Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 2162, 5851, 3436, 595, 7563, 273, 3436, 3848, 476, 1321, 3436, 7689, 476, 1321, 269, 272, 269, 275, 3436, 9046, 1321, 268, 10619, 692, 1321, 268, 10619, 780, 8340, 519, 3830, 540, 513, 12945, 1599, 602, 814, 1269, 344, 815, 1535, 317, 274, 259, 607, 922, 2385, 3113, 267, 513, 1327, 1807, 1448, 693, 1269, 8987, 277, 267, 910, 1015, 29408, 543, 10596, 998, 519, 5169, 780, 27802, 3482, 519, 1327, 1807, 1448, 630, 327, 267, 737, 264, 883, 519, 2489, 3830, 454, 259, 344, 815, 513, 3287, 910, 554, 8203, 274, 1341, 737, 269, 6911, 8196, 519, 1634, 1448, 267, 824, 982, 519, 1327, 1807, 1448, 602, 6013, 593, 519, 3113, 267, 547, 4194, 454, 1721, 519, 12701, 3815, 267, 1269, 320, 10608, 769, 713, 2013, 267, 596, 616, 2016, 519, 5169, 267, 18159, 271, 267, 476, 271, 30879, 16534, 585, 513, 454, 663, 2328, 519, 3830, 540, 519, 1599, 780, 259, 271, 815, 513, 263, 271, 1341, 476, 277, 264, 910, 476, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 3918, 310, 2207, 1107, 4873, 476, 866, 568, 1634, 607, 519, 1554, 8474, 8694, 538, 519, 2136, 2276, 563, 4002, 4873, 476, 866, 267, 476, 5908, 276, 267, 519, 1931, 3045, 23395, 519, 1439, 540, 519, 6406, 2782, 729, 1224, 16965, 538, 7147, 563, 6546, 23318, 849, 29064, 782, 10437, 941, 15685, 5443, 563, 1607, 1032, 267, 519, 11812, 540, 519, 1554, 267, 1634, 607, 9947, 564, 7570, 267, 786, 581, 4371, 8335, 563, 17606, 779, 1114, 689, 519, 2250, 476, 1691, 1296, 649, 4076, 9976, 621, 1934, 267, 1317, 540, 519, 2669, 540, 6723, 4469, 20477, 267, 799, 814, 26871, 828, 730, 543, 1185, 606, 1198, 711, 1152, 1934, 538, 3013, 855, 782, 936, 519, 1158, 2223, 1767, 6276, 24430, 1676, 540, 519, 19051, 5274, 7126, 29663, 267, 7555, 693, 25679, 331, 664, 15213, 5244, 538, 30179, 518, 1141, 519, 5993, 11812, 568, 7363, 4371, 563, 309, 541, 1676, 3081, 646, 3580, 2132, 547, 519, 6288, 593, 4873, 476, 866, 547, 8661, 267, 855, 3079, 540, 16475, 513, 1804, 11018, 267, 519, 11812, 786, 581, 4130, 538, 2450, 1317, 540, 519, 11452, 563, 763, 476, 6434, 4458, 6040, 24430, 1676, 3081, 4469, 20477, 779, 12638, 814, 3361, 1004, 547, 2097, 1927, 538, 2081, 646, 779, 2760, 2938, 538, 1010, 10715, 563, 4002, 2904, 476, 1839, 267, 4469, 20477, 729, 7166, 676, 513, 3687, 928, 24550, 7128, 11464, 945, 9054, 601, 539, 593, 1010, 8405, 2394, 646, 11074, 7244, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18131, 3297, 645, 1513, 454, 268, 476, 4375, 275, 20042, 454, 8269, 22162, 513, 3395, 3332, 593, 2021, 779, 26646, 267, 667, 10005, 2405, 997, 2714, 630, 1220, 278, 267, 533, 269, 26727, 264, 4967, 602, 13840, 621, 814, 1044, 513, 2048, 3333, 20760, 344, 7613, 685, 607, 519, 15768, 2115, 540, 2021, 14586, 723, 7283, 796, 30009, 267, 9872, 958, 7449, 25390, 1369, 4507, 543, 2853, 602, 4225, 513, 5354, 5256, 7890, 2551, 269, 10598, 22162, 2021, 779, 2833, 267, 543, 2854, 607, 952, 2048, 14054, 1705, 711, 2339, 685, 630, 289, 657, 10290, 267, 476, 1220, 271, 267, 533, 269, 29214, 1070, 2757, 10336, 12583, 723, 16053, 2048, 1492, 2168, 4527, 540, 2021, 538, 30813, 543, 519, 1249, 602, 30813, 2933, 616, 575, 25311, 5238, 267, 10452, 543, 17923, 4978, 827, 4638, 3017, 685, 630, 305, 12898, 267, 476, 1960, 271, 267, 533, 269, 3495, 328, 1040, 4329, 267, 519, 2833, 540, 4563, 543, 12102, 6803, 2021, 723, 1044, 12790, 543, 7361, 15534, 689, 7890, 12583, 563, 21292, 7468, 2581, 15510, 16971, 19716, 29277, 3590, 21058, 29277, 518, 22503, 29277, 518, 454, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 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 ]
[ 0, 9223, 281, 1215, 666, 596, 1118, 8142, 607, 1769, 607, 2009, 888, 271, 269, 1411, 666, 1118, 8142, 607, 1769, 607, 2009, 676, 2150, 342, 12371, 519, 16060, 609, 707, 11263, 563, 272, 269, 1411, 666, 1118, 8142, 607, 1769, 607, 2009, 676, 2150, 342, 12371, 519, 16060, 609, 707, 19462, 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 ]
[ 0, 257, 30051, 267, 634, 27202, 13488, 13474, 20350, 20540, 281, 476, 4350, 276, 630, 15132, 320, 994, 21760, 281, 7179, 539, 7822, 454, 1789, 269, 277, 1535, 476, 2420, 269, 274, 6279, 454, 6507, 269, 278, 1535, 476, 6321, 269, 277, 4699, 454, 1607, 10477, 3182, 3645, 4786, 540, 5125, 729, 9783, 16172, 1354, 519, 476, 4350, 277, 12670, 21396, 269, 898, 568, 4904, 609, 20419, 880, 26007, 540, 4436, 1004, 630, 718, 1025, 1180, 264, 543, 4872, 267, 543, 2882, 13303, 6698, 1472, 715, 675, 3088, 326, 267, 22540, 543, 12390, 1478, 269, 589, 7333, 1676, 1985, 547, 12670, 6920, 519, 4087, 540, 519, 16727, 3756, 269, 769, 519, 2539, 1318, 7944, 540, 519, 6656, 568, 513, 1507, 4786, 540, 2342, 609, 5125, 30326, 13269, 538, 2699, 609, 513, 2220, 770, 11986, 9206, 269, 634, 2357, 810, 3568, 513, 2951, 4786, 543, 1257, 799, 970, 11169, 519, 1007, 4436, 1533, 269, 15618, 676, 519, 25415, 338, 321, 23167, 345, 550, 337, 1446, 9663, 3954, 1546, 583, 2675, 1156, 1234, 1047, 591, 651, 15590, 609, 2296, 1257, 269, 8682, 1922, 13783, 609, 3182, 3645, 12109, 13827, 563, 6097, 547, 519, 623, 297, 25042, 10934, 14635, 267, 713, 2156, 577, 675, 729, 9102, 538, 693, 2547, 1614, 4654, 630, 23389, 267, 2296, 543, 7969, 264, 609, 8795, 1257, 547, 4766, 519, 1007, 5125, 269, 6423, 1934, 585, 606, 4277, 4901, 593, 519, 4786, 543, 519, 1114, 2296, 8747, 563, 27066, 281, 623, 297, 25042, 14635, 1948, 10219, 271, 563, 296, 1087, 4240, 24208, 609, 513, 1906, 2110, 10943, 1080, 693, 519, 16784, 15118, 2388, 543, 1507, 2530, 2059, 519, 2539, 1318, 16784, 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 ]
[ 0, 290, 1328, 692, 258, 9046, 476, 1015, 269, 14419, 2436, 513, 6152, 568, 27865, 517, 1227, 2810, 692, 11405, 476, 278, 2420, 27628, 692, 8138, 4784, 593, 476, 1839, 4119, 476, 1001, 276, 676, 1535, 617, 1777, 574, 323, 586, 336, 326, 990, 335, 928, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 2162, 4530, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 10426, 454, 260, 260, 1535, 815, 1496, 271, 476, 272, 476, 273, 476, 274, 476, 275, 22049, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 25152, 4297, 16963, 339, 325, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 692, 273, 5231, 10426, 454, 260, 260, 1535, 815, 1496, 271, 22049, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 25152, 4297, 16963, 339, 325, 815, 476, 272, 692, 274, 5231, 10426, 454, 260, 260, 1535, 815, 1496, 271, 476, 271, 476, 271, 476, 271, 476, 271, 22049, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 32401, 4297, 16963, 339, 325, 815, 476, 271, 692, 275, 5231, 10426, 454, 260, 260, 1535, 815, 1496, 271, 476, 272, 476, 273, 476, 274, 910, 275, 22049, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 32401, 4297, 16963, 339, 325, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 271, 692, 276, 5231, 10426, 454, 260, 260, 1535, 815, 30585, 274, 910, 275, 476, 273, 476, 274, 476, 275, 22049, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 32401, 4297, 16963, 339, 325, 815, 476, 271, 692, 277, 5231, 10426, 454, 260, 260, 1535, 815, 476, 272, 15545, 272, 281, 1015, 282, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 25152, 4297, 16963, 339, 325, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 692, 278, 5231, 10426, 454, 260, 260, 1535, 815, 524, 4548, 636, 263, 8681, 263, 272, 267, 1911, 4297, 282, 1535, 263, 276, 264, 815, 910, 272, 282, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 32401, 4297, 16963, 339, 325, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 271, 692, 279, 5231, 10426, 454, 260, 260, 1535, 815, 524, 4548, 636, 263, 8681, 263, 272, 267, 2004, 4297, 282, 7682, 263, 1047, 23974, 263, 3000, 334, 18425, 920, 848, 3287, 1070, 25152, 4297, 16963, 339, 325, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272, 23686, 815, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 1164, 24933, 10887, 14018, 595, 2106, 628, 807, 855, 711, 715, 7614, 773, 1317, 9041, 729, 9849, 13680, 533, 1690, 24252, 563, 271, 269, 595, 2106, 628, 807, 454, 272, 269, 715, 7614, 773, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 519, 9661, 540, 28469, 1998, 267, 519, 2097, 569, 27585, 2982, 602, 13277, 6670, 949, 711, 2141, 581, 606, 3390, 538, 19744, 7931, 1734, 269, 769, 519, 4098, 540, 713, 6648, 267, 28469, 1998, 3884, 1405, 5701, 609, 519, 25932, 2463, 899, 519, 824, 29843, 269, 3751, 14880, 3085, 1405, 3100, 547, 581, 8156, 28469, 1998, 9425, 267, 1256, 1498, 646, 568, 1175, 607, 10121, 607, 3025, 3116, 267, 865, 519, 27585, 5036, 856, 593, 865, 30394, 940, 7045, 547, 519, 24781, 269, 3371, 646, 2501, 2066, 1079, 12103, 1749, 581, 21794, 547, 1491, 519, 632, 2548, 1515, 812, 883, 2743, 741, 2481, 1088, 267, 945, 568, 540, 971, 796, 24160, 569, 5898, 269, 634, 530, 4141, 995, 28469, 1998, 9060, 5128, 607, 606, 856, 4751, 538, 519, 1158, 540, 29843, 267, 543, 568, 16462, 547, 581, 1256, 269, 1879, 646, 30650, 540, 519, 5898, 540, 713, 12357, 30823, 523, 267, 646, 554, 3591, 1055, 1010, 7504, 543, 568, 3144, 547, 519, 623, 822, 559, 542, 1141, 519, 2021, 6013, 269, 634, 1249, 602, 28469, 1998, 3762, 1010, 7504, 267, 799, 568, 2141, 2404, 609, 29843, 2982, 602, 646, 568, 8348, 547, 1981, 519, 1272, 602, 2306, 1864, 606, 856, 4751, 269, 1261, 22939, 519, 1554, 609, 1010, 993, 773, 267, 1141, 789, 2306, 2648, 543, 2887, 14834, 569, 585, 835, 1776, 269, 28469, 1998, 20475, 602, 713, 2021, 568, 1010, 835, 3020, 2648, 269, 2311, 519, 1439, 540, 741, 8748, 12784, 1927, 267, 1010, 2648, 6645, 28469, 1998, 602, 741, 2648, 1590, 3251, 15739, 564, 282, 28469, 1998, 4927, 2760, 3717, 543, 2285, 2476, 1200, 3961, 269, 28469, 1998, 23216, 547, 1832, 741, 2648, 513, 5728, 799, 2982, 1010, 25621, 585, 519, 8004, 269, 10801, 519, 1650, 267, 596, 786, 1294, 602, 28469, 1998, 568, 519, 1152, 812, 540, 519, 29843, 945, 3884, 1405, 2141, 6306, 540, 606, 1303, 5971, 269, 1261, 3884, 1405, 12922, 547, 14679, 1055, 593, 1010, 1378, 267, 2476, 689, 2754, 269, 7183, 540, 519, 824, 2367, 267, 1519, 14880, 267, 723, 519, 2702, 547, 957, 593, 741, 1378, 269, 1261, 814, 8810, 1010, 11428, 543, 25621, 547, 1832, 519, 2648, 609, 519, 2481, 1088, 2469, 269, 1879, 28469, 1998, 10301, 519, 14500, 1586, 267, 10348, 2871, 710, 3164, 1821, 2478, 513, 632, 7757, 1544, 547, 2097, 593, 547, 519, 27585, 269, 1261, 7947, 338, 519, 4164, 712, 14799, 543, 2306, 1200, 3222, 540, 519, 2648, 646, 814, 1336, 269, 1879, 2871, 710, 3164, 711, 1182, 602, 646, 568, 711, 5461, 538, 1200, 4652, 28216, 995, 2081, 267, 1352, 3533, 642, 559, 5809, 28469, 1998, 676, 561, 4770, 856, 669, 584, 1501, 569, 269, 901, 568, 1200, 8878, 7271, 737, 10107, 538, 602, 1352, 3884, 1405, 1018, 646, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2518, 2146, 540, 2470, 12439, 454, 31688, 1748, 532, 543, 1565, 827, 7320, 454, 4263, 1101, 713, 8604, 547, 581, 513, 14799, 12704, 630, 290, 665, 11142, 749, 13160, 264, 7782, 320, 1287, 621, 3323, 3001, 269, 19869, 1580, 729, 5111, 476, 277, 7825, 1279, 543, 15454, 25984, 609, 3982, 3043, 3270, 269, 634, 1964, 540, 519, 3662, 729, 519, 1482, 7990, 607, 519, 1035, 29716, 2030, 621, 729, 2713, 593, 563, 4002, 3600, 29716, 544, 792, 985, 4512, 538, 513, 1804, 2470, 15395, 563, 291, 807, 20660, 568, 513, 17178, 12593, 540, 519, 1920, 774, 558, 529, 13160, 630, 322, 4599, 20151, 264, 26701, 328, 781, 26800, 4528, 5291, 2517, 325, 1301, 278, 14714, 1738, 8807, 5585, 337, 2593, 270, 277, 2190, 271, 270, 30697, 272, 1862, 1772, 713, 835, 1644, 547, 519, 5835, 8768, 4528, 2938, 2063, 3018, 593, 519, 1482, 2249, 540, 2030, 286, 5291, 2517, 4178, 269, 2889, 915, 7224, 1695, 3820, 4882, 335, 2714, 902, 270, 29710, 2483, 11039, 267, 4126, 649, 786, 1265, 519, 9517, 4166, 585, 713, 2189, 17178, 907, 2433, 994, 12552, 585, 602, 26778, 2705, 594, 1589, 621, 781, 513, 1114, 835, 269, 1488, 8643, 7578, 544, 14575, 10005, 568, 711, 1336, 538, 7013, 5245, 543, 519, 3750, 4806, 568, 1114, 269, 594, 1589, 713, 568, 513, 26029, 17178, 2027, 2358, 538, 519, 2199, 1035, 29716, 2249, 269, 3371, 781, 1776, 8929, 540, 621, 538, 31005, 807, 593, 3600, 29716, 630, 8117, 519, 4966, 666, 1405, 2012, 621, 2943, 2901, 264, 5291, 2517, 4178, 8807, 5585, 337, 2593, 270, 31688, 657, 270, 26631, 276, 4391, 8287, 287, 301, 271, 2483, 8967, 582, 1540, 593, 4239, 476, 272, 267, 476, 1001, 274, 454, 8138, 4784, 593, 4239, 476, 272, 267, 476, 1001, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4910, 13554, 2604, 547, 14883, 282, 5706, 539, 10115, 538, 1483, 10040, 563, 2414, 5706, 931, 5524, 563, 4910, 13554, 519, 4674, 547, 2673, 519, 1153, 563, 288, 1835, 1678, 602, 759, 1235, 18165, 282, 513, 1570, 602, 759, 1235, 3859, 12159, 563, 2414, 5706, 31112, 563, 2304, 1383, 540, 547, 5706, 568, 2576, 4881, 2476, 689, 519, 7128, 547, 2057, 1373, 18486, 563, 8448, 6478, 22553, 454, 27670, 540, 5706, 454, 268, 5664, 2296, 5706, 523, 689, 6196, 3943, 759, 3563, 689, 5824, 5706, 699, 556, 268, 556, 268, 521, 626, 699, 547, 1747, 588, 5953, 268, 538, 21475, 26049, 5072, 454, 5804, 1977, 11595, 9218, 540, 519, 2296, 5678, 267, 476, 276, 628, 9990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17004, 782, 2324, 26008, 2336, 4002, 513, 4786, 267, 476, 272, 1298, 22015, 516, 4564, 476, 278, 16006, 9492, 21240, 269, 1548, 3259, 593, 519, 4786, 1131, 2099, 513, 3845, 540, 476, 3393, 21240, 888, 320, 269, 476, 277, 9492, 454, 321, 269, 476, 280, 9492, 454, 322, 269, 476, 2568, 9492, 454, 323, 269, 476, 3445, 9492, 454, 324, 269, 476, 29876, 16006, 25991, 692, 272, 269, 555, 3578, 8500, 692, 320, 1317, 596, 7941, 476, 3393, 676, 476, 278, 476, 272, 270, 273, 1287, 596, 1205, 476, 277, 692, 288, 269, 476, 277, 4699, 454, 3721, 8386, 9912, 7778, 912, 1103, 1931, 547, 2099, 513, 3845, 540, 476, 3393, 21240, 888, 9617, 7941, 476, 3393, 21240, 676, 476, 278, 16006, 4699, 21240, 454, 284, 476, 277, 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 ]
[ 0, 13775, 693, 13628, 267, 476, 6349, 4989, 476, 1708, 271, 269, 10960, 269, 1635, 2107, 331, 2088, 15016, 1512, 563, 18439, 1272, 2257, 609, 713, 9269, 1272, 4783, 4976, 269, 595, 23926, 547, 519, 1101, 17263, 6437, 267, 713, 2257, 4976, 12857, 1053, 547, 519, 7350, 540, 713, 5432, 3662, 269, 3245, 519, 4212, 547, 519, 887, 739, 267, 1053, 786, 1246, 17944, 998, 519, 5933, 540, 741, 1272, 269, 1358, 786, 1451, 519, 4408, 540, 1142, 3942, 543, 2972, 7801, 538, 519, 5961, 547, 3142, 621, 782, 547, 1272, 563, 289, 755, 856, 1346, 22916, 976, 267, 621, 779, 942, 547, 1449, 707, 1702, 540, 2596, 5546, 256, 5620, 707, 1101, 1178, 1457, 4990, 856, 891, 5546, 676, 2681, 269, 6496, 646, 917, 519, 3017, 1063, 513, 25671, 1355, 543, 513, 15279, 6782, 286, 901, 2241, 5546, 2689, 786, 1628, 1010, 9511, 6863, 563, 7312, 9251, 518, 786, 1205, 930, 10203, 2259, 607, 1352, 4778, 269, 25478, 5810, 543, 741, 24968, 666, 948, 12927, 1018, 1352, 6487, 543, 5818, 1200, 6015, 609, 2338, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 634, 7377, 674, 1460, 3896, 602, 568, 711, 634, 7377, 674, 1460, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 634, 7377, 674, 1460, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 271, 634, 7377, 674, 1460, 269, 2353, 7126, 27616, 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 ]
[ 0, 3848, 476, 1015, 281, 1133, 680, 10165, 21250, 17473, 910, 1548, 1358, 3657, 543, 1215, 1358, 8177, 8479, 4658, 692, 7072, 692, 5970, 596, 2479, 4862, 707, 2828, 610, 15032, 6158, 827, 2576, 2348, 513, 834, 321, 17879, 856, 540, 12311, 6674, 22172, 2107, 6148, 596, 4312, 4862, 873, 6031, 602, 2576, 3893, 9176, 1354, 789, 941, 4712, 286, 1452, 616, 930, 2081, 1004, 1522, 2911, 827, 796, 680, 10165, 26691, 269, 1323, 796, 680, 10165, 6379, 4523, 950, 513, 1268, 3587, 9176, 630, 7474, 1797, 972, 781, 513, 4816, 3395, 3330, 741, 1560, 264, 855, 4769, 1405, 1611, 585, 621, 547, 4755, 693, 713, 942, 538, 741, 1272, 269, 898, 666, 581, 513, 9983, 267, 543, 3006, 621, 666, 1256, 1745, 17559, 1317, 1373, 9176, 6770, 6266, 540, 2242, 543, 9021, 269, 2913, 781, 4685, 4514, 883, 1018, 796, 680, 10165, 26691, 616, 543, 875, 789, 1860, 1762, 4079, 899, 596, 780, 8139, 1133, 680, 10165, 21250, 17473, 692, 2691, 1079, 1004, 6430, 789, 1616, 547, 723, 513, 4816, 1927, 267, 789, 2356, 1544, 1919, 856, 5402, 269, 901, 2882, 6236, 952, 1312, 4891, 616, 14156, 267, 9308, 267, 543, 20019, 5423, 547, 6318, 513, 1126, 269, 1717, 267, 3006, 267, 5103, 1210, 4027, 2409, 971, 607, 4332, 1852, 21447, 610, 7873, 1682, 267, 606, 23139, 6379, 1869, 4386, 1813, 547, 1585, 4128, 899, 30534, 547, 1491, 519, 10788, 610, 16789, 6165, 540, 15333, 1061, 1161, 269, 1879, 713, 4523, 30122, 267, 649, 1289, 621, 606, 796, 680, 10165, 6379, 780, 2467, 616, 1614, 2010, 540, 796, 680, 10165, 26691, 281, 5134, 574, 539, 267, 13311, 267, 543, 1875, 19581, 819, 531, 269, 27190, 574, 539, 26691, 3277, 547, 1346, 1141, 519, 1367, 4941, 547, 1831, 9176, 5555, 855, 7012, 1405, 4058, 585, 621, 2943, 269, 1133, 342, 5896, 26691, 4766, 3871, 1141, 2043, 798, 711, 6999, 547, 1205, 9176, 693, 782, 269, 6348, 19581, 819, 531, 26691, 2049, 950, 2576, 4991, 9176, 1996, 741, 786, 267, 1419, 4611, 689, 4638, 14213, 610, 22149, 780, 19808, 9711, 540, 1133, 680, 10165, 21250, 17473, 593, 8479, 20661, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7804, 269, 22526, 2142, 14982, 4591, 7322, 568, 513, 1655, 5498, 29818, 2278, 543, 4670, 20536, 945, 3096, 2318, 6530, 2035, 547, 948, 3214, 4308, 609, 11648, 267, 4160, 267, 4965, 267, 20420, 267, 1153, 9496, 902, 543, 1514, 2923, 2152, 563, 310, 6579, 300, 5058, 307, 2177, 267, 12135, 267, 5412, 476, 5881, 267, 476, 1708, 274, 1315, 2190, 268, 278, 18208, 3725, 3161, 270, 2443, 3220, 269, 22526, 2142, 14982, 4591, 7322, 729, 5063, 12286, 593, 519, 4395, 3382, 540, 17912, 300, 6033, 16908, 18225, 269, 634, 2376, 267, 11331, 2048, 763, 2037, 577, 5896, 8682, 281, 3220, 269, 22526, 2142, 14982, 4591, 7322, 779, 17496, 776, 13979, 547, 8606, 7825, 1136, 685, 9676, 519, 6891, 540, 3220, 269, 4591, 7322, 779, 835, 6361, 8584, 29292, 1935, 547, 2413, 6377, 267, 1582, 773, 4670, 1818, 267, 799, 10905, 4670, 14708, 609, 2318, 6530, 269, 634, 2376, 7150, 538, 851, 912, 24685, 519, 1158, 540, 4670, 14708, 267, 3220, 269, 22526, 2142, 14982, 4591, 7322, 568, 513, 3020, 13009, 4565, 1794, 518, 269, 589, 2318, 18673, 543, 4670, 20447, 267, 1352, 16900, 10905, 1200, 6791, 538, 6530, 609, 519, 1148, 540, 9423, 547, 1711, 9159, 8874, 602, 2263, 519, 17909, 540, 1480, 4664, 543, 2833, 269, 3220, 269, 4591, 7322, 779, 2189, 1935, 267, 1759, 593, 1200, 1523, 540, 519, 2048, 5319, 2559, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4462, 680, 10165, 26579, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 11762, 1315, 26579, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 12980, 17301, 8217, 2187, 825, 3017, 815, 703, 8217, 314, 272, 316, 910, 703, 8217, 314, 271, 2639, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17301, 8217, 9984, 272, 2187, 1038, 1285, 326, 815, 703, 8217, 5157, 266, 272, 316, 910, 703, 8217, 5157, 2639, 1038, 952, 1285, 326, 568, 711, 3017, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 331, 560, 815, 1496, 274, 267, 277, 267, 280, 267, 1321, 267, 1428, 6540, 343, 815, 12980, 10857, 560, 2020, 2745, 3287, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1492, 2016, 24042, 538, 844, 525, 476, 273, 454, 326, 1508, 4671, 340, 921, 815, 27883, 272, 267, 273, 32140, 273, 267, 274, 32140, 274, 267, 275, 22708, 8999, 15058, 4671, 340, 921, 815, 29129, 258, 3438, 919, 998, 519, 519, 1592, 609, 1142, 24042, 454, 1721, 24042, 538, 2016, 4671, 340, 921, 912, 825, 1948, 611, 1091, 519, 2040, 540, 24042, 1592, 547, 519, 1439, 540, 834, 8999, 15058, 4671, 340, 921, 257, 1592, 454, 825, 2040, 15058, 4671, 340, 921, 6910, 6025, 340, 921, 314, 271, 316, 1341, 24042, 314, 272, 20285, 258, 21646, 519, 8242, 834, 8999, 15058, 4671, 340, 921, 257, 1592, 454, 2745, 4433, 636, 15058, 4671, 340, 921, 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, 3698, 23200, 15058, 5332, 534, 318, 10339, 663, 263, 10339, 663, 539, 2187, 825, 4228, 815, 9450, 21858, 4590, 825, 1293, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 263, 10339, 663, 264, 910, 476, 273, 2187, 1038, 952, 4228, 5157, 316, 11203, 834, 8253, 257, 543, 4228, 5157, 1341, 476, 272, 316, 11203, 834, 320, 13426, 2018, 2132, 8771, 454, 1038, 952, 4228, 15631, 272, 316, 11203, 834, 27845, 301, 13426, 2018, 2132, 8771, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 6352, 263, 10339, 663, 15892, 1038, 952, 4228, 5157, 316, 2652, 834, 8253, 13426, 2018, 1293, 6834, 476, 272, 454, 825, 2132, 1293, 692, 2745, 630, 3438, 725, 15058, 5332, 534, 318, 10339, 663, 2891, 8253, 513, 10878, 301, 27363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30475, 2433, 4245, 454, 11372, 12855, 3163, 16497, 454, 20826, 476, 2767, 267, 476, 1001, 279, 2257, 454, 24066, 6672, 540, 8978, 1239, 1797, 602, 2257, 267, 593, 1082, 14026, 814, 9863, 547, 581, 513, 31169, 585, 8103, 10169, 982, 513, 26460, 269, 5903, 539, 2630, 616, 513, 476, 274, 2257, 2055, 547, 1448, 856, 875, 5986, 666, 1689, 883, 513, 3551, 3926, 547, 4001, 2241, 2257, 3652, 799, 5310, 519, 2257, 2978, 1522, 1118, 621, 1413, 899, 1175, 835, 824, 4603, 269, 898, 568, 10423, 602, 519, 2707, 540, 782, 6575, 267, 2257, 543, 5132, 568, 519, 9345, 540, 519, 1480, 4555, 269, 476, 2918, 281, 3163, 814, 10123, 4547, 2564, 16491, 906, 602, 948, 547, 2057, 27830, 1480, 1272, 563, 7437, 938, 4930, 267, 649, 8190, 606, 538, 3178, 3750, 593, 519, 16937, 1063, 2257, 543, 917, 24376, 3377, 2443, 865, 596, 2461, 811, 18164, 269, 3509, 1004, 1472, 519, 8608, 1491, 585, 3236, 5640, 538, 3506, 543, 9945, 723, 3144, 519, 1291, 7421, 519, 2078, 1063, 2257, 543, 2029, 269, 634, 1702, 835, 1140, 1622, 538, 513, 1362, 568, 13546, 977, 783, 609, 856, 1565, 827, 519, 2994, 543, 3157, 540, 1382, 563, 16987, 9323, 538, 2257, 693, 519, 4090, 616, 538, 513, 1505, 610, 835, 824, 7133, 519, 585, 3236, 519, 4603, 593, 28295, 513, 1480, 1373, 269, 1261, 729, 13473, 827, 16528, 27590, 10415, 543, 4583, 922, 9354, 2640, 267, 2705, 1010, 6161, 609, 519, 3668, 540, 3621, 2560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 3113, 1104, 3193, 7272, 1874, 640, 318, 28255, 7531, 3698, 1034, 23631, 28754, 24786, 31855, 267, 678, 267, 521, 2187, 825, 8173, 825, 1284, 616, 2016, 513, 9859, 3113, 717, 815, 630, 309, 267, 661, 264, 593, 799, 454, 825, 1142, 6316, 630, 340, 267, 642, 264, 602, 12851, 547, 661, 814, 606, 2404, 454, 825, 1871, 678, 26086, 267, 642, 1070, 799, 568, 513, 1483, 1297, 538, 519, 2039, 454, 825, 476, 271, 10922, 678, 26086, 267, 642, 264, 10922, 476, 272, 602, 4564, 519, 10727, 454, 825, 540, 513, 2792, 8756, 689, 14584, 579, 547, 14584, 642, 563, 825, 1284, 4612, 678, 26086, 267, 642, 264, 607, 519, 5506, 602, 519, 8756, 454, 672, 689, 579, 547, 642, 786, 711, 3111, 267, 543, 649, 8263, 602, 891, 454, 672, 17831, 616, 4830, 563, 672, 901, 568, 606, 5690, 547, 1265, 519, 1034, 6325, 454, 672, 2619, 689, 519, 2707, 547, 824, 14622, 780, 672, 521, 281, 519, 2707, 454, 672, 678, 281, 519, 1599, 602, 7024, 519, 5506, 602, 519, 454, 672, 8756, 689, 579, 547, 642, 786, 711, 3111, 563, 825, 8173, 825, 3355, 1125, 5334, 17532, 5334, 1830, 31855, 267, 521, 994, 825, 590, 815, 1305, 4590, 825, 1627, 815, 3193, 7272, 1874, 640, 318, 28255, 31855, 269, 3200, 1182, 267, 1412, 337, 5073, 825, 1247, 1627, 269, 515, 777, 15481, 3436, 476, 271, 912, 1038, 579, 815, 1627, 269, 515, 777, 318, 2169, 847, 26174, 4590, 1038, 590, 815, 590, 26509, 542, 20719, 340, 348, 994, 1038, 585, 642, 538, 717, 269, 29951, 314, 340, 14158, 2018, 952, 642, 25331, 2999, 579, 25331, 2608, 678, 26086, 267, 642, 2187, 3546, 642, 25331, 815, 579, 25331, 2608, 678, 26086, 267, 642, 994, 3546, 642, 4877, 815, 579, 454, 3546, 1627, 269, 515, 777, 18425, 920, 848, 318, 4486, 17635, 28827, 267, 579, 25331, 2608, 678, 26086, 267, 642, 264, 9239, 3698, 3355, 1125, 5334, 17532, 5334, 1830, 31855, 267, 521, 2187, 825, 585, 642, 538, 717, 269, 3200, 1182, 912, 1038, 642, 25331, 815, 476, 271, 454, 1038, 642, 4877, 815, 7183, 454, 825, 521, 25331, 815, 476, 272, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 294, 10676, 1546, 518, 2608, 6519, 13650, 798, 2049, 6923, 538, 519, 3552, 269, 1358, 616, 3833, 21792, 267, 10355, 2938, 543, 4130, 982, 824, 3043, 2766, 539, 13650, 269, 1358, 616, 513, 6870, 2249, 543, 519, 5354, 540, 513, 1507, 2551, 2661, 538, 5580, 12924, 1533, 267, 2922, 689, 21962, 563, 288, 1360, 8966, 4719, 2681, 8390, 538, 3043, 26904, 13650, 2443, 4686, 337, 1256, 982, 11549, 24452, 2443, 7472, 782, 15918, 871, 15556, 538, 602, 2249, 799, 616, 1634, 607, 968, 17745, 534, 2065, 892, 610, 968, 17745, 23307, 892, 13650, 269, 589, 834, 18872, 543, 3043, 257, 645, 3711, 328, 563, 763, 16515, 1111, 539, 1546, 518, 568, 513, 1507, 2249, 540, 13650, 6353, 676, 519, 7986, 8913, 1111, 540, 3109, 4552, 593, 922, 30432, 543, 535, 836, 6438, 666, 1149, 585, 519, 9038, 269, 898, 568, 513, 2673, 3448, 540, 519, 544, 2863, 329, 659, 267, 2713, 10169, 2417, 5087, 936, 513, 2647, 1858, 540, 3844, 3624, 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 ]
[ 0, 306, 5593, 6754, 630, 3725, 26407, 264, 1107, 589, 1895, 540, 3087, 2209, 24905, 1194, 513, 18533, 540, 519, 7969, 24413, 18332, 19090, 1282, 17600, 1996, 10168, 543, 7128, 5208, 538, 519, 2475, 1533, 540, 16506, 563, 763, 19730, 4137, 267, 936, 1614, 7397, 1164, 267, 729, 5679, 18088, 1055, 922, 25342, 3490, 676, 1896, 18797, 1004, 538, 12142, 6754, 2282, 3687, 928, 24550, 269, 968, 2005, 729, 519, 1318, 3364, 543, 519, 942, 729, 1318, 2223, 1486, 6856, 19375, 1280, 25556, 5143, 1234, 26407, 593, 13628, 563, 5475, 519, 10795, 2669, 540, 519, 3979, 1977, 6723, 4469, 20477, 676, 513, 3043, 7128, 11464, 267, 519, 4901, 827, 7292, 8635, 543, 7128, 30468, 814, 1166, 1563, 909, 1586, 538, 519, 7330, 269, 634, 25165, 540, 3345, 3013, 7947, 519, 9006, 3130, 540, 19090, 1317, 1010, 16939, 547, 3013, 1500, 17091, 543, 21393, 2009, 538, 519, 1101, 1747, 269, 2201, 13638, 267, 513, 19090, 15224, 689, 476, 4572, 278, 538, 29430, 267, 9098, 267, 729, 10969, 730, 543, 16207, 883, 513, 10720, 269, 634, 2212, 540, 513, 18533, 540, 519, 1167, 913, 17243, 729, 2759, 1055, 543, 10032, 2038, 13723, 6640, 538, 11785, 269, 769, 6115, 267, 2475, 5600, 540, 24929, 22557, 30513, 27211, 19994, 657, 328, 568, 10912, 585, 22221, 20375, 547, 581, 6569, 689, 519, 7167, 20738, 547, 8956, 20752, 2797, 3401, 543, 7980, 689, 519, 3540, 2112, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 294, 20071, 945, 2877, 948, 547, 13236, 21593, 513, 7669, 454, 288, 5722, 4458, 6040, 8004, 609, 513, 4686, 2564, 2783, 814, 4121, 547, 13236, 593, 1200, 1378, 267, 7175, 1200, 547, 1491, 547, 519, 10977, 7535, 585, 519, 1101, 942, 563, 26466, 5984, 5174, 984, 29560, 29336, 8862, 2431, 781, 4576, 267, 1572, 8863, 3198, 12283, 267, 3361, 7293, 17244, 1369, 519, 2295, 799, 991, 547, 581, 4907, 1227, 6439, 1881, 269, 898, 849, 2451, 1200, 28296, 17808, 267, 2495, 1352, 2877, 513, 30439, 30315, 547, 13236, 563, 26466, 5984, 849, 814, 513, 1297, 540, 824, 2175, 2404, 609, 519, 6794, 267, 7133, 1200, 5075, 543, 6217, 267, 543, 1352, 814, 513, 22441, 540, 519, 12636, 563, 9515, 4941, 547, 1376, 10977, 799, 5921, 1200, 30439, 320, 8546, 1131, 991, 547, 581, 6569, 543, 1352, 1131, 723, 547, 1451, 875, 547, 13236, 593, 1200, 1378, 998, 1200, 5023, 543, 9224, 563, 2710, 4701, 941, 711, 2386, 1352, 729, 4712, 855, 6154, 5984, 267, 689, 2349, 599, 18484, 267, 729, 5462, 267, 543, 267, 865, 267, 936, 519, 1576, 540, 1896, 2395, 693, 519, 4279, 3345, 5753, 781, 11233, 267, 519, 30439, 320, 729, 7930, 6569, 563, 3086, 1352, 666, 13236, 19448, 3660, 543, 267, 1034, 11932, 547, 6154, 5984, 267, 2972, 513, 7669, 563, 6860, 8734, 476, 1001, 278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5903, 320, 912, 476, 1219, 6449, 8181, 9191, 1345, 264, 10778, 825, 1582, 269, 4289, 320, 815, 11713, 825, 1582, 6745, 16120, 14833, 815, 476, 271, 454, 22322, 476, 5727, 302, 263, 272, 264, 12163, 476, 1219, 1202, 2075, 7776, 5591, 293, 574, 4311, 267, 324, 2211, 334, 2187, 825, 1582, 269, 4289, 320, 6910, 16216, 2211, 334, 994, 825, 1582, 6745, 16120, 14833, 6834, 476, 272, 692, 476, 5727, 302, 3799, 264, 12163, 476, 1219, 1202, 2075, 7776, 303, 528, 19340, 4311, 267, 324, 2211, 334, 267, 8161, 2187, 825, 30458, 288, 5060, 815, 1582, 269, 4289, 320, 11468, 8161, 316, 1948, 4820, 324, 1884, 525, 798, 3693, 334, 454, 825, 30458, 288, 5060, 6910, 16216, 2211, 334, 264, 1948, 5417, 522, 3693, 334, 454, 825, 1948, 4820, 324, 1244, 12251, 798, 3693, 334, 454, 825, 585, 1535, 538, 1582, 269, 4289, 320, 27709, 281, 14158, 8587, 30458, 288, 5060, 6910, 3287, 994, 825, 1582, 269, 4289, 320, 815, 30458, 288, 5060, 454, 825, 1582, 6745, 16120, 14833, 6834, 476, 272, 454, 22322, 476, 5727, 302, 3799, 264, 12163, 476, 1219, 1121, 665, 7776, 5591, 293, 574, 4311, 2187, 825, 1948, 302, 3799, 264, 910, 272, 3097, 825, 1582, 269, 4289, 320, 815, 1582, 269, 4289, 320, 11468, 268, 272, 2639, 825, 1582, 6745, 16120, 14833, 20699, 476, 272, 454, 22322, 476, 5727, 302, 3799, 264, 12163, 476, 1219, 1121, 665, 7776, 303, 528, 19340, 4311, 267, 8161, 264, 10778, 825, 952, 4994, 2652, 476, 271, 10778, 8587, 1582, 269, 4289, 320, 815, 476, 1496, 454, 1038, 1582, 269, 4289, 320, 20572, 316, 585, 1535, 538, 2039, 4311, 6745, 16120, 14833, 264, 952, 1535, 11203, 476, 271, 454, 1038, 9948, 11434, 454, 825, 8640, 4994, 2652, 1582, 6745, 16120, 14833, 910, 272, 10778, 1038, 1582, 269, 8145, 665, 7776, 5591, 293, 574, 4590, 825, 3116, 10778, 8587, 1582, 269, 4289, 320, 815, 1496, 454, 1038, 1582, 269, 4289, 320, 20572, 316, 585, 1535, 538, 2039, 4311, 6745, 16120, 14833, 264, 952, 1535, 256, 284, 4994, 454, 8587, 23378, 825, 1582, 6745, 16120, 14833, 20699, 476, 272, 3097, 22322, 476, 5727, 302, 263, 272, 264, 12163, 476, 1219, 1668, 8364, 5825, 18372, 19340, 4311, 267, 8161, 2187, 11434, 2132, 1582, 269, 4289, 320, 27709, 2639, 22322, 476, 5727, 302, 3799, 264, 1427, 1941, 320, 522, 4994, 18851, 3097, 476, 1219, 1668, 8364, 5825, 18372, 292, 2211, 334, 4311, 267, 324, 2211, 334, 2187, 825, 585, 1535, 538, 2039, 4311, 6745, 16120, 14833, 2187, 8587, 952, 1582, 269, 4289, 320, 20572, 316, 2652, 3693, 334, 912, 1038, 2132, 1535, 7531, 18851, 11687, 324, 1770, 5451, 26369, 12163, 321, 815, 5903, 320, 10797, 321, 269, 1231, 2075, 7776, 5591, 293, 574, 263, 276, 994, 2745, 6357, 269, 4289, 320, 2020, 321, 269, 1231, 2075, 7776, 303, 528, 19340, 263, 274, 267, 271, 994, 2745, 6357, 269, 4289, 320, 2020, 2745, 6357, 12500, 639, 8364, 5825, 18372, 19340, 263, 271, 4917, 2745, 6357, 12500, 639, 8364, 5825, 18372, 292, 2211, 334, 263, 276, 11723, 321, 269, 8145, 665, 7776, 5591, 293, 574, 4590, 2745, 6357, 269, 4289, 320, 2020, 321, 269, 8145, 665, 7776, 303, 528, 19340, 263, 271, 994, 2745, 6357, 269, 4289, 320, 2020, 19638, 19638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 8760, 540, 930, 7103, 814, 4957, 269, 6904, 1007, 1184, 568, 1031, 547, 556, 5035, 1518, 7103, 888, 271, 269, 5029, 3359, 616, 1631, 2016, 5824, 2861, 3621, 4408, 563, 272, 269, 23113, 616, 1631, 8947, 693, 519, 7636, 1377, 563, 273, 269, 5029, 3359, 616, 1631, 5258, 883, 1614, 25267, 563, 274, 269, 23113, 616, 1631, 1031, 547, 19665, 7103, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 529, 513, 18228, 1239, 2497, 609, 4835, 11007, 9738, 998, 13618, 6603, 676, 782, 519, 3755, 593, 519, 1699, 1533, 540, 519, 3060, 269, 898, 568, 606, 7175, 2029, 602, 17251, 519, 20850, 2637, 5644, 9046, 630, 9188, 8282, 607, 513, 1966, 540, 9591, 3972, 1063, 1614, 1252, 1023, 971, 602, 513, 20291, 10880, 666, 1491, 1524, 606, 10546, 282, 811, 538, 3848, 476, 272, 454, 264, 543, 8118, 513, 1007, 16880, 540, 7399, 585, 3498, 1646, 609, 3972, 1652, 8852, 543, 5385, 540, 1344, 269, 1403, 519, 4950, 24339, 520, 1242, 519, 9263, 3562, 24406, 518, 5385, 540, 1344, 267, 1287, 519, 9893, 814, 24339, 520, 1242, 519, 9263, 3562, 24406, 518, 5385, 540, 1871, 269, 1284, 786, 2253, 713, 3184, 676, 3695, 875, 8852, 960, 1063, 3755, 593, 519, 11670, 3060, 269, 901, 786, 27167, 513, 2930, 4901, 540, 519, 3889, 540, 513, 3625, 543, 513, 11834, 269, 3973, 267, 649, 786, 4685, 883, 519, 1909, 540, 530, 24548, 543, 3593, 9607, 269, 2991, 6158, 827, 530, 24548, 267, 649, 786, 6521, 938, 1445, 547, 11822, 32237, 7638, 2305, 630, 9915, 309, 1070, 799, 568, 8045, 538, 519, 11670, 3060, 269, 9501, 309, 786, 1450, 721, 547, 1174, 1946, 7161, 723, 513, 15116, 2497, 543, 267, 811, 1271, 267, 875, 519, 11670, 3060, 666, 11677, 4398, 5103, 519, 3060, 779, 18440, 693, 513, 1164, 2557, 269, 7053, 267, 649, 786, 1439, 938, 4901, 676, 6158, 827, 2182, 543, 2571, 585, 802, 538, 519, 23204, 269, 1284, 786, 1459, 519, 6286, 540, 585, 802, 538, 519, 2796, 540, 4464, 17356, 585, 22278, 543, 3755, 3238, 538, 4881, 519, 11670, 4295, 3009, 269, 4634, 1498, 972, 616, 3875, 7648, 540, 9893, 1282, 713, 834, 290, 3711, 6929, 16411, 257, 5123, 540, 10509, 1646, 267, 519, 4295, 3741, 2611, 519, 1482, 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 ]
[ 0, 2791, 4440, 723, 4862, 519, 2165, 968, 327, 2426, 21139, 892, 538, 7641, 3292, 543, 9413, 267, 855, 1018, 4010, 1281, 621, 1611, 286, 26023, 267, 513, 21139, 568, 5219, 547, 607, 968, 327, 2426, 892, 950, 621, 568, 8572, 547, 3914, 606, 6876, 593, 513, 2357, 18743, 269, 1879, 513, 8288, 21139, 4386, 267, 519, 9794, 32141, 513, 5134, 7434, 267, 543, 519, 2013, 949, 581, 6836, 1586, 563, 23744, 6340, 267, 513, 2357, 18743, 568, 513, 796, 29434, 748, 3375, 8815, 2390, 676, 782, 476, 1321, 29632, 832, 269, 1717, 267, 1978, 2665, 798, 711, 2141, 2154, 513, 796, 29434, 748, 2357, 18743, 269, 1280, 3236, 267, 930, 2829, 1152, 2154, 513, 5354, 3375, 538, 3540, 2665, 269, 589, 1360, 1507, 6871, 540, 2829, 1450, 585, 513, 5354, 3375, 538, 7803, 2665, 269, 2353, 5313, 5480, 8062, 1765, 18485, 7803, 543, 3540, 1765, 7528, 790, 513, 796, 29434, 748, 2357, 18743, 563, 2691, 513, 21139, 568, 8572, 547, 3914, 513, 796, 29434, 748, 3375, 29932, 513, 6190, 5354, 3375, 267, 952, 10858, 1765, 6533, 519, 9794, 786, 17551, 513, 5134, 7434, 269, 15380, 267, 513, 9794, 786, 798, 3388, 538, 1010, 610, 1200, 1379, 547, 2057, 513, 5134, 7434, 282, 2705, 267, 952, 513, 21139, 568, 4625, 4666, 6674, 539, 543, 8572, 547, 3914, 513, 2357, 18743, 267, 513, 5134, 7434, 568, 796, 28300, 762, 563, 5629, 513, 5134, 7434, 814, 1044, 10294, 267, 835, 540, 1614, 1919, 3335, 4523, 269, 2290, 4781, 568, 585, 519, 2013, 547, 581, 6836, 1586, 267, 609, 606, 7357, 1007, 21139, 269, 634, 31989, 849, 814, 519, 4781, 540, 14962, 532, 519, 10997, 610, 5356, 513, 5418, 320, 20476, 664, 547, 519, 24769, 269, 769, 513, 3540, 2013, 267, 519, 6105, 949, 1904, 547, 7017, 267, 2864, 982, 2469, 998, 519, 4693, 1184, 1586, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 18361, 568, 2966, 547, 4217, 3084, 1480, 2924, 5238, 547, 11753, 7486, 883, 741, 23626, 547, 2149, 543, 3895, 1480, 2924, 269, 898, 2488, 513, 2596, 7650, 540, 519, 1909, 540, 1480, 2924, 538, 606, 2500, 3210, 547, 519, 15435, 543, 5267, 6405, 2238, 602, 3084, 5238, 666, 4163, 856, 1369, 741, 4540, 960, 269, 898, 849, 6799, 7399, 585, 2502, 609, 519, 3084, 7486, 3210, 538, 1931, 547, 2149, 543, 3895, 1480, 2924, 269, 634, 18361, 568, 5097, 5497, 585, 946, 676, 5234, 540, 3084, 1480, 2924, 5238, 267, 3540, 2486, 3906, 267, 5121, 540, 1004, 2713, 609, 7486, 543, 3084, 15978, 15961, 269, 898, 1058, 581, 1224, 1927, 609, 519, 4139, 13832, 593, 7486, 25266, 543, 5274, 7126, 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 ]
[ 0, 338, 25507, 9272, 15405, 31184, 284, 338, 454, 337, 284, 271, 454, 604, 521, 27045, 1911, 271, 912, 825, 1247, 10917, 256, 284, 271, 912, 1038, 678, 14352, 337, 265, 1015, 11924, 263, 31184, 260, 1015, 994, 1038, 10917, 284, 31184, 2260, 1015, 454, 604, 521, 2525, 337, 912, 2018, 1820, 2891, 13433, 5602, 12828, 912, 2018, 1820, 2891, 2254, 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 ]
[ 0, 3412, 22861, 1436, 2566, 5829, 6114, 281, 20480, 585, 12674, 11688, 527, 3599, 543, 12674, 3157, 1282, 519, 5046, 268, 866, 6855, 307, 8980, 306, 281, 5774, 12515, 267, 524, 10604, 268, 866, 267, 10074, 5788, 454, 288, 3578, 1819, 1635, 281, 24697, 13177, 543, 23583, 808, 14371, 269, 1306, 24792, 5459, 454, 293, 792, 543, 18515, 547, 4309, 25750, 814, 1831, 606, 3486, 6161, 543, 568, 6444, 607, 835, 540, 519, 1283, 4557, 4102, 6937, 547, 2518, 1072, 1282, 519, 5046, 866, 6855, 269, 31928, 527, 3599, 547, 4309, 25750, 568, 711, 9678, 547, 519, 6855, 607, 2250, 1382, 6920, 602, 1152, 10199, 476, 1789, 260, 540, 1977, 4079, 22991, 3398, 2483, 307, 8980, 306, 281, 5774, 12515, 267, 524, 10604, 268, 866, 267, 10074, 5788, 454, 288, 3578, 1819, 1635, 281, 1325, 2581, 631, 269, 32365, 543, 24697, 13177, 454, 8256, 335, 16820, 4978, 827, 519, 8247, 3297, 12674, 13319, 543, 12674, 11688, 527, 3599, 3136, 547, 1459, 607, 513, 11064, 1996, 8236, 23636, 12046, 1282, 519, 5046, 6855, 269, 901, 1382, 8947, 519, 3347, 1063, 24242, 6436, 543, 1875, 1922, 514, 2574, 12587, 547, 4309, 12674, 538, 519, 2136, 8003, 269, 19893, 6192, 513, 5619, 1354, 3384, 513, 6669, 267, 1310, 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 ]
[ 0, 300, 1410, 4815, 267, 3081, 12829, 267, 834, 257, 13195, 543, 1869, 568, 513, 2197, 538, 799, 2123, 1894, 616, 811, 1271, 982, 2797, 14336, 4800, 257, 2668, 769, 713, 2796, 267, 12829, 6941, 1946, 5484, 17010, 4236, 732, 345, 267, 834, 257, 320, 4535, 2797, 10324, 2437, 257, 26350, 513, 1732, 10639, 982, 602, 607, 8282, 547, 1864, 585, 519, 2250, 4627, 1296, 269, 4236, 732, 345, 267, 5518, 540, 6792, 689, 519, 942, 540, 519, 2782, 540, 519, 21637, 2394, 1010, 2669, 538, 476, 6942, 273, 267, 5280, 585, 613, 519, 9139, 540, 476, 6977, 278, 267, 834, 257, 320, 3044, 543, 513, 3090, 3269, 540, 519, 2924, 12666, 5165, 15092, 24714, 547, 1294, 4890, 1242, 538, 741, 2486, 269, 12829, 11099, 602, 1256, 950, 4236, 732, 345, 19500, 3063, 268, 6247, 3191, 958, 267, 581, 26845, 1540, 621, 267, 543, 2621, 9863, 1864, 811, 982, 20582, 538, 2348, 2944, 865, 269, 3943, 1875, 1105, 673, 6272, 543, 741, 1198, 593, 519, 1977, 6406, 2782, 267, 543, 519, 16642, 2042, 3238, 538, 1022, 3801, 547, 16245, 13338, 2229, 538, 606, 896, 16467, 539, 2197, 616, 899, 513, 1950, 24463, 883, 799, 3514, 1350, 31663, 525, 540, 4236, 732, 345, 519, 4357, 543, 519, 1857, 4137, 269, 700, 518, 4777, 267, 13244, 17555, 267, 7665, 574, 27482, 267, 543, 623, 21807, 597, 1470, 667, 27927, 267, 29828, 731, 543, 12493, 616, 5918, 569, 2016, 741, 4025, 538, 519, 1650, 269, 634, 2278, 814, 12261, 21555, 689, 4236, 732, 345, 262, 19701, 543, 5022, 267, 607, 1134, 607, 519, 2347, 1257, 4534, 2139, 585, 519, 1101, 942, 538, 2296, 734, 1993, 11872, 585, 3733, 5753, 267, 513, 16555, 593, 1010, 2038, 4876, 2854, 676, 4236, 732, 345, 2663, 538, 1272, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 568, 519, 2034, 540, 5722, 17948, 8476, 2780, 13691, 532, 3992, 2238, 2966, 585, 1053, 945, 1589, 3544, 519, 4216, 269, 3502, 3025, 666, 1451, 689, 2780, 12449, 538, 513, 2780, 2978, 256, 1452, 4245, 616, 1655, 4843, 676, 3610, 270, 974, 2286, 20843, 14121, 12781, 270, 18499, 270, 5035, 3336, 13538, 945, 5702, 6895, 630, 516, 514, 4403, 543, 28570, 264, 741, 1053, 14350, 610, 538, 1507, 2516, 563, 15124, 585, 2027, 2069, 267, 2780, 2978, 267, 4928, 3610, 543, 1753, 30595, 563, 8450, 849, 5291, 2517, 25247, 2280, 2593, 270, 4486, 24692, 318, 11301, 270, 2181, 12399 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11822, 7638, 2305, 540, 513, 6828, 692, 272, 269, 4455, 476, 2641, 267, 476, 1001, 277, 692, 2162, 5178, 1506, 24742, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 29991, 2436, 519, 1305, 540, 7787, 2338, 609, 14009, 3160, 547, 476, 272, 610, 476, 273, 568, 513, 1895, 896, 1840, 780, 273, 269, 31999, 4834, 692, 274, 269, 634, 3801, 693, 513, 3070, 692, 8923, 723, 513, 1413, 693, 519, 19479, 6169, 540, 851, 476, 276, 269, 594, 1810, 1405, 3833, 1174, 875, 1269, 336, 270, 273, 259, 10522, 602, 519, 14009, 540, 1269, 335, 270, 336, 259, 786, 581, 476, 272, 610, 476, 273, 267, 865, 594, 6836, 547, 32230, 540, 1250, 1378, 780, 292, 2416, 1269, 273, 320, 266, 323, 259, 568, 1256, 610, 568, 9642, 269, 1403, 1256, 267, 1287, 4399, 2765, 346, 273, 320, 266, 323, 2410, 273, 348, 815, 1422, 2765, 346, 273, 330, 2410, 273, 348, 815, 1422, 2765, 346, 330, 2410, 272, 4151, 799, 568, 4061, 538, 4389, 1106, 543, 12662, 621, 538, 1269, 294, 10608, 3767, 267, 952, 9642, 267, 1287, 519, 19362, 543, 14009, 540, 4399, 2765, 346, 273, 320, 266, 323, 2410, 273, 4151, 723, 1100, 1455, 2188, 543, 568, 4061, 2907, 538, 4389, 1106, 269, 5221, 519, 14009, 568, 1269, 273, 8961, 621, 568, 676, 4214, 538, 1269, 294, 16859, 3674, 972, 4376, 4636, 609, 713, 6169, 286, 4014, 594, 5795, 1250, 1378, 267, 594, 1131, 899, 547, 1174, 519, 5532, 3070, 780, 273, 269, 4455, 476, 2641, 267, 476, 1001, 277, 692, 2162, 543, 4319, 330, 25184, 692, 2005, 5654, 6140, 5386, 269, 1809, 676, 1210, 1269, 273, 320, 266, 323, 259, 596, 723, 711, 4988, 519, 2013, 1141, 1312, 6746, 2209, 616, 9642, 269, 1411, 991, 547, 3382, 602, 2013, 607, 1134, 547, 2347, 519, 6169, 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 ]
[ 0, 5814, 15259, 3097, 657, 269, 17882, 2891, 743, 338, 5602, 258, 28808, 516, 572, 796, 562, 14243, 1067, 334, 1303, 3266, 586, 18665, 652, 516, 647, 9184, 5055, 632, 3818, 2364, 541, 454, 4046, 340, 652, 320, 6889, 338, 4840, 6112, 1365, 340, 652, 320, 2525, 257, 338, 13426, 825, 1003, 25507, 9272, 2891, 28808, 516, 572, 796, 1003, 3266, 281, 27363, 825, 733, 284, 272, 454, 825, 1247, 733, 27045, 1015, 912, 1038, 3818, 284, 4186, 265, 11133, 454, 1038, 1820, 6600, 257, 346, 11133, 348, 11188, 2715, 4186, 348, 1965, 281, 2715, 20123, 328, 348, 5602, 1038, 733, 23785, 272, 3097, 825, 1365, 340, 652, 320, 284, 6358, 2891, 382, 379, 291, 3150, 320, 2019, 591, 513, 552, 329, 1815, 583, 541, 286, 521, 14672, 281, 20257, 12294, 4590, 2745, 6600, 257, 293, 2562, 667, 5085, 11550, 16165, 24717, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27028, 5193, 569, 972, 568, 1100, 8969, 593, 11132, 6284, 3301, 12987, 7834, 543, 10168, 4145, 538, 4872, 543, 2829, 267, 1141, 930, 1876, 16234, 723, 547, 28586, 547, 621, 779, 3970, 543, 6165, 543, 1256, 607, 1876, 11268, 8387, 543, 28867, 3581, 616, 8508, 621, 267, 2601, 1373, 267, 11120, 658, 6284, 568, 1114, 689, 824, 4066, 563, 3080, 666, 2697, 2576, 689, 7192, 541, 269, 1358, 949, 2760, 917, 269, 543, 596, 666, 798, 621, 593, 513, 7372, 4336, 543, 5168, 568, 1022, 2029, 814, 519, 1761, 547, 581, 3765, 4310, 269, 2368, 2665, 723, 1044, 4080, 267, 3602, 519, 28867, 867, 21568, 547, 10519, 3613, 8494, 1125, 543, 547, 23396, 856, 1883, 535, 10849, 585, 513, 11132, 6284, 1062, 563, 2467, 666, 581, 2789, 2055, 666, 581, 6659, 899, 281, 1548, 5949, 952, 646, 4769, 1406, 16783, 286, 14348, 646, 581, 859, 1112, 539, 286, 1656, 607, 513, 1762, 3109, 812, 267, 646, 14126, 602, 1010, 1979, 6248, 1239, 1131, 1439, 909, 538, 513, 7128, 1899, 1575, 1510, 1864, 2479, 1373, 18486, 269, 4107, 540, 519, 2679, 779, 4557, 1218, 616, 1004, 540, 1114, 2681, 269, 968, 2467, 779, 513, 2603, 540, 10077, 1465, 602, 2501, 609, 713, 267, 945, 2059, 609, 824, 4557, 1218, 568, 3843, 547, 16155, 3625, 1010, 2359, 2754, 689, 16459, 519, 2029, 563, 2108, 2791, 1745, 899, 513, 25647, 6477, 267, 968, 288, 1449, 1641, 585, 713, 2029, 3034, 8649, 573, 7834, 4145, 543, 2487, 1382, 6029, 7292, 13103, 538, 519, 6111, 540, 11132, 6284, 2029, 267, 930, 2749, 543, 1533, 8387, 616, 3981, 532, 547, 3970, 922, 946, 563, 763, 9998, 3029, 540, 11132, 6284, 2029, 12090, 538, 519, 476, 1960, 271, 338, 267, 543, 2199, 1876, 11268, 3459, 1210, 621, 538, 476, 1220, 280, 269, 6270, 3301, 3096, 1979, 6248, 338, 547, 1224, 519, 9511, 540, 8188, 1336, 538, 513, 8523, 610, 3381, 543, 5635, 519, 2592, 547, 513, 6538, 540, 824, 11132, 2592, 547, 1265, 513, 6474, 269, 898, 779, 1031, 547, 13182, 2123, 3961, 4586, 288, 2102, 2886, 7048, 811, 593, 12514, 543, 3354, 10986, 547, 4383, 3106, 2152, 538, 741, 2950, 269, 1358, 849, 7048, 593, 1344, 789, 1205, 689, 7264, 267, 945, 1419, 616, 519, 1034, 5483, 827, 1018, 779, 8345, 593, 741, 19683, 267, 538, 741, 5656, 543, 538, 741, 16973, 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 ]
[ 0, 3848, 476, 276, 281, 10289, 7731, 26492, 543, 681, 3770, 338, 998, 11470, 692, 296, 269, 4985, 692, 9199, 1288, 543, 12738, 1404, 513, 1713, 1909, 538, 5935, 1920, 1272, 269, 1358, 1683, 15364, 267, 7794, 7554, 1063, 1920, 2818, 267, 543, 1711, 3838, 8823, 602, 2063, 513, 10715, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 1158, 540, 5708, 543, 4983, 875, 4589, 946, 1920, 5389, 543, 12738, 547, 2263, 8471, 4798, 971, 607, 2648, 267, 2530, 267, 543, 3961, 269, 1635, 7421, 1585, 5339, 1568, 267, 649, 2832, 547, 15052, 938, 1620, 540, 891, 2686, 2853, 543, 741, 1764, 593, 3885, 2066, 5481, 780, 2862, 269, 20223, 7731, 26492, 543, 681, 3770, 338, 692, 6524, 11362, 883, 1808, 14070, 6386, 267, 621, 781, 1898, 547, 3715, 2324, 8847, 585, 1312, 2474, 269, 4340, 547, 19626, 17389, 828, 2006, 630, 2735, 277, 1070, 5389, 3277, 547, 834, 516, 9690, 2238, 602, 2769, 513, 1895, 781, 2418, 543, 4978, 2437, 6466, 12738, 4125, 834, 22131, 26382, 6411, 17078, 523, 609, 2495, 257, 602, 4196, 607, 12508, 585, 1271, 1272, 2621, 610, 13289, 269, 5637, 2609, 3565, 3648, 547, 22686, 22122, 543, 1367, 1646, 1369, 3885, 780, 7656, 269, 21261, 894, 13979, 281, 24167, 4762, 997, 1154, 7348, 9557, 593, 26492, 543, 681, 3770, 338, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 513, 1893, 4274, 2087, 707, 1603, 454, 305, 684, 513, 1863, 17096, 2638, 538, 476, 1015, 3764, 267, 5352, 4977, 14327, 585, 1863, 563, 268, 11310, 12476, 454, 268, 634, 2185, 1292, 2010, 540, 1557, 1923, 16797, 3391, 609, 1806, 454, 763, 9050, 6301, 9537, 540, 4828, 1923, 16797, 6651, 609, 6201, 454, 13775, 593, 5181, 476, 275, 267, 476, 1708, 271, 676, 10793, 595, 4954, 7615, 1547, 4860, 2213, 593, 5147, 476, 2537, 267, 476, 1708, 274, 563, 2304, 1557, 568, 513, 5059, 4062, 540, 1603, 2966, 547, 1217, 610, 22321, 269, 1703, 616, 1082, 1114, 2010, 540, 1557, 267, 855, 789, 616, 1419, 3989, 538, 2185, 6688, 281, 12819, 267, 16878, 267, 2239, 267, 543, 10855, 3594, 563, 26855, 2163, 894, 543, 16878, 3594, 616, 5059, 593, 23187, 1344, 543, 1818, 2312, 2798, 267, 1247, 2239, 543, 10855, 3594, 616, 827, 16706, 5876, 543, 1603, 538, 606, 4277, 1259, 269, 2311, 6280, 1377, 267, 12819, 3594, 616, 519, 1034, 1455, 1826, 563, 1103, 1164, 1153, 543, 2852, 267, 596, 786, 849, 1419, 723, 547, 2328, 21849, 2079, 3594, 267, 799, 1449, 707, 1983, 538, 2673, 2542, 543, 7664, 563, 8368, 540, 9115, 454, 26855, 18210, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23991, 26492, 543, 681, 3770, 338, 257, 607, 851, 540, 834, 11227, 1315, 7731, 5020, 1315, 4937, 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 ]
[ 0, 763, 3141, 9219, 666, 948, 519, 1053, 3313, 1018, 942, 621, 568, 676, 8380, 513, 15513, 538, 519, 1647, 540, 519, 9219, 799, 786, 581, 519, 5662, 1688, 585, 519, 9219, 2073, 543, 519, 1053, 666, 1451, 827, 519, 3764, 540, 519, 9219, 865, 602, 789, 666, 1451, 875, 547, 2995, 942, 563, 2171, 723, 513, 1507, 13452, 267, 865, 9001, 2230, 543, 1818, 519, 1034, 540, 1018, 649, 723, 568, 519, 3804, 269, 10266, 1540, 2638, 518, 4604, 543, 512, 545, 512, 659, 23179, 593, 17552, 5371, 3349, 269, 10266, 1540, 7725, 899, 14799, 12961, 543, 536, 18443, 32048, 585, 4773, 269, 3767, 476, 273, 811, 3756, 585, 3214, 547, 1404, 3544, 563, 13043, 11242, 267, 4569, 6096, 267, 7216, 4569, 267, 18888, 267, 4569, 18827, 267, 5681, 334, 267, 4569, 27800, 267, 15776, 4223, 2946, 686, 1564, 267, 12729, 3427, 267, 12729, 9752, 267, 6478, 19725, 267, 4569, 10632, 267, 8866, 4569, 267, 9024, 10118, 267, 10794, 2986, 267, 1546, 1260, 19397, 10606, 267, 8342, 5500, 4569, 267, 18014, 267, 20145, 267, 4569, 22544, 267, 476, 272, 560, 24110, 267, 4804, 267, 15206, 267, 16504, 12140, 267, 4804, 10606, 267, 901, 1772, 2725, 267, 9752, 8249, 267, 9977, 532, 267, 24484, 267, 16592, 16504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10387, 10899, 11106, 568, 513, 1883, 5578, 602, 8309, 547, 938, 1272, 543, 3318, 1967, 269, 3371, 616, 476, 276, 11121, 570, 3633, 12909, 602, 786, 948, 596, 547, 5818, 1896, 16508, 11106, 1983, 563, 272, 4700, 12253, 717, 1961, 2006, 281, 4208, 5749, 1406, 649, 782, 6153, 6341, 541, 30808, 888, 1103, 1010, 4633, 267, 18673, 12253, 717, 1961, 2006, 12116, 1946, 649, 5749, 1406, 811, 17519, 811, 540, 519, 942, 269, 1261, 2488, 930, 31369, 2984, 543, 2090, 585, 875, 649, 1522, 782, 960, 2509, 1373, 1434, 7663, 541, 30808, 543, 19595, 721, 602, 1169, 2241, 957, 540, 711, 6005, 12523, 563, 273, 4700, 24053, 12736, 577, 281, 1215, 547, 6657, 16508, 3689, 22707, 454, 1692, 568, 621, 649, 6108, 811, 942, 1142, 1554, 2921, 1416, 540, 938, 4522, 982, 938, 8186, 888, 1103, 1010, 570, 3633, 13185, 267, 5369, 6048, 24053, 12736, 577, 2798, 856, 519, 2956, 540, 4509, 938, 3929, 1072, 269, 1306, 646, 19528, 267, 4867, 267, 938, 2489, 10714, 540, 938, 3929, 9882, 568, 7096, 563, 3528, 1739, 513, 1906, 2241, 6208, 950, 649, 616, 24949, 267, 4657, 938, 3210, 547, 5821, 267, 7863, 938, 1582, 12635, 267, 543, 32626, 2942, 3206, 267, 649, 4465, 1406, 1175, 12115, 938, 5626, 16398, 267, 855, 649, 786, 849, 1628, 3929, 6043, 282, 649, 786, 8853, 2336, 274, 4700, 23765, 17755, 517, 580, 531, 281, 1215, 1677, 5269, 13262, 2659, 31541, 454, 1103, 1200, 9237, 2911, 267, 18673, 23765, 17755, 517, 580, 531, 8761, 602, 596, 1058, 1689, 707, 3206, 827, 2566, 269, 1306, 875, 649, 1589, 827, 2566, 2731, 6927, 2336, 9515, 6941, 602, 950, 649, 2070, 938, 2566, 3210, 607, 5363, 630, 13318, 1737, 540, 13156, 2566, 607, 519, 10546, 1070, 649, 666, 1689, 938, 1560, 779, 3210, 547, 2566, 563, 9515, 849, 11099, 602, 649, 1058, 3343, 1514, 3346, 543, 1489, 1282, 17173, 5712, 547, 5818, 938, 3404, 12682, 665, 514, 2157, 269, 1306, 3404, 12682, 665, 514, 568, 513, 2067, 4550, 13611, 267, 621, 2636, 1973, 8043, 547, 3251, 17159, 896, 2566, 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, 9223, 281, 6904, 1131, 581, 16934, 689, 513, 1592, 540, 3029, 540, 12093, 888, 271, 269, 4638, 12093, 454, 272, 269, 25251, 12093, 454, 273, 269, 513, 25757, 12093, 454, 274, 269, 12093, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 15043, 513, 11933, 3749, 17563, 1210, 10312, 268, 26670, 3496, 645, 4900, 518, 6987, 5014, 692, 1103, 2221, 781, 3059, 2085, 267, 10647, 1382, 814, 1831, 811, 3015, 982, 2479, 1354, 269, 2060, 9118, 2200, 2139, 2228, 267, 621, 666, 581, 11566, 547, 10891, 543, 1118, 2631, 540, 782, 519, 1344, 693, 938, 31840, 269, 2290, 1259, 547, 20928, 713, 1184, 568, 676, 9001, 1445, 10276, 327, 3496, 11422, 24909, 1247, 3384, 513, 7811, 5943, 585, 707, 1382, 1788, 269, 901, 1770, 786, 2263, 875, 891, 2645, 666, 948, 596, 3251, 6896, 267, 5059, 267, 543, 3608, 2429, 707, 1382, 3460, 780, 272, 269, 4197, 519, 11933, 3749, 17563, 692, 288, 7811, 5943, 5713, 607, 519, 5748, 585, 1022, 1382, 1788, 267, 3246, 513, 7828, 998, 799, 596, 5659, 543, 4612, 707, 4681, 630, 16655, 6202, 267, 476, 1001, 274, 1040, 898, 5161, 540, 1585, 3334, 971, 607, 6436, 267, 2035, 267, 2093, 267, 543, 19165, 602, 960, 1927, 547, 1711, 513, 23887, 4661, 543, 3565, 547, 4540, 1702, 538, 707, 2361, 269, 1635, 9591, 513, 4396, 7811, 5943, 2038, 593, 267, 596, 2327, 602, 707, 1382, 3788, 16135, 543, 4143, 1369, 922, 4081, 2796, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 1170, 31277, 543, 1382, 3785, 454, 268, 3883, 513, 8400, 454, 268, 22647, 1382, 3785, 454, 268, 12020, 707, 1382, 454, 29753, 513, 7811, 5943, 454, 8269, 22162, 593, 707, 2990, 267, 6905, 3332, 8039, 267, 9306, 12007, 1239, 563, 268, 26592, 1382, 454, 268, 5675, 909, 707, 1382, 1788, 454, 268, 552, 19543, 543, 2835, 454, 268, 10341, 13425, 901, 3095, 10741, 538, 513, 1007, 6885, 454, 268, 2340, 361, 483, 7982, 547, 10341, 10418, 901, 3095, 10741, 538, 513, 1007, 6885, 454, 268, 5623, 713, 4199, 454, 1432, 568, 513, 7811, 5943, 888, 29753, 513, 7811, 5943, 585, 707, 12031, 568, 835, 540, 519, 1883, 2609, 540, 513, 12007, 1382, 1788, 269, 3414, 1603, 707, 3332, 2689, 267, 596, 616, 2693, 547, 723, 4857, 2901, 513, 1966, 602, 991, 2048, 25785, 532, 685, 610, 513, 7934, 602, 707, 1382, 949, 2253, 547, 6445, 563, 763, 7811, 5943, 568, 707, 1907, 7901, 1547, 769, 519, 1907, 7901, 616, 707, 13561, 2645, 281, 513, 1305, 540, 6436, 267, 2035, 267, 2093, 543, 19165, 602, 596, 786, 946, 547, 1628, 513, 3070, 547, 519, 1382, 1966, 610, 7934, 596, 723, 4857, 563, 763, 12191, 568, 519, 6044, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 12333, 1315, 10312, 268, 26670, 3496, 645, 4900, 518, 6987, 5014, 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 ]
[ 0, 3848, 476, 280, 281, 21864, 21929, 324, 538, 631, 1120, 619, 543, 21733, 29792, 692, 5331, 596, 2811, 519, 23071, 540, 513, 6928, 267, 22892, 998, 606, 5836, 4904, 609, 3255, 543, 2591, 269, 1677, 3251, 6619, 538, 713, 5318, 4262, 267, 3006, 621, 2306, 2631, 547, 6443, 4229, 609, 1776, 6077, 269, 901, 2856, 3029, 519, 4493, 540, 12388, 619, 543, 4203, 29792, 630, 300, 261, 2026, 1070, 1141, 1079, 4213, 9192, 741, 2200, 547, 1831, 6793, 1927, 269, 1717, 267, 1354, 4259, 13743, 2509, 631, 261, 2026, 267, 1620, 7580, 24117, 786, 948, 2327, 5347, 7297, 6619, 2439, 3383, 1018, 4010, 1281, 1412, 1598, 1538, 545, 24117, 262, 1611, 286, 4270, 267, 1589, 827, 1946, 1004, 1106, 17052, 610, 24816, 1107, 789, 2671, 1455, 3853, 267, 9148, 1142, 824, 781, 9342, 267, 610, 6445, 10616, 602, 2291, 1063, 873, 269, 6684, 267, 950, 3549, 19467, 610, 835, 4203, 2231, 1776, 267, 972, 2115, 547, 581, 513, 8903, 2601, 3297, 621, 910, 713, 568, 1572, 519, 7580, 24117, 269, 898, 14592, 875, 9256, 891, 9988, 786, 1711, 1871, 3564, 1018, 2901, 1223, 3035, 4805, 269, 2913, 781, 2263, 930, 4128, 6117, 971, 3664, 1384, 272, 269, 2878, 294, 9512, 4995, 26157, 1079, 3549, 666, 1267, 538, 2799, 2344, 2671, 267, 6075, 3490, 267, 1587, 2039, 267, 610, 10923, 3914, 269, 1280, 1383, 267, 952, 513, 2199, 29221, 2044, 1634, 585, 8949, 3694, 16976, 547, 10536, 513, 12021, 7484, 322, 820, 6300, 267, 789, 666, 1631, 2709, 1312, 2472, 896, 835, 8122, 267, 19788, 811, 5561, 543, 3395, 5488, 982, 5665, 14384, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 21436, 17352, 454, 268, 4880, 476, 1789, 10055, 454, 268, 29216, 7896, 454, 268, 17778, 1299, 7033, 5202, 454, 268, 4518, 693, 513, 3794, 766, 454, 268, 10369, 3194, 693, 513, 3794, 766, 454, 268, 6355, 4643, 5675, 7896, 454, 268, 7813, 6355, 4643, 454, 268, 7767, 528, 6355, 4643, 454, 268, 17012, 577, 1047, 6355, 4643, 454, 268, 2052, 10109, 529, 6355, 4643, 454, 268, 21864, 6355, 4643, 454, 268, 23654, 6355, 4643, 454, 268, 8585, 613, 543, 21733, 9974, 6355, 4643, 630, 300, 26031, 994, 268, 17721, 9255, 618, 6490, 528, 663, 4548, 630, 13048, 300, 994, 268, 12726, 6355, 12697, 454, 268, 12333, 3171, 553, 2225, 5530, 454, 268, 17948, 10558, 725, 454, 268, 623, 3558, 1546, 1188, 19809, 7896, 454, 268, 6355, 4643, 24614, 454, 268, 10369, 3194, 454, 268, 700, 268, 272, 6355, 4643, 454, 268, 661, 268, 273, 6355, 4643, 454, 268, 661, 289, 268, 276, 6355, 4643, 454, 268, 661, 289, 268, 276, 13636, 15544, 454, 268, 26790, 27017, 7958, 454, 268, 6348, 16118, 6355, 4643, 454, 268, 1401, 527, 6355, 12020, 454, 268, 6355, 12020, 454, 268, 6355, 19725, 454, 268, 6355, 17821, 454, 268, 6355, 19534, 454, 268, 6355, 15952, 532, 454, 268, 6355, 7813, 10055, 454, 268, 7913, 16373, 454, 268, 6355, 8750, 532, 8249, 454, 268, 9540, 6355, 10753, 753, 454, 268, 20764, 675, 13317, 454, 268, 4880, 476, 1789, 15233, 454, 21761, 18542, 5999, 454, 268, 6355, 15894, 21998, 454, 268, 13185, 547, 2974, 476, 272, 268, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25618, 545, 21929, 324, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 631, 1120, 619, 1299, 21733, 29792, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 938, 3992, 827, 623, 878, 532, 15613, 256, 5620, 596, 2479, 9289, 1946, 930, 1919, 1942, 811, 982, 1866, 267, 1256, 950, 789, 3100, 7168, 2147, 286, 2107, 875, 8637, 6430, 1018, 3902, 547, 6133, 741, 3688, 693, 286, 2334, 781, 1141, 14499, 4640, 2501, 883, 1404, 256, 898, 781, 899, 513, 5728, 1544, 602, 4213, 946, 547, 1305, 1175, 519, 1318, 3902, 585, 741, 2472, 780, 5331, 596, 2811, 4881, 707, 1378, 21097, 1796, 269, 1411, 9327, 1405, 2285, 2476, 707, 8949, 4235, 585, 1863, 1317, 1287, 596, 7948, 1405, 4444, 811, 19790, 976, 610, 4006, 269, 1809, 596, 849, 1810, 1405, 1616, 547, 5279, 1932, 1454, 543, 29057, 5561, 2476, 269, 1924, 267, 596, 991, 547, 1589, 5402, 827, 875, 1454, 1142, 7484, 540, 21097, 1058, 1942, 780, 3086, 1577, 781, 2911, 827, 1945, 1572, 834, 17595, 1670, 14499, 2437, 799, 1797, 4259, 5777, 1759, 593, 1004, 781, 4555, 543, 4606, 269, 1280, 1383, 267, 798, 596, 1589, 1269, 276, 269, 4200, 4992, 14949, 982, 1269, 277, 269, 876, 286, 4634, 1498, 621, 781, 1152, 513, 29784, 3017, 267, 1082, 1004, 1131, 3858, 609, 596, 256, 16723, 14499, 13290, 547, 1491, 5413, 540, 2370, 15361, 899, 602, 547, 948, 4213, 7118, 811, 2724, 1247, 1818, 741, 5561, 1745, 6126, 609, 741, 6718, 780, 4913, 267, 7446, 519, 4636, 3902, 610, 11488, 6404, 6835, 827, 1018, 1919, 1942, 666, 1291, 547, 2042, 269, 5994, 952, 596, 4421, 707, 5863, 21097, 585, 476, 1015, 21347, 855, 4769, 1405, 1118, 2614, 7443, 547, 1205, 811, 7727, 269, 2107, 4605, 14845, 707, 2828, 676, 3006, 9513, 11680, 585, 476, 1839, 21347, 543, 824, 2053, 585, 476, 1789, 21347, 1107, 789, 1522, 1376, 11842, 952, 707, 21097, 568, 4502, 811, 593, 1978, 2395, 269, 24371, 3068, 2147, 2591, 950, 14045, 593, 513, 14499, 4640, 780, 9961, 713, 3184, 267, 649, 786, 2263, 1114, 2010, 540, 14499, 2994, 267, 1451, 875, 789, 960, 267, 543, 3605, 519, 5294, 543, 931, 540, 1142, 1505, 269, 1635, 1620, 875, 4213, 3442, 1587, 5777, 267, 596, 3513, 1831, 513, 21273, 6300, 704, 945, 6487, 950, 596, 2811, 3478, 513, 1434, 4308, 543, 1946, 1978, 3688, 1942, 1018, 789, 798, 269, 9578, 267, 6148, 1985, 942, 596, 3984, 513, 21097, 1796, 267, 596, 666, 946, 891, 16012, 1983, 547, 1118, 1732, 3664, 827, 875, 1454, 547, 5279, 256, 2913, 781, 4685, 538, 543, 1294, 1018, 649, 666, 1451, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20329, 1670, 623, 878, 532, 15613, 22436, 543, 32539, 9462, 500, 376, 20804, 454, 5278, 3494, 602, 3902, 568, 3274, 513, 2339, 540, 8226, 269, 11048, 267, 2436, 596, 616, 513, 23492, 610, 513, 1279, 28004, 2754, 267, 14499, 3788, 835, 540, 519, 1034, 1950, 4247, 269, 623, 878, 532, 9946, 1413, 585, 2081, 547, 1832, 741, 4213, 19311, 543, 1256, 8853, 538, 2053, 540, 2804, 7411, 269, 901, 568, 1141, 649, 4076, 2938, 4213, 20604, 519, 5383, 543, 11393, 540, 5626, 14499, 4640, 269, 1358, 1616, 547, 917, 952, 621, 568, 513, 14323, 4781, 585, 873, 563, 763, 1966, 568, 267, 1498, 267, 972, 616, 1869, 4213, 602, 3111, 547, 5265, 2708, 519, 2640, 543, 19363, 540, 5626, 14499, 269, 1306, 513, 1267, 267, 972, 568, 513, 2362, 4960, 540, 4259, 796, 2889, 325, 3386, 5777, 610, 1210, 22522, 3902, 20261, 602, 896, 11161, 2362, 14345, 2472, 543, 12478, 269, 1403, 711, 9619, 5612, 267, 891, 2152, 666, 22009, 543, 2800, 2949, 1870, 2773, 543, 6075, 3902, 8226, 563, 1103, 713, 3126, 540, 4930, 267, 649, 616, 2469, 547, 723, 606, 538, 3829, 771, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 878, 532, 15613, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19833, 1299, 590, 2454, 1315, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12866, 21408, 2137, 540, 513, 700, 2317, 692, 1103, 1931, 547, 1174, 519, 2947, 9076, 2137, 540, 513, 561, 2317, 267, 649, 1590, 1101, 1174, 519, 2495, 540, 9076, 1155, 269, 1109, 634, 9076, 1155, 540, 1022, 7077, 4137, 1797, 602, 972, 568, 513, 4009, 799, 666, 581, 9112, 602, 786, 723, 519, 1482, 1858, 607, 519, 7077, 4137, 269, 1109, 1677, 1732, 1174, 713, 1523, 13071, 1413, 693, 519, 9076, 1155, 540, 513, 6906, 780, 4131, 781, 2253, 609, 6906, 13235, 543, 4020, 922, 15820, 30183, 267, 543, 621, 781, 30268, 661, 780, 3086, 649, 4020, 13551, 30838, 17472, 609, 3259, 7460, 543, 8700, 16692, 780, 3086, 649, 4009, 519, 13551, 676, 14178, 30400, 547, 631, 294, 1141, 15726, 568, 3160, 538, 3259, 547, 12971, 543, 670, 568, 519, 30268, 540, 631, 294, 543, 2870, 513, 5858, 609, 8953, 631, 295, 780, 3086, 1711, 10126, 26128, 799, 568, 13902, 547, 10126, 30400, 543, 946, 713, 10126, 607, 835, 2427, 540, 519, 4009, 26128, 304, 305, 269, 1109, 634, 1858, 540, 519, 4009, 26128, 304, 305, 568, 3160, 547, 519, 1858, 540, 519, 13551, 30838, 17472, 780, 1607, 9076, 1155, 666, 581, 8810, 1210, 519, 533, 17233, 17671, 11532, 543, 519, 6906, 670, 23259, 602, 568, 4646, 676, 519, 25481, 780, 19185, 693, 6906, 670, 23259, 649, 723, 676, 519, 533, 17233, 17671, 11532, 602, 630, 27426, 264, 273, 284, 9230, 295, 301, 264, 273, 23444, 23259, 264, 273, 799, 3947, 721, 602, 630, 14149, 264, 273, 14352, 27426, 264, 273, 24179, 295, 301, 264, 273, 14352, 27426, 6953, 301, 7565, 27426, 266, 295, 301, 1040, 1109, 1924, 519, 1858, 540, 519, 4009, 26128, 304, 305, 568, 630, 27426, 6953, 301, 7565, 27426, 266, 295, 301, 1040, 1109, 3767, 267, 649, 666, 1294, 602, 24605, 568, 519, 8953, 540, 519, 5858, 607, 616, 631, 295, 543, 670, 294, 267, 865, 649, 723, 602, 631, 295, 284, 295, 294, 284, 27426, 269, 1109, 1924, 649, 666, 2161, 602, 30400, 284, 300, 295, 266, 295, 301, 284, 27426, 266, 295, 301, 543, 12971, 284, 7582, 284, 27426, 6953, 301, 676, 938, 25481, 269, 1109, 3767, 267, 649, 917, 602, 519, 1858, 540, 13551, 30838, 17472, 568, 630, 300, 301, 7565, 17472, 6661, 263, 27426, 266, 295, 301, 7565, 27426, 6953, 301, 264, 799, 568, 538, 1249, 519, 1858, 540, 938, 4009, 269, 1109, 4475, 519, 2127, 540, 938, 4009, 26128, 304, 305, 543, 938, 13551, 30838, 17472, 616, 538, 1249, 3160, 780, 3086, 649, 786, 1413, 693, 519, 2947, 9076, 2137, 540, 513, 561, 2317, 267, 519, 3148, 22112, 676, 1079, 9764, 9095, 338, 609, 1114, 2234, 4512, 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 ]
[ 0, 5228, 14854, 1104, 25725, 692, 306, 2793, 17395, 32707, 8780, 23814, 815, 476, 736, 454, 2562, 296, 2316, 3201, 318, 306, 2793, 17395, 815, 476, 274, 692, 303, 5308, 296, 3582, 815, 27883, 271, 267, 476, 271, 1070, 11196, 736, 267, 476, 271, 1070, 11196, 2412, 267, 476, 271, 264, 6540, 454, 5035, 31315, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 572, 18488, 815, 11713, 1038, 585, 1775, 538, 2039, 263, 2562, 296, 2316, 3201, 318, 306, 2793, 17395, 2187, 2018, 1582, 14491, 26000, 18488, 27456, 5308, 296, 3582, 5157, 20285, 1038, 1582, 23584, 815, 1582, 269, 572, 18488, 314, 271, 6540, 825, 1219, 1039, 26000, 18488, 4311, 267, 2990, 2187, 1038, 533, 815, 25725, 2891, 338, 13645, 5602, 1038, 533, 4877, 523, 1575, 4590, 1038, 533, 269, 10233, 2891, 1042, 5602, 1038, 533, 3052, 9369, 263, 6570, 994, 1038, 1582, 269, 572, 18488, 6910, 9638, 2020, 825, 1219, 2766, 6831, 3326, 1707, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 4311, 269, 572, 18488, 15892, 2018, 952, 1582, 269, 572, 18488, 314, 271, 4940, 323, 2700, 4311, 269, 572, 18488, 5157, 8079, 2999, 476, 1015, 912, 3546, 2132, 6936, 692, 1038, 2132, 8771, 692, 825, 1219, 8831, 4311, 2187, 1038, 2990, 815, 1582, 269, 572, 18488, 15631, 272, 4940, 1842, 4590, 1038, 1582, 14491, 26000, 18488, 263, 6570, 2020, 825, 1219, 1847, 4311, 2187, 1038, 585, 4994, 538, 2039, 12759, 4311, 269, 572, 18488, 264, 910, 476, 272, 267, 476, 271, 267, 910, 272, 2187, 2018, 1535, 815, 1582, 269, 572, 18488, 27709, 910, 476, 272, 4940, 343, 14585, 4590, 2018, 586, 815, 1582, 269, 572, 18488, 27709, 910, 476, 272, 4940, 344, 14585, 4590, 2018, 1582, 269, 572, 18488, 27709, 4940, 326, 9369, 3287, 267, 586, 994, 1038, 1582, 23584, 269, 3453, 22829, 2793, 17395, 32707, 8780, 23814, 2020, 825, 1219, 909, 4311, 2187, 1038, 3355, 815, 1582, 23584, 23584, 532, 4590, 1038, 952, 3355, 2652, 476, 271, 610, 3355, 2652, 476, 5197, 912, 2018, 1582, 23584, 15630, 3650, 532, 263, 3445, 2020, 825, 1219, 1524, 4311, 2187, 1038, 3355, 815, 1582, 23584, 23584, 532, 4590, 1038, 952, 3355, 2652, 476, 271, 610, 3355, 2652, 476, 5197, 912, 2018, 1582, 23584, 15630, 3650, 532, 263, 17734, 2020, 825, 1219, 1318, 4311, 2187, 1038, 3355, 815, 1582, 23584, 23584, 532, 4590, 1038, 952, 3355, 2652, 476, 3445, 610, 3355, 2652, 476, 17734, 912, 2018, 1582, 23584, 15630, 3650, 532, 263, 271, 2020, 825, 1219, 2451, 4311, 2187, 1038, 3355, 815, 1582, 23584, 23584, 532, 4590, 1038, 952, 3355, 2652, 476, 3445, 610, 3355, 2652, 476, 17734, 912, 2018, 1582, 23584, 15630, 3650, 532, 263, 5197, 2020, 825, 1219, 6861, 4311, 2187, 1038, 585, 13131, 538, 1582, 269, 572, 18488, 912, 2018, 13131, 269, 637, 564, 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 ]
[ 0, 258, 634, 2016, 3892, 2982, 519, 1297, 540, 8255, 20639, 676, 692, 9223, 1384, 763, 2016, 3892, 2982, 519, 1297, 540, 8255, 20639, 676, 930, 1283, 16835, 5443, 540, 519, 1158, 538, 835, 6377, 3486, 25319, 13292, 780, 11405, 1384, 763, 2016, 1239, 568, 3254, 2630, 780, 2080, 267, 519, 5021, 4908, 568, 476, 1240, 865, 519, 1110, 531, 1362, 568, 476, 6110, 271, 268, 4335, 271, 780, 11997, 10484, 259, 331, 284, 6110, 271, 6911, 259, 327, 284, 1911, 271, 6911, 259, 325, 284, 1240, 6911, 259, 325, 3709, 272, 13157, 275, 6911, 259, 325, 3709, 273, 13157, 280, 6911, 7445, 11004, 1150, 259, 25042, 1269, 284, 331, 10954, 2765, 346, 325, 1922, 3709, 272, 12453, 273, 535, 1922, 3709, 272, 18511, 325, 3709, 273, 3686, 1422, 9392, 554, 6911, 259, 284, 6110, 271, 10954, 2765, 346, 1240, 268, 275, 2410, 273, 1422, 9392, 476, 1240, 268, 275, 268, 280, 348, 1422, 9392, 476, 1911, 271, 6911, 259, 284, 6110, 271, 10954, 2765, 346, 1691, 2410, 2537, 348, 1422, 9392, 476, 1911, 271, 6911, 259, 284, 6110, 271, 266, 2568, 279, 269, 278, 6911, 259, 284, 29121, 279, 269, 278, 6911, 13295, 267, 519, 7154, 540, 519, 1239, 630, 528, 8255, 20639, 264, 568, 476, 29121, 279, 269, 278, 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 ]
[ 0, 347, 14240, 1475, 10573, 308, 331, 3122, 14891, 9549, 2008, 18871, 14394, 1475, 10573, 294, 21194, 9732, 15348, 2008, 1432, 1281, 772, 7894, 1611, 888, 308, 331, 3122, 14891, 9549, 630, 308, 7894, 264, 568, 513, 2797, 5428, 538, 8832, 8581, 563, 16085, 677, 1635, 10573, 28082, 640, 1475, 2704, 8224, 1227, 1475, 23742, 614, 676, 10573, 15575, 787, 270, 8802, 542, 10573, 32051, 281, 2008, 21761, 18542, 5999, 630, 11902, 304, 994, 1432, 568, 519, 2407, 1106, 540, 772, 7894, 538, 15348, 630, 296, 516, 1633, 25145, 763, 2407, 1106, 540, 772, 7894, 568, 21853, 3122, 14891, 9549 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2971, 14091, 495, 494, 32510, 494, 10563, 480, 361, 27338, 14602, 502, 21844, 365, 364, 423, 355, 361, 21844, 369, 361, 17432, 502, 422, 372, 364, 692, 2162, 14091, 495, 494, 10563, 510, 494, 10563, 480, 361, 27338, 14602, 502, 21844, 365, 364, 423, 355, 361, 21844, 369, 361, 17432, 502, 422, 372, 364, 692, 1012, 29030, 479, 368, 423, 508, 502, 424, 488, 353, 423, 350, 506, 10563, 510, 494, 21844, 369, 361, 425, 502, 482, 17432, 502, 422, 372, 364, 692, 5035, 8672, 273, 291, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 692, 335, 272, 815, 8672, 273, 291, 3287, 284, 1789, 267, 586, 284, 736, 994, 335, 273, 815, 8672, 273, 291, 3287, 284, 2004, 267, 586, 284, 1789, 2020, 2745, 3488, 335, 272, 281, 15079, 15079, 8339, 8971, 9638, 272, 11859, 267, 533, 272, 13885, 4917, 2745, 3488, 335, 273, 281, 15079, 15079, 8339, 8971, 9638, 273, 11859, 267, 533, 273, 13885, 264, 9239, 1012, 29030, 498, 376, 425, 481, 478, 422, 367, 510, 423, 507, 376, 424, 488, 353, 14602, 502, 10563, 510, 499, 423, 355, 361, 423, 350, 506, 14091, 495, 494, 10563, 510, 494, 21844, 365, 364, 423, 355, 361, 21844, 369, 361, 17432, 502, 422, 372, 364, 454, 320, 815, 533, 273, 11859, 910, 533, 272, 11859, 454, 321, 815, 533, 273, 13885, 910, 533, 272, 13885, 692, 5814, 2979, 692, 5035, 8672, 273, 291, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 692, 335, 272, 815, 8672, 273, 291, 3287, 284, 1789, 267, 586, 284, 736, 994, 335, 273, 815, 8672, 273, 291, 3287, 284, 2568, 267, 586, 284, 2004, 2020, 320, 815, 533, 273, 11859, 910, 533, 272, 11859, 454, 321, 815, 533, 273, 13885, 910, 533, 272, 13885, 692, 322, 815, 2979, 28460, 9230, 320, 2608, 513, 264, 1341, 630, 321, 2608, 536, 4917, 2745, 6262, 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 ]
[ 0, 258, 8745, 281, 5484, 918, 665, 345, 342, 4673, 454, 258, 11261, 281, 4239, 269, 2764, 267, 1001, 274, 454, 258, 20828, 281, 547, 1711, 513, 1982, 602, 786, 3313, 513, 1297, 538, 513, 2979, 5311, 692, 3698, 2979, 3799, 2187, 8587, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 273, 454, 8587, 3116, 912, 2018, 2132, 476, 274, 265, 4118, 3799, 268, 272, 9984, 272, 692, 2745, 834, 13043, 25627, 4840, 2745, 834, 1366, 955, 268, 4840, 2745, 454, 2745, 834, 763, 1739, 5311, 568, 3989, 607, 5205, 281, 4840, 2745, 834, 339, 263, 272, 264, 815, 476, 273, 4840, 2745, 834, 339, 3799, 264, 815, 476, 274, 2608, 512, 3799, 268, 272, 264, 476, 476, 272, 267, 562, 3436, 476, 272, 4840, 2745, 454, 2745, 834, 1607, 1982, 3096, 16571, 542, 547, 1265, 519, 32671, 2165, 540, 519, 5311, 4799, 2745, 454, 333, 815, 476, 272, 454, 6112, 562, 3436, 476, 271, 912, 8587, 979, 815, 8771, 454, 8587, 1247, 711, 979, 912, 2018, 2119, 912, 4449, 476, 562, 815, 703, 263, 3863, 17750, 2891, 11767, 513, 1871, 585, 562, 263, 271, 547, 16718, 2567, 27328, 4449, 476, 952, 562, 13843, 476, 272, 912, 13376, 1871, 815, 2979, 3799, 994, 13376, 1820, 454, 13376, 1820, 834, 339, 2891, 266, 1598, 3799, 11924, 8442, 815, 2580, 7407, 454, 13376, 1820, 454, 13376, 979, 815, 6936, 454, 4449, 476, 8640, 562, 2652, 476, 271, 10778, 13376, 979, 815, 6936, 454, 4449, 476, 3116, 912, 13376, 1820, 454, 13376, 1820, 834, 300, 755, 581, 3152, 982, 476, 271, 4840, 13376, 1820, 454, 2018, 4849, 912, 4449, 476, 1820, 454, 4449, 476, 1820, 834, 300, 755, 581, 513, 2898, 1297, 4840, 4449, 476, 1820, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 12051, 2282, 513, 2470, 15395, 267, 972, 729, 513, 2319, 540, 3173, 2324, 2182, 547, 1711, 10357, 7888, 2472, 269, 2290, 1554, 267, 938, 3659, 6341, 8678, 519, 12284, 607, 513, 1007, 9441, 269, 1358, 941, 593, 513, 5692, 547, 1020, 513, 2027, 2186, 540, 27500, 12249, 910, 513, 1570, 602, 2306, 5068, 14569, 256, 1809, 713, 7012, 1405, 1022, 8723, 12249, 282, 789, 4941, 621, 547, 2061, 5563, 543, 948, 2973, 909, 5533, 1932, 269, 1215, 3579, 568, 602, 2496, 21579, 781, 2319, 5249, 24091, 267, 11544, 1114, 2067, 5820, 538, 741, 2462, 6191, 269, 898, 3576, 1082, 13290, 1354, 789, 1336, 519, 3501, 3575, 269, 4438, 12899, 9397, 267, 789, 1131, 1419, 1694, 676, 519, 7404, 6288, 267, 7234, 2081, 547, 1118, 741, 12249, 15095, 609, 824, 2326, 1247, 5329, 2504, 3790, 1970, 269, 2991, 782, 267, 3025, 6499, 547, 4688, 2724, 6730, 2149, 519, 1604, 2439, 3080, 3078, 6602, 789, 1500, 729, 4946, 513, 5728, 12146, 602, 1223, 2736, 1524, 5739, 6464, 538, 1216, 543, 3037, 1107, 1818, 621, 3063, 5363, 585, 12624, 7186, 269, 17652, 2614, 267, 789, 6707, 2813, 513, 2706, 12249, 1572, 19889, 4537, 1752, 266, 269, 901, 9589, 6219, 1256, 1185, 513, 16681, 15149, 547, 6961, 875, 5863, 621, 729, 2439, 3086, 267, 1934, 2501, 519, 16168, 851, 269, 1703, 729, 1776, 2754, 945, 4862, 827, 19889, 4537, 1752, 22065, 338, 6909, 7060, 269, 15154, 789, 1223, 946, 621, 607, 513, 3532, 7738, 14049, 267, 789, 6836, 547, 21102, 519, 4542, 256, 30586, 267, 6341, 543, 1010, 2828, 8068, 1945, 9490, 8345, 693, 519, 12051, 3735, 835, 3781, 269, 11554, 1927, 267, 789, 11074, 1346, 14229, 21294, 555, 773, 1407, 538, 741, 13475, 780, 1103, 519, 1439, 267, 1498, 267, 789, 7691, 1945, 1271, 281, 1100, 2339, 875, 1390, 707, 8798, 568, 267, 621, 4465, 1405, 4194, 2042, 952, 1004, 21568, 610, 5134, 805, 621, 269, 1924, 2141, 3314, 547, 2671, 1702, 19100, 543, 960, 1927, 2509, 513, 1732, 1158, 1107, 1317, 649, 666, 798, 15813, 1919, 950, 649, 6443, 4229, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 306, 773, 521, 785, 32489, 631, 10560, 2041, 3438, 538, 552, 10719, 674, 832, 577, 2426, 572, 514, 5341, 339, 2426, 267, 5884, 521, 747, 14193, 325, 5884, 4173, 560, 749, 2426, 13153, 1979, 860, 27688, 705, 321, 879, 321, 13873, 1773, 770, 1731, 4148, 2444, 1156, 884, 345, 658, 27599, 1068, 11058, 269, 8210, 345, 7564, 327, 6352, 27119, 552, 710, 717, 525, 577, 747, 974, 267, 538, 3541, 27119, 10246, 2150, 523, 14193, 325, 613, 325, 6686, 15590, 1084, 654, 23152, 614, 2357, 342, 754, 523, 269, 589, 828, 27119, 1151, 6352, 546, 23042, 328, 884, 345, 604, 29531, 694, 514, 281, 29817, 577, 516, 756, 523, 27119, 32489, 523, 1160, 345, 612, 267, 581, 328, 1629, 32489, 683, 1132, 1979, 860, 27688, 705, 321, 879, 321, 4100, 12443, 1067, 1303, 19213, 3881, 530, 2273, 267, 546, 553, 562, 32218, 562, 584, 552, 710, 5606, 2131, 5406, 2357, 16442, 1068, 267, 521, 1180, 1716, 513, 1276, 3954, 2806, 321, 879, 13153, 5576, 611, 560, 4752, 523, 538, 3541, 772, 332, 342, 3881, 796, 614, 560, 6686, 16379, 339, 269, 667, 23042, 328, 1151, 331, 513, 1276, 5884, 918, 558, 6312, 756, 4106, 24477, 5378, 543, 7967, 7698, 1329, 575, 1168, 7564, 15590, 548, 626, 564, 530, 518, 6577, 269, 16047, 1084, 27119, 546, 23042, 328, 5884, 21277, 19241, 687, 330, 739, 523, 3768, 513, 577, 1084, 27119, 29593, 31348, 267, 5884, 2144, 325, 4650, 997, 1156, 2098, 1068, 604, 714, 1512, 684, 2102, 3768, 18873, 32489, 345, 7795, 531, 1084, 269, 12603, 717, 525, 577, 747, 974, 1151, 331, 538, 552, 10719, 28529, 20891, 2493, 339, 22772, 523, 267, 5884, 538, 3541, 715, 7564, 515, 552, 1149, 14844, 2720, 577, 583, 345, 613, 6798, 1115, 2520, 321, 2246, 530, 584, 1372, 267, 530, 334, 1965, 530, 32218, 580, 568, 339, 267, 5884, 772, 332, 342, 3881, 10964, 770, 2426, 1990, 340, 6922, 328, 7967, 269, 27119, 544, 6686, 1087, 523, 513, 1276, 552, 710, 3331, 506, 6975, 516, 756, 2426, 32489, 1962, 532, 523, 267, 967, 655, 27119, 14850, 577, 516, 756, 523, 267, 530, 773, 546, 553, 12443, 1067, 581, 2088, 515, 620, 338, 654, 25377, 2357, 342, 754, 564, 530, 584, 1372, 269, 8210, 345, 7564, 327, 6352, 27119, 5884, 717, 525, 577, 747, 974, 513, 639, 3541, 6431, 701, 330, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1001, 275, 268, 6187, 268, 6021, 307, 866, 281, 4649, 281, 1626, 268, 6860, 281, 876, 692, 14140, 3364, 596, 798, 568, 519, 20800, 780, 3287, 910, 476, 279, 344, 264, 630, 343, 910, 476, 279, 344, 264, 25883, 7717, 787, 11716, 519, 2999, 1315, 31078, 3436, 283, 12732, 3436, 594, 1810, 1405, 917, 1946, 922, 3257, 602, 454, 9827, 267, 9062, 1535, 317, 273, 267, 910, 1626, 15383, 543, 476, 279, 344, 317, 273, 676, 476, 276, 343, 454, 527, 568, 2953, 519, 1259, 594, 723, 621, 269, 621, 568, 573, 2907, 16866, 563, 1001, 275, 268, 6187, 268, 6021, 307, 2641, 281, 6734, 281, 4510, 268, 6860, 281, 876, 454, 5575, 267, 14458, 519, 20800, 1210, 29332, 6579, 1505, 1384, 5575, 267, 31072, 267, 18738, 267, 7831, 692, 3287, 268, 279, 344, 7565, 343, 268, 279, 344, 2020, 293, 284, 1535, 20080, 24210, 317, 273, 454, 302, 24210, 265, 268, 279, 344, 284, 910, 279, 15383, 454, 296, 284, 910, 279, 344, 20080, 284, 910, 279, 15383, 454, 299, 284, 910, 279, 344, 265, 268, 279, 344, 284, 476, 5038, 344, 317, 273, 692, 23382, 710, 899, 2474, 692, 343, 317, 273, 30336, 1109, 268, 279, 15383, 7545, 5231, 476, 5038, 344, 317, 273, 454, 268, 279, 15383, 454, 10900, 955, 454, 343, 317, 273, 268, 1626, 15383, 266, 5038, 344, 317, 273, 692, 3086, 649, 723, 476, 276, 343, 3287, 317, 273, 910, 1626, 15383, 1341, 5038, 344, 317, 273, 2020, 11372, 17586, 1142, 2165, 3330, 519, 23049, 609, 476, 276, 343, 692, 276, 343, 1109, 265, 1109, 343, 317, 273, 284, 476, 276, 343, 317, 274, 454, 276, 343, 1109, 265, 910, 1626, 15383, 284, 910, 3199, 343, 317, 273, 344, 454, 276, 343, 476, 1109, 265, 476, 5038, 344, 317, 273, 284, 476, 17168, 344, 317, 273, 343, 692, 29806, 3830, 281, 476, 276, 343, 23326, 1109, 268, 3199, 343, 11054, 344, 1341, 17168, 15383, 11054, 454, 10472, 2626, 568, 11234, 269, 538, 14724, 2474, 596, 798, 711, 15814, 519, 476, 276, 343, 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 ]
[ 0, 19733, 568, 513, 18463, 585, 1514, 1689, 543, 2556, 547, 1628, 7239, 602, 2463, 1480, 2924, 563, 19733, 568, 2877, 547, 2285, 2021, 543, 2367, 519, 1983, 547, 5150, 11931, 267, 1134, 1790, 4660, 6009, 547, 2057, 1514, 17181, 269, 13834, 7862, 538, 2069, 568, 5059, 593, 4008, 2861, 5079, 2066, 1353, 4610, 267, 4008, 11475, 543, 4008, 3604, 538, 3872, 10781, 563, 294, 9445, 3332, 593, 2069, 17809, 728, 5955, 563, 268, 11711, 1826, 543, 2450, 454, 268, 7300, 267, 476, 28178, 269, 6858, 22995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4990, 540, 13442, 568, 513, 562, 344, 8403, 888, 12585, 281, 4888, 4888, 307, 5085, 8008, 292, 454, 2704, 328, 1162, 281, 476, 2537, 772, 2529, 269, 476, 5780, 267, 634, 4165, 601, 2100, 519, 21470, 4211, 976, 6160, 540, 8050, 543, 17577, 267, 634, 4165, 601, 2100, 267, 4888, 4888, 307, 5085, 8008, 292, 267, 4165, 601, 2100, 2013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4484, 568, 634, 25753, 2280, 14594, 538, 26637, 1408, 8316, 25079, 781, 3209, 540, 519, 1482, 2012, 888, 12585, 281, 589, 454, 2704, 328, 1162, 281, 589, 267, 5236, 376, 350, 267, 589, 630, 12072, 1070, 9462, 482, 364, 267, 9462, 482, 494, 267, 772, 266, 21916, 274, 267, 9462, 483, 494, 267, 14594, 288, 267, 2340, 496, 506, 267, 634, 14594, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5672, 1512, 2763, 15005, 910, 2098, 12239, 288, 310, 5839, 1512, 2763, 476, 272, 19785, 330, 18054, 552, 546, 3570, 5672, 1512, 345, 795, 652, 13718, 1892, 476, 273, 692, 1607, 12744, 2982, 476, 272, 856, 540, 476, 273, 3817, 780, 313, 12239, 288, 310, 5839, 1512, 2763, 476, 272, 269, 19785, 330, 18054, 24089, 267, 15662, 376, 324, 546, 3570, 5672, 1512, 345, 795, 652, 562, 773, 657, 984, 2993, 11445, 1775, 530, 344, 345, 333, 659, 5414, 24089, 5672, 1512, 345, 5212, 342, 8527, 333, 384, 483, 798, 562, 773, 329, 269, 1975, 3863, 323, 17844, 24089, 267, 524, 5414, 522, 13700, 9195, 1415, 530, 2106, 1731, 795, 652, 1402, 22148, 344, 269, 589, 815, 476, 273, 476, 271, 476, 271, 476, 275, 476, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 273, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 645, 815, 476, 273, 476, 272, 476, 274, 476, 271, 476, 275, 476, 272, 476, 272, 476, 271, 476, 273, 476, 273, 269, 31704, 5414, 560, 1690, 384, 483, 322, 18410, 530, 345, 528, 6759, 342, 15434, 1067, 320, 1990, 333, 1446, 385, 374, 24089, 887, 345, 342, 328, 384, 483, 345, 16492, 10540, 1415, 577, 20410, 22119, 611, 6759, 342, 678, 6759, 1233, 320, 385, 482, 281, 513, 264, 1535, 586, 1990, 815, 476, 272, 476, 274, 1535, 1341, 476, 275, 586, 476, 273, 1990, 815, 476, 272, 476, 274, 1535, 476, 273, 586, 476, 273, 1990, 815, 476, 272, 536, 264, 586, 476, 274, 1990, 1341, 476, 275, 642, 815, 476, 271, 1535, 476, 273, 1990, 815, 476, 271, 476, 274, 1535, 1341, 476, 273, 586, 476, 276, 642, 815, 476, 273, 476, 275, 1535, 476, 276, 1990, 815, 476, 271, 476, 274, 269, 31704, 5414, 560, 1690, 384, 483, 322, 1990, 1558, 1328, 5154, 514, 659, 10202, 12821, 1380, 320, 887, 345, 342, 328, 384, 483, 5633, 24089, 10540, 2033, 20410, 22119, 8014, 678, 6759, 1233, 320, 385, 482, 281, 513, 264, 1535, 1341, 586, 476, 273, 1990, 815, 476, 276, 476, 273, 586, 1341, 476, 274, 1990, 815, 476, 277, 1535, 1341, 586, 476, 276, 1990, 815, 476, 274, 536, 264, 1535, 1341, 586, 1341, 1990, 815, 476, 276, 586, 1341, 1990, 1341, 512, 815, 476, 276, 1990, 1341, 512, 815, 476, 274, 1535, 1341, 512, 815, 476, 277, 524, 264, 476, 274, 1535, 476, 273, 586, 1341, 476, 276, 1990, 1341, 476, 275, 512, 815, 476, 273, 476, 277, 1535, 476, 275, 586, 1341, 476, 275, 1990, 1341, 476, 274, 512, 815, 476, 274, 476, 280, 1535, 476, 277, 586, 1341, 476, 274, 1990, 1341, 476, 273, 512, 815, 476, 275, 476, 275, 269, 681, 9926, 342, 328, 384, 483, 5633, 24089, 678, 6759, 1233, 534, 773, 281, 1496, 476, 272, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 9948, 1496, 476, 271, 476, 273, 476, 272, 476, 272, 476, 272, 476, 271, 9948, 570, 2473, 815, 1496, 476, 273, 476, 273, 476, 272, 476, 273, 9948, 476, 276, 269, 2098, 321, 3385, 24089, 887, 345, 342, 328, 384, 483, 345, 531, 7224, 23410, 24089, 20410, 22119, 611, 340, 18410, 530, 345, 6921, 384, 503, 706, 14255, 4164, 564, 337, 513, 681, 2433, 513, 264, 1535, 1341, 630, 513, 1341, 476, 272, 264, 586, 1341, 630, 273, 513, 1341, 476, 274, 264, 1990, 815, 476, 271, 476, 273, 1535, 1341, 630, 274, 513, 1341, 476, 272, 264, 586, 1341, 476, 1015, 1990, 815, 476, 271, 1535, 1341, 476, 273, 586, 1341, 476, 276, 1990, 815, 476, 271, 692, 29771, 547, 2070, 519, 2407, 3561, 780, 2791, 4312, 6603, 519, 1439, 540, 713, 12744, 563, 1892, 11354, 1412, 1240, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 1548, 1053, 616, 6031, 692, 1892, 1306, 513, 1699, 2875, 593, 713, 536, 17056, 1908, 326, 5573, 13374, 267, 594, 16686, 2390, 6092, 15552, 267, 1141, 594, 666, 1265, 1353, 2200, 585, 5176, 782, 1250, 6030, 267, 1205, 2228, 948, 689, 21493, 476, 2190, 270, 278, 267, 543, 1256, 2671, 1250, 2025, 3785, 267, 4574, 267, 543, 11000, 4967, 609, 824, 1053, 780, 298, 597, 534, 13527, 2160, 16737, 3427, 540, 6355, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 594, 3112, 1256, 4766, 875, 1454, 6092, 15552, 5280, 803, 713, 4832, 269, 898, 779, 5963, 1831, 1945, 594, 666, 2141, 7048, 593, 543, 948, 803, 269, 769, 519, 1439, 267, 594, 729, 711, 1152, 2111, 547, 7639, 4832, 5049, 267, 855, 594, 729, 2111, 547, 8853, 7064, 547, 6092, 15552, 780, 291, 3570, 2160, 540, 12425, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 634, 2702, 547, 1569, 1022, 6280, 779, 2200, 998, 6092, 15552, 9863, 17170, 538, 1250, 2013, 269, 594, 729, 3297, 593, 570, 592, 2033, 17440, 543, 2965, 1031, 17459, 6369, 779, 2326, 547, 948, 803, 1847, 4464, 543, 1205, 3388, 1927, 593, 942, 780, 297, 650, 570, 592, 2033, 2160, 2048, 1626, 267, 6092, 15552, 2902 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 973, 340, 6958, 756, 3799, 8029, 825, 952, 562, 27045, 272, 6769, 1038, 2132, 562, 1477, 825, 3116, 6769, 1038, 2132, 630, 13440, 340, 6958, 756, 3799, 268, 272, 11924, 13440, 340, 6958, 756, 3799, 268, 273, 17903, 333, 19477, 284, 276, 1477, 604, 6491, 2114, 10922, 271, 6769, 825, 1820, 2891, 11767, 2318, 8870, 14744, 12828, 6769, 825, 585, 1775, 538, 2039, 3799, 19477, 8029, 1038, 1820, 263, 13440, 340, 6958, 756, 9217, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2414, 267, 1079, 543, 1932, 454, 22706, 476, 273, 661, 6369, 910, 7335, 910, 7690, 454, 8072, 2414, 267, 1079, 543, 1932, 685, 568, 513, 476, 280, 13472, 17948, 6881, 2519, 593, 10259, 1983, 269, 901, 17948, 3992, 6941, 519, 3017, 1063, 547, 267, 1079, 543, 1932, 543, 11414, 10453, 875, 547, 946, 547, 267, 1079, 543, 1932, 538, 519, 2953, 2796, 269, 661, 6369, 9752, 8249, 281, 1677, 267, 1079, 543, 1932, 2882, 519, 1739, 2238, 912, 272, 269, 9502, 543, 1806, 540, 547, 267, 1079, 543, 1932, 454, 273, 269, 3117, 24537, 540, 1620, 2534, 454, 274, 269, 25398, 4879, 4305, 454, 8072, 2414, 267, 1079, 543, 1932, 685, 666, 581, 1031, 607, 513, 25690, 2534, 267, 11368, 883, 513, 3992, 610, 2919, 883, 513, 1770, 593, 9962, 10259, 3652, 543, 4630, 2684, 2158, 563, 2690, 513, 12744, 540, 2296, 9752, 8249, 630, 4944, 2454, 2567, 1677, 267, 1079, 543, 1932, 4945, 593, 519, 2592, 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 ]
[ 0, 7705, 281, 19850, 7585, 267, 594, 4862, 596, 6158, 827, 1135, 614, 613, 1235, 19108, 269, 1548, 779, 602, 2496, 7692, 281, 4270, 7705, 267, 930, 1004, 3494, 602, 1135, 614, 613, 1235, 616, 15293, 338, 610, 16750, 7919, 602, 899, 547, 1404, 15361, 593, 721, 676, 3001, 3615, 1472, 610, 4929, 9490, 21089, 780, 8334, 281, 7937, 267, 899, 950, 1250, 9162, 2887, 1055, 519, 15808, 1256, 1498, 18864, 20109, 873, 2496, 7692, 281, 22549, 256, 1809, 3314, 267, 1175, 1317, 1945, 4523, 602, 649, 1810, 1406, 1174, 3085, 1406, 2141, 1611, 621, 779, 3361, 676, 513, 15293, 269, 1703, 1223, 581, 824, 4128, 1932, 780, 8334, 281, 26419, 286, 1924, 1018, 3116, 1522, 1118, 1250, 9162, 1847, 1510, 4896, 15700, 873, 2496, 7692, 281, 9320, 707, 3032, 5679, 18088, 873, 1524, 1247, 4730, 267, 610, 5310, 972, 729, 513, 2370, 13091, 602, 1500, 873, 21199, 10690, 269, 1452, 616, 1572, 968, 11499, 892, 3123, 269, 1358, 616, 2621, 602, 2049, 1813, 547, 519, 3339, 25029, 540, 2470, 543, 5749, 1406, 6766, 676, 1022, 16750, 1373, 780, 8334, 281, 2334, 2306, 2631, 269, 1215, 798, 649, 4137, 856, 952, 621, 779, 513, 2067, 2014, 610, 513, 1483, 1135, 614, 613, 626, 1287, 2496, 7692, 281, 1284, 946, 938, 7422, 543, 1589, 25401, 269, 1280, 1383, 267, 952, 707, 3032, 8255, 2476, 1310, 5679, 12177, 936, 707, 9162, 267, 621, 4440, 1705, 621, 269, 2107, 952, 596, 2661, 2282, 513, 13337, 1899, 543, 1745, 519, 2666, 12152, 1076, 1354, 707, 9162, 2887, 267, 1287, 606, 13091, 949, 581, 3743, 269, 1879, 649, 1413, 5702, 267, 1034, 13655, 723, 7168, 8723, 3435, 2439, 8334, 281, 23010, 267, 3006, 594, 7340, 547, 2322, 1250, 9162, 1394, 5265, 267, 865, 789, 3362, 2887, 1055, 780, 7692, 281, 6423, 286, 5871, 2631, 2337, 721, 4194, 1082, 13410, 269, 3807, 1832, 11287, 543, 3206, 9691, 269, 1403, 596, 2479, 1265, 2963, 11021, 513, 1135, 614, 613, 626, 5963, 6818, 267, 2097, 2911, 547, 803, 2439, 8334, 281, 17610, 3364, 267, 7585, 256, 8729, 585, 7713, 3388, 865, 5693, 269, 594, 7058, 1210, 938, 12058, 786, 948, 721, 10625, 11580, 1732, 982, 18468, 538, 15293, 569, 929, 1678, 9094, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29771, 585, 1863, 693, 938, 20478, 2985, 912, 2791, 666, 2070, 713, 20394, 2228, 693, 912, 2005, 814, 1044, 2469, 593, 585, 5553, 269, 634, 4158, 267, 5728, 4025, 723, 1044, 741, 5870, 11623, 269, 19992, 6806, 267, 19526, 9885, 789, 15827, 741, 4566, 269, 6145, 519, 1357, 689, 513, 12404, 748, 17178, 267, 741, 4296, 616, 1950, 543, 2484, 23568, 269, 4256, 683, 325, 13895, 2238, 3100, 771, 329, 31212, 543, 4351, 4534, 3927, 15720, 741, 10700, 3804, 269, 8409, 945, 546, 732, 28586, 873, 616, 6216, 539, 607, 834, 4621, 335, 16820, 10808, 257, 543, 16053, 269, 898, 568, 782, 851, 540, 519, 6264, 1544, 269, 1809, 972, 568, 835, 1507, 737, 1074, 538, 741, 1357, 540, 13587, 527, 1862, 25321, 9915, 7644, 3722, 312, 808, 5495, 11748, 299, 256, 3371, 1142, 543, 1169, 3018, 547, 1577, 596, 917, 1018, 568, 2731, 2469, 593, 3297, 519, 530, 23275, 1225, 1555, 563, 1607, 3018, 3117, 335, 16820, 4750, 6770, 596, 971, 15328, 6193, 2984, 607, 912, 268, 10060, 3117, 4109, 1145, 281, 1323, 20010, 547, 14730, 17460, 20620, 268, 25491, 28259, 338, 1715, 14948, 1763, 969, 7546, 20620, 268, 10787, 1067, 2349, 1868, 14333, 681, 904, 585, 595, 3298, 262, 12280, 338, 20620, 268, 634, 14730, 17121, 540, 772, 293, 11675, 8894, 13263, 281, 28912, 6583, 15935, 6651, 593, 875, 547, 20958, 609, 1412, 21841, 11499, 26263, 1580, 320, 7055, 349, 1656, 3767, 267, 2201, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21691, 614, 613, 626, 11314, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 5369, 545, 26263, 1580, 320, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 19523, 1104, 588, 19734, 5897, 320, 14352, 560, 19734, 18667, 1467, 14061, 29328, 3890, 3418, 321, 14352, 560, 19734, 18667, 1467, 14061, 29328, 3890, 10142, 3698, 7503, 28399, 825, 952, 513, 2525, 257, 272, 257, 6769, 1038, 1989, 284, 15615, 6357, 12684, 4335, 1477, 1038, 1820, 14116, 337, 2437, 23950, 14744, 825, 8640, 513, 2525, 27324, 272, 257, 6769, 1038, 18470, 284, 15615, 6357, 8358, 4335, 1477, 1038, 1820, 10857, 321, 2437, 331, 321, 14744, 825, 8640, 513, 2525, 257, 273, 257, 6769, 1038, 4699, 284, 15615, 6357, 12684, 1911, 1477, 1038, 1820, 6262, 332, 2437, 9492, 14744, 825, 8640, 513, 2525, 27324, 273, 257, 6769, 1038, 544, 339, 284, 15615, 6357, 8358, 1911, 1477, 1038, 1820, 9852, 339, 2437, 31198, 14744, 825, 8640, 513, 2525, 257, 274, 257, 6769, 1038, 11465, 284, 15615, 6357, 12684, 271, 269, 7830, 1477, 1038, 1820, 9852, 328, 2437, 14741, 14744, 825, 8640, 513, 2525, 27324, 274, 257, 6769, 1038, 5998, 284, 15615, 6357, 8358, 271, 269, 7830, 1477, 1038, 1820, 263, 14790, 2437, 14790, 14744, 1363, 1477, 935, 11437, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23945, 589, 12197, 25676, 454, 310, 1662, 7534, 11135, 7615, 2817, 19866, 13505, 2141, 7143, 3699, 519, 4960, 547, 4001, 1053, 519, 1686, 543, 2528, 540, 938, 10723, 3135, 269, 1548, 1732, 1259, 547, 798, 713, 982, 676, 9284, 532, 519, 1053, 538, 519, 1747, 1141, 621, 782, 5949, 888, 293, 1752, 10222, 1186, 949, 1331, 519, 6288, 781, 4670, 267, 20121, 4176, 693, 667, 11921, 267, 25094, 10152, 6968, 338, 267, 2757, 1650, 942, 267, 543, 678, 9734, 28621, 3660, 19150, 693, 519, 3135, 563, 20779, 663, 585, 593, 21935, 678, 9734, 28621, 3660, 19150, 666, 581, 1164, 269, 20492, 616, 9415, 547, 1118, 31681, 693, 2547, 1079, 4374, 538, 4434, 676, 10912, 519, 21233, 4099, 693, 630, 276, 3199, 264, 476, 5392, 278, 268, 28638, 273, 563, 763, 476, 272, 476, 272, 270, 273, 13304, 678, 9734, 28621, 3660, 19150, 616, 3908, 547, 476, 4037, 1053, 269, 1284, 2307, 602, 585, 1169, 4557, 1053, 538, 519, 1895, 972, 568, 693, 2547, 835, 2937, 547, 13173, 873, 563, 14106, 6002, 616, 15695, 547, 581, 5423, 585, 4657, 4365, 2175, 269, 23203, 19756, 10887, 1247, 593, 519, 13009, 269, 898, 781, 2141, 513, 1434, 2856, 547, 3142, 513, 11058, 267, 513, 29075, 267, 24429, 267, 543, 6704, 1216, 585, 519, 3802, 563, 12441, 1411, 5700, 888, 2026, 700, 339, 269, 2051, 269, 6723, 28226, 595, 13831, 543, 1010, 2367, 887, 1372, 2509, 4563, 31509, 1479, 781, 3786, 789, 28815, 2185, 2395, 540, 1025, 11170, 731, 2175, 269, 11153, 10136, 941, 4299, 676, 519, 1651, 2211, 4365, 1519, 2361, 23262, 8361, 700, 2089, 4532, 2714, 543, 5261, 11412, 545, 651, 1312, 540, 7247, 941, 588, 4459, 523, 609, 6777, 21901, 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 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 30667, 476, 6078, 910, 476, 5655, 563, 21296, 14893, 5999, 454, 272, 269, 634, 1101, 1126, 547, 26250, 1200, 568, 9741, 8738, 331, 4171, 2063, 2012, 568, 1018, 888, 273, 269, 6969, 6424, 6411, 593, 519, 5796, 540, 7323, 7705, 267, 23520, 5362, 26208, 6424, 543, 2441, 344, 609, 606, 27592, 547, 1491, 851, 538, 513, 1018, 888, 274, 269, 645, 612, 773, 781, 4651, 568, 918, 1803, 1018, 888, 275, 269, 2441, 344, 781, 1101, 1554, 540, 1153, 607, 513, 6216, 1007, 4116, 568, 538, 513, 835, 268, 3336, 1153, 5264, 609, 875, 1082, 1453, 888, 276, 269, 2441, 344, 9060, 6004, 269, 19999, 1633, 1141, 543, 12134, 1864, 547, 1491, 1200, 593, 547, 12338, 614, 29361, 888, 5416, 264, 4937, 15188, 563, 6357, 264, 16362, 781, 19970, 563, 6262, 264, 5403, 8433, 563, 14112, 8382, 5999, 454, 272, 269, 2290, 9683, 3510, 602, 568, 711, 29211, 676, 519, 2575, 540, 6424, 781, 20410, 2544, 548, 568, 609, 562, 27197, 31644, 1032, 6040, 589, 2863, 1018, 888, 273, 269, 1548, 568, 519, 1292, 4087, 540, 519, 1433, 888, 274, 269, 1548, 568, 519, 2012, 540, 519, 1975, 27247, 1920, 4620, 888, 275, 269, 1215, 1454, 786, 519, 3662, 602, 519, 5692, 2115, 1942, 888, 276, 269, 8535, 814, 1256, 1128, 580, 730, 1018, 693, 519, 5692, 513, 7008, 540, 17334, 513, 3018, 585, 519, 1762, 1004, 888, 1607, 3296, 3568, 476, 8687, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 258, 6853, 23631, 613, 343, 318, 272, 18258, 454, 5814, 556, 692, 516, 613, 343, 815, 1412, 343, 262, 476, 1948, 6343, 649, 2811, 3168, 585, 454, 339, 13759, 284, 1412, 307, 1410, 553, 7055, 14310, 284, 516, 269, 14142, 263, 516, 613, 343, 267, 3077, 2020, 604, 1267, 912, 13537, 2891, 312, 599, 256, 476, 15079, 1336, 1701, 269, 8971, 263, 516, 613, 343, 4917, 13537, 2891, 763, 1336, 1843, 568, 281, 15079, 2668, 8971, 31114, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 798, 596, 1397, 602, 519, 2798, 630, 1240, 267, 476, 275, 1070, 630, 1321, 267, 476, 1321, 1070, 543, 630, 279, 267, 476, 275, 264, 616, 519, 14622, 540, 606, 568, 30801, 6906, 2496, 13971, 476, 2764, 267, 476, 1001, 278, 692, 8450, 513, 3070, 1184, 2630, 1384, 2971, 19247, 1384, 2304, 568, 30801, 6906, 814, 1079, 5011, 519, 1482, 3259, 269, 1284, 666, 1265, 519, 3259, 540, 519, 1614, 1899, 12415, 269, 1403, 1079, 616, 519, 1482, 3259, 1287, 519, 2798, 616, 519, 14622, 540, 606, 568, 30801, 6906, 780, 4131, 781, 1289, 519, 18745, 1384, 259, 288, 1422, 3847, 263, 1240, 2073, 476, 275, 9368, 22491, 259, 289, 1422, 3847, 263, 1321, 2073, 476, 1321, 9368, 22491, 259, 290, 1422, 3847, 263, 279, 2073, 476, 275, 9368, 22491, 763, 4542, 585, 12719, 519, 3845, 1063, 1079, 2798, 568, 1384, 259, 323, 815, 1422, 6912, 346, 3189, 3847, 7268, 3667, 10233, 346, 1042, 2410, 346, 343, 13925, 273, 3686, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 346, 343, 13925, 272, 14990, 2431, 264, 8703, 273, 348, 1341, 11513, 3847, 7268, 3667, 10233, 346, 1042, 2410, 346, 344, 13925, 273, 3686, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 346, 344, 13925, 272, 14990, 2431, 264, 8703, 273, 32556, 259, 346, 323, 13925, 288, 910, 645, 348, 815, 1422, 6912, 346, 3189, 3847, 7268, 3667, 10233, 346, 1042, 2410, 1321, 348, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 1240, 4153, 2431, 264, 8703, 273, 348, 1341, 11513, 3847, 7268, 3667, 10233, 346, 1042, 2410, 1321, 348, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 275, 4153, 2431, 264, 8703, 273, 32556, 259, 346, 323, 13925, 288, 910, 645, 348, 815, 1422, 6912, 346, 3189, 3847, 8987, 476, 277, 9368, 264, 8703, 273, 348, 1341, 2715, 279, 8703, 273, 32556, 259, 346, 323, 13925, 288, 910, 645, 348, 815, 1422, 6912, 346, 3607, 1341, 476, 5038, 10592, 259, 346, 323, 13925, 288, 910, 645, 348, 815, 1422, 6912, 346, 1911, 10592, 259, 346, 323, 13925, 288, 910, 645, 348, 815, 476, 1015, 6911, 259, 346, 323, 13925, 288, 910, 595, 348, 815, 1422, 6912, 346, 3189, 3847, 7268, 3667, 10233, 346, 1042, 2410, 279, 348, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 1240, 4153, 2431, 264, 8703, 273, 348, 1341, 11513, 3847, 7268, 3667, 10233, 346, 1042, 2410, 275, 348, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 275, 4153, 2431, 264, 8703, 273, 32556, 259, 346, 323, 13925, 288, 910, 595, 348, 815, 1422, 6912, 346, 3189, 3847, 8987, 476, 1015, 9368, 264, 8703, 273, 348, 1341, 2715, 271, 8703, 273, 32556, 259, 346, 323, 13925, 288, 910, 595, 348, 815, 1422, 6912, 346, 1911, 1341, 476, 271, 10592, 259, 346, 323, 13925, 288, 910, 595, 348, 815, 1422, 6912, 346, 1911, 10592, 259, 346, 323, 13925, 288, 910, 595, 348, 815, 476, 1015, 6911, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 1422, 6912, 346, 3189, 3847, 7268, 3667, 10233, 346, 1042, 2410, 279, 348, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 1321, 4153, 2431, 264, 8703, 273, 348, 1341, 11513, 3847, 7268, 3667, 10233, 346, 1042, 2410, 275, 348, 910, 1422, 3667, 10233, 15830, 561, 579, 552, 2410, 1321, 4153, 2431, 264, 8703, 273, 32556, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 1422, 6912, 346, 3189, 3847, 8987, 476, 275, 9368, 264, 8703, 273, 348, 1341, 11513, 3847, 8987, 476, 275, 9368, 264, 8703, 273, 32556, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 1422, 6912, 346, 1626, 1341, 476, 1626, 10592, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 1422, 6912, 346, 3953, 10592, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 1422, 6912, 346, 1626, 1422, 10383, 476, 273, 10592, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 1422, 6912, 346, 1626, 348, 1422, 6912, 346, 273, 10592, 259, 346, 323, 13925, 289, 910, 595, 348, 815, 476, 275, 1422, 6912, 346, 273, 10592, 10303, 20270, 323, 13925, 288, 910, 645, 348, 815, 2715, 323, 13925, 288, 910, 595, 348, 815, 476, 1015, 259, 891, 2798, 616, 519, 14622, 540, 606, 568, 30801, 6906, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1548, 616, 519, 4408, 540, 519, 16463, 10833, 267, 3006, 1572, 18105, 1461, 625, 267, 12816, 676, 31249, 6014, 2367, 593, 741, 2212, 543, 6186, 1282, 3018, 1485, 6640, 19001, 888, 12585, 281, 570, 1030, 20275, 454, 2704, 328, 1162, 281, 570, 1030, 650, 574, 267, 570, 32397, 559, 514, 267, 570, 1030, 20275, 17125, 549, 3333, 267, 570, 1030, 20275, 6692, 549, 3333, 267, 8567, 543, 18105, 1461, 625, 267, 19978, 15102, 8659, 538, 570, 1030, 20275, 267, 17125, 887, 3333, 267, 17125, 549, 3333, 267, 570, 16344, 514, 267, 1855, 742, 20275, 267, 6014, 18105, 716, 1559, 267, 17125, 681, 9655, 267, 570, 1030, 559, 514, 267, 570, 262, 15640, 514, 267, 570, 32397, 20275, 267, 570, 1030, 749, 514, 267, 1855, 742, 559, 514, 267, 570, 15640, 514, 267, 570, 1030, 559, 574, 267, 570, 1030, 20275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27387, 281, 5890, 11228, 12793, 692, 272, 269, 12361, 5890, 11228, 12793, 692, 296, 991, 519, 3268, 547, 713, 1966, 6045, 267, 5225, 780, 1103, 519, 1032, 476, 1220, 271, 267, 519, 2551, 540, 9098, 729, 827, 476, 278, 267, 6110, 267, 1822, 269, 9737, 519, 1296, 476, 1220, 271, 543, 476, 1220, 275, 267, 519, 2551, 538, 9098, 8057, 693, 513, 2557, 540, 476, 276, 269, 275, 10065, 2311, 713, 2208, 2557, 267, 519, 1599, 535, 3287, 264, 815, 476, 278, 267, 6110, 267, 1822, 630, 272, 269, 4962, 275, 8203, 343, 3947, 519, 2551, 27976, 8986, 1310, 476, 1220, 271, 563, 1103, 1018, 1032, 786, 519, 2551, 3914, 476, 1428, 267, 1822, 267, 1822, 888, 1103, 1018, 1032, 786, 519, 2551, 3914, 476, 736, 267, 1822, 267, 1822, 2496, 12552, 780, 273, 269, 535, 3287, 264, 4564, 519, 2551, 1310, 1535, 2179, 540, 1296, 269, 1924, 267, 596, 616, 2016, 535, 3287, 264, 815, 476, 1428, 476, 1822, 476, 1822, 543, 476, 736, 476, 1822, 476, 1822, 543, 1590, 4194, 585, 1535, 630, 328, 4318, 269, 519, 2179, 540, 1296, 1310, 476, 1220, 271, 1040, 1924, 1384, 7445, 6234, 476, 1428, 476, 1822, 476, 1822, 815, 476, 278, 476, 6110, 476, 1822, 630, 272, 269, 4962, 275, 22722, 343, 21456, 7445, 6234, 1422, 2765, 346, 5611, 2410, 10619, 348, 815, 630, 272, 269, 4962, 275, 22722, 343, 21456, 7445, 6234, 1422, 2765, 346, 4037, 2410, 4391, 348, 815, 630, 272, 269, 4962, 275, 22722, 343, 10592, 12648, 519, 17969, 916, 540, 1312, 5011, 543, 4194, 585, 1535, 269, 22067, 1394, 952, 596, 1869, 723, 8373, 2439, 10955, 1243, 281, 16700, 1348, 476, 278, 476, 6110, 476, 1822, 585, 476, 10619, 476, 1822, 476, 1822, 692, 274, 269, 20323, 17397, 676, 522, 318, 302, 454, 325, 3287, 264, 4564, 519, 2551, 1310, 1535, 2179, 540, 1296, 269, 1924, 267, 596, 616, 2016, 535, 3287, 264, 815, 476, 1428, 476, 1822, 476, 1822, 543, 476, 736, 476, 1822, 476, 1822, 543, 1590, 4194, 585, 1535, 630, 328, 4318, 269, 519, 2179, 540, 1296, 1310, 476, 1220, 271, 1040, 1924, 1384, 7445, 6234, 476, 1428, 476, 1822, 476, 1822, 815, 476, 10619, 476, 1822, 476, 1822, 630, 272, 269, 4962, 275, 22722, 343, 21456, 7445, 6234, 1422, 2765, 346, 1428, 2410, 10619, 348, 815, 630, 272, 269, 4962, 275, 22722, 343, 10592, 12648, 519, 17969, 916, 540, 1312, 5011, 543, 4194, 585, 1535, 269, 22067, 1394, 952, 596, 1869, 723, 8373, 2336, 296, 6415, 20994, 267, 1018, 616, 17969, 916, 2496, 275, 269, 5620, 596, 2479, 2938, 713, 10035, 1354, 888, 7445, 6234, 1422, 8421, 3287, 264, 1422, 15153, 1422, 3667, 346, 528, 348, 1422, 15153, 1422, 15238, 630, 343, 22491, 276, 269, 20323, 17397, 676, 522, 318, 302, 454, 5970, 596, 2479, 2938, 713, 10035, 1354, 888, 7445, 6234, 1422, 8421, 3287, 264, 1422, 15153, 1422, 3667, 346, 528, 348, 1422, 15153, 1422, 15238, 630, 343, 7751, 454, 5591, 13718, 277, 269, 4270, 713, 3322, 4730, 609, 930, 2338, 1287, 269, 1280, 1383, 267, 952, 596, 11690, 538, 1535, 815, 476, 1724, 630, 328, 4318, 269, 519, 1032, 476, 1001, 274, 264, 596, 1265, 602, 519, 2551, 568, 476, 1691, 476, 32133, 476, 279, 6858, 630, 3286, 513, 3787, 1447, 982, 476, 1428, 476, 1822, 476, 1822, 264, 1247, 950, 596, 11690, 538, 1535, 815, 476, 1691, 596, 1265, 602, 519, 2551, 568, 476, 1428, 476, 3393, 275, 476, 4649, 275, 630, 3286, 513, 3787, 936, 1040, 1924, 267, 596, 666, 9959, 602, 12341, 538, 519, 1032, 476, 1001, 274, 267, 519, 2551, 786, 3914, 476, 1428, 476, 1822, 476, 1822, 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 ]
[ 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 5035, 19158, 8541, 8266, 17338, 2187, 825, 1219, 6449, 8181, 9191, 1345, 28083, 12173, 28083, 5091, 984, 22561, 28083, 22710, 17342, 316, 2187, 1038, 1592, 14857, 8181, 1029, 8443, 7481, 1038, 1582, 20508, 30381, 12173, 454, 1038, 1582, 6155, 984, 30381, 5091, 984, 454, 1038, 1582, 269, 2169, 754, 5416, 22710, 994, 825, 1219, 1283, 274, 4311, 2187, 1038, 536, 22710, 284, 1598, 4433, 9285, 263, 3553, 8443, 338, 534, 527, 1125, 6025, 264, 585, 512, 538, 1582, 316, 4297, 314, 271, 281, 274, 7481, 1038, 2132, 630, 321, 22710, 2020, 3698, 3403, 4289, 6025, 868, 12803, 2187, 825, 2119, 912, 1038, 609, 1930, 6025, 868, 12803, 264, 607, 512, 868, 12774, 912, 2018, 512, 868, 14403, 284, 339, 868, 12774, 18667, 1467, 4590, 2018, 512, 868, 318, 719, 284, 339, 868, 14403, 14714, 8692, 14061, 20889, 2891, 2437, 994, 2018, 513, 324, 284, 288, 628, 8541, 8266, 6025, 868, 318, 719, 21014, 263, 271, 1070, 339, 868, 318, 719, 21014, 263, 271, 1070, 339, 868, 318, 719, 994, 2018, 2132, 263, 2801, 994, 825, 4849, 594, 302, 13286, 607, 476, 1470, 20482, 912, 1038, 1820, 2891, 22473, 18438, 10590, 266, 1598, 263, 1470, 20482, 4917, 1038, 2132, 263, 14085, 994, 3097, 3698, 24846, 1125, 263, 5503, 23952, 2187, 825, 2119, 912, 1038, 952, 29038, 257, 538, 942, 23952, 912, 2018, 8237, 614, 6889, 268, 4840, 1038, 8640, 834, 281, 257, 538, 942, 23952, 912, 2018, 8237, 614, 6889, 281, 4840, 1038, 3116, 912, 2018, 2132, 263, 5503, 23952, 994, 1038, 630, 332, 1231, 267, 5913, 338, 6661, 5503, 23952, 21858, 4433, 5902, 614, 994, 1038, 2132, 9852, 1231, 266, 257, 1701, 266, 5913, 338, 994, 825, 4849, 7392, 13286, 607, 1119, 20482, 912, 1038, 1820, 2891, 13911, 18438, 10590, 266, 1598, 263, 1399, 20482, 4917, 1038, 2132, 263, 14085, 2020, 591, 822, 328, 284, 288, 628, 8541, 8266, 2891, 591, 822, 328, 5602, 591, 822, 328, 6910, 2891, 274, 269, 2641, 5602, 2745, 263, 591, 822, 328, 6745, 641, 274, 15405, 591, 822, 328, 269, 2169, 754, 8443, 257, 273, 269, 11463, 14824, 273, 269, 10019, 257, 7481, 2745, 263, 591, 822, 328, 6745, 641, 274, 15405, 338, 23022, 284, 6358, 4289, 2891, 338, 23022, 273, 17902, 5602, 2745, 4433, 23022, 20508, 266, 257, 262, 338, 16595, 2053, 616, 281, 257, 266, 338, 23022, 6745, 641, 274, 28829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 523, 9222, 281, 7151, 519, 9441, 6428, 776, 568, 681, 300, 476, 273, 267, 8517, 267, 543, 519, 22429, 593, 5130, 568, 681, 300, 476, 276, 267, 4968, 267, 875, 547, 5173, 519, 21768, 293, 538, 12844, 639, 888, 9616, 281, 7151, 568, 3144, 585, 21768, 293, 476, 1556, 30515, 6097, 547, 519, 21768, 293, 3349, 607, 2630, 267, 1346, 9441, 779, 14057, 568, 1447, 982, 681, 300, 476, 276, 267, 1822, 855, 22429, 942, 952, 519, 13848, 543, 22429, 568, 811, 982, 681, 300, 276, 267, 1822, 267, 519, 16108, 2427, 1058, 3565, 607, 476, 1724, 30515, 11405, 1384, 272, 269, 1284, 1058, 5352, 476, 273, 526, 3368, 2628, 2651, 1354, 10451, 645, 2177, 4785, 692, 21995, 681, 300, 476, 18231, 271, 799, 568, 1759, 593, 1412, 518, 476, 1724, 260, 476, 1109, 262, 2465, 476, 1556, 30515, 1765, 285, 28582, 547, 519, 21768, 293, 7305, 2039, 630, 5804, 476, 273, 267, 8517, 269, 4905, 547, 476, 273, 267, 279, 736, 269, 876, 264, 14146, 518, 476, 3607, 275, 269, 876, 476, 1109, 32715, 2465, 476, 28143, 269, 876, 692, 273, 269, 2991, 6192, 476, 273, 526, 21009, 9796, 2651, 267, 5352, 645, 2177, 4785, 780, 10000, 11845, 519, 9441, 543, 22429, 2179, 607, 681, 300, 476, 276, 267, 13975, 692, 274, 269, 3619, 547, 2637, 4733, 9796, 2651, 585, 645, 2177, 4785, 780, 30860, 602, 519, 21768, 293, 685, 518, 568, 6029, 607, 681, 300, 476, 6924, 280, 269, 476, 1109, 2521, 547, 5173, 630, 305, 300, 476, 1109, 6924, 280, 1315, 681, 300, 476, 276, 267, 13975, 264, 2473, 476, 1911, 815, 476, 1724, 30515, 4467, 1584, 566, 281, 7042, 9616, 281, 1879, 4607, 513, 22429, 540, 681, 300, 476, 276, 267, 13975, 267, 649, 1058, 2226, 547, 5173, 519, 21768, 293, 3490, 593, 476, 1724, 260, 1317, 2698, 13230, 681, 300, 273, 267, 8517, 1341, 681, 300, 476, 276, 267, 13975, 568, 811, 982, 681, 300, 276, 267, 1822, 692, 2252, 2596, 13848, 811, 982, 681, 300, 476, 276, 267, 1822, 568, 7384, 609, 476, 1321, 30515, 17798, 267, 12844, 639, 21768, 293, 9819, 786, 581, 630, 305, 300, 476, 18231, 271, 1341, 681, 300, 476, 276, 267, 13975, 264, 815, 681, 300, 476, 279, 267, 18089, 692, 305, 300, 476, 279, 267, 18089, 786, 2887, 593, 2039, 3245, 476, 279, 267, 1822, 269, 4905, 547, 476, 279, 267, 1911, 269, 876, 10484, 2252, 596, 3277, 547, 519, 3349, 267, 621, 568, 13288, 607, 476, 1321, 30515, 3383, 267, 649, 8261, 5173, 855, 3490, 593, 1109, 305, 300, 476, 279, 267, 1911, 1109, 314, 15612, 566, 1759, 593, 2552, 9084, 15580, 630, 23612, 21480, 22708, 13318, 1737, 540, 681, 300, 279, 267, 18089, 1109, 314, 15612, 566, 1759, 593, 3169, 6871, 6540, 305, 300, 476, 279, 1015, 271, 1535, 476, 1724, 260, 815, 681, 300, 476, 272, 267, 4962, 274, 780, 289, 517, 639, 21768, 293, 585, 14146, 518, 2443, 285, 681, 300, 476, 10755, 274, 7304, 300, 3607, 275, 815, 681, 300, 476, 6924, 280, 1109, 314, 305, 300, 3607, 275, 6976, 538, 476, 273, 526, 21009, 6540, 289, 517, 639, 21768, 293, 585, 31287, 4534, 15010, 681, 300, 476, 8660, 272, 910, 681, 300, 476, 28143, 1109, 314, 305, 300, 28143, 6976, 538, 476, 273, 526, 21009, 316, 1109, 284, 681, 300, 476, 6812, 274, 692, 30747, 569, 3277, 13613, 585, 3877, 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 ]
[ 0, 720, 815, 476, 1556, 692, 604, 2085, 13843, 476, 1240, 912, 825, 1820, 2891, 3849, 738, 5602, 19197, 2085, 13843, 476, 1724, 912, 825, 1820, 2891, 5938, 523, 4526, 5602, 12828, 912, 825, 1820, 2891, 298, 573, 5602, 2745, 2891, 5472, 2944, 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 ]
[ 0, 5814, 17408, 788, 344, 454, 22322, 258, 3651, 519, 2418, 9935, 454, 4621, 10179, 318, 4486, 815, 834, 283, 20365, 1883, 1934, 285, 4840, 4621, 10179, 26000, 4038, 815, 834, 283, 20365, 1883, 1934, 285, 4840, 17739, 4671, 7505, 815, 834, 283, 20365, 1883, 1934, 285, 4840, 17739, 4671, 7505, 26000, 4038, 815, 834, 283, 20365, 1883, 1934, 285, 4840, 22322, 258, 28431, 540, 7082, 1883, 543, 7082, 5728, 454, 2246, 327, 815, 17408, 788, 344, 20166, 288, 3578, 21652, 2401, 263, 4621, 10179, 318, 4486, 267, 7082, 26000, 4038, 994, 22322, 258, 1305, 1569, 547, 3593, 781, 1569, 1883, 543, 1569, 5728, 3097, 2246, 327, 15630, 318, 17739, 4671, 7505, 263, 17739, 4671, 7505, 267, 1569, 4671, 7505, 26000, 4038, 994, 22322, 258, 10912, 519, 3284, 328, 3097, 777, 328, 815, 17408, 788, 344, 269, 4338, 296, 263, 2246, 327, 994, 22322, 258, 519, 9517, 540, 519, 3593, 454, 573, 815, 3403, 2891, 8923, 3403, 519, 3593, 12108, 2272, 281, 19515, 22322, 258, 10099, 4221, 519, 3593, 454, 12528, 815, 3284, 328, 10947, 318, 12528, 263, 573, 2020, 31742, 532, 18045, 815, 1193, 263, 12528, 14714, 520, 4926, 18045, 994, 22322, 2745, 6600, 10454, 1297, 540, 2022, 676, 519, 3593, 616, 2433, 2715, 31742, 532, 18045, 348, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 271, 692, 258, 1548, 1079, 2338, 616, 519, 717, 20003, 540, 476, 3445, 2496, 24993, 281, 476, 275, 270, 2764, 270, 1708, 273, 692, 310, 5942, 14871, 692, 278, 344, 3516, 692, 3445, 543, 476, 5197, 723, 513, 717, 20003, 540, 476, 3445, 780, 310, 5942, 14871, 692, 278, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 1548, 1079, 2338, 616, 519, 717, 20003, 540, 476, 3445, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 2162, 1548, 616, 519, 717, 20003, 540, 476, 3445, 2496, 2791, 991, 693, 2547, 1079, 2338, 585, 513, 717, 20003, 780, 2162, 1548, 1079, 2338, 575, 325, 322, 568, 476, 3445, 2496, 763, 717, 20003, 540, 476, 3445, 543, 476, 5197, 568, 476, 3445, 780, 2162, 1548, 616, 519, 1079, 2338, 602, 717, 20003, 568, 476, 3445, 2496, 3445, 543, 476, 5197, 267, 1851, 1866, 780, 277, 543, 476, 3445, 692, 2162, 1548, 568, 519, 2040, 607, 513, 1587, 540, 575, 22396, 540, 519, 1079, 2338, 476, 4037, 7132, 476, 3445, 2496, 763, 717, 20003, 540, 476, 4037, 543, 476, 3445, 568, 476, 1428, 780, 2412, 543, 476, 2004, 692, 2162, 1548, 616, 476, 273, 2338, 602, 723, 476, 3445, 607, 741, 717, 20003, 2496, 763, 2338, 616, 476, 3445, 543, 476, 5197, 692, 3393, 543, 476, 1015, 692, 2162, 1548, 1079, 1297, 1118, 476, 3393, 519, 717, 20003, 2496, 5976, 519, 2338, 476, 3445, 543, 476, 3393, 267, 476, 3393, 568, 519, 717, 20003, 263, 15124, 652, 5871, 16748, 6393, 3393, 543, 476, 1015, 692, 2162, 1548, 1297, 814, 513, 717, 20003, 540, 476, 3445, 2496, 9336, 2318, 1297, 568, 519, 6574, 3815, 540, 3294, 780, 2162, 1548, 568, 519, 6574, 1455, 1249, 518, 540, 476, 3445, 2496, 2791, 991, 693, 2547, 1079, 2338, 547, 1265, 513, 717, 20003, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 2295, 540, 22208, 781, 14297, 2575, 6429, 267, 606, 967, 773, 6512, 3957, 634, 30667, 729, 11543, 20086, 269, 19612, 585, 741, 9997, 995, 23964, 543, 2219, 4538, 18405, 267, 789, 941, 519, 2911, 540, 519, 4884, 269, 8616, 267, 9624, 782, 519, 10761, 267, 972, 729, 513, 29886, 2243, 910, 945, 729, 519, 11430, 878, 626, 3297, 891, 7096, 7574, 6386, 2496, 3080, 1554, 267, 1310, 513, 3226, 27615, 9934, 31667, 531, 267, 1291, 13047, 626, 808, 19414, 2040, 3000, 539, 1010, 6512, 10863, 910, 13691, 626, 681, 13704, 267, 14941, 1067, 7665, 267, 543, 18369, 626, 25424, 910, 883, 519, 27452, 1396, 3039, 4055, 269, 634, 2011, 5433, 5230, 609, 24736, 607, 808, 19414, 10709, 539, 1996, 519, 12816, 13050, 4172, 577, 267, 1010, 4064, 17655, 936, 1142, 4759, 1354, 646, 12038, 780, 20442, 666, 1405, 1832, 9319, 713, 1888, 1022, 3476, 2437, 808, 19414, 3459, 267, 1010, 5639, 32444, 2943, 6109, 269, 834, 10144, 1616, 547, 917, 945, 11339, 938, 18405, 3010, 5591, 1695, 17146, 9296, 3228, 2406, 593, 1010, 11381, 1247, 7665, 535, 573, 1326, 539, 609, 1010, 14941, 22496, 269, 8307, 681, 13704, 1558, 808, 19414, 781, 22401, 14961, 267, 1200, 11263, 15472, 936, 519, 10569, 540, 1200, 14980, 13754, 6500, 269, 2991, 1018, 8604, 899, 606, 552, 1181, 640, 267, 1352, 6368, 13264, 519, 16563, 780, 24679, 781, 803, 267, 808, 19414, 2437, 681, 13704, 21334, 539, 267, 19011, 1154, 1200, 22401, 269, 834, 296, 2328, 519, 18405, 3010, 288, 5951, 540, 9983, 18233, 936, 873, 267, 4553, 676, 8323, 543, 1620, 269, 1358, 6785, 827, 681, 13704, 781, 24360, 2250, 267, 875, 1352, 1031, 547, 4760, 1200, 4555, 1282, 18632, 2053, 269, 8409, 3817, 9927, 883, 8964, 267, 26311, 856, 6151, 4664, 543, 10952, 31739, 902, 602, 2968, 519, 22449, 540, 634, 30667, 262, 3961, 780, 297, 19414, 6410, 2509, 681, 13704, 267, 17680, 6137, 1200, 13105, 9900, 269, 834, 3963, 4769, 1405, 596, 2995, 721, 19692, 12482, 305, 13704, 6743, 909, 1287, 267, 5870, 808, 19414, 781, 22401, 1586, 269, 834, 10303, 789, 5749, 1405, 1175, 1250, 1913, 15042, 1862, 16269, 4866, 547, 721, 1631, 3010, 1607, 4090, 6825, 513, 7432, 1448, 585, 634, 30667, 269, 4256, 6125, 2620, 2989, 267, 6616, 602, 1169, 5152, 729, 2840, 339, 1117, 689, 3838, 2833, 543, 7104, 7067, 269, 1306, 789, 22283, 5196, 5933, 267, 26311, 741, 12271, 856, 998, 2575, 267, 789, 5645, 609, 873, 2984, 540, 1928, 5828, 883, 1379, 267, 14334, 25139, 676, 1148, 267, 543, 1657, 782, 267, 519, 5898, 540, 5698, 10489, 2056, 1367, 9163, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 8005, 568, 5097, 3743, 585, 1603, 519, 18405, 538, 634, 30667, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 519, 1344, 540, 519, 2818, 543, 5107, 540, 634, 30667, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 309, 344, 520, 6390, 17135, 622, 630, 305, 11701, 281, 31560, 9326, 4344, 4736, 18547, 9326, 28314, 7846, 16648, 21268, 17221, 9326, 267, 772, 323, 332, 4669, 281, 31560, 19277, 18547, 28314, 7846, 16648, 21268, 17221, 13953, 267, 28927, 578, 25795, 281, 31560, 4138, 10948, 3264, 28314, 7846, 16648, 21268, 17221, 13953, 267, 570, 20345, 281, 31560, 399, 503, 4344, 7549, 3264, 28314, 7846, 16648, 21268, 20265, 4736, 9924, 264, 729, 513, 17294, 622, 540, 519, 6739, 7276, 543, 6739, 590, 12396, 305, 267, 609, 922, 3854, 538, 2749, 966, 344, 520, 6390, 630, 852, 1634, 607, 918, 10098, 341, 1070, 689, 476, 9692, 277, 547, 476, 4572, 280, 269, 769, 519, 17294, 622, 779, 1858, 941, 13883, 1034, 2694, 540, 2413, 918, 10098, 341, 744, 4565, 770, 543, 772, 323, 332, 4669, 6243, 563, 347, 294, 4261, 28672, 540, 6739, 7276, 630, 9692, 277, 1700, 4489, 278, 1070, 6739, 6243, 267, 543, 19954, 12396, 305, 630, 4489, 278, 1700, 4572, 280, 10245, 19613, 1369, 519, 6739, 7276, 454, 347, 15433, 267, 277, 3066, 5998, 273, 630, 4792, 267, 5392, 275, 13483, 11465, 10245, 19064, 11823, 30834, 2888, 1475, 22222, 1091, 281, 476, 1556, 2008, 2005, 729, 4646, 593, 8513, 540, 519, 3140, 3338, 540, 966, 344, 520, 6390, 630, 31142, 281, 966, 2045, 23706, 1916, 309, 344, 520, 6390, 17135, 622, 729, 536, 23912, 609, 966, 860, 6767, 17135, 622, 630, 1729, 519, 5087, 1070, 18983, 17135, 622, 630, 1729, 519, 7532, 1070, 715, 714, 327, 5500, 8734, 326, 528, 617, 543, 20673, 534, 17294, 919, 630, 1729, 519, 5045, 1070, 543, 918, 739, 668, 320, 17135, 622, 630, 1729, 519, 7178, 1040, 4706, 1858, 729, 5111, 476, 15433, 267, 277, 3066, 5998, 273, 630, 4792, 267, 5392, 275, 13483, 11465, 1916, 763, 17294, 622, 729, 5258, 883, 476, 1556, 579, 6614, 345, 1091, 912, 6097, 547, 519, 476, 6245, 278, 14829, 267, 519, 2551, 540, 519, 966, 344, 520, 6390, 17135, 622, 729, 476, 274, 267, 27157, 267, 279, 4029, 269, 6739, 1004, 7768, 476, 6507, 269, 275, 260, 540, 519, 2551, 282, 772, 323, 332, 4669, 1004, 1107, 476, 1321, 269, 276, 260, 282, 25795, 1004, 1107, 476, 275, 269, 279, 9077, 543, 570, 20345, 1004, 1107, 476, 275, 269, 272, 10065, 4340, 547, 476, 4198, 279, 1239, 267, 519, 2551, 729, 476, 273, 267, 11277, 267, 3445, 275, 282, 2687, 476, 4489, 271, 1239, 621, 729, 476, 274, 267, 278, 5325, 267, 1822, 563, 268, 9745, 834, 396, 509, 21268, 27593, 9326, 11714, 4736, 3264, 29652, 27569, 3522, 9326, 10780, 3264, 16417, 10528, 25986, 9841, 21660, 4736, 3264, 6459, 23845, 9326, 2843, 510, 25974, 4736, 4138, 13953, 4736, 7549, 26281, 2843, 502, 9261, 10528, 21268, 4138, 4138, 476, 6245, 278, 28314, 1701, 1496, 763, 1101, 2489, 14829, 540, 519, 2551, 540, 519, 6739, 7276, 538, 476, 6245, 278, 4940, 5915, 24005, 28315, 630, 514, 6739, 1916, 268, 9745, 4985, 883, 519, 5824, 3134, 19973, 630, 29551, 8563, 29391, 23845, 3264, 11714, 2843, 375, 19277, 4138, 4709, 4736, 7549, 7846, 19628, 16044, 491, 10528, 4138, 15671, 13077, 32553, 4138, 7549, 7846, 1916, 268, 9745, 2843, 498, 27671, 25974, 7549, 5284, 379, 28315, 2443, 2843, 509, 23485, 6459, 5284, 370, 23845, 3264, 269, 29112, 10528, 13077, 8563, 3378, 10948, 17221, 7549, 11012, 4344, 19277, 4138, 13150, 4138, 10948, 27799, 24012, 17153, 10780, 30718, 3522, 13194, 3522, 16021, 6459, 3264, 13953, 454, 268, 9745, 2843, 510, 25974, 4736, 4138, 9326, 281, 2843, 509, 17201, 21170, 3264, 28314, 3264, 22147, 13077, 32553, 4138, 10948, 27799, 7549, 3378, 3264, 16068, 10528, 25986, 3522, 17221, 3264, 21660, 20732, 3264, 15671, 3378, 16068, 16021, 10948, 3264, 13150, 27593, 281, 2843, 507, 3522, 13150, 17201, 9841, 20265, 9326, 15800, 18194, 18775, 5284, 370, 20265, 9326, 17095, 17221, 15671, 3522, 269, 2843, 351, 21134, 476, 276, 269, 2843, 352, 13077, 6459, 15800, 2843, 509, 23485, 7846, 13077, 23783, 3264, 270, 2843, 509, 19757, 476, 16417, 9686, 269, 31560, 269, 2843, 509, 269, 29112, 27671, 12811, 13833, 3522, 268, 396, 351, 9326, 4709, 268, 396, 357, 31606, 4736, 7549, 22147, 3378, 282, 2843, 509, 19757, 16068, 16648, 27569, 4138, 9261, 476, 31589, 7549, 13833, 19757, 13150, 8563, 21134, 2843, 509, 269, 2843, 509, 269, 29112, 27671, 12811, 13833, 3522, 268, 396, 351, 9326, 4709, 268, 396, 357, 31606, 4736, 7549, 22147, 3378, 15800, 25602, 18547, 9686, 27671, 4138, 18547, 31560, 269, 2843, 502, 269, 2843, 505, 3522, 9261, 31606, 4736, 7549, 22147, 3378, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10915, 17182, 3898, 585, 519, 28299, 9015, 269, 2290, 2262, 1557, 835, 2262, 1557, 5192, 269, 14339, 5839, 4954, 599, 540, 512, 817, 322, 538, 589, 828, 1372, 523, 267, 9786, 6478, 269, 634, 1624, 11939, 609, 4367, 4967, 543, 4612, 633, 1557, 2540, 540, 12391, 513, 3182, 3645, 1686, 540, 620, 3279, 536, 919, 21895, 269, 1230, 7672, 12819, 3594, 827, 10168, 8786, 267, 2696, 938, 10866, 769, 519, 7073, 540, 4906, 267, 649, 2307, 585, 9355, 606, 1557, 2854, 538, 15986, 3898, 938, 30158, 13924, 8325, 269, 1284, 16245, 513, 1974, 540, 3681, 267, 4358, 7444, 267, 29523, 267, 543, 949, 563, 10403, 4647, 2890, 7809, 2262, 269, 8437, 547, 1931, 1557, 589, 16434, 11556, 1557, 5098, 269, 8865, 1353, 2079, 11239, 269, 594, 740, 22363, 519, 17913, 11856, 267, 476, 273, 17346, 269, 6969, 596, 2253, 17511, 267, 596, 1590, 1305, 909, 707, 1957, 547, 13918, 14905, 2511, 269, 3718, 24764, 2985, 6238, 593, 513, 1007, 2985, 543, 568, 22921, 269, 3367, 1548, 1058, 581, 519, 1909, 540, 519, 530, 558, 2125, 538, 513, 8717, 563, 21995, 17090, 4828, 14474, 12726, 20056, 550, 835, 2985, 3732, 540, 1697, 17090, 3898, 634, 6732, 5675, 6997, 693, 286, 1411, 666, 7696, 513, 10145, 2985, 883, 519, 1647, 540, 513, 3561, 563, 13625, 1935, 1085, 2714, 454, 307, 9567, 2381, 4661, 3594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 274, 12146, 4672, 8645, 563, 271, 269, 17186, 476, 272, 19337, 267, 476, 272, 270, 273, 7484, 5144, 543, 476, 272, 270, 273, 7484, 24113, 7423, 543, 19068, 269, 590, 1723, 641, 856, 950, 13792, 543, 2972, 563, 272, 269, 17186, 476, 272, 19337, 267, 476, 272, 270, 273, 7484, 5144, 267, 9932, 543, 476, 272, 270, 273, 7484, 24113, 7423, 543, 19068, 269, 590, 1723, 641, 856, 950, 13792, 543, 2972, 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 ]
[ 0, 295, 26996, 590, 29558, 5357, 16998, 4696, 308, 9569, 281, 4208, 621, 6927, 547, 782, 540, 721, 454, 12441, 596, 917, 454, 268, 589, 1164, 1153, 10927, 786, 7118, 1269, 6110, 267, 1822, 811, 267, 593, 3328, 267, 982, 513, 6749, 719, 454, 268, 29100, 8083, 616, 7466, 607, 2693, 547, 3479, 10963, 543, 2272, 585, 811, 982, 476, 8618, 260, 540, 519, 7890, 2551, 454, 268, 29100, 8083, 616, 7466, 607, 2693, 547, 2661, 538, 6710, 454, 11947, 1153, 22692, 568, 711, 1152, 513, 2565, 24182, 585, 6107, 543, 741, 3885, 267, 621, 568, 513, 27667, 540, 1367, 2883, 9740, 543, 1967, 269, 1280, 938, 2146, 267, 519, 3872, 9740, 540, 938, 6107, 11224, 606, 1271, 2599, 585, 2804, 2208, 543, 6617, 563, 3963, 649, 1416, 454, 763, 1699, 593, 6066, 1164, 1153, 22692, 2557, 538, 31745, 4392, 568, 476, 7761, 2600, 269, 2334, 1797, 602, 10199, 912, 3080, 538, 2185, 1053, 3884, 1406, 4271, 908, 593, 942, 454, 3080, 538, 2185, 1053, 8188, 3152, 12918, 540, 13864, 267, 6710, 543, 7803, 2623, 454, 4517, 1247, 476, 7761, 2600, 568, 1732, 982, 621, 729, 2947, 1296, 3516, 267, 621, 779, 1175, 711, 1434, 2614, 269, 2334, 779, 1946, 2136, 10158, 540, 31745, 4392, 543, 922, 4891, 538, 31745, 4392, 2136, 585, 15272, 723, 13988, 1472, 513, 1455, 3804, 281, 547, 2333, 519, 1164, 1153, 22692, 2557, 547, 476, 3445, 2600, 676, 476, 1708, 271, 2336, 2414, 3914, 713, 3804, 267, 649, 782, 991, 547, 1900, 909, 538, 2081, 1312, 12050, 543, 2241, 563, 12812, 1934, 547, 1451, 827, 31745, 4392, 2136, 585, 15272, 779, 12050, 3527, 547, 948, 6107, 8011, 563, 12812, 1934, 547, 1451, 827, 2241, 1919, 602, 596, 666, 798, 2221, 547, 1489, 6107, 2221, 6185, 1092, 11905, 281, 31745, 4392, 7991, 10495, 5741, 630, 290, 4338, 2567, 476, 1001, 272, 11059, 7797, 593, 4065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 594, 1869, 1835, 16636, 3206, 827, 621, 269, 594, 729, 693, 1250, 2199, 13371, 1433, 4558, 267, 10004, 1154, 609, 519, 8227, 543, 513, 7008, 2834, 338, 827, 938, 5767, 18930, 687, 950, 519, 1888, 5828, 547, 10178, 12279, 269, 3767, 267, 594, 6557, 606, 28048, 5467, 630, 663, 5856, 264, 540, 10178, 325, 545, 267, 855, 594, 917, 621, 779, 1419, 2938, 607, 513, 13395, 1719, 267, 865, 594, 6854, 9602, 1247, 519, 1866, 5941, 741, 4555, 780, 302, 1233, 518, 281, 968, 295, 517, 652, 569, 267, 594, 1175, 1810, 1406, 1205, 519, 9029, 14325, 19894, 1948, 272, 281, 968, 31800, 1695, 267, 621, 779, 2186, 540, 20868, 267, 3884, 1406, 621, 286, 5675, 2984, 827, 3197, 824, 1004, 2813, 9495, 692, 9288, 30916, 514, 4156, 11784, 265, 2567, 3143, 1862, 594, 1810, 1406, 1589, 865, 780, 5445, 4797, 741, 7521, 267, 543, 594, 7948, 1406, 948, 855, 6443, 538, 269, 2991, 782, 267, 594, 1185, 6170, 9118, 3108, 11981, 543, 2870, 891, 2984, 269, 1809, 594, 6785, 1732, 982, 547, 14443, 873, 2047, 267, 865, 594, 31372, 585, 513, 561, 1638, 1354, 16403, 532, 538, 780, 9288, 281, 968, 11039, 267, 6148, 972, 779, 811, 547, 621, 982, 596, 1589, 14325, 4517, 1287, 621, 5949, 1107, 1614, 8424, 540, 4064, 5828, 2509, 803, 267, 7996, 585, 1250, 7778, 269, 3733, 2295, 986, 1027, 607, 594, 3323, 7713, 519, 6988, 540, 10178, 12279, 267, 922, 1909, 538, 5807, 2950, 267, 543, 875, 621, 4847, 5830, 547, 2263, 1915, 6384, 3564, 1018, 729, 3254, 538, 17374, 269, 1677, 1250, 9983, 267, 789, 19557, 32348, 267, 6998, 2055, 543, 4687, 741, 1378, 2833, 780, 19185, 1394, 267, 602, 1554, 18056, 803, 540, 519, 2956, 540, 7555, 909, 585, 1018, 649, 2648, 267, 1256, 952, 621, 4667, 23349, 610, 29144, 269, 4595, 1287, 267, 594, 4076, 1831, 811, 8746, 538, 11589, 1250, 18653, 267, 3056, 547, 4514, 4296, 543, 4241, 7391, 269, 1656, 945, 6487, 1765, 16673, 2041, 1346, 26617, 2043, 723, 1256, 13761, 856, 930, 10178, 12279, 2933, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 2691, 1079, 1004, 723, 513, 6643, 267, 789, 1491, 7140, 6340, 269, 901, 4305, 568, 547, 3313, 2436, 610, 711, 519, 2016, 6898, 616, 11911, 547, 1114, 10529, 538, 519, 1931, 602, 789, 2408, 269, 8074, 602, 713, 4305, 568, 1152, 7255, 609, 14588, 6033, 2242, 543, 711, 609, 4890, 1543, 282, 4061, 267, 596, 666, 8263, 602, 782, 540, 519, 6898, 616, 1500, 676, 1114, 1004, 267, 7488, 540, 741, 1543, 563, 13750, 906, 281, 18358, 5591, 3299, 1412, 296, 1810, 32075, 339, 1589, 865, 3299, 1412, 11039, 267, 6148, 11172, 563, 8133, 267, 519, 2016, 6898, 616, 11911, 547, 1114, 10529, 269, 634, 1101, 10584, 3081, 834, 5591, 2580, 519, 2034, 10584, 3081, 834, 296, 1810, 1405, 1589, 865, 2580, 543, 519, 3791, 10584, 3081, 834, 11039, 267, 6148, 257, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4692, 581, 607, 8282, 547, 281, 3615, 267, 1004, 267, 4025, 267, 2053, 267, 2093, 454, 31415, 515, 14440, 13447, 334, 729, 703, 788, 545, 7055, 31415, 1002, 7260, 729, 703, 788, 545, 7055, 31415, 1002, 1435, 31770, 729, 703, 788, 545, 7055, 262, 14367, 4050, 529, 729, 703, 788, 545, 7055, 262, 4504, 788, 5314, 262, 2433, 519, 1184, 676, 799, 2486, 13289, 689, 519, 27217, 547, 519, 9058, 563, 262, 4504, 788, 1143, 9166, 606, 1620, 540, 519, 7915, 4276, 609, 519, 1582, 543, 1412, 333, 1155, 3299, 519, 3448, 1871, 540, 7214, 4390, 267, 18900, 1480, 5872, 11461, 676, 513, 1062, 540, 2601, 543, 21481, 563, 262, 4504, 788, 7100, 9166, 513, 1062, 540, 7939, 1759, 593, 519, 16431, 540, 703, 788, 1143, 563, 262, 4504, 788, 626, 262, 2433, 288, 4412, 9426, 540, 2271, 788, 1143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 4239, 476, 1789, 476, 1556, 281, 4343, 281, 7367, 476, 1001, 280, 692, 287, 10461, 281, 786, 325, 5090, 18664, 529, 454, 20701, 11133, 25507, 9272, 2891, 7728, 305, 2207, 6167, 715, 6865, 3918, 281, 834, 11723, 604, 1003, 285, 271, 912, 825, 1820, 3488, 1842, 527, 604, 5073, 12828, 912, 825, 1820, 3488, 10864, 520, 604, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 3296, 568, 689, 519, 1433, 834, 288, 6164, 1047, 2201, 30094, 1137, 610, 634, 13159, 19750, 645, 2714, 2401, 2580, 676, 8176, 670, 9007, 590, 592, 345, 269, 4746, 2139, 689, 8835, 281, 589, 6164, 1047, 2201, 30094, 1137, 563, 1607, 568, 519, 19979, 3282, 540, 519, 4829, 540, 519, 782, 4944, 823, 3529, 267, 1336, 538, 6239, 3013, 267, 8832, 3162, 3013, 267, 543, 2390, 519, 4639, 28851, 267, 543, 568, 5833, 689, 519, 2666, 782, 4944, 823, 267, 676, 1253, 3739, 609, 1216, 610, 676, 1797, 540, 9252, 267, 519, 3282, 4947, 936, 2356, 538, 1079, 8454, 910, 513, 14402, 543, 513, 18219, 835, 267, 799, 616, 6404, 267, 519, 6556, 1373, 827, 2185, 829, 1298, 269, 898, 568, 513, 2681, 1652, 610, 12779, 3917, 3641, 3282, 267, 4742, 18632, 543, 23198, 676, 2085, 269, 4706, 1808, 8904, 568, 2016, 607, 476, 272, 269, 271, 4391, 275, 693, 476, 1015, 4113, 595, 269, 630, 2004, 4113, 674, 12175, 769, 6492, 621, 20998, 3282, 540, 804, 7174, 267, 543, 568, 267, 899, 602, 267, 11884, 19729, 538, 4568, 563, 29493, 835, 26412, 540, 519, 3282, 609, 5216, 13728, 540, 4568, 267, 543, 5216, 13728, 540, 1216, 267, 538, 519, 8912, 1259, 267, 543, 6882, 269, 570, 3307, 675, 540, 623, 2939, 334, 269, 910, 5839, 4733, 835, 26412, 540, 533, 2939, 334, 267, 20015, 2213, 267, 538, 2947, 13728, 540, 29809, 4568, 282, 6882, 269, 2107, 2308, 835, 28451, 26412, 540, 533, 2939, 334, 267, 543, 835, 28451, 26412, 540, 24036, 610, 22101, 807, 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 ]
[ 0, 307, 2586, 693, 519, 20893, 6879, 709, 4765, 12113, 787, 8490, 538, 5842, 12770, 538, 5130, 476, 5002, 277, 267, 1175, 3275, 1354, 513, 7372, 13091, 1377, 539, 519, 909, 7146, 268, 5765, 2749, 267, 519, 11495, 3239, 1657, 2501, 689, 634, 5842, 12770, 27391, 531, 18815, 10837, 7353, 4919, 25201, 267, 606, 21287, 602, 2488, 513, 968, 6665, 783, 1686, 540, 519, 2749, 779, 1857, 6283, 1686, 6580, 1394, 547, 519, 2038, 476, 736, 628, 11416, 3034, 8722, 520, 1005, 513, 4015, 540, 4837, 6676, 267, 24277, 543, 21449, 622, 2258, 2510, 267, 519, 2713, 21287, 6645, 968, 1492, 1650, 540, 5842, 12770, 267, 922, 5912, 689, 513, 12701, 540, 5070, 546, 17480, 547, 606, 18368, 28601, 2749, 267, 621, 779, 4473, 689, 519, 6299, 1076, 540, 519, 14042, 13091, 540, 476, 5002, 277, 543, 519, 4105, 1909, 1857, 6283, 5129, 543, 5170, 547, 1404, 538, 26016, 1944, 519, 2749, 1848, 634, 21287, 3568, 5176, 476, 276, 267, 1822, 2592, 267, 782, 28426, 5258, 883, 476, 1691, 10070, 269, 1411, 666, 4283, 519, 21287, 543, 1376, 829, 6748, 1934, 563, 763, 476, 5002, 277, 5842, 12770, 32495, 820, 281, 6969, 543, 2991, 454, 17637, 518, 7136, 24982, 966, 793, 22088, 4860, 529, 1080, 543, 4347, 1742, 3571, 27748, 545, 476, 3192, 273, 1715, 3840, 4975, 4427, 3118, 10934, 454, 309, 17448, 11473, 281, 589, 1715, 3840, 4975, 4427, 3118, 21541, 3004, 12069, 3245, 476, 1691, 628, 853, 269, 547, 476, 5655, 526, 9335, 630, 5002, 276, 994, 32306, 513, 31400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 296, 1031, 713, 7260, 13156, 3391, 585, 519, 5140, 3778, 19305, 781, 1215, 519, 3047, 12984, 17214, 12558, 593, 519, 12213, 652, 23089, 593, 3047, 269, 901, 4976, 10274, 1053, 593, 875, 3744, 1620, 540, 519, 12933, 2919, 267, 543, 1018, 8906, 5280, 3565, 547, 519, 3069, 540, 6676, 23033, 9582, 563, 10743, 786, 2721, 8753, 267, 3313, 875, 519, 3069, 540, 6676, 23033, 9582, 2919, 267, 543, 3605, 519, 3268, 602, 941, 3144, 547, 1174, 519, 12933, 270, 680, 919, 269, 4841, 786, 6445, 538, 519, 10145, 267, 543, 2328, 1930, 25804, 2347, 4845, 4267, 2429, 519, 476, 736, 2243, 3381, 3391, 602, 9311, 625, 519, 5140, 3778, 19305, 11657, 776, 563, 1607, 7260, 3391, 543, 15819, 568, 519, 3501, 7110, 547, 1022, 17934, 570, 624, 9582, 1770, 563, 8923, 849, 1265, 513, 3095, 538, 519, 3723, 518, 540, 519, 7300, 602, 786, 1450, 596, 547, 1118, 513, 5299, 540, 519, 3312, 2703, 538, 707, 1378, 5616, 20000, 547, 12575, 607, 596, 1294, 3514, 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 ]
[ 0, 18444, 284, 274, 269, 1691, 1477, 305, 284, 15615, 9272, 3488, 11767, 519, 8953, 540, 519, 5858, 281, 10807, 3418, 305, 284, 273, 1477, 19327, 284, 18444, 265, 273, 265, 273, 1477, 2745, 2891, 22704, 540, 519, 5858, 568, 281, 10065, 273, 325, 257, 260, 19327, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7712, 519, 21554, 540, 519, 2780, 5736, 267, 649, 5326, 540, 2870, 31567, 10995, 6191, 609, 2282, 25993, 2157, 540, 30483, 269, 1284, 723, 2097, 513, 1279, 1259, 267, 585, 1383, 609, 12213, 9791, 267, 519, 21802, 2780, 602, 10726, 519, 12081, 532, 21802, 1158, 22299, 918, 553, 1706, 990, 538, 476, 1960, 278, 269, 1717, 267, 1256, 519, 14724, 10004, 827, 519, 4365, 568, 1932, 1454, 585, 513, 2780, 269, 3642, 3173, 1631, 3180, 519, 8367, 602, 2048, 25152, 685, 610, 2048, 17641, 685, 5841, 4987, 630, 1492, 2780, 2731, 17358, 1018, 621, 568, 6158, 827, 264, 3340, 602, 519, 2780, 814, 606, 5841, 1560, 269, 2060, 713, 20032, 267, 519, 2780, 7959, 543, 12034, 519, 1158, 538, 519, 1482, 1259, 607, 3425, 798, 563, 24938, 6359, 333, 12598, 572, 281, 834, 1103, 2489, 267, 3642, 3173, 616, 2780, 3744, 609, 2370, 4743, 585, 8773, 8800, 1374, 267, 543, 621, 2982, 538, 741, 8773, 6272, 269, 4475, 267, 594, 1294, 621, 607, 519, 1909, 540, 1250, 1382, 1895, 538, 20996, 7177, 267, 570, 308, 5548, 1111, 267, 547, 1382, 543, 1020, 519, 4703, 585, 31567, 10995, 5904, 269, 901, 6881, 786, 1521, 938, 2164, 593, 519, 11707, 540, 6972, 267, 30230, 4771, 267, 543, 2922, 8773, 25993, 3346, 267, 28285, 538, 1079, 1164, 3491, 12803, 3785, 282, 519, 3084, 1480, 1355, 8773, 13558, 2319, 267, 543, 519, 10097, 2653, 3562, 14025, 15291, 2861, 2123, 8773, 8487, 1240, 269, 876, 579, 584, 13115, 341, 836, 560, 630, 5471, 552, 523, 2156, 617, 16660, 994, 866, 269, 876, 268, 736, 269, 1428, 579, 584, 2274, 4506, 1341, 9181, 773, 454, 736, 269, 1428, 268, 2641, 269, 876, 579, 584, 5450, 552, 523, 1743, 1678, 16660, 23040, 7806, 523, 454, 2641, 269, 876, 579, 584, 661, 785, 324, 454, 16655, 3065, 513, 656, 531, 632, 601, 26937, 619, 281, 476, 1839, 454, 7804, 269, 597, 269, 6742, 6359, 333, 12598, 572, 454, 298, 4353, 296, 22078, 6020, 288, 2520, 321, 537, 342, 267, 2398, 1231, 525, 572, 6588, 19816, 476, 2537, 454, 27845, 600, 679, 3346, 613, 613, 26223, 642, 3233, 1217, 520, 773, 454, 301, 611, 699, 1217, 520, 773, 1979, 329, 6182, 731, 639, 744, 8803, 327, 719, 3842, 593, 1457, 560, 320, 663, 552, 17733, 611, 637, 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 ]
[ 0, 763, 10055, 1464, 17563, 568, 513, 4199, 547, 948, 3549, 3132, 543, 2707, 21113, 1247, 4628, 18245, 519, 1480, 2924, 540, 7087, 24447, 267, 2199, 2950, 267, 543, 4600, 269, 898, 10274, 519, 10661, 540, 2500, 4507, 543, 6388, 1949, 547, 3035, 3761, 11800, 1863, 540, 1480, 2924, 28407, 563, 18800, 519, 17563, 779, 7158, 543, 5583, 593, 713, 1888, 543, 1265, 3593, 2645, 547, 4019, 519, 17563, 563, 763, 17563, 7125, 585, 3549, 547, 3715, 2178, 1480, 2924, 19647, 538, 13076, 609, 3486, 7405, 269, 1452, 1331, 519, 6167, 2871, 4575, 14362, 593, 6355, 543, 5274, 7126, 267, 27284, 1230, 6761, 540, 519, 4139, 23267, 9257, 630, 6579, 302, 1070, 543, 519, 6167, 16672, 593, 519, 7126, 540, 7087, 24447, 269, 11759, 20232, 476, 273, 23403, 1018, 513, 2754, 1058, 1331, 538, 513, 7029, 610, 3609, 547, 2463, 1480, 2924, 267, 609, 513, 1445, 593, 519, 2924, 540, 7087, 24447, 267, 2199, 2950, 267, 543, 4600, 563, 8256, 11962, 609, 513, 1813, 31806, 1935, 267, 519, 17563, 10274, 3549, 547, 2697, 8801, 5222, 547, 1480, 2924, 282, 957, 593, 891, 4681, 676, 2781, 2084, 267, 7303, 267, 610, 19086, 891, 5222, 282, 543, 1683, 585, 610, 28111, 538, 32598, 950, 3617, 269, 11153, 540, 519, 17563, 779, 7358, 1049, 30334, 6054, 2697, 1655, 2853, 585, 891, 2238, 563, 763, 1888, 5758, 593, 1480, 2924, 5532, 1657, 2488, 606, 7650, 540, 519, 17563, 779, 7158, 543, 5583, 593, 4259, 543, 7598, 3853, 547, 2463, 1480, 2924, 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 ]
[ 0, 3849, 3625, 518, 13779, 9571, 2336, 310, 1731, 807, 568, 513, 1863, 3562, 14025, 3135, 602, 2306, 2724, 689, 10229, 269, 1284, 723, 513, 9168, 1995, 585, 13588, 1210, 740, 3625, 619, 454, 310, 1731, 807, 568, 711, 3015, 952, 596, 4076, 1500, 2417, 12381, 269, 17179, 519, 2688, 740, 3625, 518, 4341, 4433, 264, 543, 519, 2985, 786, 4452, 607, 4397, 563, 16729, 519, 3355, 8168, 12289, 540, 12996, 267, 519, 27469, 1185, 1100, 3903, 855, 547, 17551, 2112, 593, 519, 28268, 593, 5181, 476, 2190, 628, 267, 476, 4350, 280, 563, 16729, 713, 3377, 267, 519, 4436, 674, 6686, 327, 17243, 4956, 547, 7227, 621, 856, 2394, 621, 729, 2386, 945, 729, 11543, 519, 5580, 1688, 267, 855, 950, 519, 28268, 13026, 782, 540, 12996, 543, 18084, 883, 4436, 8513, 593, 5239, 476, 3066, 628, 267, 13609, 729, 2451, 609, 1100, 3903, 855, 547, 17551, 2112, 593, 519, 8168, 5742, 543, 1129, 513, 1875, 268, 12000, 1833, 533, 716, 609, 6628, 543, 5333, 267, 799, 1131, 1450, 519, 27469, 543, 5125, 547, 4308, 609, 519, 7737, 328, 1115, 1510, 519, 3463, 540, 513, 20466, 8566, 9007, 4655, 563, 4002, 5437, 476, 1724, 628, 13609, 10288, 519, 13198, 1111, 342, 25377, 547, 10131, 606, 782, 856, 4323, 1996, 519, 8168, 5989, 543, 3515, 267, 21006, 1896, 3761, 3515, 543, 6028, 18293, 538, 6299, 1076, 1354, 519, 7737, 328, 1115, 6707, 5397, 873, 2476, 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 ]
[ 0, 258, 585, 1775, 538, 2039, 263, 272, 267, 1015, 2187, 258, 672, 952, 630, 328, 2525, 276, 2187, 258, 1363, 2736, 454, 258, 672, 1820, 9217, 264, 258, 272, 1729, 476, 275, 7531, 16482, 258, 585, 795, 538, 2039, 263, 272, 267, 1015, 2187, 258, 672, 952, 795, 4939, 273, 2525, 271, 912, 258, 1363, 3136, 454, 258, 672, 1820, 27203, 994, 16482, 258, 1820, 2891, 19055, 568, 1934, 257, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 594, 4312, 2141, 1044, 19832, 676, 23492, 2528, 543, 519, 6909, 2984, 3297, 891, 14262, 3549, 269, 589, 1906, 1296, 1394, 267, 594, 729, 8732, 1302, 19855, 998, 1585, 15473, 950, 594, 16686, 2390, 513, 8142, 827, 3811, 30596, 8547, 676, 12370, 620, 30282, 269, 2986, 1576, 267, 519, 8912, 31268, 941, 972, 1107, 9365, 267, 29100, 7901, 267, 681, 550, 519, 14840, 3118, 267, 3092, 1421, 855, 835, 2012, 9575, 1250, 3750, 1107, 30546, 2657, 269, 8528, 2026, 606, 6142, 3318, 267, 594, 7948, 1405, 948, 855, 2007, 4514, 883, 741, 5692, 547, 22499, 3782, 998, 2029, 269, 3213, 4532, 1211, 958, 267, 1472, 519, 1482, 942, 267, 594, 1558, 21013, 267, 945, 5249, 693, 513, 15180, 1072, 10509, 6109, 269, 1284, 3533, 27433, 936, 938, 3838, 6612, 585, 26688, 5647, 538, 3782, 267, 27300, 2093, 543, 4030, 1282, 12899, 9397, 610, 1310, 960, 269, 16828, 267, 649, 1256, 3323, 23730, 593, 1761, 3435, 1927, 780, 3080, 1554, 267, 1247, 7234, 30546, 2657, 781, 5499, 1935, 267, 21013, 10393, 6743, 13943, 269, 1261, 11688, 18469, 1354, 21334, 532, 1945, 5963, 26648, 282, 646, 729, 2965, 26056, 918, 4785, 295, 301, 2207, 267, 1071, 1922, 10133, 540, 30546, 2657, 256, 3733, 10265, 12628, 607, 594, 6836, 547, 1184, 713, 13414, 269, 2353, 2059, 267, 594, 1185, 1100, 2856, 602, 519, 1268, 594, 2808, 513, 3659, 543, 9263, 729, 851, 540, 971, 606, 9565, 2754, 2439, 297, 9655, 6045, 875, 646, 4941, 547, 1995, 1272, 1510, 1010, 28910, 4567, 3478, 538, 519, 1259, 269, 898, 4847, 1864, 547, 1106, 9758, 4296, 543, 1451, 689, 1866, 538, 519, 2872, 269, 3776, 7391, 5280, 3337, 930, 7580, 3664, 1369, 30546, 2657, 267, 799, 4422, 547, 1397, 1175, 875, 3407, 29065, 4205, 666, 581, 780, 1607, 4960, 7237, 711, 1152, 2620, 2989, 1250, 2463, 585, 519, 812, 543, 1010, 10781, 855, 849, 12006, 519, 2956, 540, 21548, 543, 6568, 538, 20835, 269, 6736, 3056, 513, 5479, 1673, 20683, 13055, 267, 21013, 8359, 547, 4497, 538, 6209, 19929, 609, 2576, 899, 803, 267, 1565, 543, 3395, 1927, 269, 4595, 1287, 267, 8164, 594, 1224, 11121, 2984, 827, 3811, 30596, 267, 594, 993, 18056, 540, 21013, 781, 1524, 3562, 268, 24160, 7209, 543, 5660, 519, 1379, 540, 1480, 4276, 1256, 811, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 930, 540, 519, 1034, 3811, 30596, 8547, 676, 12370, 620, 30282, 888, 272, 269, 9365, 910, 5853, 539, 676, 4460, 2098, 27462, 6199, 267, 661, 706, 16037, 590, 11232, 514, 267, 12448, 15966, 3326, 636, 267, 18281, 24806, 267, 543, 28545, 514, 17018, 28325, 6308, 692, 273, 269, 29100, 7901, 910, 5853, 539, 676, 667, 4319, 20279, 543, 1488, 1662, 12113, 323, 3298, 328, 692, 274, 269, 681, 550, 519, 14840, 3118, 910, 5853, 539, 676, 26391, 5754, 2006, 543, 26391, 18307, 1170, 692, 275, 269, 4147, 27879, 910, 5853, 539, 676, 9796, 531, 918, 611, 25474, 692, 276, 269, 670, 1575, 340, 910, 5853, 539, 676, 4258, 978, 9149, 267, 2274, 328, 2098, 29697, 267, 543, 29883, 20568, 692, 277, 269, 30546, 2657, 910, 5853, 539, 676, 26056, 918, 2313, 1676, 267, 631, 9222, 5576, 29754, 518, 267, 543, 24910, 9294, 655, 328, 692, 278, 269, 2782, 2421, 26436, 910, 5853, 539, 676, 29484, 18671, 618, 15595, 267, 6424, 16500, 2692, 320, 267, 12448, 15391, 267, 543, 11518, 9445, 14780, 3187, 692, 279, 269, 25065, 1241, 2657, 910, 5853, 539, 676, 2098, 778, 776, 1284, 514, 6199, 267, 14844, 25306, 267, 543, 20574, 654, 269, 29581, 1157, 692, 280, 269, 1773, 4660, 910, 5853, 539, 676, 5261, 670, 15736, 543, 2098, 778, 3131, 4958, 692, 1015, 269, 28120, 3125, 910, 5853, 539, 676, 645, 2967, 9857, 645, 1002, 339, 543, 32157, 570, 2940, 341, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 767, 665, 573, 1228, 815, 10581, 9272, 2891, 14707, 924, 513, 27922, 573, 1228, 900, 6446, 4938, 17845, 1609, 5451, 281, 834, 11723, 604, 27922, 573, 1228, 3436, 476, 3199, 912, 825, 5998, 659, 9874, 815, 10581, 263, 767, 665, 573, 1228, 268, 3199, 994, 825, 1820, 6600, 257, 303, 528, 1609, 541, 1035, 9874, 13005, 27922, 573, 1228, 11863, 5866, 632, 476, 3199, 298, 332, 21350, 576, 9087, 328, 1617, 5964, 900, 681, 259, 18950, 14790, 659, 9874, 265, 278, 269, 271, 2567, 269, 273, 325, 348, 19515, 825, 1820, 2891, 306, 754, 334, 681, 259, 278, 269, 876, 513, 524, 3385, 5998, 1035, 9874, 798, 1929, 924, 23528, 12828, 912, 825, 1820, 2891, 13640, 629, 2946, 985, 4938, 17845, 20527, 19804, 16359, 16695, 12013, 541, 552, 562, 14244, 3706, 1905, 817, 537, 476, 3199, 298, 332, 11188, 3520, 320, 256, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 1650, 4580, 1281, 711, 723, 513, 6609, 563, 20756, 972, 594, 6415, 519, 12539, 631, 1961, 9908, 454, 15916, 594, 6415, 24898, 543, 594, 6415, 2469, 547, 547, 1397, 596, 875, 713, 3327, 11140, 4682, 9488, 519, 3327, 4783, 1547, 898, 3323, 1055, 1934, 538, 519, 5790, 454, 4407, 1818, 621, 781, 1259, 998, 519, 5790, 621, 1500, 922, 1259, 1934, 547, 2627, 5836, 1141, 621, 786, 1847, 1472, 538, 1216, 14768, 269, 4826, 14768, 616, 851, 540, 519, 2168, 1184, 540, 519, 3327, 4783, 563, 763, 824, 851, 540, 519, 2168, 1184, 540, 519, 3327, 4783, 568, 23928, 547, 519, 5836, 19683, 610, 2666, 563, 7617, 568, 1175, 1018, 594, 1705, 256, 3767, 594, 6415, 3001, 1472, 1524, 1934, 563, 20055, 594, 4312, 1044, 13881, 9800, 563, 3086, 606, 11248, 814, 3144, 519, 3327, 11140, 909, 607, 1426, 563, 296, 3513, 2760, 1205, 856, 1631, 454, 3086, 519, 3327, 11140, 814, 1044, 6740, 538, 519, 3170, 540, 713, 12748, 13442, 563, 5445, 12748, 13442, 814, 5747, 543, 814, 3323, 519, 1184, 540, 454, 18439, 3776, 15080, 543, 6201, 454, 2521, 3776, 4033, 15750, 2572, 2336, 21900, 657, 585, 4147, 454, 1700, 9612, 585, 3427, 4149, 12522, 267, 11300, 12780, 16071, 630, 2005, 4634, 595, 2572, 585, 1411, 2336, 1700, 31418, 1176, 5269, 543, 9523, 4279, 6441, 8504, 11676, 7879, 454, 1700, 8073, 11426, 12502, 2044, 3203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20031, 1047, 281, 594, 5063, 4607, 513, 12357, 10189, 693, 1250, 7450, 21163, 780, 29797, 582, 4185, 281, 634, 10189, 3568, 1945, 594, 10288, 2228, 780, 10000, 11845, 281, 634, 2132, 2232, 593, 519, 10189, 3274, 14509, 834, 763, 15506, 322, 1511, 3010, 2026, 513, 15400, 13371, 1433, 10178, 543, 28048, 21689, 267, 594, 7948, 1405, 948, 855, 1577, 856, 513, 669, 22976, 950, 594, 4718, 519, 2132, 2232, 593, 519, 15116, 10189, 269, 3733, 3355, 8367, 729, 3533, 8719, 609, 26675, 543, 10761, 269, 16393, 621, 581, 930, 4686, 8357, 8494, 807, 610, 5310, 1256, 513, 3908, 7160, 8642, 3209, 286, 594, 23362, 8118, 519, 4216, 267, 1152, 547, 1265, 1862, 320, 10627, 2777, 256, 8786, 267, 513, 1507, 11308, 2497, 2966, 585, 16835, 547, 887, 739, 538, 269, 2372, 924, 519, 1884, 545, 3916, 1314, 267, 594, 1590, 16153, 269, 1809, 1141, 1705, 621, 2097, 689, 267, 543, 1946, 729, 621, 2366, 547, 803, 2496, 26796, 2417, 7634, 267, 594, 4362, 602, 513, 2199, 7320, 15063, 3919, 1185, 1044, 4758, 873, 2476, 547, 3895, 4683, 10627, 5726, 269, 2561, 30068, 267, 789, 1185, 13042, 519, 10833, 609, 1585, 14070, 22071, 607, 513, 1187, 1259, 547, 4497, 519, 1857, 269, 4014, 519, 9115, 4769, 1405, 5447, 609, 1250, 3312, 6788, 267, 594, 1336, 31768, 538, 741, 2189, 1935, 543, 4956, 547, 1305, 909, 519, 10627, 2777, 538, 1250, 4677, 780, 1103, 24794, 1051, 267, 713, 1995, 18056, 803, 540, 875, 938, 10054, 666, 3006, 1291, 721, 4230, 2001, 267, 2523, 950, 23185, 676, 26608, 18727, 18765, 269, 2755, 7996, 585, 519, 10189, 267, 594, 19424, 539, 8885, 796, 7901, 532, 513, 3407, 2445, 1043, 30867, 6364, 6766, 676, 1250, 13395, 1719, 538, 14676, 543, 10655, 269, 1717, 267, 1272, 1419, 26208, 721, 609, 922, 28031, 802, 543, 23538, 269, 1635, 8508, 891, 1033, 2293, 543, 4466, 7772, 538, 519, 3460, 267, 649, 10802, 938, 2729, 543, 4228, 938, 20030, 269, 1656, 945, 6487, 267, 6148, 835, 1554, 594, 786, 7237, 513, 1483, 3734, 15705, 1247, 11287, 519, 16835, 538, 2962, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 304, 281, 769, 713, 4305, 267, 596, 616, 2016, 513, 23350, 267, 513, 8367, 267, 543, 606, 9337, 269, 634, 23350, 4845, 6257, 513, 1483, 8996, 3510, 543, 568, 2141, 10924, 547, 581, 3020, 269, 634, 8367, 4845, 6257, 606, 13429, 610, 23221, 602, 596, 1522, 1118, 827, 602, 3510, 2348, 1224, 519, 23350, 269, 634, 9337, 2488, 3606, 1344, 827, 519, 3510, 602, 1522, 14020, 610, 7794, 519, 8367, 269, 589, 14020, 518, 568, 513, 3948, 602, 4617, 839, 519, 8367, 269, 898, 2306, 596, 1454, 1447, 2693, 547, 3494, 519, 8367, 568, 3020, 269, 589, 7794, 518, 568, 513, 3948, 602, 18791, 519, 8367, 269, 898, 2306, 596, 1454, 811, 2693, 547, 3494, 519, 8367, 568, 3020, 269, 2659, 4305, 568, 547, 3977, 1412, 560, 21880, 6533, 518, 262, 610, 1412, 933, 2586, 518, 262, 952, 519, 9337, 9342, 610, 4617, 839, 519, 8367, 267, 6606, 563, 7093, 332, 1047, 281, 12287, 311, 7024, 547, 12287, 311, 781, 5321, 454, 29797, 582, 4185, 281, 12287, 311, 1287, 1491, 29295, 618, 454, 10000, 11845, 281, 12287, 311, 22755, 1753, 689, 513, 1279, 6521, 693, 960, 563, 288, 912, 8512, 1948, 272, 281, 4197, 519, 23350, 454, 5825, 720, 281, 834, 31094, 311, 7024, 547, 12287, 311, 781, 5321, 257, 910, 901, 3948, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5976, 1930, 3488, 12803, 318, 1721, 20189, 342, 318, 273, 17902, 3299, 1412, 337, 10807, 607, 535, 318, 28128, 912, 825, 1297, 815, 476, 271, 454, 825, 585, 1297, 267, 6221, 538, 26246, 6600, 318, 28128, 267, 476, 272, 2187, 1038, 2262, 815, 6221, 21858, 3488, 30386, 1038, 1820, 6600, 262, 1103, 1899, 2715, 15893, 348, 2715, 6352, 27182, 14587, 2262, 5073, 825, 1820, 6600, 31415, 4973, 3515, 2715, 15893, 348, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28982, 2073, 8695, 543, 6690, 8206, 594, 6415, 17555, 5682, 1547, 6733, 8206, 901, 568, 1250, 23103, 1547, 634, 3774, 568, 3043, 1547, 1656, 713, 568, 1250, 5127, 1547, 645, 7232, 5937, 2073, 5127, 1547, 898, 781, 3039, 1547, 1548, 781, 713, 593, 519, 5127, 7790, 898, 568, 513, 844, 2830, 1547, 898, 781, 513, 5835, 844, 2830, 1547, 1656, 602, 781, 513, 29075, 1547, 898, 781, 3039, 2073, 1932, 1547, 1548, 616, 1346, 593, 519, 865, 17304, 7790, 1358, 616, 1250, 2835, 1547, 7937, 2073, 1018, 781, 713, 593, 519, 3774, 7790, 898, 781, 513, 4786, 540, 3624, 1547, 1548, 2681, 568, 621, 7790, 898, 568, 3039, 1547, 7937, 2073, 1100, 1547, 898, 781, 5835, 1547, 3143, 2073, 621, 781, 4544, 2073, 5835, 543, 6960, 1547, 594, 899, 1250, 23103, 1360, 1454, 1547, 634, 4786, 568, 567, 9041, 567, 4586, 271, 269, 3039, 454, 272, 269, 5835, 454, 273, 269, 5835, 543, 3039, 454, 274, 269, 4544, 2073, 5835, 543, 6960, 454, 12585, 281, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 26566, 767, 514, 12235, 281, 589, 5256, 19002, 22316, 5128, 547, 2196, 269, 1261, 8255, 609, 513, 795, 320, 767, 514, 936, 1010, 13105, 269, 1261, 454, 271, 269, 1287, 9292, 3149, 621, 936, 782, 540, 1010, 1560, 267, 543, 3338, 593, 519, 13105, 540, 513, 1268, 7555, 538, 519, 2361, 3297, 1864, 563, 272, 269, 25001, 621, 607, 2182, 607, 646, 666, 563, 273, 269, 22534, 543, 29598, 519, 795, 320, 767, 514, 563, 274, 269, 1287, 3217, 1279, 267, 2731, 3728, 26058, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17123, 1107, 634, 3483, 540, 713, 1957, 729, 547, 4983, 11121, 1866, 607, 513, 5626, 4020, 538, 5718, 8658, 676, 14236, 5030, 543, 2123, 2833, 540, 11121, 3401, 269, 5071, 8276, 1385, 1108, 270, 1952, 25209, 1107, 589, 5039, 1670, 1374, 729, 1031, 547, 8495, 3401, 262, 2123, 543, 5030, 2833, 540, 3056, 547, 8300, 1866, 269, 769, 13001, 323, 3704, 11042, 941, 5342, 609, 5722, 5171, 9930, 3990, 676, 1866, 607, 11121, 3401, 1759, 593, 519, 17431, 540, 2947, 4162, 630, 9679, 267, 22371, 267, 11413, 267, 6612, 267, 543, 1373, 10169, 23349, 1040, 28454, 1107, 12160, 656, 6114, 1071, 2297, 1027, 883, 2947, 1883, 7516, 540, 3056, 547, 8300, 1866, 281, 8220, 267, 3056, 267, 8300, 324, 267, 2962, 267, 543, 2796, 282, 7175, 513, 6198, 6609, 540, 519, 7613, 269, 5015, 267, 2164, 8612, 602, 3401, 1223, 17543, 11349, 3255, 547, 8300, 1866, 998, 5872, 543, 4674, 269, 3194, 7687, 270, 574, 4124, 1107, 9717, 602, 519, 1957, 27180, 3401, 262, 2833, 540, 519, 7613, 267, 2417, 7634, 883, 519, 22228, 543, 23483, 3344, 540, 11121, 1866, 568, 2838, 269, 3194, 814, 5097, 5059, 593, 5171, 538, 519, 11121, 2078, 10446, 540, 1142, 824, 630, 328, 4318, 269, 2901, 519, 8300, 324, 610, 519, 6205, 1040, 19750, 6286, 1107, 2552, 9009, 547, 7682, 687, 538, 930, 2981, 1049, 5718, 2090, 602, 2123, 1347, 1143, 320, 568, 519, 3119, 5057, 547, 11121, 1866, 267, 891, 4681, 5815, 602, 11121, 1866, 3340, 606, 3742, 1184, 1141, 3401, 3715, 14375, 4296, 543, 5512, 2962, 269, 18882, 1275, 270, 7407, 1107, 3194, 593, 6667, 568, 693, 513, 24233, 3942, 269, 901, 1957, 4564, 606, 3355, 585, 599, 883, 519, 2230, 1141, 14046, 1702, 593, 5718, 3069, 543, 6667, 12969, 547, 1683, 3152, 5813, 883, 3056, 547, 8300, 1866, 563, 22117, 11429, 1299, 9257, 4886, 4750, 1107, 9622, 12245, 14539, 454, 13775, 281, 9484, 476, 2764, 267, 476, 1001, 272, 454, 21292, 281, 6184, 17508, 282, 6184, 25378, 1866, 282, 4045, 532, 282, 15765, 1184, 282, 15557, 282, 24285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4557, 3268, 3238, 538, 1603, 513, 1382, 1957, 281, 5153, 476, 272, 281, 8564, 513, 1641, 991, 547, 1224, 4282, 4930, 827, 707, 1641, 538, 679, 9871, 2664, 553, 543, 824, 2489, 8100, 269, 1684, 711, 1491, 1548, 616, 519, 2101, 2152, 286, 1548, 616, 1250, 563, 18439, 1603, 267, 2489, 2090, 543, 2436, 621, 781, 519, 1318, 2101, 585, 596, 269, 6258, 875, 547, 1265, 3506, 543, 9945, 609, 2178, 3292, 585, 713, 2101, 563, 4322, 744, 310, 299, 2200, 786, 948, 596, 609, 519, 1603, 1184, 281, 840, 268, 1603, 630, 514, 3685, 264, 2200, 786, 948, 596, 609, 519, 2010, 540, 1603, 596, 949, 7237, 1247, 538, 2852, 269, 971, 607, 23064, 12190, 13132, 267, 1433, 5359, 267, 543, 1382, 4574, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 594, 729, 3206, 649, 1223, 2911, 2221, 827, 1373, 2186, 547, 1004, 689, 1114, 4529, 269, 1548, 798, 596, 1589, 2496, 7692, 281, 2334, 4992, 1390, 267, 7705, 256, 594, 917, 930, 3214, 693, 1153, 2097, 689, 1114, 10080, 543, 3717, 1114, 4654, 269, 898, 781, 1271, 547, 1118, 873, 1745, 10950, 780, 8334, 281, 25999, 256, 1656, 3006, 621, 666, 581, 14845, 950, 649, 1810, 1405, 1174, 741, 9821, 610, 5389, 269, 1809, 952, 649, 946, 938, 1455, 2631, 267, 649, 666, 4137, 1919, 856, 780, 7692, 281, 2052, 596, 2285, 803, 606, 1383, 2496, 8334, 281, 17610, 256, 2913, 781, 2161, 707, 3659, 689, 1776, 2197, 3085, 1405, 3548, 20230, 1317, 540, 741, 4984, 269, 4634, 1498, 596, 2648, 28019, 267, 596, 9327, 1405, 2709, 621, 547, 873, 267, 1318, 286, 1411, 1131, 946, 707, 1455, 2631, 547, 3442, 1945, 3116, 789, 666, 2972, 3079, 780, 7692, 281, 7937, 9493, 1695, 267, 594, 1205, 621, 256, 1924, 1210, 1250, 1455, 2631, 2337, 803, 1521, 1866, 519, 1259, 594, 1616, 547, 581, 5701, 1932, 780, 8334, 281, 22549, 256, 3767, 267, 4952, 596, 2743, 2576, 1007, 693, 1153, 945, 5654, 1114, 982, 596, 269, 5502, 540, 24937, 873, 610, 1373, 12922, 267, 596, 1223, 1935, 873, 543, 6338, 3054, 780, 7692, 281, 23010, 267, 855, 1018, 952, 594, 18417, 2161, 1945, 4636, 1317, 594, 1810, 1405, 917, 1454, 827, 741, 2528, 2496, 8334, 281, 7442, 860, 1125, 543, 1451, 689, 707, 12161, 256, 4658, 5660, 19969, 543, 4674, 269, 9578, 267, 6998, 2055, 2982, 602, 596, 2811, 5461, 538, 1565, 811, 827, 873, 269, 3807, 3314, 547, 2141, 581, 16614, 543, 2015, 622, 780, 7692, 281, 20944, 621, 256, 9861, 8049, 543, 7874, 786, 948, 803, 1921, 609, 1004, 689, 824, 4529, 780, 8334, 281, 8786, 256, 1656, 607, 596, 1332, 909, 267, 596, 3513, 1265, 602, 2348, 2828, 689, 3309, 10080, 27862, 707, 1272, 543, 3376, 839, 707, 5133, 780, 7692, 281, 901, 729, 2731, 5363, 267, 7705, 256, 594, 1745, 899, 594, 723, 513, 1732, 9787, 593, 875, 547, 2170, 609, 1004, 689, 1114, 4529, 1631, 780, 8334, 281, 2725, 1932, 267, 7585, 256, 1635, 8026, 11587, 267, 6568, 267, 543, 1455, 2631, 267, 649, 666, 1711, 513, 22205, 1604, 585, 3025, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18528, 5166, 540, 891, 1378, 2338, 723, 543, 616, 1142, 16340, 538, 519, 11714, 31502, 10780, 13077, 8563, 28027, 16068, 476, 31589, 4736, 4736, 24012, 17153, 18194, 27593, 21660, 4814, 19757, 3522, 476, 1220, 280, 540, 27782, 16330, 2907, 19866, 267, 1482, 12215, 269, 11042, 1472, 721, 1267, 547, 1020, 4930, 269, 1284, 1413, 547, 581, 521, 267, 9232, 4025, 715, 553, 9874, 681, 9926, 1731, 13960, 267, 945, 6585, 1200, 11714, 31502, 267, 30561, 590, 2216, 267, 538, 1325, 3901, 344, 609, 5929, 715, 2378, 13453, 681, 9926, 1731, 13960, 269, 1543, 10958, 282, 556, 13830, 609, 267, 4495, 519, 1569, 1569, 1688, 267, 814, 513, 6896, 2046, 1818, 1010, 1101, 7460, 19968, 269, 11714, 31502, 282, 3226, 971, 827, 1018, 646, 814, 269, 715, 553, 9874, 681, 9926, 1731, 13960, 307, 15665, 19866, 27782, 3095, 585, 513, 4816, 267, 5907, 9868, 1797, 896, 516, 19959, 1055, 585, 519, 681, 9926, 1731, 13960, 1568, 563, 1704, 11977, 17659, 12064, 267, 16520, 26929, 281, 634, 31919, 11714, 31502, 10780, 13077, 8563, 28027, 16068, 267, 263, 12634, 5623, 282, 5147, 476, 1960, 277, 267, 5292, 269, 476, 1240, 24981, 1546, 22844, 267, 15952, 532, 281, 4687, 519, 4589, 1325, 633, 543, 4270, 267, 23255, 28315, 267, 5239, 476, 273, 267, 476, 1220, 277, 269, 570, 2096, 333, 267, 3163, 11470, 282, 589, 11334, 6651, 543, 12754, 3883, 267, 263, 8585, 1356, 6816, 267, 6115, 267, 853, 1301, 2632, 5600, 5442, 290, 267, 476, 2735, 279, 264, 7127, 269, 1715, 3840, 267, 3487, 1156, 517, 7734, 267, 476, 1960, 280, 264, 476, 276, 269, 476, 2420, 6276, 717, 18365, 267, 634, 10003, 547, 3163, 11470, 281, 3245, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12041, 281, 9404, 677, 531, 561, 340, 334, 454, 258, 28605, 322, 5317, 281, 583, 325, 268, 279, 20609, 7042, 3698, 2612, 273, 3287, 2567, 258, 418, 488, 488, 22047, 16583, 30936, 25051, 497, 417, 479, 504, 9463, 355, 22047, 16583, 30936, 7511, 9463, 480, 12255, 454, 825, 952, 1535, 283, 271, 912, 1038, 1535, 815, 910, 343, 454, 825, 2132, 1535, 692, 3698, 2040, 273, 3287, 11971, 267, 325, 2187, 825, 2132, 535, 3287, 11924, 325, 12169, 2020, 320, 815, 2040, 273, 263, 272, 16427, 273, 267, 11274, 273, 994, 2745, 5416, 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 ]
[ 0, 16524, 21492, 12384, 256, 676, 586, 326, 5400, 280, 6812, 277, 17397, 593, 5181, 476, 274, 267, 476, 1001, 271, 5384, 12384, 476, 5002, 275, 281, 7043, 21492, 12384, 3587, 8648, 12384, 267, 4742, 606, 11599, 1158, 19506, 543, 519, 1034, 6444, 3090, 540, 1715, 3840, 4975, 269, 476, 5002, 275, 849, 6825, 519, 1101, 11812, 540, 1715, 1032, 781, 552, 557, 538, 8648, 12384, 269, 6168, 586, 326, 5400, 280, 6812, 277, 476, 2004, 279, 15686, 28512, 3393, 273, 6924, 275, 271, 7348, 782, 9708, 676, 586, 326, 5400, 280, 6812, 277, 9890, 901, 7127, 729, 11540, 538, 5181, 476, 278, 12143, 267, 7641, 2190, 543, 28562, 476, 5002, 275, 267, 1715, 13012, 552, 557, 267, 1715, 3840, 8648, 267, 8648, 12384, 269, 3883, 5658, 519, 829, 20921, 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 ]
[ 0, 769, 513, 14297, 4884, 540, 8891, 686, 667, 880, 6807, 267, 1079, 1655, 2828, 267, 25756, 16452, 543, 27488, 9986, 14746, 5030, 1927, 269, 1358, 941, 1312, 1360, 8049, 2370, 8444, 945, 6068, 3695, 519, 1158, 1472, 873, 269, 2290, 1554, 267, 789, 16686, 2066, 513, 1007, 3693, 538, 4884, 910, 21210, 27950, 269, 1261, 1185, 513, 2027, 1379, 602, 1500, 1864, 2150, 13224, 762, 676, 1022, 824, 2609, 2439, 295, 14019, 543, 9986, 14746, 7948, 1405, 948, 855, 1745, 679, 2365, 540, 21210, 27950, 781, 2189, 2702, 269, 1924, 267, 789, 4956, 547, 1404, 513, 929, 1678, 593, 1864, 267, 11544, 1864, 883, 513, 3114, 5114, 1510, 1010, 1702, 269, 1809, 1919, 4769, 1405, 979, 607, 9709, 282, 950, 519, 7452, 12306, 267, 21210, 27950, 7000, 1018, 5949, 547, 519, 16011, 7027, 780, 3412, 332, 2317, 27950, 5143, 26302, 2311, 558, 3821, 267, 834, 22134, 4088, 16452, 543, 27488, 9986, 14746, 6836, 547, 4125, 803, 538, 513, 19408, 4603, 1510, 1250, 9844, 10590, 28214, 20729, 539, 267, 519, 14643, 2847, 12097, 741, 22864, 543, 30992, 873, 1142, 547, 5722, 9979, 538, 519, 1772, 15684, 25679, 780, 2026, 789, 6039, 741, 942, 267, 16452, 543, 9986, 14746, 10630, 593, 741, 12161, 269, 1358, 7691, 875, 1271, 3972, 729, 1063, 782, 2609, 543, 8815, 2760, 1586, 547, 20729, 4896, 3116, 899, 789, 1705, 547, 21210, 27950, 269, 3414, 713, 1995, 267, 789, 4121, 3407, 4245, 827, 19969, 267, 8699, 267, 543, 519, 4539, 540, 13587, 527, 995, 2623, 780, 7661, 267, 1310, 7674, 741, 5220, 267, 938, 12325, 7153, 1208, 321, 2401, 982, 1354, 269, 9282, 789, 4503, 741, 5191, 17303, 267, 789, 6591, 7326, 543, 8296, 602, 1131, 3251, 609, 873, 11014, 269, 898, 5828, 856, 547, 581, 3833, 519, 6397, 2943, 6209, 3460, 585, 25756, 16452, 543, 27488, 9986, 14746, 1107, 2141, 19551, 547, 2463, 1866, 262, 6302, 543, 960, 29050, 2509, 10103, 538, 8891, 686, 667, 880, 6807, 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, 7468, 27222, 9383, 544, 384, 505, 1990, 320, 708, 684, 15856, 513, 795, 5451, 642, 344, 325, 553, 15772, 476, 278, 1577, 642, 22272, 5451, 31343, 780, 27745, 596, 5225, 14377, 713, 547, 2296, 888, 763, 2016, 4845, 568, 538, 16231, 543, 621, 18922, 547, 281, 834, 3891, 2879, 17097, 593, 803, 547, 519, 12046, 543, 594, 3893, 476, 278, 1296, 538, 519, 1793, 600, 1067, 3010, 1103, 713, 2796, 267, 519, 10584, 568, 13288, 547, 2576, 945, 5483, 519, 8128, 630, 338, 333, 17097, 264, 827, 741, 3527, 267, 799, 3366, 547, 873, 8391, 513, 476, 278, 4458, 7890, 4845, 630, 514, 519, 1793, 600, 1067, 1040, 634, 2165, 834, 574, 684, 15856, 257, 18011, 9404, 29774, 262, 538, 2296, 264, 4016, 547, 513, 3656, 4027, 11292, 676, 8128, 547, 2057, 7803, 31989, 538, 2132, 585, 1344, 610, 9316, 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 ]
[ 0, 9223, 281, 29303, 519, 2915, 281, 1547, 589, 513, 3043, 2915, 1510, 519, 946, 540, 922, 12042, 7953, 454, 271, 269, 568, 9849, 513, 14950, 4765, 22514, 538, 513, 2196, 1524, 4055, 267, 543, 17259, 593, 513, 6960, 31289, 547, 1404, 609, 1945, 563, 272, 269, 568, 3544, 609, 922, 8227, 593, 519, 11188, 577, 563, 273, 269, 568, 7555, 593, 513, 3349, 4189, 689, 513, 8670, 563, 274, 269, 15211, 883, 513, 1804, 28561, 1247, 513, 4807, 538, 513, 3043, 3284, 1258, 2337, 513, 1126, 19081, 519, 2915, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3828, 514, 5530, 540, 7756, 2747, 540, 15465, 2806, 1988, 538, 19974, 454, 763, 15285, 8367, 538, 5042, 1646, 2829, 602, 5042, 5759, 1831, 24482, 811, 4830, 607, 1453, 1332, 4587, 269, 5525, 540, 4307, 28437, 1646, 538, 1453, 723, 3622, 8959, 547, 3132, 20310, 1489, 585, 713, 8367, 269, 634, 2832, 540, 519, 1459, 1353, 568, 547, 8495, 519, 3390, 540, 15285, 693, 519, 4719, 543, 2825, 1377, 269, 14520, 2618, 6248, 3800, 12570, 11913, 543, 26068, 5042, 5759, 941, 13950, 547, 476, 20385, 10656, 18618, 8424, 693, 6502, 476, 276, 267, 476, 278, 267, 543, 476, 1015, 1296, 269, 7043, 15994, 2164, 3177, 2370, 2963, 585, 519, 15285, 8367, 269, 853, 1464, 538, 5705, 652, 2773, 568, 1813, 5631, 547, 4719, 7506, 269, 634, 3838, 1604, 9295, 547, 4307, 28437, 6617, 568, 1507, 269, 634, 2189, 1604, 8309, 547, 2085, 10391, 13065, 1152, 563, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 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 ]
[ 0, 9741, 1234, 15383, 519, 21300, 6068, 8384, 11176, 609, 1010, 1920, 269, 3571, 5172, 2319, 941, 519, 681, 2644, 9469, 267, 1634, 585, 741, 18979, 2699, 2681, 543, 22800, 887, 541, 256, 1809, 25015, 267, 1945, 9490, 814, 1044, 8345, 910, 1169, 942, 789, 1404, 1996, 519, 13082, 323, 16394, 267, 789, 3100, 547, 6336, 269, 769, 1249, 267, 621, 1185, 1044, 2947, 2053, 538, 513, 4737, 2439, 3080, 13566, 12784, 1247, 4730, 3544, 267, 1234, 15383, 1558, 570, 4459, 344, 519, 28886, 518, 520, 3591, 945, 4280, 1864, 1946, 646, 6743, 865, 1350, 636, 269, 1234, 15383, 521, 19042, 543, 5143, 570, 4459, 344, 875, 21616, 646, 5433, 827, 519, 681, 2644, 9469, 2760, 10888, 1996, 519, 13082, 323, 16394, 269, 30985, 267, 570, 4459, 344, 4941, 547, 917, 811, 827, 891, 13292, 267, 2523, 1317, 1142, 14316, 6719, 1114, 2010, 540, 1648, 7503, 780, 257, 2791, 1294, 2437, 6045, 1234, 15383, 267, 834, 7628, 513, 11176, 3014, 267, 1312, 6887, 6460, 1761, 1648, 883, 15452, 1648, 950, 789, 2196, 610, 12235, 519, 3440, 269, 1717, 267, 1100, 2339, 1018, 649, 798, 267, 938, 681, 2644, 9469, 666, 1405, 3100, 547, 3094, 15323, 307, 4459, 344, 6700, 602, 6148, 972, 729, 1776, 1106, 540, 1648, 7133, 519, 6364, 269, 2701, 3838, 1200, 1702, 827, 8143, 1648, 799, 3123, 7269, 543, 19432, 1107, 5310, 2242, 538, 2837, 4299, 519, 5716, 262, 2773, 286, 2107, 1256, 13590, 4229, 12018, 2792, 1063, 5716, 2439, 9617, 1287, 267, 789, 8068, 4158, 12269, 11018, 1657, 873, 269, 22582, 267, 17500, 13351, 7404, 4929, 513, 1379, 856, 720, 256, 2353, 4682, 9602, 4849, 585, 519, 3280, 540, 678, 22824, 19711, 16079, 532, 538, 519, 3845, 269, 1879, 5201, 8120, 1310, 930, 3764, 267, 789, 31113, 32357, 3330, 547, 3136, 741, 4901, 267, 1152, 547, 1265, 856, 602, 789, 14406, 519, 2462, 6474, 256, 1677, 741, 10982, 599, 267, 519, 6060, 4580, 4951, 1776, 11802, 585, 519, 13082, 323, 16394, 780, 15987, 25922, 267, 1234, 15383, 7691, 602, 1620, 1585, 3029, 540, 1648, 5280, 1864, 5660, 519, 10848, 3238, 1282, 513, 3014, 269, 6884, 267, 5103, 1655, 3646, 267, 4093, 5749, 1405, 2141, 4175, 762, 1813, 547, 27644, 6381, 269, 901, 6397, 6335, 6026, 873, 1312, 3407, 4245, 827, 5026, 26206, 267, 6043, 267, 543, 519, 10578, 1158, 540, 2257, 6456, 1369, 4948, 2238, 971, 607, 4730, 11176, 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, 10527, 681, 2644, 9469, 9411, 713, 10432, 476, 272, 6474, 1575, 1996, 519, 13082, 619, 2348, 4503, 2947, 15654, 3756, 1996, 29016, 6580, 1394, 547, 476, 1960, 272, 269, 1358, 20639, 606, 3328, 540, 476, 279, 269, 273, 2798, 829, 3014, 538, 1346, 2947, 9271, 269, 634, 681, 2644, 9469, 262, 476, 2420, 15304, 14710, 729, 741, 10782, 538, 513, 10432, 476, 272, 3014, 538, 476, 1428, 1296, 269, 898, 729, 849, 741, 10782, 6679, 1554, 1753, 2530, 2094, 476, 3422, 277, 269, 634, 681, 2644, 9469, 8878, 1185, 513, 1360, 2182, 942, 5627, 1546, 17951, 601, 334, 13879, 607, 646, 1011, 10757, 585, 476, 16960, 678, 5241, 18126, 543, 519, 13082, 619, 23292, 8391, 24767, 540, 21293, 9466, 543, 18379, 29124, 945, 1131, 979, 593, 547, 723, 2178, 12644, 780, 1692, 1082, 2053, 723, 519, 681, 2644, 9469, 10726, 519, 13082, 619, 538, 519, 2063, 2947, 2053, 789, 5129, 888, 763, 681, 2644, 9469, 10093, 1405, 29041, 519, 13082, 619, 538, 519, 2063, 2947, 2053, 789, 5129, 269, 1358, 4503, 782, 2947, 3756, 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 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 519, 2197, 540, 6792, 267, 972, 729, 513, 1390, 7823, 2039, 1572, 519, 23683, 8496, 637, 269, 1452, 10239, 941, 1753, 547, 1082, 2831, 543, 2371, 267, 543, 789, 941, 849, 519, 3501, 1747, 585, 930, 14229, 21294, 30280, 8165, 1996, 519, 2229, 7980, 780, 299, 7637, 519, 15529, 5030, 538, 1346, 10239, 609, 1200, 1920, 269, 2701, 6068, 4730, 12404, 543, 3343, 1851, 519, 7381, 4054, 543, 22586, 23572, 269, 2290, 1554, 267, 1352, 1558, 18581, 519, 6177, 267, 945, 1185, 2095, 333, 936, 519, 3003, 3148, 269, 1358, 2968, 3728, 2828, 543, 3323, 3695, 1927, 780, 2026, 700, 7637, 543, 18581, 6172, 5523, 2362, 909, 519, 7823, 267, 789, 4362, 1945, 5863, 910, 1004, 2713, 10838, 519, 7725, 256, 1452, 941, 519, 30280, 267, 543, 789, 4951, 700, 7637, 543, 18581, 875, 789, 1031, 519, 10239, 607, 741, 5728, 3490, 780, 21893, 2337, 721, 1544, 9983, 6285, 2437, 1767, 835, 31111, 267, 15738, 2509, 519, 23898, 2630, 1141, 2229, 7980, 22415, 1117, 1510, 6616, 1018, 19179, 1243, 873, 269, 834, 2171, 946, 938, 1702, 540, 891, 10239, 547, 14897, 1354, 4896, 29598, 721, 15323, 289, 10154, 8068, 1776, 1271, 3364, 282, 1256, 1498, 972, 941, 6266, 540, 3039, 4054, 1472, 267, 2694, 540, 519, 4104, 6743, 26151, 543, 8900, 269, 1261, 4280, 519, 30280, 1946, 602, 5949, 269, 834, 11039, 2437, 6045, 1776, 31111, 267, 834, 1492, 2229, 13290, 547, 1265, 721, 676, 8781, 1524, 10664, 267, 15691, 649, 786, 2196, 2476, 269, 1809, 3079, 267, 649, 1847, 4514, 883, 519, 10239, 3010, 3080, 1554, 267, 950, 700, 7637, 543, 18581, 8120, 547, 741, 5321, 267, 789, 4718, 811, 11642, 982, 2479, 1354, 269, 3911, 5803, 4904, 519, 6607, 267, 31743, 782, 5017, 543, 2831, 2476, 269, 898, 13264, 741, 12271, 1317, 789, 6785, 519, 4539, 1107, 1100, 1426, 610, 12062, 1131, 2611, 585, 1022, 13442, 2713, 7404, 780, 6546, 3781, 267, 896, 519, 5182, 26569, 6607, 267, 700, 7637, 521, 19042, 8909, 569, 267, 834, 3963, 798, 3425, 1118, 971, 15265, 3664, 8119, 18581, 3274, 14452, 267, 834, 15919, 267, 1004, 7340, 602, 2470, 3884, 1405, 1152, 5921, 585, 835, 2249, 269, 1284, 1590, 2463, 543, 2149, 621, 865, 3025, 666, 2661, 32069, 3010, 4517, 3976, 3459, 606, 6397, 3460, 585, 2370, 700, 7637, 543, 18581, 267, 3450, 1866, 827, 8497, 2470, 1247, 1565, 3407, 4245, 2933, 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, 18658, 1909, 1705, 519, 23683, 8496, 516, 7823, 2039, 1404, 538, 5935, 519, 12485, 8246, 1282, 519, 11204, 7169, 888, 296, 3112, 1683, 2123, 8369, 267, 855, 1775, 666, 1683, 1344, 602, 519, 521, 20346, 14834, 516, 7823, 2039, 5129, 513, 1713, 1909, 538, 5935, 519, 12485, 1031, 538, 519, 30067, 4618, 4838, 269, 519, 521, 20346, 14834, 516, 3177, 2067, 6830, 5874, 543, 15720, 4025, 585, 4838, 2456, 267, 3850, 873, 547, 10131, 1368, 20482, 8759, 6285, 593, 2229, 4229, 269, 519, 7823, 2039, 849, 1500, 621, 4101, 585, 519, 2229, 547, 20834, 1125, 4229, 267, 3056, 873, 547, 18992, 547, 1210, 1085, 528, 3481, 3618, 12485, 547, 23574, 856, 31111, 4229, 269, 519, 29990, 14099, 12936, 6370, 4566, 585, 1312, 5011, 267, 1519, 519, 2702, 547, 5968, 543, 3761, 10136, 269, 519, 30280, 941, 2111, 547, 15407, 741, 15982, 1702, 540, 519, 2244, 547, 4323, 543, 18956, 24847, 267, 1818, 621, 2352, 585, 519, 2229, 547, 2744, 519, 5580, 1688, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]