 2913, 2473, 476, 272, 2073, 2473, 476, 273, 2073, 2073, 2473, 562, 581, 513, 4351, 3732, 630, 1775, 269, 328, 6155, 269, 3738, 689, 31538, 630, 2073, 513, 3738, 5506, 3892, 269, 2913, 962, 737, 815, 737, 555, 10545, 540, 2473, 476, 272, 2073, 2473, 476, 273, 2073, 2073, 2473, 562, 1547, 4855, 661, 630, 962, 737, 15426, 476, 274, 269, 2913, 2473, 1775, 581, 606, 5890, 11228, 630, 1775, 3738, 4351, 4756, 267, 1775, 815, 476, 272, 267, 476, 273, 267, 2073, 562, 1547, 14597, 2473, 476, 272, 2073, 2473, 476, 273, 2073, 2073, 2473, 562, 616, 4830, 269, 4855, 519, 5506, 3892, 540, 1295, 2473, 1775, 3267, 563, 8698, 9509, 11657, 454, 268, 14400, 1412, 5400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12867, 538, 519, 13814, 3370, 513, 14634, 1353, 538, 5113, 4139, 267, 20392, 513, 1007, 1505, 540, 7421, 1973, 547, 3713, 2890, 680, 10415, 269, 4934, 540, 519, 476, 2420, 2635, 13538, 267, 2890, 27415, 5533, 814, 1044, 9571, 538, 519, 1973, 540, 3592, 476, 3199, 260, 540, 873, 269, 24093, 585, 938, 1072, 543, 2081, 547, 2057, 2890, 27415, 786, 581, 11567, 538, 713, 4062, 563, 20524, 519, 17855, 540, 18637, 686, 16279, 267, 3310, 584, 543, 9375, 269, 2701, 8843, 609, 721, 1200, 5075, 607, 513, 1762, 3039, 544, 636, 2336, 20524, 519, 17855, 540, 1546, 4011, 1695, 267, 6931, 2091, 552, 6879, 641, 543, 2278, 540, 8614, 2725, 1234, 12860, 269, 2701, 8843, 609, 721, 1200, 5075, 540, 513, 3039, 7082, 2336, 31917, 1715, 5729, 476, 1708, 273, 256, 1411, 1118, 21368, 286, 3371, 616, 476, 276, 21368, 602, 616, 2653, 547, 2936, 543, 10357, 7888, 2336, 1692, 547, 22120, 538, 519, 19880, 286, 7316, 547, 2322, 938, 8737, 2472, 286, 1656, 1018, 827, 519, 3283, 649, 1810, 1405, 946, 15042, 286, 1234, 2224, 267, 22120, 610, 12235, 2476, 281, 649, 2995, 596, 3388, 2336, 2005, 568, 513, 7168, 1455, 23972, 602, 1223, 2490, 856, 547, 581, 5963, 5906, 269, 4340, 547, 513, 1353, 3370, 538, 5181, 538, 519, 4139, 4750, 540, 17449, 7070, 267, 519, 7368, 946, 540, 25316, 619, 2869, 1218, 1223, 9594, 6089, 2860, 269, 2913, 779, 1232, 7973, 621, 2336, 4131, 781, 834, 26572, 1581, 330, 257, 609, 31410, 267, 17082, 540, 1250, 331, 559, 24618, 269, 1261, 786, 3717, 827, 1010, 8733, 5912, 543, 7029, 563, 12441, 596, 917, 602, 1455, 28052, 757, 941, 1360, 6757, 286, 898, 781, 942, 547, 2119, 2067, 3283, 2336, 292, 1723, 6003, 267, 24501, 281, 1018, 781, 3297, 891, 562, 600, 902, 888, 12606, 938, 16551, 454, 12606, 938, 2046, 3640, 454, 12606, 938, 3919, 779, 1102, 2762, 454, 23536, 10042, 268, 16215, 4599, 289, 517, 652, 571, 520, 476, 9083, 289, 268, 9262, 277, 271, 2725, 2544, 2041, 651, 14582, 17753, 454, 31319, 690, 5875, 773, 3040, 11525, 10042, 268, 16215, 4599, 1107, 966, 2969, 281, 18688, 271, 5655, 30697, 26783, 278, 1107, 17791, 7483, 281, 1341, 3953, 476, 5392, 274, 476, 4391, 476, 5325, 476, 6734 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3519, 3200, 17254, 320, 615, 16379, 547, 608, 320, 615, 16379, 454, 15675, 539, 7121, 281, 4908, 543, 16070, 4908, 563, 14240, 543, 3877, 585, 17254, 320, 615, 16379, 912, 294, 27004, 615, 16379, 630, 294, 13703, 264, 568, 513, 1455, 1770, 540, 4908, 3160, 547, 476, 11820, 21636, 269, 6168, 476, 273, 269, 275, 717, 13703, 568, 519, 4908, 799, 946, 17196, 9065, 839, 267, 29942, 29135, 338, 543, 10260, 1652, 11436, 630, 11034, 532, 538, 476, 1960, 279, 1916, 14240, 543, 3877, 585, 608, 320, 615, 16379, 912, 2750, 320, 615, 16379, 630, 292, 13703, 264, 568, 513, 1770, 540, 4908, 3160, 547, 476, 6200, 279, 21636, 269, 1280, 1383, 5982, 609, 4908, 3152, 982, 476, 4968, 661, 13703, 616, 18325, 12345, 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 ]
[ 0, 1012, 26344, 5852, 630, 1015, 628, 9990, 2020, 259, 343, 284, 1015, 14204, 272, 269, 22731, 3830, 4399, 2765, 346, 1428, 2410, 3393, 18098, 2765, 12757, 2410, 1789, 4151, 476, 273, 269, 22217, 1518, 4399, 2765, 346, 272, 2410, 274, 18098, 2765, 12757, 2410, 1789, 4151, 476, 274, 269, 16534, 585, 1535, 1269, 274, 343, 284, 1789, 259, 1269, 343, 284, 1015, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5715, 1311, 20970, 9828, 454, 292, 12915, 17603, 2263, 1614, 1114, 9940, 6482, 2553, 538, 713, 3992, 602, 1331, 1210, 20224, 543, 2035, 540, 16726, 267, 1210, 19141, 547, 1294, 10630, 2592, 543, 7311, 2035, 540, 16726, 547, 1346, 2592, 563, 275, 14358, 476, 277, 20042, 454, 1432, 779, 513, 12384, 14272, 7102, 3118, 286, 700, 11691, 4934, 519, 5071, 4643, 454, 290, 548, 591, 256, 19893, 1810, 4009, 20356, 21312, 10887, 547, 1665, 856, 519, 4764, 4677, 4729, 602, 789, 723, 6170, 519, 2063, 1906, 4374, 8888, 269, 1280, 713, 1259, 267, 789, 616, 8026, 4336, 9781, 607, 1134, 256, 8074, 602, 713, 3992, 568, 851, 540, 513, 1770, 31972, 274, 6113, 910, 476, 1321, 628, 4569, 18938, 281, 24623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 297, 15121, 301, 645, 16787, 5308, 296, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 808, 15121, 301, 645, 16787, 5308, 296, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 454, 10907, 928, 5175, 3258, 529, 269, 16503, 1674, 540, 513, 3296, 998, 519, 1480, 2960, 267, 6029, 513, 3109, 3650, 533, 755, 2544, 538, 519, 2783, 540, 18383, 269, 2311, 5580, 8998, 568, 513, 23128, 11294, 11690, 630, 18872, 1070, 543, 9944, 621, 568, 694, 321, 636, 630, 344, 3641, 264, 16290, 9944, 519, 11690, 8108, 513, 6659, 533, 755, 2544, 269, 589, 4552, 21155, 548, 568, 2938, 630, 12294, 2451, 264, 1299, 606, 8362, 9658, 1154, 694, 321, 17675, 14189, 630, 12294, 1318, 1040, 3600, 928, 568, 513, 2489, 2012, 2016, 547, 513, 2960, 4524, 538, 799, 519, 694, 321, 17675, 15374, 1831, 28332, 1299, 29572, 539, 269, 634, 1034, 1455, 1106, 267, 3600, 928, 5175, 3258, 529, 267, 4386, 538, 18273, 543, 568, 1813, 547, 936, 13808, 540, 519, 694, 321, 17675, 15374, 269, 623, 755, 2737, 2049, 593, 519, 3068, 267, 9221, 543, 1394, 269, 2859, 4049, 267, 5312, 18383, 2164, 538, 7783, 30219, 543, 1085, 18732, 540, 519, 2960, 563, 26329, 5305, 711, 2838, 269, 16296, 5305, 711, 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 ]
[ 0, 258, 3848, 476, 276, 910, 12430, 12793, 910, 476, 276, 268, 273, 6034, 7352, 566, 910, 6657, 543, 9046, 4149, 6295, 20113, 910, 8525, 476, 29574, 281, 476, 6078, 692, 763, 2875, 568, 4636, 1317, 519, 1449, 646, 568, 5340, 568, 11234, 780, 2971, 4518, 5153, 676, 5153, 692, 763, 2875, 2306, 606, 5470, 1317, 621, 1281, 711, 2339, 875, 1142, 1535, 11282, 4679, 543, 875, 1142, 586, 11282, 4679, 269, 1548, 6927, 568, 519, 32311, 540, 4399, 2765, 26635, 2410, 343, 23201, 1403, 602, 32311, 568, 3586, 585, 1142, 1535, 18396, 15453, 543, 922, 9757, 586, 18396, 15453, 267, 1287, 649, 666, 17429, 576, 602, 519, 1599, 568, 513, 1463, 8390, 269, 769, 713, 9183, 267, 13071, 946, 713, 1449, 547, 1294, 952, 519, 678, 725, 616, 3586, 281, 476, 274, 270, 271, 284, 1495, 18249, 476, 275, 270, 272, 284, 275, 476, 276, 270, 273, 284, 273, 269, 276, 4595, 267, 834, 1495, 18249, 257, 4399, 928, 259, 476, 275, 4399, 928, 259, 476, 273, 269, 276, 267, 649, 666, 17429, 576, 602, 713, 1599, 568, 711, 513, 1463, 8390, 780, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 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 ]
[ 0, 9223, 281, 5808, 5206, 519, 2575, 585, 519, 476, 1960, 274, 4670, 634, 623, 10730, 888, 12585, 281, 7812, 27526, 2006, 454, 2704, 328, 1162, 281, 7812, 27526, 2006, 267, 7812, 19846, 1338, 27526, 2006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2237, 513, 1599, 602, 267, 2016, 513, 5569, 540, 1257, 630, 335, 1601, 4601, 609, 18685, 543, 1899, 22249, 6545, 1070, 7024, 606, 5044, 540, 519, 1283, 268, 274, 1034, 9648, 1913, 267, 538, 27312, 1931, 540, 519, 1297, 540, 20825, 563, 10112, 636, 6877, 1384, 825, 589, 2262, 568, 513, 5569, 540, 5022, 630, 288, 547, 2098, 264, 4781, 958, 5627, 835, 610, 811, 19980, 1886, 1127, 630, 10807, 538, 32412, 2862, 269, 630, 5591, 991, 547, 6023, 16681, 18685, 8094, 825, 4223, 2583, 1058, 581, 2013, 15564, 17567, 267, 543, 519, 1913, 538, 519, 1267, 1058, 581, 2539, 322, 1078, 563, 825, 570, 625, 949, 581, 7745, 11737, 337, 3320, 563, 825, 1403, 513, 1257, 3568, 7864, 982, 1614, 2189, 1913, 267, 1287, 2901, 519, 1283, 268, 273, 610, 1283, 268, 272, 1913, 1058, 581, 8120, 267, 610, 606, 8900, 5044, 952, 513, 1257, 3568, 1100, 1913, 780, 14300, 1384, 9008, 318, 274, 318, 6919, 2891, 1103, 513, 8498, 540, 5487, 2494, 15939, 267, 519, 2012, 540, 799, 594, 723, 1100, 7287, 547, 1289, 547, 454, 332, 785, 267, 972, 5030, 711, 1279, 2094, 835, 540, 1346, 9543, 5443, 602, 1832, 513, 561, 766, 454, 514, 519, 561, 766, 268, 571, 1188, 267, 606, 2025, 11369, 2401, 267, 513, 10709, 11360, 267, 543, 513, 15454, 327, 895, 585, 454, 322, 2293, 532, 269, 1323, 522, 12848, 540, 2864, 811, 14132, 982, 4573, 2023, 267, 513, 19997, 593, 1034, 454, 333, 2074, 267, 29578, 593, 590, 4405, 17058, 267, 21378, 2812, 593, 2605, 12156, 267, 543, 513, 25190, 517, 610, 865, 3063, 454, 517, 9530, 904, 267, 1500, 2476, 609, 1614, 6709, 11467, 540, 1010, 4747, 23528, 258, 18092, 22373, 320, 2580, 834, 1993, 2580, 834, 517, 257, 6540, 9008, 318, 274, 318, 6919, 2891, 324, 552, 552, 552, 667, 24884, 546, 9536, 667, 323, 291, 281, 546, 9536, 546, 9536, 513, 320, 513, 288, 589, 320, 267, 536, 321, 524, 322, 524, 290, 552, 552, 552, 5602, 258, 18092, 22373, 324, 2580, 834, 9536, 323, 2580, 834, 12711, 257, 6540, 9008, 318, 274, 318, 6919, 2891, 476, 12262, 342, 2632, 4465, 1405, 4465, 1405, 5602, 258, 18092, 22373, 342, 517, 1405, 2580, 834, 342, 2632, 257, 6540, 289, 517, 639, 2798, 630, 2254, 2731, 267, 855, 1175, 585, 1187, 17107, 825, 3680, 2870, 606, 5044, 4171, 3965, 11640, 568, 10199, 607, 2462, 607, 519, 3403, 1257, 563, 825, 3680, 18570, 519, 3003, 5044, 540, 2189, 1913, 563, 692, 20701, 454, 3698, 1283, 318, 274, 318, 6919, 29495, 2187, 825, 585, 1775, 538, 1257, 912, 1038, 952, 630, 2254, 1775, 18994, 10401, 28829, 543, 630, 328, 11203, 834, 262, 257, 2187, 2018, 1257, 815, 1257, 18622, 2897, 9217, 267, 834, 19515, 825, 1247, 834, 15234, 257, 538, 1257, 281, 476, 1257, 815, 1257, 18622, 2897, 2891, 15234, 2580, 834, 19515, 825, 952, 834, 1412, 834, 538, 1257, 281, 1257, 815, 1257, 18622, 2897, 2891, 1412, 14307, 834, 19515, 825, 32102, 815, 1257, 31573, 14061, 20889, 4590, 825, 952, 711, 32102, 912, 1038, 2132, 11713, 825, 1034, 815, 3193, 263, 3553, 10857, 560, 1070, 1883, 284, 331, 560, 29644, 994, 825, 952, 7003, 263, 3553, 10857, 560, 4297, 2999, 476, 273, 912, 1038, 2132, 1496, 2865, 2639, 825, 2034, 815, 3193, 263, 3553, 10857, 560, 9984, 3553, 8443, 2865, 25818, 1883, 284, 331, 560, 29644, 994, 825, 952, 7003, 263, 3553, 10857, 560, 4297, 2999, 476, 274, 912, 1038, 2132, 1496, 2865, 267, 2034, 2639, 825, 3791, 815, 3193, 263, 3553, 10857, 560, 9984, 3553, 8443, 2865, 267, 2034, 25818, 1883, 284, 331, 560, 29644, 994, 825, 2132, 1496, 2865, 267, 2034, 267, 3791, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17345, 13517, 543, 20505, 454, 3963, 798, 649, 798, 1018, 649, 798, 286, 1548, 2188, 1404, 513, 1909, 538, 5935, 938, 7209, 286, 1548, 6211, 267, 5626, 543, 1514, 2609, 948, 547, 19022, 513, 1268, 779, 5626, 267, 3929, 267, 543, 5837, 1915, 286, 1548, 666, 649, 798, 827, 873, 286, 769, 713, 1576, 267, 649, 4983, 19506, 2090, 602, 695, 809, 3044, 4978, 827, 1480, 2470, 269, 1635, 7421, 891, 2090, 538, 741, 8658, 267, 649, 2263, 741, 3310, 593, 4207, 5784, 827, 3425, 543, 2486, 269, 769, 1840, 547, 5935, 938, 5784, 827, 519, 1480, 2247, 543, 2623, 267, 1082, 540, 891, 2090, 849, 1185, 606, 1764, 593, 519, 26381, 1670, 543, 5683, 7355, 1031, 676, 519, 3621, 2146, 543, 6626, 2486, 547, 6430, 1018, 12523, 607, 1434, 2257, 269, 4935, 267, 649, 786, 849, 4983, 9687, 5784, 827, 3621, 14374, 281, 1215, 723, 2093, 827, 1018, 12523, 607, 1434, 2257, 4957, 888, 1103, 713, 1576, 267, 596, 786, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12201, 284, 9131, 577, 600, 3588, 3299, 6321, 267, 7176, 267, 4097, 267, 10602, 267, 6434, 267, 7367, 267, 736, 267, 4366, 267, 8287, 267, 10602, 2639, 4067, 284, 9131, 2026, 327, 1731, 12887, 298, 600, 531, 12887, 28139, 12887, 297, 25301, 12887, 300, 582, 514, 12887, 300, 3326, 11986, 12887, 297, 18223, 12887, 302, 3405, 12887, 298, 14575, 12887, 17682, 549, 345, 23300, 1721, 1775, 538, 2039, 263, 271, 267, 1015, 2187, 825, 1820, 263, 12201, 5157, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18411, 763, 744, 8008, 2035, 689, 9226, 568, 3274, 25528, 609, 3427, 300, 1897, 540, 519, 1153, 269, 634, 1739, 744, 8008, 6240, 786, 581, 4988, 912, 272, 269, 4147, 454, 273, 269, 8629, 454, 274, 269, 769, 615, 13330, 454, 275, 269, 2717, 2096, 6973, 1143, 630, 12663, 3382, 1152, 6396, 936, 337, 4575, 994, 276, 269, 4578, 670, 4575, 454, 18257, 692, 5035, 3427, 300, 1897, 281, 14030, 17264, 1948, 11847, 637, 757, 1022, 1153, 4759, 563, 28768, 453, 1029, 12248, 284, 271, 454, 28768, 22592, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 453, 19677, 20508, 815, 2012, 454, 453, 19677, 269, 720, 815, 2085, 454, 453, 13537, 1412, 263, 22873, 658, 1242, 3427, 300, 1897, 281, 4939, 338, 264, 262, 4939, 1582, 20508, 454, 453, 453, 18662, 300, 1897, 14857, 12248, 23785, 272, 454, 28768, 22592, 2995, 4311, 2567, 14030, 17264, 1948, 307, 749, 1250, 3877, 563, 453, 13537, 1412, 11243, 281, 257, 260, 338, 257, 6520, 281, 257, 260, 338, 257, 262, 4939, 630, 1345, 20508, 267, 1582, 269, 720, 1070, 692, 22592, 2995, 18045, 4311, 2187, 453, 13537, 1412, 15575, 540, 1153, 332, 1897, 568, 22207, 18662, 300, 1897, 14857, 12248, 692, 5035, 11819, 263, 18662, 300, 1897, 2567, 4449, 7386, 1948, 11847, 637, 757, 513, 4116, 780, 22592, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 14057, 2187, 453, 453, 18662, 300, 1897, 14857, 8181, 9191, 1345, 267, 2012, 267, 2085, 994, 453, 19677, 4732, 531, 776, 815, 14057, 454, 453, 13537, 1412, 263, 22873, 658, 1242, 11819, 281, 4939, 338, 264, 262, 4939, 1582, 20508, 692, 22592, 2995, 4311, 2567, 14030, 17264, 1948, 1478, 337, 4575, 1505, 454, 453, 453, 18662, 300, 1897, 6745, 749, 4311, 994, 453, 13537, 1412, 21946, 776, 281, 834, 260, 323, 257, 262, 4939, 1582, 4732, 531, 776, 692, 5035, 9906, 263, 18662, 300, 1897, 2567, 4449, 7386, 1948, 11847, 637, 757, 513, 2875, 563, 22592, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 7436, 2187, 453, 453, 18662, 300, 1897, 14857, 8181, 9191, 1345, 267, 2012, 267, 2085, 994, 453, 19677, 269, 12201, 815, 7436, 454, 453, 13537, 1412, 263, 22873, 658, 1242, 9906, 281, 4939, 338, 264, 262, 4939, 1582, 20508, 454, 28768, 22592, 2995, 4311, 2187, 453, 453, 18662, 300, 1897, 6745, 749, 4311, 994, 453, 13537, 1412, 300, 10225, 281, 834, 260, 323, 257, 262, 4939, 1582, 269, 12201, 454, 28768, 22592, 16805, 4311, 267, 1278, 2567, 14030, 8587, 1948, 11847, 637, 757, 513, 3683, 2903, 532, 454, 4848, 454, 453, 14851, 1582, 269, 12201, 3436, 824, 269, 12201, 912, 4848, 13537, 1582, 20508, 10086, 529, 16805, 23511, 7055, 453, 28432, 912, 4848, 13537, 824, 20508, 10086, 529, 16805, 23511, 262, 7531, 339, 272, 284, 30108, 3488, 25721, 553, 30231, 3299, 2412, 267, 4968, 876, 994, 338, 272, 284, 22923, 3488, 29582, 3299, 736, 267, 3199, 994, 338, 273, 284, 22923, 3488, 15383, 345, 3299, 1839, 267, 3583, 2020, 338, 272, 269, 2145, 5034, 4433, 273, 2020, 332, 20047, 815, 1496, 339, 272, 267, 521, 272, 2639, 1721, 4759, 538, 2818, 912, 453, 332, 1897, 6745, 749, 3890, 14030, 25639, 1948, 1568, 585, 1312, 11334, 543, 4841, 692, 338, 273, 6745, 749, 18045, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12626, 269, 661, 22029, 269, 645, 6563, 532, 689, 3943, 14193, 15333, 790, 269, 25460, 10586, 314, 12575, 4940, 630, 20084, 264, 594, 5183, 281, 1315, 16745, 390, 488, 476, 16659, 330, 389, 496, 660, 389, 373, 389, 505, 27474, 263, 389, 373, 8358, 282, 630, 4785, 264, 594, 5183, 281, 1315, 334, 390, 488, 476, 391, 490, 330, 389, 495, 333, 16659, 339, 389, 373, 389, 505, 263, 16745, 264, 389, 373, 28918, 1520, 14620, 563, 31711, 14193, 15333, 790, 281, 593, 519, 14669, 5635, 512, 719, 14193, 15333, 790, 563, 879, 15333, 790, 267, 607, 594, 1265, 1250, 15210, 11515, 9800, 267, 621, 786, 581, 782, 519, 4443, 585, 1864, 547, 1397, 5128, 993, 4192, 2509, 803, 269, 589, 23826, 715, 629, 984, 631, 19653, 808, 330, 2967, 269, 834, 879, 15333, 790, 267, 594, 4429, 763, 4214, 540, 14193, 15333, 790, 568, 3943, 543, 1797, 547, 519, 14669, 267, 543, 621, 568, 513, 8360, 1031, 950, 2576, 568, 11234, 267, 4636, 610, 3081, 1945, 602, 568, 519, 4429, 879, 15333, 790, 630, 2129, 737, 517, 6874, 6938, 7644, 264, 10902, 269, 2201, 519, 14669, 269, 1496, 5804, 3943, 14193, 15333, 790, 630, 517, 519, 14669, 1040, 316, 2201, 519, 3068, 540, 621, 267, 972, 4667, 1100, 2601, 547, 4782, 14193, 15333, 790, 547, 4429, 22261, 476, 1704, 267, 476, 1001, 274, 3267, 634, 2879, 984, 321, 880, 3943, 1259, 547, 2161, 834, 517, 519, 14669, 2580, 799, 568, 519, 2879, 984, 321, 880, 2296, 1259, 547, 2161, 834, 337, 1430, 8487, 1103, 3943, 267, 14193, 15333, 790, 1797, 267, 12777, 267, 593, 519, 14669, 267, 543, 602, 781, 4010, 1018, 713, 10211, 8360, 1797, 538, 2296, 269, 898, 781, 1419, 1031, 547, 1611, 267, 10199, 267, 594, 1917, 547, 8428, 267, 4429, 13914, 621, 781, 2352, 547, 946, 713, 3943, 4082, 286, 30080, 15333, 790, 8206, 630, 3719, 798, 4585, 856, 585, 922, 7015, 267, 14193, 15333, 790, 1395, 9992, 27056, 8094, 31711, 14193, 15333, 790, 269, 14193, 15333, 790, 19655, 267, 14193, 15333, 790, 12332, 267, 14193, 15333, 790, 8144, 267, 2296, 8675, 4214, 540, 14193, 15333, 790, 269, 1443, 593, 519, 14669, 4429, 288, 340, 2552, 571, 790, 269, 3245, 901, 631, 697, 2142, 589, 26264, 3267, 5152, 2012, 267, 30080, 2552, 571, 790, 269, 7376, 267, 1358, 631, 697, 2142, 3267, 30080, 2552, 571, 790, 568, 4867, 19486, 1948, 3607, 274, 856, 540, 476, 279, 6078, 269, 630, 6924, 530, 1731, 2103, 723, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 269, 769, 5741, 476, 274, 649, 666, 1294, 602, 972, 616, 1082, 2147, 12730, 538, 519, 20008, 8183, 780, 1103, 1880, 10484, 18485, 5231, 18529, 28425, 296, 5231, 543, 5231, 18529, 5723, 296, 5231, 616, 476, 3607, 268, 7761, 268, 7761, 12730, 267, 865, 789, 616, 2147, 269, 1403, 649, 1577, 5231, 3642, 5231, 2099, 5231, 476, 272, 5231, 1770, 540, 3259, 267, 1287, 2094, 5231, 18529, 28425, 296, 5231, 568, 568, 30801, 267, 5231, 645, 293, 5231, 568, 849, 5231, 476, 272, 5231, 1770, 538, 3259, 269, 4595, 5231, 18529, 5723, 293, 5231, 568, 849, 568, 30801, 267, 5231, 19200, 5231, 568, 849, 5231, 476, 272, 5231, 1770, 538, 3259, 269, 2913, 5231, 1535, 5231, 20301, 519, 3259, 540, 5231, 674, 294, 269, 5231, 3973, 2094, 692, 24941, 28425, 296, 3980, 376, 18529, 289, 9590, 692, 933, 1205, 519, 1739, 5223, 543, 8167, 692, 6518, 568, 519, 4214, 540, 519, 1160, 15251, 540, 519, 13642, 6399, 780, 2414, 4194, 585, 5231, 1535, 267, 5231, 2312, 32159, 692, 343, 3287, 1341, 476, 272, 264, 815, 476, 272, 692, 7230, 913, 24324, 692, 343, 273, 1341, 1535, 815, 476, 272, 692, 9558, 2821, 692, 343, 273, 1341, 1535, 910, 476, 272, 815, 476, 271, 692, 528, 692, 2252, 649, 1491, 519, 2942, 4009, 3597, 267, 649, 786, 1205, 513, 2942, 2626, 267, 543, 2094, 5231, 1535, 5231, 568, 513, 3845, 267, 543, 9883, 616, 2760, 2942, 267, 649, 1590, 1611, 692, 8448, 8320, 540, 519, 8167, 540, 519, 11344, 1611, 538, 519, 20008, 8183, 1331, 692, 293, 297, 12458, 293, 692, 28425, 270, 5723, 692, 5723, 270, 3722, 692, 763, 12730, 2887, 883, 1079, 16726, 5049, 281, 519, 476, 3607, 268, 7761, 268, 7761, 12730, 543, 519, 476, 3607, 268, 3607, 268, 10482, 12730, 780, 24941, 28425, 297, 267, 5231, 18529, 5723, 294, 267, 5231, 543, 5231, 18529, 3722, 291, 5231, 616, 5231, 476, 3607, 268, 7761, 268, 7761, 12730, 780, 24941, 5723, 293, 5231, 543, 5231, 18529, 27398, 5231, 616, 5231, 476, 3607, 268, 3607, 268, 10482, 12730, 780, 13828, 2010, 616, 1572, 13642, 10222, 9201, 269, 1703, 616, 13977, 11344, 12730, 538, 513, 20008, 8183, 780, 9008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 540, 476, 279, 5999, 6192, 454, 2791, 723, 2907, 6192, 519, 7688, 1354, 269, 9747, 596, 666, 711, 1376, 621, 1586, 563, 5226, 714, 568, 15205, 7498, 2791, 1590, 1129, 538, 610, 1129, 909, 547, 1376, 519, 7688, 563, 2791, 1590, 1101, 2347, 519, 1739, 912, 271, 540, 476, 279, 5999, 12943, 7157, 454, 11742, 814, 1714, 17863, 454, 1103, 568, 30801, 6906, 13878, 267, 19110, 300, 543, 19110, 288, 616, 21412, 543, 544, 4501, 510, 307, 815, 476, 11025, 4113, 269, 1548, 568, 519, 2268, 540, 19110, 288, 286, 28557, 18823, 8091, 454, 1432, 568, 519, 3259, 267, 538, 6279, 267, 540, 519, 11667, 540, 519, 25671, 1355, 3254, 286, 28557, 18823, 8091, 454, 1103, 519, 6906, 3254, 267, 513, 1850, 568, 476, 1015, 892, 1279, 543, 922, 11105, 8650, 5086, 3800, 476, 10602, 4113, 269, 6168, 875, 1082, 6279, 1279, 568, 519, 30494, 888, 1432, 7787, 1297, 568, 28870, 1063, 476, 273, 270, 274, 543, 476, 278, 270, 280, 286, 28557, 18823, 8091, 454, 297, 820, 814, 519, 8464, 540, 476, 276, 540, 519, 476, 277, 4255, 646, 3576, 713, 19496, 538, 1010, 2979, 1362, 269, 1261, 814, 519, 1739, 8464, 281, 476, 10844, 267, 476, 5038, 267, 476, 10695, 267, 476, 8660, 267, 543, 476, 11011, 269, 1261, 3085, 1406, 3314, 1018, 646, 20639, 593, 519, 476, 277, 628, 1449, 855, 6487, 602, 1010, 3328, 593, 782, 476, 277, 4255, 729, 476, 272, 269, 279, 2798, 2539, 982, 1010, 3328, 593, 519, 1101, 476, 276, 4255, 269, 1548, 729, 1010, 476, 277, 628, 1449, 6060, 286, 28557, 18823, 8091, 454, 7617, 540, 519, 1739, 814, 519, 6574, 1871, 585, 782, 2418, 540, 544, 1141, 910, 272, 2999, 544, 2999, 476, 271, 286, 28557, 18823, 8091, 454, 314, 15239, 4211, 531, 1529, 1807, 7726, 316, 2201, 5988, 476, 275, 628, 267, 476, 1960, 280, 267, 972, 941, 476, 5197, 267, 1822, 9748, 540, 17885, 538, 513, 25087, 602, 1185, 513, 5021, 4390, 540, 476, 20065, 267, 1822, 9748, 269, 5272, 1032, 2094, 602, 4266, 267, 519, 2179, 540, 17885, 1767, 25087, 814, 2799, 676, 476, 279, 267, 1822, 9748, 269, 1403, 512, 4564, 519, 942, 267, 538, 1296, 267, 1310, 5988, 476, 275, 628, 267, 476, 1960, 280, 267, 799, 540, 519, 1739, 16526, 8308, 6257, 519, 1305, 540, 1296, 1141, 519, 25087, 568, 693, 610, 1657, 4390, 286, 28557, 18823, 8091, 454, 314, 15239, 4211, 531, 1529, 1807, 7726, 316, 1403, 519, 4082, 2630, 568, 17370, 9287, 538, 519, 1106, 513, 266, 6798, 267, 1141, 513, 543, 536, 616, 1483, 2338, 267, 1018, 568, 519, 1871, 540, 513, 286, 630, 16694, 1775, 815, 20734, 268, 272, 994, 263, 1428, 1107, 476, 274, 328, 19422, 273, 268, 274, 328, 264, 28557, 18823, 8091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3941, 540, 3115, 3174, 543, 7442, 558, 1460, 529, 454, 23044, 1359, 2371, 1246, 2901, 835, 540, 891, 1614, 21739, 1114, 12331, 540, 12093, 281, 630, 320, 264, 998, 3444, 1790, 3326, 3990, 5452, 267, 630, 321, 264, 1582, 1790, 3326, 3990, 5452, 543, 630, 322, 264, 513, 25757, 630, 557, 1326, 894, 264, 1797, 269, 25042, 540, 12093, 568, 513, 23801, 3815, 538, 22285, 532, 2551, 2497, 543, 12105, 1761, 269, 2353, 1614, 12331, 616, 1373, 1031, 676, 21064, 2371, 269, 7442, 558, 1460, 529, 568, 1776, 1259, 540, 513, 25757, 12093, 269, 634, 4638, 1272, 4783, 540, 15466, 2371, 5205, 688, 30666, 543, 9733, 1355, 5481, 538, 606, 14595, 6752, 269, 12794, 30666, 24032, 616, 3812, 676, 9733, 1355, 26742, 4451, 5052, 998, 32450, 269, 12794, 30666, 4212, 543, 14203, 616, 3812, 676, 13708, 564, 4451, 5052, 998, 5378, 2670, 269, 17378, 543, 14203, 26595, 547, 1106, 9733, 1355, 1990, 17789, 4925, 689, 799, 1007, 26742, 4451, 5052, 1020, 269, 1879, 15556, 616, 3812, 998, 12381, 540, 519, 4638, 1272, 4783, 9319, 32450, 543, 861, 978, 18081, 267, 519, 1184, 568, 513, 25757, 12093, 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 ]
[ 0, 3848, 476, 272, 281, 634, 5295, 540, 27884, 281, 10289, 3474, 531, 2096, 30679, 26465, 525, 262, 4260, 7958, 998, 8479, 16989, 27140, 692, 7072, 692, 763, 1158, 540, 5026, 814, 1279, 26970, 9458, 267, 3246, 13858, 8090, 540, 17636, 543, 2295, 12577, 22303, 269, 7324, 519, 1034, 11121, 2984, 616, 1346, 540, 3474, 531, 2096, 30679, 9845, 945, 723, 7753, 1713, 2168, 2591, 547, 3035, 30493, 269, 901, 3184, 12538, 883, 519, 1379, 540, 9423, 267, 4481, 2519, 593, 1762, 2937, 15923, 10704, 1472, 3474, 531, 2096, 30679, 9845, 543, 741, 6909, 15322, 269, 3414, 891, 6386, 267, 3988, 2744, 5813, 883, 519, 2729, 540, 7415, 2043, 1247, 1565, 827, 6043, 267, 16177, 267, 543, 519, 1480, 6891, 780, 4089, 476, 272, 281, 4197, 8479, 16989, 27140, 543, 4706, 11957, 692, 21930, 2937, 630, 312, 288, 264, 15923, 568, 513, 9135, 2966, 547, 4497, 15730, 3988, 676, 9306, 23610, 1344, 538, 606, 3015, 543, 2502, 3898, 269, 1635, 3695, 3584, 4143, 547, 713, 2085, 1895, 267, 962, 288, 15923, 11942, 2565, 3206, 267, 7512, 7279, 267, 543, 8992, 6568, 269, 769, 1880, 267, 2984, 827, 3474, 531, 2096, 30679, 9845, 666, 948, 2736, 1524, 11475, 267, 4161, 2111, 1143, 267, 543, 8300, 1762, 4079, 547, 9784, 4763, 543, 10014, 780, 4089, 476, 273, 281, 634, 8177, 540, 3474, 531, 2096, 30679, 26465, 525, 262, 12267, 593, 22419, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2125, 5193, 569, 4642, 12094, 547, 519, 1977, 7732, 5948, 269, 594, 1810, 1406, 1616, 547, 917, 1018, 519, 1158, 1131, 1413, 899, 1510, 1875, 10402, 4115, 543, 1298, 523, 4115, 1199, 1023, 899, 519, 2836, 20657, 2714, 543, 1715, 25053, 267, 6862, 519, 18960, 26549, 899, 519, 7179, 345, 267, 623, 3120, 5617, 1440, 2946, 267, 610, 12942, 13665, 22952, 269, 670, 8582, 14110, 2207, 269, 1703, 616, 2965, 824, 1433, 3620, 517, 1681, 4703, 856, 972, 3257, 519, 11212, 3454, 532, 267, 11212, 14785, 960, 540, 16561, 10189, 1310, 10189, 540, 2835, 267, 2542, 873, 267, 543, 7234, 873, 609, 8284, 1453, 779, 1433, 17758, 29632, 832, 269, 594, 4076, 1044, 18822, 2614, 547, 4196, 593, 1079, 962, 3201, 6347, 8366, 26639, 543, 835, 962, 3201, 6347, 1592, 267, 543, 594, 6557, 538, 1250, 2034, 1032, 540, 7674, 607, 29632, 528, 585, 519, 11968, 13353, 8648, 3883, 15356, 585, 8479, 16989, 9085, 269, 1684, 711, 8774, 1932, 1082, 17229, 585, 803, 267, 855, 1175, 917, 602, 621, 568, 711, 513, 2698, 17552, 5371, 547, 798, 713, 2816, 269, 1703, 568, 513, 5230, 4452, 540, 2542, 267, 791, 8803, 6794, 547, 25077, 609, 267, 543, 3006, 575, 698, 3652, 5329, 596, 689, 5816, 3101, 267, 17408, 7566, 267, 610, 17265, 950, 596, 4196, 593, 606, 8366, 12233, 269, 4635, 7357, 1500, 5346, 2979, 267, 594, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13640, 531, 2096, 30679, 26465, 525, 262, 12267, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 11846, 1299, 28046, 1315, 21396, 1299, 3474, 531, 2096, 335, 923, 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 ]
[ 0, 5035, 634, 318, 19613, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 992, 284, 271, 267, 26383, 284, 271, 267, 10946, 19368, 284, 271, 8029, 1038, 1582, 269, 992, 284, 992, 1477, 1038, 1582, 269, 26383, 284, 26383, 1477, 1038, 1582, 27982, 19368, 284, 10946, 19368, 1477, 825, 1219, 19715, 331, 11229, 299, 17999, 4311, 28083, 8029, 1038, 1582, 27982, 19368, 30381, 1477, 1038, 521, 284, 3269, 1477, 1038, 1592, 272, 17342, 314, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 275, 267, 476, 276, 267, 476, 277, 3910, 1496, 278, 267, 279, 267, 280, 14963, 5897, 1038, 585, 1775, 538, 2039, 263, 271, 267, 6352, 17338, 272, 264, 8029, 2018, 585, 795, 538, 2039, 263, 271, 267, 6352, 17338, 272, 5157, 8079, 8029, 3546, 952, 1582, 27982, 19368, 2525, 4289, 272, 5157, 6012, 329, 316, 6769, 7386, 1582, 269, 992, 284, 328, 266, 272, 1477, 7386, 1582, 269, 26383, 284, 329, 266, 272, 1477, 1038, 521, 284, 1598, 4311, 269, 992, 11924, 14824, 266, 1598, 4311, 269, 26383, 3418, 1038, 2132, 521, 1477, 28128, 284, 763, 318, 19613, 14052, 2745, 263, 28128, 11482, 6327, 331, 11229, 299, 17999, 263, 277, 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 ]
[ 0, 279, 1296, 3516, 454, 13425, 856, 1250, 9365, 8525, 281, 4179, 2517, 4178, 269, 2183, 1504, 2593, 13624, 328, 2483, 1607, 3381, 8843, 2596, 1344, 827, 930, 16166, 4478, 519, 3450, 540, 28928, 543, 4098, 2542, 269, 898, 6212, 593, 519, 8847, 543, 21441, 1063, 13093, 1670, 4656, 267, 13093, 2438, 4656, 267, 543, 18551, 563, 1103, 513, 2428, 9917, 961, 912, 4942, 517, 1670, 4656, 568, 519, 6626, 4656, 540, 3280, 543, 568, 17391, 563, 4942, 517, 2438, 4656, 568, 519, 4656, 540, 519, 10545, 4559, 540, 3280, 538, 513, 2262, 543, 519, 2702, 547, 10126, 267, 11100, 267, 20586, 267, 543, 13861, 1346, 10545, 1367, 4559, 540, 3280, 269, 898, 568, 17391, 563, 4942, 9582, 568, 519, 2078, 1063, 13093, 655, 525, 543, 1178, 335, 1335, 525, 269, 898, 568, 1565, 519, 3652, 543, 3270, 540, 519, 4484, 1606, 895, 2078, 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 ]
[ 0, 19675, 594, 3680, 5253, 609, 700, 624, 1231, 888, 299, 624, 1231, 723, 1312, 2318, 543, 2942, 6547, 593, 519, 1560, 543, 2094, 972, 616, 865, 1082, 2640, 547, 10438, 1978, 3536, 602, 2270, 7898, 1231, 899, 979, 10202, 15708, 594, 3494, 519, 2318, 9090, 29387, 338, 519, 2942, 269, 2755, 1082, 2010, 540, 7898, 1231, 2014, 2942, 6547, 538, 519, 1560, 267, 972, 616, 849, 1072, 5009, 7898, 1231, 602, 666, 6175, 11841, 540, 1978, 3676, 269, 5015, 267, 519, 1560, 3096, 7898, 1231, 547, 3035, 1082, 2596, 3252, 267, 1519, 1591, 547, 1591, 15984, 267, 12982, 25244, 543, 23553, 1591, 2669, 563, 763, 667, 12495, 728, 540, 700, 624, 1231, 454, 28808, 20535, 7898, 1231, 666, 2014, 6366, 18834, 269, 3117, 11167, 22053, 543, 9274, 538, 741, 6151, 1106, 666, 1256, 1267, 538, 15353, 267, 13165, 543, 13481, 269, 11569, 267, 3173, 1179, 3634, 602, 1082, 7805, 3123, 540, 9190, 1426, 15464, 949, 2965, 581, 7898, 514, 15464, 269, 901, 22542, 11605, 4523, 1317, 7898, 1231, 666, 3441, 519, 15499, 16298, 269, 1879, 2614, 7898, 1231, 616, 10057, 267, 621, 666, 5365, 938, 1560, 547, 17355, 10663, 22542, 9115, 269, 901, 1797, 13481, 267, 16081, 4771, 543, 13165, 269, 898, 779, 2147, 547, 10438, 1804, 5666, 540, 4568, 267, 799, 666, 3441, 519, 22542, 16298, 543, 2014, 22542, 27549, 269, 717, 1778, 267, 23611, 267, 10683, 267, 543, 1850, 2541, 630, 18034, 24113, 543, 29704, 264, 7898, 1231, 616, 1034, 4122, 2404, 609, 5359, 540, 9667, 20286, 269, 6181, 6979, 543, 16872, 616, 519, 1034, 10731, 2959, 540, 7898, 1231, 538, 1034, 11326, 563, 1432, 9701, 1411, 1684, 888, 2252, 596, 8532, 513, 2732, 609, 7899, 540, 7898, 514, 11656, 3536, 267, 2119, 547, 2569, 519, 2179, 676, 865, 1136, 267, 7542, 13586, 267, 17708, 1154, 543, 5924, 5986, 269, 1975, 709, 1154, 5452, 267, 9274, 610, 10365, 11081, 519, 7898, 514, 1543, 269, 1924, 752, 10365, 543, 22053, 16074, 267, 543, 1689, 519, 1216, 1419, 269, 667, 1778, 543, 27125, 1586, 1354, 5986, 269, 17006, 9770, 22833, 12365, 622, 630, 10440, 11256, 14614, 264, 547, 519, 865, 1136, 1216, 949, 948, 9243, 1125, 519, 7898, 1231, 2417, 269, 12113, 7695, 2636, 6225, 4551, 547, 7558, 543, 6460, 1082, 540, 519, 5739, 6878, 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 ]
[ 0, 6781, 560, 29561, 540, 5061, 607, 513, 1900, 2509, 4008, 5912, 281, 513, 19574, 9661, 454, 763, 2474, 19574, 267, 4008, 7988, 874, 18319, 630, 9169, 300, 268, 276, 264, 543, 4008, 1651, 784, 745, 775, 630, 2975, 291, 268, 1556, 264, 3277, 547, 513, 3510, 1141, 606, 1367, 779, 4008, 3961, 15320, 689, 5007, 4638, 14169, 693, 4332, 269, 1280, 1346, 945, 7287, 547, 10929, 4008, 5912, 267, 2139, 4008, 3961, 268, 3530, 15256, 1416, 949, 1331, 9449, 3797, 543, 6391, 269, 6969, 6236, 971, 7459, 267, 621, 568, 2556, 547, 6166, 519, 5868, 540, 4008, 7988, 874, 18319, 543, 2697, 1022, 2564, 543, 17867, 5868, 602, 949, 2154, 2126, 269, 634, 19574, 2551, 814, 1164, 3928, 540, 4568, 946, 267, 28302, 3075, 946, 267, 543, 1875, 4364, 673, 946, 540, 13310, 5061, 267, 543, 1397, 811, 4049, 21568, 540, 891, 6878, 950, 3379, 609, 1875, 10520, 14054, 2043, 269, 4112, 534, 725, 585, 713, 15398, 1981, 540, 6219, 946, 4713, 723, 5059, 15866, 593, 2686, 543, 2825, 2188, 971, 607, 1514, 16663, 267, 1098, 874, 14113, 267, 14882, 543, 7130, 563, 1607, 1867, 2882, 835, 2013, 14745, 540, 513, 4008, 7988, 874, 7595, 3461, 9306, 547, 606, 8213, 1770, 585, 2126, 540, 4568, 543, 25933, 946, 4713, 563, 288, 32253, 3406, 540, 2296, 25082, 12326, 630, 20464, 272, 267, 476, 1001, 275, 1700, 20464, 4029, 267, 476, 1001, 280, 264, 729, 5342, 1210, 519, 2474, 4008, 7988, 874, 18319, 267, 19574, 543, 8213, 269, 31999, 4930, 1634, 547, 519, 4589, 941, 849, 3769, 563, 24342, 270, 3519, 7501, 281, 634, 3461, 568, 606, 2937, 609, 796, 3711, 27631, 26715, 5256, 3023, 693, 4332, 267, 3246, 513, 6093, 1686, 540, 4008, 7988, 874, 18319, 4098, 693, 476, 1015, 1296, 540, 2085, 269, 1261, 3323, 1010, 22925, 19326, 693, 519, 2085, 540, 476, 1626, 543, 15109, 873, 513, 12003, 7271, 2509, 1010, 4008, 5829, 11605, 269, 1261, 729, 1201, 1229, 547, 513, 4008, 268, 3530, 15256, 1416, 1770, 543, 814, 9738, 17712, 29561, 540, 25933, 543, 9793, 946, 540, 4568, 607, 513, 2783, 547, 8399, 609, 2126, 563, 1607, 2013, 7125, 585, 1808, 3007, 547, 2232, 16609, 6219, 946, 1851, 19574, 2043, 267, 10834, 513, 991, 585, 15520, 6213, 7459, 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 ]
[ 0, 258, 1982, 2982, 2221, 781, 4266, 543, 513, 1699, 942, 585, 5507, 267, 32160, 267, 18293, 543, 19519, 692, 258, 1104, 532, 519, 1239, 593, 1699, 4266, 543, 942, 454, 5228, 30220, 1104, 30220, 692, 258, 2870, 4756, 585, 519, 4266, 454, 852, 815, 30220, 269, 852, 10797, 258, 4259, 513, 942, 585, 32160, 267, 18293, 543, 19519, 454, 342, 1513, 1177, 815, 1193, 263, 852, 19544, 712, 1341, 476, 272, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 2381, 1393, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 16149, 994, 332, 17398, 815, 1193, 263, 852, 19544, 712, 1341, 476, 274, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 2381, 1393, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 16149, 994, 339, 758, 14623, 815, 1193, 263, 852, 19544, 712, 1341, 476, 280, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 2381, 1393, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 16149, 2020, 258, 14577, 519, 942, 952, 621, 781, 2250, 28813, 585, 32160, 267, 18293, 543, 19519, 454, 604, 10617, 1177, 3436, 1412, 2190, 12466, 476, 10617, 1177, 815, 1193, 263, 852, 19544, 712, 910, 476, 273, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 2381, 1393, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 16149, 264, 1341, 834, 630, 1492, 1985, 1554, 264, 4840, 604, 544, 17398, 3436, 1412, 2190, 12466, 476, 544, 17398, 815, 1193, 263, 852, 19544, 712, 910, 476, 736, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 2381, 1393, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 16149, 264, 1341, 834, 630, 1492, 1985, 1554, 264, 4840, 604, 547, 5652, 334, 3436, 1412, 2190, 12466, 476, 547, 5652, 334, 815, 1193, 263, 852, 19544, 712, 910, 476, 1428, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 2381, 1393, 264, 1341, 834, 281, 257, 1341, 1193, 263, 852, 269, 16149, 264, 1341, 834, 630, 1492, 1985, 1554, 264, 5016, 454, 258, 8228, 519, 2164, 454, 2745, 18011, 9213, 32075, 338, 4266, 281, 4939, 6349, 323, 270, 260, 6349, 323, 270, 260, 6860, 323, 1422, 333, 14826, 14483, 942, 538, 281, 1422, 333, 26780, 281, 4939, 6349, 323, 281, 260, 6349, 323, 281, 260, 6349, 323, 14826, 310, 1513, 1177, 281, 4939, 338, 1422, 333, 300, 17398, 281, 4939, 338, 1422, 333, 27717, 14623, 281, 4939, 338, 262, 4939, 3097, 11434, 630, 852, 269, 24629, 267, 1631, 269, 1485, 267, 1631, 13885, 792, 267, 1631, 19544, 712, 267, 1631, 269, 2381, 1393, 267, 1631, 269, 16149, 267, 10617, 1177, 267, 544, 17398, 267, 547, 5652, 334, 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 ]
[ 0, 14630, 281, 2904, 476, 1691, 267, 476, 1708, 274, 692, 258, 29435, 532, 24908, 10606, 676, 19940, 10606, 8018, 692, 9743, 15297, 281, 16534, 1142, 1966, 543, 2328, 707, 2626, 538, 519, 2230, 3177, 780, 1012, 3487, 476, 272, 281, 29435, 532, 24908, 10606, 676, 19940, 10606, 692, 272, 269, 19147, 2387, 274, 476, 272, 270, 273, 319, 676, 2387, 275, 27471, 273, 269, 19147, 2387, 276, 476, 274, 270, 275, 319, 676, 2387, 273, 27471, 274, 269, 19147, 2387, 278, 476, 273, 270, 274, 319, 676, 2387, 274, 27471, 275, 269, 19147, 2387, 275, 476, 272, 270, 273, 319, 676, 2387, 276, 27471, 276, 269, 19147, 2387, 277, 476, 274, 270, 275, 319, 676, 2387, 273, 27471, 277, 269, 19147, 2387, 279, 476, 272, 270, 274, 319, 676, 2387, 275, 27471, 278, 269, 19147, 2387, 273, 476, 272, 270, 273, 319, 676, 2387, 274, 27471, 279, 269, 19147, 2387, 272, 476, 274, 270, 275, 319, 676, 2387, 273, 27471, 280, 269, 19147, 2387, 280, 476, 272, 270, 273, 319, 676, 2387, 276, 27471, 1015, 269, 19147, 2387, 1556, 476, 273, 270, 274, 319, 676, 2387, 274, 27471, 1012, 3487, 476, 273, 281, 6478, 10819, 692, 272, 269, 589, 11600, 585, 3443, 31817, 7125, 585, 2387, 273, 476, 272, 270, 273, 319, 11680, 540, 7912, 269, 1403, 596, 1616, 547, 1118, 3368, 513, 11600, 267, 875, 1082, 11680, 540, 7912, 798, 596, 991, 2496, 273, 269, 589, 16741, 814, 2387, 274, 476, 272, 270, 275, 319, 21100, 269, 1403, 596, 1616, 547, 2671, 519, 16741, 8449, 1851, 2387, 275, 319, 1004, 267, 875, 1082, 21100, 786, 1142, 1268, 1205, 2496, 274, 269, 589, 16027, 814, 2387, 1321, 476, 274, 270, 275, 319, 14143, 540, 2244, 269, 1403, 646, 6499, 547, 7941, 519, 2244, 883, 2387, 274, 319, 3160, 2694, 267, 875, 1082, 14143, 786, 1142, 851, 723, 2496, 275, 269, 589, 1433, 814, 2387, 12553, 319, 3817, 269, 1403, 596, 1224, 2387, 274, 476, 272, 270, 273, 319, 3817, 1169, 1554, 267, 875, 1082, 2395, 786, 621, 1491, 596, 547, 9096, 519, 1433, 2496, 276, 269, 589, 14735, 11600, 7125, 585, 2387, 273, 476, 274, 270, 275, 319, 11680, 540, 4006, 269, 1403, 596, 1616, 547, 1118, 2387, 272, 270, 274, 319, 540, 519, 11600, 267, 875, 1082, 11680, 540, 4006, 798, 596, 991, 2496, 277, 269, 589, 4558, 23619, 2387, 276, 476, 272, 270, 273, 319, 11013, 11435, 540, 2915, 1426, 269, 1403, 596, 723, 2387, 2420, 319, 6550, 540, 2915, 1426, 267, 875, 1082, 11435, 666, 596, 1118, 2496, 278, 269, 589, 11600, 585, 838, 698, 515, 26152, 14036, 7125, 585, 2387, 277, 476, 272, 270, 273, 319, 11680, 540, 14274, 269, 1403, 596, 1616, 547, 1118, 2387, 273, 270, 274, 319, 540, 519, 11600, 267, 875, 1082, 11680, 540, 14274, 798, 596, 991, 2496, 279, 269, 589, 27460, 8255, 2387, 272, 476, 274, 270, 275, 319, 5195, 1169, 1554, 269, 1403, 646, 6499, 547, 2196, 513, 2698, 540, 2387, 2641, 319, 5195, 267, 875, 1082, 2395, 786, 621, 1491, 1864, 2496, 280, 269, 589, 11600, 585, 10217, 13863, 12897, 7125, 585, 2387, 274, 476, 272, 270, 273, 319, 11680, 540, 10217, 13365, 269, 1403, 596, 1616, 547, 1118, 2387, 272, 270, 273, 319, 540, 519, 11600, 267, 875, 1082, 11680, 540, 10217, 13365, 798, 596, 991, 2496, 1015, 269, 589, 11600, 585, 15255, 1725, 320, 7125, 585, 2387, 272, 476, 272, 270, 273, 319, 6550, 540, 2666, 14132, 269, 1403, 596, 1616, 547, 1118, 2387, 274, 319, 2053, 519, 11600, 267, 875, 1082, 6550, 540, 2666, 14132, 798, 596, 991, 2496, 17484, 540, 4976, 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 ]
[ 0, 5472, 827, 6083, 984, 548, 1923, 1187, 8631, 1923, 5192, 513, 1863, 669, 2660, 7901, 1923, 5131, 10084, 29441, 1923, 2997, 520, 1513, 454, 829, 14658, 639, 12297, 9623, 692, 4569, 4147, 630, 16829, 593, 476, 1220, 275, 268, 1321, 268, 2537, 994, 763, 2979, 4116, 9619, 519, 1362, 269, 834, 296, 723, 6074, 513, 2318, 8870, 630, 19668, 476, 1015, 1040, 898, 814, 476, 275, 9704, 267, 538, 26799, 5311, 267, 9039, 540, 799, 616, 476, 271, 269, 594, 723, 7229, 519, 2040, 540, 922, 9704, 267, 519, 2040, 540, 519, 10945, 540, 922, 9704, 267, 543, 519, 1587, 540, 922, 9704, 267, 543, 1142, 540, 891, 9424, 814, 513, 1114, 1297, 540, 9704, 269, 6333, 519, 1739, 476, 280, 6898, 912, 263, 272, 264, 634, 1297, 568, 513, 6305, 563, 263, 273, 264, 634, 2040, 540, 922, 9704, 568, 513, 6305, 563, 263, 274, 264, 634, 2040, 540, 519, 10945, 540, 922, 9704, 568, 513, 6305, 563, 263, 275, 264, 634, 1297, 568, 513, 4009, 563, 263, 276, 264, 634, 2040, 540, 922, 9704, 568, 513, 4009, 563, 263, 277, 264, 634, 2040, 540, 519, 10945, 540, 922, 9704, 568, 513, 4009, 563, 263, 278, 264, 634, 1297, 568, 21083, 563, 263, 279, 264, 634, 2040, 540, 922, 9704, 568, 21083, 563, 263, 280, 264, 634, 2040, 540, 519, 10945, 540, 922, 9704, 568, 21083, 780, 2791, 1590, 946, 873, 547, 3313, 519, 1297, 4799, 257, 3719, 789, 666, 1405, 782, 581, 3020, 256, 2580, 954, 915, 539, 835, 540, 519, 1053, 563, 19285, 2760, 1767, 789, 941, 256, 2368, 540, 519, 6898, 616, 3020, 543, 930, 616, 7301, 4799, 257, 11039, 649, 786, 991, 811, 1344, 269, 15681, 721, 799, 616, 3020, 543, 799, 616, 7301, 4799, 257, 2252, 594, 5143, 596, 602, 596, 1131, 3362, 581, 2111, 547, 3313, 519, 1297, 30882, 257, 11039, 693, 2547, 2995, 721, 875, 1082, 616, 3020, 4799, 257, 2252, 594, 5143, 596, 602, 1631, 267, 596, 1131, 581, 2111, 547, 3313, 519, 1297, 1932, 3362, 30882, 257, 11039, 267, 1018, 811, 666, 596, 2995, 721, 24350, 257, 301, 5847, 256, 594, 723, 5143, 596, 2614, 15323, 1432, 729, 519, 1297, 2496, 6423, 634, 8827, 4427, 4784, 676, 13343, 28951, 281, 476, 274, 269, 26116, 278, 630, 277, 16018, 2020, 13595, 8191, 11261, 556, 281, 2495, 1546, 329, 3057, 476, 1220, 279, 268, 4962, 268, 2764, 476, 1321, 281, 6321, 281, 7918, 2626, 918, 590, 15115, 24473, 476, 1220, 278, 268, 6860, 268, 1704, 476, 1321, 281, 1240, 281, 2412, 556, 263, 273, 2567, 8827, 6424, 1744, 514, 476, 1220, 275, 268, 1321, 268, 4029, 476, 1704, 281, 6812, 281, 866, 2495, 21125, 476, 1220, 275, 268, 1321, 268, 4029, 476, 5881, 281, 1240, 281, 1704, 556, 281, 8827, 4569, 300, 8643, 659, 476, 1220, 275, 268, 1321, 268, 4029, 476, 6860, 281, 3066, 281, 6812, 3070, 4168, 476, 1220, 275, 268, 1321, 268, 2537, 476, 2420, 281, 2190, 281, 4375, 8827, 7603, 476, 1220, 275, 268, 1321, 268, 2537, 476, 2420, 281, 6734, 281, 6246, 556, 281, 22548, 2305, 22490, 24898, 476, 1220, 275, 268, 1321, 268, 2537, 476, 736, 281, 4391, 281, 6349, 22548, 2305, 22490, 5286, 318, 4135, 476, 1220, 275, 268, 1321, 268, 2537, 476, 866, 281, 4366, 281, 4343, 692, 9612, 281, 9612, 1560, 912, 2690, 4548, 630, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7316, 538, 519, 3703, 1772, 956, 666, 519, 700, 1314, 5674, 24747, 513, 6390, 15248, 1772, 629, 7578, 581, 2938, 888, 12585, 281, 1772, 548, 540, 2494, 454, 2704, 328, 1162, 281, 2494, 6816, 267, 1772, 548, 2986, 2494, 267, 28690, 540, 519, 1772, 548, 540, 2494, 267, 1412, 20075, 839, 30934, 5174, 1551, 656, 27895, 586, 5484, 516, 514, 3299, 4959, 4041, 5508, 631, 3198, 267, 18869, 476, 22332, 277, 268, 272, 281, 8379, 267, 634, 1772, 548, 540, 2494, 267, 8745, 540, 519, 1772, 548, 540, 2494, 267, 28553, 514, 267, 3933, 777, 807, 267, 1412, 20075, 523, 781, 30934, 5174, 1551, 656, 27895, 586, 5484, 516, 514, 3299, 962, 333, 903, 2494, 1177, 267, 1772, 548, 540, 6341, 267, 17227, 2920, 476, 4572, 280, 267, 634, 1772, 548, 2986, 2494, 267, 1772, 548, 540, 2494, 270, 9558, 20139, 2152, 267, 1772, 548, 540, 2494, 19072, 26090, 267, 5771, 538, 519, 1772, 548, 540, 2494, 267, 1772, 548, 540, 812, 267, 3933, 7776, 20364, 267, 2494, 343, 630, 332, 2814, 1108, 1070, 1772, 548, 540, 28553, 267, 6816, 540, 2494, 267, 17557, 1143, 538, 519, 1772, 548, 540, 2494, 267, 1772, 548, 540, 2494, 270, 14532, 267, 13639, 540, 519, 1772, 548, 540, 2494, 267, 17227, 538, 519, 1772, 548, 540, 2494, 267, 15215, 538, 519, 1772, 548, 540, 2494, 267, 1412, 20075, 523, 781, 30934, 5174, 1551, 656, 27895, 562, 344, 5484, 516, 514, 3299, 594, 540, 631, 267, 2494, 267, 1772, 548, 540, 267, 1772, 548, 540, 2494, 267, 2342, 270, 3674, 548, 540, 2494 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 519, 2244, 540, 21035, 267, 972, 729, 513, 9589, 4414, 2961, 7065, 269, 901, 7012, 1405, 1175, 1022, 8723, 24095, 282, 621, 1223, 1689, 922, 4778, 543, 3270, 256, 1809, 1282, 2027, 2053, 899, 7260, 6566, 4536, 610, 8366, 2982, 267, 621, 5828, 6505, 2699, 780, 10111, 5055, 267, 30985, 9697, 267, 5030, 2282, 713, 17134, 5896, 24095, 269, 2701, 2141, 9289, 1946, 621, 4957, 2681, 269, 2290, 1554, 1352, 1558, 15207, 267, 11565, 18976, 32202, 18857, 267, 1634, 585, 1010, 7326, 269, 2961, 5055, 4280, 15207, 267, 834, 3963, 1281, 519, 24095, 2490, 2699, 593, 1346, 2027, 17334, 12482, 20755, 3240, 6045, 267, 834, 16524, 3516, 267, 1004, 4362, 602, 2699, 20004, 3357, 689, 16760, 7786, 1572, 31882, 710, 531, 269, 898, 3090, 1242, 5763, 1317, 621, 729, 7199, 269, 1924, 789, 3323, 12902, 856, 1412, 1042, 15790, 1115, 262, 585, 741, 15438, 543, 30842, 3010, 257, 17764, 2437, 1767, 2961, 5055, 267, 14281, 269, 834, 3719, 875, 1705, 621, 1205, 1934, 8119, 3807, 1287, 267, 681, 7534, 267, 12754, 995, 13158, 267, 7902, 269, 2701, 1185, 4862, 519, 2898, 6643, 543, 3773, 267, 834, 296, 917, 1945, 827, 602, 1932, 256, 1411, 1294, 267, 950, 9413, 3459, 267, 801, 3930, 4941, 547, 1118, 6801, 1745, 3063, 2027, 267, 865, 789, 4547, 519, 2245, 540, 2699, 15790, 1115, 547, 6566, 773, 637, 15323, 7021, 942, 267, 811, 543, 811, 7068, 20595, 16681, 9660, 593, 519, 2699, 24095, 267, 6029, 1055, 4190, 6272, 676, 8983, 524, 719, 584, 4536, 269, 674, 1662, 687, 7960, 267, 10452, 1114, 21971, 910, 689, 2241, 575, 12495, 547, 12050, 6898, 269, 4634, 12961, 8678, 538, 267, 18071, 7524, 12209, 18705, 883, 17960, 2439, 3080, 3781, 267, 896, 519, 26124, 7599, 2775, 267, 519, 1614, 2828, 4956, 547, 3802, 1524, 519, 4414, 2961, 7065, 2933, 267, 21039, 909, 538, 19471, 30933, 269, 22582, 267, 519, 24095, 1166, 14414, 13085, 569, 267, 1025, 4193, 873, 269, 1879, 789, 8118, 741, 4064, 267, 789, 1336, 2933, 11303, 676, 9118, 18759, 910, 1142, 835, 15386, 513, 2189, 4528, 540, 1018, 789, 6743, 899, 2439, 5445, 7691, 602, 1247, 519, 2168, 5920, 540, 519, 2699, 24095, 1522, 1689, 267, 621, 4564, 7862, 9944, 621, 269, 17859, 540, 2436, 596, 616, 513, 3032, 267, 12475, 18857, 267, 3731, 267, 17079, 267, 610, 1022, 824, 13442, 267, 3025, 31438, 8449, 950, 2016, 513, 4960, 269, 1656, 3006, 267, 3255, 2097, 21039, 909, 607, 6397, 23538, 267, 3450, 721, 3407, 4245, 827, 1272, 543, 2257, 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, 22081, 723, 2699, 15790, 1115, 4957, 936, 519, 1296, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 2833, 267, 8823, 610, 4664, 269, 1717, 267, 594, 666, 1683, 596, 519, 1739, 2489, 1344, 281, 3097, 16446, 15790, 1115, 723, 7960, 3648, 936, 519, 1296, 267, 1312, 538, 2474, 540, 6752, 543, 1599, 269, 21231, 267, 2699, 15790, 1115, 941, 11603, 585, 28370, 543, 28245, 269, 1358, 941, 1031, 547, 1665, 1271, 2621, 543, 18428, 267, 971, 607, 8318, 725, 543, 4670, 6566, 773, 637, 269, 1717, 267, 607, 942, 5293, 267, 2699, 15790, 1115, 2968, 811, 28125, 267, 609, 4213, 543, 3906, 1210, 873, 547, 1711, 513, 966, 7709, 1995, 585, 5561, 543, 7218, 780, 293, 5831, 593, 519, 2699, 24095, 814, 7960, 30140, 936, 942, 607, 1134, 269, 769, 519, 4505, 1296, 267, 972, 941, 1152, 513, 1906, 9858, 543, 18935, 1235, 945, 5249, 609, 28245, 945, 1131, 5957, 4773, 1500, 4481, 585, 873, 269, 769, 519, 476, 3445, 338, 543, 476, 1220, 271, 338, 267, 649, 4718, 519, 4367, 540, 811, 3309, 9858, 543, 513, 6626, 2039, 540, 6163, 267, 1818, 519, 2699, 24095, 513, 811, 11180, 1747, 269, 2060, 519, 4417, 540, 1514, 18657, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 310, 3036, 32578, 14408, 293, 5085, 312, 269, 4208, 568, 2324, 9108, 1271, 286, 1547, 1215, 798, 596, 960, 9108, 27085, 7427, 3106, 5528, 25169, 707, 3946, 23203, 623, 13048, 269, 9358, 631, 19851, 11783, 4208, 568, 2324, 9108, 1271, 27085, 15439, 2322, 267, 18027, 8008, 4041, 667, 2177, 685, 307, 717, 4953, 670, 7838, 307, 256, 269, 1548, 798, 596, 798, 952, 2576, 4991, 10413, 693, 960, 286, 563, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 563, 3963, 568, 2324, 9108, 28695, 888, 10287, 3106, 5528, 454, 310, 1662, 707, 3946, 454, 14154, 8008, 4041, 667, 2177, 685, 307, 717, 4953, 670, 7838, 307, 2336, 27751, 7063, 5612, 547, 707, 8111, 6665, 528, 563, 10287, 519, 3106, 3652, 454, 7476, 948, 952, 2877, 563, 16729, 519, 3106, 3652, 563, 310, 8960, 519, 1318, 8825, 3937, 563, 30789, 519, 960, 1858, 2922, 563, 288, 9651, 568, 4376, 602, 1223, 10413, 596, 610, 1118, 596, 7210, 563, 7312, 9036, 814, 4191, 547, 7618, 596, 547, 581, 6297, 563, 3951, 24912, 22400, 19419, 303, 2177, 10485, 289, 6579, 14510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5565, 10800, 2692, 903, 5129, 513, 9490, 2669, 332, 2255, 9982, 907, 1403, 596, 616, 835, 540, 519, 10800, 2692, 903, 267, 786, 596, 9496, 1101, 610, 2034, 2496, 7597, 5784, 692, 10521, 10800, 2692, 903, 5129, 513, 9490, 2669, 332, 2255, 780, 5719, 987, 300, 2255, 16390, 912, 272, 269, 1358, 1312, 991, 547, 3595, 476, 2537, 4439, 7410, 538, 2698, 563, 273, 269, 1358, 786, 9496, 835, 676, 835, 563, 274, 269, 1358, 666, 9496, 2899, 610, 7466, 538, 741, 4960, 563, 275, 269, 634, 835, 602, 22534, 2063, 1775, 4318, 476, 2537, 6113, 8929, 2115, 547, 3595, 4439, 7410, 693, 5128, 780, 2252, 596, 616, 835, 540, 519, 10800, 2692, 903, 267, 786, 596, 9496, 1101, 610, 2034, 2496, 14006, 539, 4924, 476, 274, 267, 476, 1001, 279, 692, 266, 272, 8917, 692, 2252, 835, 17648, 602, 789, 616, 2469, 547, 4413, 1142, 824, 1034, 540, 519, 942, 543, 602, 950, 789, 9496, 2933, 621, 781, 513, 1978, 2669, 1287, 2676, 7883, 532, 476, 272, 560, 609, 513, 2582, 8929, 543, 1287, 3257, 519, 6587, 540, 1018, 707, 18545, 1281, 666, 4734, 519, 18545, 609, 519, 2063, 8929, 780, 4537, 2393, 476, 272, 560, 780, 15008, 1384, 2791, 1744, 2393, 2899, 563, 10190, 8929, 6587, 540, 1018, 519, 824, 10800, 24742, 9496, 1775, 4318, 952, 824, 10800, 24742, 15833, 476, 273, 2053, 267, 596, 8929, 2899, 543, 13030, 17930, 563, 5475, 476, 1428, 15833, 267, 16886, 6967, 786, 581, 476, 2537, 910, 476, 272, 910, 476, 278, 263, 273, 266, 272, 264, 815, 476, 272, 454, 763, 824, 10800, 24742, 991, 547, 3595, 519, 2063, 16886, 692, 13436, 10658, 26072, 692, 2791, 616, 12758, 609, 513, 14228, 3122, 945, 15055, 547, 1404, 621, 11315, 269, 634, 1152, 1259, 547, 7639, 568, 547, 3398, 1010, 27592, 547, 1404, 6739, 22748, 30592, 780, 3891, 6799, 513, 15148, 591, 538, 799, 267, 1614, 4439, 7410, 723, 1044, 5116, 13394, 583, 1947, 269, 3767, 646, 30809, 519, 12068, 12718, 540, 519, 7784, 269, 634, 12718, 530, 2632, 581, 838, 684, 1586, 269, 634, 7784, 786, 581, 5293, 1063, 1312, 540, 596, 11489, 519, 7784, 11642, 543, 835, 540, 596, 568, 4666, 780, 12663, 596, 4782, 547, 979, 1101, 610, 2034, 952, 596, 616, 2016, 513, 3903, 26042, 266, 272, 8917, 692, 305, 2129, 534, 543, 10127, 534, 616, 4730, 513, 3014, 269, 1703, 616, 9704, 689, 476, 272, 547, 476, 280, 269, 634, 6952, 568, 602, 1142, 835, 540, 873, 814, 547, 2759, 835, 7857, 543, 1039, 621, 547, 1010, 9757, 2040, 269, 634, 835, 945, 568, 2111, 547, 3489, 513, 2040, 540, 3169, 476, 1428, 786, 3094, 519, 3014, 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, 1, 1, 1, 1 ]
[ 0, 258, 3009, 322, 692, 2162, 667, 11163, 543, 16448, 531, 667, 11163, 692, 2690, 4351, 4756, 3230, 312, 2330, 543, 4351, 10321, 3230, 313, 2330, 543, 3230, 311, 18079, 3230, 307, 263, 312, 267, 2098, 315, 13232, 2473, 9385, 514, 314, 271, 267, 476, 272, 316, 18079, 19585, 13829, 11664, 267, 3947, 721, 513, 2268, 540, 13829, 540, 3230, 312, 2330, 543, 3230, 313, 2330, 2016, 3230, 311, 18079, 799, 568, 4642, 952, 543, 1152, 952, 3230, 312, 2330, 568, 4830, 540, 3230, 313, 2330, 2016, 3230, 311, 2330, 543, 568, 476, 272, 952, 543, 1152, 952, 3230, 312, 2330, 568, 513, 1599, 540, 3230, 313, 2330, 2016, 3230, 311, 21974, 9577, 3009, 322, 9193, 713, 1871, 269, 634, 9949, 1871, 585, 3230, 311, 2330, 568, 715, 26097, 543, 952, 568, 711, 3177, 676, 519, 3593, 267, 621, 3947, 519, 13829, 2268, 540, 3230, 312, 2330, 593, 3230, 313, 21974, 1280, 811, 3877, 593, 519, 4214, 540, 3230, 307, 2330, 543, 922, 3601, 267, 1294, 519, 1957, 589, 11822, 12763, 2986, 16448, 531, 667, 11163, 780, 19350, 596, 666, 1294, 513, 2241, 1383, 540, 713, 2268, 780, 331, 3869, 263, 23859, 5746, 994, 333, 815, 476, 1911, 876, 454, 343, 272, 815, 5119, 263, 14725, 604, 3799, 1070, 562, 3712, 815, 476, 272, 994, 343, 273, 815, 5119, 263, 14725, 604, 3799, 1070, 562, 3712, 815, 476, 272, 994, 343, 274, 815, 5119, 263, 14725, 604, 3799, 1070, 562, 3712, 815, 476, 272, 994, 344, 815, 630, 343, 272, 1341, 1535, 273, 1341, 1535, 274, 264, 4939, 260, 476, 272, 454, 258, 586, 568, 4830, 540, 1142, 540, 1535, 272, 543, 1535, 273, 543, 1535, 274, 454, 13892, 322, 12169, 267, 1535, 272, 994, 258, 285, 1496, 272, 316, 476, 271, 269, 1822, 29044, 5325, 454, 13892, 322, 12169, 267, 1535, 273, 994, 258, 285, 1496, 272, 316, 910, 271, 269, 26289, 277, 4037, 2767, 454, 13892, 322, 12169, 267, 1535, 274, 994, 258, 285, 1496, 272, 316, 910, 271, 269, 28318, 10204, 9262, 692, 258, 586, 568, 4830, 540, 519, 6292, 630, 343, 272, 267, 1535, 273, 994, 13892, 322, 12169, 267, 524, 321, 785, 3287, 272, 267, 1535, 273, 4917, 258, 285, 1496, 272, 316, 910, 271, 269, 25484, 277, 4097, 8287, 692, 258, 586, 568, 513, 1599, 540, 630, 343, 272, 267, 1535, 273, 267, 1535, 274, 994, 13892, 322, 12169, 267, 524, 321, 785, 3287, 272, 267, 1535, 273, 267, 1535, 274, 4917, 258, 285, 1496, 272, 316, 476, 271, 269, 279, 4037, 3607, 275, 279, 692, 258, 19585, 593, 1535, 274, 267, 586, 568, 513, 1599, 540, 630, 343, 272, 267, 1535, 273, 994, 13892, 322, 12169, 267, 524, 321, 785, 3287, 272, 267, 1535, 273, 1070, 1535, 274, 994, 258, 285, 1496, 272, 316, 476, 271, 269, 279, 6507, 4097, 279, 273, 454, 258, 19585, 593, 1535, 274, 267, 586, 568, 4830, 540, 1535, 272, 454, 13892, 322, 12169, 267, 1535, 272, 267, 1535, 274, 994, 258, 285, 1496, 272, 316, 476, 271, 269, 21916, 3583, 273, 22650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1948, 6352, 3890, 16583, 30936, 29635, 492, 371, 9463, 500, 31365, 28578, 421, 499, 379, 18021, 355, 10857, 2654, 994, 258, 30458, 17342, 272, 267, 2641, 267, 3953, 267, 273, 267, 4029, 267, 4029, 267, 4029, 267, 272, 267, 18891, 267, 13199, 2639, 258, 24042, 320, 14352, 272, 267, 23470, 274, 267, 275, 267, 2537, 267, 1321, 267, 1321, 267, 1556, 267, 272, 267, 272, 994, 258, 9598, 320, 28121, 257, 4067, 9899, 257, 345, 28702, 338, 534, 14824, 720, 9899, 1240, 2437, 327, 984, 2421, 9899, 257, 2452, 257, 8679, 258, 1305, 320, 28121, 2641, 267, 2190, 267, 2420, 267, 3953, 267, 4029, 267, 273, 267, 1321, 267, 13199, 267, 2641, 267, 2641, 267, 2641, 10926, 258, 3259, 284, 6352, 263, 3553, 320, 994, 258, 1820, 10857, 2654, 2020, 258, 420, 492, 371, 9463, 500, 21211, 31033, 4970, 366, 421, 499, 379, 18021, 355, 454, 338, 272, 6889, 31435, 1158, 256, 12916, 510, 417, 354, 377, 8147, 418, 371, 365, 17295, 367, 5405, 479, 4840, 2745, 12759, 4433, 272, 4917, 2745, 4433, 272, 15631, 273, 20285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9596, 1770, 8370, 827, 10918, 6258, 827, 2268, 1913, 17276, 498, 363, 1990, 6062, 5236, 376, 490, 418, 488, 488, 22678, 8147, 30837, 351, 544, 1014, 3503, 5220, 1210, 2268, 1913, 17276, 498, 363, 1990, 6062, 5236, 376, 490, 418, 488, 488, 22678, 8147, 30837, 351, 544, 1014, 6258, 827, 2022, 268, 18690, 13127, 506, 357, 1990, 2967, 8147, 28996, 546, 7776, 454, 25594, 798, 2259, 593, 519, 4544, 1603, 1433, 7433, 476, 275, 834, 1603, 27029, 18800, 1570, 585, 1439, 540, 2165, 981, 1449, 7736, 540, 2165, 11929, 4530, 798, 2259, 593, 519, 4544, 1603, 1433, 827, 1957, 476, 275, 834, 530, 686, 532, 4840, 18800, 1570, 585, 1439, 540, 2165, 981, 1449, 454, 16215, 476, 279, 1576, 1504, 2433, 27855, 519, 26240, 517, 781, 5920, 543, 28459, 267, 6258, 519, 4559, 540, 2724, 4530, 1770, 476, 279, 454, 25594, 23519, 1770, 476, 279, 851, 476, 278, 2394, 851, 476, 280, 2985, 476, 5655, 6258, 1770, 476, 280, 827, 10918, 631, 1549, 519, 1883, 4938, 629, 983, 625, 585, 8075, 267, 11647, 2073, 543, 7622, 14233, 454, 14818, 7689, 476, 278, 6258, 1770, 5216, 827, 15437, 543, 9660, 476, 16141, 352, 10951, 491, 631, 1549, 519, 1883, 4938, 629, 983, 625, 585, 15437, 543, 9660, 454, 25594, 1565, 1770, 476, 278, 23519, 5149, 476, 278, 834, 5851, 5020, 257, 19415, 547, 513, 6643, 827, 8075, 267, 11647, 543, 7622, 14233, 8382, 2055, 1759, 593, 519, 6643, 454, 16215, 476, 278, 23519, 8382, 2055, 1759, 593, 519, 6643, 1234, 523, 716, 519, 6643, 5269, 513, 1909, 1404, 270, 935, 951, 566, 827, 8075, 267, 11647, 543, 7622, 14233, 454, 9596, 5149, 476, 278, 834, 5851, 5020, 257, 3503, 4845, 1210, 519, 4845, 2497, 547, 4766, 4087, 676, 1210, 519, 1079, 4845, 3889, 2433, 1641, 13127, 506, 357, 263, 1990, 2967, 264, 1341, 2199, 16014, 543, 589, 13127, 506, 357, 630, 345, 2967, 264, 645, 630, 476, 7511, 1372, 264, 1341, 2199, 16014, 15566, 1565, 1770, 476, 278, 2507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 2244, 540, 15750, 6807, 267, 972, 5030, 1079, 1655, 2828, 3957, 570, 11035, 519, 7392, 2183, 543, 681, 13704, 519, 3367, 762, 269, 1358, 6068, 3695, 519, 1158, 540, 7270, 1927, 269, 2290, 1554, 789, 16686, 2390, 1945, 1360, 4277, 910, 1462, 2762, 2439, 307, 11035, 729, 19832, 676, 875, 1114, 2010, 540, 5022, 1223, 1689, 519, 1413, 543, 1745, 540, 513, 3896, 269, 2701, 4362, 602, 1142, 13944, 1185, 922, 2189, 7209, 799, 8329, 547, 519, 2949, 9029, 540, 519, 3135, 269, 11531, 267, 681, 13704, 4121, 602, 1818, 2386, 782, 519, 5931, 941, 2653, 547, 1224, 729, 1898, 865, 602, 8436, 9327, 1405, 1205, 21616, 543, 4734, 780, 7628, 741, 7045, 267, 789, 1558, 17659, 519, 15952, 532, 267, 945, 4951, 873, 875, 1978, 6163, 540, 1462, 2762, 1223, 2099, 1808, 4606, 543, 2093, 267, 2870, 513, 2178, 3961, 585, 4213, 543, 3906, 269, 3973, 3357, 1261, 21355, 519, 28762, 8944, 267, 3450, 938, 8049, 5918, 334, 827, 25786, 1257, 7306, 3927, 267, 13057, 1004, 689, 835, 3296, 547, 1776, 16900, 780, 4913, 267, 711, 1169, 1915, 789, 11402, 3838, 5363, 5796, 269, 2311, 519, 6316, 540, 15750, 6807, 267, 789, 1336, 9197, 1678, 344, 25037, 267, 945, 5156, 4946, 1932, 1082, 17804, 23935, 1131, 1118, 513, 3896, 13267, 269, 1809, 1310, 7487, 1896, 11821, 8436, 6028, 1010, 804, 18636, 1229, 2985, 267, 646, 7691, 602, 3666, 543, 10103, 20974, 1229, 1034, 780, 1103, 3932, 267, 1247, 570, 11035, 543, 681, 13704, 2219, 789, 6785, 3388, 827, 1462, 2762, 267, 789, 6956, 602, 3478, 621, 3501, 2838, 6236, 1585, 2188, 899, 31824, 267, 32107, 267, 15796, 267, 543, 3666, 269, 1717, 267, 5103, 1565, 891, 3407, 4245, 267, 950, 789, 8120, 1753, 267, 789, 8068, 1945, 6397, 282, 741, 1378, 4884, 781, 1129, 4580, 6743, 26093, 543, 796, 1952, 324, 2718, 1813, 547, 4057, 1462, 2762, 5079, 256, 901, 20185, 2451, 873, 5462, 547, 3262, 4656, 2429, 15750, 6807, 267, 4180, 1100, 824, 1747, 11124, 689, 2147, 1462, 657, 2389, 770, 5268, 625, 1586, 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, 22081, 1281, 1462, 2762, 1764, 519, 2949, 9029, 540, 513, 3896, 543, 1018, 2553, 798, 596, 946, 547, 1711, 606, 26374, 1462, 2762, 1374, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 2833, 610, 7375, 267, 855, 1934, 568, 930, 2489, 1344, 827, 1462, 2762, 543, 922, 1764, 593, 7270, 1384, 23777, 2762, 4249, 513, 2629, 1909, 538, 519, 2949, 9029, 540, 513, 3896, 269, 898, 666, 1118, 610, 2736, 519, 1259, 3755, 13498, 707, 3896, 269, 3371, 616, 930, 2081, 1462, 2762, 5540, 519, 3896, 781, 5920, 1384, 272, 269, 3367, 1464, 1107, 1403, 519, 3896, 781, 1462, 2762, 568, 2182, 547, 1224, 267, 3755, 786, 723, 8373, 2469, 998, 519, 1543, 267, 799, 786, 1860, 519, 3896, 781, 2949, 9029, 780, 273, 269, 15952, 532, 1107, 11978, 2762, 666, 581, 513, 3532, 1907, 585, 32107, 5301, 269, 634, 1318, 13944, 2511, 543, 1826, 2183, 666, 18427, 4664, 543, 1711, 513, 2631, 540, 6216, 3961, 780, 274, 269, 28762, 8944, 1107, 11978, 2762, 666, 948, 3715, 513, 3308, 15796, 602, 10274, 519, 3755, 998, 519, 1543, 269, 898, 2337, 873, 1174, 799, 1344, 568, 811, 1271, 610, 3750, 2275, 10248, 780, 275, 269, 589, 525, 628, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1773, 1092, 845, 11362, 281, 634, 812, 1281, 513, 1688, 1056, 543, 2887, 689, 519, 1688, 1056, 883, 519, 1216, 269, 634, 1985, 812, 3274, 8255, 543, 546, 1161, 1247, 1166, 6235, 883, 519, 1216, 269, 634, 3803, 812, 454, 271, 269, 3338, 538, 519, 1216, 543, 1159, 3796, 547, 519, 8254, 563, 272, 269, 2306, 621, 1082, 3952, 1354, 2244, 543, 6763, 1394, 909, 547, 1413, 585, 519, 15468, 812, 563, 273, 269, 1281, 513, 811, 2757, 4685, 563, 274, 269, 568, 3182, 3293, 9849, 513, 11058, 543, 1281, 1166, 2354, 538, 519, 2011, 543, 3338, 593, 1283, 540, 513, 3684, 563, 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 ]
[ 0, 9223, 281, 1548, 729, 519, 1292, 18535, 5645, 676, 519, 804, 23124, 12338, 1399, 590, 1046, 454, 12585, 281, 21281, 454, 2704, 328, 1162, 281, 21281, 28823, 267, 12243, 601, 1512, 267, 21281, 23516, 267, 21281, 7041, 267, 12019, 1532, 4319, 539, 7401, 267, 1855, 1446, 2314, 267, 21281, 544, 4770, 267, 30179, 532, 7401, 267, 21281, 6978, 267, 21281, 630, 323, 8667, 1070, 6008, 788, 539, 21281, 267, 19748, 517, 7401, 267, 20010, 21281, 267, 3778, 540, 7401, 538, 9705, 267, 17667, 21281, 267, 21281, 6978, 338, 267, 700, 5366, 7401, 267, 21281, 24873, 267, 21281, 3762, 267, 21281, 267, 19067, 540, 7401, 267, 21281, 3395, 267, 3212, 778, 7401, 267, 4095, 7401, 267, 30179, 532, 630, 974, 320, 1070, 623, 924, 28838, 267, 21281, 588, 718, 267, 717, 712, 5471, 7401, 267, 2382, 656, 7401 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2467, 616, 1100, 1930, 9634, 585, 713, 1362, 267, 855, 649, 1336, 1945, 2147, 2336, 276, 269, 271, 630, 277, 264, 5788, 12698, 476, 274, 268, 277, 454, 1692, 547, 2422, 2480, 19538, 1299, 3794, 826, 853, 6506, 454, 276, 269, 271, 630, 277, 264, 5788, 12698, 476, 274, 268, 276, 454, 293, 710, 16359, 7591, 281, 15043, 20963, 16359, 10341, 2336, 276, 269, 271, 630, 276, 264, 5788, 12698, 476, 275, 268, 277, 454, 306, 852, 344, 781, 2480, 19538, 543, 3794, 826, 853, 6506, 8342, 2336, 276, 269, 271, 630, 273, 264, 5788, 12698, 476, 274, 268, 276, 454, 293, 710, 16359, 8342, 2336, 276, 269, 271, 630, 16928, 264, 5788, 12698, 476, 274, 268, 276, 454, 293, 710, 16359, 543, 4317, 10341, 2060, 1684, 327, 454, 276, 269, 271, 630, 1704, 264, 5788, 12698, 476, 280, 268, 1724, 454, 18118, 5071, 338, 281, 14301, 20514, 543, 25609, 547, 8073, 23433, 3203, 454, 3598, 2996, 829, 1362, 454, 1692, 1281, 513, 968, 3080, 6874, 830, 892, 1362, 960, 888, 9288, 1115, 2899, 693, 513, 16516, 942, 454, 299, 633, 3381, 10004, 267, 6592, 543, 16913, 585, 3106, 543, 2298, 454, 15124, 585, 3695, 1007, 4690, 543, 1114, 6163, 540, 3610, 454, 1692, 4934, 25217, 3718, 454, 2467, 616, 1100, 1930, 9634, 585, 713, 1362, 563, 2791, 666, 7662, 1776, 942, 610, 20801, 1524, 547, 1265, 811, 5049, 899, 713, 563, 1103, 713, 835, 942, 1362, 267, 1053, 786, 1451, 1187, 2081, 547, 2259, 741, 5386, 5179, 1983, 1210, 23805, 256, 1284, 786, 946, 23805, 547, 2759, 2059, 3515, 593, 513, 7300, 602, 786, 581, 3177, 676, 519, 4116, 269, 634, 4116, 786, 1683, 930, 4287, 607, 547, 875, 547, 3180, 23805, 543, 930, 1085, 1170, 528, 3106, 4388, 607, 1134, 269, 634, 1053, 786, 581, 2111, 547, 2259, 5969, 676, 1739, 1808, 3515, 593, 519, 1957, 971, 607, 2786, 3515, 267, 795, 698, 3022, 3515, 267, 543, 530, 8283, 3515, 269, 1284, 786, 849, 723, 1187, 3257, 513, 5969, 2534, 1210, 513, 2483, 272, 3758, 2139, 2390, 27350, 14457, 30453, 17718, 2922, 23805, 7433, 700, 4875, 20045, 4460, 619, 454, 7075, 2996, 786, 711, 991, 547, 946, 1022, 8924, 610, 7270, 3564, 519, 3044, 4934, 25217, 2645, 563, 736, 3764, 829, 3018, 538, 1362, 267, 543, 6148, 930, 942, 3544, 540, 1362, 563, 1607, 1362, 18252, 23805, 563, 9288, 12174, 13643, 267, 631, 269, 3798, 563, 299, 633, 267, 700, 2795, 267, 6258, 267, 1299, 22320, 454, 6930, 485, 374, 6930, 485, 372, 299, 1161, 538, 519, 2136, 2276, 454, 279, 3451, 2698, 8039, 454, 26341, 6192, 5049, 454, 15916, 547, 15526, 256, 3733, 2012, 568, 7323, 2725, 12174, 543, 594, 666, 1406, 7227, 547, 2743, 707, 1126, 269, 594, 2972, 3450, 513, 3099, 540, 5049, 585, 9251, 543, 2038, 10026, 6502, 269, 594, 3180, 513, 9457, 781, 23422, 538, 7216, 19974, 7981, 4065, 269, 2311, 519, 4098, 540, 1250, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1215, 1279, 1058, 3574, 15441, 1305, 547, 2327, 513, 6109, 3180, 540, 519, 3574, 888, 271, 269, 3794, 826, 1058, 1305, 476, 1015, 3764, 547, 2327, 513, 6109, 3180, 563, 272, 269, 3794, 826, 1058, 1305, 693, 2547, 16074, 547, 2327, 6109, 3180, 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, 1, 1, 1 ]
[ 0, 9558, 322, 31424, 6419, 14242, 267, 1141, 6419, 20512, 616, 9447, 1875, 2987, 11663, 1947, 998, 519, 15693, 547, 10161, 1880, 4525, 540, 519, 2634, 267, 568, 513, 9621, 4480, 609, 3156, 602, 1223, 2039, 689, 5818, 539, 8823, 547, 4389, 1426, 26351, 269, 3767, 267, 3744, 3695, 922, 1761, 547, 10994, 3075, 8213, 723, 1336, 602, 621, 666, 14927, 523, 2634, 2534, 538, 3210, 547, 1455, 12153, 267, 609, 6286, 585, 1312, 519, 1646, 540, 1007, 6219, 6057, 5574, 543, 938, 1620, 540, 23798, 269, 630, 9802, 476, 1626, 267, 476, 1001, 279, 994, 335, 10062, 676, 519, 4741, 585, 11020, 10890, 2319, 540, 3744, 454, 31416, 17607, 10432, 281, 11150, 585, 3962, 5020, 8609, 454, 31917, 11020, 17607, 10432, 256, 1403, 596, 1223, 32708, 3330, 707, 2634, 693, 1169, 14512, 267, 596, 1131, 1294, 602, 621, 568, 7683, 4657, 269, 11020, 2281, 1020, 543, 14897, 267, 519, 4296, 1063, 873, 7794, 543, 14020, 936, 942, 267, 1256, 519, 2450, 540, 519, 2634, 666, 1689, 607, 519, 1296, 979, 676, 269, 1809, 5329, 519, 2634, 538, 8445, 2783, 568, 1945, 649, 4043, 547, 1589, 827, 1152, 693, 519, 4098, 540, 1272, 267, 519, 1439, 540, 1272, 267, 543, 950, 1945, 4422, 4636, 563, 13126, 281, 27096, 344, 3767, 454, 7197, 3367, 15080, 454, 268, 9628, 17650, 2317, 281, 1215, 707, 2634, 23297, 519, 1004, 596, 7287, 454, 268, 6481, 2473, 12304, 281, 27096, 1235, 3717, 856, 827, 4008, 29373, 693, 2518, 8482, 11018, 454, 268, 28358, 12053, 281, 1715, 569, 14954, 12058, 2303, 5621, 745, 1143, 568, 2182, 2914, 1600, 454, 268, 772, 18444, 281, 26579, 5532, 547, 1981, 540, 4666, 31586, 1826, 540, 8482, 454, 268, 5240, 5336, 20510, 281, 11671, 27023, 1235, 1397, 875, 519, 2634, 20781, 547, 9403, 454, 14294, 909, 585, 938, 5240, 12072, 454, 12812, 1934, 547, 24049, 585, 519, 5767, 3377, 593, 11020, 2657, 3842, 4757, 3377, 24393, 563, 8138, 2466, 707, 1543, 585, 8313, 593, 11020, 10890, 291, 2905, 2593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1320, 8974, 28323, 1860, 5266, 1507, 2127, 950, 3379, 609, 15049, 21814, 543, 15604, 23566, 338, 563, 8601, 741, 1507, 2450, 267, 782, 19711, 28323, 616, 5906, 269, 5272, 19711, 10445, 7472, 17500, 267, 799, 19754, 811, 1004, 1142, 1032, 982, 14324, 29777, 269, 24581, 4764, 689, 19711, 28323, 666, 1291, 547, 8755, 14700, 269, 16200, 12798, 267, 30339, 267, 543, 14324, 29777, 616, 849, 12178, 2404, 609, 930, 774, 8974, 28323, 563, 8170, 519, 6059, 476, 1911, 267, 1822, 19711, 28323, 602, 2049, 1142, 1032, 538, 519, 2136, 2276, 267, 1152, 827, 476, 1015, 2600, 616, 9286, 607, 4049, 563, 310, 2969, 6224, 2464, 6730, 654, 27073, 5058, 306, 454, 30812, 1431, 616, 1318, 585, 4049, 19711, 28323, 547, 1106, 269, 1879, 707, 1858, 568, 896, 513, 27275, 774, 8974, 10445, 13772, 267, 3136, 547, 3251, 22934, 547, 26146, 12717, 476, 274, 585, 2009, 21855, 563, 288, 27275, 774, 8974, 10445, 814, 1044, 19481, 676, 513, 8036, 20626, 610, 9571, 593, 16986, 269, 6875, 2962, 5612, 269, 589, 7088, 568, 9286, 4049, 952, 621, 7472, 30339, 693, 2547, 382, 378, 268, 10759, 538, 8006, 267, 2842, 476, 6812, 18890, 610, 2362, 267, 610, 14324, 29777, 563, 8025, 26685, 2207, 4306, 3036, 300, 14408, 293, 4953, 312, 30263, 4916, 454, 268, 1403, 596, 666, 5873, 19711, 267, 596, 616, 2673, 2614, 547, 519, 7088, 547, 581, 13351, 676, 17500, 269, 3619, 547, 2922, 12062, 5612, 2336, 268, 8844, 547, 513, 19756, 2679, 269, 11298, 10691, 1491, 12062, 538, 1507, 24259, 610, 896, 9678, 4054, 563, 268, 1403, 8752, 940, 568, 9648, 543, 513, 19756, 12062, 568, 711, 2139, 267, 1205, 3330, 513, 2182, 1283, 18914, 543, 1832, 519, 9486, 909, 269, 11298, 10691, 1491, 12062, 538, 6460, 1043, 26873, 563, 268, 13773, 2476, 689, 9486, 267, 9885, 267, 588, 7174, 267, 29826, 543, 29636, 563, 268, 2422, 11436, 1152, 538, 606, 6595, 269, 17791, 7483, 3515, 543, 4496, 12992, 2932, 5201, 269, 1133, 680, 1872, 14233, 711, 2556, 585, 13844, 4365, 1344, 269, 3680, 1210, 519, 15146, 610, 1022, 5122, 14233, 563, 268, 12414, 1055, 2011, 2783, 619, 269, 5295, 1147, 2471, 689, 8752, 940, 666, 20358, 519, 14771, 832, 563, 268, 5192, 547, 2362, 2666, 952, 18044, 24627, 532, 610, 24627, 532, 568, 2009, 563, 2252, 1411, 3657, 4934, 13073, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9741, 15207, 729, 2141, 8049, 827, 875, 1919, 5249, 267, 2523, 950, 621, 3357, 547, 1010, 1560, 269, 1261, 1185, 4862, 602, 3744, 941, 3843, 547, 1265, 2081, 547, 5838, 2027, 7067, 6090, 547, 948, 1004, 609, 19210, 525, 538, 741, 12058, 269, 901, 17275, 1010, 1719, 543, 646, 4956, 547, 979, 593, 513, 3460, 547, 1451, 811, 2439, 20755, 3240, 1558, 3220, 269, 12829, 344, 623, 1218, 267, 945, 6045, 267, 968, 2171, 946, 6263, 5536, 1572, 2048, 28309, 573, 20543, 685, 547, 9108, 4163, 7067, 6090, 2066, 1945, 1572, 519, 1412, 29188, 1532, 1778, 11064, 9538, 898, 781, 899, 513, 2178, 3774, 7863, 519, 2634, 267, 865, 649, 991, 5100, 2370, 5536, 547, 1930, 519, 7450, 543, 3142, 519, 5363, 6090, 2047, 547, 519, 1318, 1747, 14325, 7804, 269, 12829, 344, 623, 1218, 4797, 267, 968, 3080, 1259, 649, 798, 713, 568, 676, 4946, 2027, 29654, 267, 1634, 607, 14270, 1343, 610, 12489, 267, 5196, 519, 20188, 20543, 269, 5994, 789, 2811, 2706, 15441, 15956, 602, 8936, 1152, 547, 1978, 2010, 540, 2281, 538, 519, 2634, 980, 1107, 2186, 540, 899, 10297, 4466, 741, 12805, 17158, 525, 256, 10640, 2750, 322, 1243, 569, 267, 15207, 4280, 267, 968, 3383, 267, 2899, 1346, 5444, 5022, 12446, 267, 1018, 4523, 1985, 9495, 3220, 269, 12829, 344, 623, 1218, 14452, 267, 968, 17829, 9354, 6090, 2285, 5528, 547, 519, 1591, 12227, 267, 4543, 621, 1118, 5946, 602, 4339, 3676, 543, 1832, 938, 4703, 2635, 269, 1809, 3314, 267, 1256, 1498, 2257, 814, 2097, 2484, 267, 3006, 621, 1869, 8188, 2591, 269, 3502, 782, 519, 6090, 949, 3914, 741, 9072, 267, 799, 1797, 649, 1590, 3136, 1565, 543, 6427, 532, 1007, 2081, 547, 2087, 15323, 4517, 8197, 267, 5103, 741, 1655, 3646, 267, 3006, 1346, 14229, 21294, 6090, 1131, 1491, 4636, 7140, 610, 1205, 4503, 2059, 519, 1259, 269, 8616, 267, 1142, 3801, 6026, 873, 3407, 4245, 267, 22348, 3025, 602, 5821, 568, 3274, 851, 540, 519, 3621, 1184, 910, 835, 2462, 1900, 6251, 547, 1967, 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, 22081, 666, 519, 6098, 6765, 540, 9354, 6090, 547, 519, 2634, 980, 581, 6913, 1210, 4359, 20188, 17560, 14835, 2029, 2496, 4415, 519, 946, 540, 4359, 20188, 17560, 14835, 2029, 267, 5730, 543, 6098, 6765, 540, 9354, 6090, 547, 6946, 8849, 5121, 1369, 519, 2634, 980, 666, 581, 6913, 563, 28723, 20188, 17560, 14835, 2029, 4016, 547, 519, 4702, 540, 20543, 1500, 540, 26307, 602, 666, 2149, 543, 3560, 9354, 6675, 883, 1808, 2281, 543, 8031, 269, 769, 519, 2013, 540, 2634, 980, 6765, 267, 891, 20188, 20543, 666, 581, 2966, 547, 3444, 519, 1973, 1532, 1778, 11064, 543, 28729, 3077, 2281, 538, 519, 2634, 980, 3148, 780, 15703, 2994, 723, 1044, 6069, 547, 3035, 6098, 6765, 540, 9354, 6090, 547, 519, 2634, 980, 1210, 20188, 20543, 269, 2290, 1935, 3322, 519, 946, 540, 14270, 1343, 610, 12489, 602, 666, 5431, 1808, 13364, 593, 519, 2627, 540, 2634, 980, 2281, 269, 1452, 14270, 1343, 666, 581, 17788, 730, 547, 519, 2627, 540, 20188, 20543, 267, 3850, 873, 547, 13276, 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 ]
[ 0, 23219, 1067, 12084, 26763, 856, 476, 1691, 260, 540, 18625, 538, 513, 8717, 454, 763, 1158, 814, 4503, 930, 476, 1556, 267, 10384, 13483, 5998, 540, 14147, 18625, 936, 519, 2250, 8717, 5631, 1813, 547, 2916, 1689, 267, 811, 982, 782, 519, 2713, 14147, 538, 5245, 267, 513, 1353, 814, 1336, 563, 763, 4102, 2079, 540, 2518, 11818, 1072, 547, 4266, 7000, 602, 476, 1691, 829, 1298, 540, 519, 1158, 779, 14147, 814, 1044, 4503, 1063, 476, 1220, 280, 543, 476, 1001, 279, 267, 7361, 1813, 547, 26389, 538, 4262, 2627, 5210, 602, 2490, 18625, 3043, 563, 763, 6820, 4856, 531, 24035, 16424, 8416, 267, 513, 6167, 30845, 10872, 267, 21845, 1239, 6394, 676, 476, 4968, 3744, 689, 476, 1321, 267, 1822, 4609, 538, 476, 10463, 2477, 563, 2005, 1336, 602, 519, 2530, 729, 5631, 1813, 547, 14147, 6926, 2286, 267, 799, 4523, 950, 27712, 267, 896, 2566, 689, 15911, 1216, 267, 1163, 601, 519, 7990, 995, 13479, 2713, 538, 741, 8031, 269, 2290, 4049, 6926, 2286, 2680, 538, 476, 1960, 279, 4805 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1530, 642, 320, 513, 2822, 597, 19448, 30775, 542, 679, 3288, 6446, 694, 1286, 1146, 4337, 25333, 586, 694, 9856, 523, 16948, 561, 826, 2998, 32488, 541, 20393, 513, 3288, 2699, 632, 5996, 563, 258, 2005, 568, 3989, 513, 8034, 794, 538, 799, 2592, 616, 16041, 543, 10710, 538, 1931, 547, 946, 538, 513, 23711, 692, 258, 5353, 851, 324, 632, 6446, 15255, 4337, 25333, 5067, 547, 323, 553, 28075, 783, 525, 632, 23984, 1415, 334, 454, 258, 2005, 568, 9277, 602, 782, 519, 2592, 723, 519, 1482, 2450, 270, 27729, 780, 5814, 20956, 273, 454, 5814, 15259, 454, 5814, 12005, 454, 5814, 11885, 607, 5286, 7531, 3698, 595, 1173, 541, 3412, 263, 514, 24786, 2187, 825, 3239, 8217, 17342, 6540, 825, 4337, 25333, 815, 15259, 269, 4289, 323, 597, 263, 514, 24786, 9239, 825, 1948, 8867, 655, 657, 524, 3385, 19448, 632, 15255, 4337, 25333, 454, 825, 585, 1064, 20601, 267, 4337, 523, 538, 26246, 263, 574, 10402, 525, 17107, 1038, 708, 284, 12005, 269, 13449, 263, 514, 24786, 1341, 26230, 1341, 4337, 523, 994, 1038, 708, 284, 12639, 15126, 263, 574, 994, 1038, 3239, 8217, 6910, 263, 574, 2020, 825, 2132, 3239, 8217, 7531, 3698, 1292, 3890, 1384, 825, 538, 24786, 8782, 270, 24610, 270, 2041, 12711, 27582, 2675, 761, 528, 1470, 270, 1492, 8457, 14727, 1173, 541, 3412, 10402, 525, 28847, 825, 3239, 8217, 284, 290, 1173, 541, 3412, 263, 514, 24786, 2020, 825, 23984, 284, 6352, 263, 13548, 8217, 2020, 825, 1820, 18011, 4289, 320, 5073, 825, 1820, 3239, 8217, 692, 825, 1820, 9497, 307, 600, 1415, 334, 30458, 5602, 825, 1820, 23984 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12709, 9732, 9732, 4855, 519, 8953, 540, 513, 12106, 4171, 2627, 1858, 568, 476, 15150, 4699, 273, 692, 258, 4855, 519, 8953, 540, 513, 12106, 4171, 2627, 1858, 568, 476, 15150, 4699, 273, 692, 2162, 7726, 692, 8340, 519, 8953, 540, 513, 12106, 4171, 2627, 1858, 568, 476, 15150, 4699, 273, 692, 288, 264, 476, 278, 269, 876, 4699, 692, 289, 264, 476, 274, 269, 2004, 4699, 692, 290, 264, 476, 274, 269, 876, 4699, 692, 291, 264, 476, 272, 269, 4037, 4699, 692, 2162, 19247, 1384, 476, 15150, 815, 476, 275, 1535, 476, 2420, 1535, 678, 273, 476, 278, 454, 476, 15150, 343, 278, 815, 678, 273, 476, 275, 343, 2420, 692, 5392, 270, 275, 1109, 815, 678, 454, 476, 278, 815, 678, 476, 273, 692, 30043, 337, 815, 476, 274, 269, 2004, 692, 1012, 667, 545, 15664, 630, 272, 2020, 1892, 476, 476, 15150, 815, 476, 275, 1535, 476, 2420, 1535, 678, 273, 476, 278, 454, 476, 15150, 343, 278, 815, 678, 273, 476, 275, 343, 2420, 692, 5392, 270, 275, 1109, 815, 678, 454, 476, 278, 815, 678, 476, 273, 692, 30043, 337, 815, 476, 274, 269, 2004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 11728, 4569, 476, 8618, 692, 19667, 529, 2225, 18873, 454, 8512, 476, 272, 281, 11790, 540, 7060, 540, 476, 1015, 692, 288, 1455, 1888, 538, 4571, 7400, 513, 761, 8714, 616, 4255, 547, 3313, 2436, 513, 1297, 568, 16883, 676, 513, 2016, 1507, 8870, 1510, 17596, 547, 1685, 513, 2407, 6498, 282, 585, 1383, 267, 602, 513, 1297, 568, 16883, 676, 8370, 952, 543, 1152, 952, 519, 2040, 540, 922, 9704, 568, 849, 513, 2789, 540, 8370, 269, 1160, 1324, 891, 3652, 267, 2705, 267, 666, 4125, 513, 3787, 540, 2362, 1377, 2979, 267, 971, 607, 22606, 12980, 610, 824, 1297, 7308, 648, 6776, 7744, 269, 4653, 267, 594, 786, 2015, 519, 14724, 540, 8954, 2225, 4255, 282, 1346, 585, 2188, 540, 7060, 540, 4557, 267, 799, 616, 2241, 1813, 547, 938, 946, 540, 519, 3490, 268, 1084, 1297, 1062, 780, 5575, 267, 8954, 7441, 640, 676, 4557, 568, 3274, 1033, 655, 1441, 676, 2436, 610, 711, 519, 3283, 7857, 568, 4642, 282, 8954, 7441, 640, 676, 476, 1911, 282, 676, 2436, 519, 3283, 543, 9937, 9704, 616, 1312, 4642, 282, 543, 865, 593, 269, 634, 2601, 568, 6654, 563, 9202, 267, 649, 1294, 602, 8954, 756, 14923, 676, 519, 2188, 540, 476, 1015, 267, 476, 273, 543, 476, 276, 267, 849, 4096, 1152, 593, 519, 3283, 7857, 281, 513, 1297, 568, 16883, 676, 476, 273, 630, 16838, 264, 952, 543, 1152, 952, 519, 3283, 7857, 568, 1256, 267, 543, 513, 1297, 568, 16883, 676, 2947, 952, 543, 1152, 952, 519, 3283, 7857, 568, 476, 271, 610, 476, 276, 780, 17829, 2338, 799, 7941, 476, 1911, 855, 711, 476, 1015, 7941, 513, 1297, 1152, 952, 789, 7941, 519, 2063, 1079, 9704, 269, 901, 3947, 721, 519, 3652, 585, 476, 275, 267, 476, 736, 267, 476, 1839, 267, 543, 476, 2004, 780, 2690, 2338, 12270, 476, 1911, 271, 855, 711, 476, 1911, 267, 649, 1449, 519, 2063, 1614, 9704, 269, 901, 3947, 519, 4255, 585, 476, 279, 267, 476, 2412, 267, 476, 10219, 267, 476, 1220, 267, 476, 7742, 267, 543, 476, 4335, 780, 4517, 865, 593, 269, 1452, 267, 607, 649, 666, 1294, 267, 616, 2241, 267, 543, 616, 6654, 4539, 540, 938, 3490, 268, 1084, 1062, 780, 2162, 2290, 15863, 547, 968, 31388, 4569, 476, 8618, 10640, 272, 269, 803, 545, 1156, 331, 590, 904, 1384, 2690, 1269, 273, 18898, 8961, 1934, 779, 606, 8763, 5690, 1210, 519, 2063, 1269, 333, 259, 9704, 780, 19667, 728, 519, 4559, 7857, 676, 1079, 269, 1403, 713, 568, 711, 606, 8870, 267, 3247, 269, 898, 779, 711, 16883, 676, 1269, 273, 18898, 14204, 11754, 519, 1985, 7857, 630, 821, 1379, 540, 4557, 3152, 264, 543, 7941, 676, 1079, 269, 1403, 713, 568, 711, 606, 8870, 267, 3247, 630, 11687, 14543, 1040, 1403, 621, 568, 606, 8870, 543, 596, 723, 1031, 782, 1269, 333, 259, 9704, 2907, 267, 3247, 630, 338, 15471, 1916, 516, 701, 520, 3105, 692, 3383, 547, 1449, 476, 279, 3445, 275, 585, 476, 273, 317, 275, 815, 476, 1626, 267, 596, 8910, 798, 1384, 275, 270, 273, 815, 476, 273, 454, 273, 266, 271, 815, 476, 273, 269, 476, 273, 270, 273, 815, 476, 272, 563, 272, 266, 280, 815, 476, 1015, 269, 476, 1015, 270, 273, 815, 476, 276, 563, 276, 266, 279, 815, 476, 1724, 269, 476, 1724, 270, 273, 815, 476, 277, 269, 276, 692, 3383, 476, 279, 3445, 275, 568, 711, 513, 2789, 540, 476, 1626, 267, 855, 621, 568, 513, 2789, 540, 476, 279, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11133, 25507, 9272, 15405, 333, 4548, 284, 4289, 9852, 777, 17301, 267, 6358, 14061, 20889, 2891, 834, 21875, 604, 7003, 25225, 264, 2525, 272, 912, 825, 952, 15358, 314, 271, 316, 256, 284, 271, 912, 1038, 1820, 8987, 272, 994, 825, 3116, 912, 1038, 1820, 2891, 16810, 5602, 12828, 912, 825, 952, 15358, 15631, 272, 316, 285, 333, 4548, 15631, 273, 316, 10778, 1038, 952, 15358, 15631, 272, 316, 2525, 1428, 912, 2018, 1820, 2891, 291, 32052, 5602, 1038, 3116, 912, 2018, 1820, 2891, 16810, 5602, 825, 3116, 912, 1038, 952, 15358, 15631, 272, 316, 2525, 271, 912, 2018, 1820, 2891, 16810, 5602, 1038, 3116, 912, 2018, 1820, 2891, 291, 32052, 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, 310, 3931, 12810, 1315, 5181, 476, 277, 267, 476, 1001, 279, 1315, 4201, 4379, 9050, 333, 1512, 563, 2304, 3167, 1286, 5179, 13324, 676, 513, 6007, 3640, 610, 513, 5916, 1895, 540, 9075, 602, 1683, 519, 2556, 1379, 23418, 569, 269, 901, 9901, 1379, 568, 17216, 14931, 676, 513, 17120, 31942, 602, 21314, 6007, 3761, 547, 519, 3167, 5179, 267, 547, 2327, 602, 2599, 1568, 2500, 543, 786, 711, 3489, 26151, 856, 269, 2334, 568, 513, 3551, 4605, 540, 875, 606, 3167, 1286, 1568, 269, 1403, 596, 2015, 519, 7294, 4605, 267, 3388, 596, 666, 7747, 666, 581, 606, 5122, 1982, 602, 568, 3812, 909, 540, 1896, 2694, 971, 585, 1383, 535, 4926, 267, 20794, 267, 543, 12904, 1949, 269, 15379, 11443, 689, 519, 3167, 6007, 1463, 338, 1699, 547, 3875, 3334, 267, 543, 1945, 540, 535, 4926, 5713, 607, 513, 3106, 1062, 585, 19670, 3167, 10997, 269, 15316, 2609, 602, 1118, 909, 519, 1286, 5122, 1062, 1331, 513, 6007, 267, 20794, 267, 25146, 267, 3059, 17120, 267, 5911, 267, 5907, 28339, 267, 535, 639, 1043, 5409, 15062, 267, 543, 6467, 563, 2467, 616, 3875, 2010, 540, 9075, 2966, 585, 946, 538, 3167, 6517, 269, 19139, 540, 1591, 1058, 4099, 593, 10715, 267, 1379, 543, 2298, 3761, 269, 32087, 538, 891, 616, 1870, 1291, 3679, 267, 19695, 31475, 28351, 3289, 20183, 267, 543, 16864, 9357, 269, 2986, 782, 1614, 2010, 267, 519, 1034, 4583, 568, 6355, 1291, 18729, 269, 898, 568, 519, 9803, 14617, 3167, 6007, 1826, 621, 568, 849, 476, 9032, 260, 6691, 762, 269, 2290, 799, 568, 10545, 538, 17114, 949, 581, 519, 19077, 1756, 594, 517, 3167, 6007, 607, 621, 7727, 519, 1655, 2949, 2773, 543, 1256, 2039, 269, 898, 568, 2556, 547, 771, 2897, 1286, 9075, 1169, 476, 274, 547, 476, 275, 1296, 563, 763, 9823, 695, 2863, 267, 851, 1297, 476, 3707, 6924, 3082, 338, 547, 3044, 31455, 11593, 267, 2460, 29601, 610, 31455, 1826, 3167, 6007, 23525, 269, 634, 695, 2863, 1590, 1439, 909, 1373, 1305, 909, 593, 519, 910, 630, 327, 1301, 995, 264, 14603, 540, 519, 3167, 6007, 563, 2171, 752, 610, 8697, 27307, 2609, 949, 960, 609, 513, 1134, 7302, 20149, 6007, 543, 3579, 2175, 4794, 26476, 1176, 267, 2705, 267, 950, 519, 3167, 6007, 19380, 922, 2627, 1858, 5279, 267, 610, 519, 8708, 646, 1846, 909, 267, 3765, 325, 3931, 4927, 4755, 269, 8899, 6453, 543, 2362, 2837, 9832, 1312, 991, 519, 27307, 547, 1599, 9875, 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 ]