SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 269, 634, 2164, 540, 1896, 2090, 8612, 602, 24101, 571, 3101, 643, 958, 519, 1764, 540, 2627, 11315, 1145, 593, 15451, 28455, 568, 1454, 811, 1271, 982, 519, 3310, 540, 2627, 1863, 1648, 269, 2368, 538, 24155, 2090, 723, 6700, 513, 12939, 1377, 540, 2627, 11315, 1145, 630, 26244, 815, 476, 271, 269, 273, 32755, 264, 2630, 799, 1100, 2417, 5786, 538, 15799, 13250, 1223, 581, 4397, 269, 1323, 2333, 538, 11315, 1145, 540, 2627, 3564, 713, 8473, 1467, 1377, 267, 2705, 267, 8507, 538, 21800, 2333, 538, 15799, 13250, 269, 1691, 454, 293, 1168, 538, 20117, 2090, 4080, 547, 723, 3310, 540, 2627, 11315, 1145, 593, 15799, 5250, 269, 1879, 4522, 941, 17735, 538, 9190, 4529, 267, 513, 476, 1015, 24670, 2333, 538, 12733, 535, 6748, 4559, 729, 2938, 1310, 2627, 13193, 326, 515, 940, 630, 18933, 691, 345, 543, 29928, 1040, 1428, 1717, 267, 950, 519, 28455, 540, 6790, 696, 19905, 521, 1481, 17430, 547, 12432, 2326, 729, 8947, 609, 13380, 11315, 1145, 630, 337, 4474, 689, 476, 271, 269, 279, 547, 476, 272, 269, 275, 32755, 1070, 1152, 30050, 3604, 941, 10805, 269, 4935, 267, 891, 2090, 5815, 513, 2318, 9756, 1063, 2627, 11315, 1145, 543, 3355, 9190, 28455, 269, 1626, 454, 19617, 2730, 538, 24155, 2090, 8947, 519, 1198, 540, 2627, 11315, 1145, 593, 24101, 571, 3101, 2526, 15799, 5250, 543, 593, 27731, 1072, 269, 681, 965, 7252, 630, 322, 992, 985, 267, 15498, 705, 583, 906, 264, 18645, 543, 11677, 811, 15799, 630, 628, 32169, 1858, 267, 543, 12733, 8108, 4559, 1040, 1452, 7422, 941, 1447, 6654, 538, 2550, 609, 6099, 5711, 9882, 610, 950, 15799, 729, 20639, 609, 19020, 17523, 269, 2991, 1896, 2395, 540, 15799, 5250, 267, 11315, 7252, 22426, 9921, 15799, 6353, 676, 606, 2799, 8167, 540, 2138, 850, 7103, 543, 838, 10098, 322, 2867, 525, 269, 1306, 513, 12343, 267, 31750, 609, 11315, 7252, 941, 811, 4749, 11303, 676, 606, 28332, 1974, 2632, 1756, 267, 6353, 676, 2362, 11702, 4994, 267, 606, 2799, 1212, 341, 7781, 5714, 2504, 267, 543, 1277, 10999, 28332, 5160, 269, 1744, 4176, 543, 5347, 7252, 1510, 11188, 657, 885, 267, 4222, 267, 12802, 267, 18274, 2225, 267, 1609, 12060, 267, 4313, 267, 14909, 32725, 267, 7850, 900, 1962, 9778, 267, 18900, 29473, 2424, 267, 543, 2681, 6617, 616, 2188, 602, 723, 8329, 547, 513, 1134, 10784, 1122, 3603, 1008, 29850, 11808, 269, 1704, 454, 763, 1699, 1353, 5342, 729, 1759, 593, 2627, 11315, 1145, 543, 11188, 13920, 540, 1614, 1008, 29850, 29260, 2326, 269, 769, 713, 1353, 941, 18861, 332, 996, 659, 787, 17218, 2861, 1313, 30496, 1067, 1242, 1008, 29850, 29260, 1570, 630, 7894, 296, 264, 543, 645, 3722, 2861, 1313, 30496, 1067, 1242, 1008, 29850, 29260, 2326, 630, 307, 11391, 1993, 527, 267, 5019, 11391, 10001, 1040, 1677, 2638, 2627, 11315, 1145, 540, 1142, 1570, 267, 519, 15013, 941, 8737, 609, 519, 948, 540, 4234, 515, 1210, 513, 5311, 540, 476, 3199, 267, 476, 1911, 267, 476, 6344, 267, 476, 5611, 267, 476, 1220, 267, 476, 6110, 267, 476, 7785, 27497, 5070, 1957, 269, 645, 529, 14092, 23359, 12432, 2861, 1008, 29850, 29260, 2326, 616, 11543, 538, 8560, 267, 1317, 540, 741, 7047, 16466, 6765, 1062, 269, 901, 7006, 839, 776, 1505, 568, 10375, 267, 2636, 585, 513, 811, 4977, 543, 5812, 3575, 267, 543, 7551, 10607, 922, 2168, 543, 7344, 3601, 269, 645, 529, 14092, 23359, 12432, 568, 1114, 689, 8715, 659, 787, 17218, 759, 1231, 269, 898, 568, 2147, 547, 12432, 29260, 2326, 1317, 621, 568, 1500, 540, 20312, 14092, 787, 331, 18300, 543, 22803, 6445, 619, 269, 1240, 454, 6097, 547, 10672, 5528, 267, 519, 18300, 1062, 568, 519, 5214, 5119, 538, 799, 824, 3334, 616, 24797, 610, 15702, 269, 898, 5161, 540, 1395, 12002, 543, 666, 581, 12249, 1242, 269, 634, 6445, 518, 1062, 5161, 540, 15768, 5536, 602, 616, 24797, 538, 519, 18300, 1062, 269, 12025, 2039, 540, 519, 6445, 619, 9775, 689, 5386, 5536, 630, 271, 269, 276, 1700, 274, 32755, 264, 547, 29370, 710, 5536, 630, 271, 269, 6860, 1700, 271, 269, 273, 32755, 1040, 3487, 2873, 540, 1114, 7306, 543, 5546, 616, 3006, 20762, 547, 3489, 5551, 3601, 269, 674, 14525, 5536, 616, 2627, 5701, 630, 3682, 31184, 10001, 1040, 7843, 335, 1993, 527, 568, 7768, 540, 513, 7848, 540, 8715, 659, 23359, 759, 1231, 543, 3623, 2033, 2389, 8972, 4837, 609, 18559, 16736, 6927, 543, 23416, 269, 898, 568, 513, 1079, 12268, 3490, 11305, 520, 3315, 560, 267, 3678, 1460, 267, 1582, 2275, 1005, 543, 645, 3722, 2861, 1008, 29850, 11808, 1570, 269, 866, 454, 306, 16577, 11315, 1145, 568, 606, 1271, 4183, 2404, 609, 6915, 28291, 5250, 269, 14780, 4564, 2627, 11315, 1145, 269, 14780, 2418, 941, 2282, 476, 271, 269, 273, 32755, 267, 799, 666, 581, 2808, 607, 11630, 547, 2890, 6716, 1143, 17091, 269, 634, 15013, 941, 16271, 547, 606, 3355, 2627, 11315, 1145, 1449, 630, 26244, 1107, 32755, 1040, 1452, 941, 1287, 8737, 609, 476, 5611, 547, 476, 7785, 27497, 28890, 5070, 17549, 896, 13576, 1216, 630, 288, 1886, 565, 661, 269, 589, 4710, 322, 267, 9501, 267, 8478, 264, 693, 513, 3044, 3432, 540, 476, 4968, 678, 10975, 2394, 789, 6603, 513, 11098, 540, 476, 274, 269, 271, 13008, 476, 272, 269, 271, 6515, 269, 2290, 540, 519, 7252, 729, 3684, 25509, 609, 533, 636, 823, 543, 1216, 267, 4553, 676, 627, 1746, 1793, 25744, 609, 1135, 5109, 12308, 338, 630, 935, 14846, 610, 3044, 1135, 5109, 264, 543, 519, 824, 2427, 729, 25509, 609, 2027, 4388, 630, 307, 1815, 10378, 267, 590, 14244, 6754, 334, 267, 8478, 1040, 634, 15013, 941, 1287, 6027, 609, 513, 9043, 11281, 630, 300, 26623, 1195, 334, 10378, 1107, 5080, 325, 4530, 476, 22145, 264, 26215, 730, 585, 513, 476, 271, 269, 1839, 6515, 3732, 2627, 269, 634, 11315, 1145, 540, 1142, 19494, 729, 6027, 7466, 543, 519, 1611, 1871, 6592, 269, 277, 454, 763, 1699, 1353, 11117, 543, 3379, 519, 2627, 11315, 1145, 1063, 1614, 1008, 29850, 2326, 630, 3682, 31184, 267, 7843, 335, 1993, 527, 267, 543, 667, 18444, 1040, 17183, 11315, 1145, 540, 5019, 11391, 1611, 1871, 729, 476, 271, 269, 272, 32755, 267, 7843, 335, 1993, 527, 1611, 1871, 729, 476, 271, 269, 274, 32755, 267, 543, 667, 18444, 1611, 1871, 729, 476, 271, 269, 279, 32755, 269, 634, 30654, 1449, 729, 1031, 547, 2638, 2627, 11315, 1145, 282, 533, 17032, 729, 5833, 630, 335, 2999, 476, 271, 269, 9826, 1040, 11778, 941, 3810, 1713, 269, 5019, 11391, 1185, 1447, 2627, 11315, 1145, 4553, 676, 7843, 335, 1993, 527, 543, 667, 18444, 563, 306, 16577, 11315, 1145, 5540, 519, 3355, 28455, 540, 2281, 855, 4667, 4830, 540, 9190, 13250, 2899, 3355, 28455, 814, 3144, 1747, 269, 2060, 2463, 547, 15799, 6604, 267, 476, 271, 269, 273, 32755, 14780, 1058, 581, 6098, 585, 7252, 540, 5959, 1964, 32590, 269, 654, 28126, 543, 661, 1868, 4080, 602, 15799, 13250, 4386, 593, 12432, 15013, 609, 513, 2627, 11315, 1145, 540, 476, 271, 269, 278, 547, 476, 272, 269, 4510, 32755, 269, 736, 5221, 519, 14780, 2418, 5833, 676, 2582, 25686, 18138, 538, 713, 1353, 24132, 1657, 476, 271, 269, 273, 32755, 267, 713, 2241, 5650, 666, 1152, 581, 20582, 585, 2110, 3856, 267, 954, 574, 1964, 32590, 269, 2641, 454, 21930, 1696, 620, 1704, 3379, 20312, 14092, 787, 331, 543, 6751, 7246, 2326, 538, 2474, 540, 29473, 2424, 267, 26048, 267, 8589, 535, 23474, 267, 543, 9096, 269, 1280, 1312, 18751, 543, 17911, 4522, 267, 789, 1336, 519, 20312, 14092, 787, 331, 2326, 3648, 9120, 547, 6751, 7246, 538, 782, 6688, 543, 1851, 519, 1585, 2326, 267, 2090, 723, 5342, 602, 5019, 11391, 10001, 568, 1034, 2681, 7123, 543, 609, 9120, 7344, 543, 2168, 3601, 269, 2420, 454, 763, 1699, 1353, 5342, 729, 849, 1759, 593, 11188, 13920, 4470, 2390, 22405, 540, 2627, 1858, 543, 1297, 540, 22405, 538, 1142, 1008, 29850, 1570, 3379, 609, 519, 11188, 13920, 540, 2627, 1858, 543, 1297, 540, 22405, 1063, 1008, 29850, 2326, 630, 3682, 31184, 267, 7843, 335, 1993, 527, 267, 667, 18444, 1040, 1677, 7520, 519, 11188, 13920, 13220, 267, 519, 15013, 941, 27153, 538, 20004, 585, 476, 273, 3108, 269, 3973, 15013, 941, 32092, 539, 538, 4881, 1216, 585, 476, 1015, 7643, 267, 12015, 609, 519, 948, 540, 513, 5160, 1957, 269, 634, 1297, 540, 22405, 538, 1142, 1858, 729, 5462, 609, 519, 948, 540, 8305, 558, 2222, 2675, 2100, 630, 302, 9805, 639, 590, 313, 311, 476, 1321, 30677, 3213, 269, 13456, 267, 3567, 264, 609, 3172, 2305, 476, 272, 9943, 476, 2004, 9943, 2059, 609, 2558, 514, 22811, 476, 274, 932, 760, 595, 7374, 8254, 2059, 609, 3301, 630, 3682, 13548, 2079, 264, 547, 2638, 519, 11188, 13920, 540, 1614, 1114, 1008, 29850, 29260, 2326, 630, 7894, 296, 267, 5019, 11391, 267, 543, 7843, 335, 1993, 527, 1040, 634, 30654, 1449, 729, 1031, 547, 2638, 2627, 1858, 540, 11188, 13920, 538, 1142, 1008, 29850, 1570, 269, 11778, 941, 6592, 269, 6399, 2627, 1858, 540, 667, 18444, 1871, 729, 476, 271, 269, 16573, 271, 267, 1611, 2627, 1858, 540, 7843, 335, 1993, 527, 1871, 729, 476, 271, 269, 9826, 272, 267, 1611, 2627, 1858, 540, 5019, 11391, 1871, 729, 476, 271, 269, 9826, 273, 282, 533, 17032, 729, 5833, 282, 533, 815, 476, 271, 269, 275, 2764, 630, 2254, 1713, 1040, 9747, 267, 2164, 941, 711, 1713, 630, 307, 11391, 1993, 527, 3436, 5019, 11391, 3436, 667, 18444, 1916, 303, 528, 13920, 814, 1044, 11911, 547, 513, 3099, 540, 2188, 602, 1331, 519, 1739, 281, 5794, 1303, 1905, 618, 1282, 11544, 267, 1395, 9593, 19432, 1282, 519, 12249, 1436, 267, 1395, 9593, 11517, 1436, 2404, 609, 608, 1278, 6193, 5114, 267, 519, 4527, 540, 15895, 1395, 9593, 267, 543, 13385, 11544, 540, 1395, 9593, 543, 12249, 12282, 518, 565, 574, 990, 1696, 620, 4080, 602, 12136, 540, 11188, 13920, 568, 8200, 593, 519, 5834, 540, 519, 4384, 1807, 267, 3622, 22904, 1195, 331, 25681, 538, 519, 12249, 269, 2537, 13689, 593, 519, 2175, 540, 12249, 1436, 267, 476, 1556, 260, 11188, 657, 885, 723, 1044, 2404, 609, 8519, 7344, 3601, 267, 4057, 1609, 12060, 267, 3771, 321, 1681, 540, 7103, 267, 543, 5714, 12802, 269, 30677, 17209, 729, 1031, 547, 8495, 2627, 11188, 657, 885, 538, 782, 519, 5439, 269, 1306, 829, 519, 3332, 2139, 267, 713, 6293, 568, 1373, 1031, 585, 519, 1101, 942, 547, 2268, 519, 11188, 13920, 269, 898, 568, 513, 6325, 1505, 540, 7893, 1858, 540, 2627, 22405, 269, 5800, 542, 540, 519, 3732, 1373, 1085, 10165, 568, 10268, 593, 519, 2780, 609, 519, 948, 540, 3301, 543, 2627, 1858, 540, 22405, 1223, 581, 7229, 269, 279, 1879, 2627, 11315, 1145, 543, 11188, 13920, 941, 3379, 1851, 5019, 11391, 267, 7843, 335, 1993, 527, 267, 543, 667, 18444, 1570, 267, 519, 1655, 2164, 941, 5833, 609, 519, 946, 540, 5019, 11391, 1570, 267, 799, 1185, 3254, 519, 2547, 1297, 540, 11188, 657, 885, 543, 8766, 2627, 11315, 1145, 4553, 676, 7843, 335, 1993, 527, 543, 667, 18444, 563, 306, 16577, 11315, 1145, 543, 11188, 13920, 941, 3379, 1851, 5019, 11391, 267, 7843, 335, 1993, 527, 267, 543, 667, 18444, 1570, 282, 519, 1655, 2164, 941, 5833, 609, 519, 946, 540, 5019, 11391, 1570, 267, 799, 1185, 3254, 519, 2547, 1297, 540, 11188, 657, 885, 543, 8766, 2627, 11315, 1145, 4553, 676, 7843, 335, 1993, 527, 543, 667, 18444, 269, 9747, 1721, 628, 267, 621, 666, 581, 11943, 602, 1851, 519, 1614, 7318, 2326, 267, 5019, 11391, 729, 519, 1655, 1570, 799, 666, 581, 1031, 585, 1008, 29850, 1964, 32590, 269, 0, 24993, 2201, 281, 476, 2767, 268, 6187, 268, 1708, 273, 454, 7476, 8382, 547, 1022, 2243, 267, 1175, 4945, 513, 8666, 543, 14202, 519, 8666, 543, 1205, 519, 2626, 4625, 1863, 2676, 308, 12195, 302, 4696, 11682, 5588, 302, 6730, 717, 4953, 5990, 4888, 14684, 2207, 715, 8582, 2336, 9223, 19672, 11489, 476, 6021, 270, 5400, 270, 1708, 273, 454, 347, 6637, 8745, 1475, 7468, 514, 3321, 2986, 769, 615, 13330, 1656, 7352, 566, 2008, 347, 20428, 1475, 289, 5735, 630, 3467, 5999, 10245, 347, 13911, 540, 8382, 1475, 21581, 2008, 1103, 11473, 910, 2296, 1103, 7956, 910, 2296, 454, 347, 10743, 20242, 3481, 1475, 276, 269, 279, 918, 1341, 2008, 347, 10743, 700, 27419, 1475, 10695, 1341, 2008, 347, 9223, 11473, 30991, 1475, 272, 332 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3902, 786, 979, 1524, 543, 519, 7274, 786, 4473, 269, 0, 763, 1297, 540, 11460, 540, 678, 454, 19477, 3144, 689, 562, 3982, 3688, 269, 11352, 540, 454, 1551, 1052, 618, 568, 1271, 538, 32089, 563, 303, 3799, 267, 678, 264, 815, 562, 256, 14370, 333, 8573, 264, 2336, 1692, 1082, 1614, 4484, 1913, 666, 581, 4646, 676, 1210, 519, 454, 288, 267, 645, 267, 595, 267, 667, 267, 661, 286, 3962, 4484, 1590, 581, 1031, 2899, 563, 276, 256, 14370, 276, 268, 274, 25631, 815, 476, 2568, 454, 27398, 267, 8028, 289, 267, 645, 3722, 267, 7460, 288, 267, 595, 5723, 2676, 290, 10621, 616, 782, 1114, 1913, 4352, 519, 1482, 5022, 616, 454, 4310, 269, 4475, 782, 540, 519, 1913, 1058, 581, 2808, 563, 3198, 30862, 2207, 654, 17751, 9215, 25663, 12717, 24199, 454, 4754, 581, 6074, 538, 476, 276, 2081, 454, 13553, 4484, 666, 581, 6074, 538, 476, 275, 2081, 454, 23612, 4484, 666, 581, 6074, 538, 476, 274, 2081, 454, 276, 1535, 476, 275, 1535, 476, 274, 815, 476, 2568, 2081, 454, 763, 1297, 540, 5542, 540, 678, 454, 19477, 3144, 689, 562, 3982, 3688, 269, 11352, 540, 5542, 454, 529, 711, 1271, 538, 4999, 563, 1692, 1082, 2081, 666, 513, 1614, 4759, 12233, 581, 1305, 909, 676, 519, 454, 11825, 976, 540, 589, 267, 645, 267, 595, 267, 667, 267, 661, 888, 288, 585, 12891, 2917, 454, 289, 585, 15952, 517, 454, 290, 585, 8349, 454, 291, 585, 12253, 454, 292, 585, 14667, 454, 276, 24425, 27007, 276, 268, 274, 25631, 476, 274, 256, 316, 815, 476, 1015, 454, 8333, 527, 6590, 9967, 540, 13235, 267, 8028, 289, 267, 645, 3722, 267, 7460, 288, 267, 595, 5723, 267, 595, 10621, 616, 782, 454, 1492, 1482, 585, 519, 4999, 269, 4475, 267, 1152, 835, 786, 0, 14630, 281, 476, 2767, 4119, 476, 1960, 277, 454, 296, 4312, 5206, 918, 14818, 1210, 606, 2599, 2147, 547, 519, 835, 602, 1775, 4312, 1031, 585, 519, 918, 23871, 20190, 813, 2280, 563, 303, 17123, 540, 713, 813, 2280, 568, 547, 1683, 513, 1507, 543, 2653, 547, 946, 1062, 585, 2870, 4255, 269, 10705, 267, 2542, 930, 17476, 630, 514, 1300, 9567, 541, 2021, 781, 17476, 264, 972, 616, 513, 2603, 540, 4255, 267, 602, 616, 1031, 547, 1732, 917, 5128, 610, 930, 3344, 540, 519, 7209, 630, 663, 1775, 723, 547, 2161, 602, 7363, 616, 29749, 1862, 994, 2690, 1210, 713, 813, 2280, 596, 991, 547, 1711, 476, 273, 1114, 6119, 585, 1142, 1449, 267, 1312, 609, 519, 1482, 2012, 630, 8117, 1114, 970, 1549, 1916, 11372, 559, 4833, 1797, 602, 952, 596, 946, 1776, 1893, 10747, 606, 5007, 1893, 3758, 269, 8437, 28313, 547, 1294, 519, 621, 6501, 1383, 563, 268, 570, 12239, 630, 16344, 17575, 6745, 560, 994, 268, 713, 3758, 3568, 782, 519, 2055, 543, 519, 2626, 269, 8437, 28313, 547, 1294, 606, 1383, 269, 2353, 519, 2055, 616, 6825, 609, 519, 1627, 265, 4191, 269, 634, 4267, 666, 581, 476, 273, 547, 476, 276, 543, 1354, 1142, 540, 873, 596, 1590, 1683, 513, 10230, 1871, 585, 12719, 519, 3803, 6060, 269, 2991, 1142, 2243, 630, 5976, 1644, 4267, 264, 972, 1590, 581, 513, 1899, 5627, 834, 19203, 257, 630, 22764, 14263, 1129, 1916, 268, 19419, 303, 2177, 10345, 630, 16344, 17575, 269, 1206, 337, 994, 268, 713, 3758, 3568, 519, 6114, 269, 8437, 28313, 547, 1294, 606, 1383, 269, 634, 6114, 616, 1759, 593, 513, 2039, 540, 2418, 269, 634, 10325, 1590, 581, 912, 305, 3198, 12283, 630, 11034, 513, 1007, 2039, 994, 300, 2562, 281, 1871, 630, 1492, 5934, 1871, 585, 713, 2039, 269, 8537, 994, 7246, 311, 281, 1871, 630, 1492, 5021, 1871, 585, 713, 2039, 269, 8537, 994, 305, 2464, 303, 2177, 10345, 630, 11034, 3210, 1257, 994, 3667, 540, 3210, 4429, 6011, 1082, 3515, 596, 899, 454, 31756, 3092, 18679, 2894, 11403, 3198, 12283, 630, 754, 540, 519, 2039, 994, 13828, 2055, 543, 4267, 616, 711, 695, 4428, 1194, 630, 3697, 538, 918, 23871, 20190, 1070, 543, 596, 666, 7696, 1447, 4267, 982, 476, 276, 630, 514, 918, 23871, 20190, 4267, 1590, 2141, 581, 476, 276, 1040, 1879, 596, 8737, 519, 1449, 630, 663, 1152, 952, 596, 2285, 782, 519, 4267, 264, 519, 813, 2280, 2982, 519, 3210, 1759, 593, 519, 6060, 602, 519, 3593, 3893, 563, 10485, 30438, 5508, 5990, 6673, 303, 4041, 307, 454, 8923, 1683, 519, 2953, 2450, 547, 519, 813, 2280, 912, 283, 4338, 303, 4041, 307, 2910, 14701, 6889, 298, 14818, 257, 654, 2839, 8025, 284, 4335, 16777, 20846, 284, 23841, 285, 2483, 14818, 630, 16344, 17575, 267, 9949, 6889, 339, 3949, 7456, 560, 5602, 1607, 6724, 3568, 519, 2012, 540, 519, 3758, 602, 8638, 782, 519, 4255, 602, 3593, 666, 2119, 269, 634, 4255, 1590, 581, 17332, 835, 829, 1899, 267, 1510, 970, 1549, 269, 8437, 1934, 547, 1294, 606, 1383, 563, 23458, 630, 16344, 17575, 267, 1100, 9949, 994, 2252, 1031, 713, 9936, 1590, 3568, 519, 2012, 540, 513, 1893, 3758, 269, 8437, 1934, 547, 1294, 606, 1383, 540, 513, 1893, 3758, 630, 1388, 1014, 1040, 1403, 711, 1031, 9949, 1893, 630, 1263, 1501, 264, 568, 1031, 563, 2080, 568, 519, 11090, 1031, 585, 519, 1383, 1657, 912, 283, 4338, 303, 4041, 307, 2910, 14701, 6889, 298, 14818, 257, 654, 2839, 8025, 6889, 4335, 257, 16777, 20846, 6889, 23841, 22969, 2999, 303, 2752, 4456, 715, 28719, 6889, 339, 3949, 257, 966, 3201, 16604, 6889, 20779, 334, 7456, 560, 22969, 21742, 4338, 303, 4041, 307, 11417, 12988, 547, 813, 2280, 1592, 454, 15100, 1960, 277, 267, 5981, 834, 298, 1794, 6373, 257, 12275, 321, 1725, 10620, 0, 1892, 1769, 267, 1554, 267, 21765, 267, 21554, 282, 547, 21554, 267, 1332, 1769, 3248, 1892, 547, 22919, 9637, 563, 273, 269, 642, 269, 1677, 581, 610, 1831, 1769, 610, 1554, 267, 607, 538, 519, 6640, 282, 579, 320, 513, 334, 25697, 1093, 267, 519, 3781, 814, 1831, 1769, 269, 744, 8811, 269, 476, 1321, 281, 1240, 563, 274, 269, 1677, 25805, 267, 607, 689, 513, 5075, 610, 5326, 563, 275, 269, 1677, 2097, 547, 835, 781, 1318, 2247, 610, 1582, 1790, 1601, 11970, 563, 276, 269, 521, 269, 8752, 282, 1554, 267, 538, 11984, 689, 1093, 269, 3781, 269, 20943, 269, 476, 272, 281, 276, 269, 1280, 519, 1114, 5712, 540, 942, 998, 519, 3781, 267, 1294, 5487, 773, 1731, 269, 476, 1789, 563, 277, 269, 7755, 269, 2037, 2775, 2989, 282, 5483, 282, 25009, 282, 6140, 4448, 609, 14255, 879, 267, 607, 14255, 879, 7776, 267, 543, 2854, 607, 835, 2262, 563, 278, 269, 562, 269, 1022, 2186, 540, 513, 6531, 267, 1519, 30379, 375, 16230, 335, 7699, 267, 855, 4481, 267, 1164, 12269, 602, 950, 2842, 1532, 31500, 1085, 644, 2059, 630, 6390, 390, 375, 320, 1040, 32647, 912, 320, 758, 19476, 267, 4764, 6531, 267, 5134, 454, 7776, 3138, 320, 267, 1279, 6531, 282, 1164, 610, 11397, 6531, 2483, 7776, 30379, 375, 16230, 333, 2129, 328, 267, 6531, 609, 22774, 630, 390, 375, 16230, 333, 2129, 328, 264, 4778, 563, 320, 537, 2993, 267, 6109, 3512, 267, 6607, 267, 4544, 29256, 540, 13140, 563, 390, 375, 16230, 335, 7699, 267, 25858, 344, 12269, 267, 607, 4871, 539, 909, 2282, 519, 16880, 454, 335, 5953, 331, 5953, 332, 10394, 267, 533, 5953, 335, 15401, 10394, 267, 5394, 267, 10053, 267, 607, 12269, 454, 30298, 777, 7699, 390, 375, 320, 267, 12683, 540, 4996, 320, 390, 375, 320, 8975, 481, 267, 4871, 540, 12269, 2483, 279, 269, 562, 269, 6531, 267, 2489, 2165, 563, 280, 269, 521, 269, 589, 6531, 269, 623, 4157, 269, 476, 1691, 281, 866, 269, 589, 334, 533, 537, 2993, 267, 513, 4158, 6531, 269, 623, 4157, 269, 476, 1691, 281, 736, 269, 10878, 803, 320, 562, 3570, 1775, 1183, 513, 334, 269, 24319, 540, 12269, 269, 20855, 331, 269, 476, 1240, 281, 1691, 563, 1015, 269, 562, 269, 1158, 267, 3618, 267, 7706, 563, 1556, 269, 634, 1158, 269, 16199, 269, 476, 8660, 281, 1556, 269, 744, 1183, 513, 334, 683, 328, 267, 522, 1183, 807, 513, 334, 267, 713, 1158, 282, 522, 737, 11253, 513, 334, 267, 519, 2104, 1158, 282, 14255, 530, 1695, 328, 513, 334, 267, 31676, 4025, 269, 661, 6647, 269, 476, 272, 281, 274, 563, 1321, 269, 642, 339, 269, 547, 581, 6297, 267, 581, 2264, 267, 4585, 856, 563, 1724, 269, 1677, 5299, 519, 1383, 540, 1866, 269, 20855, 331, 269, 476, 1240, 281, 280, 269, 769, 519, 16122, 267, 552, 513, 334, 267, 1413, 856, 282, 4585, 282, 581, 593, 707, 9856, 282, 1491, 646, 539, 269, 594, 657, 269, 476, 2420, 281, 276, 563, 1691, 269, 10575, 663, 1858, 563, 1428, 269, 18986, 558, 269, 519, 3169, 3239, 540, 630, 2181, 1027, 539, 676, 513, 30379, 375, 324, 1916, 1626, 269, 562, 269, 513, 2186, 540, 5386, 1319, 563, 1704, 269, 562, 269, 513, 2186, 540, 3165, 630, 7224, 1239, 1916, 1240, 269, 1677, 4001, 282, 4051, 269, 700, 4157, 269, 476, 1556, 281, 272, 563, 866, 269, 1677, 679, 13097, 282, 4051, 538, 835, 781, 10279, 610, 2932, 269, 744, 8811, 330, 269, 476, 1015, 281, 1556, 563, 736, 269, 1677, 1065, 17311, 282, 1491, 646, 539, 282, 581, 2264, 282, 547, 24633, 269, 20943, 269, 476, 4029, 281, 2190, 563, 2641, 269, 1677, 5279, 14553, 563, 2420, 269, 1677, 1451, 547, 798, 513, 3364, 282, 547, 1451, 267, 547, 1353, 267, 607, 513, 1893, 282, 552, 14255, 737, 636, 340, 552, 267, 552, 513, 334, 522, 4157, 537, 1775, 25697, 522, 548, 5979, 16127, 267, 744, 3610, 267, 1353, 519, 22963, 1893, 563, 2537, 269, 11310, 282, 6044, 282, 1183, 513, 334, 16562, 267, 14985, 563, 2190, 269, 8752, 282, 4294, 547, 519, 1769, 25984, 540, 4195, 3762, 540, 2371, 610, 4054, 282, 519, 3039, 4195, 19512, 282, 513, 737, 1575, 340, 267, 513, 561, 879, 267, 513, 3138, 320, 267, 513, 513, 334, 267, 513, 18665, 334, 267, 513, 6010, 334, 282, 519, 1647, 610, 1007, 6978, 540, 2371, 282, 607, 267, 513, 334, 32748, 267, 513, 334, 737, 14900, 563, 1839, 269, 521, 269, 667, 3072, 737, 14900, 610, 12277, 630, 328, 269, 552, 1421, 737, 14900, 610, 12277, 19323, 543, 12015, 267, 264, 1031, 585, 1426, 563, 2918, 269, 7256, 1532, 1348, 610, 1022, 2182, 3694, 729, 1572, 513, 334, 676, 11316, 2103, 950, 789, 1101, 4718, 621, 563, 2767, 269, 1677, 2543, 609, 27527, 282, 547, 23491, 3248, 2764, 269, 642, 269, 5853, 1152, 538, 554, 5622, 1421, 8580, 269, 476, 274, 269, 1677, 15673, 282, 547, 2119, 282, 547, 6961, 269, 8355, 269, 476, 1321, 281, 1015, 563, 3066, 269, 1677, 2119, 835, 781, 2932, 610, 8516, 585, 513, 10279, 269, 700, 6064, 269, 476, 278, 281, 275, 563, 1789, 269, 1677, 2119, 282, 22368, 269, 20855, 331, 476, 275, 281, 4097, 563, 4029, 269, 1677, 2119, 547, 798, 513, 3364, 547, 23754, 2436, 621, 666, 581, 2944, 282, 552, 11876, 7776, 552, 513, 324, 522, 324, 544, 600, 7699, 513, 12103, 641, 641, 334, 267, 513, 538, 320, 12103, 641, 641, 334, 267, 620, 841, 320, 554, 3570, 267, 2119, 1101, 2436, 519, 3364, 568, 15164, 267, 952, 15164, 267, 1287, 798, 621, 563, 3953, 269, 1677, 2119, 282, 6492, 540, 269, 1775, 269, 552, 1421, 7985, 267, 607, 1928, 610, 2669, 269, 4223, 269, 476, 1626, 281, 1240, 269, 1677, 15673, 267, 607, 519, 10513, 13336, 269, 744, 8811, 269, 476, 276, 281, 280, 563, 3451, 269, 1677, 2119, 267, 1775, 269, 552, 1421, 547, 1071, 4725, 527, 1354, 7365, 563, 4097, 269, 1677, 8858, 610, 2259, 519, 695, 600, 6804, 2932, 540, 519, 28486, 607, 538, 5449, 2053, 563, 3374, 269, 521, 269, 3203, 1421, 25697, 269, 8745, 540, 513, 2249, 540, 6177, 269, 5487, 773, 1731, 269, 476, 3066, 563, 347, 22446, 1475, 288, 334, 30379, 375, 16230, 7032, 641, 1470, 13954, 21930, 6531, 8198, 347, 13466, 314, 288, 6531, 602, 14380, 689, 4262, 1377, 610, 2673, 547, 519, 6531, 8492, 543, 568, 607, 3043, 607, 9252, 269, 1879, 2938, 538, 918, 7431, 267, 11316, 390, 375, 328, 267, 713, 568, 513, 1129, 540, 4764, 20426, 2008, 347, 16348, 1475, 390, 375, 292, 5953, 256, 3223, 737, 879, 544, 2967, 683, 328, 1183, 513, 334, 3443, 641, 8457, 1775, 579, 6390, 269, 661, 579, 320, 544, 2967, 16562, 533, 21036 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19136, 4578, 568, 4742, 835, 540, 519, 1034, 14437, 827, 2029, 3466, 19951, 269, 634, 1483, 4161, 609, 519, 2462, 3919, 568, 547, 1205, 5021, 856, 540, 519, 1239, 2907, 2139, 543, 3589, 1018, 2186, 540, 1239, 547, 2445, 538, 519, 2104, 269, 1215, 547, 1491, 519, 4540, 1239, 543, 1118, 621, 6209, 602, 621, 2488, 721, 4977, 5813, 538, 519, 2250, 1239, 568, 835, 540, 519, 1883, 4901, 2798, 538, 1082, 540, 519, 10324, 11401, 538, 3906, 269, 2060, 519, 16411, 540, 519, 1239, 519, 4161, 814, 8854, 547, 519, 1985, 1377, 543, 1631, 513, 8262, 4578, 568, 4742, 519, 4641, 538, 1082, 3906, 563, 1103, 713, 476, 2641, 2395, 3126, 649, 786, 581, 3695, 1082, 1898, 3584, 1644, 547, 2462, 1239, 269, 769, 476, 2641, 2395, 267, 649, 786, 581, 8720, 1739, 3584, 538, 2653, 547, 1174, 1893, 563, 1892, 19425, 3538, 675, 540, 8262, 4578, 454, 1892, 19136, 4578, 513, 5004, 543, 23840, 454, 1892, 17843, 16370, 1107, 670, 5964, 641, 267, 10934, 516, 706, 576, 454, 1892, 18600, 2622, 22062, 725, 454, 28775, 621, 948, 256, 0, 8340, 811, 631, 842, 639, 14077, 543, 1332, 707, 3529, 676, 3695, 17542, 540, 3140, 5638, 269, 570, 2586, 1169, 8717, 2094, 476, 9692, 271, 267, 519, 772, 2529, 269, 8549, 17227, 666, 2995, 596, 513, 2603, 827, 707, 1920, 269, 1280, 1383, 267, 689, 476, 4350, 271, 547, 476, 3707, 271, 972, 941, 476, 1691, 1447, 1004, 3957, 631, 842, 639, 538, 519, 2136, 2276, 2443, 543, 930, 540, 873, 616, 2693, 1644, 547, 596, 563, 1432, 952, 596, 1185, 513, 6885, 883, 519, 1686, 540, 707, 1920, 286, 2060, 3140, 5638, 267, 596, 798, 269, 3245, 1753, 1272, 547, 4876, 267, 5638, 948, 3142, 707, 14077, 262, 2833, 883, 1445, 269, 1703, 941, 476, 11793, 1004, 3957, 631, 842, 639, 538, 519, 476, 4350, 271, 772, 2529, 269, 17227, 269, 769, 476, 3707, 271, 267, 972, 941, 476, 1724, 260, 1447, 1004, 3957, 631, 842, 639, 538, 519, 2136, 2276, 269, 1548, 729, 1272, 899, 585, 873, 888, 1103, 476, 3707, 271, 267, 476, 10844, 1004, 3957, 631, 842, 639, 941, 2713, 538, 519, 2136, 2276, 269, 769, 513, 25135, 14653, 912, 2026, 631, 842, 639, 3885, 4797, 547, 1332, 267, 789, 2451, 811, 13475, 593, 519, 4786, 281, 0, 1432, 616, 519, 476, 276, 5933, 540, 4729, 538, 10370, 9536, 773, 286, 608, 281, 29547, 11059, 267, 5695, 940, 8672, 267, 29725, 1314, 267, 12096, 532, 11059, 267, 1299, 10390, 454, 763, 2243, 19528, 519, 2947, 5933, 540, 4729, 282, 2705, 267, 594, 1131, 899, 547, 1448, 856, 602, 519, 2947, 5933, 540, 4729, 616, 3335, 1163, 3789, 267, 8375, 2962, 267, 6172, 1314, 267, 9991, 2962, 267, 543, 3932, 269, 634, 2243, 3085, 1405, 1331, 1163, 3789, 269, 5502, 267, 621, 2882, 834, 339, 9506, 1448, 1701, 634, 7432, 1448, 568, 1419, 24190, 585, 6172, 1314, 563, 763, 1163, 3789, 540, 513, 1650, 568, 519, 1650, 781, 4367, 269, 898, 12857, 2101, 3197, 543, 4259, 269, 769, 10370, 9536, 773, 267, 3988, 616, 5189, 547, 10370, 9536, 773, 1318, 2476, 269, 1284, 1294, 1200, 21108, 1200, 1920, 543, 1200, 1753, 689, 606, 22679, 529, 1438, 7703, 269, 634, 1650, 781, 1163, 3789, 1281, 513, 1390, 2816, 540, 6029, 3988, 602, 10370, 9536, 773, 568, 606, 11212, 2178, 3056, 1915, 269, 2701, 781, 12703, 543, 3833, 5827, 269, 1306, 585, 519, 4259, 267, 10370, 9536, 773, 2729, 538, 28599, 1282, 519, 11633, 7169, 563, 12179, 1650, 781, 8375, 2962, 568, 3622, 16922, 540, 811, 982, 513, 2582, 2680, 269, 2334, 781, 3020, 538, 10370, 9536, 773, 269, 1703, 616, 1082, 8375, 3527, 269, 10370, 9536, 773, 781, 1920, 23619, 519, 3484, 267, 543, 1352, 568, 7142, 547, 960, 693, 12338, 2401, 781, 570, 11232, 333, 269, 2701, 4991, 17991, 543, 16976, 547, 1831, 513, 12051, 8004, 269, 2701, 2337, 519, 31566, 1205, 13417, 3089, 269, 4495, 538, 8899, 749, 267, 1352, 4991, 513, 2816, 543, 568, 16397, 693, 519, 3432, 543, 6846, 540, 519, 6191, 269, 2701, 5555, 3587, 835, 540, 519, 12051, 781, 1283, 6721, 6690, 782, 1247, 535, 2056, 1055, 1200, 20148, 781, 4638, 8441, 269, 10370, 9536, 773, 4991, 13676, 1247, 593, 519, 2816, 267, 543, 1352, 568, 7142, 547, 5721, 1007, 2324, 6690, 563, 299, 344, 9536, 773, 781, 7555, 909, 547, 1200, 20148, 585, 519, 19160, 540, 1776, 8004, 538, 519, 12051, 568, 1018, 5012, 547, 519, 1650, 781, 6172, 1314, 269, 634, 6172, 1314, 568, 10370, 9536, 773, 7555, 909, 547, 6004, 269, 9370, 6577, 781, 4638, 8441, 4724, 1776, 12051, 8004, 543, 13604, 1373, 17991, 563, 763, 9991, 3527, 540, 713, 1880, 1650, 979, 3833, 3533, 269, 10370, 9536, 773, 568, 3109, 4289, 539, 689, 519, 15327, 267, 1352, 11564, 513, 19619, 540, 1004, 1519, 667, 10005, 543, 6004, 269, 9370, 6577, 269, 8921, 1352, 7024, 547, 28599, 1141, 1352, 568, 6069, 547, 676, 19279, 563, 763, 1650, 781, 3932, 568, 10370, 9536, 773, 781, 2626, 269, 2701, 1281, 711, 3858, 547, 19533, 1864, 1318, 2476, 267, 855, 1352, 1281, 1616, 1864, 547, 7227, 585, 1200, 269, 10370, 9536, 773, 781, 3119, 3804, 543, 1544, 568, 547, 979, 547, 2852, 269, 2701, 786, 1287, 2693, 2132, 1753, 547, 19533, 19279, 563, 763, 1163, 3789, 540, 513, 1650, 568, 519, 4098, 267, 1141, 519, 3197, 543, 4259, 616, 5189, 269, 769, 519, 4098, 540, 713, 1650, 267, 649, 2743, 519, 1292, 543, 2140, 1915, 10370, 9536, 773, 269, 10370, 9536, 773, 568, 513, 2178, 267, 8746, 4807, 855, 1200, 1920, 568, 1360, 4057, 543, 1352, 568, 711, 13473, 269, 634, 4259, 568, 519, 11633, 3345, 538, 519, 4571, 268, 866, 628, 2540, 267, 4352, 538, 519, 4098, 540, 519, 1650, 10370, 9536, 773, 568, 538, 28599, 563, 763, 8375, 2962, 540, 513, 1650, 568, 519, 2621, 602, 2253, 547, 635, 12393, 519, 4729, 269, 769, 713, 2013, 267, 10370, 9536, 773, 3762, 519, 3484, 543, 4422, 547, 519, 2462, 2749, 547, 960, 538, 513, 12051, 269, 1703, 1352, 16137, 875, 1919, 960, 543, 581, 325, 12188, 513, 12051, 11832, 267, 667, 10005, 717, 1601, 267, 945, 568, 606, 19191, 945, 6499, 547, 6963, 519, 12051, 547, 1205, 1732, 2324, 2175, 585, 519, 6690, 563, 763, 6172, 1314, 4386, 950, 10370, 9536, 773, 568, 17991, 689, 1200, 2816, 585, 7555, 909, 547, 1200, 20148, 269, 2701, 1281, 711, 1174, 1018, 646, 1797, 950, 646, 934, 4926, 1200, 540, 5837, 2881, 335, 3363, 630, 9404, 528, 1275, 1070, 865, 519, 2356, 535, 30711, 10370, 9536, 773, 3112, 9718, 9887, 269, 4595, 1352, 568, 711, 2016, 513, 15149, 540, 8956, 762, 11166, 267, 1352, 3112, 1205, 1776, 2816, 563, 1103, 519, 9991, 2962, 267, 10370, 9536, 773, 16137, 519, 2495, 540, 5837, 2881, 335, 3363, 543, 568, 27337, 1881, 269, 2701, 15359, 1206, 1200, 2025, 20148, 543, 5654, 909, 1200, 2025, 3659, 667, 10005, 717, 1601, 267, 855, 1352, 6104, 8460, 4986, 865, 1352, 7024, 1753, 547, 28599, 632, 915, 539, 563, 763, 6571, 4386, 950, 10370, 9536, 773, 7024, 1753, 543, 12034, 19279, 267, 606, 2025, 3659, 269, 2701, 6645, 1864, 1352, 568, 4058, 547, 979, 547, 2852, 269, 2701, 849, 4566, 547, 19533, 1864, 269, 0, 21790, 6888, 769, 4065, 454, 763, 5272, 4132, 28202, 1161, 8750, 6770, 11009, 543, 824, 2247, 23073, 2853, 547, 1453, 563, 21790, 6888, 585, 11334, 1107, 5049, 6035, 585, 3610, 267, 1129, 909, 593, 1367, 610, 1895, 4493, 693, 519, 11009, 4099, 454, 21790, 995, 11819, 4825, 805, 1107, 15964, 540, 11009, 585, 3610, 547, 1451, 11009, 2553, 454, 21790, 995, 6184, 16291, 1107, 634, 11009, 4099, 4648, 786, 2097, 547, 707, 1153, 547, 5721, 707, 3610, 1282, 606, 1202, 16291, 610, 3318, 1554, 563, 21790, 995, 4841, 910, 634, 11009, 4099, 786, 2097, 547, 596, 1153, 547, 1683, 11009, 5049, 610, 2866, 547, 707, 1053, 454, 10403, 476, 276, 1295, 11461, 9066, 10916, 1107, 4647, 519, 1863, 10916, 547, 946, 538, 707, 4928, 454, 3963, 11009, 585, 3610, 888, 22826, 568, 835, 540, 519, 1034, 14785, 6009, 593, 519, 4541, 855, 621, 568, 849, 835, 540, 519, 1034, 17173, 269, 11334, 616, 711, 1152, 3743, 585, 519, 4058, 267, 11056, 543, 6268, 540, 741, 1378, 960, 267, 789, 616, 849, 4371, 18177, 585, 519, 2298, 267, 2773, 267, 543, 3811, 11050, 4093, 540, 2875, 1565, 563, 763, 7569, 540, 519, 4928, 543, 519, 2699, 18249, 1909, 540, 519, 476, 2641, 588, 2540, 4116, 616, 971, 602, 12503, 23995, 816, 832, 616, 11999, 543, 2479, 1790, 6974, 269, 30451, 3068, 1713, 2157, 540, 2566, 607, 789, 2119, 547, 1265, 519, 942, 1282, 519, 1153, 1554, 547, 3666, 3450, 267, 13508, 267, 15737, 267, 21249, 267, 9015, 267, 5234, 4058, 267, 10319, 4058, 267, 11401, 267, 2385, 2792, 267, 3092, 563, 302, 3200, 830, 4116, 2566, 666, 1291, 547, 912, 268, 11819, 25794, 454, 268, 16508, 25874, 454, 268, 21561, 538, 2566, 1644, 10108, 454, 268, 17520, 543, 4965, 454, 268, 769, 324, 8997, 4116, 2773, 454, 268, 18648, 2875, 3347, 454, 268, 4400, 4116, 24826, 454, 763, 13533, 4116, 13123, 519, 7934, 1063, 519, 6612, 602, 11479, 835, 547, 4001, 609, 519, 1995, 2556, 547, 11654, 513, 16135, 267, 14156, 543, 6457, 1302, 7524, 1995, 9624, 519, 2591, 540, 519, 2029, 12454, 267, 11451, 4448, 13460, 540, 2221, 543, 14182, 269, 634, 13533, 4116, 568, 1447, 5114, 776, 543, 811, 8049, 543, 22679, 529, 1438, 1282, 17173, 610, 703, 28424, 4928, 2833, 269, 901, 538, 2490, 267, 5932, 543, 8992, 811, 2318, 267, 1447, 13720, 1049, 4205, 609, 1053, 607, 1134, 607, 513, 811, 9350, 543, 12560, 4928, 1604, 269, 9650, 995, 3610, 616, 2111, 547, 18663, 543, 8300, 741, 1053, 267, 2743, 543, 9765, 6788, 538, 519, 4928, 267, 543, 616, 811, 2693, 547, 2936, 1713, 543, 9434, 1689, 602, 5688, 3278, 3450, 543, 1565, 269, 1358, 1118, 606, 967, 529, 1584, 762, 3017, 593, 7607, 543, 5876, 538, 519, 2729, 540, 741, 1053, 269, 9650, 995, 3610, 616, 849, 1732, 5423, 547, 6023, 519, 2479, 1790, 6974, 2591, 540, 3232, 17163, 2566, 543, 4928, 2359, 563, 22025, 1113, 2164, 540, 13533, 3610, 912, 268, 8682, 4656, 543, 1582, 1416, 454, 268, 15474, 12003, 2994, 543, 6043, 454, 268, 14451, 2298, 540, 6044, 267, 6278, 543, 1565, 454, 268, 21561, 538, 4116, 3929, 1134, 5630, 543, 8112, 454, 268, 10815, 19535, 9015, 543, 4928, 2359, 454, 268, 674, 2120, 4928, 543, 4116, 6051, 689, 17173, 7933, 626, 7675, 4205, 454, 268, 2859, 11215, 4928, 1604, 454, 268, 20865, 6947, 543, 8343, 1983, 454, 268, 16842, 9316, 543, 5790, 540, 2324, 1927, 4116, 547, 4116, 543, 4116, 547, 2875, 454, 268, 26094, 538, 2875, 2623, 607, 513, 1267, 540, 2318, 4116, 6278, 454, 268, 15474, 4081, 4882, 3469, 270, 655, 10899, 5867, 538, 1931, 547, 2232, 1367, 2875, 2115, 454, 268, 20865, 2123, 4485, 547, 1225, 14152, 4058, 270, 574, 921, 7695, 454, 268, 2859, 2500, 2792, 609, 1053, 267, 3237, 543, 1153, 2647, 2146, 454, 305, 3996, 518, 267, 681, 1421, 5576, 517, 1068, 268, 3725, 747, 331, 267, 918, 1421, 808, 3873, 267, 589, 1421, 595, 1638, 523, 267, 631, 1421, 28615, 267, 700, 1421, 12070, 839, 5652, 267, 681, 1421, 1299, 3267, 26858, 267, 808, 269, 630, 1001, 274, 1040, 24238, 9751, 543, 11087, 2388, 538, 11819, 13262, 543, 22210, 719, 281, 11778, 689, 5565, 15932, 1242, 267, 27016, 4289, 268, 6513, 12197, 2558, 10118, 269, 4750, 2986, 12409, 10017, 267, 476, 10755, 263, 274, 1070, 476, 4281, 278, 268, 476, 3199, 275, 563, 4537, 777, 10098, 267, 590, 1421, 1234, 577, 1206, 577, 3530, 523, 267, 667, 1421, 1299, 632, 590, 748, 320, 267, 590, 269, 630, 1001, 277, 1040, 24238, 2866, 585, 3610, 269, 769, 918, 269, 589, 269, 5576, 517, 1068, 268, 3725, 747, 331, 267, 681, 269, 654, 269, 681, 3996, 518, 267, 918, 269, 589, 269, 5576, 517, 1068, 268, 3725, 747, 331, 267, 681, 269, 654, 269, 681, 3996, 518, 630, 32295, 4700, 2073, 18361, 540, 11009, 538, 2069, 281, 23889, 3069, 543, 1382, 883, 2259, 630, 653, 269, 476, 10695, 268, 9032, 1040, 1715, 3840, 267, 12924, 267, 2475, 281, 22219, 13305, 518, 25419, 14539, 269, 8222, 281, 1015, 269, 1911, 278, 270, 7818, 268, 272, 268, 476, 5392, 274, 280, 268, 12573, 277, 268, 476, 273, 318, 277, 454, 306, 7219 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15404, 32093, 3494, 1360, 9244, 538, 519, 17071, 640, 540, 2021, 267, 543, 789, 1491, 1169, 4316, 547, 6961, 621, 563, 1607, 2985, 3568, 3377, 543, 16555, 827, 865, 10777, 834, 327, 517, 528, 6146, 902, 257, 543, 824, 2081, 602, 5771, 13000, 454, 342, 1580, 899, 13184, 269, 1452, 13685, 2049, 538, 519, 772, 2529, 1421, 4516, 543, 4789, 267, 2943, 519, 1390, 15594, 454, 548, 19470, 2443, 519, 10800, 1841, 256, 2443, 616, 782, 11207, 14980, 269, 2290, 1131, 1589, 602, 519, 8706, 1235, 454, 30524, 723, 519, 10978, 652, 9739, 538, 1489, 540, 513, 2112, 602, 4547, 9111, 547, 12925, 543, 4847, 2021, 547, 8917, 2443, 543, 454, 326, 597, 3149, 547, 7390, 1153, 2443, 585, 519, 1101, 942, 269, 4634, 538, 513, 942, 540, 3448, 4708, 267, 519, 11173, 454, 335, 15462, 540, 834, 327, 517, 528, 11318, 257, 568, 711, 1945, 547, 1832, 9602, 827, 563, 293, 19691, 540, 5375, 12339, 24452, 1879, 898, 781, 4107, 10261, 539, 269, 2201, 8734, 269, 476, 1839, 267, 519, 2136, 8315, 454, 8181, 7007, 922, 5993, 590, 4869, 8696, 17963, 540, 6820, 2920, 13659, 18830, 13834, 15369, 20222, 1996, 2021, 454, 663, 6690, 269, 901, 786, 3136, 2394, 5463, 269, 476, 1015, 267, 799, 568, 5274, 7126, 4303, 269, 3733, 1004, 616, 454, 1492, 8706, 1235, 693, 519, 6167, 269, 1358, 849, 2212, 27013, 267, 19582, 23107, 693, 1336, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 1410, 4618, 12677, 2782, 645, 25114, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 6406, 12668, 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, 0, 645, 1329, 333, 2297, 543, 4139, 1401, 3031, 1431, 281, 589, 12213, 667, 633, 883, 26353, 16316, 338, 692, 1103, 519, 4207, 1148, 1158, 267, 536, 1329, 333, 2297, 543, 3486, 24218, 3180, 1713, 31449, 543, 3310, 269, 1452, 2621, 4196, 607, 1271, 5867, 585, 15386, 5969, 12967, 11247, 267, 5807, 2518, 7499, 5188, 267, 543, 5009, 3444, 14426, 5385, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 1369, 519, 2796, 540, 26353, 3045, 1023, 267, 3695, 741, 1686, 267, 4162, 267, 1764, 267, 543, 4296, 547, 1699, 3466, 269, 1284, 786, 849, 1865, 875, 891, 2621, 1599, 607, 4244, 5624, 585, 7499, 4082, 3564, 2757, 9754, 5468, 267, 5373, 6667, 689, 519, 5545, 834, 691, 1788, 257, 7613, 5018, 538, 519, 4367, 780, 2414, 2253, 267, 1577, 721, 5581, 1018, 13054, 513, 536, 1329, 333, 1446, 543, 606, 3486, 14266, 269, 5637, 2474, 3277, 547, 1804, 8397, 13350, 1148, 2621, 267, 1419, 2921, 1747, 1169, 1079, 1296, 630, 321, 1329, 333, 658, 264, 610, 1614, 1296, 630, 28256, 27812, 1040, 1358, 3335, 4125, 3875, 10283, 2477, 267, 13686, 3309, 1568, 17364, 1585, 23447, 543, 6163, 267, 543, 4482, 8101, 9458, 543, 2565, 3007, 269, 1717, 267, 1247, 536, 1329, 333, 2297, 3622, 1445, 593, 4207, 1148, 2504, 267, 3486, 24218, 666, 7854, 6626, 3140, 5380, 610, 21044, 6212, 780, 30399, 267, 3486, 1163, 657, 1431, 971, 607, 519, 2622, 781, 674, 4202, 6039, 607, 840, 15479, 832, 547, 2413, 536, 1329, 333, 2297, 543, 3486, 24218, 269, 22073, 538, 519, 4571, 268, 866, 628, 2540, 267, 891, 4023, 338, 6322, 547, 4159, 6639, 7760, 267, 2686, 10781, 267, 543, 4853, 23258, 1851, 6082, 269, 3683, 942, 267, 5386, 6575, 3459, 547, 19582, 5051, 7986, 7158, 1369, 891, 1163, 657, 1431, 267, 5555, 3056, 547, 1796, 29671, 1148, 25700, 2621, 899, 519, 24131, 645, 1329, 333, 1446, 267, 799, 729, 3964, 538, 476, 6245, 276, 543, 3788, 835, 540, 519, 1034, 22644, 539, 536, 1329, 333, 2297, 11451, 780, 3080, 10747, 8984, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 568, 741, 8561, 593, 1225, 31247, 5075, 543, 6249, 1646, 269, 4354, 2209, 1404, 2629, 5107, 538, 5935, 1142, 2680, 781, 4287, 267, 8939, 5159, 543, 26620, 602, 13469, 609, 519, 6074, 4798, 610, 2152, 269, 901, 1935, 2636, 585, 811, 5059, 5717, 543, 14245, 3379, 547, 2757, 9754, 10525, 267, 7175, 8436, 547, 4497, 609, 1950, 2093, 543, 19929, 4478, 4207, 1148, 2259, 269, 3958, 267, 536, 1329, 333, 2297, 4749, 6451, 3135, 10391, 19698, 543, 1685, 894, 2609, 267, 2417, 23243, 2933, 689, 6671, 19922, 5468, 780, 5194, 8037, 2460, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 568, 741, 1909, 538, 14123, 2518, 7499, 5121, 543, 15377, 269, 1635, 8744, 1927, 5159, 267, 1225, 2209, 267, 13915, 267, 543, 19216, 689, 1472, 519, 1158, 267, 891, 2621, 6536, 6209, 7391, 543, 21769, 2066, 10923, 6302, 269, 5015, 267, 789, 1683, 3255, 585, 14758, 8153, 5159, 547, 2744, 4598, 543, 6284, 593, 606, 3486, 3942, 267, 7700, 547, 519, 29159, 540, 519, 2518, 1148, 6429, 780, 4913, 267, 621, 568, 1898, 547, 11760, 519, 1761, 19363, 2404, 609, 536, 1329, 333, 2297, 543, 3486, 24218, 269, 31379, 8044, 602, 891, 2621, 666, 28511, 16402, 1417, 878, 12886, 1813, 547, 741, 8129, 543, 4797, 17282, 676, 5375, 5238, 269, 5047, 267, 4145, 3823, 5010, 1436, 543, 4715, 12386, 1419, 8451, 267, 607, 13384, 11208, 9388, 543, 1164, 3491, 12803, 32398, 11044, 949, 31083, 20760, 519, 4890, 1148, 4843, 269, 11048, 267, 1082, 25696, 11441, 547, 2232, 891, 30852, 998, 8537, 5752, 267, 12581, 6041, 267, 543, 11826, 11407, 780, 307, 9506, 938, 3007, 1394, 547, 519, 5545, 834, 691, 1788, 257, 7613, 782, 24231, 547, 4505, 267, 649, 1265, 4277, 19320, 1063, 922, 31672, 543, 602, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 269, 6145, 519, 5449, 267, 519, 8545, 849, 3343, 547, 16637, 2757, 9754, 32604, 267, 8508, 23349, 28503, 543, 2502, 609, 9962, 2950, 269, 1280, 3236, 267, 519, 661, 577, 15282, 6874, 8999, 926, 10222, 3317, 1446, 538, 3567, 3217, 1747, 538, 6917, 2127, 267, 13321, 14460, 8075, 267, 3506, 267, 543, 4610, 883, 10151, 26847, 543, 7317, 19698, 269, 6684, 267, 3561, 320, 267, 4371, 1169, 2947, 1296, 538, 918, 553, 1088, 267, 5125, 267, 814, 9450, 3564, 922, 3355, 4683, 4259, 267, 6220, 9205, 4609, 543, 1256, 5691, 4641, 2833, 538, 2487, 21820, 780, 3528, 6313, 536, 1329, 333, 2297, 543, 3486, 24218, 1369, 519, 5943, 540, 26353, 3045, 1023, 267, 649, 666, 1732, 1174, 741, 4644, 543, 7418, 547, 519, 3677, 1148, 5117, 269, 1306, 4244, 5624, 585, 3860, 17634, 543, 7214, 7521, 267, 891, 2621, 11349, 6422, 19929, 1851, 5159, 267, 1225, 2209, 267, 543, 9458, 5001, 1107, 19929, 602, 3136, 547, 11457, 7258, 13346, 8739, 27791, 8916, 543, 6932, 4066, 269, 3414, 13455, 6278, 609, 891, 5867, 267, 649, 1831, 3742, 5171, 538, 5935, 519, 2104, 24551, 540, 4207, 1148, 2259, 543, 7071, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30153, 3203, 18768, 538, 3778, 454, 30153, 3203, 18768, 538, 3778, 454, 763, 3483, 540, 713, 1557, 568, 547, 9691, 4983, 519, 1875, 2173, 5237, 2861, 1148, 1788, 538, 3567, 538, 513, 3140, 5133, 269, 634, 968, 691, 1788, 2223, 1634, 538, 5545, 607, 968, 5953, 1729, 533, 1755, 329, 2131, 19513, 892, 1765, 320, 6037, 28375, 540, 519, 2296, 1913, 1765, 13757, 27648, 513, 2101, 7121, 538, 3567, 779, 1148, 1158, 2094, 519, 476, 1960, 271, 338, 269, 634, 2165, 30109, 18575, 1148, 24218, 267, 855, 2882, 12644, 267, 11925, 267, 543, 1514, 2853, 602, 1491, 1747, 538, 5656, 824, 982, 15882, 610, 538, 519, 1930, 2011, 538, 519, 2749, 543, 24781, 269, 898, 6227, 513, 2647, 2039, 540, 4238, 689, 1804, 8397, 24218, 6896, 676, 2199, 6608, 547, 9793, 20695, 3785, 6896, 676, 1875, 17416, 3906, 547, 1507, 13355, 7376, 7341, 269, 4014, 930, 540, 873, 16937, 609, 3486, 1148, 536, 1329, 333, 10118, 543, 2468, 3317, 10118, 267, 1148, 3785, 616, 6140, 1970, 1532, 644, 1326, 2238, 602, 4183, 6469, 5159, 693, 1008, 29850, 28503, 585, 8097, 5301, 269, 1703, 723, 1044, 1906, 14046, 2090, 593, 519, 1283, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 1329, 333, 2297, 543, 4139, 1401, 3031, 1431, 257, 607, 851, 540, 834, 11286, 1315, 16316, 338, 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, 0, 8080, 547, 938, 3460, 998, 942, 607, 649, 2263, 519, 4241, 3778, 540, 13243, 256, 901, 3504, 2749, 814, 5129, 513, 1713, 1909, 538, 1082, 4529, 543, 10764, 2429, 1686, 269, 4653, 267, 1577, 781, 1445, 593, 922, 4276, 547, 5840, 543, 21157, 780, 5331, 1373, 513, 942, 2951, 518, 9683, 13243, 5215, 540, 1296, 3516, 282, 596, 1131, 1265, 1004, 8026, 1585, 4978, 267, 6340, 1114, 4654, 267, 543, 2713, 1927, 538, 713, 6909, 1747, 269, 10801, 1686, 267, 13243, 814, 1419, 1044, 693, 519, 4099, 540, 7526, 1813, 547, 922, 4644, 547, 1896, 10764, 899, 17194, 267, 8567, 267, 543, 5771, 269, 3776, 1650, 2221, 5956, 950, 13243, 2968, 519, 3854, 540, 519, 6014, 1533, 1572, 5840, 1472, 476, 1911, 271, 14514, 269, 4595, 1287, 267, 621, 6585, 2620, 3140, 543, 5289, 2956, 547, 7642, 5001, 780, 3086, 3728, 4464, 547, 811, 2487, 2053, 910, 827, 513, 4627, 1296, 3516, 269, 4438, 519, 2038, 476, 736, 628, 2540, 267, 13253, 8057, 1063, 6014, 11082, 945, 3357, 547, 7017, 538, 1018, 729, 1287, 1634, 607, 3703, 13495, 2218, 21157, 630, 1633, 18170, 676, 519, 5177, 264, 543, 519, 2199, 24752, 2551, 269, 1306, 891, 13882, 4797, 267, 1312, 2516, 5326, 339, 540, 2348, 741, 1378, 4182, 1141, 789, 1223, 2661, 25678, 2687, 547, 741, 5389, 543, 2418, 269, 10251, 267, 1142, 2427, 10645, 13243, 607, 741, 1318, 995, 3854, 267, 799, 3773, 4492, 547, 519, 3595, 780, 5475, 5756, 540, 4655, 267, 22195, 267, 16395, 267, 543, 10617, 267, 5840, 10294, 3294, 606, 4830, 2197, 538, 476, 3707, 279, 269, 1717, 267, 13114, 29562, 1705, 711, 5431, 713, 1007, 1533, 267, 3056, 547, 1256, 811, 8165, 1063, 873, 543, 5840, 529, 269, 3683, 942, 267, 15231, 2477, 3893, 3238, 1932, 267, 1818, 1919, 5051, 7294, 269, 16828, 267, 2694, 540, 13243, 941, 5258, 883, 1079, 10851, 1107, 835, 6417, 676, 5840, 543, 1776, 676, 16888, 269, 898, 7012, 1405, 2394, 476, 3422, 278, 602, 5840, 6591, 1852, 936, 519, 3003, 2749, 1282, 519, 14520, 28233, 2782, 1996, 5527, 267, 16888, 267, 543, 16850, 780, 7712, 1287, 267, 13243, 3788, 513, 29653, 2749, 269, 2755, 5840, 15109, 519, 2898, 2749, 607, 922, 3768, 22866, 3854, 267, 1034, 824, 6082, 1152, 11760, 4639, 13243, 607, 971, 1317, 540, 5571, 9840, 3823, 3486, 1876, 543, 2797, 26117, 269, 2201, 519, 824, 1688, 267, 13114, 29562, 1869, 29954, 790, 547, 3715, 5101, 13243, 607, 519, 3854, 540, 741, 2104, 1533, 780, 3086, 1934, 2501, 606, 4277, 2490, 540, 2621, 256, 21298, 267, 972, 723, 1044, 930, 2318, 2242, 8345, 1369, 519, 3148, 269, 1280, 3236, 267, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1070, 2059, 609, 15840, 1778, 267, 28348, 3347, 609, 5840, 538, 5181, 476, 1708, 271, 269, 1452, 8978, 11650, 267, 3957, 519, 14062, 6452, 3581, 267, 2832, 547, 3895, 1732, 2792, 267, 5698, 267, 543, 1620, 1851, 891, 6082, 269, 962, 1515, 700, 777, 573, 267, 5840, 781, 1699, 14579, 10579, 267, 5063, 10272, 519, 32329, 547, 1930, 5840, 781, 2377, 29983, 538, 26512, 667, 4725, 328, 543, 931, 3634, 538, 29903, 1107, 519, 1101 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4493, 267, 15691, 547, 17908, 10210, 619, 685, 22293, 540, 875, 513, 9583, 16434, 476, 277, 2600, 829, 3923, 7135, 883, 476, 1911, 2600, 829, 1032, 563, 5978, 1995, 609, 519, 29370, 12099, 3906, 649, 723, 11567, 547, 4266, 5267, 602, 891, 616, 1483, 2152, 602, 22881, 1058, 581, 3222, 540, 950, 16208, 1719, 2557, 1239, 563, 2414, 581, 2312, 267, 649, 1810, 1406, 1589, 12123, 513, 1164, 1719, 2557, 19752, 4636, 4777, 532, 593, 519, 851, 540, 513, 29370, 12099, 4871, 269, 4400, 1719, 3928, 949, 581, 519, 1655, 1259, 547, 7413, 9271, 543, 4196, 811, 1004, 267, 543, 7817, 7589, 693, 1164, 1719, 3928, 949, 581, 606, 13525, 602, 789, 616, 3478, 513, 3028, 789, 1871, 269, 1284, 1175, 1616, 547, 4063, 875, 11495, 519, 3017, 568, 1063, 519, 3355, 968, 322, 1243, 892, 1719, 2557, 22881, 1419, 5873, 827, 543, 519, 968, 324, 8997, 892, 1719, 2557, 2921, 782, 2188, 883, 2272, 563, 2171, 5063, 11117, 513, 29370, 12099, 9872, 630, 300, 293, 296, 264, 538, 5689, 25596, 267, 519, 12130, 1503, 15351, 7690, 267, 607, 851, 540, 938, 1184, 585, 26084, 513, 9886, 547, 606, 2804, 16882, 17493, 538, 4427, 25781, 4000, 269, 4706, 7150, 1719, 2557, 585, 922, 1034, 2442, 10211, 1826, 568, 476, 736, 9077, 855, 912, 268, 476, 736, 260, 568, 519, 2557, 936, 519, 1576, 540, 519, 476, 275, 18881, 10211, 269, 634, 968, 333, 558, 1400, 16316, 20587, 720, 15580, 630, 4338, 305, 264, 892, 630, 320, 1455, 1259, 540, 17548, 1719, 3928, 538, 13387, 2474, 543, 519, 2557, 799, 772, 2529, 269, 32225, 616, 2838, 547, 1683, 547, 10210, 619, 264, 540, 713, 10211, 267, 609, 1100, 824, 3790, 267, 1131, 4061, 581, 476, 2568, 18336, 268, 9314, 568, 7229, 607, 513, 6366, 2557, 269, 476, 736, 260, 540, 519, 2898, 10211, 2179, 568, 9901, 1142, 8569, 267, 3079, 540, 476, 736, 260, 540, 519, 6967, 10211, 3666, 269, 901, 1505, 12651, 519, 22194, 6673, 305, 689, 476, 2568, 260, 547, 476, 11152, 10065, 2201, 513, 1269, 1911, 10211, 540, 713, 1826, 267, 513, 10210, 518, 1131, 2628, 1269, 736, 538, 1719, 3379, 609, 1152, 1269, 1321, 269, 3199, 593, 513, 10211, 609, 19394, 3666, 1719, 563, 268, 9796, 906, 616, 1813, 1169, 1079, 4374, 267, 3079, 540, 1169, 3923, 267, 865, 602, 519, 1101, 8569, 568, 1813, 1152, 1079, 4374, 1310, 519, 10211, 568, 1500, 269, 10671, 3931, 476, 279, 11033, 3079, 540, 476, 275, 12651, 519, 22194, 6673, 305, 689, 476, 11152, 260, 547, 476, 9083, 18336, 268, 634, 12130, 1503, 15351, 7690, 3340, 10210, 619, 547, 3180, 476, 736, 260, 540, 519, 10211, 2179, 538, 513, 9806, 2272, 799, 3112, 581, 15600, 2394, 519, 10211, 568, 1065, 4660, 269, 2201, 513, 10211, 540, 1269, 1911, 267, 713, 10421, 6971, 519, 2500, 2450, 540, 519, 10211, 547, 1269, 3199, 267, 1247, 13302, 519, 2500, 2450, 540, 519, 2063, 8569, 1813, 676, 1269, 736, 630, 20357, 9806, 616, 1287, 3015, 1040, 634, 9806, 10421, 12651, 519, 6673, 305, 689, 476, 9083, 260, 547, 476, 14983, 18336, 268, 1488, 7666, 2406, 267, 519, 6673, 305, 1031, 1657, 630, 328, 4318, 269, 519, 968, 333, 558, 1400, 6673, 305, 14615, 896, 560, 919, 519, 1719, 2557, 1004, 616, 9878, 1317, 621, 1281, 711, 1491, 883, 2272, 519, 7623, 1871, 540, 1719, 269, 630, 310, 7364, 779, 7127, 593, 6673, 305, 814, 513, 4901, 540, 519, 4143, 2152, 4700, 2311, 5266, 1970, 1719, 3928, 267, 971, 607, 519, 1719, 3928, 649, 2461, 1031, 547, 538, 519, 772, 2529, 1421, 519, 968, 333, 558, 1400, 6673, 305, 892, 630, 6343, 568, 2356, 4080, 264, 543, 519, 968, 324, 8997, 6673, 305, 892, 630, 1492, 968, 3901, 3012, 1227, 3020, 892, 1719, 2557, 264, 616, 2356, 1360, 2673, 547, 1142, 824, 1107, 855, 693, 519, 1454, 2362, 1719, 3928, 9901, 676, 29370, 12099, 5238, 267, 519, 968, 324, 8997, 6673, 305, 892, 666, 581, 14320, 2362, 267, 9870, 519, 2243, 540, 799, 835, 1058, 581, 20926, 547, 2285, 4892, 519, 1655, 4605, 540, 1018, 1004, 616, 1373, 9901, 269, 634, 12130, 1503, 15351, 7690, 779, 22194, 6673, 305, 540, 476, 14983, 260, 568, 6697, 547, 606, 2500, 6673, 305, 540, 476, 30444, 18336, 8253, 1152, 616, 891, 3803, 968, 324, 8997, 892, 1719, 3928, 1082, 2053, 8273, 982, 519, 3355, 968, 736, 260, 892, 4137, 267, 789, 2461, 849, 3648, 2362, 982, 1131, 581, 22466, 676, 3168, 693, 16066, 293, 779, 22194, 14407, 14769, 6556, 2687, 547, 17186, 15812, 564, 630, 11152, 260, 585, 476, 1220, 279, 282, 17186, 10369, 11225, 713, 607, 1719, 543, 12375, 5258, 676, 519, 14407, 3328, 10211, 14769, 30155, 7876, 293, 3085, 1406, 5279, 12375, 593, 922, 12029, 267, 855, 824, 29370, 12099, 5238, 798, 267, 543, 891, 666, 2014, 2417, 1713, 4679, 538, 519, 2500, 1719, 2557, 269, 630, 2690, 1383, 267, 4946, 513, 476, 276, 260, 13927, 547, 519, 4098, 540, 513, 10211, 602, 1510, 12375, 1131, 723, 513, 22194, 6673, 305, 540, 476, 2412, 260, 12651, 922, 22194, 6673, 305, 547, 476, 5780, 260, 8094, 5804, 1018, 649, 4076, 2938, 267, 12375, 267, 25471, 9806, 267, 543, 519, 6366, 1719, 2557, 1505, 3100, 547, 581, 9425, 1455, 1851, 29370, 12099, 5238, 269, 2986, 519, 476, 4792, 631, 293, 3674, 945, 1185, 11643, 513, 4317, 13437, 11621, 7797, 547, 17186, 10369, 607, 540, 3735, 476, 1220, 280, 267, 476, 5655, 260, 946, 519, 6366, 1719, 2557, 14311, 267, 476, 3066, 260, 4371, 25471, 9806, 6589, 267, 543, 476, 7761, 260, 6394, 12375, 593, 693, 2547, 930, 10211, 2472, 630, 3147, 1800, 547, 741, 17186, 10369, 12632, 1916, 8139, 519, 3020, 1942, 540, 5491, 585, 513, 10210, 518, 568, 1271, 585, 4128, 5941, 5892, 912, 268, 4400, 1719, 3928, 630, 18474, 1441, 609, 1164, 3928, 540, 23231, 618, 543, 1970, 6749, 856, 3928, 264, 1397, 602, 10210, 619, 616, 8348, 547, 2628, 513, 1164, 3902, 585, 519, 10211, 267, 24903, 31552, 602, 789, 1871, 713, 3028, 563, 268, 1403, 1719, 3928, 616, 1970, 267, 29370, 12099, 5238, 949, 581, 3927, 4758, 6666, 19132, 267, 693, 799, 1448, 519, 6071, 1249, 540, 7589, 3587, 1447, 6209, 267, 543, 621, 3587, 811, 1271, 547, 2307, 7247, 519, 1688, 8083, 616, 2469, 547, 563, 268, 2201, 519, 824, 1688, 267, 519, 2362, 519, 1719, 2557, 267, 519, 811, 649, 5855, 827, 2436, 24228, 568, 1434, 585, 519, 10210, 619, 630, 663, 827, 23278, 4925, 899, 713, 835, 1916, 288, 9425, 1007, 11036, 630, 11034, 539, 538, 476, 1220, 279, 1070, 631, 293, 9558, 10337, 267, 568, 2324, 547, 1711, 513, 811, 1930, 4901, 827, 8020, 1503, 15351, 14499, 267, 543, 814, 16432, 543, 3370, 1719, 2557, 1239, 585, 1079, 2477, 267, 18548, 11844, 543, 25591, 269, 1284, 1413, 4464, 547, 1739, 519, 3356, 540, 713, 11036, 543, 547, 5373, 593, 922, 1239, 547, 1217, 938, 13753, 540, 29370, 12099, 3906, 563, 19950, 532, 1224, 267, 2523, 2094, 594, 5206, 1250, 4487, 5098, 827, 4010, 519, 1482, 1888, 630, 3724, 538, 476, 1220, 276, 281, 5291, 2517, 4178, 269, 30533, 323, 2593, 7933, 665, 270, 280, 2767, 1691, 19072, 2222, 325, 12099, 994, 4263, 519, 5843, 299, 15351, 7690, 267, 649, 3494, 11413, 585, 1312, 938, 7218, 543, 22881, 568, 11613, 1883, 543, 2463, 602, 519, 2376, 568, 3168, 547, 2232, 713, 269, 11109, 1044, 2206, 1194, 856, 607, 606, 631, 293, 296, 602, 568, 22801, 922, 22881, 676, 12123, 513, 1454, 2362, 1719, 2557, 982, 621, 2829, 649, 1745, 25997, 547, 1039, 547, 519, 2376, 547, 23248, 2285, 513, 3787, 811, 3666, 547, 1018, 519, 5843, 299, 15351, 7690, 798, 630, 10175, 938, 1719, 3928, 264, 543, 1946, 563, 2414, 1413, 693, 29370, 12099, 3466, 17618, 2066, 519, 1158, 267, 9236, 835, 968, 300, 293, 296, 892, 2324, 1369, 835, 3148, 540, 519, 1158, 547, 1776, 2324, 538, 513, 1114, 3148, 568, 11371, 1231, 1227, 22801, 907, 634, 1883, 851, 540, 519, 2165, 29370, 12099, 568, 2048, 332, 2222, 685, 1107, 713, 1797, 3168, 693, 1142, 631, 293, 296, 538, 2463, 547, 922, 18689, 25808, 2197, 779, 11615, 543, 519, 4890, 15295, 540, 519, 18689, 25808, 563, 1103, 824, 3817, 540, 519, 12315, 11039, 3135, 12315, 11039, 10404, 1047, 5843, 299, 15351, 7690, 585, 1152, 3246, 1344, 1394, 547, 476, 1220, 277, 610, 476, 1220, 278, 267, 15029, 824, 14540, 1683, 1344, 15198, 1454, 2417, 1394, 269, 1703, 568, 513, 2241, 2601, 585, 891, 3604, 267, 5843, 299, 15351, 7690, 568, 513, 1454, 7820, 13539, 982, 1346, 547, 7247, 12315, 11039, 3343, 547, 5635, 621, 547, 630, 11034, 539, 538, 476, 1220, 273, 538, 835, 540, 519, 30529, 4525, 540, 5689, 25596, 609, 835, 812, 267, 513, 11332, 543, 1269, 1428, 267, 1822, 1070, 621, 814, 2760, 4607, 1022, 2101, 835, 1055, 21856, 689, 1022, 13539, 543, 814, 3710, 3294, 909, 27261, 958, 3024, 532, 1169, 1269, 24603, 1107, 693, 938, 3942, 540, 1646, 649, 1745, 938, 10862, 1058, 581, 547, 1489, 519, 5215, 540, 991, 344, 1004, 538, 5689, 25596, 609, 1507, 12029, 543, 1870, 2866, 267, 2864, 982, 6108, 5215, 540, 9489, 593, 513, 10427, 631, 3041, 454, 4263, 5843, 299, 15351, 7690, 649, 960, 5097, 538, 5689, 25596, 267, 835, 540, 519, 476, 1015, 30529, 2477, 538, 519, 1158, 519, 2477, 5989, 568, 3908, 267, 519, 5354, 540, 1004, 2661, 7449, 14571, 24454, 543, 519, 1377, 540, 2069, 568, 1970, 269, 1284, 1445, 938, 960, 538, 519, 6917, 2127, 609, 1004, 945, 12777, 723, 1985, 547, 4986, 543, 723, 2760, 5892, 1185, 1569, 547, 2883, 2533, 543, 909, 547, 476, 2004, 260, 540, 7247, 616, 2192, 30185, 269, 769, 1840, 649, 1152, 1118, 12029, 547, 4057, 2021, 945, 1616, 547, 1376, 610, 1020, 4540, 4213, 269, 1284, 798, 711, 1118, 1164, 1871, 12029, 547, 2892, 926, 539, 5520, 267, 7957, 10696, 676, 519, 631, 293, 296, 779, 547, 5397, 6940, 563, 2171, 1810, 1406, 3274, 1294, 6000, 607, 513, 2757, 968, 300, 293, 296, 31865, 649, 31274, 602, 1142, 10211, 1895, 11392, 476, 279, 13838, 540, 2866, 1354, 789, 4309, 741, 12029, 267, 649, 16491, 938, 5234, 609, 5179, 321, 10105, 865, 602, 789, 616, 2111, 547, 2951, 1713, 9883, 689, 2551, 18013, 547, 3643, 938, 7817, 2516, 630, 15367, 6382, 1131, 711, 581, 3222, 540, 938, 6228, 6862, 581, 2111, 547, 6488, 547, 2951, 547, 938, 7936, 13646, 1040, 1284, 1223, 2736, 856, 519, 1942, 540, 519, 3028, 602, 649, 1683, 1063, 19142, 593, 267, 2069, 543, 2866, 543, 1719, 267, 855, 649, 3442, 711, 547, 585, 519, 8897, 540, 1620, 585, 938, 7218, 269, 3776, 1719, 3928, 616, 538, 1747, 547, 1711, 2883, 6940, 1775, 4318, 269, 547, 3382, 519, 1942, 540, 3246, 519, 1657, 3028, 543, 616, 7229, 538, 13076, 609, 595, 294, 4338, 779, 3044, 1505, 585, 1719, 2557, 4259, 269, 1733, 12241, 1995, 538, 5689, 25596, 1131, 598, 2017, 609, 519, 4681, 540, 5576, 28704, 543, 17578, 577, 778, 630, 1220, 272, 264, 543, 25347, 6199, 630, 1220, 273, 264, 26518, 538, 519, 1657, 19297, 1957, 1107, 602, 938, 7218, 616, 2111, 547, 5352, 12434, 540, 1082, 2053, 519, 2179, 602, 649, 10211, 547, 873, 1107, 649, 1131, 27082, 602, 972, 568, 2693, 513, 21465, 3095, 1063, 519, 1377, 540, 1646, 540, 519, 2146, 543, 519, 3928, 540, 7443, 602, 922, 2890, 11639, 616, 2111, 547, 6556, 689, 2890, 8804, 563, 24876, 6202, 779, 9819, 540, 5843, 299, 15351, 7690, 779, 3928, 568, 1759, 593, 519, 13429, 602, 7218, 2628, 1394, 4010, 593, 942, 1169, 942, 267, 2705, 11992, 593, 741, 3135, 789, 723, 20402, 938, 23231, 618, 2557, 267, 5103, 721, 7713, 938, 23231, 618, 2557, 547, 873, 593, 1896, 14026, 269, 769, 519, 2063, 476, 274, 1296, 476, 7176, 260, 540, 938, 7218, 723, 6976, 1394, 519, 2724, 602, 789, 723, 22666, 689, 721, 269, 1717, 513, 1507, 4939, 540, 938, 7218, 1491, 3476, 982, 519, 8815, 23231, 618, 2474, 269, 982, 519, 8815, 1974, 547, 23231, 907, 13298, 982, 10336, 1047, 519, 7218, 609, 22717, 267, 26550, 625, 606, 3606, 1719, 585, 3735, 23231, 906, 649, 1491, 513, 811, 1620, 1935, 543, 1450, 873, 8112, 547, 23231, 269, 4256, 5821, 568, 938, 5821, 269, 1284, 4867, 798, 711, 22738, 1950, 9477, 540, 713, 538, 938, 631, 3041, 267, 649, 1832, 1919, 2241, 543, 1450, 891, 7218, 547, 3274, 1831, 7218, 538, 818, 516, 1513, 267, 945, 1995, 6645 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1806, 1031, 4719, 3631, 609, 17522, 540, 27266, 9219, 6090, 610, 7245, 540, 5061, 693, 1114, 2053, 563, 347, 27793, 25543, 18608, 728, 1475, 16256, 14148, 1475, 1240, 281, 876, 17219, 3436, 277, 281, 876, 267, 609, 9803, 717, 17239, 2157, 1475, 2008, 347, 27793, 25543, 18608, 728, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 10907, 1393, 17219, 2799, 538, 3131, 273, 6629, 270, 6629, 8983, 1475, 2008, 347, 27793, 25543, 18608, 728, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 32247, 17219, 267, 27470, 2799, 538, 3131, 273, 6629, 270, 6629, 8983, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 298, 300, 8983, 1475, 1240, 281, 876, 17219, 3436, 277, 281, 876, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 307, 16464, 640, 8519, 538, 3131, 273, 6629, 270, 6629, 8983, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 5141, 1442, 6629, 270, 6629, 8983, 1475, 307, 16464, 640, 8519, 538, 3131, 273, 6629, 270, 6629, 8983, 267, 609, 12675, 623, 289, 4306, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 289, 7356, 272, 325, 343, 11721, 343, 290, 516, 2704, 321, 8983, 1475, 24965, 1027, 17219, 267, 4389, 3940, 740, 2265, 338, 267, 12012, 6673, 4338, 10307, 1475, 2008, 25238, 21779, 630, 307, 7374, 291, 10534, 8110, 272, 296, 26501, 267, 8110, 273, 296, 26501, 8983, 267, 2281, 1475, 19102, 1078, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 267, 595, 2988, 272, 321, 272, 1475, 2008, 25238, 21779, 630, 307, 7374, 291, 10534, 8110, 272, 296, 26501, 267, 8110, 273, 296, 26501, 267, 3131, 272, 270, 8110, 273, 296, 26501, 8983, 1475, 288, 2513, 1639, 1019, 19012, 8390, 540, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 1475, 2008, 347, 13051, 15605, 314, 320, 316, 6853, 16867, 1475, 5141, 1442, 30354, 630, 5141, 330, 270, 5141, 330, 264, 8983, 1475, 288, 2513, 1639, 1019, 19012, 8390, 540, 645, 314, 320, 316, 303, 15632, 540, 595, 2988, 272, 320, 272, 1475, 2008, 21270, 850, 13811, 561, 12720, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 19102, 1078, 645, 13036, 14001, 6797, 5945, 543, 27470, 1475, 2008, 347, 2419, 565, 17965, 1090, 710, 2732, 11658, 8023, 1475, 8110, 272, 6629, 270, 6629, 270, 8110, 273, 6629, 270, 6629, 8983, 1475, 299, 739, 1019, 19012, 8390, 538, 23925, 3679, 10894, 11747, 6090, 1475, 2008, 347, 3674, 8205, 345, 728, 1475, 18933, 1170, 8983, 1475, 3674, 8205, 345, 573, 14817, 25570, 640, 693, 2098, 307, 272, 3436, 2098, 307, 280, 267, 2098, 307, 1704, 1475, 2008, 347, 2419, 3271, 9926, 2135, 1794, 821, 1475, 310, 626, 541, 14148, 1475, 13312, 19012, 8390, 538, 595, 24688, 273, 292, 272, 1860, 922, 3368, 3734, 1475, 2008, 347, 2704, 4022, 1475, 8110, 272, 6629, 270, 6629, 267, 3131, 273, 6629, 270, 6629, 8983, 1475, 27832, 11630, 547, 4568, 17219, 1475, 2008, 347, 13312, 14007, 27848, 4592, 8533, 630, 291, 2894, 10534, 5141, 1442, 332, 583, 10856, 14817, 14231, 1475, 5719, 920, 1078, 667, 2894, 10307, 543, 30091, 10892, 1475, 2008, 18871, 611, 26606, 1475, 2975, 305, 8983, 1475, 307, 16464, 640, 693, 2098, 307, 476, 279, 3436, 2098, 307, 476, 736, 267, 7222, 547, 1970, 1377, 540, 717, 17239, 693, 2098, 307, 279, 1475, 2008, 27793, 25543, 18608, 728, 568, 513, 4122, 1031, 14817, 25570, 656, 269, 769, 12676, 14148, 267, 7245, 540, 595, 5141, 275, 538, 519, 12784, 4951, 811, 17219, 982, 4218, 3603, 538, 519, 6640, 267, 519, 2799, 17219, 729, 10483, 676, 519, 9803, 646, 31154, 717, 17239, 2157, 538, 519, 12784, 1547, 26590, 595, 5141, 275, 17219, 729, 2799, 538, 3131, 273, 6629, 270, 6629, 8983, 269, 2311, 519, 476, 1321, 3620, 942, 1448, 1310, 595, 5141, 275, 2126, 267, 811, 7477, 340, 565, 725, 941, 4767, 538, 519, 6797, 8031, 540, 3131, 273, 5991, 1638, 8983, 607, 3379, 547, 3552, 15178, 630, 310, 307, 264, 8983, 267, 543, 693, 476, 2190, 554, 1310, 595, 5141, 275, 2126, 267, 811, 4049, 646, 31154, 27394, 15727, 729, 10423, 982, 602, 7018, 538, 654, 307, 8983, 269, 589, 17211, 540, 519, 3131, 273, 5444, 8476, 772, 31983, 273, 5444, 4082, 2157, 538, 519, 6797, 3056, 547, 4389, 21085, 543, 2799, 2504, 540, 6757, 595, 5141, 275, 16755, 269, 634, 9000, 540, 3131, 273, 849, 3361, 606, 2799, 4082, 540, 1849, 1442, 5444, 1547, 3131, 273, 5991, 1638, 8983, 941, 711, 1152, 6213, 547, 595, 5141, 275, 14001, 8650, 14817, 25570, 640, 267, 855, 849, 547, 595, 5141, 275, 14001, 5312, 17219, 543, 27470, 269, 595, 5141, 275, 3361, 1454, 811, 4049, 6797, 27470, 543, 15181, 646, 31154, 588, 749, 622, 1591, 630, 9391, 290, 264, 538, 544, 8110, 273, 14275, 8983, 607, 3379, 547, 654, 307, 8983, 269, 3131, 273, 5991, 1638, 8983, 17820, 1447, 4398, 538, 27470, 6571, 543, 30091, 4187, 538, 15101, 290, 269, 3690, 325, 1254, 540, 3131, 273, 524, 19091, 883, 595, 5141, 275, 7721, 12723, 15101, 290, 17468, 30091, 8417, 609, 909, 30625, 540, 519, 570, 6938, 6579, 7304, 273, 270, 11403, 276, 15202, 13374, 4586, 10907, 564, 3133, 641, 1156, 14817, 25570, 640, 849, 10525, 1019, 19012, 7648, 269, 1879, 2016, 21449, 3133, 641, 1156, 538, 519, 12784, 267, 17219, 729, 3152, 982, 602, 2016, 538, 519, 2038, 6640, 1496, 2537, 267, 476, 4375, 4940, 2311, 476, 279, 281, 876, 267, 972, 729, 1100, 3017, 540, 21449, 3133, 641, 1156, 17219, 1063, 3131, 273, 5991, 1638, 543, 654, 307, 8983, 267, 855, 693, 476, 736, 281, 876, 950, 519, 3131, 273, 4082, 568, 5207, 267, 3131, 273, 5991, 1638, 8983, 1185, 1447, 6797, 5945, 267, 609, 1447, 595, 2988, 272, 320, 273, 4082, 547, 6915, 19840, 10675, 21449, 3133, 641, 1156, 1547, 769, 1776, 1353, 267, 21449, 3133, 641, 1156, 17219, 568, 3152, 693, 14858, 527, 613, 828, 942, 630, 313, 307, 264, 1691, 982, 693, 2098, 307, 273, 267, 543, 9219, 12413, 17087, 8983, 616, 11259, 547, 519, 17219, 693, 2098, 307, 1691, 267, 609, 12675, 20008, 984, 16808, 1388, 3207, 942, 630, 303, 289, 4306, 1070, 10834, 519, 4389, 11852, 540, 21449, 3133, 641, 1156, 1547, 2422, 645, 7356, 272, 30354, 8983, 630, 289, 7356, 272, 325, 343, 11721, 343, 290, 516, 2704, 321, 1070, 519, 21449, 3133, 641, 1156, 17219, 693, 2098, 307, 1321, 729, 8519, 267, 2059, 609, 8519, 6673, 4338, 3940, 740, 2265, 338, 543, 12012, 21449, 3133, 641, 1156, 10307, 737, 27282, 630, 27463, 1078, 21191, 8566, 331, 1075, 1070, 7654, 1813, 547, 8519, 715, 4696, 15771, 268, 1097, 1729, 577, 4435, 623, 14596, 12444, 648, 2265, 848, 5444, 4082, 543, 2534, 693, 2098, 307, 1321, 267, 607, 3379, 547, 654, 307, 8983, 4586, 1103, 3131, 272, 267, 3131, 273, 12413, 17087, 8983, 267, 519, 2702, 540, 13259, 305, 14270, 663, 1019, 28845, 630, 307, 7374, 291, 264, 547, 16578, 519, 595, 2988, 272, 320, 272, 543, 595, 2988, 272, 321, 272, 729, 8476, 267, 2523, 609, 6098, 954, 8306, 540, 3131, 272, 1547, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 729, 476, 2537, 1700, 6246, 16784, 3152, 1282, 519, 3781, 942, 630, 313, 307, 1240, 264, 982, 693, 519, 1554, 942, 630, 313, 307, 277, 264, 538, 654, 307, 8983, 269, 1717, 267, 519, 1019, 19012, 8390, 538, 519, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 4082, 729, 27618, 538, 3131, 272, 671, 322, 267, 3131, 273, 671, 322, 267, 543, 3131, 272, 671, 322, 270, 8110, 273, 671, 322, 30354, 8983, 267, 11021, 602, 3131, 272, 267, 3131, 273, 543, 741, 942, 15209, 1599, 538, 519, 27266, 9219, 4103, 1199, 5573, 519, 1019, 19012, 8390, 538, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 1547, 1849, 1442, 30354, 1849, 330, 270, 5141, 330, 8983, 8959, 547, 1397, 6093, 14251, 566, 540, 13259, 305, 4082, 267, 543, 13391, 303, 630, 534, 13259, 305, 14270, 663, 264, 15632, 540, 595, 2988, 272, 320, 272, 729, 22314, 4586, 1103, 3131, 273, 6629, 270, 6629, 8983, 267, 23925, 13811, 561, 12720, 630, 9720, 299, 9984, 8114, 1027, 6797, 5945, 543, 27470, 729, 2799, 267, 2059, 609, 4679, 538, 570, 22143, 10382, 267, 570, 24427, 15512, 272, 267, 2051, 272, 10382, 267, 543, 30263, 6573, 272, 538, 561, 1392, 540, 3131, 273, 5991, 1638, 8983, 607, 3379, 547, 654, 307, 8983, 1547, 769, 3131, 272, 6629, 270, 6629, 543, 3131, 273, 6629, 270, 6629, 8983, 10480, 593, 476, 273, 260, 26601, 17965, 1090, 710, 2732, 267, 543, 5924, 11658, 8023, 630, 874, 848, 6879, 3424, 15672, 9219, 1070, 6797, 23925, 3679, 2157, 941, 2799, 267, 543, 519, 6046, 13364, 27334, 543, 623, 311, 305, 941, 15181, 267, 1927, 609, 519, 2799, 16796, 11747, 589, 4306, 2157, 267, 22566, 540, 6797, 3441, 269, 769, 891, 3131, 272, 6629, 270, 6629, 543, 3131, 273, 6629, 270, 6629, 8983, 267, 519, 27266, 4082, 540, 1883, 23925, 3679, 10282, 543, 3560, 6090, 267, 1519, 595, 2988, 278, 320, 272, 543, 715, 339, 31983, 267, 729, 4503, 4586, 763, 14817, 25570, 1761, 540, 1884, 15856, 828, 17533, 3075, 568, 8205, 345, 573, 9867, 950, 621, 729, 13950, 693, 2098, 307, 272, 267, 2098, 307, 280, 267, 543, 2098, 307, 1704, 267, 543, 519, 17219, 729, 5207, 950, 568, 8205, 345, 573, 729, 2016, 693, 2098, 307, 272, 1547, 25914, 345, 2135, 1794, 821, 568, 513, 595, 24688, 273, 292, 272, 8311, 1242, 3075, 267, 543, 922, 737, 27282, 543, 3368, 3734, 941, 12012, 609, 519, 1019, 19012, 8390, 540, 595, 24688, 273, 292, 272, 2534, 269, 634, 1871, 540, 8392, 345, 2135, 1794, 821, 3368, 3734, 538, 11919, 540, 519, 1769, 5123, 1895, 729, 3648, 3476, 982, 519, 4158, 5123, 1895, 267, 609, 606, 2333, 540, 476, 277, 31622, 32611, 18608, 345, 2135, 1794, 821, 2504, 1547, 26590, 4568, 14001, 2362, 17219, 693, 2098, 307, 1724, 982, 2098, 307, 272, 950, 3131, 272, 543, 3131, 273, 941, 3810, 6829, 269, 3131, 272, 6629, 270, 6629, 543, 3131, 273, 6629, 270, 6629, 8983, 941, 1447, 11630, 547, 4568, 14817, 25570, 640, 267, 2523, 538, 3131, 272, 14275, 8983, 269, 3131, 272, 14275, 8983, 1185, 8519, 4082, 540, 829, 2135, 529, 727, 7139, 11717, 2209, 19840, 17300, 13805, 3766, 10397, 543, 922, 3077, 6090, 1644, 547, 20188, 10307, 971, 607, 590, 516, 321, 335, 272, 267, 9761, 3679, 5348, 628, 848, 630, 293, 553, 1070, 7131, 3607, 267, 1019, 2329, 331, 16744, 1356, 565, 744, 268, 2329, 2741, 4920, 2536, 848, 476, 273, 630, 291, 326, 520, 273, 1070, 6673, 273, 267, 543, 740, 2354, 514, 1547, 769, 3119, 14817, 14231, 9678, 689, 1849, 1442, 30354, 1849, 330, 270, 5141, 330, 8983, 543, 654, 307, 8983, 267, 1019, 14007, 27848, 4592, 8533, 630, 291, 2894, 264, 13251, 30091, 543, 1591, 2669, 941, 4389, 538, 1849, 1442, 12413, 17087, 8983, 267, 4440, 1813, 547, 8519, 667, 2894, 10307, 1547, 27974, 26606, 14817, 25570, 640, 568, 4830, 540, 10894, 11852, 282, 1247, 922, 9019, 729, 1164, 693, 2098, 307, 279, 982, 2098, 307, 736, 950, 519, 646, 31154, 717, 17239, 1377, 729, 9803, 4586, 13295, 267, 19260, 540, 1019, 19012, 14251, 725, 1131, 1860, 3075, 10307, 267, 12117, 267, 543, 17219, 269, 2201, 519, 824, 1688, 267, 5061, 1223, 3077, 27266, 9219, 5444, 7215, 547, 3132, 6211, 2360, 267, 799, 786, 581, 5941, 2630, 563, 275, 269, 24391, 270, 1729, 13877, 1218, 1223, 1860, 1312, 3844, 543, 15672, 27266, 9219, 5444, 4082, 454, 763, 27266, 9219, 568, 4092, 538, 1312, 2634, 543, 15672, 8031, 1547, 634, 3844, 9219, 10605, 20447, 568, 4092, 538, 519, 24101, 571, 577, 14416, 1738, 13540, 630, 17092, 301, 264, 540, 519, 20968, 31726, 267, 1247, 519, 15672, 9219, 568, 7856, 538, 782, 15672, 8031, 269, 634, 6797, 568, 519, 1292, 15672, 5160, 896, 27266, 9219, 7939, 1496, 278, 267, 476, 279, 267, 476, 280, 4940, 24391, 270, 1729, 13877, 1218, 1223, 1860, 1312, 3844, 543, 15672, 9219, 5444, 4082, 269, 1280, 1383, 267, 631, 333, 568, 513, 1134, 8153, 5778, 1729, 13877, 656, 6721, 513, 19576, 6438, 6794, 267, 855, 621, 849, 7472, 6797, 5945, 269, 769, 606, 3801, 547, 4983, 519, 1198, 540, 631, 333, 593, 519, 3844, 543, 15672, 23234, 267, 14148, 941, 2016, 631, 333, 476, 272, 543, 476, 276, 8406, 21515, 267, 28258, 267, 1169, 476, 273, 2395, 585, 476, 272, 3923, 267, 543, 519, 20968 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1053, 286, 2755, 3173, 5749, 5889, 23717, 339, 2943, 2386, 875, 1454, 27497, 649, 616, 4535, 609, 543, 875, 1454, 27497, 649, 666, 1451, 267, 649, 798, 917, 602, 713, 5963, 1390, 16023, 666, 581, 10114, 3293, 267, 2919, 267, 543, 9415, 269, 3371, 616, 2947, 2994, 547, 1205, 3323, 912, 20797, 8026, 269, 2290, 3364, 3592, 782, 1390, 2266, 951, 723, 538, 1455, 568, 741, 7029, 547, 519, 2834, 2259, 540, 741, 5578, 610, 1148, 269, 1215, 666, 596, 4001, 519, 5578, 540, 8026, 286, 12414, 621, 883, 513, 4356, 676, 8026, 693, 519, 1482, 942, 543, 538, 519, 1482, 1747, 1169, 1554, 269, 25166, 731, 3054, 585, 8026, 9846, 269, 1656, 1305, 3853, 585, 707, 2259, 269, 769, 1082, 2665, 267, 607, 1053, 1294, 6454, 689, 8026, 267, 621, 786, 5000, 873, 547, 3136, 563, 5938, 778, 3617, 6114, 547, 22303, 269, 4658, 609, 27497, 1810, 5889, 23717, 339, 536, 1779, 693, 22303, 269, 5502, 267, 789, 1294, 873, 607, 2591, 610, 10151, 7496, 269, 1809, 875, 666, 596, 1266, 2658, 713, 14820, 286, 9796, 3007, 547, 707, 3929, 5114, 547, 22303, 12882, 11366, 2108, 543, 2119, 547, 1589, 540, 2042, 607, 13410, 547, 4194, 269, 5213, 5889, 23717, 339, 5612, 2119, 547, 4368, 22303, 543, 2152, 585, 707, 3214, 950, 789, 1831, 13347, 281, 2285, 873, 606, 4316, 547, 581, 21616, 543, 1287, 829, 572, 3164, 563, 303, 6974, 2591, 269, 8866, 723, 1100, 4316, 547, 1020, 741, 27497, 4887, 952, 789, 2760, 3068, 2591, 267, 1294, 22303, 267, 610, 3068, 14488, 269, 2755, 2591, 666, 581, 24858, 267, 20408, 873, 666, 581, 5393, 14785, 269, 1656, 952, 1053, 1810, 5889, 23717, 339, 917, 875, 547, 7157, 1935, 2591, 543, 1966, 1606, 9876, 267, 789, 849, 4465, 5889, 23717, 339, 917, 875, 547, 1246, 998, 593, 1279, 3856, 3853, 563, 301, 4669, 675, 741, 10912, 269, 3371, 5889, 23717, 338, 606, 4277, 2460, 827, 27497, 281, 621, 4667, 547, 2408, 6923, 950, 3214, 1265, 513, 6612, 585, 1945, 269, 1411, 1522, 723, 8373, 3384, 27497, 538, 513, 4819, 945, 554, 919, 4730, 14440, 267, 1247, 621, 568, 2653, 547, 1020, 27497, 538, 513, 4819, 945, 2907, 814, 513, 2648, 267, 2436, 621, 581, 2979, 267, 15472, 267, 1603, 267, 610, 4702, 269, 2755, 27497, 949, 25041, 13007, 267, 27497, 543, 13007, 1419, 979, 1688, 538, 1688, 269, 898, 568, 1454, 4443, 547, 1020, 27497, 950, 972, 568, 2907, 513, 6079, 540, 6612, 12630, 563, 26329, 6043, 269, 1306, 609, 1082, 824, 7592, 267, 6029, 3214, 513, 2203, 540, 27497, 568, 835, 540, 519, 1655, 2081, 547, 5000, 621, 269, 1403, 789, 1294, 596, 3478, 909, 1310, 513, 5821, 543, 3843, 1586, 267, 621, 786, 8300, 873, 547, 798, 519, 1482, 269, 1403, 789, 1294, 596, 2324, 4724, 1279, 3856, 3853, 5103, 22303, 267, 789, 786, 1294, 602, 1279, 3856, 4674, 1281, 2628, 1055, 269, 1403, 596, 1397, 10100, 543, 1582, 20820, 538, 17173, 2053, 267, 789, 786, 5469, 563, 8855, 281, 27497, 1917, 1115, 27497, 269, 4495, 707, 1053, 723, 519, 5578, 543, 2702, 547, 2259, 267, 789, 666, 1732, 2259, 1210, 741, 27497, 269, 4495, 789, 723, 3710, 909, 741, 2702, 547, 2743, 2591, 267, 789, 666, 11441, 2417, 543, 2362, 269, 0, 763, 772, 2529, 269, 8136, 17620, 540, 19296, 568, 538, 519, 22984, 540, 513, 5756, 17489, 4674, 547, 9108, 1232, 2174, 2153, 543, 24905, 548, 513, 2468, 334, 540, 8136, 6046, 26119, 269, 634, 1101, 851, 540, 519, 1788, 3238, 519, 3811, 632, 18586, 540, 513, 6046, 1379, 2030, 593, 4580, 513, 6928, 2443, 799, 3177, 519, 17620, 609, 2789, 2048, 1652, 976, 4121, 685, 547, 2087, 519, 1184, 585, 519, 6967, 1079, 2244, 2861, 26119, 563, 1103, 4989, 476, 4198, 278, 267, 519, 772, 2529, 269, 8136, 15181, 519, 1101, 6046, 1379, 19720, 538, 519, 2136, 2276, 602, 3177, 5201, 547, 519, 5010, 1379, 7470, 585, 606, 6905, 1974, 269, 9122, 693, 10783, 5617, 341, 7546, 538, 12876, 325, 1314, 6019, 267, 9098, 267, 1175, 454, 1607, 2022, 729, 8385, 3370, 593, 713, 3135, 0, 288, 476, 272, 269, 276, 9180, 15095, 13374, 1131, 2154, 17111, 547, 2569, 922, 1379, 5823, 779, 5434, 8515, 676, 476, 10619, 268, 8064, 260, 689, 476, 1001, 280, 1377, 676, 476, 10711, 271, 269, 634, 1648, 5823, 8309, 476, 4037, 260, 540, 17111, 779, 5434, 267, 609, 519, 17794, 779, 2671, 630, 1789, 8472, 4947, 689, 519, 1379, 5823, 563, 22416, 904, 807, 814, 476, 273, 269, 279, 28047, 540, 5755, 19206, 538, 922, 18180, 267, 16516, 547, 5372, 1232, 2174, 2153, 539, 5755, 4390, 269, 275, 1452, 4566, 1796, 538, 4334, 609, 519, 991, 547, 5123, 856, 5755, 676, 476, 10711, 276, 267, 4553, 676, 513, 5123, 13050, 540, 3154, 676, 1472, 476, 10711, 276, 547, 476, 10711, 279, 269, 5502, 267, 519, 2229, 1058, 1902, 538, 7791, 1648, 8925, 547, 2057, 4220, 540, 18843, 539, 7221, 267, 1164, 3790, 543, 3327, 9376, 538, 547, 3914, 476, 7761, 268, 10602, 260, 2671, 540, 5710, 1963, 538, 922, 1648, 5108, 563, 22416, 904, 807, 2679, 5823, 27499, 476, 1691, 260, 540, 519, 2698, 1648, 543, 476, 7871, 260, 540, 5201, 269, 4595, 476, 1220, 276, 1648, 4616, 540, 519, 2679, 5823, 814, 2799, 693, 513, 2557, 540, 476, 274, 269, 275, 260, 12422, 563, 5472, 21845, 7653, 1294, 513, 4028, 7771, 538, 1463, 2910, 8975, 480, 5434, 689, 519, 2679, 5823, 8757, 476, 273, 268, 273, 269, 276, 24398, 4596, 8975, 480, 270, 10455, 676, 476, 10711, 271, 689, 476, 1001, 280, 1377, 540, 476, 274, 269, 276, 24398, 4596, 8975, 480, 270, 10455, 267, 543, 4628, 1232, 12365, 2213, 676, 476, 14225, 280, 268, 13078, 273, 563, 4407, 17111, 779, 3560, 5823, 568, 4867, 4625, 8200, 593, 3282, 630, 7176, 260, 538, 476, 1708, 271, 1070, 476, 272, 269, 276, 9180, 15095, 11444, 1397, 4028, 18546, 2305, 540, 519, 5823, 267, 609, 5201, 2671, 540, 476, 273, 268, 1556, 260, 676, 476, 10711, 271, 543, 909, 547, 476, 6321, 260, 676, 476, 13078, 271, 563, 30025, 814, 5189, 3454, 15314, 547, 5818, 519, 19718, 540, 3167, 6472, 563, 763, 2872, 5823, 6589, 585, 519, 2034, 4102, 2671, 540, 3119, 1648, 3747, 609, 476, 2764, 260, 538, 476, 1001, 278, 269, 12729, 1648, 3747, 538, 2872, 568, 8185, 13856, 676, 8093, 10173, 267, 693, 476, 4792, 260, 538, 476, 1708, 271, 563, 272, 269, 276, 9180, 15095, 11444, 5815, 602, 519, 2671, 540, 5201, 538, 519, 2872, 1648, 3575, 1058, 2333, 676, 476, 1839, 268, 3374, 260, 676, 476, 10711, 271, 543, 476, 2568, 268, 10463, 260, 676, 476, 13078, 271, 563, 4407, 519, 2671, 540, 4853, 1184, 5434, 729, 476, 280, 260, 540, 2698, 5434, 538, 476, 1001, 280, 782, 476, 272, 269, 276, 9180, 11444, 1397, 513, 19394, 7678, 540, 1184, 5434, 689, 476, 1708, 271, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3080, 24354, 5063, 26906, 3220, 269, 19869, 592, 4432, 4149, 26359, 267, 2250, 11134, 585, 17135, 267, 855, 849, 606, 16917, 328, 6048, 676, 2866, 267, 607, 646, 568, 1582, 6709, 5875, 1456, 538, 1010, 538, 2000, 9155, 685, 25810, 538, 5839, 4861, 6019, 563, 3891, 3081, 5774, 12515, 723, 5734, 519, 4057, 9875, 2094, 519, 4098, 540, 942, 267, 543, 12909, 827, 875, 1072, 814, 1044, 19847, 538, 519, 2749, 563, 3963, 568, 24354, 513, 3905, 1606, 13607, 286, 14451, 3928, 540, 10447, 2713, 2282, 5230, 2872, 2306, 1004, 811, 11630, 547, 5046, 268, 866, 267, 609, 1004, 779, 9641, 2907, 19847, 269, 898, 779, 513, 2110, 5397, 689, 25204, 7615, 22193, 547, 25708, 267, 855, 538, 602, 1016, 7875, 267, 1272, 19104, 568, 3670, 1296, 3476, 982, 538, 519, 2749, 563, 5278, 1004, 723, 519, 5413, 540, 1373, 2111, 547, 798, 1732, 609, 1514, 26865, 269, 6424, 2983, 742, 523, 666, 1514, 3845, 593, 519, 5836, 538, 1010, 586, 25638, 269, 24354, 619, 1522, 1265, 2933, 16081, 4364, 883, 17743, 902, 609, 1082, 1866, 563, 3891, 4967, 715, 10621, 5716, 941, 2111, 547, 1205, 4152, 1247, 1072, 1416, 4600, 593, 519, 4395, 3515, 7948, 1406, 563, 13425, 856, 811, 827, 19869, 592, 779, 1007, 1433, 543, 15264, 1934, 281, 4179, 2517, 629, 7191, 3149, 26359, 2593, 13045, 9563, 24257, 3963, 568, 24354, 513, 3905, 1606, 13607, 286, 14451, 3928, 540, 10447, 2713, 2282, 5230, 2872, 2306, 1004, 811, 11630, 547, 5046, 268, 866, 267, 609, 1004, 779, 9641, 2907, 19847, 563, 1103, 519, 4975, 540, 24354, 267, 519, 6753, 609, 519, 5207, 3928, 540, 2937, 10447, 630, 1001, 276, 1239, 22434, 689, 6392, 8234, 3820, 264, 2507, 7498, 8796, 663, 519, 6753, 609, 519, 5207, 3928, 540, 10447, 6413, 3074, 585, 1453, 543, 4079, 630, 5408, 10824, 476, 1321, 267, 476, 1724, 543, 476, 1691, 2187, 2507, 907, 732, 782, 4092, 513, 9645, 3845, 689, 17335, 24354, 543, 922, 5230, 2872, 538, 824, 2694, 540, 519, 4975, 540, 24354, 563, 763, 3409, 602, 519, 5207, 10447, 3928, 616, 4092, 538, 17335, 24354, 543, 5924, 538, 24354, 23407, 476, 4366, 273, 1704, 568, 513, 2347, 21753, 267, 4683, 7242, 543, 568, 1510, 1022, 4493, 269, 5047, 267, 519, 3409, 602, 24354, 779, 10447, 1966, 568, 6140, 827, 2011, 5533, 3123, 568, 13974, 513, 21753, 1510, 1022, 4493, 538, 1857, 1072, 1239, 607, 666, 581, 2938, 689, 519, 1657, 8642, 4786, 11269, 563, 22349, 8676, 568, 513, 3818, 1922, 716, 3645, 7929, 2068, 609, 2789, 3123, 543, 12615, 908, 2188, 267, 543, 4683, 2011, 5533, 568, 1175, 835, 971, 3815, 543, 4749, 949, 711, 581, 519, 1034, 1271, 3815, 563, 307, 2454, 10447, 2550, 602, 5755, 17991, 1379, 2371, 616, 4929, 741, 10447, 1966, 950, 741, 4791, 2783, 14340, 689, 824, 267, 811, 2693, 3123, 899, 4598, 547, 9044, 267, 7452, 544, 924, 23480, 267, 11255, 2011, 5533, 267, 4620, 23480, 543, 824, 2188, 568, 2564, 543, 1857, 1072, 4731, 335, 15462, 269, 2368, 10447, 2550, 685, 2175, 1256, 8451, 689, 23441, 1965, 23569, 17406, 2068, 630, 294, 26314, 264, 610, 689, 22420, 4761, 1062, 2188, 563, 3080, 1455, 1966, 609, 10447, 568, 602, 2550, 3112, 1569, 610, 6382, 798, 711, 4309, 2834, 2564, 1416, 547, 1832, 741, 4230, 327, 15122, 2783, 896, 1852, 543, 896, 2564, 13178, 267, 3976, 3056, 547, 21472, 543, 1272, 18446, 10447, 6285, 563, 19013, 267, 519, 3377, 2923, 4667, 547, 1616, 547, 16111, 3262, 513, 2239, 602, 782, 10447, 568, 1759, 593, 2011, 5533, 607, 851, 540, 513, 2797, 24378, 2239, 602, 1281, 711, 723, 4376, 547, 798, 609, 4890, 2564, 19178, 269, 2334, 605, 743, 2032, 585, 10447, 771, 15574, 1058, 3247, 563, 32306, 513, 6085, 0, 15447, 827, 28939, 8611, 543, 875, 22085, 272, 10194, 3940, 2306, 28939, 513, 4049, 2068, 676, 4929, 15466, 13451, 543, 8710, 454, 763, 28939, 22085, 272, 3940, 568, 2219, 547, 1404, 513, 2565, 1909, 538, 4049, 28939, 2068, 2483, 11514, 2452, 539, 676, 10479, 540, 634, 3204, 757, 540, 519, 2160, 540, 4993, 269, 2353, 2924, 11603, 269, 630, 288, 27429, 14539, 31313, 994, 288, 26433, 513, 1122, 344, 696, 328, 18151, 454, 288, 26433, 513, 1122, 344, 696, 328, 18151, 267, 513, 15298, 540, 5835, 8611, 543, 28939, 563, 26469, 594, 269, 1215, 749, 267, 12463, 295, 282, 4515, 269, 7671, 16874, 2917, 19811, 14727, 550, 619, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 630, 15862, 7089, 281, 476, 4817, 274, 275, 994, 26177, 27749, 538, 891, 1644, 27429, 4930, 281, 0, 272, 910, 476, 1015, 540, 476, 2537, 4930, 454, 763, 20556, 9737, 8048, 543, 670, 5669, 728, 13405, 2090, 723, 6700, 602, 4598, 547, 1291, 568, 2404, 609, 32592, 1890, 543, 6760, 269, 17497, 267, 835, 1271, 2707, 540, 1291, 568, 23197, 1291, 5536, 269, 901, 8733, 1353, 8947, 519, 7681, 540, 1291, 9830, 538, 2011, 538, 519, 476, 25313, 272, 2483, 29020, 2414, 3313, 952, 24045, 11295, 20418, 13508, 630, 7704, 6195, 264, 585, 1312, 3237, 3379, 609, 6671, 6413, 20418, 1489, 630, 6224, 7034, 264, 10607, 519, 8653, 540, 20418, 538, 1360, 1970, 1532, 9500, 27954, 12256, 909, 547, 476, 272, 1032, 2025, 269, 17637, 305, 24655, 1242, 4693, 609, 19976, 2483, 29020, 2414, 1020, 513, 6325, 543, 4570, 2168, 2534, 9584, 2268, 585, 946, 609, 10708, 538, 3119, 1416, 5468, 269, 19138, 5071, 2171, 5342, 476, 273, 2090, 547, 6218, 519, 1449, 3146, 11687, 10727, 543, 21276, 14496, 540, 476, 277, 2582, 268, 14403, 543, 476, 274, 12432, 3800, 540, 2168, 2534, 19601, 25889, 15430, 857, 1632, 3466, 723, 1883, 6286, 585, 3790, 267, 4093, 267, 543, 1382, 267, 2943, 1906, 1239, 2291, 593, 12963, 16496, 22515, 556, 340, 696, 820, 28166, 630, 7704, 6020, 264, 3466, 543, 12205, 609, 8102, 656, 3466, 269, 29020, 2414, 4766, 13310, 3466, 585, 8102, 1218, 267, 9399, 305, 3674, 267, 543, 4999, 2483, 25889, 3849, 3421, 1417, 31331, 3928, 2611, 1970, 269, 9747, 267, 513, 1732, 1620, 540, 519, 2188, 602, 3310, 15730, 31331, 568, 2877, 269, 29020, 2414, 2708, 519, 15730, 31331, 2853, 540, 2475, 13500, 269, 17637, 543, 17553, 288, 476, 2190, 268, 14403, 5619, 544, 9229, 538, 476, 1960, 278, 547, 513, 3084, 3732, 540, 2483, 25889, 763, 14271, 541, 14821, 3340, 2829, 543, 11182, 547, 15357, 513, 1876, 10238, 1746, 519, 9042, 540, 10269, 547, 1295, 832, 543, 547, 17997, 602, 1876, 538, 513, 6073, 602, 1223, 21230, 581, 4397, 547, 6175, 519, 8244, 540, 10269, 547, 1295, 832, 269, 29020, 2414, 3313, 952, 519, 4972, 540, 2657, 543, 2483, 3519, 3667, 28095, 2090, 723, 6700, 602, 7050, 1291, 4598, 568, 1644, 547, 10728, 543, 10795, 2623, 269, 29020, 2414, 6218, 519, 7681, 1063, 6059, 2011, 1291, 9830, 543, 4630, 8336, 3928, 269, 17637, 15899, 22891, 8733, 1353, 2529, 23293, 5472, 17521, 538, 519, 733, 27631, 476, 4366, 2483, 5649, 543, 1820, 689, 5215, 540, 1283, 14046, 13746, 563, 25594, 609, 9365, 454, 14294, 909, 609, 5616, 454, 19868, 538, 609, 9786, 454, 2704, 2819, 723, 606, 2272, 286, 8298, 538, 454, 9349, 5658, 713, 2376, 269, 1411, 666, 1294, 707, 3883, 12201, 593, 707, 12213, 291, 344, 557, 7732, 563, 2414, 4688, 606, 2376, 267, 2845, 538, 1101, 267, 610, 1129, 909, 585, 513, 12213, 291, 344, 557, 2272, 952, 596, 1810, 1406, 2907, 723, 835, 563, 14294, 5455, 8298, 769, 454, 2414, 24049, 547, 4757, 25887, 267, 5225, 2845, 538, 1101, 267, 610, 1129, 909, 585, 513, 12213, 291, 344, 557, 2272, 952, 596, 1810, 1406, 2907, 723, 835, 563, 2414, 1205, 1007, 2376, 10311, 689, 513, 4760, 593, 707, 10531, 1753, 2457, 267, 5225, 2845, 538, 1101, 267, 610, 1129, 909, 585, 513, 12213, 291, 344, 557, 2272, 952, 596, 1810, 1406, 2907, 723, 835, 269, 0, 300, 1961, 9908, 12791, 538, 15622, 8932, 454, 1432, 568, 519, 2495, 540, 2262, 631, 1961, 9908, 538, 15622, 8932, 20324, 836, 5055, 15017, 30547, 540, 631, 1961, 9908, 538, 10854, 5055, 568, 2433, 11774, 355, 483, 14972, 352, 29082, 479, 630, 334, 1547, 562, 579, 994, 9377, 523, 819, 540, 2262, 631, 1961, 9908, 454, 268, 513, 1895, 540, 8444, 27433, 1927, 267, 8204, 519, 10545, 4909, 1770, 540, 513, 3114, 7623, 602, 666, 1491, 851, 538, 513, 3114, 5114, 563, 2005, 1568, 676, 7133, 513, 11140, 1572, 6491, 878, 12547, 267, 799, 21040, 1973, 8043, 563, 8448, 12791, 540, 631, 1961, 9908, 0, 1432, 568, 621, 827, 888, 2691, 649, 1589, 827, 513, 834, 18524, 257, 649, 2356, 1589, 827, 2436, 649, 3094, 610, 6336, 538, 602, 3014, 269, 1809, 538, 1272, 649, 18645, 17993, 543, 9271, 936, 942, 269, 769, 713, 1957, 649, 2307, 519, 2243, 281, 952, 5716, 616, 11231, 593, 513, 7470, 543, 1404, 4224, 1790, 1653, 27214, 19538, 609, 741, 12543, 1018, 4523, 950, 19017, 3094, 11789, 616, 1031, 547, 3310, 2104, 4640, 3903, 286, 769, 938, 2203, 267, 2950, 540, 834, 549, 4242, 257, 834, 335, 3639, 257, 543, 834, 2675, 19538, 257, 1106, 543, 875, 1346, 2950, 11457, 568, 9244, 6766, 676, 519, 3448, 8007, 585, 10888, 5288, 269, 9561, 543, 519, 12402, 540, 5716, 547, 14477, 6467, 2994, 563, 20124, 676, 22189, 22642, 5459, 593, 24296, 680, 1662, 454, 3963, 568, 621, 1271, 888, 25565, 16817, 1014, 4720, 31234, 602, 2067, 5542, 568, 9141, 676, 6735, 543, 15817, 7368, 936, 2620, 942, 267, 6721, 2249, 20102, 9862, 547, 741, 5054, 543, 1142, 824, 269, 12472, 776, 3014, 3069, 4564, 713, 1184, 3842, 630, 324, 3052, 4700, 519, 18187, 1807, 610, 18187, 1807, 2173, 583, 1807, 3830, 267, 6236, 31302, 8007, 689, 5872, 607, 519, 2268, 540, 8516, 269, 901, 1935, 267, 2705, 267, 10714, 338, 519, 2702, 540, 7103, 547, 4558, 1648, 7551, 32229, 2933, 689, 2942, 4205, 269, 2334, 568, 267, 8516, 568, 630, 514, 930, 2631, 264, 6027, 676, 2949, 3140, 1967, 607, 1134, 607, 31302, 1967, 269, 769, 713, 1957, 267, 649, 1353, 513, 8901, 12105, 3014, 7271, 602, 16621, 15817, 3842, 513, 12157, 16379, 10458, 3892, 855, 568, 25358, 676, 6740, 630, 326, 1484, 264, 3094, 11789, 267, 610, 5763, 269, 1284, 17589, 2175, 1141, 2950, 1106, 609, 1164, 5506, 543, 1353, 519, 4611, 2146, 3889, 27985, 543, 10686, 1227, 538, 835, 10155, 563, 5649, 519, 22731, 454, 1607, 2985, 568, 513, 5758, 540, 281, 7991, 5250, 538, 5763, 24975, 5687, 17871, 4640, 4720, 267, 24755, 657, 1323, 3955, 13694, 4750, 540, 6348, 15035, 3163, 267, 5239, 476, 1708, 273, 267, 1977, 4659, 540, 8212, 267, 20396, 281, 476, 1015, 269, 11793, 274, 270, 276, 269, 18089, 6795, 277, 280, 563, 2791, 666, 1224, 519, 2407, 1257, 912, 763, 1739, 723, 8329, 547, 713, 2985, 0, 1432, 568, 3940, 888, 6624, 1648, 13063, 543, 1072, 695, 1389, 14441, 875, 1454, 3940, 789, 2270, 899, 621, 781, 519, 1152, 3364, 596, 2479, 991, 269, 1215, 1271, 666, 621, 581, 267, 543, 1018, 1281, 621, 1611, 547, 723, 1932, 1454, 3940, 888, 3682, 12888, 568, 835, 540, 519, 5672, 1258, 19153, 538, 1426, 543, 568, 1336, 10876, 538, 707, 1560, 269, 2659, 1560, 3096, 3940, 538, 707, 6091, 267, 7633, 267, 543, 824, 8031, 547, 1379, 4105, 3114, 6547, 563, 7312, 1560, 3096, 1134, 936, 476, 1015, 267, 1822, 5946, 547, 1832, 707, 1560, 4881, 269, 2859, 982, 8938, 11254, 7408, 1118, 909, 1142, 3940, 267, 8370, 540, 799, 1590, 2097, 689, 1426, 1317, 707, 1560, 666, 1405, 1118, 873, 563, 1692, 1454, 3940, 798, 596, 991, 888, 763, 2626, 3884, 1405, 3551, 269, 2659, 8770, 6981, 5673, 593, 707, 2597, 267, 2085, 267, 2450, 267, 3023, 267, 543, 2534, 2157, 269, 1411, 949, 849, 7369, 707, 3940, 6981, 4470, 593, 707, 1072, 3853, 563, 2467, 616, 513, 1906, 2081, 547, 3313, 875, 1454, 3940, 596, 991, 282, 930, 2409, 723, 1114, 2164, 269, 13185, 609, 707, 4387, 585, 519, 1655, 7840, 585, 707, 1072, 563, 763, 476, 272, 268, 8784, 6697, 1505, 454, 763, 2136, 2276, 4972, 540, 11982, 630, 4785, 6395, 264, 3096, 513, 6482, 1572, 834, 272, 268, 8784, 25668, 20884, 1701, 589, 476, 272, 268, 8784, 6697, 540, 3940, 568, 3160, 547, 606, 26412, 540, 5779, 267, 16738, 267, 610, 3165, 282, 606, 4212, 267, 513, 10116, 2275, 1575, 540, 10365, 267, 610, 513, 3368, 268, 8784, 540, 10808, 563, 763, 3328, 2937, 2115, 476, 276, 547, 476, 278, 26412, 25668, 2526, 757, 540, 3940, 1169, 1554, 269, 634, 26412 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 9453, 1022, 948, 267, 18071, 1007, 5013, 835, 693, 513, 942, 1131, 1491, 6266, 540, 8193, 960, 269, 1717, 267, 7064, 547, 6641, 325, 3415, 267, 596, 666, 3274, 19074, 4540, 3009, 2966, 4481, 585, 971, 4247, 269, 3973, 267, 596, 1152, 991, 547, 21160, 621, 5594, 547, 6474, 707, 5551, 1413, 543, 1745, 269, 1215, 5863, 568, 602, 2496, 1103, 5758, 267, 1565, 827, 10850, 899, 6641, 325, 3415, 10741, 909, 11995, 7399, 538, 2870, 7317, 543, 11617, 13267, 7270, 269, 1635, 9001, 891, 7347, 2645, 3710, 2390, 4396, 13654, 4654, 899, 23285, 267, 14971, 9367, 666, 20928, 741, 3157, 267, 2569, 1761, 6959, 267, 543, 6038, 3142, 7772, 547, 6634, 540, 4950, 3755, 5001, 269, 8414, 8193, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12474, 454, 28415, 6651, 1677, 670, 790, 667, 539, 5344, 700, 4673, 767, 3763, 619, 281, 21414, 32018, 267, 13786, 4850, 267, 10341, 1299, 11310, 2986, 12752, 20226, 454, 299, 4673, 767, 568, 606, 1930, 21299, 23285, 5943, 3710, 609, 6641, 325, 3415, 3334, 269, 898, 3091, 4359, 2934, 267, 29782, 267, 631, 31357, 6189, 267, 8021, 267, 543, 2645, 585, 1646, 269, 4706, 11684, 2029, 6087, 9367, 547, 15407, 3791, 18407, 8924, 998, 5043, 725, 543, 2636, 873, 547, 2328, 543, 12575, 9479, 3362, 563, 4913, 267, 700, 4673, 767, 1646, 568, 1950, 267, 543, 596, 991, 3608, 543, 4810, 4648, 547, 6023, 922, 7965, 269, 1284, 723, 2016, 3407, 10372, 547, 948, 596, 16926, 23285, 700, 4673, 767, 9367, 609, 519, 2556, 15334, 269, 1411, 666, 946, 891, 4388, 547, 3432, 909, 17849, 543, 593, 4580, 519, 1655, 2872, 4966, 563, 29973, 31834, 1677, 6333, 6969, 18786, 634, 670, 3931, 6713, 454, 5141, 541, 1518, 2659, 20505, 454, 9928, 2100, 909, 707, 1788, 543, 1711, 513, 31387, 585, 1646, 269, 1411, 1590, 1544, 519, 1184, 21825, 543, 12172, 1788, 6859, 269, 1411, 1058, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15228, 325, 3415, 17563, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 23285, 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, 0, 6092, 5149, 281, 4675, 11915, 17796, 540, 13751, 16390, 538, 6129, 14269, 9099, 808, 9766, 1440, 28619, 281, 594, 560, 328, 30910, 338, 31488, 543, 1325, 16927, 560, 573, 331, 5953, 331, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 1079, 2565, 2035, 1369, 6129, 14269, 9099, 10883, 1440, 28619, 630, 25206, 336, 327, 2567, 568, 16210, 30910, 338, 31488, 543, 620, 268, 626, 573, 331, 5953, 331, 269, 1452, 2035, 829, 1555, 547, 25581, 2959, 540, 3656, 3652, 602, 723, 17275, 9840, 1851, 5640, 2066, 1585, 1153, 5389, 269, 1677, 1683, 2796, 267, 1577, 721, 1101, 1174, 875, 891, 3741, 3514, 1369, 519, 6626, 5943, 540, 535, 28999, 327, 780, 26422, 14269, 9099, 10883, 1440, 28619, 5097, 12346, 2390, 2185, 1292, 2959, 540, 9086, 1634, 607, 620, 268, 639, 592, 620, 268, 541, 9346, 262, 320, 269, 1358, 17663, 519, 20845, 267, 16874, 603, 630, 303, 1886, 4854, 26492, 1070, 594, 329, 2742, 262, 630, 338, 3273, 8765, 13618, 1070, 543, 1627, 12011, 553, 630, 534, 11530, 673, 7744, 1040, 1717, 267, 972, 2291, 13564, 10706, 2959, 540, 1876, 602, 4196, 607, 2798, 540, 1543, 542, 1063, 1114, 3506, 269, 5565, 971, 25581, 2959, 616, 5941, 538, 713, 1770, 281, 568, 16210, 30910, 338, 31488, 267, 610, 24787, 776, 6644, 267, 543, 620, 268, 626, 573, 331, 5953, 331, 267, 13288, 547, 15997, 610, 2963, 602, 949, 4268, 10838, 3656, 3506, 269, 1635, 3695, 519, 16082, 4478, 891, 2035, 267, 1053, 2744, 3407, 4030, 883, 519, 10848, 7915, 538, 9099, 10883, 1440, 28619, 543, 922, 4720, 2429, 1686, 780, 296, 560, 328, 30910, 338, 31488, 281, 2598, 17917, 776, 32722, 454, 29432, 4263, 922, 4295, 267, 568, 16210, 30910, 338, 31488, 4016, 547, 519, 3635, 540, 4830, 10385, 676, 11727, 9099, 29632, 1235, 950, 29270, 3209, 2152, 15534, 2312, 5583, 689, 3119, 2959, 269, 901, 1523, 2636, 5640, 547, 2015, 1857, 1719, 630, 5733, 331, 21036, 264, 543, 2057, 27465, 630, 332, 26474, 336, 336, 1695, 264, 1247, 16208, 3909, 5931, 269, 769, 9759, 267, 621, 3091, 8112, 1369, 519, 14461, 2497, 540, 2757, 9099, 1876, 780, 2162, 8466, 4886, 692, 296, 560, 328, 30910, 338, 31488, 729, 7620, 4412, 15903, 676, 26512, 12390, 604, 320, 267, 13653, 540, 519, 12390, 2378, 328, 3427, 267, 945, 5156, 602, 10883, 4621, 6699, 1058, 8415, 741, 6457, 543, 1702, 547, 12446, 693, 10257, 8753, 3823, 15458, 6927, 269, 4014, 1010, 1967, 832, 15645, 730, 1010, 18879, 267, 789, 1869, 909, 18988, 519, 1871, 540, 1210, 2123, 27790, 538, 1978, 6381, 269, 4033, 3506, 267, 16113, 1744, 2378, 328, 262, 328, 543, 5689, 5942, 267, 941, 811, 25516, 538, 16561, 568, 16210, 30910, 338, 31488, 267, 12145, 922, 3498, 1152, 1310, 9688, 532, 782, 824, 4612, 894, 2645, 780, 2162, 7073, 10241, 692, 9213, 267, 5717, 1472, 568, 16210, 30910, 338, 31488, 2611, 4143, 1813, 547, 9687, 1514, 2175, 543, 6639, 7760, 269, 1280, 3236, 267, 2055, 827, 1418, 21856, 267, 1147, 5766, 2329, 267, 610, 5841, 4987, 2154, 6297, 7156, 540, 4207, 4145, 7258, 3964, 9099, 10752, 269, 4935, 267, 568, 16210, 30910, 338, 31488, 3587, 1898, 538, 28043, 519, 7934, 1063, 8106, 535, 28999, 327, 543, 2413, 19178, 780, 2704, 16927, 560, 573, 331, 5953, 331, 281, 19577, 338, 543, 15845, 7352, 766, 454, 14343, 7042, 2704, 268, 626, 573, 331, 5953, 331, 13315, 519, 3309, 2010, 540, 15997, 1031, 676, 1114, 9099, 3656, 3506, 950, 3541, 1516, 5947, 902, 269, 2755, 1034, 15666, 547, 519, 2185, 3119, 2959, 5018, 4505, 267, 7648, 8451, 7282, 6281, 2959, 543, 2409, 540, 7664, 269, 9182, 267, 22195, 2049, 267, 3056, 547, 3982, 3656, 8369, 1851, 3506, 780, 2162, 16844, 540, 22604, 692, 10376, 2101, 1153, 540, 2219, 1765, 295, 534, 2378, 328, 267, 5689, 5942, 267, 1744, 2378, 328, 262, 328, 267, 543, 12390, 4472, 328, 1765, 13757, 2919, 2189, 4485, 2509, 620, 268, 626, 573, 331, 5953, 331, 269, 4256, 16097, 3006, 16937, 267, 2943, 1713, 3604, 6414, 269, 6201, 1331, 8795, 8456, 4724, 22232, 2853, 630, 584, 325, 1070, 2199, 2245, 630, 600, 531, 1070, 543, 12746, 673, 17429, 794, 630, 336, 12011, 553, 1040, 4197, 891, 21441, 10597, 8223, 540, 519, 3638, 13795, 540, 9099, 10883, 1440, 644, 1113, 2219, 780, 2162, 12634, 19043, 692, 18698, 620, 268, 626, 573, 331, 5953, 331, 2488, 5813, 883, 519, 12683, 1143, 7915, 1369, 6129, 14269, 5771, 269, 20876, 713, 4763, 666, 6536, 10892, 543, 8994, 2463, 1851, 13794, 540, 1114, 3506, 269, 5015, 267, 14344, 4244, 16752, 7512, 16268, 5188, 543, 9316, 538, 5466, 4207, 2591, 5185, 676, 7332, 2950, 5001, 780, 6962, 454, 29603, 7437, 6313, 568, 16210, 30910, 338, 31488, 543, 620, 268, 626, 573, 331, 5953, 331, 267, 1053, 5660, 519, 6988, 543, 3846, 1143, 540, 6129, 14269, 9099, 10883, 1440, 28619, 269, 10787, 689, 1373, 1395, 18070, 267, 519, 9015, 16621, 2789, 5380, 12082, 538, 3140, 1646, 543, 14046, 7521, 269, 12056, 609, 891, 3584, 6087, 6267, 547, 9691, 2708, 519, 1909, 540, 25581, 2959, 538, 5935, 9099, 3656, 11407, 543, 6330, 519, 6946, 5251, 540, 535, 28999, 327, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 32045, 3201, 3041, 296, 2319, 267, 2059, 609, 9683, 16159, 19869, 620, 4149, 600, 611, 32599, 16554, 267, 10356, 538, 1401, 17625, 585, 606, 12784, 540, 2542, 5931, 593, 568, 16210, 30910, 338, 31488, 538, 519, 1585, 14834, 327, 4725, 5389, 269, 589, 10872, 568, 2139, 1934, 563, 736, 628, 1107, 476, 2420, 526, 5147, 476, 1708, 273, 281, 1401, 2678, 5174, 518, 18403, 579, 23973, 19476, 331, 1257, 1759, 13186, 281, 589, 5060, 18416, 808, 22618, 17796, 281, 1325, 16927, 560, 573, 331, 5953, 331, 1107, 620, 14194, 8759, 620, 2173, 4157, 327, 2145, 2378, 535, 13682, 327, 5953, 454, 2171, 10356, 585, 1018, 786, 4440, 581, 938, 3803, 1401, 2678, 5174, 518, 18403, 579, 23973, 19476, 331, 1257, 2861, 13186, 547, 4983, 519, 865, 10777, 620, 14194, 8759, 620, 2173, 4157, 327, 2145, 2378, 535, 13682, 327, 5953, 1107, 24045, 2959, 540, 3656, 3652, 799, 616, 31713, 1063, 519, 1114, 1153, 5389, 269, 589, 2407, 10872, 568, 2139, 1934, 269, 898, 814, 1044, 513, 5458, 569, 11791, 3126, 540, 11925, 936, 519, 32045, 3201, 3041, 296, 1788, 779, 1272, 1107, 609, 513, 5458, 4015, 540, 5931, 1224, 543, 21845, 1142, 2427, 540, 519, 524, 10604, 268, 866, 6855, 269, 634, 32045, 3201, 3041, 296, 2319, 1131, 899, 547, 8831, 513, 5458, 968, 628, 1678, 596, 892, 547, 938, 9164, 538, 20588, 267, 3226, 7905, 1306, 611, 30277, 269, 1284, 4126, 938, 7214, 21769, 786, 3136, 538, 519, 2104, 538, 835, 1106, 610, 1776, 563, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 5771, 1315, 6129, 14269, 1315, 9099, 808, 9766, 1440, 28619, 630, 22380, 336, 327, 1040, 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, 0, 3848, 476, 1015, 281, 1548, 781, 5455, 609, 17510, 6513, 2496, 20756, 972, 267, 5100, 625, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 2706, 1271, 910, 4332, 1852, 269, 3767, 267, 1354, 596, 5066, 707, 4064, 543, 1589, 713, 3085, 1405, 4019, 547, 596, 2943, 630, 528, 2479, 1070, 3314, 602, 1620, 875, 938, 4703, 960, 543, 519, 5079, 649, 723, 568, 1898, 269, 9578, 267, 621, 781, 2141, 1434, 547, 581, 5483, 256, 1924, 1577, 781, 4685, 1318, 538, 780, 3383, 267, 1018, 4010, 568, 4332, 1852, 286, 15439, 2322, 267, 621, 781, 513, 1259, 547, 2061, 6379, 950, 596, 1810, 1405, 1616, 835, 269, 1703, 616, 1082, 2010, 540, 4332, 1852, 856, 972, 267, 543, 789, 782, 960, 8335, 269, 2368, 1522, 9983, 596, 256, 1809, 1101, 267, 1946, 1131, 2576, 946, 4332, 1852, 286, 4270, 267, 1934, 616, 930, 4128, 1384, 265, 1358, 5749, 1405, 4712, 547, 1831, 3237, 1175, 2943, 563, 265, 1677, 1544, 741, 1920, 2450, 543, 12557, 1732, 563, 265, 1280, 1978, 1072, 2640, 899, 14402, 5712, 610, 21757, 909, 18383, 780, 3086, 267, 1577, 781, 2911, 827, 835, 2101, 7121, 1572, 834, 327, 768, 4689, 4332, 1852, 1701, 901, 1826, 3096, 10991, 10399, 2147, 547, 1346, 1336, 6923, 538, 938, 4703, 269, 1452, 10399, 948, 3247, 28284, 630, 7474, 781, 950, 606, 4212, 4991, 5950, 264, 543, 1711, 513, 11064, 1996, 521, 704, 916, 676, 5394, 2287, 519, 22024, 1472, 519, 14677, 1460, 269, 30474, 3579, 267, 26001, 286, 2913, 781, 1413, 693, 1079, 1292, 5686, 540, 17441, 4332, 8060, 1384, 272, 269, 2878, 302, 1537, 2552, 571, 1061, 1161, 4995, 1411, 949, 723, 4862, 4079, 1289, 873, 1412, 1492, 10788, 9538, 1452, 2370, 16921, 2097, 14095, 609, 2901, 1312, 1322, 652, 514, 543, 21110, 630, 18474, 1441, 21447, 264, 610, 1152, 1322, 652, 514, 630, 2381, 328, 1790, 1571, 1040, 13689, 2390, 799, 2186, 596, 4584, 267, 789, 798, 7168, 1454, 519, 1482, 3364, 1107, 7303, 6379, 269, 1215, 4977, 616, 789, 286, 1879, 3144, 7157, 1169, 1554, 267, 891, 9002, 30107, 513, 1967, 2557, 540, 827, 476, 11152, 10065, 2334, 1797, 7864, 982, 476, 278, 856, 540, 476, 1911, 3755, 786, 1205, 9176, 1369, 513, 1032, 269, 1717, 267, 7508, 1256, 835, 1554, 666, 2539, 922, 4398, 563, 273, 269, 2878 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 694, 336, 912, 1038, 536, 31927, 3287, 2020, 825, 1820, 2891, 13765, 602, 6843, 32280, 1568, 5602, 825, 524, 815, 23030, 21698, 263, 12690, 12774, 318, 10090, 1807, 263, 1220, 876, 267, 476, 7742, 876, 4917, 825, 1354, 318, 1372, 2280, 542, 815, 524, 4318, 2211, 18045, 454, 825, 585, 1775, 538, 4351, 12774, 318, 10090, 1807, 263, 4335, 271, 267, 476, 7742, 876, 2187, 1038, 524, 31927, 9217, 994, 825, 1310, 318, 1372, 2280, 542, 815, 524, 4318, 2211, 18045, 454, 825, 7254, 640, 318, 13765, 6025, 872, 284, 322, 994, 825, 7682, 630, 29592, 318, 1372, 2280, 542, 13843, 1310, 318, 1372, 2280, 542, 2020, 825, 1820, 2891, 13765, 602, 606, 20724, 299, 3529, 781, 4463, 568, 14553, 1447, 982, 476, 272, 269, 4510, 265, 8421, 273, 18217, 266, 273, 9984, 272, 630, 11004, 715, 568, 1297, 540, 2609, 264, 5602, 825, 7682, 630, 322, 269, 19417, 3890, 2999, 476, 272, 269, 4510, 2608, 2979, 28802, 5416, 1123, 318, 1372, 2280, 542, 1341, 476, 273, 267, 476, 273, 264, 910, 476, 272, 994, 0, 1012, 10900, 268, 3721, 272, 18998, 3721, 273, 10900, 955, 268, 1012, 692, 258, 1911, 22390, 489, 28374, 28884, 27381, 510, 11210, 496, 418, 490, 479, 7430, 353, 12530, 359, 11210, 373, 12530, 486, 13200, 509, 29873, 454, 333, 4405, 1023, 815, 1496, 272, 316, 476, 2608, 476, 1911, 692, 1721, 1775, 538, 2039, 263, 273, 267, 1556, 2187, 825, 952, 562, 4405, 1023, 5157, 316, 2652, 476, 271, 912, 1038, 3136, 454, 825, 795, 815, 1775, 1341, 476, 272, 454, 825, 1247, 795, 2999, 476, 1911, 912, 1038, 952, 795, 4939, 1775, 2652, 476, 271, 912, 2018, 562, 4405, 1023, 14728, 316, 815, 476, 271, 454, 1038, 795, 6834, 476, 272, 692, 258, 3721, 273, 17958, 28374, 23989, 419, 353, 374, 419, 369, 494, 31563, 10533, 368, 25051, 351, 16583, 355, 419, 494, 484, 454, 11133, 815, 476, 273, 454, 321, 1030, 528, 19617, 815, 476, 271, 454, 6112, 1003, 2999, 476, 1911, 281, 22322, 825, 952, 562, 4405, 1023, 314, 11133, 316, 2652, 476, 272, 912, 1038, 952, 1193, 6357, 1030, 528, 19617, 1040, 345, 15640, 263, 273, 264, 11468, 272, 316, 2652, 1193, 16325, 1040, 345, 15640, 263, 273, 264, 11468, 272, 14158, 2018, 1820, 2891, 14307, 754, 284, 3269, 994, 2018, 1820, 16325, 267, 754, 284, 3269, 994, 1038, 3116, 912, 2018, 1820, 2891, 5602, 2018, 1820, 16325, 267, 754, 284, 3269, 994, 1038, 581, 1721, 19617, 815, 1003, 454, 825, 1003, 6834, 476, 272, 454, 2745, 2891, 5602, 0, 1012, 10900, 268, 3721, 272, 267, 3721, 273, 10900, 955, 268, 1012, 692, 258, 20075, 826, 12218, 28374, 420, 359, 511, 7430, 379, 20001, 376, 7430, 379, 454, 5814, 6581, 826, 12218, 692, 258, 20075, 826, 11210, 363, 12530, 358, 11210, 373, 28374, 11210, 353, 12530, 367, 11210, 373, 11210, 379, 12530, 367, 11210, 373, 30853, 29873, 454, 4302, 11900, 815, 6581, 826, 12218, 269, 20075, 826, 10797, 258, 9463, 500, 11210, 488, 24731, 7430, 501, 7430, 509, 22390, 353, 11210, 496, 24662, 11210, 490, 7430, 355, 7430, 488, 7430, 493, 7430, 509, 11210, 479, 28374, 12530, 359, 11210, 373, 12530, 486, 454, 28255, 8266, 815, 1592, 10797, 4302, 11900, 269, 5319, 28255, 263, 272, 994, 4302, 11900, 269, 5319, 28255, 263, 280, 994, 4302, 11900, 269, 5319, 28255, 263, 278, 994, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 4302, 11900, 269, 5319, 28255, 263, 274, 994, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 31156, 258, 9463, 500, 11210, 488, 24731, 7430, 501, 7430, 509, 22390, 353, 7430, 357, 11210, 373, 11210, 379, 12530, 481, 11210, 363, 7430, 360, 418, 362, 489, 7430, 352, 7430, 355, 11210, 489, 22390, 353, 454, 2745, 2891, 2437, 269, 21860, 263, 28255, 8266, 4917, 2745, 263, 4302, 11900, 269, 2414, 21803, 28829, 0, 1012, 10900, 268, 3721, 272, 10900, 955, 268, 1012, 454, 258, 6112, 24757, 692, 258, 544, 815, 476, 272, 454, 258, 2040, 815, 476, 271, 692, 258, 1247, 544, 10922, 476, 1911, 912, 258, 672, 952, 544, 4939, 476, 273, 2652, 476, 271, 912, 258, 1363, 2040, 6834, 544, 454, 258, 672, 544, 6834, 476, 272, 692, 258, 1820, 4433, 636, 9239, 1012, 10900, 268, 3721, 273, 10900, 955, 268, 1012, 454, 258, 1721, 24757, 692, 8999, 815, 476, 271, 692, 1721, 544, 538, 2039, 263, 273, 267, 6200, 267, 273, 2187, 825, 2040, 6834, 544, 692, 2745, 4433, 636, 9239, 258, 3721, 274, 7430, 363, 24662, 20693, 505, 22390, 353, 11210, 496, 12530, 355, 12530, 376, 11210, 370, 12530, 376, 24662, 20693, 505, 7430, 360, 14035, 487, 7430, 486, 11210, 489, 7430, 510, 7430, 495, 454, 258, 3721, 275, 7430, 363, 420, 485, 359, 20693, 505, 7430, 356, 0, 12163, 24927, 547, 4729, 11708, 540, 519, 1198, 540, 19003, 593, 519, 6151, 1239, 538, 476, 272, 291, 454, 12163, 5814, 26417, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 7531, 3698, 1224, 32269, 6262, 12364, 4067, 267, 1883, 4900, 2187, 825, 5727, 31262, 547, 1349, 11483, 309, 6119, 12163, 8931, 825, 1948, 31711, 8900, 1592, 540, 8638, 547, 4558, 519, 1224, 1239, 538, 454, 825, 10710, 4900, 815, 20886, 14963, 265, 6352, 31107, 4900, 994, 8931, 825, 1948, 5649, 1239, 689, 11483, 309, 454, 825, 609, 1930, 6262, 12364, 4067, 1341, 29717, 322, 12364, 3299, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 1038, 1224, 12803, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 13172, 8782, 1410, 4897, 5073, 1038, 887, 1233, 636, 284, 476, 272, 1948, 15893, 540, 4737, 538, 26417, 3758, 454, 1038, 10710, 3497, 636, 815, 476, 271, 1948, 992, 538, 10710, 4900, 602, 26417, 4737, 568, 10710, 547, 454, 1038, 585, 4737, 538, 1224, 12803, 912, 2018, 952, 887, 1233, 636, 538, 1883, 4900, 912, 3546, 10710, 4900, 314, 338, 8491, 3497, 636, 316, 815, 4737, 454, 3546, 10710, 3497, 636, 815, 10710, 3497, 636, 1341, 476, 272, 454, 2018, 887, 1233, 636, 815, 887, 1233, 636, 1341, 476, 272, 454, 27030, 825, 2132, 10710, 4900, 7531, 3698, 4729, 318, 28785, 560, 6600, 2830, 1229, 16344, 17575, 267, 4652, 2830, 1229, 16344, 17575, 2187, 825, 5727, 31262, 547, 4729, 1079, 8638, 540, 22012, 543, 4652, 2830, 1229, 1239, 1996, 1142, 824, 12163, 8931, 825, 1948, 31711, 13944, 2450, 454, 825, 2450, 815, 476, 2412, 454, 825, 12301, 269, 21683, 13640, 4461, 9131, 31320, 7456, 629, 1564, 1125, 11172, 815, 2450, 454, 825, 12301, 269, 21683, 13640, 4461, 9131, 31320, 6745, 527, 956, 1125, 11172, 815, 2450, 454, 825, 12301, 6745, 1157, 318, 1706, 4461, 263, 9471, 8782, 18485, 3299, 799, 8782, 332, 1994, 3299, 10297, 1125, 284, 21653, 268, 1015, 994, 8931, 825, 1948, 31711, 4729, 7182, 454, 825, 12301, 11859, 3916, 9230, 10384, 267, 5611, 271, 4917, 825, 12301, 269, 2643, 574, 263, 8987, 271, 269, 276, 267, 271, 269, 276, 4917, 8931, 825, 1948, 31711, 519, 1305, 540, 9343, 596, 1616, 547, 4729, 454, 825, 1318, 342, 2077, 343, 11133, 815, 476, 3066, 454, 825, 1318, 342, 2077, 2106, 636, 815, 476, 1789, 454, 825, 1318, 342, 2077, 345, 11133, 815, 476, 4029, 454, 825, 1318, 342, 2077, 331, 739, 11133, 815, 476, 3953, 454, 825, 1318, 342, 2077, 4900, 815, 1496, 2431, 342, 2077, 343, 11133, 267, 1318, 342, 2077, 2106, 636, 267, 1318, 342, 2077, 345, 11133, 267, 1318, 342, 2077, 331, 739, 11133, 2639, 8931, 825, 1948, 5649, 1312, 519, 22012, 543, 4652, 2830, 1229, 11483, 309, 6119, 454, 825, 22012, 16059, 815, 1224, 32269, 6600, 2830, 1229, 16344, 17575, 267, 1318, 342, 2077, 4900, 264, 3097, 825, 4652, 2830, 1229, 16059, 815, 1224, 32269, 263, 684, 325, 2830, 1229, 16344, 17575, 267, 1318, 342, 2077, 4900, 264, 3097, 8931, 825, 1948, 31711, 3259, 540, 1239, 547, 581, 28367, 454, 825, 1535, 815, 5286, 30784, 1052, 12759, 9230, 684, 325, 2830, 1229, 16059, 314, 271, 6012, 272, 281, 316, 21875, 8931, 825, 1948, 5522, 582, 1312, 519, 22012, 543, 4652, 2830, 1229, 1239, 454, 825, 12301, 19502, 3287, 267, 4652, 2830, 1229, 16059, 314, 271, 6012, 272, 281, 3910, 6003, 815, 1412, 4462, 325, 2830, 1229, 3299, 2681, 815, 1412, 258, 290, 271, 290, 271, 290, 271, 5073, 825, 12301, 19502, 3287, 267, 22012, 16059, 314, 271, 6012, 272, 281, 3910, 6003, 815, 1412, 293, 2830, 1229, 5073, 8931, 825, 1948, 31711, 4729, 10297, 454, 825, 12301, 26644, 3488, 293, 2830, 1229, 5288, 1133, 325, 2830, 1229, 4578, 585, 519, 2473, 19024, 540, 519, 654, 2077, 540, 23227, 1807, 667, 5073, 825, 12301, 11859, 16932, 3488, 20988, 7089, 5073, 825, 12301, 269, 29786, 3488, 303, 3789, 630, 332, 264, 5073, 825, 12301, 269, 5586, 754, 10857, 665, 815, 1412, 21639, 2451, 3299, 23935, 1125, 815, 2450, 268, 1015, 994, 8931, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 8931, 825, 4729, 318, 28785, 560, 3488, 11687, 339, 7434, 279, 331, 1075, 320, 269, 1704, 269, 274, 269, 1556, 269, 1321, 325, 2830, 1229, 305, 3633, 302, 3299, 1412, 11687, 339, 7434, 279, 331, 1075, 320, 269, 1704, 269, 274, 269, 1556, 269, 1321, 305, 3633, 302, 10807, 0, 18851, 1230, 289, 582, 630, 297, 820, 27439, 26919, 267, 476, 1708, 271, 2020, 825, 7732, 585, 15205, 543, 15025, 609, 9786, 22226, 13378, 454, 825, 14449, 538, 570, 306, 309, 1106, 780, 825, 1411, 666, 1265, 1346, 1934, 912, 825, 4179, 2517, 326, 603, 889, 2593, 8276, 2222, 7809, 20324, 582, 30395, 518, 6261, 3205, 1275, 30942, 692, 825, 1411, 666, 849, 2328, 707, 1378, 14449, 269, 3807, 2328, 513, 3758, 1141, 1142, 1899, 454, 825, 6238, 609, 513, 5401, 267, 1287, 513, 9184, 267, 1287, 519, 3210, 269, 1411, 666, 1039, 2417, 454, 825, 1344, 9674, 676, 1776, 9184, 2094, 713, 3009, 5337, 2803, 3388, 454, 825, 1310, 519, 1101, 1079, 9587, 563, 12163, 5228, 27967, 342, 340, 21424, 1104, 1184, 607, 535, 342, 2889, 322, 454, 5814, 4351, 454, 5228, 17511, 1104, 667, 1112, 267, 16515, 921, 267, 5742, 7531, 5035, 1230, 289, 582, 24998, 2187, 825, 5727, 7435, 956, 7762, 7209, 543, 6114, 780, 1038, 2433, 12407, 7209, 18316, 281, 8606, 17575, 540, 570, 306, 309, 7726, 270, 12585, 3758, 563, 1038, 2433, 12407, 2887, 3724, 8548, 612, 1137, 281, 16515, 921, 540, 6835, 547, 3442, 689, 543, 454, 2018, 2132, 950, 513, 3210, 3085, 1405, 2743, 519, 6015, 12939, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 7209, 18316, 281, 1193, 2676, 4449, 2887, 3724, 8548, 612, 1137, 281, 5742, 314, 307, 340, 921, 314, 1598, 267, 3267, 3910, 7183, 316, 815, 7183, 2187, 1038, 5727, 20472, 528, 1505, 454, 1038, 8173, 1038, 1582, 6155, 21648, 564, 815, 1230, 289, 582, 269, 2903, 7272, 3205, 1275, 9638, 3205, 1275, 18316, 994, 1038, 952, 2887, 3724, 8548, 612, 1137, 912, 2018, 1582, 269, 6420, 3724, 8548, 612, 1137, 815, 2887, 3724, 8548, 612, 1137, 454, 1038, 3116, 912, 2018, 1582, 269, 6420, 3724, 8548, 612, 1137, 815, 9497, 28989, 267, 594, 4769, 1405, 1174, 602, 1701, 2676, 14030, 8587, 834, 27745, 596, 556, 874, 19189, 602, 286, 20350, 14030, 8587, 834, 296, 6415, 711, 2386, 1018, 596, 1611, 1701, 2020, 825, 1219, 1205, 318, 24978, 4311, 267, 13214, 281, 1193, 267, 12939, 284, 3445, 267, 3181, 1872, 25716, 264, 9847, 1193, 912, 1038, 5727, 16849, 513, 5048, 538, 3210, 547, 2387, 638, 2044, 319, 1210, 519, 7209, 454, 2018, 10471, 16041, 780, 2018, 2433, 12407, 13214, 281, 634, 5048, 585, 519, 7762, 547, 4431, 547, 563, 2018, 2433, 12407, 12939, 281, 634, 6015, 1871, 538, 25576, 757, 630, 271, 268, 1911, 264, 602, 513, 454, 3546, 3210, 1590, 2743, 610, 9765, 538, 1931, 547, 581, 10268, 563, 2018, 2433, 12407, 3181, 1872, 281, 1403, 6936, 267, 519, 1655, 6474, 543, 922, 6015, 1871, 786, 454, 3546, 581, 9102, 538, 1840, 547, 3339, 5106, 780, 2018, 2433, 4958, 5281, 281, 634, 3210, 5569, 563, 1038, 8173, 1038, 5542, 267, 6015, 815, 535, 342, 2889, 322, 269, 2169, 847, 3080, 263, 638, 2044, 267, 1582, 6155, 21648, 564, 269, 12399, 15405, 1038, 952, 3181, 1872, 912, 2018, 1820, 6600, 262, 16032, 6474, 281, 2715, 572, 3005, 348, 630, 18183, 2064, 281, 2715 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2360, 540, 2518, 8337, 543, 2916, 17522, 269, 2368, 2950, 723, 1447, 1379, 547, 3247, 891, 5739, 2242, 267, 899, 1970, 13867, 3885, 610, 1346, 2713, 2282, 26130, 2127, 269, 1924, 267, 1927, 267, 649, 1590, 3717, 909, 543, 960, 2509, 6061, 891, 2042, 1247, 4180, 3025, 814, 513, 2161, 543, 2640, 8449, 780, 14945, 1012, 595, 15960, 22580, 281, 2659, 20429, 25198, 2439, 12441, 596, 917, 602, 3214, 1175, 899, 9358, 666, 948, 1711, 2318, 1689, 286, 1879, 649, 1491, 851, 538, 5717, 267, 2621, 267, 610, 1256, 2671, 938, 4555, 609, 2828, 543, 1920, 267, 649, 2259, 1018, 781, 1634, 607, 834, 322, 15960, 6278, 1701, 1284, 1831, 3742, 2818, 540, 938, 2950, 945, 960, 2509, 5355, 873, 269, 1656, 7058, 1018, 286, 3509, 4079, 1616, 547, 5873, 22400, 8369, 827, 2916, 2962, 1932, 2439, 2162, 11314, 281, 5994, 543, 9523, 692, 4131, 781, 1589, 827, 2081, 649, 666, 3565, 547, 8165, 2916, 1689, 269, 19171, 707, 4064, 543, 4605, 3054, 2921, 1507, 855, 6209, 3268, 693, 1753, 267, 1153, 267, 610, 1369, 707, 8378, 269, 9320, 596, 1223, 1376, 9657, 3292, 267, 2030, 4054, 267, 610, 13599, 9905, 827, 25137, 1648, 269, 3767, 267, 6292, 909, 609, 513, 3659, 543, 1865, 707, 2093, 269, 18461, 23518, 6616, 602, 1169, 1900, 2306, 513, 3017, 2439, 14945, 1012, 29460, 22990, 1304, 32445, 692, 2691, 5185, 609, 2591, 4448, 547, 2916, 1689, 267, 3314, 602, 2679, 30840, 2337, 721, 25483, 1394, 6793, 982, 1354, 269, 2913, 781, 2263, 1614, 1898, 30840, 7592, 281, 1582, 18221, 267, 1966, 9010, 267, 543, 5698, 780, 2162, 8682, 5025, 16346, 281, 18833, 3776, 2383, 692, 18455, 3222, 540, 938, 1378, 4606, 267, 9342, 267, 543, 7687, 2636, 721, 547, 3251, 9350, 1282, 2352, 3871, 269, 8347, 8026, 11009, 5751, 267, 971, 607, 2620, 7244, 267, 9066, 267, 610, 30998, 267, 799, 666, 2333, 1582, 18221, 780, 2971, 11644, 281, 9650, 995, 22165, 3107, 692, 306, 527, 20354, 543, 2673, 707, 4064, 269, 10312, 1152, 593, 707, 7362, 1765, 10623, 601, 922, 2067, 11733, 607, 596, 13236, 538, 543, 856, 269, 24269, 707, 2247, 18389, 619, 630, 663, 621, 786, 1070, 9900, 3391, 707, 3007, 1394, 547, 707, 7362, 269, 15566, 3257, 713, 585, 1079, 3764, 3232, 267, 2810, 942, 7930, 269, 18564, 1022, 3604, 538, 22196, 1524, 543, 9363, 5059, 780, 2162, 9046, 4149, 6295, 281, 15531, 10298, 692, 2414, 10994, 2916, 1689, 2152, 267, 649, 991, 3860, 3206, 543, 5499, 2093, 269, 16505, 1524, 1950, 2042, 883, 4130, 2694, 543, 16540, 2009, 3435, 269, 5457, 267, 972, 781, 1419, 811, 982, 835, 1259, 547, 4194, 513, 4161, 2439, 2971, 11314, 281, 11020, 10445, 532, 29140, 692, 4415, 513, 7649, 267, 3442, 513, 2199, 2825, 3390, 596, 1312, 1416, 827, 269, 3503, 1524, 782, 519, 1761, 3435, 596, 666, 1589, 540, 267, 1100, 2339, 875, 3552, 789, 1522, 3280, 256, 30850, 267, 2824, 707, 1283, 1614, 2093, 543, 13217, 873, 2417, 269, 9181, 875, 7598, 891, 3435, 1131, 1764, 707, 2146, 9797, 780, 2162, 21664, 281, 11554, 8625, 692, 3528, 24625, 908, 543, 5885, 1142, 824, 267, 649, 1628, 2178, 4296, 602, 1291, 547, 3152, 10781, 269, 12243, 1740, 7586, 5809, 1367, 9739, 543, 5932, 513, 7104, 3196, 14957, 585, 2916, 5126, 780, 2971, 6828, 5741, 281, 5269, 513, 16338, 5403, 518, 692, 1103, 6887, 540, 2185, 267, 1374, 513, 16968, 8716, 2146, 9525, 538, 5466, 2916, 1689, 269, 3962, 1268, 1058, 3142, 2189, 1983, 610, 5380, 267, 5807, 5698, 269, 18224, 19297, 1472, 1153, 543, 2228, 547, 8300, 1866, 547, 6443, 707, 2014, 2439, 14945, 29310, 267, 1577, 781, 946, 938, 16012, 1620, 540, 2916, 5126, 267, 1020, 938, 30840, 1983, 267, 543, 4497, 538, 18523, 2962, 547, 2149, 938, 4541, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 16867, 1744, 11232, 267, 6115, 3557, 8274, 540, 7991, 543, 14502, 5441, 454, 1607, 2376, 2488, 513, 24117, 543, 2200, 585, 3450, 2916, 5126, 543, 18523, 6278, 2066, 519, 13241, 6437, 538, 454, 298, 268, 1321, 543, 2362, 2069, 269, 898, 6799, 513, 15520, 17841, 1935, 547, 13241, 3450, 543, 1565, 602, 7740, 1514, 5126, 2152, 16109, 689, 2916, 5222, 267, 543, 1648, 10868, 543, 1646, 2238, 267, 609, 513, 1445, 593, 29355, 543, 12581, 3435, 543, 3527, 269, 901, 1935, 8992, 13241, 21195, 602, 6338, 1514, 5126, 2152, 883, 519, 4928, 607, 606, 7127, 1448, 585, 14236, 519, 2152, 1210, 13241, 269, 589, 1514, 5126, 1935, 2636, 1053, 547, 1118, 2495, 540, 7493, 543, 19635, 13241, 1702, 543, 1983, 998, 1483, 8996, 2152, 13988, 609, 741, 4690, 267, 2833, 267, 9163, 267, 543, 2950, 269, 769, 713, 2376, 267, 649, 1683, 2200, 585, 3450, 13241, 998, 2916, 5126, 543, 18523, 6278, 602, 616, 1373, 15217, 2919, 676, 2516, 538, 12984, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 7763, 643, 1049, 1299, 6184, 2869, 1049, 1315, 26504, 8490, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 2878, 16215, 476, 277, 281, 6478, 6361, 5336, 1926, 16373, 4373, 5331, 596, 1175, 4718, 519, 1034, 5863, 9059, 1397, 267, 2407, 540, 6909, 15361, 543, 24668, 602, 2451, 596, 28617, 2394, 707, 5011, 10413, 256, 1306, 4166, 607, 596, 3893, 1753, 267, 945, 1131, 596, 2995, 827, 713, 9735, 1995, 286, 1411, 1522, 1289, 707, 1655, 3659, 267, 6494, 513, 5048, 547, 707, 1920, 1895, 10004, 267, 610, 1256, 2022, 827, 621, 593, 1514, 2923, 269, 901, 2067, 20882, 547, 2671, 938, 2833, 609, 1866, 568, 1634, 607, 2262, 6361, 2173, 1926, 6725, 269, 898, 781, 3532, 1317, 1004, 4043, 547, 3972, 7840, 689, 2828, 267, 1920, 267, 543, 29872, 1734, 811, 982, 1022, 824, 1106, 540, 10229, 780, 3086, 267, 4952, 952, 596, 941, 4881, 602, 9059, 1397, 269, 1215, 1223, 596, 5000, 5304, 2818, 899, 596, 547, 3262, 519, 2262, 827, 741, 1390, 1995, 286, 2334, 781, 1141, 2262, 6361, 2173, 1926, 2608, 1598, 1538, 625, 265, 2097, 883, 1404, 269, 1635, 2870, 12300, 8090, 1282, 519, 1397, 267, 3246, 5140, 6075, 3028, 267, 543, 1818, 621, 2653, 585, 1004, 547, 2671, 741, 4555, 267, 4213, 666, 2333, 2318, 18388, 543, 3142, 538, 1007, 5561, 780, 4131, 781, 1413, 693, 930, 2081, 547, 4019, 891, 2994, 538, 1483, 1272, 1384, 272, 269, 8073, 6490, 22789, 16474, 757, 281, 6056, 1394, 547, 519, 9059, 1397, 1383, 269, 1548, 1500, 621, 1796, 856, 286, 12984, 972, 513, 2027, 8945, 602, 14281, 3025, 286, 2107, 6148, 519, 4012, 6509, 1705, 1945, 6397, 543, 2186, 585, 2576, 538, 519, 5304, 286, 1452, 2189, 267, 2671, 762, 8090, 1711, 2984, 602, 1004, 786, 6923, 1616, 547, 2911, 827, 609, 1866, 780, 1103, 1870, 2474, 267, 649, 1289, 891, 834, 339, 1779, 12153, 1701, 589, 2911, 9594, 568, 513, 1114, 11868, 4183, 610, 2259, 2966, 547, 6952, 1004, 1055, 9856, 267, 6028, 513, 9434, 12705, 543, 11121, 6643, 269, 1280, 3236, 267, 17677, 21698, 676, 23664, 2023, 20730, 2709, 14538, 3636, 12897, 2390, 12625, 1107, 513, 2241, 23972, 602, 2306, 8436, 1745, 10950, 543, 15874, 1247, 4758, 873, 1945, 17175, 547, 1865, 609, 1866, 780, 273, 269, 5548, 1853, 4934, 9227, 21436, 6796, 281, 1879, 5561, 723, 11108, 2833, 267, 789, 2811, 1454, 811, 2693, 547, 4363, 513, 1587, 610, 3028, 547, 1866, 269, 1924, 875, 798, 596, 1683, 1283, 27677, 577, 6075, 3028, 286, 3371, 616, 1614, 1883, 2798, 1384, 320, 269, 19415, 5402, 547, 1174, 1142, 6075, 781, 2115, 563, 321, 269, 2142, 7874, 267, 5363, 267, 543, 3461, 950, 5466, 4145, 563, 322, 269, 3619, 519, 3063, 13304, 8164, 2009, 1107, 9670, 543, 10508, 532, 5561, 5932, 2178, 14017, 543, 7512, 4687, 780, 2690, 1383, 267, 2098, 1952, 657, 267, 606, 2228, 21489, 10685, 518, 267, 2488, 9058, 6075, 3028, 998, 922, 1863, 11288, 1312, 2081, 267, 6905, 2132, 3609, 267, 543, 6131, 6049, 1489, 2319, 269, 4256, 7029, 547, 6126, 6300, 11825, 2164, 538, 9118, 2318, 8039, 543, 3277, 23552, 780, 274, 269, 5269, 19457, 14168, 281, 7053, 267, 4213, 991, 547, 4894, 7496, 602, 2061, 1004, 689, 6158, 827, 741, 2472, 610, 2533, 269, 2368, 2500, 2409, 1331, 1384, 320, 269, 11559, 5955, 593, 7270, 267, 1514, 2923, 5867, 267, 610, 2689, 4609, 563, 321, 269, 20644, 15314, 585, 13288, 2828, 267, 971, 607, 10958, 9479, 610, 12600, 9388, 563, 322, 269, 2422, 6216, 539, 814, 6255, 4711, 547, 796, 1518, 7391, 2066, 1585, 9055, 780, 288, 2754, 1572, 700, 2313, 15328, 27027, 1281, 713, 1134, 269, 1358, 6133, 29586, 23815, 2472, 543, 8362, 4497, 609, 741, 11655, 593, 17749, 1210, 1808, 814, 6255, 4711, 269, 11426, 619, 2648, 2921, 6337, 540, 10477, 8602, 23038, 535, 714, 4506, 2476, 538, 519, 8685, 543, 11090, 3101, 700, 2313, 267, 10451, 5214, 32398, 543, 8716, 1761, 18046, 547, 2119, 856, 741, 1187, 3688, 780, 3528, 6220, 891, 3741, 883, 4948, 4205, 267, 4213, 666, 7148, 883, 519, 1379, 540, 2262, 6361, 2173, 1926, 6725, 543, 1332, 28354, 269, 1656, 3314, 267, 1985, 942, 596, 1294, 606, 14222, 1404, 267, 2972, 513, 8949, 7594, 267, 610, 3605, 606, 6909, 1433, 267, 1810, 1405, 7340, 547, 2671, 707, 15131, 609, 1866, 1107, 596, 2760, 917, 4171, 1554, 596, 1522, 6505, 523, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 4312, 8854, 547, 865, 1082, 2982, 538, 519, 2063, 1906, 1296, 630, 628, 3471, 547, 1250, 8004, 23136, 1070, 602, 594, 666, 1405, 1832, 3950, 540, 873, 782, 269, 1703, 3884, 1405, 2614, 942, 547, 2141, 2328, 513, 2689, 610, 5758, 267, 855, 693, 2547, 594, 1616, 547, 1832, 513, 2594, 540, 1018, 594, 4312, 1044, 3257, 269, 1975, 334, 8814, 10332, 910, 594, 3513, 1419, 4766, 519, 10678, 540, 519, 1404, 269, 1809, 1287, 594, 1589, 602, 519, 4214, 540, 513, 2731, 1434, 1404, 568, 835, 799, 568, 4502, 7487, 7466, 563, 303, 4631, 616, 585, 835, 1268, 543, 1331, 9204, 543, 4388, 538, 8225, 9489, 269, 634, 7305, 540, 12937, 568, 693, 519, 5377, 563, 2304, 19278, 6601, 1777, 23765, 7574, 1397, 267, 5310, 513, 3524, 601, 547, 6307, 7377, 335, 1231, 269, 634, 1915, 4408, 616, 519, 3312, 4408, 267, 2943, 621, 4667, 6004, 269, 24434, 1121, 20047, 519, 3312, 6307, 7377, 335, 1231, 607, 1010, 562, 15967, 269, 7102, 3118, 267, 519, 3237, 616, 24401, 4979, 519, 1453, 543, 1919, 616, 3478, 856, 540, 1852, 563, 763, 1397, 6238, 609, 519, 6602, 540, 3808, 543, 575, 698, 3022, 2777, 5234, 267, 3843, 547, 1205, 2150, 1221, 269, 634, 855, 2401, 814, 547, 5577, 936, 547, 519, 7450, 547, 1577, 538, 519, 2384, 17507, 609, 519, 556, 10864, 1228, 1453, 538, 6287, 269, 2986, 1576, 267, 6723, 24434, 543, 554, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17504, 6361, 5336, 1926, 16373, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 16373, 1315, 5564, 850, 767, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7839, 3007, 267, 519, 1007, 2451, 267, 519, 563, 26596, 5112, 630, 6577, 658, 540, 2596, 2924, 547, 17051, 264, 320, 2101, 24888, 547, 519, 3540, 2112, 267, 713, 538, 519, 8087, 2829, 6565, 689, 2962, 538, 3210, 547, 519, 3540, 2924, 3350, 267, 855, 7022, 705, 12646, 13274, 11181, 781, 31414, 605, 17474, 3217, 1198, 269, 1809, 519, 9371, 540, 602, 1554, 28815, 543, 2799, 2442, 1489, 585, 519, 3540, 2924, 3350, 538, 519, 3275, 543, 1296, 602, 4553, 267, 519, 15292, 5280, 2844, 269, 4728, 568, 12926, 519, 3923, 950, 1053, 543, 3610, 2263, 519, 3540, 2924, 3350, 607, 851, 540, 741, 2090, 538, 7819, 1686, 519, 12779, 344, 4099, 781, 269, 0, 1607, 1957, 593, 519, 2591, 540, 6107, 630, 684, 9984, 7694, 538, 579, 326, 7701, 568, 581, 8045, 547, 2232, 519, 1699, 7694, 2591, 941, 269, 15272, 13864, 568, 519, 13864, 540, 1762, 1004, 267, 3989, 676, 519, 8087, 6082, 607, 512, 23439, 543, 25367, 2069, 1131, 948, 2232, 519, 1983, 6433, 930, 2477, 1107, 1851, 873, 2220, 15909, 267, 519, 2121, 615, 4133, 267, 2206, 12940, 11783, 12910, 6107, 13864, 543, 1514, 771, 1263, 1771, 3136, 547, 4161, 3609, 15670, 547, 1020, 3811, 543, 4264, 7459, 563, 22013, 1853, 532, 1689, 281, 4872, 543, 519, 6107, 13864, 4161, 1519, 1582, 31193, 630, 7918, 829, 1298, 264, 1966, 6061, 630, 6078, 829, 1298, 264, 543, 10182, 547, 269, 769, 21562, 267, 519, 11668, 1554, 1058, 2285, 721, 606, 4316, 547, 2232, 2565, 7694, 2591, 267, 2523, 1851, 519, 6107, 1256, 1498, 269, 968, 1492, 4161, 540, 6107, 13864, 568, 31903, 676, 519, 1249, 602, 476, 3445, 260, 968, 5466, 6107, 13864, 4061, 7125, 585, 5647, 27260, 312, 1926, 13864, 568, 5667, 565, 15344, 1510, 5466, 1412, 11445, 603, 797, 262, 827, 6061, 6107, 13864, 723, 1419, 4767, 519, 4161, 540, 269, 589, 5108, 693, 7196, 281, 5466, 519, 2518, 6107, 13864, 6433, 543, 8744, 4195, 3435, 547, 519, 1158, 781, 7887, 2591, 269, 2871, 5875, 2465, 1164, 6107, 13864, 568, 513, 4161, 2220, 539, 523, 8843, 609, 1034, 824, 2220, 539, 880, 4346, 267, 5466, 1312, 7293, 543, 7814, 673, 2591, 513, 269, 18601, 519, 2591, 540, 1426, 3354, 543, 6107, 13864, 538, 5045, 21562, 998, 2244, 6963, 4507, 7493, 5045, 21562, 781, 2250, 3609, 540, 32044, 269, 1133, 655, 7877, 7341, 616, 3274, 711, 2462, 2614, 547, 2232, 519, 7525, 4161, 540, 1804, 4336, 2816, 5137, 1732, 30015, 1762, 1004, 609, 519, 1318, 563, 11328, 1613, 281, 14656, 519, 1983, 7934, 547, 2232, 6107, 13864, 7694, 2591, 616, 711, 1152, 547, 798, 609, 519, 2179, 540, 6009, 2813, 267, 855, 849, 609, 519, 269, 2290, 540, 519, 1034, 10296, 2042, 585, 575, 327, 3570, 568, 6157, 13864, 519, 1158, 4871, 630, 1001, 277, 264, 5359, 602, 476, 4366, 260, 540, 31655, 538, 575, 327, 3570, 616, 269, 2991, 1296, 540, 6454, 267, 6107, 13864, 568, 1305, 547, 4473, 538, 476, 1001, 277, 538, 21365, 6107, 13864, 2591, 693, 519, 2199, 543, 3084, 269, 18601, 519, 6107, 13864, 4161, 281, 3486, 4245, 4121, 602, 666, 581, 3730, 585, 2849, 665, 1723, 28114, 1659, 1794, 340, 533, 699, 4275, 269, 1677, 581, 4023, 267, 519, 1888, 540, 519, 1079, 6377, 5870, 568, 968, 344, 1926, 7694, 538, 519, 3390, 540, 6107, 7694, 538, 21562, 7283, 513, 4105, 4161, 585, 519, 563, 272, 4367, 476, 277, 476, 273, 6107, 13864, 7341, 538, 562, 12342, 281, 4879, 476, 1015, 602, 1281, 15073, 682, 547, 2232, 519, 6107, 13864, 4161, 269, 476, 1789, 7341, 547, 2232, 6107, 13864, 476, 1724, 7121, 540, 968, 18431, 538, 267, 1101, 856, 892, 610, 3068, 2591, 1373, 22921, 1851, 519, 2324, 4057, 269, 15223, 781, 7887, 4604, 24578, 7566, 547, 2232, 6107, 13864, 543, 2069, 519, 3435, 547, 938, 6107, 13864, 4161, 991, 547, 581, 269, 1403, 649, 666, 3927, 2232, 6107, 13864, 267, 711, 1152, 786, 649, 12740, 6634, 540, 5045, 12869, 753, 856, 540, 6710, 267, 855, 649, 786, 849, 581, 2111, 547, 1747, 269, 634, 22406, 9588, 540, 519, 6107, 7694, 4161, 814, 7930, 11579, 3603, 519, 1857, 781, 649, 1616, 547, 2232, 1883, 11051, 267, 2523, 14519, 543, 563, 11754, 7675, 6107, 13864, 998, 1480, 2924, 12820, 262, 14540, 543, 3486, 23356, 657, 547, 4161, 519, 10220, 540, 269, 1677, 1445, 593, 5466, 1483, 13864, 561, 652, 8739, 268, 3255, 543, 2591, 3070, 2864, 4540, 2591, 267, 3255, 543, 2994, 267, 543, 269, 18601, 2038, 1153, 6028, 543, 6107, 13864, 281, 2034, 799, 9607, 519, 4161, 540, 8739, 3491, 32216, 5610, 540, 1762, 269, 1215, 891, 2950, 2232, 713, 4161, 1223, 3337, 519, 2104, 540, 5499, 1514, 11639, 5466, 519, 6107, 7694, 563, 763, 3483, 540, 713, 2376, 568, 547, 2263, 519, 4161, 540, 13864, 1851, 519, 6107, 538, 32650, 5984, 543, 547, 4983, 875, 6437, 666, 581, 556, 2000, 1933, 539, 547, 1118, 621, 269, 8490, 1055, 540, 1099, 657, 2925, 781, 1995, 543, 4245, 689, 922, 6107, 5752, 538, 7532, 21562, 267, 649, 616, 7700, 547, 6061, 519, 4161, 540, 563, 763, 2518, 22631, 4721, 585, 32014, 6107, 1982, 6663, 547, 2333, 519, 2308, 1464, 540, 6107, 538, 519, 5663, 5823, 543, 547, 2333, 519, 7535, 540, 13007, 269, 25550, 3609, 5943, 547, 2232, 6107, 13864, 519, 25680, 2591, 543, 1390, 3255, 602, 6107, 1459, 538, 21562, 269, 634, 1267, 540, 713, 29373, 568, 513, 8978, 1297, 540, 32014, 6107, 609, 713, 1297, 538, 2247, 267, 519, 2518, 4161, 540, 2551, 2208, 786, 540, 1164, 6107, 13864, 543, 771, 523, 325, 13361, 1047, 618, 616, 711, 9619, 267, 4872, 269, 1496, 4338, 17928, 7709, 734, 316, 0, 4537, 6832, 1353, 3391, 454, 1607, 1353, 3391, 543, 1102, 4919, 585, 13275, 12335, 781, 15567, 3780, 32614, 2709, 5758, 543, 2079, 593, 4798, 267, 6698, 267, 543, 824, 5339, 3457, 1336, 538, 519, 1257, 2263, 1576, 5869, 781, 5399, 540, 3332, 2326, 267, 1519, 6054, 543, 7117, 261, 320, 8424, 269, 769, 16664, 267, 13275, 12335, 781, 13357, 827, 1379, 267, 20440, 267, 13587, 527, 267, 543, 12638, 267, 519, 1614, 26734, 2062, 339, 749, 16664, 781, 4473, 547, 4622, 540, 1085, 582, 1633, 855, 849, 4412, 1127, 344, 602, 2104, 15438, 786, 13956, 689, 7333, 31309, 267, 513, 8284, 7952, 23071, 2889, 323, 4765, 676, 1010, 16529, 7385, 267, 14799, 16664, 267, 646, 15294, 619, 4622, 546, 684, 4754, 267, 3587, 4622, 267, 543, 15920, 24271, 523, 2456, 547, 6146, 7333, 31309, 543, 1010, 14930, 269, 13206, 527, 513, 12335, 538, 2648, 1353, 3391, 4267, 267, 596, 666, 4647, 873, 538, 7824, 3898, 689, 938, 3896, 2596, 3758, 3898, 602, 666, 581, 22434, 543, 2845, 593, 2390, 3875, 3457, 596, 666, 18985, 713, 1210, 707, 26099, 267, 5672, 267, 16979, 267, 19545, 5467, 610, 16335, 269, 9956, 4535, 538, 24469, 538, 476, 14444, 275, 267, 13275, 12335, 729, 513, 31075, 267, 10564, 267, 543, 7654, 519, 1034, 4583, 5856, 267, 2479, 693, 2547, 476, 4343, 4249, 267, 476, 5611, 5067, 26506, 267, 543, 1079, 2239, 9954, 723, 1044, 11911, 547, 1864, 267, 543, 1010, 4249, 723, 1044, 12261, 883, 811, 982, 476, 2004, 4654, 563, 9359, 4974, 12335, 1353, 3391, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 932, 2084, 585, 513, 544, 1749, 28026, 3781, 521, 5326, 1353, 3391, 13275, 12335, 3134, 889, 1433, 798, 596, 2731, 991, 713, 19545, 540, 513, 544, 1749, 28026, 3781, 521, 5326, 1353, 3391, 13275, 12335, 3134, 889, 1433, 621, 3217, 803, 476, 1240, 3108, 1175, 547, 1265, 519, 1318, 4647, 3095, 267, 543, 1776, 476, 275, 3108, 547, 19472, 621, 4950, 1223, 581, 15280, 269, 7392, 540, 960, 15567, 3780, 32614, 568, 513, 3942, 13357, 1298, 1359, 593, 519, 26923, 540, 519, 2140, 1915, 543, 519, 31774, 543, 2669, 540, 519, 6205, 540, 519, 18272, 1231, 267, 22415, 639, 14697, 639, 1317, 12335, 1759, 519, 12416, 593, 3140, 2621, 267, 621, 949, 849, 581, 5219, 547, 607, 513, 1686, 1404, 563, 291, 18769, 1353, 3391, 519, 13357, 540, 15567, 3780, 32614, 676, 13275, 12335, 2868, 339, 267, 678, 710, 28496, 543, 3094, 8725, 554, 2117, 22620, 25231, 2144, 2754, 3610, 1210, 12416, 1353, 3391, 281, 519, 13357, 540, 329, 592, 3780, 32614, 949, 12416, 1353, 3391, 281, 519, 13357, 540, 15567, 3780, 32614, 269, 901, 1353, 3391, 568, 2966, 547, 581, 606, 7317, 5360, 2939, 547, 7819, 5716, 16222, 779, 2504, 540, 13275, 12335, 779, 15567, 3780, 32614, 519, 2179, 540, 1344, 2139, 827, 13275, 12335, 543, 1010, 1568, 568, 11566, 267, 865, 713, 3391, 568, 711, 5921, 547, 581, 513, 3102, 2707, 2864, 267, 621, 568, 513, 269, 634, 4930, 538, 891, 1353, 10274, 616, 711, 5921, 547, 11604, 610, 4612, 1022, 1880, 24299, 693, 519, 2588, 1695, 12335, 13037, 789, 616, 5921, 267, 3079, 267, 547, 581, 606, 3872, 17259, 11325, 1448, 547, 1620, 543, 11981, 519, 1404, 630, 514, 1022, 2504, 693, 1022, 16222, 264, 513, 3787, 811, 8499, 269, 9956, 781, 18296, 6045, 609, 9735, 1353, 759, 537, 637, 18296, 1353, 3391, 5225, 1294, 519, 1292, 2985, 585, 519, 2347, 1404, 609, 28706, 4967, 585, 1142, 6429, 4367, 547, 18296, 18296, 281, 1966, 1404, 543, 20947, 13357, 519, 18296, 543, 1566, 3559, 807, 1016, 7120, 563, 19365, 12335, 729, 513, 4583, 7005, 31075, 543, 10564, 1010, 1034, 4583, 4249, 1331, 281, 18296, 267, 21604, 543, 20246, 267, 29165, 642, 267, 544, 1749, 28026, 781, 3781, 5326, 267, 543, 16664, 20130, 4249, 723, 1044, 12261, 883, 1169, 2101, 1893, 543, 616, 5340, 811, 1419, 982, 1346, 540, 1022, 824, 31075, 269, 901, 1353, 3391, 786, 1445, 3007, 593, 519, 2702, 2157, 540, 1053, 267, 543, 1808, 2238, 267, 4901, 2055, 267, 543, 952, 519, 4798, 540, 12335, 781, 16664, 616, 8268, 538, 1447, 1950, 3332, 267, 3226, 2413, 3332, 609, 1762, 2937, 3197, 267, 1053, 786, 269, 634, 2347, 1568, 540, 13275, 12335, 630, 30457, 264, 568, 606, 554, 559, 13895, 9542, 540, 519, 536, 731, 779, 13977, 268, 5722, 4249, 4843, 609, 1256, 811, 554, 559, 13895, 14046, 6085, 2456, 676, 519, 2278, 540, 968, 328, 2648, 269, 9956, 781, 15567, 3780, 32614, 6045, 267, 689, 707, 11967, 12335, 2707, 269, 9956, 1353, 10274, 1934, 596, 786, 1265, 513, 2143, 2079, 540, 5697, 4249, 267, 1519, 1344, 593, 519, 2101, 3197, 543, 4798, 267, 1353, 2055, 267, 14391, 725, 267, 543, 519, 26974, 3740, 1686, 540, 1142, 12416, 563, 4537, 6832, 1353, 3391, 454, 13014, 2631, 540, 13275, 12335, 781, 5929, 1404, 609, 2407, 1353, 4967, 267, 1519, 3197, 267, 4729, 267, 4798, 267, 1883, 10207, 267, 1271, 10530, 543, 6700, 1353, 2055, 10002, 871, 519, 10848, 540, 12335, 609, 519, 18913, 1257, 547, 713, 1404, 910, 4998, 585, 1053, 543, 5640, 540, 782, 6502, 269, 5530, 3391, 585, 12335, 779, 5067, 26506, 12335, 781, 5067, 26506, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 269, 19151, 543, 20246, 4044, 1807, 568, 513, 2347, 2228, 1353, 3391, 547, 12335, 781, 21604, 543, 20246, 946, 621, 547, 1174, 519, 4729, 267, 3197, 267, 543, 4798, 5299, 10530, 585, 707, 1557, 563, 268, 5261, 12335, 779, 21604, 543, 20246, 676, 1148, 9996, 795, 338, 556, 539, 267, 943, 323, 4367, 2429, 713, 1353, 3391, 3007, 786, 581, 2016, 547, 519, 2702, 1377, 540, 519, 1053, 267, 543, 1808, 2238, 267, 4901, 2055, 267, 543, 3584, 786, 581, 13042, 607, 547, 7411, 563, 268, 5530, 3391, 585, 18296, 18296, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 827, 18296, 563, 2026, 728, 689, 18296, 779, 4651, 267, 12335, 779, 1034, 4583, 15293, 338, 1331, 602, 540, 15567, 3780, 32614, 538, 519, 13357, 15567, 3780, 32614, 543, 7333, 31309, 538, 16664, 1312, 540, 891, 269, 634, 12335, 21102, 518, 676, 575, 776, 3109, 6229, 4901, 3391, 476, 272, 2995, 513, 2370, 827, 530, 3805, 543, 1010, 1272, 530, 3805, 729, 4535, 538, 476, 11260, 278, 543, 5030, 538, 606, 29152, 720, 609, 5134, 816, 5672, 326, 2958, 528, 269, 16840, 540, 522, 13791, 12335, 13037, 2069, 2813, 519, 968, 1001, 278, 1353, 3391, 585, 15567, 3780, 32614, 892, 891, 10372, 941, 2966, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2047, 269, 0, 2274, 1430, 11529, 543, 12404, 1740, 723, 1044, 13736, 585, 5553, 267, 3246, 5159, 543, 29048, 609, 513, 11684, 5420, 585, 2870, 6198, 543, 16560, 3688, 269, 1879, 621, 2501, 547, 14446, 1818, 267, 16463, 543, 12404, 2709, 2189, 3255, 547, 2263, 27724, 543, 5935, 2553, 602, 1267, 538, 10058, 267, 835, 6361, 8584, 29292, 4773, 269, 901, 1576, 1770, 12538, 883, 1585, 2409, 267, 2645, 267, 543, 2326, 2404, 609, 16463, 11529, 543, 875, 891, 2609, 4019, 547, 4207, 6752, 14446, 1374, 269, 3414, 3946, 6823, 3785, 543, 7811, 5717, 267, 1053, 786, 2744, 606, 7071, 585, 519, 7499, 1761, 7915, 538, 16463, 543, 554, 1938, 1247, 3384, 1983, 602, 5512, 873, 547, 4739, 22192, 267, 4264, 267, 543, 3466, 23293, 17960, 780, 8867, 1430, 17943, 281, 9537, 267, 19120, 885, 267, 543, 19369, 454, 24801, 13430, 6524, 11362, 883, 1808, 16463, 11529, 2553, 4143, 547, 14446, 5137, 267, 621, 781, 1898, 547, 1174, 1114, 2010, 540, 16463, 338, 2139, 543, 741, 9757, 7907, 269, 28871, 8246, 16463, 338, 1331, 10448, 2389, 10165, 16463, 267, 669, 4435, 2389, 10165, 16463, 267, 647, 27827, 267, 543, 16678, 32675, 899, 32613, 1807, 610, 13131, 269, 3962, 1826, 3091, 3982, 4162, 5078, 585, 1880, 3156, 282, 4061, 267, 8939, 3617, 16463, 585, 513, 1788, 3340, 6297, 7156, 1759, 593, 5551, 15312, 267, 15006, 267, 8112, 267, 543, 9403, 780, 5629, 6074, 267, 8600, 986, 3369, 728, 610, 8237, 16463, 3322, 1896, 3268, 267, 1519, 7738, 267, 13204, 7992, 267, 5969, 267, 543, 21352, 532, 269, 7743, 7041, 5849, 3811, 27724, 543, 5935, 3157, 1524, 519, 1899, 269, 4841, 1590, 1451, 547, 2708, 519, 2298, 540, 741, 2326, 267, 2697, 1022, 20541, 687, 267, 543, 2308, 1655, 2853, 585, 8497, 543, 7393, 16463, 10286, 3270, 998, 1585, 14555, 5574, 780, 300, 13783, 9828, 281, 22911, 4813, 532, 5288, 269, 16959, 1744, 12686, 454, 14343, 15365, 10521, 3119, 4485, 1827, 16463, 11529, 2553, 6964, 538, 14446, 2504, 281, 6632, 8108, 543, 3819, 5935, 269, 5637, 2409, 6556, 11141, 2164, 4470, 593, 519, 5497, 6364, 267, 2943, 1142, 7569, 1808, 5773, 543, 2645, 1115, 780, 2162, 22911, 4813, 532, 692, 310, 564, 8108, 14122, 2893, 584, 908, 16463, 609, 1216, 2394, 726, 4192, 2614, 547, 13861, 1472, 28633, 610, 3029, 269, 1635, 7311, 3002, 1282, 713, 1184, 267, 1053, 17108, 7509, 10338, 543, 5000, 11103, 547, 6001, 2417, 267, 3850, 3152, 8897, 538, 8236, 1950, 5546, 269, 4495, 4646, 267, 519, 4062, 1058, 581, 2451, 3768, 626, 32328, 2394, 4628, 12015, 1765, 520, 799, 1448, 267, 922, 3337, 3587, 8628, 780, 1607, 4480, 18327, 2523, 3730, 950, 5958, 908, 5214, 3029, 6273, 676, 2470, 630, 324, 3052, 1421, 6978, 18305, 264, 610, 7493, 9380, 1116, 2609, 8506, 5730, 22441, 269, 1677, 2327, 15325, 543, 2061, 25305, 267, 5265, 5701, 543, 9738, 6632, 268, 11526, 16463, 13144, 11677, 1139, 548, 8112, 5103, 11826, 946, 780, 2971, 8865, 5530, 281, 12634, 2274, 1430, 4035, 601, 787, 5071, 619, 22034, 22911, 4813, 532, 692, 17637, 518, 9291, 2549, 6199, 9727, 11108, 15334, 538, 6632, 8108, 2553, 267, 4749, 6220, 873, 883, 1010, 3134, 11345, 6003, 781, 1164, 15134, 1569, 800, 10070, 269, 3571, 5499, 1935, 20502, 6946, 22762, 1845, 6913, 998, 4274, 12879, 540, 14927, 2989, 16463, 267, 4611, 538, 11617, 11495, 543, 6643, 268, 793, 1746, 3948, 4773, 780, 256, 314, 289, 650, 2549, 6199, 2274, 1430, 4858, 576, 2280, 28488, 10059, 2517, 328, 269, 19112, 584, 2593, 30819, 304, 333, 298, 329, 294, 345, 27970, 994, 265, 289, 650, 2549, 6199, 2274, 1430, 4858, 576, 2280, 910, 12005, 11905, 17041, 1496, 265, 321, 650, 600, 6199, 2593, 265, 28488, 10674, 2517, 4178, 12500, 650, 600, 6199, 2593, 270, 2020, 2162, 16959, 1744, 12686, 692, 291, 787, 5935, 267, 598, 14287, 267, 1281, 711, 4125, 10962, 1216, 883, 519, 1570, 1354, 2324, 621, 269, 5502, 267, 1053, 7048, 593, 7463, 1688, 2645, 267, 544, 24548, 267, 22827, 267, 10523, 267, 543, 2046, 525, 547, 18836, 1106, 543, 2497, 5196, 16463, 6810, 269, 901, 1505, 561, 1742, 3294, 1134, 547, 27101, 267, 12166, 6272, 6353, 676, 2973, 3515, 543, 8325, 7285, 780, 13349, 3819, 5935, 2553, 1331, 2377, 1601, 532, 267, 3181, 1601, 532, 267, 5884, 24408, 1154, 267, 18176, 267, 24208, 267, 543, 6316, 18138, 269, 29923, 891, 13654, 1983, 6087, 1053, 547, 4020, 1785, 12147, 3280, 543, 11617, 13267, 3334, 7533, 547, 3803, 14446, 15885, 780, 2971, 7464, 21509, 7151, 281, 11633, 268, 11900, 18944, 2274, 1430, 595, 32332, 676, 24138, 9410, 692, 9209, 16388, 24138, 9410, 10905, 4853, 15312, 609, 2757, 16463, 11529, 2553, 538, 1010, 4015, 540, 796, 1047, 343, 524, 32332, 269, 1635, 16107, 3819, 5935, 2409, 267, 646, 5932, 12050, 267, 8766, 2065, 6898, 12082, 538, 8856, 4702, 543, 15568, 23477, 269, 2983, 6248, 3270, 5309, 9822, 622, 5347, 7252, 267, 5373, 3007, 547, 17804, 26088, 543, 20020, 15070, 11029, 7648, 538, 2681, 5493, 22863, 780, 256, 314, 305, 12505, 9410, 2274, 1430, 595, 4428, 28488, 10059, 2517, 328, 269, 19112, 584, 2593, 270, 308, 6858, 297, 290, 313, 332, 26666, 994, 265, 305, 12505, 9410, 2274, 1430, 595, 4428, 910, 12005, 11905, 17041, 1496, 265, 1115, 344, 2593, 270, 3333, 641, 24250, 12505, 32354, 6597, 1470, 265, 28488, 10059, 2517, 4178, 269, 1115, 344, 2593, 270, 3333, 641, 24250, 12505, 32354, 6597, 1470, 2020, 18204, 1674, 540, 10049, 281, 26157, 2274, 1430, 609, 19045, 22020, 454, 32458, 19567, 2414, 21592, 16463, 14446, 3564, 6671, 6788, 267, 10128, 14911, 2326, 2488, 3606, 3860, 7399, 269, 13018, 267, 4496, 3334, 2709, 7347, 7293, 1489, 1247, 4946, 3308, 1719, 998, 17804, 18282, 543, 4778, 269, 15019, 17285, 31126, 1331, 21567, 267, 7601, 267, 11956, 267, 8988, 267, 4154, 267, 543, 16243, 5374, 780, 2691, 9256, 19635, 2923, 267, 1697, 28455, 3788, 14063, 269, 15316, 16345, 8069, 7520, 5150, 4296, 1063, 16463, 543, 4496, 267, 4180, 9434, 6617, 2429, 519, 1272, 4783, 540, 513, 8737, 1587, 269, 6201, 540, 2500, 14398, 1161, 1331, 3346, 9160, 267, 3134, 20293, 759, 1231, 267, 543, 2166, 8457, 659, 787, 17218, 1350, 1132, 269, 3958, 267, 7344, 3728, 523, 902, 899, 678, 633, 1206, 267, 575, 668, 332, 1115, 267, 3750, 7410, 267, 543, 25135, 1683, 4244, 1797, 540, 17516, 2789, 6106, 1927, 1510, 13461, 14311, 593, 3114, 7554, 780, 3528, 3695, 10659, 540, 16463, 543, 4496, 267, 1053, 4228, 741, 7499, 6863, 543, 11349, 606, 9450, 5578, 1305, 10858, 2066, 3309, 14446, 6163, 543, 11964, 269, 5015, 267, 17634, 7512, 5647, 267, 11319, 6302, 540, 1018, 13054, 2757, 16463, 11529, 2259, 1369, 4207, 8658, 780, 6962, 454, 29603, 7437, 538, 3829, 6514, 540, 27724, 543, 5935, 2553, 3844, 547, 16463, 11529, 543, 12404, 1740, 267, 1053, 10536, 3407, 1702, 30343, 3811, 14446, 2504, 269, 22716, 1944, 1312, 7811, 8223, 543, 4052, 3498, 11942, 1646, 540, 2565, 3206, 5759, 7258, 15889, 21941, 269, 11086, 267, 2502, 609, 891, 3741, 16877, 14971, 9858, 547, 18390, 6330, 6422, 8916, 540, 2413, 1569, 800, 2528, 1247, 7700, 6209, 1568, 5483, 676, 3140, 9551, 775, 543, 4464, 23302, 5075, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23114, 1242, 14446, 267, 971, 607, 12311, 26204, 543, 6278, 14034, 267, 616, 10475, 538, 741, 1378, 2924, 269, 634, 2123, 5905, 2306, 873, 3063, 2027, 267, 3226, 950, 789, 616, 835, 540, 513, 2186, 543, 2966, 9003, 609, 519, 649, 13145, 538, 2247, 269, 1717, 267, 621, 779, 849, 2009, 547, 8831, 713, 1482, 2027, 4743, 585, 835, 779, 824, 4773, 540, 14446, 269, 634, 1883, 568, 13215, 543, 6616, 519, 2553, 543, 2326, 1031, 547, 1118, 14446, 267, 865, 596, 666, 1711, 707, 1378, 563, 8005, 3081, 596, 3112, 1711, 14446, 286, 769, 519, 1101, 1747, 267, 14446, 568, 711, 3908, 547, 1175, 10475, 10007, 543, 8407, 269, 22960, 14446, 267, 799, 568, 3989, 607, 519, 2186, 540, 14446, 602, 568, 538, 1899, 609, 519, 5767, 3466, 538, 519, 2872, 269, 1452, 616, 519, 5686, 540, 14446, 602, 666, 581, 2653, 547, 1118, 267, 543, 1131, 4324, 689, 2123, 1436, 269, 3502, 1152, 666, 596, 3575, 543, 6474, 1978, 2326, 267, 855, 596, 666, 849, 2097, 909, 609, 6272, 602, 786, 979, 609, 707, 4948, 856, 22327, 563, 2252, 596, 2461, 4058, 547, 1205, 883, 519, 14446, 6194, 1870, 267, 610, 1175, 8049, 827, 14446, 6194, 2326, 606, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 9828, 1315, 2274, 1430, 1740, 1299, 31674, 1740, 1315, 631, 13783, 543, 1744, 12686, 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, 0, 7689, 281, 4197, 7991, 5516, 543, 8081, 692, 5970, 596, 2479, 1336, 3054, 538, 513, 9157, 3510, 1141, 596, 2877, 930, 3063, 948, 286, 9320, 707, 1920, 729, 2469, 998, 513, 2352, 942, 20019, 267, 610, 5310, 596, 941, 7231, 609, 513, 2123, 3390, 602, 1500, 621, 2182, 585, 596, 547, 1445, 593, 707, 2090, 269, 4438, 2053, 899, 891, 267, 2348, 1569, 547, 2146, 1416, 543, 1489, 666, 1118, 513, 2462, 3017, 780, 1432, 568, 7991, 5516, 543, 8081, 630, 6717, 301, 25145, 14343, 13430, 26322, 1416, 543, 1489, 4016, 547, 3292, 543, 2533, 2966, 547, 948, 1004, 950, 789, 2811, 6849, 4101, 3871, 269, 1452, 2591, 1223, 581, 4376, 689, 2883, 7965, 547, 2790, 1072, 4145, 269, 2311, 922, 4295, 267, 16671, 301, 6663, 547, 1683, 7525, 6351, 543, 2200, 547, 1346, 538, 991, 267, 5807, 513, 2631, 540, 10362, 1369, 519, 2146, 780, 2162, 6206, 22020, 540, 16671, 301, 692, 2971, 9608, 13555, 543, 681, 1952, 677, 692, 1103, 1022, 2146, 267, 2679, 2178, 3347, 1063, 2043, 568, 1898, 269, 901, 1523, 849, 10039, 547, 16671, 301, 269, 1635, 8716, 1930, 2792, 543, 3972, 1851, 2818, 267, 649, 3715, 513, 11215, 3060, 602, 2636, 721, 547, 2697, 1346, 8506, 6351, 16425, 269, 1280, 1383, 267, 3610, 693, 1153, 949, 5469, 952, 513, 2875, 4667, 14129, 610, 10010, 27268, 269, 1358, 666, 1287, 2709, 5583, 267, 19015, 267, 610, 1921, 873, 609, 3606, 2200, 2139, 998, 519, 1153, 781, 16671, 301, 1982, 780, 2971, 7731, 6441, 833, 5113, 692, 288, 22205, 5790, 2337, 6536, 2318, 4296, 1063, 2818, 540, 513, 2146, 269, 3807, 899, 3885, 1413, 856, 585, 1142, 824, 267, 2950, 8853, 950, 3025, 7959, 12595, 543, 6462, 269, 589, 7874, 267, 8537, 4259, 5849, 602, 1100, 835, 8813, 998, 519, 18015, 267, 3850, 2043, 547, 1745, 6899, 5275, 948, 1282, 3843, 2053, 780, 2971, 595, 2130, 9177, 692, 17730, 513, 14637, 1604, 3322, 6029, 6568, 2509, 1866, 262, 2833, 543, 1373, 8348, 547, 22937, 513, 4543, 1688, 269, 1879, 3506, 3895, 513, 12391, 2528, 267, 1053, 1451, 3407, 4245, 827, 8296, 267, 6043, 267, 543, 16542, 269, 2290, 1259, 713, 4249, 856, 1522, 4125, 12180, 2508, 24597, 2621, 547, 4217, 15032, 7680, 2883, 23434, 1813, 547, 27644, 6381, 780, 2162, 6201, 540, 16671, 301, 15789, 692, 2080, 616, 1079, 3879, 13577, 1806, 540, 875, 16671, 301, 2488, 2629, 5351, 547, 1053, 1384, 272, 269, 2878, 26296, 26859, 30868, 4995, 6884, 267, 6397, 9276, 8451, 602, 2322, 1713, 8833, 593, 513, 1920, 781, 6578, 269, 1403, 513, 6068, 835, 10596, 2476, 267, 3587, 12517, 2192, 267, 610, 4991, 13676, 267, 2564, 12014, 666, 3533, 1039, 909, 269, 3958, 267, 2816, 2530, 610, 4389, 2324, 3108, 1813, 547, 5007, 2188, 666, 1291, 547, 4049, 2883, 11605, 269, 1677, 13468, 930, 540, 519, 11411, 267, 16671, 301, 3091, 2883, 6351, 547, 14718, 1053, 267, 4180, 789, 723, 3160, 3255, 547, 8011, 5103, 741, 1699, 6381, 563, 273, 269, 2878, 28770, 11765, 30868, 4995, 12769, 31531, 267, 18002, 4755, 602, 2154, 7525, 3007, 543, 2962, 269, 4841, 945, 1995, 6727, 16839, 949, 6560, 14156, 267, 15508, 267, 543, 9308, 1247, 10188, 1950, 2152, 269, 2060, 519, 6595, 10325, 267, 11727, 1053, 666, 4309, 2110, 3856, 13075, 1489, 547, 3382, 2596, 2115, 2394 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 593, 269, 8074, 281, 649, 10081, 1039, 595, 2129, 327, 781, 29980, 10500, 559, 5573, 3009, 630, 4596, 295, 295, 264, 547, 782, 856, 20129, 29980, 25103, 563, 23742, 614, 676, 10794, 2637, 516, 454, 23742, 614, 676, 10794, 27484, 454, 258, 910, 476, 272, 10794, 454, 1724, 13329, 514, 1564, 281, 589, 1122, 529, 681, 574, 454, 4462, 16225, 519, 5168, 543, 5490, 883, 513, 476, 273, 291, 5011, 322, 13764, 7045, 10023, 32154, 1148, 543, 5054, 269, 3973, 267, 6370, 519, 737, 2967, 9857, 538, 3728, 19550, 267, 1283, 16365, 8396, 269, 11426, 1125, 519, 13329, 514, 1564, 609, 606, 19070, 531, 540, 803, 577, 338, 3726, 14049, 787, 267, 543, 4339, 547, 9718, 8103, 2336, 5575, 7591, 281, 476, 1708, 271, 270, 1556, 270, 6349, 454, 288, 910, 476, 1691, 10632, 454, 9590, 281, 634, 24622, 333, 1756, 28567, 910, 715, 597, 341, 3570, 19541, 454, 6124, 569, 22190, 31212, 7981, 32652, 631, 714, 25431, 543, 1200, 3642, 7649, 589, 756, 320, 616, 25461, 547, 4194, 519, 29737, 21009, 10610, 17626, 737, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21357, 15331, 566, 717, 821, 654, 3994, 257, 607, 851, 540, 834, 11227, 1315, 774, 18115, 619, 1315, 6481, 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, 0, 6092, 5149, 281, 1133, 24286, 519, 27405, 625, 540, 19606, 692, 8702, 267, 1762, 17701, 256, 5192, 4712, 547, 7832, 593, 606, 6909, 3460, 607, 649, 4685, 883, 835, 540, 519, 1158, 781, 9510, 2984, 910, 19606, 267, 519, 1101, 1433, 540, 519, 6426, 269, 901, 1433, 814, 1044, 6594, 543, 19644, 585, 5215, 540, 1296, 267, 8876, 3407, 4245, 827, 938, 2250, 267, 945, 649, 616, 267, 543, 1141, 649, 2097, 689, 269, 1924, 10544, 707, 14165, 673, 3172, 4328, 4837, 543, 1577, 781, 19586, 930, 4241, 13655, 1927, 2439, 1262, 8512, 476, 272, 281, 1548, 5678, 9894, 14088, 28423, 286, 2878, 692, 5331, 5870, 2576, 945, 14753, 513, 4625, 1114, 1893, 1107, 596, 9327, 1406, 1174, 1142, 824, 693, 782, 256, 3767, 4952, 1373, 9800, 811, 982, 476, 276, 267, 1822, 1296, 3516, 950, 972, 941, 15991, 1022, 3838, 4654, 269, 2334, 1590, 723, 1044, 3833, 513, 4161, 256, 18623, 1419, 4898, 1018, 1893, 1004, 899, 14088, 12038, 269, 898, 7012, 1406, 2296, 267, 5053, 267, 13495, 18288, 267, 610, 1022, 2413, 1893, 649, 917, 2221, 269, 5502, 267, 789, 4440, 28078, 1210, 3504, 4654, 899, 12355, 610, 589, 18769, 545, 269, 1717, 267, 1100, 835, 6487, 585, 2386, 1317, 1346, 4654, 7960, 936, 942, 269, 3807, 1589, 267, 952, 649, 1223, 1451, 713, 968, 14140, 892, 1480, 1893, 267, 875, 1454, 4443, 1131, 621, 581, 547, 5968, 609, 3025, 1472, 721, 31841, 1262, 8512, 476, 273, 281, 25478, 7982, 3973, 1765, 26123, 4569, 2878, 692, 13043, 3884, 1406, 1175, 2338, 282, 621, 779, 849, 827, 3270, 543, 6698, 269, 4658, 538, 13400, 2053, 4769, 1406, 2328, 1524, 2338, 519, 1259, 649, 798, 1631, 269, 1358, 1031, 5022, 3079, 256, 1280, 1383, 267, 538, 12355, 267, 513, 548, 874, 6719, 476, 272, 267, 914, 11542, 585, 476, 273, 267, 575, 574, 601, 5921, 476, 274, 267, 543, 865, 593, 269, 2052, 596, 1294, 1946, 1620, 891, 9479, 1522, 948, 721, 21264, 1256, 4587, 5931, 286, 5994, 6061, 13410, 2854, 538, 5728, 1297, 4654, 1169, 1554, 256, 1215, 3579, 1131, 602, 581, 2496, 1262, 8512, 476, 274, 281, 5808, 12984, 25424, 1299, 3571, 8262, 23874, 286, 2878, 692, 2791, 949, 723, 4862, 8941, 540, 25424, 2679, 606, 818, 330, 543, 17005, 513, 7372, 6360, 609, 1010, 1920, 543, 2831, 269, 1809, 1705, 596, 917, 602, 1082, 12206, 3494, 646, 2965, 11478, 286, 2755, 3877, 4268, 1063, 3909, 5931, 543, 3621, 4681, 267, 1312, 3858, 593, 835, 3364, 281, 1703, 2731, 729, 513, 5458, 2518, 14700, 2680, 1472, 476, 23310, 271, 7460, 256, 16329, 5505, 3136, 20857, 909, 2963, 5885, 1585, 2694, 540, 713, 1650, 267, 1818, 621, 1447, 540, 513, 7242, 543, 811, 899, 1686, 4947, 9800, 1318, 1354, 938, 4064, 780, 1262, 8512, 476, 275, 281, 20770, 1014, 18975, 1299, 7731, 3171, 644, 338, 2878, 692, 30706, 1185, 513, 2462, 4661, 609, 16254, 610, 30980, 286, 4270, 267, 4605, 2348, 971, 22195, 609, 19421, 540, 14077, 1310, 9561, 3388, 538, 513, 9649, 6360, 256, 962, 10105, 256, 2991, 25424, 779, 6360, 267, 2687, 547, 19606, 267, 8103, 6836, 31811, 1927, 538, 513, 1747, 1572, 645, 8475, 855, 3323, 19163, 1586, 269, 1677, 2061, 873, 689, 4929, 14784, 267, 2696, 11821, 741, 4633, 267, 3056, 547, 2789, 4654, 543, 22502, 6082, 2066, 3047, 269, 14675, 5432, 286, 3509, 10236, 5505, 2303, 1945, 2147, 5949, 538, 1483, 1272, 267, 12270, 7239, 543, 26354, 2686, 4763, 780, 1262, 8512, 476, 276, 281, 17714, 540, 9478, 2878, 692, 24137, 4464, 1896, 5481, 2663, 267, 649, 2743, 9478, 267, 4171, 9058, 9661, 3217, 1864, 689, 8474, 547, 1379, 538, 5527, 269, 5620, 596, 4810, 6397, 23538, 538, 707, 1378, 1272, 2943, 286, 5457, 267, 3006, 14488, 666, 1291, 547, 30493, 269, 1635, 9363, 14388, 998, 23434, 267, 9478, 5555, 10710, 9118, 2729, 1282, 513, 4049, 26380, 267, 6029, 721, 519, 2956, 540, 16177, 543, 13916, 780, 1262, 8512, 476, 277, 281, 589, 3212, 2131, 20553, 9147, 3798, 1746, 9828, 2878, 692, 3086, 12997, 267, 11049, 6054, 3322, 18111, 1154, 1913, 610, 5220, 593, 513, 2780, 5496, 269, 1809, 1018, 827, 950, 31163, 525, 5206, 3003, 2835, 676, 1688, 286, 15448, 5921, 9308, 2144, 2084, 610, 4946, 1007, 13504, 269, 21452, 2614, 267, 3173, 4362, 4505, 8747, 540, 519, 19606, 1257, 5627, 13581, 3604, 3379, 547, 519, 3803, 5299, 269, 1452, 7648, 2709, 10881, 827, 875, 3504, 15769, 5249, 29367, 547, 8190, 10723, 12591, 1247, 5355, 9355, 543, 11007, 585, 2104, 5481, 780, 1103, 3932, 267, 3695, 19606, 10741, 9885, 547, 1732, 1620, 938, 11937, 267, 4529, 267, 2979, 1949, 267, 4654, 267, 543, 811, 269, 1306, 649, 5490, 4514, 267, 3314, 602, 1082, 2055, 2611, 796, 753, 26833, 267, 3850, 4055, 585, 7279, 267, 7521, 267, 543, 2417, 1382, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12812, 1934, 547, 4585, 513, 3381, 593, 519, 1101, 3184, 540, 19606, 454, 8512, 476, 272, 281, 17291, 519, 5678, 1975, 7505, 676, 14088, 630, 15132, 320, 476, 20542, 271, 7460, 994, 8512, 476, 273, 281, 3245, 14088, 547, 25424, 267, 5463, 5317, 9147, 10606, 454, 8512, 476, 274, 281, 17291, 25424, 543, 519, 4279, 24627, 630, 15132, 320, 476, 23310, 271, 7460, 994, 8512, 476, 275, 281, 3245, 25424, 547, 9478, 267, 519, 22684, 540, 645, 8475, 630, 15132, 320, 476, 27543, 271, 7460, 994, 8512, 476, 276, 281, 17291, 9478, 538, 5527, 630, 15132, 320, 476, 29214, 271, 7460, 994, 8512, 476, 277, 281, 9147, 3798, 1746, 540, 519, 19606, 7956, 454, 288, 2147, 3801, 547, 1305, 19606, 538, 922, 1697, 2796, 666, 581, 1336, 1934, 563, 263, 12812, 593, 2592, 585, 741, 2707, 543, 2796, 1344, 8094, 257, 7049, 8412, 2437, 519, 5259, 2140, 540, 519, 1101, 1433, 540, 519, 6426, 267, 1797, 834, 25899, 2437, 834, 10594, 514, 2437, 610, 834, 19689, 1701, 634, 3883, 540, 19606, 814, 5645, 602, 2140, 2479, 2094, 621, 729, 8385, 12261, 689, 12355, 883, 5259, 267, 1394, 1282, 519, 3791, 543, 2034, 5553, 1354, 2441, 269, 4595, 5259, 729, 519, 1893, 538, 1455, 946, 676, 519, 2038, 4168, 5783, 267, 519, 20029, 340, 698, 842, 610, 700, 18958, 630, 1492, 1034, 1455, 5259, 4528, 540, 519, 6196, 11620, 264, 2968, 519, 3044, 6426, 1031, 676, 519, 2038, 5939, 4651, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 11028, 18590, 6472, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 589, 1066, 1405, 789, 899, 6517, 610, 18114, 1031, 676, 519, 4108, 547, 2263, 543, 5531, 1344, 827, 741, 14763, 2496, 8334, 281, 22549, 256, 1358, 2097, 538, 1114, 5546, 543, 7306, 267, 855, 741, 1292, 3804, 568, 2141, 547, 948, 7980, 917, 1018, 781, 2469, 593, 1472, 873, 269, 9877, 540, 899, 950, 649, 946, 938, 21891, 547, 1085, 719, 856, 519, 1655, 1747, 585, 513, 17552, 5371, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 1175, 899, 875, 649, 2638, 856, 2789, 11614, 1354, 14045, 1141, 547, 723, 938, 16152, 267, 11028, 18590, 6472, 798, 1945, 2147, 585, 519, 4108, 269, 2334, 2306, 2631, 2439, 8334, 281, 8786, 267, 4010, 256, 1656, 3006, 267, 1346, 6472, 991, 547, 979, 1055, 268, 5802, 610, 998, 11315, 1768, 23230, 267, 1318, 286, 3807, 899, 938, 21891, 666, 6023, 18162, 543, 6371, 344, 2127, 780, 7692, 281, 9406, 256, 1809, 5749, 1405, 972, 930, 2731, 2462, 11028, 18590, 6472, 1932, 286, 6145, 3283, 602, 616, 5458, 543, 4163, 6266, 540, 7980, 2496, 8334, 281, 25999, 256, 2368, 540, 873, 1522, 1256, 1413, 899, 21772, 610, 18114, 269, 1358, 666, 3560, 10136, 543, 7727, 1247, 849, 11018, 1271, 9623, 269, 898, 781, 782, 827, 1373, 5423, 543, 6616, 1018, 781, 6619, 780, 7692, 281, 24439, 803, 4898, 1862, 1215, 798, 789, 6430, 799, 1826, 540, 6174, 547, 946, 585, 1142, 5692, 286, 1772, 621, 1175, 1759, 593, 2450, 610, 616, 972, 824, 2188, 2496, 8334, 281, 4279, 2243, 256, 1703, 616, 2965, 1896, 2188, 789, 2015, 267, 899, 519, 14099, 267, 3845, 267, 1297, 540, 7980, 3238, 267, 543, 1256, 519, 4365, 2175, 269, 1280, 1383, 267, 952, 789, 2503, 544, 28854, 9897, 267, 789, 1522, 3442, 513, 6174, 609, 1434, 20086, 780, 7692, 281, 13259, 267, 594, 1294, 269, 1924, 1175, 899, 875, 649, 5957, 28890, 10887, 1282, 24925, 2395, 267, 519, 4108, 23297, 3617, 6472, 1759, 593, 519, 3510, 780, 8334, 281, 1411, 3893, 621, 256, 5871, 2631, 4249, 513, 1909, 538, 1312, 2665, 269, 1635, 3206, 6619, 543, 6236, 1585, 2188, 267, 649, 1118, 1732, 5079, 269, 6787, 621, 781, 7446, 31321, 610, 8939, 513, 11028, 18590, 6174, 267, 7041, 6927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8967, 29107, 676, 23140, 298, 13639, 1530, 908, 17290, 454, 1556, 4873, 476, 2641, 269, 681, 7709, 8092, 681, 1478, 13639, 476, 3707, 279, 1107, 476, 1708, 272, 269, 17796, 2673, 547, 645, 2969, 26950, 2464, 303, 19781, 2303, 602, 808, 6938, 568, 14656, 922, 8092, 681, 1478, 13639, 10406, 607, 621, 1281, 711, 3514, 538, 609, 519, 2048, 5882, 685, 540, 1699, 909, 2344, 6472, 269, 8092, 681, 1478, 13639, 729, 3964, 4166, 1310, 519, 10022, 476, 272, 4682, 883, 2504, 630, 763, 15503, 19927, 547, 5397, 593, 513, 3703, 8136, 10022, 476, 272, 264, 543, 4682, 593, 547, 3761, 936, 476, 14096, 11439, 4229, 2066, 519, 1158, 269, 769, 602, 942, 1082, 14726, 941, 3812, 971, 607, 519, 476, 277, 9943, 277, 9995, 2590, 5069, 476, 13670, 543, 476, 10219, 3631, 543, 519, 476, 16928, 674, 290, 267, 519, 4102, 8092, 681, 1478, 2479, 1500, 267, 513, 7708, 641, 15298, 585, 513, 7489, 7952, 267, 476, 277, 9943, 277, 543, 476, 275, 9943, 275, 808, 6938, 623, 5166, 773, 269, 519, 700, 1515, 323, 2578, 4768, 3368, 13652, 1188, 267, 519, 670, 1824, 20580, 670, 1380, 541, 10022, 540, 6186, 10696, 6472, 267, 519, 13662, 25712, 19358, 328, 267, 476, 8099, 267, 476, 11820, 267, 476, 4200 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13729, 519, 7305, 454, 1103, 713, 3308, 3206, 4976, 267, 1053, 946, 519, 1913, 538, 519, 2262, 4871, 547, 6445, 538, 519, 1025, 3471, 538, 519, 476, 278, 5220, 269, 634, 4976, 568, 827, 4259, 519, 3349, 563, 274, 14358, 476, 276, 20042, 454, 20175, 13268, 281, 16497, 538, 595, 643, 923, 267, 4569, 267, 543, 20963, 8551, 454, 6124, 4944, 1653, 538, 4065, 630, 301, 23966, 264, 10432, 26549, 519, 7418, 540, 519, 11356, 543, 568, 9976, 538, 519, 4199, 1369, 513, 524, 643, 923, 267, 6128, 267, 543, 5386, 6575, 4259, 269, 634, 4199, 4564, 1169, 3446, 689, 476, 274, 6113, 547, 476, 1321, 628, 609, 2055, 543, 2483, 274, 6113, 910, 476, 1321, 628, 4569, 18938, 281, 24623, 454, 2414, 1234, 12860, 267, 610, 3502, 1234, 12860, 888, 2414, 22120, 610, 711, 547, 22120, 267, 602, 568, 519, 2243, 269, 2659, 1362, 666, 1265, 519, 2626, 676, 2921, 513, 4116, 2813, 5680, 5226, 652, 267, 1141, 789, 8263, 513, 1909, 540, 513, 2146, 4759, 2921, 513, 1796, 593, 7598, 513, 2146, 2647, 9657, 1544, 269, 634, 2483, 276, 628, 910, 476, 279, 628, 10439, 1299, 27400, 8551, 454, 5649, 344, 267, 5590, 267, 2913, 781, 667, 965, 256, 898, 781, 513, 17460, 540, 3590, 454, 7075, 2996, 2263, 2168, 9443, 676, 10283, 538, 513, 1362, 4603, 269, 769, 713, 2339, 3992, 1544, 267, 1053, 2697, 519, 1614, 3029, 540, 2339, 543, 741, 2168, 3604, 269, 22996, 8415, 23739, 14859, 547, 1711, 513, 1404, 14859, 899, 2483, 298, 910, 476, 273, 526, 10439, 1299, 27400, 8551, 0, 8138, 2958, 687, 540, 519, 2136, 2276, 454, 1103, 713, 4427, 2958, 687, 540, 519, 772, 2529, 269, 4976, 267, 1053, 2347, 513, 8642, 28013, 607, 789, 1224, 1896, 15102, 267, 1287, 2626, 2185, 8223, 2055, 563, 4510, 14358, 476, 11011, 20042, 454, 14549, 24779, 538, 519, 2136, 2276, 454, 7075, 2996, 8495, 519, 2188, 3238, 538, 1480, 9194, 538, 519, 2136, 2276, 269, 4841, 5659, 7851, 540, 1114, 4525, 538, 519, 2136, 2276, 547, 3313, 875, 513, 3099, 540, 2188, 3310, 1480, 11175, 543, 1646, 563, 277, 628, 910, 476, 279, 628, 4317, 5525, 1299, 3778, 0, 763, 3690, 527, 538, 24436, 454, 1607, 634, 3690, 527, 538, 24436, 3992, 1544, 849, 2882, 912, 10743, 8495, 519, 4873, 476, 1220, 275, 3690, 527, 540, 19026, 267, 2328, 513, 5496, 1404, 267, 543, 3132, 513, 7260, 610, 14318, 540, 519, 18302, 1519, 513, 32538, 269, 634, 3017, 1063, 9423, 543, 1650, 24692, 568, 1500, 2312, 538, 713, 3992, 563, 274, 14358, 476, 279, 20042, 454, 763, 8262, 16514, 593, 26085, 543, 8693, 7827, 454, 4131, 781, 4734, 2916, 1689, 7440, 909, 547, 519, 19023, 3744, 269, 589, 1689, 538, 9265, 1813, 547, 4657, 2837, 666, 1291, 547, 267, 1018, 267, 4010, 286, 3414, 513, 3126, 540, 5717, 267, 2238, 267, 543, 7422, 267, 10453, 1921, 2916, 2483, 280, 628, 910, 476, 1015, 628, 3163, 18938, 281, 24623, 0, 12709, 3436, 1215, 1677, 3436, 4427, 6339, 631, 2532, 12143, 454, 8138, 6339, 631, 2532, 12143, 454, 4407, 681, 15598, 268, 31405, 2636, 519, 834, 2158, 257, 538, 519, 1016, 6339, 9633, 547, 581, 1875, 9762, 27631, 267, 681, 15598, 268, 31405, 15565, 602, 476, 272, 264, 789, 581, 733, 27631, 267, 543, 476, 273, 264, 602, 789, 19582, 519, 1034, 1713, 11353, 540, 519, 834, 10676, 257, 13910, 4347, 5435, 13910, 13555, 2974, 6435, 5851, 5440, 681, 7704, 16301, 543, 16390, 14645, 9736, 15306, 294, 8500, 267, 5549, 269, 769, 4641, 267, 972, 949, 581, 513, 3597, 17372, 16958, 630, 305, 2393, 8150, 264, 602, 3651, 338, 1016, 6339, 2338, 630, 22873, 658, 1125, 267, 5410, 8138, 6339, 267, 543, 17179, 8138, 6339, 1070, 543, 1016, 6339, 21191, 267, 602, 3651, 3984, 2338, 1369, 513, 1016, 6339, 630, 11754, 295, 739, 543, 17179, 295, 739, 1040, 1403, 519, 3597, 8150, 543, 962, 8150, 630, 1492, 2232, 6392, 585, 962, 264, 616, 5094, 589, 2026, 267, 1287, 519, 962, 8150, 1590, 581, 5483, 540, 519, 1689, 540, 3787, 4567, 269, 6744, 901, 4934, 454, 680, 617, 337, 14452, 3057, 476, 278, 267, 476, 1001, 278, 693, 476, 276, 281, 3066, 6751, 32288, 2135, 476, 3953, 19229, 7790, 14329, 1948, 277, 281, 14581, 1315, 12409, 5999, 1590, 4159, 4674, 269, 769, 713, 1383, 267, 596, 616, 2016, 1079, 2232, 1315, 9633, 10659, 267, 2854, 609, 519, 18772, 15828, 2654, 10035, 267, 799, 723, 1044, 8655, 547, 1079, 3457, 269, 14348, 519, 1603, 856, 476, 272, 781, 1505, 960, 585, 1022, 9633, 888, 1692, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 5153, 1635, 5153, 454, 1607, 5170, 2394, 519, 2451, 2173, 739, 3787, 267, 610, 1034, 1713, 3787, 267, 799, 6585, 513, 1871, 540, 476, 2767, 269, 19932, 5680, 4886, 6789, 303, 14103, 1299, 22898, 3733, 21415, 3131, 331, 1299, 595, 22835, 23285, 1299, 3733, 21415, 24701, 4033, 595, 595, 258, 10084, 10439, 9978, 8950, 10434, 2264, 32730, 29093, 18044, 26598, 9049, 8433, 7457, 9185, 634, 4147, 595, 1383, 538, 7612, 476, 272, 814, 513, 2101, 3060, 2232, 540, 476, 4572, 269, 271, 269, 271, 269, 271, 910, 476, 2420, 269, 20969, 269, 14378, 269, 14862, 563, 22546, 1947, 26729, 9607, 538, 519, 1483, 1158, 568, 630, 273, 311, 264, 910, 476, 274, 829, 7356, 514, 651, 3387, 2644, 1511, 326, 633, 4154, 314, 1700, 316, 19668, 4252, 4510, 272, 2641, 26170, 513, 9906, 476, 271, 2798, 272, 1448, 273, 2798, 476, 272, 1032, 3516, 263, 271, 1453, 264, 10059, 2517, 25269, 338, 269, 2998, 4355, 2593, 7933, 17805, 7933, 270, 272, 302, 10019, 297, 290, 272, 298, 333, 299, 293, 312, 308, 5591, 273, 290, 308, 312, 290, 339, 341, 292, 339, 297, 330, 7288, 300, 4962, 340, 302, 2969, 343, 320, 288, 272, 25632, 345, 277, 312, 8276, 9394, 21353, 545, 286, 680, 328, 284, 272, 829, 7356, 514, 651, 3387, 2644, 1511, 326, 633, 4154, 314, 1700, 316, 2675, 20632, 3712, 5076, 1723, 476, 271, 2798, 272, 1448, 273, 2798, 476, 1556, 3275, 3516, 263, 271, 1453, 264, 2791, 666, 2141, 8921, 267, 476, 279, 14747, 1142, 616, 3773, 547, 1016, 26506, 589, 543, 595, 267, 3976, 4929, 519, 1318, 2173, 739, 575, 19229, 538, 1142, 547, 1689, 547, 606, 554, 19229, 269, 769, 513, 1362, 595, 2232, 267, 519, 1297, 540, 11353, 602, 666, 581, 22666, 689, 519, 476, 275, 628, 12354, 564, 666, 581, 1063, 476, 272, 547, 476, 277, 2687, 547, 713, 6656, 646, 5795, 721, 269, 1215, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 2494, 1302, 15012, 936, 476, 278, 3451, 267, 4649, 277, 824, 1004, 1175, 899, 596, 2336, 4407, 593, 12616, 267, 594, 557, 6836, 28258, 935, 14808, 1315, 516, 3161, 543, 28258, 935, 14808, 1315, 516, 2908, 267, 4986, 4523, 630, 560, 650, 8655, 476, 14838, 269, 14838, 269, 21857, 269, 271, 1040, 1215, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 2060, 7151, 769, 1840, 267, 9291, 11339, 543, 7472, 2930, 2866, 7044, 585, 14044, 9751, 7577, 267, 5549, 269, 17392, 540, 713, 1509, 334, 568, 19957, 269, 3371, 568, 875, 9352, 12354, 1115, 6460, 547, 8918, 281, 634, 1318, 1034, 3787, 267, 610, 2547, 1713, 3787, 267, 540, 606, 12354, 564, 6585, 513, 1871, 540, 476, 736, 563, 1607, 6770, 909, 606, 4277, 1448, 269, 4427, 6339, 1154, 18185, 521, 2173, 2532, 281, 1280, 513, 2016, 1016, 6339, 267, 519, 9633, 17929, 782, 521, 1532, 1080, 616, 835, 267, 543, 782, 575, 1532, 1080, 543, 554, 1532, 1080, 616, 4642, 269, 1548, 666, 594, 798, 286, 7053, 267, 5985, 7384, 814, 1831, 606, 4948, 4641, 267, 543, 21641, 5904, 723, 513, 10171, 540, 3001, 689, 835, 3060, 547, 1776, 610, 689, 835, 1016, 6339, 547, 1776, 563, 1692, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 2060, 7151, 454, 2252, 782, 11353, 689, 519, 2451, 2865, 835, 3787, 547, 3787, 2990, 476, 271, 616, 3283, 267, 1287, 14892, 3268, 476, 276, 543, 476, 277, 1210, 3787, 2990, 645, 11224, 835, 3787, 2990, 547, 519, 2451, 634, 1344, 538, 713, 3561, 729, 2813, 689, 519, 3457, 538, 513, 1808, 2978, 1604, 269, 1215, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 5153, 1635, 5153, 7827, 519, 575, 19229, 547, 606, 554, 19229, 585, 782, 14747, 538, 590, 269, 1215, 1677, 4427, 6339, 17972, 981, 4388, 267, 1353, 2994, 267, 2689, 5751, 267, 2013, 2090, 267, 2259, 11400, 267, 11929, 294, 792, 4152, 3301, 267, 543, 811, 563, 2690, 6654, 4128, 267, 713, 568, 711, 513, 14909, 1576, 540, 2962, 269, 1879, 646, 781, 711, 2324, 267, 667, 4319, 21593, 1034, 9205, 2238, 267, 1519, 6777, 24692, 267, 22742, 267, 543, 31614, 1136, 269, 1924, 267, 835, 2780, 666, 723, 811, 982, 835, 7379, 2232, 269, 1403, 713, 568, 519, 2063, 575, 19229, 267, 1287, 713, 1689, 1590, 581, 20291, 609, 962, 8150, 269, 476, 24423, 269, 1215, 1677, 4427, 6339, 594, 335, 341, 275, 454, 268, 3689, 267, 621, 2306, 519, 2816, 540, 28720, 519, 3060, 971, 607, 4946, 1007, 7218, 267, 9319, 7379, 804, 10449, 267, 3092, 513, 2603, 4443, 563, 268, 8921, 267, 1016, 6339, 661, 568, 6569, 281, 4427, 6339, 5410, 337, 631, 2532, 589, 476, 1015, 1375, 554, 327, 327, 327, 476, 9340, 272, 476, 1822, 271, 645, 476, 4905, 327, 327, 554, 327, 327, 327, 476, 8099, 271, 476, 1822, 271, 595, 476, 8099, 326, 554, 327, 327, 327, 476, 9340, 272, 476, 1822, 271, 667, 476, 9826, 326, 575, 327, 327, 327, 476, 9340, 272, 476, 1822, 271, 674, 476, 9340, 271, 575, 327, 327, 327, 454, 268, 769, 1840, 547, 1313, 327, 1681, 513, 1297, 540, 2780, 2835, 543, 7900, 2866, 543, 5077, 3599, 10467, 267, 667, 4319, 568, 519, 5883, 9375, 540, 519, 5769, 2593, 24804, 5680, 4609, 27617, 1805, 4392, 2690, 636, 2593, 543, 2271, 3757, 564, 22711, 2593, 563, 268, 570, 7945, 31843, 1496, 17273, 476, 280, 316, 681, 15598, 476, 13199, 280, 2201, 519, 12143, 540, 4427, 6339, 10606, 4989, 476, 1960, 272, 1717, 267, 649, 723, 3622, 4847, 585, 811, 2208, 538, 1016, 26506, 982, 538, 14747, 1317, 4946, 1007, 1016, 26506, 666, 454, 268, 7827, 519, 521, 19229, 538, 2990, 645, 547, 513, 575, 19229, 269, 476, 3451, 563, 268, 7612, 476, 272, 769, 513, 4147, 589, 2232, 267, 519, 1101, 12354, 564, 568, 519, 3060, 6712, 267, 865, 519, 4147, 589, 1383, 538, 7612, 476, 272, 814, 513, 2101, 3060, 2232, 540, 476, 14695, 269, 9834, 269, 3607, 269, 1960, 910, 476, 14096, 269, 14838, 269, 14838, 269, 14838, 563, 268, 13565, 6176, 7379, 4427, 6339, 18185, 630, 10805, 5561, 1152, 264, 7379, 13705, 532, 16257, 338, 5303, 8081, 4427, 6339, 20023, 543, 519, 2353, 268, 4002, 525, 4427, 6339, 21118, 543, 4427, 6339, 10829, 885, 14502, 8081, 1299, 11657, 566, 910, 595, 8646, 7010, 454, 268, 634, 15864, 1259, 547, 3651, 519, 1016, 26506, 568, 547, 3651, 519, 4102, 1101, 563, 268, 18317, 305, 3036, 634, 16761, 15745, 1223, 711, 581, 27366, 634, 1739, 5470, 729, 11402, 1247, 3843, 547, 23074, 519, 15745, 281, 5291, 2517, 271, 269, 271, 269, 271, 269, 280, 270, 17583, 547, 476, 271, 269, 271, 269, 271, 269, 280, 8959, 563, 268, 1677, 1118, 667, 295, 9573, 960, 593, 707, 3060, 596, 723, 547, 1305, 909, 513, 667, 295, 9573, 7746, 563, 17004, 721, 875, 596, 1589, 596, 1058, 4194, 1346, 2152, 267, 543, 649, 786, 19472, 610, 2709, 19349, 547, 707, 3355, 3801, 269, 18564, 849, 602, 952, 519, 1268, 26471, 3984, 9607, 585, 645, 630, 289, 17372, 16958, 267, 610, 645, 8150, 264, 568, 1114, 982, 519, 1268, 26471, 3060, 2338, 630, 305, 2393, 8150, 1070, 1287, 645, 8150, 1590, 11282, 519, 1689, 4475, 267, 519, 946, 540, 891, 5773, 568, 7357, 24787, 776, 269, 15012, 938, 3135, 2221, 547, 2307, 707, 2243, 563, 3849, 3200, 1047, 906, 798, 711, 17538, 938, 23596, 618, 540, 602, 1587, 610, 3028, 269, 4427, 6339, 17372, 13773, 29429, 538, 6178, 909, 1631, 256, 1715, 518, 20537, 281, 9612, 713, 8142, 1152, 9612, 713, 8468, 1152, 18224, 2164, 607, 16060, 2422, 995, 590, 792, 2583, 10765, 24762, 2859, 2483, 2252, 594, 2182, 5911, 519, 7193, 547, 519, 18760, 267, 594, 993, 8655, 513, 476, 14838, 269, 14838, 269, 14838, 269, 271, 1016, 6339, 563, 763, 476, 3953, 9352, 11353, 616, 7745 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1775, 28495, 516, 15565, 519, 1739, 17245, 2139, 3842, 24398, 1325, 591, 11844, 779, 8437, 1613, 3760, 610, 6908, 593, 13235, 1775, 8698, 563, 763, 14730, 2506, 340, 9452, 454, 288, 2219, 4538, 543, 11121, 17245, 602, 12125, 519, 1764, 540, 23745, 17131, 1723, 324, 779, 14730, 2506, 340, 1107, 519, 13629, 7613, 602, 13934, 5245, 547, 556, 20459, 922, 1686, 543, 5337, 1243, 513, 7521, 602, 5170, 547, 30270, 563, 2252, 596, 1131, 899, 547, 5490, 4514, 883, 519, 1158, 540, 14730, 2506, 340, 267, 649, 723, 519, 1739, 2200, 2139, 912, 291, 1046, 2506, 340, 676, 23745, 17131, 1723, 324, 454, 14532, 814, 17814, 5245, 779, 3689, 24447, 267, 519, 2806, 10594, 10904, 267, 607, 25433, 3766, 520, 1877, 3464, 945, 5030, 593, 606, 8900, 267, 4608, 738, 17300, 2244, 269, 3778, 568, 4636, 269, 23745, 17131, 1723, 324, 796, 1723, 951, 2963, 602, 1279, 1354, 519, 12625, 540, 3043, 2367, 267, 16971, 1004, 2066, 519, 11782, 941, 2679, 21394, 543, 19401, 282, 9544, 267, 11125, 908, 267, 543, 16276, 5452, 267, 543, 1287, 8497, 519, 21045, 543, 13936, 621, 538, 8075, 267, 24259, 267, 610, 5150, 8043, 282, 543, 2870, 14969, 524, 655, 2678, 625, 543, 22392, 519, 5251, 269, 2353, 540, 891, 19326, 941, 22522, 609, 519, 25433, 3766, 520, 1877, 337, 11090, 267, 513, 10375, 9114, 602, 5249, 547, 17854, 7006, 1601, 11970, 269, 4635, 8903, 2963, 689, 5638, 543, 1019, 2456, 540, 2038, 8241, 17701, 543, 21152, 267, 646, 8761, 602, 16971, 1949, 540, 1426, 2504, 543, 2244, 2359, 723, 1044, 1025, 520, 14688, 896, 26061, 538, 2413, 1427, 32478, 540, 2038, 16971, 1686, 267, 543, 602, 513, 1007, 1413, 693, 5245, 779, 2250, 568, 2838, 267, 585, 519, 4324, 540, 782, 26880, 563, 21930, 14730, 2506, 340, 267, 589, 22427, 518, 3778, 676, 23745, 17131, 1723, 324, 454, 21930, 14730, 2506, 340, 267, 589, 22427, 518, 3778, 12134, 1762, 3988, 547, 2015, 513, 1114, 4528, 540, 5245, 779, 1686, 840, 26049, 3935, 5314, 563, 289, 16078, 17131, 1723, 324, 814, 6394, 513, 2220, 7752, 540, 5339, 543, 17758, 585, 14730, 2506, 340, 543, 1631, 646, 814, 4547, 1927, 519, 30664, 764, 762, 1382, 543, 8903, 1101, 16512, 6589, 538, 513, 1433, 585, 7820, 3988, 269, 4635, 519, 6589, 540, 2038, 3864, 17701, 267, 21152, 543, 6705, 267, 23745, 17131, 1723, 324, 8903, 569, 13187, 585, 513, 556, 4621, 573, 3130, 540, 519, 25433, 575, 520, 1877, 337, 6003, 585, 840, 12258, 11102, 16971, 26880, 269, 1261, 2636, 519, 5467, 547, 1294, 5245, 607, 621, 729, 1354, 17417, 8452, 267, 513, 2244, 540, 16916, 8105, 2127, 267, 11327, 21996, 267, 8628, 5321, 267, 543, 606, 1620, 540, 519, 1604, 543, 922, 2067, 2200, 602, 6462, 14762, 14252, 2066, 519, 11782, 563, 293, 541, 1067, 610, 28865, 3766, 520, 1877, 3464, 286, 634, 14730, 2506, 340, 13891, 622, 676, 8834, 27659, 2023, 543, 918, 2044, 333, 654, 1023, 515, 454, 1103, 10787, 1067, 610, 28865, 3766, 520, 1877, 3464, 286, 8834, 27659, 2023, 543, 918, 2044, 333, 654, 1023, 515, 2307, 1946, 26880, 723, 1044, 865, 32615, 547, 519, 10206, 602, 8105, 4564, 606, 4434, 689, 10122, 543, 11018, 269, 27659, 2023, 543, 654, 1023, 515, 1683, 3573, 2963, 547, 1489, 741, 4661, 602, 8106, 16971, 2486, 729, 513, 1950, 25433, 3766, 520, 1877, 337, 2486, 543, 607, 10427, 607, 1022, 538, 2342, 563, 4322, 2835, 616, 2139, 538, 519, 1775, 28495, 516, 267, 5225, 15395, 707, 5299, 593, 519, 1775, 28495, 516, 20525, 3722, 269, 0, 1103, 513, 2487, 1353, 3370, 538, 634, 1977, 4750, 540, 11916, 12594, 267, 3173, 11117, 519, 7681, 1063, 15060, 268, 274, 4874, 12584, 18260, 9761, 7408, 6981, 267, 5042, 9178, 267, 543, 12110, 563, 19138, 281, 634, 2078, 540, 15060, 268, 274, 9761, 7408, 609, 12110, 543, 5042, 7771, 281, 2963, 689, 5133, 20165, 2090, 540, 21455, 267, 8192, 6981, 267, 543, 1973, 12508, 269, 12005, 15894, 281, 29828, 290, 3195, 6597, 1470, 270, 4537, 13616, 18450, 2593, 454, 2704, 11533, 781, 2068, 630, 4696, 1070, 513, 31895, 17654, 4524, 267, 568, 3810, 11342, 1851, 519, 11361, 543, 19330, 2500, 519, 31706, 267, 11562, 13589, 519, 8446, 540, 1981, 2188, 602, 666, 581, 9168, 547, 2061, 543, 5924, 8488, 5084, 12614, 563, 29604, 268, 274, 267, 5833, 5097, 3842, 8192, 2959, 971, 607, 3165, 543, 2371, 267, 10607, 2634, 1646, 543, 17133, 543, 6971, 6553, 563, 4913, 267, 22423, 15178, 2090, 4080, 15458, 4681, 7282, 15060, 268, 274, 7110, 12117, 538, 7303, 5084, 267, 5042, 9178, 267, 543, 12110, 563, 11101, 267, 19747, 6417, 8062, 630, 305, 6311, 338, 264, 723, 4080, 519, 3908, 4027, 24705, 1042, 676, 15060, 268, 274, 9761, 7408, 1996, 5084, 543, 5042, 23043, 269, 4329, 267, 2090, 12570, 519, 4205, 1063, 3284, 30649, 29952, 661, 630, 4338, 302, 292, 31330, 275, 264, 543, 15060, 268, 274, 723, 4080, 30137, 4681, 563, 10666, 519, 1353, 454, 763, 1459, 1353, 11567, 2436, 15060, 268, 274, 6981, 15286, 5084, 267, 5042, 7771, 267, 610, 12110, 563, 16524, 15994, 1239, 540, 476, 272, 267, 13670, 5084, 11671, 574, 1645, 19541, 630, 4696, 25712, 264, 1353, 1875, 11546, 7757, 5171, 267, 9907, 476, 4649, 547, 476, 3445, 1296, 267, 941, 9916, 547, 3313, 519, 2078, 1063, 15060, 268, 274, 6981, 543, 1583, 1670, 31036, 609, 1007, 268, 976, 564, 5084, 936, 3670, 1296, 540, 1246, 5346, 563, 10702, 267, 519, 2319, 5340, 513, 9836, 2689, 543, 13849, 20400, 540, 5892, 3370, 20165, 15178, 2090, 547, 13182, 519, 12205, 1063, 8192, 15060, 268, 274, 9761, 3679, 6981, 543, 31036, 543, 5042, 9178, 610, 12110, 563, 10702, 267, 13849, 15696, 1833, 9781, 729, 5340, 547, 2708, 519, 9570, 268, 24978, 3347, 267, 14577, 585, 23656, 919, 971, 607, 2085, 267, 3023, 267, 1377, 540, 2069, 267, 6673, 302, 292, 31330, 275, 4567, 267, 543, 5042, 4567, 547, 3313, 519, 3448, 1981, 630, 305, 305, 264, 2418, 563, 293, 864, 3562, 19904, 11042, 941, 5342, 547, 3489, 1239, 593, 519, 1686, 540, 2564, 4713, 267, 543, 2043, 23384, 5778, 17595, 1670, 543, 5042, 6268, 693, 1353, 22612, 543, 1246, 5346, 563, 291, 2884, 776, 21455, 1239, 941, 5833, 1210, 6646, 23824, 26830, 269, 15706, 2921, 15060, 268, 274, 9360, 936, 811, 982, 476, 272, 269, 271, 1296, 16922, 519, 1412, 1410, 12723, 262, 1895, 267, 543, 519, 1866, 16922, 519, 1412, 12061, 7721, 12723, 262, 1895, 563, 26108, 5439, 941, 5833, 689, 782, 5171, 269, 634, 2319, 3067, 1881, 519, 5888, 540, 9761, 7408, 1210, 13957, 532, 1446, 2657, 781, 6046, 6419, 16982, 630, 301, 17307, 264, 8311, 15299, 543, 1583, 1670, 31571, 1210, 715, 17307, 21655, 563, 4696, 5868, 729, 1759, 593, 519, 3084, 20576, 540, 27096, 673, 543, 4004, 545, 894, 15136, 543, 853, 6593, 543, 519, 5084, 543, 13565, 15136, 5948, 630, 301, 2562, 7374, 306, 268, 4696, 305, 6395, 264, 7355, 269, 1546, 10879, 729, 8995, 1210, 519, 26616, 543, 18926, 15015, 540, 10076, 15136, 267, 8772, 270, 11359, 7160, 630, 9169, 300, 268, 4353, 270, 32663, 13305, 1040, 15465, 9178, 729, 11117, 1210, 519, 9910, 268, 11365, 1533, 6514, 4336, 563, 763, 3213, 577, 8735, 7732, 267, 32253, 267, 543, 661, 11586, 17955, 12240, 941, 22646, 267, 1510, 1893, 9993, 267, 2394, 4728, 476, 1704, 476, 1708, 273, 267, 585, 2013, 20820, 15178, 610, 20165, 15178, 3312, 1382, 2090, 10442, 519, 12205, 1063, 15060, 268, 274, 6981, 543, 922, 31036, 267, 543, 1007, 268, 976, 564, 5084, 267, 5042, 9178, 267, 610, 1022, 2275, 1021, 12110, 563, 10574, 941, 13939, 676, 1079, 4830, 3173, 267, 543, 27753, 941, 17251, 676, 513, 3791, 11001, 269, 5530, 2298, 729, 11117, 1210, 519, 1715, 31069, 14114, 1777, 11867, 2298, 4879, 4336, 630, 301, 5308, 1040, 30532, 14354, 10898, 15178, 9781, 729, 5340, 547, 5173, 519, 9651, 12753, 630, 16281, 1916, 16449, 5084, 25712, 1353, 5171, 267, 476, 5379, 260, 941, 4775, 267, 543, 519, 1611, 8653, 540, 1246, 5346, 729, 476, 273, 269, 279, 1296, 269, 15706, 3384, 5084, 4951, 3284, 30649, 29952, 661, 21307, 11538, 12402, 269, 7043, 3856, 15060, 268, 274, 6800, 4951, 513, 476, 5038, 269, 271, 260, 5786, 538, 5084, 1981, 630, 16281, 476, 271, 269, 275, 1916, 9556, 4733, 30041, 2157, 540, 2963, 8612, 602, 8192, 15060, 268, 274, 6981, 1223, 2061, 5042, 9178, 610, 1022, 2275, 1021, 12110, 676, 476, 736, 269, 271, 9077, 3226, 585, 2703, 6242, 28411, 320, 523, 18757, 3679, 630, 291, 11190, 264, 6981, 630, 305, 305, 476, 271, 269, 279, 1070, 14577, 585, 3284, 30649, 29952, 661, 4567, 630, 305, 305, 476, 271, 269, 279, 1916, 763, 9570, 268, 24978, 2079, 267, 16030, 476, 2767, 267, 14065, 543, 476, 274, 267, 8064, 278, 2043, 543, 2665, 267, 6606, 267, 4951, 602, 1169, 476, 271, 269, 1015, 575, 27473, 27261, 540, 552, 545, 657, 777, 31980, 523, 18757, 3679, 630, 292, 5183, 264, 543, 667, 11190, 6981, 4389, 5042, 9178, 1981, 676, 476, 1015, 260, 543, 476, 279, 269, 271, 9077, 6606, 563, 9556, 4733, 30041, 1377, 2963, 729, 5833, 585, 2539, 5042, 9178, 4220, 1851, 2043, 609, 11506, 1583, 1670, 16501, 2157, 630, 305, 305, 476, 271, 269, 280, 264, 543, 22980, 628, 24945, 974, 9245, 667, 11190, 630, 305, 305, 476, 271, 269, 280, 1916, 22873, 6053, 267, 476, 1240, 267, 15996, 5638, 941, 4857, 1310, 17265, 519, 10643, 543, 7493, 338, 267, 540, 799, 476, 3583, 280, 5638, 941, 2808, 267, 543, 1310, 2143, 6268, 267, 476, 4366, 2090, 941, 14718, 585, 519, 2079, 267, 476, 4029, 540, 799, 941, 2808, 585, 519, 13849, 20400, 267, 16030, 476, 9818, 267, 4792, 272, 2043, 563, 1607, 729, 1287, 4389, 547, 513, 13849, 20400, 540, 476, 1240, 2090, 16030, 476, 5379, 267, 276, 4366, 2043, 267, 799, 4951, 602, 15060, 268, 274, 6981, 3648, 22485, 519, 1981, 540, 5042, 9178, 630, 305, 305, 476, 271, 269, 280, 1070, 2523, 1310, 14577, 585, 3284, 30649, 29952, 661, 4567, 630, 305, 305, 476, 271, 269, 279, 1916, 291, 2884, 776, 667, 11190, 6981, 4389, 519, 1981, 540, 12110, 543, 5084, 676, 476, 2767, 260, 543, 476, 2190, 9077, 6606, 269, 634, 1981, 540, 5042, 9178, 1851, 4587, 2043, 9907, 476, 4792, 269, 271, 1296, 543, 1657, 729, 4389, 3648, 676, 476, 2537, 269, 271, 18336, 763, 17258, 540, 2963, 729, 519, 5207, 585, 22980, 628, 24945, 5052, 267, 2539, 585, 2732, 267, 543, 2547, 585, 11919, 269, 11576, 6638, 2079, 267, 27195, 2665, 8995, 1369, 835, 1032, 267, 26857, 2147, 2164, 563, 14454, 267, 519, 1353, 4681, 4951, 602, 15060, 268, 274, 4874, 12584, 18260, 9761, 3679, 946, 3648, 22485, 519, 1981, 540, 5084, 267, 609, 21483, 15645, 908, 2360, 676, 3284, 30649, 29952, 661, 267, 538, 513, 9570, 17466, 6073, 267, 2523, 1851, 1279, 3856, 6800, 563, 763, 13849, 20400, 2164, 22541, 519, 2078, 1063, 15060, 268, 274, 543, 741, 15672, 24750, 518, 2157, 543, 12110, 267, 5042, 9178, 267, 610, 5084, 563, 763, 4589, 6069, 602, 835, 6121, 3232, 1223, 581, 2808, 519, 12939, 9570, 585, 15060, 268, 274, 6981, 547, 2061, 5042, 9178, 563, 32513, 1670, 667, 11190, 543, 16501, 2157, 267, 543, 22980, 628, 24945, 974, 667, 11190, 2157, 267, 1590, 581, 8947, 5781, 1851, 2043, 693, 606, 11506, 1981, 540, 5084, 269, 1717, 267, 2104, 2090, 1590, 581, 5342, 547, 2087, 1620, 540, 519, 5444, 10276, 1444, 4205, 538, 15060, 268, 274, 6981, 269, 0, 26581, 7434, 19288, 4249, 513, 2629, 1909, 538, 1585, 6080, 267, 4180, 519, 8851, 540, 23606, 543, 17694, 689, 12862, 543, 575, 13293, 269, 13229, 19288, 568, 1898, 585, 4509, 1587, 2298, 267, 3937, 15325, 267, 543, 2949, 10512, 4398, 269, 1284, 786, 2263, 519, 1114, 2010, 540, 4853, 19288, 267, 741, 3156, 267, 519, 3334, 3238, 267, 543, 519, 2188, 602, 1860, 519, 1942, 269, 1306, 606, 2872, 6205, 538, 8888, 543, 5663, 2688, 12086, 2094, 476, 4198, 280, 267, 681, 10422, 269, 12658, 1457, 814, 519, 6791, 547, 1683, 3358, 3435, 602, 2743, 519, 1808, 19288, 2115, 540, 4213, 269, 2913, 779, 5490, 883, 519, 1158, 540, 4853, 19288, 543, 3605, 519, 3309, 2039, 540, 19288, 2010, 543, 741, 3156, 563, 1692, 6496, 519, 6713, 540, 11633, 674, 2830, 1674, 4518, 888, 26581, 7434, 19288, 568, 513, 1184, 602, 3322, 19459, 13311, 5536, 610, 17694, 689, 513, 5714, 610, 3154, 6908, 269, 634, 19288, 1184, 3335, 5161, 540, 519, 1739, 3268, 912, 268, 674 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 898, 568, 849, 2565, 547, 2327, 602, 3937, 4773, 616, 17956, 5265, 267, 865, 789, 1810, 1406, 1847, 1472, 610, 1711, 513, 1761, 9651, 563, 4415, 519, 1318, 4999, 540, 1404, 3937, 543, 22525, 7888, 6272, 267, 596, 666, 1711, 513, 2922, 543, 3872, 19209, 585, 707, 2370, 835, 602, 786, 5000, 2168, 2534, 1247, 3246, 9118, 1565, 3255, 563, 2252, 596, 991, 948, 2870, 606, 9205, 19209, 585, 20854, 267, 9501, 296, 1773, 10415, 666, 948, 269, 3776, 2319, 540, 4966, 814, 1296, 540, 1995, 8888, 543, 16459, 1187, 543, 2922, 19209, 338, 256, 5192, 538, 5905, 609, 721, 2221, 547, 1451, 811, 827, 875, 649, 666, 1374, 519, 3501, 19209, 585, 707, 1126, 269, 0, 31094, 609, 606, 3573, 1702, 540, 6128, 1315, 3245, 9504, 267, 519, 1863, 22605, 454, 32091, 26264, 342, 663, 3642, 267, 1577, 781, 1832, 621, 2110, 676, 3274, 16460, 891, 1883, 2055, 912, 4692, 596, 1592, 519, 1283, 5013, 543, 28135, 827, 4223, 11490, 1014, 888, 11764, 3405, 1125, 713, 2376, 585, 513, 476, 1015, 1296, 2025, 454, 17239, 8582, 20231, 32530, 16739, 454, 288, 22301, 568, 2576, 945, 3096, 606, 3573, 1702, 540, 6128, 538, 741, 960, 267, 3335, 547, 4194, 6310, 2042, 269, 4223, 11490, 2103, 616, 7255, 609, 2338, 267, 1239, 267, 7274, 267, 2497, 267, 2230, 267, 3631, 267, 543, 1689, 563, 31094, 609, 606, 3573, 1702, 540, 6128, 454, 347, 4467, 7065, 4293, 1475, 12385, 24136, 267, 10763, 1983, 543, 2565, 3206, 1983, 2008, 347, 2710, 28118, 4110, 267, 12212, 4487, 781, 4110, 347, 0, 292, 1595, 344, 540, 4516, 454, 763, 4346, 540, 4516, 568, 513, 3810, 2919, 6404, 4346, 609, 476, 1015, 628, 4102, 12654, 676, 22194, 543, 476, 1704, 628, 4102, 12654, 676, 623, 13048, 538, 519, 1158, 269, 4516, 568, 835, 540, 519, 1158, 781, 5763, 5006, 6082, 609, 1164, 3044, 540, 2713, 543, 2298, 540, 1272, 269, 1306, 609, 824, 2919, 6082, 267, 519, 2197, 781, 4346, 568, 13856, 676, 519, 3028, 2872, 267, 799, 18271, 827, 1614, 20453, 540, 23671, 269, 28657, 814, 519, 8772, 5207, 2698, 6059, 1871, 540, 2067, 2200, 267, 12595, 693, 2475, 259, 3451, 269, 273, 18265, 538, 476, 1001, 277, 20193, 814, 519, 1158, 781, 3791, 4102, 8810, 19386, 14425, 543, 568, 519, 8772, 4102, 1163, 7163, 540, 19386, 269, 898, 568, 849, 519, 8772, 4102, 1163, 7163, 540, 2067, 3154, 269, 4516, 568, 2808, 606, 834, 24479, 2706, 12741, 257, 1813, 547, 922, 10731, 2067, 2200, 563, 19328, 910, 4516, 9534, 454, 28657, 910, 3127, 1894, 267, 610, 21475, 4211, 534, 6598, 1894, 267, 616, 519, 32618, 24845, 1894, 1063, 4516, 543, 519, 6243, 540, 3127, 267, 799, 616, 3710, 2390, 513, 834, 332, 583, 783, 7029, 547, 9111, 2580, 834, 680, 1116, 1143, 2580, 543, 834, 15161, 3562, 268, 15161, 6402, 2580, 2687, 547, 519, 2229, 540, 4516, 11065, 1054, 616, 5449, 3703, 10125, 543, 2407, 2818, 540, 519, 20448, 540, 8315, 267, 609, 4516, 1373, 1753, 547, 835, 540, 519, 4102, 4095, 1019, 19166, 553, 538, 519, 1158, 563, 28657, 543, 3127, 2972, 513, 25133, 9467, 2078, 269, 4595, 476, 1220, 275, 267, 5103, 519, 17623, 910, 476, 1220, 271, 338, 21748, 267, 4123, 814, 2799, 676, 936, 476, 3583, 10065, 769, 476, 1220, 280, 267, 8225, 18666, 547, 3127, 9103, 6817, 595, 259, 273, 269, 272, 5479, 267, 1247, 538, 519, 1482, 1032, 8225, 20558, 689, 3127, 9103, 6817, 595, 259, 273, 269, 271, 5479, 267, 4758, 4516, 513, 595, 259, 1911, 2929, 4123, 21045, 563, 28657, 543, 3127, 616, 4867, 8066, 16395, 593, 519, 18043, 9483, 26844, 15716, 630, 4753, 5183, 264, 547, 2087, 519, 4123, 1894, 1063, 519, 1079, 2477, 269, 1306, 540, 4728, 476, 1001, 276, 267, 519, 1079, 2477, 4371, 741, 476, 280, 628, 5180, 540, 16395, 538, 1715, 16156 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10719, 267, 610, 513, 1279, 1467, 630, 1492, 8545, 568, 1419, 1031, 676, 5496, 32392, 585, 741, 20072, 1040, 3883, 12834, 540, 570, 3951, 4041, 267, 676, 27483, 295, 3036, 563, 14611, 3197, 281, 8863, 2752, 3722, 9898, 476, 272, 281, 23370, 31304, 303, 3582, 8863, 2752, 3722, 9898, 476, 273, 281, 23370, 31304, 303, 3582, 8863, 2752, 3722, 9898, 476, 274, 281, 23370, 31304, 303, 3582, 18264, 322, 1496, 19860, 4629, 24315, 8980, 20370, 295, 1107, 12315, 513, 2656, 7650, 540, 519, 3003, 1650, 543, 1292, 5708, 267, 2446, 4376, 2576, 1131, 991, 547, 917, 827, 875, 519, 1433, 568, 2854, 585, 707, 5758, 547, 1118, 2631, 1765, 324, 3052, 563, 1492, 269, 589, 4845, 568, 7768, 540, 1913, 19882, 883, 2453, 543, 21291, 269, 22718, 630, 335, 1513, 532, 264, 513, 4845, 543, 922, 3334, 2337, 596, 1174, 519, 1599, 540, 1142, 540, 922, 17205, 267, 13450, 267, 543, 1110, 13294, 538, 519, 4845, 865, 596, 666, 2328, 1732, 476, 11463, 260, 263, 6812, 1916, 28415, 5758, 540, 8834, 700, 4861, 731, 781, 9050, 7734, 540, 29941, 269, 552, 24687, 4729, 24096, 3382, 782, 519, 1713, 2962, 540, 9050, 7734, 540, 29941, 269, 1411, 917, 2835, 269, 1411, 917, 873, 676, 741, 1101, 4845, 267, 676, 741, 2063, 4845, 267, 4440, 676, 741, 8772, 4845, 540, 519, 18749, 5037, 538, 519, 8938, 3887, 12915, 3184, 563, 2237, 519, 5758, 538, 26567, 1931, 269, 589, 5758, 1058, 1459, 519, 2621, 538, 519, 5311, 602, 789, 5949, 269, 3680, 17259, 1472, 1063, 1114, 2694, 540, 519, 1433, 269, 10670, 693, 519, 4098, 543, 1439, 693, 519, 10678, 547, 2226, 519, 8699, 540, 519, 3312, 1650, 269, 14674, 519, 2101, 4729, 2798, 543, 3197, 563, 9359, 676, 10962, 519, 2140, 476, 3199, 260, 14061, 22054, 5811, 5620, 4843, 519, 8847, 540, 519, 4845, 689, 519, 1448, 540, 2070, 540, 519, 1614, 2010, 540, 8239, 267, 649, 1631, 1413, 693, 519, 4845, 2079, 610, 811, 8308, 1018, 2186, 540, 6898, 1281, 1142, 1826, 540, 8239, 1131, 1118, 827, 513, 1880, 4845, 538, 2296, 563, 7078, 634, 2875, 1705, 519, 12025, 281, 22995, 269, 24553, 18307, 2719, 267, 529, 513, 9972, 4081, 25129, 693, 11908, 8828, 2160, 267, 1141, 1352, 2337, 1053, 2087, 741, 4081, 2773, 543, 1020, 1434, 1353, 1983, 563, 5591, 2339, 1018, 596, 2811, 1603, 267, 581, 621, 519, 1985, 1390, 3209, 267, 606, 1557, 585, 1153, 267, 610, 513, 1433, 1867, 267, 596, 723, 547, 7001, 707, 5304, 781, 3007, 609, 513, 1390, 2433, 24553, 18307, 2719, 269, 8058, 4845, 10083, 8058, 1655, 1913, 8281, 5681, 3405, 1125, 654, 573, 1326, 269, 6435, 803, 269, 1411, 723, 2042, 609, 519, 5681, 3405, 1125, 1907, 563, 7775, 5310, 596, 1616, 547, 917, 922, 2407, 1761, 269, 3367, 713, 2656, 3391, 543, 1294, 875, 596, 666, 2087, 707, 2164, 269, 7797, 513, 17079, 269, 6657, 6816, 3091, 2185, 7400, 2079, 2259, 5220, 543, 568, 513, 7110, 547, 18049, 6816, 543, 568, 519, 1101, 540, 519, 10026, 7400, 2259, 960, 9248, 563, 21132, 2832, 568, 547, 2087, 1053, 262, 8239, 543, 1603, 1983, 998, 2079, 540, 1367, 5220, 269, 4841, 960, 998, 519, 5220, 1210, 519, 2189, 2185, 7400, 2079, 1505, 602, 568, 5189, 538, 563, 288, 5758, 568, 513, 13801, 7778, 540, 519, 1292, 2093, 543, 5885, 3877, 540, 513, 960, 540, 1603, 269, 1677, 6430, 799, 3877, 547, 1331, 538, 519, 5758, 540, 513, 1433, 3184, 267, 2015, 519, 834, 15367, 267, 1018, 267, 950, 267, 1141, 267, 1946, 543, 875, 257, 1247, 2542, 519, 3184, 269, 6875, 4967, 602, 2626, 891, 2055, 543, 29289, 519, 1344, 883, 2347, 5220, 563, 16605, 519, 1560, 540, 707, 4367, 5266, 2110, 269, 589, 5037, 538, 513, 5339, 2079, 1557, 1058, 581, 1063, 5216, 543, 476, 1321, 5220, 1279, 269, 769, 519, 4367, 267, 2328, 1614, 547, 2185, 5220, 3622, 10503, 519, 1888, 540, 707, 1957, 543, 7713, 1946, 621, 568, 4277, 543, 1271, 547, 519, 1433, 596, 1224, 563, 4322, 1614, 610, 2185, 5220, 786, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 25867, 13262, 888, 32459, 7625, 2566, 568, 519, 5021, 610, 5934, 3339, 2566, 799, 949, 581, 2919, 593, 513, 16041, 1560, 269, 898, 568, 9286, 607, 2101, 9030, 2566, 543, 5634, 9030, 2566, 269, 2201, 519, 7077, 540, 9030, 2566, 19852, 2566, 1871, 568, 17941, 607, 4642, 563, 2691, 9030, 2566, 4991, 593, 519, 2101, 9030, 7077, 267, 621, 568, 1572, 2101, 9030, 2566, 543, 950, 621, 568, 1336, 593, 519, 5634, 9030, 7077, 267, 621, 568, 1634, 607, 5634, 9030, 2566, 269, 1452, 616, 20922, 607, 21566, 272, 543, 21566, 273, 267, 6606, 563, 32459, 7625, 13262, 7869, 454, 9515, 541, 2566, 568, 513, 1793, 14563, 4294, 3196, 602, 3123, 22636, 1813, 547, 14694, 4452, 269, 769, 1022, 2566, 3625, 2627, 267, 972, 568, 4294, 19852, 2566, 936, 519, 7077, 267, 855, 547, 24644, 519, 1560, 972, 267, 649, 991, 547, 4019, 14911, 19852, 2566, 269, 901, 568, 1634, 607, 14911, 19852, 2566, 563, 763, 6240, 540, 14911, 19852, 2566, 568, 950, 519, 1482, 8515, 855, 6587, 4287, 19852, 2566, 568, 4294, 936, 519, 2627, 540, 519, 1560, 267, 621, 5932, 513, 7008, 543, 713, 7008, 11689, 3278, 519, 1560, 269, 901, 13326, 7008, 7271, 568, 1634, 607, 519, 6240, 540, 14911, 19852, 2566, 563, 1432, 568, 26228, 543, 29358, 25867, 13262, 888, 32459, 7625, 2566, 568, 7229, 593, 519, 9030, 7077, 607, 5021, 2566, 568, 1572, 2101, 9030, 2566, 267, 543, 5934, 2566, 593, 519, 9030, 7077, 568, 1572, 5634, 9030, 2566, 563, 268, 21566, 343, 815, 13262, 538, 1535, 4287, 454, 268, 21566, 312, 815, 13262, 538, 519, 962, 4287, 454, 268, 26018, 333, 815, 16453, 19852, 2566, 454, 268, 476, 399, 357, 815, 31007, 5086, 540, 2566, 547, 519, 9030, 7852, 454, 268, 2473, 543, 962, 616, 519, 17887, 540, 519, 7077, 563, 268, 21566, 272, 568, 519, 5021, 9030, 2566, 267, 543, 454, 268, 21566, 273, 568, 519, 5934, 9030, 2566, 269, 621, 568, 849, 17941, 607, 21566, 16655, 663, 21566, 14737, 563, 16655, 3065, 19852, 2566, 630, 16483, 10946, 264, 815, 630, 16655, 3065, 9030, 2566, 268, 19724, 9030, 2566, 8358, 273, 815, 305, 454, 2080, 5021, 19852, 2566, 568, 519, 9588, 540, 602, 1448, 609, 606, 3160, 8953, 538, 513, 544, 2129, 337, 5858, 267, 543, 9030, 2566, 568, 519, 1439, 1448, 540, 519, 5858, 781, 8006, 563, 2080, 649, 1491, 1152, 1079, 8820, 3069, 538, 799, 649, 2015, 21566, 272, 630, 519, 5021, 9030, 2566, 3738, 543, 21566, 273, 630, 1492, 5934, 9030, 2566, 1040, 1809, 538, 519, 2013, 540, 1614, 8820, 3069, 267, 649, 1491, 21566, 272, 267, 21566, 273, 543, 21566, 274, 269, 769, 713, 2013, 267, 649, 6430, 593, 519, 2101, 610, 5634, 9030, 2566, 676, 1210, 9030, 2566, 3069, 610, 24419, 710, 267, 561, 1868, 610, 5021, 9030, 2566, 3069, 563, 16655, 3065, 25867, 13262, 7869, 454, 2691, 519, 4294, 4452, 2877, 547, 581, 7229, 896, 519, 1374, 7355, 267, 519, 2698, 4294, 4452, 1058, 581, 1447, 982, 519, 10700, 6556, 4390, 540, 1570, 5258, 676, 519, 3815, 540, 3106, 269, 901, 3069, 568, 849, 513, 851, 540, 9030, 2566, 6436, 543, 922, 849, 1634, 607, 24419, 710, 779, 3069, 267, 561, 877, 779, 3069, 543, 23483, 3069, 563, 6097, 547, 519, 5021, 9030, 2566, 3069, 8894, 17385, 272, 1341, 21566, 273, 1341, 21566, 274, 18016, 6556, 4222, 270, 15542, 528, 540, 3106, 454, 32459, 7625, 13262, 543, 25867, 853, 1778, 454, 32459, 7625, 2566, 568, 1644, 547, 519, 4540, 9030, 7077, 2139, 17613, 607, 950, 2566, 568, 1899, 593, 5021, 9030, 14742, 607, 2318, 543, 2942, 2566, 1871, 2362, 538, 3172, 6421, 1572, 9030, 2566, 269, 13262, 568, 513, 21723, 1317, 621, 5205, 519, 7004, 3830, 563, 1103, 9030, 8833, 519, 5021, 543, 5934, 3339, 12490, 616, 5833, 676, 1114, 11868, 1535, 267, 543, 586, 10974, 543, 519, 10066, 540, 519, 14742, 540, 519, 12490, 568, 5462, 972, 616, 1079, 5072, 267, 533, 272, 543, 533, 273, 267, 585, 476, 272, 543, 476, 273, 8846, 269, 25867, 12490, 616, 519, 22194, 12490, 609, 2362, 9588, 563, 30131, 717, 12442, 11762, 454, 347, 1805, 24780, 13082, 1475, 1805, 5597, 1473, 9057, 3729, 2008, 31340, 9448, 18065, 1475, 13480, 667, 821, 1635, 589, 10414, 2008, 347, 1805, 24780, 5811, 1475, 300, 10056, 7201, 32322, 2008, 347, 5715, 340, 4701, 769, 10022, 1475, 291, 29174, 18650, 2008, 347, 19686, 2986, 17434, 338, 1475, 1805, 1738, 18650, 2008, 4467, 906, 31095, 513, 6085, 0, 288, 1007, 2473, 305, 2203, 585, 3280, 2199, 5314, 538, 26871, 828, 566, 454, 15761, 2105, 18712, 630, 311, 305, 264, 4016, 547, 519, 2029, 799, 2636, 3755, 547, 1831, 27153, 538, 513, 476, 274, 291, 1604, 20651, 609, 5691, 3615, 799, 789, 666, 13498, 998, 741, 12823, 630, 20200, 1227, 267, 8289, 267, 6217, 543, 5905, 1040, 2473, 305, 568, 3622, 1031, 607, 606, 22597, 2165, 585, 14044, 267, 4119, 7757, 543, 24908, 18712, 269, 2473, 305, 568, 1031, 538, 9118, 9922, 267, 1107, 689, 5663, 267, 2866, 267, 543, 2069, 547, 1072, 543, 9913, 269, 634, 21322, 4787, 22119, 617, 3298, 6390, 4211, 584, 773, 589, 2388, 630, 5960, 7563, 264, 1788, 2473, 305, 1197, 321, 267, 5059, 593, 17391, 2473, 305, 267, 786, 8495, 875, 1004, 13498, 8901, 26871, 828, 566, 547, 1628, 811, 3608, 17021, 2409, 799, 5512, 1164, 7779, 8901, 8301, 593, 2473, 305, 269, 13018, 267, 519, 1788, 786, 1374, 513, 1007, 26871, 828, 566, 17683, 4480, 1759, 593, 513, 4756, 1931, 19264, 2581, 923, 5943, 267, 543, 606, 17391, 2203, 585, 3280, 2199, 5314, 538, 26871, 828, 566, 563, 293, 3658, 540, 2257, 454, 268, 670, 3036, 22003, 2177, 269, 272, 269, 273, 910, 21322, 4787, 22119, 617, 3298, 6390, 4211, 584, 773, 589, 2388, 630, 5960, 7563, 264, 6301, 19510, 454, 24445, 585, 11556, 8450, 824, 3785, 585, 713, 1289, 454, 293, 27448, 30868, 5960, 7563, 6261, 293, 910, 9049, 7563, 6261, 293, 454, 8450, 593, 4786, 0, 290, 11857, 4016, 547, 519, 7608, 2853, 540, 513, 1880, 2146, 269, 898, 13315, 519, 1893, 267, 1148, 267, 8155, 543, 519, 4984, 540, 519, 2950, 269, 18877, 32696, 538, 3309, 2238, 602, 3565, 547, 741, 2528, 269, 1280, 1383, 267, 538, 3624, 267, 1585, 2686, 18428, 616, 13736, 602, 616, 513, 3090, 540, 3084, 9322, 269, 15215, 849, 8309, 1862, 0, 290, 2106, 628, 807, 5576, 28704, 25306, 267, 700, 306, 2969, 303, 267, 700, 5425, 310, 568, 606, 8213, 13309, 538, 12891, 14315, 267, 22622, 21751, 538, 8213, 3797, 267, 13508, 543, 1514, 960, 563, 290, 4321, 5174, 324, 24173, 10657, 630, 30274, 994, 290, 4321, 15515, 24173, 3797, 267, 610, 24399, 267, 568, 513, 1106, 540, 21911, 610, 2126, 585, 2790, 4576, 269, 898, 2501, 538, 513, 3099, 540, 2409, 267, 855, 519, 2596, 1523, 3297, 782, 24399, 568, 519, 1482, 4534, 4555, 2014, 4606, 267, 799, 2014, 3527, 269, 1403, 2576, 16858, 547, 1689, 16609, 5615, 610, 4664, 538, 741, 2729, 267, 789, 991, 547, 1376, 676, 4657, 741, 4555, 269, 24399, 12116, 2093, 543, 5654, 585, 3270, 602, 949, 581, 4929, 5739, 3527, 269, 634, 13309, 2337, 2550, 12189, 1346, 2219, 3270, 543, 267, 538, 3257, 865, 267, 2337, 873, 1745, 1732, 543, 11883, 811, 3927, 563, 30274, 568, 835, 540, 519, 1034, 4922, 6594, 3029, 540, 21911, 267, 543, 621, 814, 1044, 3254, 547, 581, 5393, 2500, 585, 513, 3099, 540, 2790, 10108, 269, 2368, 540, 519, 2152, 602, 4431, 1134, 547, 24399, 1331, 7099, 4713, 267, 7209, 4713, 267, 4189, 4713, 267, 6219, 6057, 267, 3207, 4713, 267, 543, 2618, 5328, 4713, 269, 769, 930, 2665, 267, 24399, 814, 1044, 3254, 547, 581, 607, 2500, 610, 1256, 811, 2500, 982, 6646, 269, 2290, 540, 519, 4277, 1919, 602, 519, 3621, 1353, 540, 24399, 814, 3254, 568, 602, 24399, 2965, 2242, 519, 1259, 519, 2634, 1568, 267, 9308, 5355, 922, 1599, 563, 30274, 15320, 689, 2757, 21911, 538, 513, 1906, 1883, 2081, 269, 2290, 540, 519, 1034, 1271, 21441, 568, 519, 8561, 593, 519, 1379, 543, 5539, 540, 519, 3461, 538, 24399, 269, 634, 3461, 786, 581, 9415, 547, 581, 519, 835, 6998, 519, 2055, 538, 24399, 3797, 267, 543, 1034, 2550, 616, 8655, 6780, 547, 2347, 3544, 540, 3797, 7886, 269, 1703, 568, 513, 1523, 538, 24399, 602, 3025, 814, 1379, 519, 1379, 547, 1689, 875, 789, 1745, 267, 1256, 952, 789, 3112, 1852, 519, 3510, 267, 543, 713, 666, 581, 1360, 16779, 585, 2550, 269, 5221, 540, 713, 1379, 6521, 267, 519, 13309, 12641, 1304, 2078, 568, 711, 607, 2565, 547, 1967, 538, 24399, 607, 621, 568, 538, 824, 12331, 540, 3797, 269, 14904, 1058, 1869, 1205, 2059, 1134, 609, 741, 16293, 267, 855, 789, 798, 711, 991, 513, 2620, 267, 8200, 3929, 4276, 547, 873, 269, 7053, 267, 1317, 24399, 1419, 13000, 513, 1808, 3390, 610, 1966, 267, 621, 568, 2356, 10156, 538, 8653, 982, 2757, 3797, 269, 2755, 930, 11257, 949, 3136, 585, 1296, 267, 24399, 16569, 593, 3328, 1175, 476, 1626, 7886, 563, 291, 658, 624, 673, 10263, 10657, 454, 291, 658, 624, 673, 2623, 3797, 267, 610, 667, 6630, 267, 568, 513, 1106, 540, 5042, 2623, 3797, 630, 30274, 264, 602, 729, 8385, 2919, 547, 948, 519, 1034, 16094, 15508, 2192, 543, 20158, 2550, 3398, 3797, 269, 898, 12346, 593, 519, 1482, 1523, 538, 24399, 602, 12116, 519, 2078, 1063, 4555, 267, 4606, 267, 543, 3527, 267, 855, 538, 667, 6630, 519, 8561, 568, 1101, 593, 10343, 2864, 982, 1689, 269, 1703, 568, 849, 606, 8561, 593, 11009, 267, 1412, 7424, 538, 519, 4090, 10086, 543, 11005, 2553, 971, 607, 10649, 269, 1452, 616, 5916, 609, 513, 1390, 4308, 540, 15418, 543, 19015, 689, 519, 13309, 563, 763, 2262, 1412, 323, 658, 624, 673, 262, 1797, 9117, 998, 15852, 4229, 267, 543, 713, 2262, 4016, 547, 513, 1906, 1114, 15852, 2035, 538, 667, 6630, 912, 291, 658, 624, 673, 2623, 3797, 729, 2919, 950, 16293, 12394, 547, 946, 24399, 2553, 593, 519, 1034, 12517, 2192, 2550, 10443, 883, 513, 1966, 269, 1879, 789, 6700, 602, 513, 3461, 1689, 741, 4555, 267, 891, 1360, 7925, 2550, 1131, 1831, 16397, 543, 2490, 10728, 610, 29047, 269, 667, 6630, 729, 2919, 547, 1489, 891, 2550, 609, 10343, 543, 15418, 1247, 1869, 13057, 873, 2509, 4657, 16609, 4555, 269, 4014, 849, 1031, 585, 29047, 543, 1582, 3620, 9879, 2550, 2221, 267, 891, 2395, 267, 667, 6630, 568, 5631, 1031, 547, 1521, 8473, 1467, 7209, 4524, 269, 898, 568, 835, 540, 519, 1906, 2500, 7459, 585, 713, 3978, 4576, 563, 291, 6630, 814, 1044, 3254, 547, 581, 1360, 2500, 693, 4227, 1582, 1673, 652, 10614, 2623, 269, 898, 666, 849, 581, 1031, 547, 4001, 1007, 12003, 1983, 543, 2333, 513, 3461, 781, 1582, 12635, 543, 8404, 547, 1831, 8902, 563, 28848, 4713, 616, 2790, 543, 2168, 10108, 602, 1764, 2623, 267, 4664, 267, 543, 4555, 827, 4189, 267, 1426, 267, 1560, 5920, 267, 543, 2597, 269, 1452, 4713, 616, 6353, 676, 840, 21232, 725, 609, 1426, 543, 2168, 2450, 267, 4611, 538, 10565, 6197, 2242, 543, 8801, 1072, 2360, 269, 769, 519, 2250, 267, 4189, 4713, 941, 1419, 8995, 1210, 19483, 630, 7853, 2527, 4994, 1070, 610, 676, 12570, 2576, 781, 2597, 269, 14856, 4713, 12665, 1631, 5431, 602, 4189, 4713, 949, 2049, 538, 1004, 540, 782, 7306, 269, 634, 1034, 1455, 4189, 4713, 616, 30604, 6179, 6242, 267, 4439, 574, 807, 6179, 6242, 267, 543, 28675, 3887, 908, 4524, 630, 289, 3633, 1916, 2304, 24803, 6179, 6242, 267, 4749, 5219, 547, 607, 30604, 267, 568, 513, 4524, 1141, 1004, 16094, 6615, 519, 2010, 543, 7274, 540, 1426, 789, 3548, 269, 8409, 609, 30604, 723, 606, 3665, 4250, 540, 4189, 543, 11543, 2597, 543, 949, 14578, 9260, 2933, 610, 4497, 538, 5739, 5615, 971, 607, 7050, 3635, 610, 27781, 269, 8409, 609, 30604, 1419, 1265, 2933, 840, 31039, 609, 1426, 267, 855, 8572, 547, 8532, 513, 2635, 2179, 540, 621, 269, 901, 2164, 538, 2589, 971, 607, 25983, 958, 1970, 19483, 267, 6171, 10638, 267, 9854, 267, 535, 31021, 267, 543, 21443, 27695, 630, 331, 871, 540, 28689, 538, 2021, 1040, 1323, 24803, 949, 2014, 17824, 880, 32396, 540, 519, 3946, 267, 28221, 543, 9991, 856, 4552, 267, 5835, 880, 2960, 267, 543, 26816, 1872, 334, 630, 325, 710, 267, 1524, 344, 4552, 1040, 19382, 15860, 267, 30604, 666, 1291, 547, 1418, 5821, 267, 2634, 3441, 267, 543, 1256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 2160, 540, 26609, 779, 14628, 14015, 6174, 267, 799, 3096, 5011, 4754, 5067, 541, 547, 11571, 519, 5377, 540, 519, 5836, 6989, 267, 1519, 31393, 540, 5070, 267, 2620, 23898, 543, 27712, 563, 763, 4999, 540, 519, 5067, 541, 2029, 543, 3619, 3682, 12514, 5512, 519, 2319, 547, 811, 3927, 7114, 1761, 9072, 563, 263, 20124, 281, 4460, 631, 13238, 270, 17206, 540, 26609, 12467, 1103, 513, 1650, 4412, 8215, 538, 1804, 851, 676, 4960, 267, 835, 540, 519, 1079, 454, 8705, 680, 6951, 4362, 4505, 713, 1032, 5828, 856, 547, 723, 2123, 454, 28947, 547, 6833, 18115, 563, 2005, 729, 9112, 538, 513, 570, 14019, 26165, 267, 715, 28629, 1421, 4937, 454, 300, 582, 832, 12051, 693, 799, 6833, 18115, 779, 22516, 6039, 607, 519, 5862, 543, 454, 24404, 18115, 729, 23387, 540, 519, 1920, 4276, 547, 7077, 454, 335, 3174, 2394, 6158, 609, 1010, 4651, 513, 1906, 2395, 1991, 547, 8977, 532, 454, 1721, 519, 2063, 16939, 267, 543, 1565, 602, 1282, 519, 29053, 4674, 2676, 1492, 13108, 1572, 2390, 4937, 7763, 832, 547, 1489, 717, 5300, 2006, 538, 519, 2504, 454, 1993, 519, 1454, 32571, 543, 11684, 8731, 6244, 334, 17177, 828, 563, 2691, 646, 546, 1882, 547, 519, 454, 342, 516, 1188, 720, 267, 646, 2968, 519, 2034, 1268, 538, 1010, 1920, 547, 1353, 519, 7077, 2676, 29323, 730, 676, 513, 12732, 540, 811, 982, 5722, 5756, 563, 2108, 4415, 3877, 689, 519, 7508, 7077, 779, 2991, 11059, 18614, 6592, 454, 323, 1005, 519, 2112, 267, 649, 941, 2111, 547, 1747, 519, 14742, 2504, 538, 519, 1482, 454, 8690, 602, 1250, 22516, 5249, 607, 519, 5862, 543, 1560, 9614, 267, 594, 454, 3598, 2740, 646, 1131, 723, 1202, 4624, 782, 1560, 1740, 4947, 689, 519, 2030, 3034, 289, 550, 303, 1886, 5795, 2143, 1344, 827, 519, 1079, 4362, 14742, 454, 663, 2009, 6402, 547, 2011, 5443, 7396, 607, 7508, 538, 2962, 547, 519, 454, 23430, 540, 16470, 779, 17434, 31266, 19072, 8656, 19098, 16710, 267, 799, 949, 454, 8974, 339, 820, 6051, 3646, 1985, 1032, 563, 2691, 31179, 3722, 779, 960, 568, 2347, 2676, 28205, 786, 581, 519, 1101, 3811, 9156, 625, 5473, 713, 9241, 454, 2252, 3788, 616, 8120, 547, 6068, 3283, 267, 543, 952, 454, 9928, 27553, 568, 1459, 585, 519, 7237, 267, 646, 814, 606, 2856, 540, 1018, 547, 2503, 454, 5228, 1010, 3105, 2833, 563, 2108, 2304, 631, 8656, 1920, 2760, 8483, 1115, 2223, 646, 1767, 563, 2108, 2691, 594, 3802, 883, 513, 1753, 2676, 11004, 779, 1419, 1869, 513, 695, 9068, 269, 589, 2034, 268, 610, 3791, 22831, 1920, 454, 332, 1897, 666, 1869, 1745, 519, 2530, 1360, 9244, 1317, 789, 2760, 6785, 454, 268, 595, 25892, 2433, 1215, 28564, 303, 1886, 543, 896, 22855, 11608, 1336, 1279, 2000, 739, 24918, 17177, 1499, 454, 268, 6115, 5403, 2433, 1215, 19025, 543, 3619, 3682, 12514, 616, 4543, 9156, 4503, 24918, 14742, 454, 268, 7831, 8184, 1753, 2073, 519, 1166, 332, 540, 519, 1650, 540, 519, 645, 268, 2190, 12284, 0, 1103, 12563, 4915, 267, 13342, 568, 2808, 606, 2500, 1907, 585, 14304, 519, 4761, 1062, 1282, 513, 10006, 538, 10194, 5563, 267, 855, 519, 16392, 3601, 540, 713, 2030, 616, 11786, 1851, 7189, 563, 32546, 2161, 602, 10438, 621, 538, 1507, 9424, 568, 1434, 585, 1072, 538, 1022, 2013, 563, 1432, 616, 519, 2640, 540, 13342, 888, 294, 541, 997, 814, 519, 2702, 547, 2539, 1973, 2604, 543, 7413, 519, 11411, 593, 519, 2295, 269, 901, 10448, 666, 849, 2539, 968, 21112, 892, 8501, 267, 799, 1008, 10280, 519, 5250, 540, 19473, 4592, 13406, 5328, 29693, 13196, 269, 4746, 267, 519, 3334, 540, 519, 3742, 6219, 782, 545, 514, 2746, 609, 2699, 1973, 2281, 547, 1106, 7250, 30423, 563, 294, 541, 997, 849, 3568, 32443, 2023, 322, 1938, 1107, 6878, 9658, 1540, 676, 2371, 269, 1358, 21391, 519, 2208, 540, 4551, 543, 8290, 267, 13271, 269, 24695, 2023, 322, 1938, 711, 1152, 6146, 1486, 9926, 10394, 855, 849, 12954, 519, 2208, 540, 824, 14471, 602, 616, 21087, 1235, 547, 5739, 3029, 269, 901, 849, 2337, 4339, 15495, 538, 519, 24026, 563, 294, 541, 997, 814, 15934, 3601, 269, 634, 6219, 5956, 547, 1106, 1310, 930, 942, 950, 519, 2030, 2281, 616, 2964, 1227, 8697, 1107, 896, 2604, 950, 13342, 568, 2759, 563, 11997, 267, 538, 1931, 547, 1205, 519, 1034, 856, 540, 713, 2030, 267, 596, 991, 547, 14299, 519, 804, 913, 543, 4734, 621, 547, 9114, 1524, 585, 476, 1015, 268, 1428, 3764, 269, 4438, 713, 942, 267, 782, 545, 514, 786, 723, 942, 547, 1106, 267, 543, 13342, 666, 581, 1031, 585, 5986, 563, 1432, 568, 519, 2800, 540, 13342, 888, 294, 541, 997, 568, 513, 2864, 10728, 1587, 269, 1411, 666, 1406, 3548, 513, 2603, 540, 13342, 267, 2523, 593, 606, 8900, 7181, 269, 898, 3123, 606, 3742, 21131, 540, 23441, 10433, 267, 543, 1510, 1426, 267, 621, 568, 5739, 547, 519, 29935, 9245, 563, 8005, 12582, 1406, 3548, 13342, 888, 301, 9173, 626, 17555, 594, 341, 1662, 651, 341, 747, 3081, 602, 13342, 666, 2014, 3978, 2800, 547, 930, 3676, 563, 2108, 294, 541, 997, 568, 15333, 785, 5344, 585, 1004, 609, 1930, 7181, 21385, 269, 898, 1058, 849, 711, 581, 13881, 676, 1004, 609, 8819, 8539, 267, 799, 568, 711, 538, 1121, 2153, 855, 538, 519, 3742, 3942, 267, 543, 6151, 13342, 568, 849, 15333, 785, 5344, 269, 1403, 513, 1268, 609, 971, 513, 1966, 1869, 22655, 13342, 267, 789, 786, 1995, 1928, 543, 9636, 538, 519, 7181, 2223, 1767, 594, 341, 1662, 651, 341, 747, 563, 763, 4274, 1281, 711, 18973, 1004, 945, 798, 711, 723, 16063, 3676, 547, 6057, 13342, 563, 28490, 972, 616, 1100, 7181, 610, 15499, 2042, 267, 1100, 9636, 689, 4189, 13342, 267, 1287, 596, 666, 3548, 621, 269, 898, 786, 581, 513, 7008, 540, 804, 7174, 513, 1554, 269, 1809, 952, 972, 616, 2042, 609, 519, 16063, 8778, 267, 1256, 713, 2179, 568, 513, 2603, 2223, 519, 4274, 6045, 269, 0, 763, 623, 15876, 276, 20959, 3044, 6257, 30096, 2409, 585, 17278, 532, 5907, 17393, 793, 7214, 3959, 630, 7709, 1070, 607, 1134, 607, 519, 2359, 540, 1569, 2924, 585, 971, 7379, 267, 1519, 14842, 540, 7126, 13332, 547, 4894, 610, 6001, 1569, 1852, 269, 634, 2409, 616, 30096, 543, 267, 538, 519, 1034, 19838, 2958, 1190, 2665, 267, 5512, 4323, 10321, 602, 1450, 6051, 540, 519, 3003, 5817, 10750, 3667, 7379, 269, 25956, 725, 540, 20959, 623, 15876, 276, 949, 581, 4617, 547, 6939, 4919, 6285, 602, 1450, 606, 30429, 547, 3489, 10750, 3667, 7214, 3959, 1510, 519, 1883, 267, 1851, 824, 5222, 563, 290, 25446, 268, 20542, 910, 15303, 4919, 12983, 454, 290, 7973, 4919, 2152, 568, 513, 7121, 540, 12755, 1644, 547, 519, 1374, 543, 6388, 540, 519, 22637, 543, 8699, 540, 1239, 269, 1403, 711, 9619, 267, 519, 12755, 538, 713, 7121, 666, 1291, 547, 1239, 2298, 12159, 269, 0, 12606, 938, 4013, 2561, 543, 2259, 593, 707, 5985, 563, 19185, 6619, 585, 10898, 568, 811, 1271, 1247, 6117, 269, 1879, 6117, 267, 621, 568, 1271, 547, 11571, 519, 4155, 6619, 543, 2697, 1022, 1761, 10898, 267, 971, 607, 824, 6472, 267, 19516, 20379, 267, 13770, 743, 1235, 267, 610, 11935, 593, 519, 4155, 563, 2791, 666, 18783, 1761, 2042, 543, 1491, 3617, 2962, 547, 2057, 873, 676, 3168, 6619, 563, 18455, 3222, 540, 707, 10450, 543, 7114, 10898, 6619, 540, 942, 666, 948, 596, 1118, 2922, 543, 12905, 3664, 1247, 6117, 267, 971, 607, 23646, 1524, 267, 4657, 28961, 267, 610, 16069, 547, 2057, 513, 16580, 269, 1635, 4334, 267, 17528, 547, 1413, 6619, 585, 10898, 666, 2333, 707, 1981, 540, 1373, 3238, 538, 606, 8009, 610, 16580, 563, 4407, 824, 3344, 540, 6117, 267, 971, 607, 1073, 324, 3539, 6808, 4031, 267, 1739, 3432, 7182, 267, 543, 4509, 1852, 540, 707, 6174, 267, 616, 849, 1271, 267, 3168, 6619, 585, 10898, 568, 513, 2629, 5057, 540, 17872, 6117, 543, 666, 948, 596, 3251, 2922, 593, 519, 4155, 563, 11997, 267, 2141, 1373, 21713, 543, 3222, 540, 707, 10450, 1247, 6117, 568, 4105, 269, 0, 18455, 606, 3167, 1014, 568, 835, 540, 519, 1034, 19408, 6009, 602, 4896, 1223, 798, 269, 901, 568, 1946, 621, 779, 2629, 547, 1205, 1697, 2866, 1354, 2479, 12394, 547, 6023, 5201, 269, 2353, 519, 1482, 267, 621, 779, 2352, 547, 2057, 7063, 4625, 267, 543, 972, 616, 930, 1455, 7063, 3167, 2103, 1995, 1247, 789, 960, 269, 3367, 593, 547, 1294, 930, 540, 873, 543, 917, 519, 2556, 15416, 602, 596, 991, 547, 1491, 269, 23560, 713, 786, 2087, 707, 8458, 540, 9319, 606, 5945, 543, 5329, 3054, 2922, 1247, 596, 960, 865, 596, 666, 2057, 513, 4600, 685, 13180, 2013, 563, 763, 1034, 1455, 5945, 585, 3167, 2103, 568, 3478, 6850, 322, 3176, 269, 4438, 606, 5122, 10380, 267, 621, 779, 1271, 547, 1491, 7850, 3106, 3800, 538, 1931, 547, 7413, 519, 1981, 540, 7092, 606, 5122, 8710, 269, 2755, 713, 568, 835, 540, 519, 1455, 7063, 3167, 2103, 1995, 1317, 621, 10416, 2501, 609, 519, 8513, 267, 621, 666, 581, 14603, 543, 602, 568, 1946, 621, 779, 1271, 547, 1491, 3106, 3800, 563, 4322, 1331, 9849, 519, 2953, 3106, 10591, 543, 1818, 2386, 602, 596, 723, 2312, 2792, 609, 707, 12284, 269, 1411, 849, 991, 547, 3251, 1445, 338, 539, 593, 519, 4305, 693, 1688, 543, 2638, 707, 960, 7466, 267, 543, 1256, 4278, 823, 269, 898, 2760, 9292, 1206, 547, 581, 5595, 1606, 675, 1317, 519, 1981, 568, 1164, 2614, 547, 15549, 519, 15416, 269, 5901, 538, 2247, 602, 1256, 952, 972, 5749, 1406, 1022, 17236, 1310, 606, 5122, 8710, 607, 1004, 616, 1031, 547, 267, 972, 779, 1869, 513, 1164, 1761, 540, 5945, 563, 16978, 3740, 8710, 666, 2014, 2855, 15219, 8926, 267, 519, 2530, 540, 9637, 267, 7411, 7244, 267, 17465, 267, 543, 13487, 10654, 269, 1306, 971, 267, 621, 779, 1271, 547, 798, 707, 1655, 547, 1118, 2386, 602, 9444, 596, 6862, 519, 2818, 540, 707, 12284, 616, 693, 1981, 540, 3478, 6850, 322, 3176, 269, 5221, 596, 3580, 946, 707, 3946, 547, 6023, 1272, 12904, 543, 5122, 2645, 267, 621, 779, 1455, 602, 1034, 5122, 8710, 7063, 786, 1860, 519, 3946, 563, 289, 5281, 616, 1776, 835, 540, 519, 1455, 7063, 3167, 2103, 1995, 269, 901, 568, 2523, 3020, 538, 519, 2013, 950, 835, 568, 2324, 609, 513, 2661, 1699, 269, 1403, 596, 2097, 883, 1463, 3346, 609, 513, 2661, 5911, 267, 513, 6633, 786, 1419, 1267, 269, 901, 949, 581, 513, 1101, 24266, 6633, 267, 799, 568, 5634, 855, 1869, 3833, 11213, 269, 901, 5945, 5222, 519, 2960, 779, 9018, 4494, 267, 4929, 25017, 543, 11926, 269, 6271, 6633, 602, 949, 2049, 1282, 606, 5122, 11443, 8009, 568, 513, 2034, 24266, 6633, 269, 901, 4422, 4514, 982, 513, 1101, 24266, 6633, 543, 5012, 547, 1025, 3563, 532, 269, 634, 3791, 1826, 540, 6633, 602, 949, 2049, 568, 519, 1034, 3978, 267, 543, 621, 779, 513, 3791, 24266, 6633, 269, 901, 5945, 14796, 782, 519, 6106, 540, 519, 2960, 607, 1134, 607, 13285, 267, 8031, 267, 543, 6091, 267, 543, 621, 949, 723, 513, 3982, 3668, 540, 1928, 563, 16605, 538, 2247, 602, 621, 779, 2009, 547, 1995, 513, 6633, 1256, 952, 596, 1810, 1406, 1205, 883, 1463, 3346, 609, 513, 2648, 5911, 269, 901, 568, 1317, 9095, 1025, 6814, 543, 30303, 666, 2014, 8143, 17236, 267, 799, 616, 1100, 9762, 716, 17236, 269, 1323, 9095, 19046, 610, 8755, 4386, 950, 3532, 14768, 540, 1164, 993, 704, 720, 2951, 998, 519, 2011, 269, 1452, 3002, 519, 2011, 547, 5210, 602, 666, 979, 607, 1164, 607, 476, 3607, 267, 1822, 5232, 18278, 269, 1306, 513, 1267, 267, 513, 3978, 6633, 666, 2049, 547, 4896, 538, 519, 2619, 540, 606, 9095, 19046, 563, 2026, 609, 5122, 8710, 267, 621, 779, 2629, 547, 5957, 3106, 10591, 950, 2324, 609, 2661, 12904, 269, 1411, 849, 991, 547, 723, 519, 1318, 2645, 543, 3937, 609, 596, 952, 596, 1616, 547, 2327, 602, 596, 666, 960, 9108, 543, 7561, 269, 898, 779, 1271, 547, 4063, 602, 596, 666, 849, 1995, 543, 4835, 6633, 689, 5201, 1317, 519, 1699, 949, 2951, 998, 707, 1560, 269, 1306, 971, 267, 4105, 8219, 949, 581, 18385, 8697, 269, 898, 949, 581, 2352, 547, 1521, 17236, 543, 6281, 5563, 4122, 2049, 607, 513, 1267, 269, 2334, 1767, 267, 596, 991, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 514, 4436, 1040, 19124, 632, 30421, 344, 614, 269, 533, 269, 476, 5038, 278, 269, 9768, 476, 7818, 268, 274, 268, 1556, 268, 271, 2537, 278, 6858, 268, 273, 563, 268, 3627, 570, 269, 918, 5255, 267, 834, 763, 7503, 543, 519, 5912, 689, 10021, 1438, 547, 6196, 9721, 2580, 661, 2006, 807, 476, 1724, 267, 476, 1960, 276, 0, 1103, 519, 4947, 1296, 267, 513, 1297, 540, 1007, 7835, 538, 1216, 2126, 4066, 616, 2469, 547, 948, 1118, 519, 1216, 2922, 585, 6704, 267, 28876, 267, 543, 12555, 563, 3080, 540, 519, 1034, 9621, 7835, 538, 891, 2127, 568, 602, 621, 786, 1450, 585, 519, 946, 540, 968, 13582, 892, 1216, 538, 519, 2126, 1184, 267, 609, 1100, 5739, 6878, 1373, 5950, 883, 519, 1604, 563, 1607, 786, 581, 2009, 1317, 519, 3114, 6547, 616, 31181, 267, 543, 972, 568, 1100, 991, 585, 1022, 3114, 21187, 538, 519, 1216, 563, 2690, 519, 5301, 540, 713, 2376, 267, 649, 786, 946, 519, 2165, 968, 13582, 1216, 892, 547, 3277, 547, 1216, 5701, 538, 713, 1259, 267, 543, 946, 2474, 899, 968, 13582, 21226, 2126, 892, 547, 5815, 602, 713, 568, 606, 13476, 7874, 2029, 563, 2080, 779, 513, 15059, 540, 1018, 649, 1611, 950, 649, 2911, 827, 968, 13582, 2126, 892, 1934, 563, 16675, 1216, 568, 519, 1034, 13476, 7874, 1216, 2126, 1184, 1703, 616, 513, 1297, 4066, 602, 723, 1044, 2919, 538, 2487, 1296, 547, 1521, 1216, 538, 713, 6073, 267, 799, 723, 8810, 547, 581, 1312, 2500, 543, 1942, 15807, 563, 3080, 971, 2029, 568, 519, 968, 13582, 518, 892, 1216, 2126, 563, 1607, 2029, 3322, 519, 946, 519, 946, 513, 2067, 1587, 602, 814, 1044, 29881, 547, 513, 1360, 1164, 1377, 540, 19454, 267, 543, 1287, 513, 3126, 540, 3114, 6547, 602, 723, 519, 2702, 547, 968, 516, 23983, 569, 892, 2981, 621, 883, 513, 811, 13476, 7874, 1587, 563, 1103, 1840, 547, 713, 2029, 267, 972, 568, 513, 2029, 602, 814, 5063, 1044, 2919, 602, 3096, 606, 4244, 547, 1216, 2126, 1572, 513, 968, 5139, 549, 268, 31516, 892, 2126, 563, 288, 8652, 268, 750, 332, 1023, 1184, 3322, 519, 8022, 540, 1216, 547, 1711, 9252, 563, 1607, 1184, 7472, 513, 2603, 540, 3002, 267, 799, 538, 2490, 7472, 513, 1978, 2179, 540, 5201, 563, 1607, 5201, 568, 1287, 6740, 538, 513, 3926, 1572, 513, 6007, 267, 543, 519, 2179, 540, 1648, 602, 666, 581, 6740, 538, 519, 6007, 666, 581, 6417, 998, 513, 1184, 1572, 968, 31516, 7269, 9731, 1607, 1184, 568, 1360, 1648, 3608, 543, 814, 513, 1360, 1970, 1942, 563, 4913, 267, 519, 17498, 728, 547, 713, 1505, 568, 602, 519, 3002, 568, 5950, 883, 938, 1604, 563, 3080, 1383, 540, 713, 568, 519, 5305, 540, 20342, 267, 513, 3114, 602, 568, 1419, 1031, 607, 513, 676, 1790, 6055, 538, 519, 5478, 540, 18168, 543, 13851, 563, 1103, 930, 2477, 267, 621, 568, 10363, 547, 946, 20342, 538, 6683, 267, 543, 865, 713, 666, 723, 606, 8801, 1764, 593, 6705, 945, 946, 20342, 547, 6992, 1125, 741, 4610, 563, 763, 1482, 3390, 666, 581, 2938, 609, 824, 6464, 1031, 538, 519, 2504, 540, 13226, 267, 13851, 267, 543, 1082, 824, 2472, 563, 5194, 1271, 3390, 568, 519, 946, 543, 12871, 540, 713, 1216, 563, 1607, 568, 1141, 519, 1216, 2126, 2029, 2731, 31438, 563, 763, 1184, 602, 649, 616, 6158, 827, 538, 713, 2376, 3096, 513, 1184, 602, 568, 1312, 13476, 7874, 543, 1942, 2500, 563, 2005, 779, 513, 968, 13582, 2029, 892, 1317, 519, 1216, 568, 1031, 538, 513, 1259, 602, 568, 13476, 7874, 563, 1607, 2636, 585, 519, 1216, 547, 581, 5701, 609, 513, 2539, 1377, 540, 6757, 6464, 267, 543, 547, 849, 581, 13381, 267, 2864, 982, 1373, 6740, 538, 25087, 610, 1373, 1031, 607, 1216, 2126, 6464, 563, 763, 5383, 540, 1210, 513, 3039, 2029, 769, 519, 2013, 540, 513, 968, 16675, 1216, 892, 2126, 267, 972, 616, 1079, 1292, 5383, 547, 1210, 713, 1505, 563, 763, 1101, 835, 568, 602, 1216, 568, 5701, 538, 513, 5266, 2973, 1604, 563, 7712, 519, 1216, 602, 568, 1373, 5701, 568, 5701, 609, 606, 5214, 3070, 267, 972, 1058, 581, 2370, 547, 1100, 6464, 1373, 5950, 689, 519, 1216, 883, 519, 5790, 563, 5194, 5413, 568, 602, 972, 568, 2370, 547, 723, 547, 946, 547, 1711, 519, 1216, 267, 543, 2094, 519, 1216, 2501, 689, 513, 2707, 602, 568, 1634, 547, 581, 2973, 267, 621, 1058, 581, 5266, 2653, 547, 22120, 563, 5194, 4324, 540, 1210, 519, 968, 16675, 892, 1216, 2029, 568, 602, 713, 2029, 568, 711, 3908, 547, 1216, 602, 814, 2907, 1044, 5701, 563, 2005, 568, 2009, 547, 3132, 513, 1216, 2126, 602, 786, 581, 811, 3608, 982, 1022, 824, 1826, 540, 2126, 602, 568, 2139, 563, 1103, 519, 1184, 540, 1210, 713, 968, 13582, 10509, 5608, 649, 666, 1205, 2476, 609, 1447, 6464, 1373, 1031, 547, 1118, 519, 1184, 267, 543, 649, 666, 22120, 811, 540, 519, 1216, 950, 621, 568, 711, 2877, 563, 763, 2034, 2101, 5413, 540, 1210, 968, 16675, 4826, 892, 568, 602, 267, 1247, 519, 1216, 949, 711, 581, 2139, 585, 19074, 267, 621, 666, 581, 13381, 538, 824, 2081, 563, 2690, 1383, 267, 513, 2603, 666, 581, 2944, 609, 1216, 689, 513, 3484, 610, 606, 6694, 2244, 267, 799, 666, 581, 1031, 547, 1521, 16894, 563, 2467, 616, 930, 7687, 547, 713, 968, 16675, 2029, 5608, 2705, 563, 2467, 568, 519, 3390, 540, 1216, 602, 2501, 689, 519, 5836, 267, 543, 930, 2010, 540, 1216, 616, 711, 2808, 968, 13582, 5608, 1256, 1498, 789, 723, 513, 1454, 2362, 1377, 540, 17694, 538, 873, 563, 763, 1216, 1031, 585, 891, 2010, 540, 3785, 568, 849, 1360, 6757, 547, 3165, 543, 824, 12748, 1272, 563, 5194, 3390, 602, 2115, 547, 581, 9619, 568, 602, 2094, 649, 616, 1210, 513, 1184, 609, 513, 1360, 1279, 14438, 267, 972, 1223, 581, 2042, 609, 875, 519, 1216, 786, 2085, 936, 519, 1576, 540, 922, 1272, 267, 799, 1223, 723, 513, 2942, 1764, 593, 519, 1216, 779, 1072, 563, 2467, 814, 849, 1044, 930, 15784, 1472, 519, 1761, 585, 519, 968, 12850, 585, 18972, 892, 1982, 267, 799, 568, 513, 1788, 538, 799, 519, 772, 2529, 269, 568, 1210, 1216, 689, 519, 12084, 547, 948, 3049, 519, 17237, 538, 3384, 2477, 563, 7212, 972, 616, 930, 2640, 547, 1210, 519, 1216, 585, 3425, 267, 519, 0, 288, 7250, 14617, 13660, 1090, 1314, 17088, 2599, 286, 898, 1223, 2965, 4755, 454, 2691, 621, 2501, 547, 6472, 602, 6287, 543, 688, 592, 267, 14874, 2766, 335, 6559, 5434, 568, 513, 3787, 540, 513, 16602, 3364, 1317, 519, 9075, 616, 267, 6038, 267, 2864, 1804, 543, 5230, 269, 12025, 543, 2597, 20507, 616, 849, 513, 4641, 585, 6007, 3167, 18213, 6472, 267, 855, 789, 616, 3226, 1713, 585, 5010, 6472, 267, 1141, 789, 2047, 1860, 519, 5021, 15951, 31139, 269, 634, 3070, 267, 2687, 547, 513, 32068, 16669, 3761, 2754, 267, 1223, 581, 7250, 14617, 13660, 1090, 1314, 17088, 9817, 563, 8505, 558, 12067, 5240, 2342, 5063, 12038, 609, 32068, 11653, 10842, 334, 667, 636, 732, 344, 267, 13653, 543, 16628, 540, 623, 4875, 6828, 267, 799, 814, 513, 3099, 540, 16669, 3761, 6703, 2066, 2342, 269, 2290, 540, 1346, 6703, 2443, 513, 4073, 1068, 1778, 4702, 1950, 538, 5695, 514, 267, 7977, 267, 799, 623, 4875, 11751, 689, 4937, 7763, 832, 1310, 621, 24013, 4319, 689, 519, 3864, 2344, 2443, 568, 2324, 593, 14291, 10648, 779, 476, 277, 269, 277, 299, 13660, 1090, 1314, 17088, 2599, 269, 2073, 1336, 538, 6472, 899, 519, 4258, 341, 549, 2280, 18234, 5964, 18074, 543, 717, 10157, 23683, 18074, 269, 2073, 538, 513, 2973, 7250, 1532, 9506, 1379, 2030, 563, 1607, 13660, 1090, 1314, 17088, 2861, 7250, 2599, 786, 4196, 607, 519, 1283, 1439, 540, 513, 7250, 2599, 1920, 602, 786, 849, 1331, 513, 476, 273, 269, 271, 299, 2185, 268, 1097, 331, 5407, 543, 513, 476, 274, 269, 271, 299, 966, 277, 269, 1058, 2039, 689, 827, 476, 8099, 547, 476, 25851, 7504, 12741, 563, 763, 2930, 2591, 540, 7250, 454, 26807, 569, 267, 667, 636, 732, 344, 8098, 1080, 602, 972, 616, 513, 2603, 540, 2930, 23665, 547, 7753, 269, 1280, 1383, 267, 646, 3081, 267, 968, 5139, 4088, 17236, 5722, 2053, 5488, 982, 17088, 267, 865, 596, 991, 547, 2539, 519, 2837, 538, 519, 13674, 12068, 892, 585, 1434, 13674, 269, 968, 12850, 13297, 568, 513, 8810, 2029, 585, 3257, 713, 267, 855, 513, 2942, 2427, 1198, 568, 602, 621, 5932, 14809, 3034, 4517, 1287, 972, 779, 519, 3390, 540, 19149, 566, 267, 799, 568, 968, 534, 1278, 1761, 1966, 585, 606, 2599, 602, 11148, 547, 581, 1360, 3819, 2223, 3081, 667, 636, 732, 344, 269, 968, 8967, 2001, 19149, 566, 568, 519, 1152, 3070, 3034, 763, 1964, 540, 519, 10648, 13660, 1090, 1314, 17088, 2599, 2115, 5266, 2370, 7250, 547, 2196, 7561, 267, 2687, 547, 667, 636, 732, 344, 269, 901, 2882, 930, 5634, 2242, 547, 519, 12718, 2212, 543, 267, 540, 1576, 267, 606, 936, 3873, 592, 540, 519, 13297, 543, 1852, 1949, 563, 2026, 547, 1946, 623, 4875, 6828, 568, 2324, 593, 14291, 17088, 9817, 3079, 540, 4620, 1503, 9817, 547, 2196, 593, 7250, 267, 972, 616, 1079, 1292, 4128, 281, 10333, 1107, 607, 623, 4875, 2907, 6585, 519, 1318, 547, 6133, 13660, 1090, 1314, 476, 277, 17088, 267, 476, 277, 700, 10876, 4849, 519, 7330, 1107, 543, 15006, 269, 968, 17457, 10523, 1564, 616, 2966, 547, 2063, 476, 12573, 267, 1822, 5998, 2223, 6941, 667, 636, 732, 344, 267, 968, 6112, 17405, 9817, 1496, 732, 316, 2966, 547, 2063, 5111, 476, 7742, 267, 1822, 5998, 269, 1656, 667, 636, 732, 344, 25221, 602, 607, 811, 2477, 2569, 3560, 5434, 676, 12145, 610, 7333, 940, 519, 9042, 540, 1007, 4835, 13674, 6472, 267, 811, 17088, 2371, 538, 2342, 786, 23366, 2408, 585, 9042, 563, 3383, 267, 786, 649, 2479, 1294, 513, 7250, 14617, 623, 4875, 13660, 1090, 1314, 17088, 2599, 538, 519, 3345, 1977, 2344, 4258, 341, 549, 2280, 18234, 5964, 18074, 610, 717, 10157, 23683, 18074, 286, 898, 779, 513, 7872, 282, 623, 4875, 6828, 3085, 1406, 723, 519, 2924, 547, 519, 476, 277, 269, 277, 299, 13660, 1090, 1314, 17088, 538, 519, 2475, 267, 855, 621, 1281, 723, 519, 2475, 2924, 547, 922, 7250, 4528, 267, 543, 519, 27229, 1970, 6952, 2557, 1223, 1611, 621, 9327, 1406, 1118, 2631, 269, 585, 10648, 547, 1020, 543, 5478, 922, 1378, 1114, 7250, 14617, 13660, 1090, 1314, 966, 279, 269, 1809, 1810, 1406, 3180, 707, 7362, 585, 835, 540, 623, 4875, 779, 7250, 9817, 547, 2244, 538, 513, 1769, 18213, 6174, 20471, 4166, 269, 667, 636, 732, 344, 3085, 1406, 3494, 972, 779, 513, 8903, 2013, 585, 713, 1769, 1673, 14280, 6174, 5434, 3070, 1317, 519, 7250, 4492, 7382, 267, 1247, 1769, 267, 568, 1804, 2614, 547, 1118, 11183, 513, 4161, 563, 2108, 4407, 519, 2597, 540, 519, 7382, 568, 513, 6824, 540, 513, 6007, 3640, 1107, 1472, 476, 2004, 4846, 3379, 547, 1896, 4627, 13532, 585, 9075, 1107, 519, 7382, 3340, 513, 2230, 540, 1472, 476, 1911, 30184, 2223, 6941, 667, 636, 732, 344, 269, 968, 2005, 779, 513, 1713, 11183, 4161, 952, 596, 1616, 547, 3514, 519, 7382, 538, 519, 17657, 540, 513, 6822, 534, 269, 898, 779, 1256, 811, 16609, 609, 24011, 10587, 269, 0, 763, 1523, 540, 6531, 7384, 7389, 547, 519, 476, 4198, 271, 338, 950, 1804, 8397, 1292, 325, 29707, 609, 1164, 31891, 4393, 1379, 2968, 2139, 563, 30208, 7384, 568, 606, 4720, 540, 2029, 936, 942, 454, 1103, 1931, 547, 1118, 3608, 946, 540, 519, 7384, 1379, 540, 1292, 325, 29707, 267, 519, 2259, 540, 942, 6879, 2130, 267, 610, 4199, 7535, 532, 267, 7960, 269, 4635, 31945, 23525, 267, 4171, 6852, 3483, 729, 547, 7520, 1569, 547, 519, 1292, 325, 29707, 267, 2789, 3755, 941, 2111, 547, 1569, 519, 1482, 1239, 4859, 4494, 543, 17765, 1379, 689, 1022, 12363, 563, 1103, 519, 476, 3192, 271, 338, 267, 609, 519, 5305, 540, 606, 5665, 1062, 1572, 14044, 10724, 630, 30470, 1070, 621, 2968, 2009, 585, 1292, 325, 29707, 547, 723, 2789, 5691, 1949, 267, 610, 5691, 6191, 267, 593, 513, 2582, 2168, 6843, 563, 763, 5691, 3684, 5665, 1062, 7960, 519, 476, 4198, 271, 338, 3498, 540, 3838, 1569, 540, 513, 1292, 18134, 676, 3850, 2789, 3982, 12337, 5054, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 274, 2870, 1568, 11855, 13366, 476, 275, 4295, 2609, 540, 1568, 11855, 13366, 476, 276, 19696, 2959, 538, 269, 3371, 568, 606, 2376, 593, 1557, 3898, 2953, 1557, 3898, 568, 513, 4062, 540, 14735, 952, 596, 1224, 713, 2376, 952, 596, 991, 547, 2328, 606, 15986, 2511, 1557, 563, 763, 2413, 1893, 7681, 4030, 827, 15986, 2511, 689, 519, 15986, 779, 15769, 3732, 1382, 4574, 5528, 593, 11249, 1382, 4574, 269, 3657, 596, 2348, 513, 4161, 11249, 707, 1957, 538, 519, 15986, 2511, 798, 596, 991, 15986, 3898, 948, 689, 12031, 6169, 15105, 543, 11049, 269, 631, 5055, 3898, 568, 513, 2511, 540, 1603, 543, 19696, 8100, 2919, 676, 519, 2413, 1893, 7681, 543, 3370, 538, 519, 15986, 25156, 585, 5830, 540, 1382, 4574, 269, 1452, 3732, 3817, 538, 15986, 3898, 786, 3391, 596, 607, 596, 2328, 543, 12575, 707, 15986, 1164, 1153, 1957, 1451, 547, 3898, 513, 1957, 538, 512, 12350, 1014, 2511, 563, 300, 5055, 2985, 3898, 585, 3594, 2413, 1893, 7681, 540, 606, 1557, 610, 824, 1957, 1058, 1775, 1826, 1250, 2012, 693, 519, 4098, 269, 631, 5055, 2511, 1557, 11249, 281, 19114, 267, 13944, 267, 1899, 19437, 267, 20927, 267, 9623, 3625, 267, 2140, 267, 25034, 566, 267, 3625, 10839, 267, 1568, 11855, 585, 513, 13973, 540, 713, 3381, 267, 726, 563, 11947, 2557, 2123, 3948, 5856, 1826, 1250, 1557, 15986, 3898, 5098, 1603, 948, 538, 15242, 2688, 16075, 1557, 476, 1001, 274, 269, 14474, 1154, 513, 1382, 1957, 952, 707, 14357, 814, 1808, 4170, 585, 519, 3898, 540, 707, 1382, 1957, 267, 2638, 547, 1224, 1007, 9708, 543, 10311, 827, 15986, 2511, 269, 5221, 519, 15986, 3898, 568, 7833, 543, 2653, 547, 946, 875, 547, 1305, 909, 513, 15986, 3898, 538, 2890, 7809, 2262, 1826, 707, 2063, 2012, 543, 513, 2582, 2230, 269, 4813, 5597, 568, 513, 2347, 15986, 11249, 1907, 585, 11112, 1053, 1394, 538, 1153, 1100, 1995, 609, 15986, 3898, 568, 2838, 547, 946, 3898, 1227, 2119, 621, 1631, 585, 1863, 269, 0, 7212, 922, 6228, 814, 1044, 16143, 585, 811, 982, 29235, 1296, 267, 519, 6968, 585, 4158, 2339, 5170, 267, 607, 21575, 1472, 519, 1158, 3801, 547, 3950, 621, 1524, 269, 2107, 616, 789, 782, 1175, 31743, 606, 21903, 888, 763, 3355, 1239, 10356, 676, 519, 6293, 717, 6938, 309, 14510, 267, 585, 513, 5182, 2282, 519, 9649, 3109, 8559, 4092, 693, 519, 4099, 540, 938, 14925, 267, 25495, 519, 11236, 540, 2489, 25536, 538, 519, 1034, 3665, 2175, 563, 763, 6129, 568, 835, 540, 519, 3803, 7164, 4395, 4536, 538, 938, 9891, 3590, 269, 901, 4864, 267, 513, 16785, 729, 9250, 547, 7747, 713, 5182, 538, 13778, 1469, 267, 543, 6251, 982, 2479, 1354, 269, 634, 6662, 568, 547, 4194, 1079, 540, 519, 6574, 13655, 538, 28936, 12695, 563, 763, 28031, 5652, 2623, 540, 606, 20503, 602, 4422, 1996, 519, 2095, 540, 1034, 824, 18477, 4703, 538, 938, 9891, 3590, 19430, 513, 3943, 5174, 571, 7588, 1014, 3621, 5918, 334, 547, 5490, 883, 922, 8129, 269, 1656, 3605, 606, 19366, 689, 513, 5182, 1062, 3564, 938, 1378, 563, 1103, 519, 476, 736, 1296, 2094, 621, 2451, 3047, 585, 21275, 267, 519, 18706, 7236, 6953, 8500, 326, 839, 5692, 814, 1500, 7415, 8906, 267, 547, 519, 1448, 540, 4657, 938, 3003, 1620, 540, 519, 9891, 3590, 269, 4706, 20498, 1439, 1862, 0, 13981, 602, 5548, 1392, 912, 306, 924, 6651, 585, 11334, 543, 14268, 454, 23277, 777, 540, 15345, 21036, 267, 27228, 6537, 676, 2011, 21166, 12681, 674, 1551, 715, 13616, 2934, 16456, 13475, 267, 519, 16713, 5211, 267, 543, 606, 2011, 7615, 563, 268, 3938, 17940, 540, 519, 2817, 19964, 543, 19475, 10029, 454, 763, 2038, 1296, 540, 3013, 781, 2011, 21166, 3028, 454, 684, 9110, 1091, 883, 513, 1650, 540, 27265, 267, 4199, 6888, 267, 10100, 2676, 663, 5647, 602, 1915, 3278, 519, 21722, 5736, 540, 18229, 563, 2005, 568, 513, 1686, 602, 13315, 519, 9542, 540, 1007, 2029, 543, 20174, 547, 4101, 960, 269, 10812, 454, 28205, 3584, 267, 2689, 519, 6859, 540, 519, 2238, 267, 543, 454, 31742, 519, 6402, 543, 2200, 547, 1451, 811, 593, 519, 1641, 563, 11917, 16633, 267, 23527, 1299, 6520, 5426, 585, 11242, 454, 29613, 553, 585, 11242, 454, 1492, 1849, 10796, 281, 634, 5794, 680, 6951, 267, 596, 786, 1224, 827, 2038, 27858, 454, 4310, 676, 519, 5403, 8433, 269, 1411, 666, 1451, 519, 2694, 540, 606, 20987, 2676, 10233, 513, 7792, 2985, 267, 543, 1449, 707, 3965, 609, 606, 593, 11060, 454, 1515, 21166, 16826, 2534, 563, 1492, 1530, 520, 540, 4256, 623, 1218, 281, 634, 15815, 1824, 786, 2285, 596, 513, 2631, 454, 1993, 10760, 606, 2011, 8905, 543, 930, 540, 519, 10898, 21804, 949, 454, 17647, 5185, 269, 1411, 786, 1451, 827, 519, 1272, 540, 513, 12681, 676, 11264, 513, 6450, 639, 267, 2542, 606, 7045, 1650, 267, 543, 7311, 707, 1007, 1922, 895, 1702, 547, 18138, 513, 2845, 1504, 7127, 543, 513, 556, 6088, 4528, 540, 606, 4013, 2011, 21166, 1106, 563, 1103, 2617, 566, 568, 513, 18596, 6249, 538, 519, 1686, 454, 1993, 2011, 21166, 543, 8184, 269, 10812, 519, 5876, 540, 519, 2011, 21166, 454, 335, 7748, 619, 998, 519, 28645, 16743, 3584, 543, 6427, 454, 20365, 1378, 3435, 547, 4948, 2042, 563, 663, 4653, 1299, 2052, 1411, 21023, 888, 2419, 5190, 519, 632, 32147, 650, 663, 667, 295, 268, 275, 1299, 5269, 898, 14568, 454, 2421, 519, 1530, 520, 540, 2659, 623, 1218, 1299, 23560, 2659, 7454, 454, 2252, 596, 6999, 547, 5490, 4514, 267, 1413, 585, 519, 1082, 454, 31904, 547, 519, 1292, 1686, 3296, 540, 713, 3896, 269, 0, 763, 19257, 2928, 540, 9085, 454, 4322, 10565, 2621, 31539, 519, 4838, 540, 476, 16928, 280, 782, 519, 1259, 998, 519, 12668, 540, 519, 681, 4680, 547, 18548, 10290, 1765, 321, 648, 606, 8626, 27274, 3638, 7556, 538, 3332, 269, 3502, 1152, 538, 4207, 3440, 6758, 543, 22521, 14235, 607, 2621, 11200, 539, 282, 13604, 891, 3177, 519, 2339, 585, 519, 1034, 1271, 1568, 540, 519, 1007, 1480, 626, 1686, 543, 12092, 267, 540, 2757, 2239, 6965, 267, 540, 1312, 10906, 534, 3140, 1603, 543, 12225, 1834, 4249, 593, 519, 3942, 28285, 538, 9956, 779, 1686, 13807, 904, 269, 898, 568, 607, 952, 519, 1719, 538, 519, 27314, 1650, 540, 519, 3105, 2540, 267, 609, 922, 1474, 3691, 267, 1973, 3613, 7134, 4755, 902, 267, 17680, 5529, 519, 1857, 2247, 811, 543, 811, 607, 519, 10906, 534, 2085, 18009, 2989, 547, 922, 1378, 9740, 269, 2986, 1576, 267, 519, 4655, 1063, 19903, 2120, 543, 3840, 3177, 5386, 1570, 585, 12583, 543, 4249, 282, 855, 621, 3217, 811, 982, 602, 547, 2272, 585, 621, 269, 898, 568, 851, 540, 519, 15398, 1582, 18221, 267, 519, 9637, 540, 519, 2250, 607, 851, 540, 1459, 1995, 267, 602, 568, 1129, 958, 8984, 540, 519, 10906, 534, 2085, 269, 9956, 5128, 267, 899, 782, 519, 6574, 3860, 5830, 267, 729, 513, 18807, 23302, 812, 267, 6273, 676, 519, 2250, 563, 21292, 293, 604, 18818, 11416, 19881, 11416, 11300, 27752, 5398, 9650, 2296, 3778, 454, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 563, 268, 476, 272, 7868, 1404, 568, 9102, 607, 606, 30569, 547, 634, 6936, 3004, 3022, 344, 540, 9400, 8633, 267, 1196, 269, 4446, 1258, 12197, 269, 9956, 17502, 1421, 476, 7277, 275, 32155, 10104, 0, 1103, 341, 5235, 540, 11870, 663, 599, 12833, 5235, 540, 11870, 22929, 12833, 5235, 540, 11870, 22929, 634, 12833, 5235, 540, 11870, 22929, 568, 4122, 9833, 267, 607, 519, 667, 28233, 267, 543, 519, 2680, 7018, 593, 476, 3707, 275, 1282, 519, 5822, 2622, 2782, 267, 1310, 4436, 13567, 540, 5333, 7498, 12606, 3758, 547, 1294, 3105, 3817, 2483, 272, 634, 11870, 22929, 12833, 5235, 568, 9833, 607, 519, 1158, 779, 6574, 4108, 5106, 267, 1317, 621, 21490, 519, 1259, 585, 519, 19802, 540, 5333, 267, 543, 519, 7127, 540, 519, 20466, 4229, 883, 2342, 269, 634, 1957, 8942, 547, 1865, 519, 4128, 585, 713, 12289, 267, 7282, 519, 2856, 602, 519, 3375, 9863, 547, 581, 513, 17709, 3903, 267, 2094, 621, 3366, 519, 16586, 547, 21704, 5176, 476, 1556, 3275, 267, 1310, 519, 12289, 269, 476, 273, 2290, 1058, 1174, 602, 11870, 22929, 729, 6074, 267, 1317, 540, 922, 7580, 4087, 269, 634, 3375, 729, 711, 17149, 269, 898, 2838, 6297, 4058, 269, 4595, 519, 25569, 13012, 2782, 538, 2342, 267, 11870, 22929, 1185, 711, 2938, 1022, 12289, 269, 4475, 267, 972, 729, 1100, 1259, 519, 16586, 1223, 723, 4397, 606, 4323, 689, 713, 1858, 267, 2094, 972, 941, 1100, 16788, 538, 519, 1858, 269, 476, 274, 634, 1858, 585, 519, 12289, 729, 6074, 729, 1063, 22216, 13118, 326, 543, 2274, 32147, 516, 267, 543, 621, 729, 14191, 547, 519, 7832, 566, 16788, 538, 4789, 269, 898, 1185, 28565, 267, 799, 3366, 547, 8303, 269, 634, 5032, 849, 6035, 519, 1655, 13941, 4025, 267, 543, 513, 7404, 2823, 267, 799, 519, 27469, 1185, 547, 28958, 269, 769, 1249, 267, 11870, 22929, 849, 9863, 547, 581, 2673, 2614, 547, 2327, 602, 25142, 4566, 1223, 581, 771, 6312, 3481, 585, 19666, 26645, 267, 2059, 609, 513, 9381, 4323, 269, 476, 275, 769, 602, 1880, 4832, 540, 476, 3707, 275, 267, 3670, 20679, 543, 6634, 540, 2367, 10692, 543, 519, 1747, 729, 9927, 883, 513, 1973, 8602, 267, 2394, 13609, 779, 4229, 9788, 1524, 741, 8878, 269, 16828, 267, 519, 4155, 547, 8303, 729, 23498, 267, 543, 519, 20466, 7001, 540, 5333, 729, 2347, 269, 476, 276, 2755, 3025, 6785, 602, 519, 27469, 941, 547, 4323, 4166, 267, 865, 602, 789, 1223, 723, 1569, 547, 5333, 267, 519, 2243, 729, 519, 3169, 4087, 540, 519, 4323, 269, 4475, 267, 519, 3693, 540, 9983, 729, 849, 835, 540, 519, 4128, 267, 1946, 11870, 22929, 729, 6074, 269, 634, 21647, 941, 4397, 606, 4323, 2282, 2836, 9820, 267, 2094, 519, 1747, 1185, 606, 1569, 547, 513, 2620, 21226, 2823, 269, 277, 9747, 267, 519, 1544, 729, 538, 971, 513, 1259, 602, 519, 10136, 540, 1142, 2197, 538, 519, 20466, 4229, 1131, 7001, 3180, 540, 519, 17822, 1101, 267, 12077, 2947, 17822, 538, 11870, 22929, 543, 1287, 1847, 24654, 269, 4595, 519, 17822, 1185, 1100, 3771, 26092, 267, 789, 941, 547, 581, 5423, 31567, 267, 543, 19632, 693, 1488, 668, 534, 2583, 538, 519, 3703, 5823, 267, 543, 519, 824, 1055, 15345, 21036, 16047, 269, 5047, 267, 519, 27469, 1185, 9738, 519, 9983, 547, 971, 513, 1804, 6708, 602, 1360, 1906, 16586, 4397, 606, 12289, 689, 11870, 22929, 267, 543, 519, 3983, 4365, 2175, 1185, 1256, 2322, 713, 2856, 856, 540, 519, 8186, 540, 1346, 267, 945, 5892, 2219, 713, 729, 2009, 269, 476, 278, 634, 4244, 1747, 267, 607, 5018, 1657, 729, 519, 2836, 9820, 267, 799, 6035, 513, 2620, 268, 1636, 267, 855, 713, 729, 8185, 13026, 676, 4436, 7980, 269, 1717, 267, 519, 20466, 17086, 1185, 4121, 689, 741, 9073, 3833, 1134, 267, 2094, 789, 1185, 1044, 17204, 693, 12603, 28500, 1079, 1296, 4505, 267, 799, 729, 513, 8185, 29846, 2823, 269, 476, 279, 2986, 1576, 267, 519, 5413, 540, 519, 11870, 22929, 12833, 5235, 267, 3079, 540, 519, 12289, 540, 2836, 9820, 568, 2322, 8521, 676, 700, 1342, 749, 19134, 267, 513, 4108, 14787, 267, 945, 2829, 602, 519, 3483, 540, 4640, 568, 968, 1729, 27298, 519, 7872, 540, 4187, 269, 634, 2832, 540, 4640, 1590, 581, 547, 3142, 827, 713, 6370, 896, 519, 1034, 25368, 6381, 269, 1656, 519, 1034, 25368, 519, 6381, 267, 519, 1447, 267, 8167, 2299, 267, 786, 581, 519, 8165, 6100, 476, 280, 11048, 267, 513, 632, 21082, 5859, 849, 24458, 602, 519, 16586, 4797, 547, 2226, 7952, 4229, 693, 2836, 9820, 269, 6271, 4244, 3769, 2826, 339, 1415, 267, 799, 729, 25323, 3533, 1317, 267, 1247, 621, 1185, 5140, 16788, 267, 621, 1131, 723, 1044, 2653, 585, 5125, 547, 13021, 519, 20466, 7952, 593, 519, 2826, 339, 1415, 25345, 269, 476, 1015, 4913, 267, 519, 11315, 2127, 540, 519, 17822, 693, 11870, 22929, 1223, 957, 607, 513, 15658, 1370, 267, 607, 1134, 267, 2094, 519, 1858, 1185, 30917, 593, 519, 8728, 540, 519, 1216, 563, 1862, 12606, 3758, 547, 1294, 1985, 3817, 5649, 2859, 454, 763, 1957, 568, 6322, 547, 5659, 519, 1114, 5784, 3823, 5208, 593, 519, 2486, 609, 2463, 547, 942, 269, 2290, 1259, 540, 8159, 3270, 540, 5208, 568, 998, 519, 1114, 3029, 540, 2923, 267, 552 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26165, 563, 1607, 700, 11057, 2777, 729, 2966, 676, 5261, 32095, 2102, 543, 3710, 538, 476, 5002, 278, 585, 7043, 18943, 29009, 626, 12448, 595, 19407, 773, 543, 1010, 7385, 267, 31130, 269, 11427, 595, 19407, 773, 729, 519, 562, 19991, 543, 7550, 8250, 540, 11184, 9400, 16959, 267, 606, 9721, 26934, 945, 729, 30992, 547, 536, 4314, 618, 585, 1272, 1739, 519, 8375, 540, 476, 9692, 279, 269, 3571, 1753, 2282, 5487, 684, 6827, 517, 729, 3957, 4432, 874, 514, 1310, 1010, 5449, 1753, 538, 8581, 563, 763, 595, 668, 9812, 9310, 538, 476, 6942, 275, 543, 538, 476, 6642, 273, 609, 4891, 267, 12349, 5899, 987, 323, 1551, 13749, 2282, 7043, 18943, 269, 13536, 6004, 595, 19407, 773, 1131, 4766, 3344, 540, 741, 1272, 972, 538, 1010, 1433, 2048, 5475, 590, 4869, 344, 1296, 610, 1234, 3712, 27928, 540, 606, 8241, 17312, 2006, 9957, 1261, 729, 15747, 538, 8108, 519, 1101, 3400, 345, 4536, 685, 5948, 538, 24368, 543, 6039, 593, 519, 589, 1090, 659, 6555, 29850, 8274, 563, 13828, 12448, 543, 1010, 7385, 5747, 538, 476, 4350, 276, 543, 616, 12617, 538, 519, 667, 2001, 2023, 543, 1677, 578, 334, 4861, 320, 30895, 269, 769, 519, 1296, 789, 5030, 693, 4432, 874, 514, 621, 729, 519, 8998, 540, 1454, 1514, 2534, 1519, 11427, 595, 19407, 773, 779, 2442, 2048, 520, 5321, 9957, 13536, 5411, 3769, 11480, 21471, 13343, 22084, 2421, 945, 1031, 519, 3573, 1394, 13452, 585, 1010, 1870, 563, 7628, 24918, 267, 7928, 1514, 2621, 941, 4371, 693, 4432, 874, 514, 5600, 585, 9683, 1977, 1425, 545, 18779, 269, 2290, 1867, 814, 519, 4583, 22256, 3794, 611, 903, 3933, 322, 4471, 742, 4758, 513, 13447, 972, 585, 519, 10136, 269, 634, 2777, 729, 2663, 10736, 883, 2185, 1166, 1846, 543, 2968, 513, 23934, 3959, 1310, 13343, 22084, 2421, 5747, 538, 476, 4198, 274, 269, 3571, 5067, 29527, 4797, 1010, 4651, 779, 1870, 799, 729, 4421, 1175, 1991, 547, 1010, 2669, 538, 476, 2735, 276, 269, 769, 476, 1960, 274, 4432, 874, 514, 729, 5697, 585, 519, 11595, 8490, 5980, 779, 11706, 563, 19613, 281, 476, 2004, 10830, 9335, 267, 1677, 578, 334, 4861, 320, 4975, 454, 2414, 578, 334, 4861, 320, 1870, 2006, 15656, 6723, 5153, 2380, 936, 513, 476, 1789, 1032, 1974, 267, 14102, 519, 1646, 540, 10651, 5627, 5810, 267, 19211, 543, 4054, 267, 5402, 5697, 689, 1082, 2694, 540, 519, 1158, 269, 1261, 1572, 519, 1858, 19846, 331, 7813, 543, 538, 476, 4350, 273, 24603, 621, 547, 519, 7027, 607, 513, 1857, 6288, 563, 10521, 5186, 21103, 1876, 985, 941, 5423, 676, 32014, 2367, 1282, 519, 4965, 543, 538, 476, 4350, 275, 519, 4639, 9335, 25798, 19235, 267, 14344, 519, 10516, 540, 6004, 5153, 2380, 267, 941, 18005, 8118, 269, 2290, 24918, 554, 583, 9112, 593, 519, 3135, 585, 1977, 1425, 545, 18779, 779, 681, 261, 305, 3788, 538, 946, 607, 513, 10689, 563, 763, 1840, 540, 513, 1085, 5034, 4677, 585, 519, 11617, 15176, 538, 476, 2735, 271, 267, 10597, 713, 6288, 607, 513, 2442, 1677, 578, 334, 4861, 320, 2961, 333, 2526, 540, 26540, 28379, 563, 19613, 281, 476, 15782, 4639, 9335, 267, 1677, 578, 334, 4861, 320, 4975, 454, 763, 5748, 6149, 540, 713, 2679, 729, 9788, 593, 476, 2918, 5988, 476, 6245, 280, 676, 5246, 29989, 7917, 14480, 928, 269, 634, 4056, 267, 5261, 32095, 2102, 267, 543, 1010, 7015, 7917, 4465, 519, 4579, 585, 14335, 519, 2679, 693, 513, 3902, 540, 11278, 13975, 271, 269, 634, 1374, 267, 4330, 607, 2048, 534, 15022, 3512, 547, 519, 6189, 540, 519, 4884, 685, 729, 547, 13918, 11623, 585, 2185, 4168, 29564, 543, 2185, 13460, 269, 898, 729, 519, 1152, 2679, 593, 519, 3135, 2394, 476, 4572, 271, 543, 2838, 18203, 1739, 3595, 3441, 547, 519, 5045, 29891, 7944, 538, 476, 4489, 280, 563, 763, 15335, 543, 13460, 941, 25552, 543, 8118, 593, 476, 272, 5239, 476, 6245, 280, 676, 5246, 29989, 14480, 928, 267, 19443, 676, 12429, 9324, 529, 18539, 1506, 269, 7981, 14884, 10443, 689, 26352, 10290, 543, 824, 18013, 585, 519, 8317, 269, 589, 1184, 542, 1519, 10453, 540, 519, 590, 3563, 540, 8585, 1097, 543, 2818, 540, 519, 670, 756, 1716, 1014, 5980, 22415, 1117, 689, 25288, 1597, 9335, 547, 519, 1153, 267, 30870, 676, 513, 1804, 15624, 563, 291, 793, 527, 2456, 1459, 3769, 5261, 8361, 717, 3336, 267, 3627, 674, 690, 691, 344, 631, 11482, 6993, 1421, 3220, 543, 11427, 589, 2940, 553, 5062, 10673, 24274, 267, 20577, 689, 824, 13102, 543, 19656, 808, 13034, 269, 15049, 2917, 267, 519, 1101, 25867, 540, 853, 6307, 779, 269, 769, 1010, 2232, 267, 519, 5246, 29989, 7074, 519, 1489, 2016, 676, 1082, 1875, 4211, 987, 21095, 1519, 1312, 519, 4056, 543, 28079, 543, 6004, 654, 11065, 13177, 945, 4421, 873, 519, 2244, 585, 3368, 922, 1871, 7132, 513, 21856, 540, 11278, 2004, 563, 763, 2679, 8593, 856, 540, 946, 1310, 519, 2063, 29564, 2451, 519, 2852, 267, 855, 3573, 22058, 725, 941, 17298, 538, 476, 1001, 271, 19620, 1082, 540, 519, 3312, 2934, 269, 4653, 621, 568, 519, 1292, 7245, 2679, 540, 853, 6307, 781, 5441, 267, 609, 519, 9030, 779, 5604, 543, 519, 3312, 32724, 1869, 1031, 676, 519, 1053, 563, 19613, 281, 476, 4343, 13177, 9335, 267, 1715, 26165, 454, 1805, 772, 3464, 3121, 779, 5441, 729, 3964, 538, 476, 4350, 272, 1210, 918, 20482, 559, 1177, 267, 519, 5449, 1753, 540, 11427, 5261, 670, 690, 14390, 267, 607, 513, 27756, 2777, 267, 5572, 543, 1153, 269, 634, 670, 690, 541, 2195, 941, 2038, 1178, 345, 4536, 593, 519, 11023, 1782, 667, 12495, 543, 5189, 4911, 639, 12418, 547, 519, 16323, 269, 1358, 849, 1185, 3573, 3180, 902, 7178, 540, 654, 15586, 543, 538, 519, 4119, 7752, 12848, 1858, 563, 19613, 281, 476, 278, 654, 597, 571, 9335, 267, 1715, 26165, 563, 1103, 476, 5002, 279, 267, 1975, 9445, 18484, 21989, 685, 5441, 8118, 693, 476, 278, 654, 597, 571, 9335, 538, 513, 2777, 2966, 585, 7917, 674, 2812, 327, 773, 676, 6276, 29485, 269, 901, 1153, 13604, 2968, 12876, 3128, 1889, 5441, 269, 769, 476, 4572, 273, 267, 519, 7013, 6712, 540, 519, 2777, 729, 6569, 547, 476, 1789, 7507, 9335, 543, 2663, 26948, 1975, 9445, 18484, 269, 634, 6967, 851, 568, 1572, 18718, 700, 17690, 563, 19613, 281, 7944, 540, 7507, 543, 1849, 1515, 23992, 6790, 1115, 267, 1715, 26165, 454, 5804, 476, 4489, 274, 713, 2146, 10689, 24428, 7027, 16422, 1499, 585, 519, 16011, 540, 1715, 26165, 799, 729, 11368, 883, 20523, 1677, 578, 334, 4861, 320, 538, 476, 4489, 278, 269, 1715, 26165, 779, 3982, 2199, 3961, 24283, 689, 922, 5449, 4884, 4567, 563, 26452, 3356, 12205, 723, 6462, 519, 12802, 267, 2359, 267, 5826, 543, 24909, 540, 519, 10689, 547, 2226, 922, 23812, 269, 898, 729, 1753, 547, 1715, 26165, 1473, 3233, 14332, 3149, 689, 476, 4350, 273, 547, 476, 1220, 279, 267, 729, 513, 4605, 16222, 543, 4718, 8136, 946, 538, 24918, 563, 1103, 519, 476, 3422, 271, 338, 267, 6083, 1846, 585, 519, 1677, 578, 334, 4861, 320, 2961, 333, 2526, 540, 26540, 941, 3710, 3330, 519, 10689, 563, 19613, 281, 476, 15704, 13177, 9335, 267, 1715, 26165, 454, 23192, 11262, 676, 6723, 774, 1941, 540, 594, 1186, 16049, 543, 1634, 607, 774, 1941, 779, 623, 5417, 1442, 267, 1715, 26165, 729, 23500, 607, 4884, 6266, 543, 6035, 585, 9042, 538, 476, 5908, 276, 269, 769, 476, 4489, 274, 267, 519, 4884, 540, 1715, 26165, 729, 3964, 543, 1715, 26165, 5244, 267, 12349, 676, 519, 1007, 7027, 267, 729, 18005, 8118, 538, 5181, 540, 602, 1032, 563, 9213, 621, 8075, 519, 3557, 14986, 12567, 543, 513, 1297, 540, 4108, 18189, 338, 1519, 606, 3662, 18189, 269, 14986, 595, 2714, 720, 568, 835, 540, 519, 554, 7491, 1031, 676, 519, 2136, 2276, 25501, 945, 3357, 1934, 585, 681, 261, 305, 1282, 24918, 269, 589, 1297, 540, 3140, 2592, 616, 10268, 693, 519, 7127, 547, 519, 6288, 689, 4591, 828, 2023, 9335, 563, 6124, 26165, 729, 31498, 600, 730, 609, 519, 1677, 578, 334, 4861, 320, 4975, 7027, 538, 476, 4489, 278, 563, 19613, 281, 476, 1428, 1715, 21466, 9335, 267, 1715, 26165, 563, 23192, 3957, 8776, 267, 519, 2777, 729, 3710, 1472, 476, 6942, 277, 676, 3627, 717, 13759, 585, 1677, 578, 334, 4861, 320, 1870, 2006, 543, 16588, 540, 519, 22694, 894, 7027, 267, 19291, 4591, 828, 2023, 267, 4171, 4558, 729, 593, 519, 5087, 29891, 7944, 540, 25288, 1597, 543, 20152, 6790, 1115, 269, 769, 476, 6245, 275, 267, 8776, 729, 11751, 676, 5261, 2142, 527, 945, 3957, 621, 1306, 20799, 5600, 910, 4440, 1317, 540, 1010, 1719, 538, 7504, 17040, 563, 32481, 476, 6245, 280, 267, 16452, 29485, 2966, 513, 1079, 3613, 648, 344, 10137, 609, 513, 1804, 3915, 328, 731, 4055, 3773, 547, 519, 3312, 772, 11057, 2777, 269, 20323, 519, 2777, 11542, 593, 476, 3953, 14143, 630, 1724, 688, 13776, 543, 2142, 527, 729, 519, 1101, 540, 20422, 5411, 547, 6133, 1055, 13980, 540, 519, 12406, 269, 769, 519, 2038, 476, 5002, 271, 338, 267, 24368, 17135, 7083, 595, 3559, 916, 5112, 6170, 4832, 7477, 725, 693, 1306, 20799, 5600, 563, 7628, 519, 5822, 2622, 2782, 267, 519, 2777, 729, 1031, 676, 519, 2475, 8136, 607, 10492, 685, 20453, 543, 606, 5106, 8998, 269, 2991, 519, 2112, 267, 621, 7283, 796, 31039, 543, 729, 14916, 642, 663, 531, 2213, 2394, 10736, 883, 8370, 1166, 1846, 269, 769, 476, 2735, 275, 267, 609, 519, 12406, 1631, 4389, 547, 1447, 982, 606, 23505, 630, 271, 269, 275, 688, 1070, 1306, 20799, 729, 12349, 676, 10753, 529, 10793, 2006, 945, 814, 5249, 1279, 543, 2182, 547, 11177, 713, 14222, 2777, 563, 19613, 281, 476, 31256, 8776, 9335, 267, 1715, 26165, 630, 5306, 476, 278, 8061, 517, 9335, 994, 1607, 2582, 3613, 648, 344, 16025, 15335, 593, 17824, 9693, 13210, 729, 3710, 538, 476, 5002, 275, 585, 11427, 20153, 807, 4591, 828, 2023, 267, 7385, 540, 19291, 269, 634, 2012, 568, 2219, 547, 2097, 689, 8776, 5600, 267, 513, 1533, 569, 1753, 2282, 19291, 779, 4332, 2897, 538, 8061, 517, 269, 898, 781, 3617, 602, 513, 8265, 540, 602, 2012, 8255, 7404, 563, 763, 2777, 729, 2966, 676, 20153, 807, 779, 683, 15343, 342, 267, 5261, 32095, 2102, 543, 3710, 676, 3627, 590, 1048, 5674, 693, 513, 1942, 540, 11278, 14625, 279, 18121, 26631, 277, 1040, 589, 2863, 543, 683, 15343, 342, 1705, 711, 2141, 3858, 593, 519, 1374, 543, 693, 835, 3942, 32095, 2102, 16761, 602, 2576, 3116, 1491, 936, 519, 15569, 269, 634, 9703, 2934, 540, 519, 1753, 1331, 20399, 4496, 2781, 559, 902, 563, 293, 1042, 15104, 4591, 828, 2023, 5747, 538, 476, 5002, 278, 543, 538, 476, 4489, 276, 20153, 807, 4421, 519, 2777, 543, 3710, 835, 538, 23720, 9335, 267, 1586, 2966, 676, 1200, 683, 15343, 342, 563, 1103, 476, 4572, 280, 267, 8776, 729, 11751, 676, 18536, 1715, 2006, 543, 1010, 7385, 6307, 267, 7800, 652, 8250, 540, 519, 744, 685, 289, 31151, 1920, 267, 5411, 540, 519, 4347, 4800, 4469, 712, 7085, 269, 634, 1715, 332, 753, 1185, 519, 22477, 23392, 543, 646, 729, 513, 6076, 322, 650, 528, 563, 1103, 2487, 2053, 621, 814, 1044, 519, 1753, 540, 1546, 2033, 543, 24796, 853, 1695, 10458, 945, 5189, 519, 890, 4754, 2872, 883, 24368, 563, 19613, 281, 476, 275, 2537, 8776, 9335, 267, 1715, 26165, 630, 14585, 1676, 540, 8776, 9335, 543, 11612, 326, 1231, 9335, 994, 5327, 11220, 676, 6276, 29485, 267, 713, 6264, 15335, 729, 3710, 585, 9400, 5576, 1961, 7615, 538, 476, 6642, 279, 269, 634, 3312, 4566, 543, 16551, 616, 4371, 538, 7027, 779, 10871, 3778, 7732, 563, 19913, 1961, 7615, 1185, 7307, 513, 1297, 540, 10473, 1354, 10024, 513, 11450, 609, 14731, 27068, 607, 6006, 543, 6728, 8069, 538, 21651, 9335, 630, 333, 792, 519, 8265, 799, 2221, 12217, 1010, 2012, 1040, 5590, 8385, 593, 476, 279, 14143, 630, 274, 3873, 13776, 1284, 564, 6229, 267, 3957, 1310, 5576, 1961, 7615, 779, 1753, 538, 4789, 267, 1942, 827, 11278, 20720, 271, 18121, 30420, 271, 264, 543, 519, 5411, 25855, 476, 2641, 2665, 540, 5386, 11647, 543, 3514, 14005, 689, 5507, 563, 16031, 5576, 1961, 7615, 4371, 513, 1297, 540, 7158, 609, 519, 1677, 578, 334, 4861, 320, 5695, 325, 11833, 543, 519, 1284, 564, 6229, 7435, 545, 777, 4371, 1169, 4728, 568, 3957, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3196, 547, 581, 22672, 19861, 1369, 519, 2575, 2872, 269, 3571, 26813, 18638, 17581, 267, 968, 305, 1712, 334, 2223, 729, 5950, 538, 476, 1001, 276, 543, 7604, 1078, 1010, 2189, 11100, 540, 15972, 20054, 267, 1313, 582, 25293, 4938, 1023, 267, 543, 11626, 2504, 269, 634, 17581, 12286, 8037, 21769, 609, 5159, 971, 607, 918, 1415, 324, 4639, 267, 634, 10432, 526, 267, 543, 3807, 514, 645, 773, 828, 267, 2417, 6173, 908, 1010, 9043, 543, 19788, 513, 9962, 5304, 563, 16729, 519, 1967, 540, 968, 305, 1712, 334, 2223, 3004, 6665, 8845, 4797, 547, 7903, 6302, 609, 1010, 8683, 558, 648, 4674, 267, 968, 289, 8674, 538, 519, 570, 1905, 7327, 21025, 9519, 1848, 1234, 548, 1078, 538, 476, 1001, 277, 267, 519, 17581, 5189, 513, 18632, 543, 811, 22161, 8826, 3280, 267, 609, 1796, 719, 13475, 899, 968, 294, 5366, 321, 7927, 892, 10023, 918, 754, 4459, 19681, 541, 543, 968, 303, 1157, 5455, 519, 25439, 892, 609, 8479, 774, 1872, 543, 2372, 822, 334, 269, 3004, 6665, 779, 2702, 547, 12840, 16900, 609, 824, 5159, 814, 9846, 4547, 4195, 5380, 547, 1010, 2575, 543, 26970, 19700, 1472, 519, 1158, 563, 9199, 6665, 8845, 779, 8177, 593, 519, 8535, 12752, 454, 9199, 6665, 8845, 779, 1764, 593, 519, 2575, 2872, 568, 26837, 4192, 269, 2060, 1010, 2189, 3280, 543, 9159, 12644, 267, 646, 814, 7307, 547, 1286, 557, 513, 2619, 585, 5128, 602, 568, 5963, 9565, 269, 8845, 779, 2702, 547, 16900, 11100, 11964, 267, 689, 12048, 31022, 547, 15972, 547, 4244, 267, 814, 14593, 519, 6302, 540, 1018, 568, 2808, 13416, 2575, 269, 3571, 3982, 2511, 543, 18515, 547, 4603, 723, 711, 1152, 12236, 1864, 2565, 1035, 8010, 855, 849, 21959, 1229, 513, 7372, 10178, 3490, 602, 21269, 2066, 1114, 5481, 543, 4529, 563, 3080, 540, 519, 1034, 1713, 7418, 3004, 6665, 8845, 814, 1500, 547, 519, 2575, 2872, 568, 1010, 2702, 547, 1711, 15138, 543, 20605, 2661, 2833, 269, 3245, 1010, 14969, 3942, 6272, 547, 1010, 17615, 12644, 267, 8845, 814, 2699, 18249, 1018, 513, 13447, 666, 581, 269, 3571, 30145, 616, 811, 982, 1175, 7574, 12644, 282, 789, 616, 2407, 1532, 31500, 4715, 8163, 602, 3560, 1010, 5304, 883, 1776, 1158, 269, 901, 5499, 1935, 814, 711, 1152, 1305, 513, 1007, 3044, 585, 2661, 2982, 855, 814, 849, 6273, 9118, 5159, 547, 1589, 3544, 519, 4216, 543, 21592, 741, 1378, 12644, 269, 3004, 6665, 8845, 779, 1764, 593, 519, 2575, 2872, 666, 581, 5433, 711, 1152, 998, 1010, 14262, 2575, 855, 849, 998, 1010, 2702, 547, 7903, 6302, 543, 1711, 13710, 2833, 585, 1010, 11655, 563, 9199, 6665, 8845, 779, 24573, 584, 658, 20764, 999, 454, 9199, 6665, 8845, 779, 29426, 26136, 723, 5129, 513, 1713, 1909, 538, 1010, 2949, 1967, 543, 21239, 269, 15332, 1010, 18517, 538, 519, 2575, 2872, 267, 646, 814, 8810, 5128, 547, 581, 513, 5260, 11803, 1870, 2006, 269, 2290, 540, 1010, 8037, 26136, 2882, 1010, 11450, 609, 715, 833, 267, 16089, 3908, 24737, 819, 14229, 5474, 602, 723, 6591, 7839, 8560, 543, 3361, 513, 535, 1066, 5414, 1851, 14229, 6033, 21650, 269, 2060, 1010, 16994, 3750, 585, 1374, 543, 1620, 540, 1699, 3466, 267, 8845, 814, 6707, 3854, 1242, 593, 519, 1630, 4040, 14229, 6033, 2344, 267, 9160, 532, 5128, 607, 513, 3196, 547, 581, 22672, 19861, 609, 538, 519, 6752, 1158, 563, 1103, 1840, 547, 1010, 5698, 609, 715, 833, 267, 3004, 6665, 8845, 814, 849, 5887, 3293, 883, 519, 20892, 2872, 269, 3571, 11450, 609, 519, 2442, 4568, 6216, 595, 716, 328, 814, 8507, 538, 519, 5137, 540, 513, 3811, 1899, 540, 989, 1511, 838, 27419, 521, 3881, 345, 619, 269, 26157, 1010, 2648, 585, 2575, 543, 20835, 267, 8845, 814, 7307, 547, 1711, 513, 20892, 6216, 602, 24889, 609, 1010, 5304, 543, 814, 3533, 6591, 513, 10121, 1739, 269, 2060, 1010, 2702, 547, 7148, 883, 1114, 6990, 543, 1711, 2472, 602, 8597, 547, 1010, 10178, 19668, 267, 621, 779, 2312, 602, 8845, 779, 29426, 26136, 616, 513, 15266, 547, 1010, 17545, 543, 1870, 1035, 18210, 563, 9199, 6665, 8845, 779, 5845, 20395, 545, 27557, 454, 9199, 6665, 8845, 814, 1044, 4922, 6444, 585, 1010, 24960, 545, 3646, 267, 607, 646, 1193, 1161, 547, 1118, 513, 2318, 1764, 593, 1585, 2950, 543, 3123, 269, 2290, 8037, 11036, 8845, 814, 1044, 3238, 538, 568, 1010, 11450, 609, 519, 1875, 17416, 3919, 267, 634, 595, 716, 639, 10793, 7690, 269, 3414, 713, 5748, 267, 646, 6663, 547, 1683, 1489, 543, 3255, 585, 1762, 1004, 538, 9207, 5703, 2950, 267, 609, 513, 1445, 593, 2069, 543, 3860, 6575, 269, 8845, 814, 1044, 8362, 3238, 538, 12180, 543, 7616, 14172, 3292, 267, 2575, 11925, 267, 543, 824, 3872, 3292, 267, 17935, 547, 7668, 519, 1985, 5108, 543, 6536, 741, 7499, 15421, 563, 1103, 1840, 547, 1010, 960, 609, 634, 595, 716, 639, 10793, 7690, 267, 8845, 814, 849, 7152, 1010, 7029, 547, 1514, 3123, 998, 1585, 26988, 23190, 269, 1261, 814, 1044, 513, 2178, 12167, 585, 1514, 5126, 543, 7292, 7862, 267, 1210, 1010, 3760, 547, 6318, 4656, 543, 1489, 3906, 8165, 585, 891, 3123, 269, 769, 3210, 547, 519, 13044, 268, 866, 6855, 267, 8845, 22283, 909, 547, 1489, 1346, 538, 991, 267, 7700, 7482, 547, 1683, 1426, 267, 2564, 7727, 267, 543, 824, 2200, 547, 4299, 2950, 269, 3414, 1010, 24960, 545, 3646, 267, 3004, 6665, 8845, 5170, 547, 1118, 513, 6209, 3017, 538, 519, 2729, 540, 2043, 543, 2950, 267, 1210, 1010, 1967, 547, 10575, 3424, 543, 8300, 1866, 563, 9199, 6665, 8845, 779, 21478, 593, 22960, 543, 7377, 9177, 454, 9199, 6665, 8845, 779, 1764, 593, 6752, 543, 1402, 2528, 3112, 581, 936, 26061, 269, 2060, 1010, 2189, 2631, 540, 2511, 543, 1166, 1515, 267, 646, 814, 1831, 513, 3020, 3466, 21392, 538, 519, 2872, 269, 3245, 1010, 11599, 8265, 18875, 5654, 547, 1285, 656, 3766, 31938, 2196, 3118, 21769, 267, 8845, 814, 24672, 24673, 519, 10600, 540, 2575, 543, 6752, 563, 3080, 540, 519, 1883, 2188, 538, 8845, 779, 3310, 593, 6752, 568, 1010, 2702, 547, 7903, 6302, 269, 1261, 568, 1634, 585, 1010, 29412, 543, 8097, 6752, 5079, 267, 1419, 4101, 6848, 8155, 543, 2757, 6752, 4441, 269, 6787, 621, 779, 4224, 532, 16136, 1242, 13544, 1115, 267, 9849, 23349, 3270, 267, 610, 9256, 6397, 4778, 543, 18282, 267, 8845, 814, 1831, 24190, 609, 8840, 519, 9044, 543, 28196, 1456, 1018, 621, 1797, 547, 581, 31042, 269, 901, 4250, 16531, 538, 1010, 6752, 18129, 814, 12236, 1864, 2463, 689, 1312, 2872, 1202, 11107, 543, 11655, 7567, 267, 4396, 4328, 1010, 2990, 607, 513, 6752, 12835, 563, 9199, 6665, 8845, 779, 9608, 5020, 543, 17716, 454, 9199, 6665, 8845, 267, 1634, 585, 1010, 28430, 1268, 320, 543, 7499, 23258, 267, 814, 7307, 547, 1832, 1010, 2123, 1272, 5266, 4357, 9624, 519, 30425, 540, 1010, 1630, 4040, 4876, 269, 1717, 267, 621, 568, 4922, 1634, 602, 519, 20279, 23899, 986, 3899, 543, 5152, 23116, 814, 1044, 6535, 656, 1227, 5532, 547, 4641, 7641, 5182, 267, 918, 2643, 773, 23514, 1676, 269, 634, 6292, 3459, 6580, 538, 476, 1001, 278, 543, 741, 2078, 3533, 2968, 513, 1888, 540, 10373, 1857, 1719, 269, 8625, 267, 789, 2671, 513, 8250, 3957, 23566, 328, 28732, 267, 4535, 538, 5988, 476, 1001, 279, 269, 2755, 519, 7008, 779, 2078, 814, 4810, 922, 4023, 2671, 540, 22705, 543, 17498, 267, 789, 723, 9846, 15091, 741, 7029, 547, 1071, 1790, 1861, 532, 741, 8250, 543, 4509, 513, 2318, 6422, 563, 1103, 1840, 547, 1010, 2078, 609, 23514, 1676, 267, 3004, 6665, 8845, 814, 1044, 1634, 547, 1832, 513, 2673, 5858, 540, 2828, 543, 3523, 2209, 538, 519, 2575, 2872, 269, 3683, 519, 1296, 267, 646, 814, 2919, 2178, 17052, 609, 8284, 5159, 971, 607, 918, 1415, 324, 4639, 543, 17718, 595, 644, 328, 267, 3056, 547, 3875, 3811, 21769, 269, 1635, 5807, 891, 4296, 267, 3004, 6665, 8845, 814, 711, 1152, 9450, 1010, 7574, 20030, 855, 849, 22541, 1010, 3310, 543, 4527, 1369, 519, 2872, 269, 6736, 519, 1419, 26093, 2470, 540, 21239, 267, 621, 4667, 602, 3004, 6665, 8845, 814, 7307, 547, 10880, 513, 10347, 3666, 1063, 1010, 2123, 3347, 543, 1010, 14762, 4876, 563, 9199, 6665, 8845, 779, 8892, 18768, 543, 7736, 324, 822, 832, 454, 9199, 6665, 8845, 568, 711, 835, 547, 1964, 593, 1010, 31444, 3149, 269, 2060, 513, 5569, 540, 3811, 3785, 896, 1010, 12966, 267, 646, 5170, 547, 7903, 519, 6302, 540, 1010, 5876, 543, 2263, 1007, 18817, 538, 1010, 2104, 18129, 269, 19612, 585, 1010, 5499, 1935, 547, 2575, 267, 621, 2501, 607, 1100, 9983, 602, 646, 814, 2907, 20726, 539, 693, 1896, 3078, 3785, 593, 519, 16880, 563, 5575, 543, 19466, 267, 11655, 666, 2503, 811, 14262, 2575, 689, 3004, 6665, 8845, 269, 19612, 585, 1010, 2189, 11100, 540, 12048, 31022, 267, 15972, 267, 543, 20369, 32676, 545, 4992, 267, 646, 814, 1831, 513, 13009, 4565, 1794, 518, 538, 519, 2872, 269, 2060, 1142, 5305, 267, 646, 9846, 12651, 519, 3046, 267, 543, 1010, 2104, 3785, 616, 2693, 547, 581, 1100, 9868, 269, 6787, 621, 779, 23712, 609, 824, 16805, 5159, 610, 19234, 609, 1114, 11964, 267, 972, 779, 1100, 8969, 602, 3004, 6665, 8845, 786, 3136, 547, 4161, 519, 4567, 28943, 543, 5838, 2575, 602, 24889, 609, 9458, 5001, 269, 3958, 267, 646, 814, 6829, 606, 1719, 538, 3695, 824, 3860, 23447, 267, 971, 607, 4670, 14708, 543, 6752, 269, 3245, 28068, 2575, 7044, 547, 23712, 609, 1164, 15134, 6752, 12478, 267, 621, 779, 2312, 602, 3004, 6665, 8845, 779, 7499, 5075, 6487, 1100, 23451, 269, 1306, 646, 21040, 1010, 27132, 267, 11655, 666, 18783, 7487, 1010, 2189, 2511, 543, 5499, 2093, 8915, 538, 891, 3078, 1007, 3785, 563, 1432, 568, 3004, 6665, 8845, 779, 2038, 1272, 543, 4282, 888, 9199, 6665, 8845, 729, 4535, 593, 4989, 476, 1789, 267, 476, 1960, 273, 267, 538, 20279, 267, 7147, 269, 3571, 1483, 2012, 568, 10496, 13196, 645, 1069, 517, 28732, 4083, 269, 1261, 8057, 909, 538, 513, 1647, 11665, 1920, 543, 2919, 513, 6612, 585, 2575, 689, 513, 1762, 2085, 563, 1692, 1705, 3004, 6665, 8845, 779, 7574, 3460, 2253, 543, 1018, 729, 1010, 14634, 4090, 888, 9199, 6665, 8845, 779, 7574, 3460, 3459, 538, 1164, 1153, 950, 646, 3323, 1818, 20054, 543, 6721, 1010, 1378, 2575, 269, 1261, 6591, 6284, 538, 519, 2872, 1310, 646, 5950, 1010, 26813, 7107, 1901, 267, 968, 302, 342, 331, 31279, 2223, 538, 476, 1001, 274, 269, 1717, 267, 1010, 14634, 4090, 3357, 609, 519, 5305, 540, 1010, 2034, 7107, 1901, 267, 968, 291, 904, 6969, 681, 1712, 334, 2223, 538, 476, 1001, 275, 563, 1692, 814, 3004, 6665, 8845, 779, 4876, 24111, 936, 519, 1296, 888, 9199, 6665, 8845, 779, 4876, 814, 2938, 513, 11931, 4473, 936, 519, 1296, 269, 3571, 26813, 18638, 17581, 267, 968, 305, 1712, 334, 2223, 5950, 538, 476, 1001, 276, 267, 4607, 2565, 1035, 8010, 543, 5010, 1967, 269, 1261, 4797, 547, 2744, 8560, 609, 7766, 11549, 4548, 899, 968, 289, 8674, 538, 519, 570, 1905, 7327, 21025, 9519, 892, 630, 1001, 277, 264, 543, 968, 22349, 992, 5454, 892, 630, 1001, 279, 1070, 799, 4396, 1881, 1010, 4567, 607, 835, 540, 519, 7887, 4408, 538, 12048, 31022, 563, 4692, 596, 1592, 930, 540, 3004, 6665, 8845, 779, 8037, 21769, 543, 1167, 2762, 888, 9199, 6665, 8845, 814, 32524, 609, 1896, 12021, 5159, 267, 1519, 19537, 651, 267, 918, 1415, 324, 4639, 267, 634, 10432, 526, 267, 543, 918, 754, 4459, 19681, 541, 269, 2368, 540, 1010, 8037, 8964, 1331, 968, 306, 27912, 302, 26827, 292, 2223, 968, 294, 5366, 321, 7927, 2223, 543, 968, 295, 26996, 12239, 5442, 5990, 21614, 6865, 1848, 3571, 1167, 2762, 2882, 1614, 18638, 11549, 4548, 543, 1896, 7107, 16747, 543, 661, 11679, 563, 1692, 814, 3004, 6665, 8845, 12936, 519, 2575, 2872, 888, 9199, 6665, 8845, 814, 1185, 513, 1713, 1764, 593, 519, 2575, 2872, 269, 3571, 2189, 11100, 540, 22850, 267, 15972, 267, 543, 4244, 4992, 814, 14593, 6302, 543, 6766, 513, 1007, 5108, 540, 5159, 269, 1261, 568, 1634, 585, 1010, 17615, 12644, 543, 5499, 2504, 2511, 267, 799, 723, 5280, 3337, 519, 1699, 5251, 540, 12048, 31022, 563, 1432, 29426, 26136, 814, 3004, 6665, 8845, 22002, 888, 9199, 6665, 8845, 814, 5887, 3293, 883, 1585, 29426, 18129, 269, 1261, 814, 32524, 609, 12478, 899, 715, 833, 543, 31780, 779, 547, 5305, 3908 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26553, 1968, 6981, 563, 9172, 26833, 593, 7325, 476, 1015, 267, 476, 1001, 273, 454, 3445, 267, 1822, 772, 2529, 269, 7189, 538, 476, 15704, 32258, 616, 1934, 547, 2626, 707, 2055, 610, 2709, 596, 5796, 267, 1095, 18587, 267, 543, 811, 269, 5192, 948, 1631, 912, 10144, 849, 22646, 585, 912, 21010, 676, 1257, 610, 3381, 609, 513, 772, 2529, 269, 4604, 2275, 1068, 1881, 4387, 1631, 2443, 7227, 942, 568, 1447, 982, 476, 272, 8792, 256, 0, 763, 946, 540, 4244, 1648, 568, 2810, 609, 519, 4145, 827, 2518, 8337, 543, 519, 546, 13388, 1782, 14425, 540, 8093, 10173, 269, 21954, 19342, 543, 7250, 616, 9621, 4244, 10173, 267, 543, 2599, 1382, 814, 11567, 519, 946, 540, 7686, 19342, 270, 5139, 4088, 23399, 269, 1717, 267, 1100, 1353, 814, 8947, 519, 3114, 737, 27282, 540, 7686, 19342, 543, 7250, 23399, 269, 901, 1353, 11567, 519, 2360, 540, 7250, 593, 519, 27307, 8488, 540, 513, 18861, 855, 8457, 622, 14672, 13463, 696, 2033, 7848, 269, 1323, 4603, 729, 5342, 1210, 513, 4028, 13496, 3684, 630, 13612, 300, 264, 693, 476, 1428, 3046, 1247, 8795, 519, 2837, 630, 278, 1626, 1700, 5952, 279, 918, 264, 543, 7250, 6824, 538, 519, 4492, 7848, 630, 271, 267, 476, 1839, 267, 476, 2004, 267, 543, 476, 4037, 15992, 543, 513, 10230, 2079, 729, 5340, 1210, 595, 4047, 300, 298, 2562, 6261, 4629, 3301, 547, 1174, 875, 519, 13674, 1184, 2242, 269, 634, 8097, 543, 10230, 9382, 4951, 602, 267, 609, 7250, 1840, 267, 519, 27307, 8488, 2799, 563, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 24997, 6052, 267, 20885, 543, 519, 5113, 454, 268, 23556, 5303, 454, 268, 9473, 10234, 17460, 8212, 454, 268, 6052, 7177, 543, 5295, 5303, 0, 2690, 519, 2250, 1906, 5756, 267, 519, 1158, 814, 27636, 6385, 267, 538, 1880, 267, 538, 1072, 10618, 269, 5047, 267, 621, 2919, 689, 1373, 513, 835, 8820, 2460, 540, 1857, 3028, 24969, 906, 547, 606, 3606, 1950, 3818, 8820, 1935, 269, 25613, 16040, 267, 898, 6212, 593, 2442, 2994, 799, 616, 8246, 676, 5010, 1242, 2344, 619, 2442, 569, 1634, 607, 968, 12892, 16373, 1848, 898, 568, 513, 1826, 540, 6725, 2966, 711, 547, 4481, 948, 513, 6216, 855, 547, 5352, 1514, 610, 24040, 1689, 269, 1924, 267, 621, 12651, 519, 4656, 540, 513, 1966, 1210, 2757, 6725, 2553, 563, 12234, 267, 713, 7082, 1445, 3322, 519, 1353, 543, 3586, 15260, 20156, 540, 1142, 543, 1169, 2460, 540, 519, 1514, 6725, 10872, 269, 1924, 267, 4324, 1154, 519, 1857, 568, 2141, 519, 8998, 540, 3007, 269, 27009, 267, 1514, 13033, 5867, 971, 607, 17749, 267, 9365, 267, 12108, 543, 29243, 7343, 267, 723, 1831, 519, 1292, 2707, 540, 1344, 269, 1677, 9959, 267, 1514, 13033, 814, 1044, 606, 1271, 851, 540, 519, 6725, 543, 2792, 2994, 540, 1082, 1072, 13282, 3906, 269, 898, 568, 513, 3501, 1611, 547, 1832, 2043, 267, 2950, 543, 3782, 14540, 5532, 1256, 1498, 9308, 9674, 563, 1103, 2110, 267, 4317, 6725, 568, 519, 1655, 1259, 547, 3262, 1344, 269, 17957, 267, 952, 621, 779, 5046, 268, 866, 3377, 689, 1808, 2829, 610, 3084, 3377, 610, 1344, 593, 5061, 922, 2126, 3092, 1421, 1514, 5121, 1491, 519, 5048, 1141, 621, 779, 2469, 547, 991, 547, 269, 3502, 1152, 616, 649, 1565, 519, 5767, 3377, 25887, 609, 519, 5748, 540, 1514, 13033, 4609, 538, 519, 476, 2641, 560, 2540, 267, 538, 1840, 267, 855, 649, 616, 849, 1210, 4609, 971, 607, 9365, 543, 12108, 547, 1683, 2123, 543, 1870, 10311, 269, 4317, 2923, 849, 1534, 919, 721, 827, 519, 4791, 19183, 540, 1082, 3676, 267, 538, 2490, 267, 9494, 1082, 2729, 563, 12892, 6725, 6411, 607, 513, 2707, 540, 1344, 538, 519, 3782, 2872, 269, 5047, 267, 621, 2488, 1344, 547, 519, 2550, 543, 741, 13222, 3823, 519, 4093, 540, 2068, 269, 3509, 3782, 3906, 7048, 2390, 1514, 2923, 607, 513, 851, 540, 6725, 741, 2533, 269, 1703, 616, 1082, 5383, 538, 519, 3782, 5823, 1813, 547, 1514, 6725, 799, 616, 607, 5205, 912, 268, 3447, 622, 519, 2550, 1732, 607, 789, 616, 1072, 1416, 6800, 454, 268, 13722, 532, 7496, 547, 1569, 2228, 1072, 2533, 543, 1344, 454, 268, 14904, 1491, 513, 811, 3238, 851, 538, 741, 1378, 1072, 3664, 454, 268, 20661, 1131, 7654, 2671, 741, 1072, 1344, 543, 2833, 998, 519, 946, 540, 1514, 5121, 454, 268, 20226, 3494, 621, 4679, 519, 3461, 779, 2298, 540, 1416, 454, 268, 634, 1072, 13282, 1062, 568, 811, 1930, 538, 2474, 540, 4093, 267, 3790, 543, 4324, 454, 268, 20523, 3972, 2164, 689, 3811, 3461, 4491, 3187, 3347, 454, 268, 4317, 6725, 8992, 1665, 7071, 543, 31449, 585, 3919, 543, 22464, 454, 268, 634, 942, 543, 7934, 1063, 7189, 543, 2550, 896, 10072, 568, 16756, 532, 454, 20062, 2969, 4959, 14298, 18426, 27107, 17395, 16249, 888, 297, 612, 3821, 21373, 3989, 1514, 6725, 607, 513, 1505, 540, 6725, 799, 568, 2966, 547, 1711, 513, 1514, 1689, 855, 711, 547, 2047, 4324, 513, 6216, 269, 4635, 519, 2553, 540, 2757, 6725, 267, 621, 12651, 519, 4656, 540, 513, 2016, 1966, 610, 513, 2014, 267, 543, 621, 6663, 547, 18609, 519, 5561, 547, 1689, 741, 19326, 269, 13298, 982, 9513, 513, 1587, 267, 1514, 6725, 23619, 513, 7180, 799, 2640, 519, 2486, 547, 1711, 519, 5551, 1689, 269, 4438, 519, 476, 3192, 271, 338, 267, 17722, 918, 582, 2401, 543, 717, 14283, 2098, 5306, 2006, 7691, 602, 519, 6725, 3741, 1031, 547, 6133, 2472, 1223, 581, 1031, 547, 968, 8688, 892, 2093, 267, 543, 19326, 269, 4317, 6725, 568, 3989, 676, 918, 582, 2401, 543, 27055, 553, 523, 607, 513, 1114, 1106, 540, 6725, 689, 824, 6725, 2127, 1152, 538, 2474, 540, 519, 2344, 518, 779, 543, 1010, 610, 1200, 3919, 779, 6859, 563, 25321, 4753, 303, 4811, 5442, 14298, 18426, 27107, 17395, 16249, 5990, 12088, 454, 763, 1523, 540, 1514, 6725, 568, 513, 2527, 3069, 540, 2792, 5009, 3407, 1344, 543, 7608, 19326, 269, 1280, 5009, 2792, 543, 585, 519, 4324, 540, 519, 2486, 267, 621, 26779, 6725, 3741, 267, 2645, 1299, 2553, 269, 20553, 519, 1739, 2010, 267, 649, 19665, 1514, 6725, 912, 268, 7358, 1049, 4317, 16373, 454, 268, 21864, 4317, 16373, 454, 23330, 1049, 4317, 16373, 454, 2414, 5352, 519, 24040, 1689, 649, 1374, 7358, 1049, 1514, 6725, 269, 898, 12651, 4656, 585, 513, 1966, 1210, 2757, 6725, 2553, 543, 6212, 547, 22321, 606, 5304, 547, 1689, 741, 7180, 563, 25618, 545, 4317, 16373, 454, 2414, 6427, 1007, 2994, 585, 1646, 649, 1374, 21864, 1514, 6725, 269, 898, 4679, 519, 4656, 540, 513, 1966, 1210, 2757, 6725, 2553, 543, 6212, 547, 22321, 519, 5304, 547, 1689, 741, 7180, 563, 23490, 2177, 19006, 5508, 14298, 18426, 27107, 17395, 16249, 454, 12892, 6725, 3322, 1382, 543, 15260, 20156, 540, 1169, 3693, 540, 519, 10872, 269, 5484, 1030, 9231, 519, 1857, 568, 2141, 519, 8998, 540, 3007, 269, 4706, 3069, 568, 513, 5943, 602, 2337, 547, 1544, 267, 1374, 543, 6218, 11044, 676, 4687, 1344, 607, 547, 922, 1292, 6662, 269, 5502, 540, 3972, 532, 1857, 3028, 24969, 906, 267, 607, 538, 519, 2250, 267, 621, 3096, 5876, 547, 2285, 856, 1344, 269, 1284, 5965, 6176, 543, 15814, 621, 607, 829, 513, 1544, 547, 1450, 4687, 543, 6364, 269, 1703, 616, 2185, 2101, 3334, 540, 1514, 6725, 269, 1284, 946, 621, 607, 1514, 6725, 2553, 799, 616, 912, 763, 8605, 538, 1514, 6725, 3884, 1406, 513, 2168, 2709, 269, 1703, 568, 513, 27795, 540, 2472, 267, 8151, 689, 15889, 267, 2168, 2472, 899, 7873, 1682, 267, 547, 2533, 899, 2564, 18362, 267, 2853, 971, 607, 20418, 267, 10758, 307, 610, 513, 2295, 268, 11794, 2732, 543, 6368, 811, 30608, 2093, 971, 607, 2825, 4027, 269, 634, 3804, 6913, 676, 1514, 6725, 568, 519, 1646, 540, 4264, 2472, 799, 2640, 2486, 269, 1677, 723, 513, 9758, 1587, 267, 519, 7606, 1590, 2491, 602, 789, 2731, 616, 538, 1966, 543, 5356, 519, 1587, 547, 873, 568, 513, 1434, 3070, 269, 634, 1909, 540, 519, 1353, 1934, 568, 547, 3605, 519, 11994, 540, 1004, 827, 519, 1966, 543, 922, 1587, 543, 547, 1174, 922, 2956, 563, 1103, 1514, 6725, 267, 12313, 568, 1018, 519, 6075, 786, 2628, 585, 8391, 519, 5356, 269, 31245, 1223, 581, 13075, 610, 1875, 15065, 8767, 269, 634, 3933, 8767, 3902, 568, 519, 9513, 2179, 540, 519, 20161, 602, 2640, 519, 2146, 269, 634, 6348, 15065, 8767, 5777, 616, 519, 1514, 3790, 543, 5626, 3790, 971, 607, 4657, 4356, 269, 1403, 519, 3902, 568, 1970, 267, 1287, 519, 1198, 786, 581, 4514, 563, 1607, 11225, 6073, 3842, 799, 519, 1587, 568, 3177, 547, 519, 6075, 543, 568, 849, 1141, 835, 666, 1265, 519, 2551, 269, 898, 568, 519, 3148, 1141, 1514, 6725, 786, 581, 1034, 11327, 269, 898, 568, 519, 3135, 540, 3892, 540, 1587, 267, 1141, 519, 2242, 616, 7608, 269, 1403, 519, 1747, 568, 3362, 2139, 267, 519, 5859, 568, 3811, 269, 1280, 513, 15889, 1587, 267, 713, 4016, 547, 519, 6765, 1505, 267, 1519, 519, 23999, 267, 642, 753, 267, 5234, 267, 8637, 1141, 621, 779, 4421, 610, 6753, 1141, 621, 779, 9447, 1863, 540, 5279, 269, 1280, 606, 30608, 1587, 267, 519, 1747, 568, 711, 1134, 4330, 855, 4016, 547, 3664, 827, 519, 5121, 1141, 5561, 616, 6603, 676, 1344, 6765, 563, 1103, 1514, 6725, 267, 8871, 10056, 568, 513, 1259, 1344, 568, 1500, 2139, 269, 3509, 540, 519, 2553, 616, 1031, 269, 31055, 267, 519, 946, 540, 12125, 543, 32026, 2059, 609, 1857, 1894, 267, 9913, 543, 2923, 14223, 616, 1031, 607, 513, 1797, 540, 519, 13319, 540, 519, 2533, 3177, 676, 4317, 16373, 269, 1280, 5009, 621, 538, 513, 1732, 1611, 3340, 5876, 269, 9603, 547, 922, 23146, 267, 8871, 10056, 568, 3006, 4636, 569, 10924, 547, 13822, 1514, 6725, 563, 2005, 2882, 513, 9836, 6165, 540, 22099, 267, 2923, 25211, 532, 267, 6455, 267, 543, 1797, 540, 3560, 585, 9913, 269, 634, 3007, 568, 593, 10451, 543, 5885, 1587, 3747, 269, 5398, 3028, 24969, 906, 610, 22099, 616, 2476, 855, 824, 2409, 616, 2139, 971, 607, 513, 19420, 517, 267, 2923, 2680, 543, 9375, 10118, 616, 1031, 799, 2337, 538, 519, 4656, 540, 519, 5304, 585, 519, 13539, 779, 1514, 6725, 5859, 563, 24719, 32212, 8656, 281, 589, 27107, 17395, 16249, 12813, 2969, 19489, 300, 454, 12892, 13033, 568, 2966, 547, 1450, 1004, 519, 4316, 547, 3362, 2744, 1344, 543, 5968, 269, 6270, 2200, 616, 1031, 676, 3782, 7426, 547, 5385, 1344, 609, 5561, 538, 1896, 2081, 267, 971, 607, 4687, 1344, 593, 10074, 543, 5796, 585, 4411, 6604, 269, 19457, 5359, 827, 3676, 568, 606, 1271, 1259, 585, 2550, 547, 1205, 6325, 1344, 689, 3782, 6703, 269, 16195, 16984, 946, 1514, 2923, 547, 2744, 5813, 883, 519, 3292, 789, 5838, 543, 2949, 6075, 9547, 676, 7836, 942, 12570, 741, 30347, 269, 1677, 2445, 3403, 543, 3986, 4398, 267, 1514, 2923, 786, 1683, 7189, 609, 1367, 6114, 547, 948, 873, 1174, 6547, 547, 5061, 543, 2949, 3461, 1239, 269, 1635, 713, 267, 11884, 2139, 1344, 593, 1514, 13033, 4609, 2337, 3782, 7426, 547, 1451, 689, 519, 3461, 779, 6114, 543, 547, 3082, 9935, 269, 16195, 9439, 798, 723, 519, 2702, 547, 2708, 519, 10171, 540, 1007, 3292, 538, 519, 5823, 676, 1739, 8039, 593, 1346, 3817, 563, 3383, 267, 538, 2053, 540, 6433, 267, 1514, 13033, 4609, 6165, 1185, 2799, 585, 3246, 6800, 609, 3877, 269, 9869, 8558, 949, 1683, 1483, 6066, 1344, 827, 8244, 267, 4791, 4567, 543, 6595, 4055, 1569, 676, 621, 269, 11109, 513, 1514, 2923, 4527, 2337, 3782, 4600, 2170, 609, 519, 1344, 3177, 676, 14540, 899, 519, 4414, 9061, 543, 519, 2578, 637, 585, 8376, 6513, 269, 4317, 9012, 6411, 607, 513, 6725, 3760, 538, 519, 1739, 2081, 912, 268, 6176, 593, 15302, 267, 922, 4791, 19183, 267, 2359, 543, 2126, 1223, 581, 3177, 593, 7270, 454, 268, 1452, 7270, 1223, 581, 15469, 676, 4317, 32730, 4609, 971, 607, 9365, 267, 17749, 1299, 12108, 454, 268, 6271, 1505, 568, 676, 2870, 606, 4656, 3381, 543, 14202, 532, 593, 13334, 799, 666, 581, 9763, 676, 1082, 1004, 454, 268, 26121, 2228, 589, 1091, 267, 20497, 338, 267, 24762, 267, 12267, 267, 27678, 3092, 269, 666, 581, 2944, 585, 519, 6725, 540, 3782, 4441, 676, 4317, 9012, 454, 300, 2752, 17395, 16249, 631, 21197, 31031, 2969, 9680, 312, 454, 2171, 1020, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3528, 7137, 2151, 670, 3326, 6118, 267, 31408, 808, 269, 595, 826, 11663, 267, 19468, 29029, 700, 1276, 514, 267, 25288, 631, 269, 8865, 344, 267, 27692, 631, 269, 15917, 2131, 267, 3627, 589, 269, 25020, 267, 12253, 29485, 267, 23011, 4303, 267, 8349, 661, 269, 26864, 800, 267, 23819, 523, 670, 990, 572, 17839, 454, 1607, 1062, 5640, 1616, 282, 519, 17122, 1448, 19174, 6999, 256, 3794, 523, 1723, 324, 10789, 476, 272, 568, 513, 1883, 3498, 538, 938, 19794, 13988, 1164, 25217, 12980, 5311, 3710, 547, 5351, 782, 5640, 538, 1140, 8724, 513, 3152, 16734, 540, 12980, 543, 3986, 741, 12980, 31213, 593, 2221, 779, 1164, 3613, 1389, 11400, 563, 5649, 6732, 610, 8281, 10789, 476, 272, 267, 9906, 9990, 7300, 454, 16032, 7223, 1299, 29890, 2835, 454, 1607, 4528, 10063, 806, 519, 476, 273, 323, 22621, 8228, 540, 519, 476, 274, 6113, 8390, 540, 519, 1631, 21305, 4967, 676, 1797, 540, 7905, 5395, 516, 267, 17890, 7318, 607, 835, 540, 1082, 3339, 2606, 5931, 593, 8378, 7223, 269, 28582, 2590, 585, 3140, 2250, 18765, 547, 25816, 321, 13403, 781, 834, 8333, 32477, 10789, 257, 630, 12626, 8390, 22219, 13305, 518, 25419, 476, 2735, 279, 1070, 519, 8313, 1445, 4513, 693, 519, 3875, 6482, 6436, 543, 5376, 916, 593, 15273, 527, 2364, 885, 540, 28963, 609, 519, 14295, 534, 7232, 559, 28086, 1187, 2758, 8776, 1317, 519, 9030, 2219, 563, 3725, 268, 21551, 13408, 1804, 26941, 540, 519, 12308, 593, 13113, 6887, 543, 8895, 12251, 2219, 269, 1715, 7965, 3063, 782, 998, 563, 26397, 3842, 31473, 267, 23778, 454, 268, 12833, 926, 656, 4427, 4944, 2167, 540, 4223, 4631, 609, 10241, 630, 12218, 923, 538, 11930, 9119, 994, 268, 25043, 540, 21602, 543, 23580, 7869, 630, 31580, 267, 20603, 267, 543, 10241, 994, 268, 1323, 22362, 540, 519, 8895, 12251, 7869, 540, 23108, 1492, 526, 773, 1188, 630, 300, 655, 7546, 338, 540, 519, 1977, 19556, 5980, 994, 268, 681, 902, 540, 2372, 582, 1801, 281, 1323, 4985, 547, 10613, 540, 23580, 7869, 630, 294, 745, 526, 548, 327, 1066, 3541, 3862, 4593, 1156, 654, 1170, 839, 577, 2378, 1084, 994, 15761, 571, 2200, 585, 10789, 476, 272, 267, 9906, 9990, 454, 9515, 3217, 513, 7552, 543, 11479, 606, 3328, 540, 544, 5195, 1142, 1554, 585, 1079, 4374, 269, 3503, 606, 4082, 602, 4564, 519, 13304, 720, 593, 590, 926, 779, 5212, 10309, 1310, 1200, 7552, 269, 630, 8893, 476, 272, 268, 272, 264, 3503, 513, 11913, 4082, 585, 1142, 15821, 4082, 269, 630, 8893, 476, 272, 268, 272, 264, 562, 476, 7918, 269, 476, 276, 1341, 9041, 476, 4649, 269, 7117, 476, 273, 910, 476, 1321, 476, 273, 1535, 274, 476, 6321, 269, 9041, 476, 280, 11553, 16730, 12702, 3041, 25492, 27699, 21135, 4855, 519, 1871, 540, 1142, 4082, 269, 630, 335, 1137, 476, 7597, 277, 1700, 7597, 278, 267, 476, 10384, 1700, 3583, 272, 264, 476, 6872, 269, 476, 271, 4037, 476, 6812, 269, 476, 277, 1321, 476, 6795, 269, 476, 28883, 264, 476, 272, 476, 272, 476, 2568, 269, 476, 275, 318, 910, 476, 272, 318, 476, 279, 476, 273, 476, 274, 476, 276, 476, 8618, 269, 9041, 1341, 476, 273, 318, 476, 1691, 3848, 476, 272, 634, 5678, 543, 13088, 540, 10789, 476, 276, 476, 278, 476, 273, 476, 7830, 269, 476, 279, 21680, 9041, 476, 280, 476, 272, 268, 274, 7046, 29941, 6301, 14313, 3040, 16534, 1930, 4845, 4834, 563, 7617, 6292, 540, 2418, 585, 1535, 543, 586, 1223, 21280, 2946, 946, 547, 16355, 557, 24981, 779, 3069, 286, 476, 1839, 667, 1535, 815, 476, 277, 267, 586, 815, 476, 274, 3367, 519, 4530, 30014, 634, 2243, 568, 6998, 585, 513, 1293, 699, 343, 2217, 269, 4855, 519, 2418, 540, 1535, 543, 586, 602, 1118, 519, 3948, 7301, 269, 16534, 519, 4530, 30014, 29799, 1535, 543, 586, 538, 519, 3830, 1535, 21680, 586, 815, 476, 272, 609, 519, 2016, 2418, 269, 476, 1839, 476, 272, 476, 272, 284, 272, 27077, 498, 634, 8367, 568, 3020, 267, 543, 1312, 2418, 616, 2898, 2338, 269, 634, 3948, 568, 3020, 269, 476, 277, 476, 272, 476, 273, 19749, 510, 272, 6744, 532, 11778, 4595, 3903, 595, 568, 519, 2953, 2626, 267, 596, 666, 2638, 707, 2164, 676, 4152, 519, 824, 2418, 563, 275, 910, 476, 274, 332, 264, 279, 476, 2767, 269, 910, 274, 263, 273, 343, 910, 476, 277, 264, 22217, 1518, 1142, 4082, 269, 1403, 711, 2009, 267, 2328, 16866, 269, 476, 2764, 269, 476, 273, 343, 1341, 476, 280, 343, 476, 3066, 269, 476, 275, 321, 910, 476, 272, 1341, 476, 276, 321, 476, 1789, 269, 476, 276, 333, 476, 273, 910, 476, 278, 333, 476, 4029, 269, 476, 274, 320, 476, 273, 1341, 513, 1341, 476, 1691, 320, 476, 273, 476, 3953, 269, 476, 1321, 263, 275, 1341, 476, 274, 322, 264, 476, 3451, 269, 630, 274, 343, 910, 476, 276, 264, 1428, 589, 2793, 14877, 30438, 570, 5723, 299, 2464, 1280, 20113, 476, 4097, 543, 476, 3374, 267, 946, 519, 3349, 602, 2982, 519, 10865, 1942, 540, 513, 2754, 1072, 1544, 269, 12232, 15928, 12697, 1107, 13600, 569, 932, 1173, 525, 15147, 720, 6481, 15482, 17496, 31287, 1269, 4281, 1269, 736, 1269, 1321, 7731, 630, 611, 6463, 5279, 264, 1269, 2004, 1269, 1428, 1269, 278, 476, 4097, 269, 3503, 543, 6218, 606, 4082, 547, 5173, 519, 2698, 1942, 540, 2564, 267, 5959, 267, 543, 5075, 6142, 585, 606, 9441, 585, 476, 277, 3275, 269, 0, 1607, 1576, 786, 1445, 593, 2500, 2994, 585, 4543, 1053, 4487, 519, 1898, 2035, 543, 2409, 540, 6673, 10803, 269, 1284, 786, 4983, 2200, 585, 4928, 6044, 267, 4879, 267, 2029, 267, 3785, 267, 543, 6673, 981, 7041, 269, 769, 1840, 267, 649, 786, 1865, 2152, 1644, 547, 4058, 543, 28720, 519, 1576, 267, 971, 607, 2875, 5542, 267, 533, 5217, 267, 543, 519, 6673, 10748, 527, 563, 9743, 1192, 528, 281, 6754, 3733, 619, 454, 2750, 8533, 2500, 14292, 2994, 585, 3450, 6673, 10803, 563, 28308, 523, 741, 1620, 540, 8579, 2035, 543, 2409, 538, 1239, 2079, 267, 1353, 1374, 267, 5506, 267, 543, 8579, 23221, 563, 25219, 559, 1125, 2029, 547, 3895, 8579, 3206, 269, 3763, 9744, 609, 1210, 24275, 26732, 543, 2780, 3301, 547, 5659, 1239, 543, 547, 1685, 13502, 563, 18439, 513, 3099, 540, 2081, 547, 2708, 2875, 1565, 563, 268, 13823, 2388, 267, 8080, 267, 17644, 585, 519, 10432, 267, 12875, 632, 8631, 454, 268, 11137, 540, 6673, 10803, 281, 606, 6679, 2534, 454, 268, 6673, 10748, 527, 454, 268, 6341, 7204, 543, 15331, 566, 454, 268, 10289, 4578, 281, 7421, 835, 28547, 610, 11050, 4756, 454, 268, 6168, 519, 6673, 11929, 454, 268, 10289, 4578, 281, 7421, 3347, 1063, 1079, 28547, 610, 11050, 4632, 454, 268, 6092, 4058, 543, 6388, 454, 268, 17438, 543, 4351, 4632, 454, 268, 6341, 7204, 14778, 454, 268, 30151, 11996, 454, 268, 4635, 2029, 3927, 281, 26732, 267, 813, 7410, 267, 543, 3301, 454, 268, 19043, 4255, 543, 3375, 6194, 454, 268, 24951, 1079, 2516, 610, 5095, 454, 268, 6673, 981, 7041, 454, 268, 5606, 2397, 827, 3347, 1063, 1079, 28547, 610, 1079, 11050, 4632, 454, 268, 15932, 986, 742, 548, 267, 20241, 267, 543, 24214, 6202, 454, 1607, 1576, 568, 6098, 693, 3610, 1007, 547, 6673, 10803, 563, 27645, 5461, 538, 513, 811, 4359, 1576, 2676, 28781, 1934, 610, 20801, 1524, 563, 1607, 1576, 786, 15052, 1620, 540, 6673, 10803, 538, 513, 10319, 1604, 269, 8262, 2093, 1331, 3695, 543, 3308, 1944, 835, 543, 1079, 4756, 1239, 267, 10386, 543, 17634, 267, 5506, 267, 4351, 4632, 267, 10386, 14778, 267, 543, 8579, 23221, 3842, 6015, 11996, 543, 4644, 4255, 269, 29896, 568, 1031, 2429, 547, 2333, 1620, 269, 1284, 786, 2263, 543, 4497, 519, 1543, 998, 2238, 602, 666, 581, 8045, 5612, 538, 519, 4928, 269, 4804, 568, 6462, 609, 606, 4367, 547, 24275, 26732, 269, 6196, 6673, 981, 2055, 786, 581, 10002, 17977, 609, 513, 1445, 593, 519, 6299, 7879, 1031, 547, 3446, 519, 2055, 269, 19893, 616, 9244, 9415, 547, 3142, 513, 24275, 9498, 563, 9743, 1192, 528, 281, 19279, 12070, 1723, 343, 454, 268, 1401, 2821, 5171, 547, 4143, 2200, 543, 14292, 2994, 602, 666, 3986, 519, 2298, 540, 741, 6673, 10803, 1576, 563, 268, 2920, 1947, 1331, 5171, 538, 2238, 602, 1020, 4514, 1620, 540, 8579, 2035, 563, 268, 3447, 622, 5171, 827, 519, 3898, 267, 1543, 267, 19875, 267, 543, 21249, 540, 519, 6673, 10803, 11929, 563, 268, 2637, 4733, 513, 1732, 1620, 540, 10386, 14778, 543, 23221, 563, 268, 10049, 630, 17806, 9248, 267, 10495, 8249, 994, 268, 18185, 1299, 8950, 11242, 454, 268, 700, 4875, 1299, 10965, 2931, 454, 268, 18044, 20000, 454, 268, 12085, 547, 20780, 912, 268, 4937, 6092, 6176, 543, 8249, 454, 268, 5149, 476, 272, 281, 10289, 4578, 454, 268, 5149, 476, 273, 281, 21290, 20518, 1903, 540, 4578, 454, 268, 5149, 476, 274, 281, 2677, 21564, 17716, 454, 268, 5149, 476, 275, 281, 27588, 5525, 543, 31401, 454, 268, 5149, 476, 276, 281, 17438, 454, 268, 5149, 476, 277, 281, 15932, 25159, 454, 268, 5149, 476, 278, 281, 6341, 7204, 20518, 1903, 454, 268, 5149, 476, 279, 281, 2290, 12726, 30151, 3955, 10094, 454, 268, 5149, 476, 280, 281, 2290, 12726, 19043, 18873, 454, 268, 5149, 476, 1015, 281, 5565, 12726, 5606, 2397, 454, 268, 5149, 476, 1556, 281, 15616, 30026, 18873, 454, 268, 5149, 476, 1321, 281, 2859, 6168, 22953, 454, 268, 5999, 270, 13480, 5384, 0, 763, 6239, 11106, 10837, 814, 12665, 945, 5659, 519, 12451, 540, 5022, 540, 519, 9904, 538, 606, 3801, 547, 21264, 18448, 539, 6835, 602, 616, 2366, 607, 524, 760, 22363, 1257, 269, 769, 9208, 2296, 1257, 267, 519, 4484, 678, 568, 1031, 693, 513, 2557, 540, 476, 277, 18336, 320, 269, 4855, 519, 1611, 543, 3044, 11539, 585, 519, 1297, 540, 2053, 519, 4484, 678, 786, 581, 1336, 593, 513, 6093, 2985, 540, 476, 18605, 271, 3197, 563, 321, 269, 769, 606, 18448, 539, 524, 760, 22363, 5048, 2366, 547, 9459, 267, 513, 2985, 540, 476, 18605, 271, 3197, 568, 1336, 547, 723, 519, 4484, 678, 9648, 476, 9965, 2053, 269, 1772, 713, 29099, 1970, 610, 1164, 286, 0, 19445, 543, 1514, 2923, 2069, 568, 513, 968, 5158, 5578, 892, 602, 568, 16122, 547, 4383, 607, 513, 1480, 1373, 538, 519, 1158, 676, 9591, 513, 1305, 540, 3059, 2418, 602, 5447, 609, 1483, 1158, 2418, 267, 1932, 1906, 7855, 267, 3237, 267, 543, 1256, 4966, 666, 1174, 519, 1950, 10316, 540, 1344, 547, 6330, 543, 1287, 13599, 585, 835, 2241, 2601, 281, 789, 14201, 1406, 4535, 538, 519, 1482, 5108, 267, 789, 1810, 1406, 723, 519, 1995, 609, 2029, 267, 6862, 666, 789, 4628, 1174, 519, 11707, 540, 621, 267, 610, 789, 1810, 1406, 899, 621, 693, 782, 267, 543, 723, 1100, 942, 585, 621, 269, 634, 1966, 568, 267, 9039, 540, 721, 666, 6488, 547, 4734, 621, 693, 602, 267, 519, 30367, 616, 865, 1164, 269, 5753, 1413, 909, 547, 721, 585, 1344, 267, 5583, 267, 1256, 950, 789, 27642, 711, 547, 269, 1656, 538, 519, 1858, 540, 1514, 2923, 543, 2029, 267, 519, 5354, 616, 31536, 633, 267, 7334, 267, 543, 930, 711, 1459, 693, 782, 269, 5131, 12081, 563, 763, 5168, 568, 267, 972, 3340, 513, 4090, 540, 9237, 1582, 26190, 543, 7029, 689, 3237, 543, 7855, 547, 3391, 938, 3059, 4961, 1360, 5402, 543, 5965, 873, 547, 581, 3222, 267, 28450, 267, 17519, 543, 23564, 593, 1480, 7919, 538, 606, 12212, 3348, 13895, 1604, 267, 799, 666, 3362, 1291, 873, 547, 1118, 4057, 1272, 5079, 799, 666, 2663, 1860, 741, 2729, 610, 11678, 269, 0, 32481, 519, 1158, 2804, 1646, 568, 693, 12918, 609, 519, 11091, 540, 938, 1604, 269, 13317, 1143, 568, 3533, 2144, 5317, 2476, 693, 602, 799, 649, 991, 585, 938, 6668, 269, 1403, 972, 568, 513, 2518, 1863, 2344, 4346, 519, 2347, 9552, 540, 938, 1604, 568, 17149, 269, 1306, 513, 1267, 540, 713, 1480, 14486, 568, 538, 519, 1360, 2282, 2104, 269, 634, 6668, 540, 8103, 5673, 593, 721, 9117, 1631, 547, 3247, 713, 14213, 540, 16851, 593, 519, 4541, 269, 1452, 616, 12050, 6898, 865, 594, 786, 1631, 1397, 596, 1250, 6169, 563, 3519, 16330, 5633, 1696, 620, 3370, 513, 1867, 538, 476, 1960, 278, 602, 6836, 547, 2322, 513, 3902, 11090, 593, 519, 1871, 540, 2596, 5117, 2533, 269, 6423 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 16765, 29354, 519, 4397, 12809, 267, 14774, 1909, 540, 25655, 2021, 269, 4256, 7589, 607, 21847, 1129, 4705, 513, 811, 1950, 543, 13857, 4008, 2497, 1369, 693, 2547, 930, 2609, 540, 25245, 2528, 563, 15703, 29345, 553, 5031, 713, 4334, 676, 5104, 868, 777, 3151, 13104, 30823, 839, 1996, 811, 6671, 2021, 269, 634, 11599, 21563, 333, 327, 843, 337, 6829, 1152, 771, 323, 664, 585, 519, 598, 333, 1516, 267, 9940, 14565, 540, 1200, 15180, 267, 519, 14799, 717, 644, 14725, 269, 2701, 12595, 10100, 543, 8521, 2431, 2962, 936, 21522, 1368, 850, 543, 26760, 563, 299, 4526, 15925, 1932, 669, 3660, 2021, 945, 3274, 7608, 741, 6830, 17480, 543, 20495, 547, 1491, 606, 3742, 1688, 538, 5935, 741, 1378, 535, 919, 267, 1997, 908, 971, 1780, 2032, 609, 8467, 269, 4033, 6589, 11168, 519, 19831, 15421, 543, 5718, 1035, 18210, 540, 13104, 30823, 839, 3379, 547, 1455, 2777, 342, 1161, 563, 4322, 6589, 7866, 25245, 16431, 540, 22838, 267, 8956, 267, 543, 1463, 1145, 538, 4655, 1373, 13615, 2047, 547, 1685, 894, 27828, 269, 1744, 1752, 30823, 839, 7550, 891, 24940, 2275, 10757, 10305, 543, 2238, 267, 15980, 24940, 23938, 10643, 899, 968, 8705, 6205, 892, 5103, 741, 4775, 3023, 269, 4256, 7589, 538, 8396, 5116, 873, 538, 22880, 4334, 547, 519, 5354, 540, 2021, 16876, 547, 9940, 1875, 2173, 26090, 5107, 563, 4407, 1034, 25655, 2021, 530, 913, 267, 556, 1563, 1453, 267, 543, 7307, 10820, 267, 13104, 30823, 839, 9901, 6619, 609, 9604, 6537, 269, 4256, 3742, 6278, 538, 24940, 21384, 13733, 538, 519, 3068, 540, 2413, 21050, 525, 827, 14461, 4008, 15523, 538, 10120, 22778, 807, 563, 15987, 4686, 267, 891, 2021, 12927, 602, 25655, 2486, 4847, 693, 2547, 930, 4055, 585, 1346, 945, 15653, 12809, 8706, 6541, 538, 3870, 540, 29752, 2962, 593, 543, 1055, 519, 25071, 563, 1432, 9894, 25655, 1744, 1752, 631, 4660, 839, 23203, 888, 763, 2442, 3239, 540, 25655, 1744, 1752, 631, 4660, 839, 1419, 8580, 999, 22649, 540, 18979, 2021, 24224, 538, 6370, 268, 2819, 24915, 269, 8616, 267, 3140, 6589, 543, 15456, 4681, 2709, 513, 811, 13857, 2070, 563, 2252, 891, 24116, 2021, 11478, 267, 789, 2693, 21039, 13974, 547, 5256, 31557, 585, 6370, 269, 14022, 528, 267, 4352, 711, 607, 11342, 607, 13269, 538, 2923, 267, 1522, 723, 3769, 513, 5832, 13875, 688, 21310, 330, 936, 513, 14950, 4765, 28630, 267, 5356, 4027, 269, 29581, 1115, 267, 3335, 598, 673, 543, 18705, 689, 4401, 610, 16463, 267, 9580, 12023, 741, 9843, 563, 6944, 9009, 547, 2442, 3661, 267, 519, 11599, 18057, 539, 31238, 2404, 609, 31557, 616, 811, 513, 5137, 540, 476, 866, 628, 10601, 11509, 1143, 982, 3140, 6111, 269, 3143, 15456, 2963, 7028, 519, 2856, 602, 31557, 267, 2436, 5256, 610, 4775, 267, 20595, 18057, 539, 31238, 538, 6370, 563, 1103, 8396, 267, 1744, 1752, 631, 4660, 839, 4440, 29937, 539, 9604, 28330, 547, 1346, 1031, 676, 25655, 2367, 281, 32639, 267, 17887, 267, 884, 1513, 267, 543, 695, 3658, 1765, 15759, 1537, 547, 741, 4408, 820, 563, 7628, 4948, 1272, 267, 891, 2021, 2693, 21039, 538, 6093, 25655, 2021, 779, 30933, 281, 513, 32028, 896, 1673, 816, 9944, 513, 15144, 523, 22536, 816, 610, 3284, 1258, 267, 4371, 1927, 676, 2156, 665, 1127, 610, 11800, 269, 2274, 1430, 10887, 610, 25192, 941, 3044, 267, 609, 27972, 6545, 610, 695, 1177, 3149, 585, 14246, 538, 21617, 16374, 563, 297, 1168, 601, 787, 729, 1455, 267, 609, 2156, 665, 1127, 267, 20805, 1218, 267, 543, 19273, 711, 1175, 25798, 855, 849, 8876, 12572, 543, 8825, 4644, 563, 4407, 621, 779, 15673, 532, 547, 4952, 1744, 1752, 631, 4660, 839, 538, 3586, 6370, 10591, 267, 789, 941, 7533, 2694, 540, 741, 2486, 267, 3056, 15491, 2729, 602, 2838, 3309, 5107, 543, 30933, 563, 1103, 25245, 13299, 267, 1130, 5652, 1845, 3180, 513, 2027, 2990, 607, 4775, 5515, 5702, 13988, 609, 8396, 543, 519, 12556, 540, 15468, 21847, 269, 4256, 10305, 543, 11645, 7703, 11495, 19320, 547, 519, 13104, 30823, 839, 540, 25655, 10828, 563, 309, 1779, 344, 1845, 941, 25461, 609, 8939, 12325, 945, 5747, 12703, 569, 538, 6370, 543, 13057, 741, 20339, 547, 4406, 327, 718, 320, 267, 13095, 514, 779, 23836, 10689, 1141, 789, 1131, 3136, 2866, 543, 905, 8463, 2394, 519, 3284, 32565, 6370, 540, 681, 1725, 541, 758, 269, 901, 1909, 5116, 1130, 5652, 1845, 693, 519, 1360, 2295, 540, 25655, 24116, 2528, 543, 12738, 1472, 2669, 563, 2414, 11886, 713, 32444, 5539, 267, 1130, 5652, 1845, 2877, 4987, 267, 19831, 5578, 267, 543, 23440, 609, 8396, 269, 1358, 849, 17820, 10100, 267, 524, 7342, 267, 543, 5718, 538, 1199, 11868, 1063, 519, 26441, 540, 519, 2713, 543, 519, 4666, 269, 634, 7907, 20083, 9985, 609, 1346, 11911, 547, 13104, 30823, 839, 998, 8941, 540, 741, 25071, 7518, 1080, 563, 2005, 568, 2693, 811, 982, 14626, 2064, 602, 891, 1079, 2010, 540, 4775, 5515, 2671, 865, 1082, 7592, 269, 3509, 5640, 3494, 519, 1523, 540, 519, 1130, 5652, 4471, 7153, 689, 4505, 5711, 543, 2854, 2984, 540, 13104, 30823, 839, 18071, 27089, 543, 8956, 950, 8165, 7258, 2367, 269, 3683, 942, 267, 891, 6180, 531, 2021, 2968, 7242, 860, 1242, 607, 10859, 1673, 643, 710, 1781, 657, 619, 540, 519, 32219, 4666, 563, 1607, 3095, 1063, 1130, 5652, 1845, 543, 13104, 30823, 839, 24889, 609, 15244, 540, 519, 8545, 1336, 538, 13742, 267, 30401, 267, 543, 3140, 6589, 269, 898, 1202, 514, 340, 919, 602, 519, 1130, 5652, 1845, 540, 25245, 7242, 6565, 693, 2547, 13148, 689, 513, 17830, 540, 4641, 827, 32090, 2021, 945, 941, 4397, 547, 3180, 741, 1378, 538, 19831, 5468, 543, 4159, 519, 10100, 543, 6891, 540, 1022, 32161, 5869, 563, 1103, 713, 1769, 267, 1130, 5652, 1845, 666, 581, 9763, 1312, 607, 26704, 13413, 547, 13104, 30823, 839, 543, 849, 607, 11760, 906, 602, 2021, 941, 5433, 5827, 540, 10283, 538, 2112, 543, 5935, 922, 6364, 269, 4256, 4720, 14753, 547, 519, 2686, 4644, 543, 12572, 1379, 891, 4775, 21847, 4371, 538, 519, 25655, 2113, 24586, 563, 17457, 7377, 9177, 3493, 11881, 454, 763, 11599, 13104, 30823, 523, 5170, 547, 581, 513, 20013, 540, 2442, 2923, 267, 556, 19960, 1441, 998, 2413, 9423, 585, 4207, 9458, 269, 9282, 23503, 267, 741, 12572, 4567, 607, 4775, 21847, 16877, 1459, 6377, 6386, 563, 763, 3778, 19305, 12416, 31557, 4547, 700, 4526, 15925, 267, 19416, 13104, 30823, 523, 543, 593, 8135, 7385, 540, 681, 1725, 541, 700, 1054, 15842, 330, 267, 1394, 547, 1272, 269, 7591, 539, 676, 918, 1430, 2106, 654, 4883, 1157, 267, 700, 4526, 15925, 568, 2808, 519, 6574, 13104, 30823, 523, 540, 1200, 5736, 1107, 513, 18979, 25142, 945, 5012, 20679, 543, 3652, 607, 513, 808, 22611, 538, 1200, 1378, 1318, 269, 4173, 1915, 11479, 1753, 4775, 16882, 4798, 602, 13469, 609, 13588, 563, 299, 4526, 15925, 689, 31557, 454, 763, 25245, 30816, 14810, 3126, 634, 7831, 8003, 2934, 14070, 13104, 30823, 523, 20710, 320, 269, 2701, 24151, 519, 2112, 23899, 7115, 543, 25071, 23258, 2404, 609, 891, 24069, 269, 4033, 2982, 899, 6969, 793, 619, 15827, 13104, 30823, 839, 883, 6760, 5559, 553, 607, 2178, 4775, 5012, 563, 308, 321, 529, 21510, 512, 11474, 883, 519, 9029, 609, 476, 1708, 271, 779, 3381, 3014, 2667, 817, 514, 779, 595, 7517, 4406, 327, 718, 320, 267, 15603, 5716, 18220, 661, 643, 528, 519, 16423, 11860, 1170, 539, 267, 513, 25655, 986, 3187, 4171, 3983, 817, 2044, 9055, 519, 13104, 30823, 523, 31672, 269, 661, 643, 528, 18327, 2021, 666, 581, 8449, 25412, 21847, 543, 3401, 3379, 547, 5256, 13413, 563, 4537, 1752, 30823, 839, 723, 6273, 14070, 24116, 2021, 5515, 2094, 570, 13083, 1329, 779, 661, 578, 2106, 269, 26135, 9089, 899, 27211, 10787, 1067, 779, 7256, 540, 570, 2651, 338, 959, 559, 9609, 4183, 6370, 3620, 731, 2989, 5869, 1149, 774, 3073, 559, 543, 10793, 267, 1247, 21546, 19676, 779, 25655, 2389, 1335, 539, 966, 3298, 543, 27254, 3126, 11363, 18979, 11078, 3125, 538, 7916, 563, 4467, 545, 2835, 543, 30841, 723, 849, 7550, 519, 6249, 269, 15550, 1633, 590, 15676, 6212, 593, 519, 7518, 1080, 540, 519, 13104, 30823, 523, 18897, 325, 4883, 538, 10120, 2342, 269, 2997, 12310, 540, 519, 9855, 5544, 7547, 31733, 779, 1491, 538, 519, 1915, 540, 8330, 571, 267, 5373, 1463, 6667, 689, 25245, 17691, 563, 4322, 14906, 1431, 949, 30996, 880, 1686, 267, 2943, 789, 5031, 5571, 22906, 609, 891, 24069, 540, 4775, 1379, 269, 634, 1130, 5050, 6891, 540, 519, 13104, 30823, 523, 1869, 24889, 538, 2413, 6386, 14120, 2021, 779, 4222, 267, 689, 14676, 547, 3381, 3756, 547, 2962, 1790, 17977, 5559, 553, 269, 4256, 12572, 9371, 26251, 607, 9913, 27372, 563, 268, 1744, 1752, 30823, 839, 941, 2021, 21847, 538, 25245, 543, 27272, 8941, 945, 10692, 7258, 2367, 267, 29937, 532, 9604, 543, 24915, 563, 268, 8466, 6589, 543, 15456, 2963, 5267, 930, 25655, 2021, 1705, 1491, 909, 7916, 267, 1219, 3539, 4008, 5107, 563, 268, 25587, 13104, 30823, 839, 899, 21563, 333, 327, 843, 337, 267, 700, 4526, 15925, 267, 543, 670, 969, 528, 941, 1767, 547, 6474, 5256, 12325, 538, 27089, 543, 5578, 563, 268, 3400, 1407, 540, 11439, 2021, 1448, 547, 513, 15410, 540, 4775, 31557, 2047, 7722, 538, 8396, 610, 4108, 5718, 5107, 563, 268, 32439, 6813, 13104, 30823, 839, 8165, 538, 12959, 267, 6029, 789, 1185, 930, 27733, 538, 25655, 2486, 563, 268, 19120, 885, 540, 7242, 545, 1130, 5652, 1845, 2693, 7153, 689, 5711, 8941, 540, 1483, 13104, 30823, 839, 18071, 10100, 563, 268, 4256, 9371, 607, 4775, 25881, 16877, 2413, 1402, 2528, 26007, 538, 2982, 267, 3756, 267, 2835, 267, 543, 14676, 563, 4537, 1752, 631, 4660, 839, 1107, 14174, 17988, 454, 1692, 1082, 4775, 25655, 24116, 30401, 723, 1044, 1336, 888, 18744, 513, 1507, 1297, 267, 1472, 476, 2918, 267, 723, 1044, 17046, 569, 4857, 269, 901, 6920, 13104, 30823, 839, 941, 5266, 16613, 267, 1498, 1007, 5027, 2079, 2553, 949, 10625, 811, 563, 12441, 13104, 30823, 839, 4339, 7258, 519, 2367, 538, 2834, 12959, 888, 28398, 338, 616, 3908, 267, 855, 2959, 2446, 13104, 30823, 839, 8165, 538, 930, 12959, 269, 1358, 2693, 15548, 7258, 2367, 593, 8317, 855, 941, 711, 851, 540, 519, 3339, 16034, 563, 12441, 13104, 30823, 839, 1152, 2291, 2038, 538, 519, 25655, 6520, 888, 27066, 2408, 909, 998, 519, 476, 1724, 628, 2540, 267, 10834, 789, 30174, 538, 930, 4390, 2429, 519, 25655, 5736, 269, 1809, 789, 941, 2693, 1034, 1455, 1282, 519, 2038, 25655, 986, 1749, 563, 27745, 513, 13104, 30823, 523, 849, 19533, 543, 723, 513, 1920, 888, 8133, 267, 13104, 30823, 839, 949, 723, 10692, 950, 1762, 543, 796, 3405, 3072, 1354, 23928, 1524, 269, 2368, 6589, 2446, 13104, 30823, 839, 945, 1705, 19533, 543, 723, 1453, 1310, 741, 8165, 2395, 269, 4256, 3742, 24116, 6197, 729, 10151, 585, 1082, 563, 3674, 6154, 5984, 513, 1744, 1752, 631, 4660, 523, 888, 4407, 6154, 5984, 3884, 1406, 9286, 607, 513, 2757, 1744, 1752, 631, 4660, 523, 267, 1200, 1909, 538, 25245, 13299, 11498, 3564, 6071, 12205, 609, 2648, 543, 5898, 563, 9515, 7506, 13137, 267, 7446, 15468, 21847, 585, 1200, 31676, 10689, 543, 19299, 3532, 13742, 899, 519, 5696, 2358, 29546, 8405, 331, 864, 563, 15447, 333, 585, 1200, 4222, 543, 7115, 267, 1352, 2853, 694, 573, 337, 267, 513, 22408, 1356, 344, 5532, 547, 2112, 269, 2755, 711, 513, 21055, 1744, 1752, 631, 4660, 523, 267, 6154, 5984, 24151, 513, 14984, 267, 15491, 4137, 267, 16471, 10305, 540, 1379, 267, 2112, 267, 543, 15831, 6438, 7907, 538, 25245, 13299, 563, 763, 9159, 10828, 540, 519, 25655, 13104, 30823, 523, 814, 28815, 585, 5553, 267, 13830, 4337, 5209, 609, 8941, 540, 18979, 2021, 21847, 11836, 519, 16034, 540, 2367, 538, 6370, 563, 4407, 9840, 3136, 936, 741, 2407, 9860, 538, 1686, 267, 519, 15244, 891, 12703, 5515, 2451, 3297, 20726, 693, 513, 2486, 1141, 693, 2547, 930, 2021, 10489, 2105, 6671, 4008, 6302, 563, 19853, 3677, 31032, 3734, 9371, 2729, 593, 607, 513, 3532, 3090, 540, 19831, 10100, 543, 4222, 602, 1869, 26182, 2413, 26007, 269, 9282, 519, 19178, 6961, 688, 5414, 267, 519, 13104, 30823, 523, 18840, 6943, 3788, 9565, 267, 8744, 891, 13009, 4565, 5074, 2021, 540, 519, 25655, 6520, 12667, 569, 547, 1272, 538, 14868, 267, 6386, 267, 543, 519, 2442, 9637, 563, 4537, 641, 25655, 4035, 601, 787, 454, 6701, 13730, 827, 31557 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1871, 829, 2875, 267, 1269, 272, 269, 1704, 5826, 543, 4238, 3454, 2557, 267, 2488, 1269, 272, 267, 10204, 2199, 8907, 829, 2875, 543, 814, 476, 271, 30779, 625, 540, 5826, 543, 4238, 3454, 2557, 2451, 269, 901, 568, 606, 6654, 1383, 602, 1510, 1533, 5351, 972, 3112, 581, 606, 3160, 2069, 1982, 538, 1034, 7147, 2950, 563, 2414, 1224, 811, 5225, 2845, 538, 610, 24049, 547, 519, 3059, 7160, 4179, 2517, 4178, 269, 1214, 6647, 26236, 2593, 14727, 32111, 553, 260, 736, 290, 913, 260, 736, 289, 534, 1676, 2839, 5325, 272, 270 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2112, 267, 2705, 267, 6628, 543, 5333, 556, 928, 3022, 593, 741, 14767, 540, 2407, 6259, 7115, 267, 3079, 12270, 519, 11182, 2687, 547, 519, 5204, 7719, 6261, 545, 582, 15716, 269, 901, 20729, 531, 17275, 30891, 1851, 5204, 20379, 543, 18674, 741, 8207, 547, 3035, 9758, 16285, 780, 1103, 3932, 267, 519, 3735, 13524, 543, 2038, 14206, 5553, 4718, 519, 11944, 540, 7524, 28929, 5322, 538, 16850, 269, 27837, 676, 1312, 2757, 9099, 2418, 543, 4207, 5375, 16431, 267, 15628, 899, 1346, 538, 620, 6363, 520, 520, 543, 519, 1546, 25218, 1436, 9549, 22002, 1114, 2994, 547, 7682, 26219, 3961, 543, 5706, 4914, 13567, 269, 6736, 22303, 267, 789, 21490, 519, 1259, 585, 2663, 9620, 585, 7115, 543, 8329, 547, 5935, 2413, 16850, 781, 2686, 543, 2797, 5251, 780, 21010, 532, 713, 1686, 609, 1459, 6377, 2152, 267, 649, 666, 7747, 875, 519, 9371, 540, 891, 2038, 28929, 5322, 5170, 547, 3337, 27964, 4478, 26219, 16285, 267, 3443, 5025, 4599, 1143, 267, 543, 4187, 1996, 5007, 6304, 269, 1280, 3236, 267, 5571, 9840, 3823, 519, 2197, 781, 2797, 2497, 2992, 4505, 5717, 827, 3844, 1436, 8957, 15139, 1436, 269, 5015, 267, 519, 2833, 540, 891, 21722, 3906, 2709, 3407, 4245, 585, 4207, 1514, 5126, 3646, 2429, 519, 3148, 1107, 12077, 267, 519, 2956, 540, 9322, 267, 7580, 4058, 267, 543, 10770, 14223, 5103, 14488, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8649, 23165, 476, 1960, 273, 264, 476, 25090, 268, 28071, 282, 808, 269, 5840, 263, 808, 12569, 4811, 1575, 476, 9340, 282, 2701, 742, 1752, 476, 1960, 274, 5148, 670, 269, 849, 13187, 689, 20917, 476, 1704, 281, 1724, 21756, 269, 4856, 476, 1015, 281, 275, 282, 476, 273, 7033, 476, 274, 281, 279, 282, 7225, 324, 476, 280, 1040, 476, 274, 281, 272, 268, 277, 282, 476, 280, 281, 1626, 268, 2764, 282, 476, 1321, 281, 1240, 268, 2190, 282, 4860, 476, 1428, 281, 274, 1040, 1546, 583, 476, 276, 281, 736, 268, 2764, 282, 623, 338, 476, 9818, 281, 278, 282, 11184, 476, 3393, 281, 276, 282, 32647, 269, 15584, 729, 547, 21756, 538, 5754, 659, 12764, 9791, 263, 32647, 269, 15584, 941, 5393, 6131, 609, 14172, 269, 15584, 11751, 21756, 538, 5754, 659, 12764, 543, 905, 9312, 4988, 269, 5845, 334, 540, 28641, 263, 2372, 320, 652, 269, 1546, 583, 476, 4097, 281, 272, 282, 32333, 476, 272, 281, 1321, 282, 476, 273, 21756, 538, 269, 7442, 3326, 517, 3780, 631, 20325, 267, 17880, 1105, 639, 1040, 769, 21756, 538, 5754, 659, 12764, 9791, 2594, 17634, 590, 269, 15584, 267, 808, 297, 306, 476, 3451, 263, 476, 2735, 273, 264, 476, 26801, 268, 14838, 282, 918, 269, 18614, 267, 25553, 304, 476, 4375, 263, 476, 3192, 278, 264, 476, 4097, 268, 4510, 282, 744, 269, 26187, 636, 267, 4525, 543, 4609, 269, 21756, 538, 5754, 659, 12764, 9791, 3332, 267, 808, 301, 2464, 476, 1321, 263, 476, 4198, 274, 264, 476, 18597, 268, 23211, 282, 918, 269, 667, 1090, 520, 626, 267, 808, 7704, 476, 4097, 263, 476, 2735, 274, 264, 476, 2641, 268, 3066, 282, 595, 269, 1546, 17458, 517, 558, 1756, 476, 4097, 281, 272, 268, 279, 267, 1546, 12928, 322, 19816, 269, 7720, 8240, 267, 715, 539, 22721, 338, 476, 6246, 263, 476, 2735, 280, 264, 476, 272, 268, 1015, 282, 631, 269, 31886, 263, 5507, 476, 3422, 275, 264, 476, 15704, 268, 19442, 269, 3751, 267, 4574, 538, 21756, 538, 5754, 659, 12764, 269, 16097, 593, 519, 21756, 540, 15584, 263, 9663, 269, 3400, 325, 22519, 664, 7770, 476, 4350, 272, 264, 476, 18597, 268, 3607, 274, 282, 717, 269, 717, 525, 600, 339, 4546, 330, 267, 918, 2967, 4592, 476, 1626, 263, 476, 3192, 275, 264, 476, 14065, 268, 21497, 282, 808, 269, 24415, 1662, 553, 267, 645, 12569, 3008, 476, 2190, 263, 476, 3422, 272, 264, 476, 275, 866, 268, 4510, 274, 282, 631, 269, 26499, 523, 3541, 16334, 1088, 30113, 333, 1676, 263, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5664, 5101, 1315, 16850, 1315, 2817, 626, 28073, 538, 7073, 16850, 630, 17218, 476, 866, 628, 268, 22022, 476, 736, 628, 5553, 9460, 1040, 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, 0, 6092, 5149, 281, 4197, 32495, 1389, 543, 10289, 9147, 11096, 2684, 625, 692, 8893, 476, 272, 281, 1548, 3657, 32495, 1389, 2496, 5970, 596, 2479, 4862, 519, 2666, 21199, 9944, 707, 3952, 899, 972, 729, 513, 2731, 2462, 14903, 678, 22824, 676, 3544, 286, 2107, 6148, 621, 5433, 899, 2576, 1185, 14593, 596, 30122, 286, 1403, 865, 267, 596, 1522, 723, 4810, 513, 1507, 13091, 256, 1323, 13091, 4523, 950, 972, 568, 3350, 538, 519, 3047, 779, 12933, 1107, 519, 9018, 4494, 540, 938, 4541, 269, 6884, 267, 891, 5322, 5305, 1648, 602, 3123, 519, 24373, 649, 1745, 269, 1284, 1289, 713, 5950, 1648, 20381, 6329, 780, 5331, 2921, 513, 12285, 6656, 543, 15198, 621, 856, 593, 513, 3349, 269, 3767, 952, 596, 1747, 513, 5230, 3440, 538, 519, 4099, 540, 602, 21401, 6656, 267, 621, 5932, 513, 4965, 610, 16702, 1472, 519, 3440, 269, 1879, 596, 4894, 519, 3440, 267, 519, 6656, 536, 25555, 1394, 909, 267, 2870, 678, 31454, 1175, 899, 1018, 4523, 609, 20381, 6329, 1282, 606, 13091, 269, 1452, 6329, 2951, 998, 519, 3047, 543, 666, 2014, 1713, 3441, 4470, 593, 741, 2450, 543, 4087, 780, 4131, 781, 1589, 827, 26280, 2871, 7315, 267, 519, 1292, 1915, 689, 834, 2704, 633, 257, 676, 12794, 29883, 269, 2755, 10707, 585, 960, 835, 1554, 267, 26280, 2871, 7315, 2833, 1945, 2484, 811, 7920, 982, 513, 2370, 24373, 282, 3079, 267, 646, 8188, 606, 11212, 3532, 13091, 602, 2242, 1010, 3003, 1158, 269, 4014, 17559, 543, 16160, 267, 16767, 2709, 721, 3407, 1344, 827, 875, 938, 3047, 13333, 24323, 269, 12207, 1353, 16767, 5702, 547, 1451, 811, 827, 519, 1950, 1949, 693, 1404, 2620, 1369, 938, 4541, 780, 12244, 281, 2913, 781, 1711, 938, 1378, 2203, 540, 606, 13091, 1210, 10036, 610, 14859, 269, 23426, 519, 1570, 883, 513, 6366, 2627, 8204, 519, 3047, 781, 12933, 269, 3973, 7903, 1079, 11263, 883, 519, 2627, 630, 13678, 1791, 547, 11093, 513, 5230, 3440, 264, 4929, 519, 1412, 322, 6412, 262, 547, 22775, 269, 17179, 707, 11263, 7444, 1247, 11287, 519, 1259, 519, 1570, 536, 25555, 1394, 910, 1346, 2099, 519, 20381, 6329, 2813, 676, 1483, 16767, 2439, 14945, 8893, 476, 273, 281, 4985, 547, 9147, 11096, 2684, 625, 281, 4804, 6168, 25230, 22675, 692, 3086, 1577, 781, 3460, 1394, 936, 476, 273, 267, 1822, 1296, 3516, 547, 3504, 3624, 267, 1141, 8797, 2367, 3838, 741, 4555, 593, 875, 1004, 1223, 2661, 1434, 2729, 1927, 269, 2290, 971, 14544, 729, 25230, 639, 267, 945, 5059, 593, 5837, 2418, 267, 1697, 2623, 2509, 1866, 267, 543, 1582, 21553, 2889, 22777, 269, 3571, 10752, 941, 6394, 883, 513, 1433, 1572, 834, 763, 1323, 531, 31637, 540, 25230, 639, 2437, 799, 2882, 2161, 902, 543, 7391, 1063, 1864, 543, 1010, 13794, 780, 3519, 14673, 857, 639, 5156, 602, 10103, 1851, 2043, 543, 2486, 3323, 609, 16614, 3347, 1063, 1004, 269, 1280, 1383, 267, 1453, 1590, 1397, 2083, 658, 14039, 1214, 1107, 2620, 2463, 543, 1416, 1107, 4724, 741, 3237, 543, 22242, 269, 6684, 267, 17710, 2877, 547, 1521, 741, 5396, 9425, 543, 24963, 269, 1635, 1739, 891, 3741, 267, 3025, 1131, 3565, 547, 2679, 513, 12560, 543, 18900, 2146, 780, 1103, 834, 2704, 633, 2580, 1256, 9624, 14784, 3361, 676, 519, 13091, 267, 26280, 2871, 7315, 9727, 2609, 540, 25230, 534, 6138, 998, 12391, 585, 1010, 1920, 2818, 543, 20678, 585, 2123, 13120, 1247, 4509, 8699, 780, 12244, 281, 5994, 1373, 513, 1246, 518, 540, 25230, 639, 269, 3503, 1524, 1614, 2055, 596, 1131, 2307, 1864, 1759, 593, 3584, 1271, 547, 596, 267, 971, 607, 11505, 267, 2069, 267, 610, 14619, 269, 9523, 707, 2055, 609, 15032, 543, 1865, 2009, 4267, 2687, 547, 25230, 639, 262, 10752, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2704, 633, 676, 12794, 29883, 307, 784, 2871, 7315, 568, 513, 2834, 1870, 2006, 267, 9393, 267, 543, 4651, 267, 3843, 547, 1265, 513, 2816, 585, 1010, 8250, 543, 606, 19887, 585, 1010, 5067, 538, 6917, 3624, 269, 1261, 781, 1985, 538, 1899, 547, 581, 21470, 10615, 540, 519, 666, 1676, 344, 1141, 646, 1568, 269, 2290, 6640, 538, 3735, 5147, 646, 2306, 519, 22221, 5662, 5721, 7552, 689, 16334, 10202, 4975, 547, 19248, 604, 340, 267, 547, 2932, 1870, 585, 1010, 2754, 602, 646, 13922, 786, 6368, 1291, 547, 513, 13319, 543, 519, 2653, 1272, 269, 634, 2621, 602, 1246, 616, 4986, 2110, 540, 27314, 267, 607, 519, 1360, 3618, 10593, 896, 2871, 7315, 781, 3952, 269, 901, 568, 12794, 29883, 781, 3001, 267, 9490, 267, 9159, 1650, 540, 606, 13091, 543, 513, 1455, 812, 267, 519, 13218, 540, 1920, 543, 519, 7060, 540, 25896, 281, 519, 3501, 4367, 547, 606, 18368, 28601, 2413, 4487, 563, 763, 1323, 531, 31637, 540, 25230, 639, 676, 25230, 639, 763, 1323, 531, 31637, 540, 25230, 639, 5531, 338, 519, 10752, 610, 21428, 528, 3359, 540, 519, 4457, 14544, 25230, 639, 630, 4649, 272, 268, 5325, 280, 7460, 1040, 1261, 11828, 519, 13919, 540, 2229, 543, 519, 1367, 267, 1514, 3347, 267, 5126, 543, 5609, 1356, 640, 269, 634, 10952, 4779, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7991, 6278, 543, 7589, 616, 2565, 3334, 540, 3811, 2749, 4058, 543, 4683, 1646, 267, 3226, 538, 4180, 12581, 1569, 547, 1898, 2533, 899, 2922, 6704, 1216, 269, 634, 8574, 3177, 8711, 519, 2956, 540, 4974, 3811, 2665, 540, 8537, 10398, 539, 1216, 11865, 538, 4872, 2066, 4000, 267, 5607, 267, 543, 3162, 3013, 269, 769, 713, 3296, 540, 519, 1837, 267, 649, 786, 5490, 4514, 883, 2146, 6278, 543, 7589, 267, 6313, 922, 4644, 267, 2591, 267, 1655, 2853, 267, 543, 1761, 3435, 780, 14294, 881, 766, 540, 7991, 22580, 543, 30880, 454, 24801, 19030, 19931, 2146, 6278, 543, 7589, 5512, 14519, 543, 24990, 547, 1732, 1174, 2199, 2115, 267, 7375, 267, 543, 14422, 630, 290, 1941, 13665, 1299, 5576, 520, 1084, 3213, 601, 14833, 267, 476, 1220, 278, 1040, 1635, 5473, 4961, 538, 3375, 6194, 3157, 267, 4566, 1831, 811, 17841, 267, 16048, 267, 543, 4264, 630, 293, 2426, 1299, 19159, 267, 476, 1220, 274, 1040, 5015, 267, 3742, 12504, 9525, 666, 2087, 12477, 267, 3972, 267, 543, 5698, 1063, 2229, 8041, 267, 4357, 5823, 9988, 267, 3540, 2486, 3906, 267, 543, 2950, 630, 289, 990, 1515, 323, 267, 476, 1220, 278, 1040, 11086, 267, 1134, 27059, 2146, 6278, 2994, 3565, 547, 4824, 10350, 267, 8476, 1514, 22122, 267, 543, 2799, 9547, 1851, 7264, 780, 29936, 538, 7991, 22580, 543, 30880, 454, 24801, 14945, 8601, 741, 2640, 267, 2502, 2950, 538, 2749, 4058, 543, 4683, 1646, 8188, 1896, 2591, 269, 1452, 949, 1331, 1379, 20817, 267, 1893, 7496, 267, 3668, 540, 4656, 827, 3255, 585, 7589, 267, 3908, 2200, 267, 543, 12721, 7569, 593, 1004, 781, 942, 630, 6635, 333, 7322, 267, 476, 3422, 280, 282, 30474, 1696, 620, 1421, 476, 1960, 276, 1040, 3958, 267, 18351, 2065, 3029, 540, 1857, 15360, 1419, 3111, 547, 1711, 6209, 1689, 1813, 547, 13385, 1246, 28443, 543, 6388, 540, 2146 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 2413, 267, 543, 29478, 15472, 269, 898, 2636, 25249, 547, 2769, 4664, 998, 5714, 267, 27763, 20517, 1247, 8220, 609, 519, 11733, 543, 18405, 540, 4207, 8964, 269, 5994, 8384, 513, 2773, 4904, 609, 27789, 6186, 17267, 267, 682, 2355, 267, 7140, 267, 543, 6989, 1740, 910, 782, 1305, 547, 9159, 23964, 269, 16319, 5863, 267, 1318, 2496, 4131, 781, 4685, 4514, 883, 891, 1079, 6163, 543, 1451, 930, 1187, 5013, 2059, 519, 1259, 2439, 1262, 3849, 698, 1470, 16001, 265, 9894, 596, 917, 602, 740, 720, 630, 29455, 513, 327, 5937, 288, 295, 313, 295, 264, 2501, 689, 519, 1482, 3597, 607, 740, 698, 1470, 286, 5637, 1913, 22132, 689, 519, 5824, 8231, 1412, 611, 807, 576, 516, 10086, 2495, 1412, 1729, 9114, 693, 9538, 1924, 9247, 267, 1312, 2474, 9305, 547, 1373, 9350, 267, 17159, 267, 610, 1869, 563, 265, 3487, 333, 1359, 568, 1898, 547, 1034, 740, 698, 1470, 9696, 267, 855, 1705, 596, 849, 917, 602, 972, 781, 971, 513, 3364, 1572, 834, 320, 518, 658, 24574, 1359, 22172, 17224, 658, 24574, 1359, 3322, 17666, 707, 7649, 1055, 519, 2666, 1282, 3076, 1206, 543, 6585, 267, 2870, 18198, 8090, 1164, 1657, 519, 3942, 269, 3807, 4952, 865, 2130, 899, 513, 6177, 538, 3501, 5348, 322, 609, 1776, 1268, 2439, 1262, 299, 344, 3740, 11873, 16001, 265, 5620, 596, 2479, 14478, 513, 15854, 1356, 1685, 11953, 20584, 286, 667, 3496, 11953, 20584, 539, 568, 1455, 538, 11430, 3740, 4773, 1317, 621, 6087, 1732, 4276, 609, 519, 2666, 267, 3850, 5159, 547, 1745, 811, 5191, 538, 741, 5322, 563, 265, 2290, 2189, 2460, 540, 11430, 3740, 7544, 568, 27906, 5314, 269, 932, 648, 20802, 3006, 5000, 25249, 547, 4612, 519, 5152, 781, 5048, 21176, 267, 4611, 538, 3309, 12644, 1256, 952, 789, 2671, 519, 1482, 3950, 780, 2026, 649, 5490, 2417, 883, 1620, 740, 698, 1470, 543, 11430, 3740, 3350, 267, 3314, 602, 2259, 543, 9639, 786, 948, 596, 4487, 1585, 2553, 2404, 609, 873, 269, 6787, 7900, 4805, 610, 29050, 267, 2141, 11441, 547, 2995, 2984, 543, 18427, 4664, 998, 1169, 23972, 543, 1900, 269, 8414, 15472, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22977, 889, 32492, 4437, 727, 2559, 923, 2986, 634, 4053, 1529, 25063, 3590, 454, 22977, 889, 32492, 4437, 727, 2559, 923, 2986, 634, 4053, 1529, 25063, 3590, 454, 7468, 1550, 6723, 2306, 8106, 1851, 4436, 7128, 538, 934, 6748, 711, 1614, 26977, 269, 3571, 5639, 568, 8402, 267, 513, 1915, 547, 7083, 6778, 321, 520, 1084, 267, 519, 3078, 4320, 543, 2855, 15219, 8926, 540, 519, 13584, 540, 12986, 269, 1323, 3134, 889, 12985, 27354, 2559, 923, 267, 513, 1533, 543, 519, 6909, 11356, 540, 3127, 267, 646, 17388, 838, 10165, 909, 676, 519, 11509, 1143, 538, 476, 3192, 280, 269, 2334, 17275, 24076, 1614, 6208, 1354, 519, 4990, 540, 13584, 5261, 267, 945, 556, 3438, 730, 536, 6139, 1042, 8402, 607, 513, 2312, 2575, 538, 14440, 269, 3134, 889, 12985, 27354, 2559, 923, 540, 519, 8591, 922, 6602, 547, 1082, 25210, 267, 609, 513, 6422, 8917, 593, 1762, 4992, 5716, 269, 31434, 6276, 267, 23688, 783, 540, 15345, 21036, 267, 7813, 540, 519, 4639, 267, 13780, 4204, 15928, 267, 543, 2353, 1014, 345, 6820, 7767, 832, 269, 16863, 616, 7745, 513, 5832, 268, 14127, 13820, 6804, 3134, 889, 12985, 27354, 2559, 923, 540, 519, 30273, 609, 842, 515, 267, 835, 512, 1512, 1310, 741, 1990, 1993, 3757, 3280, 267, 15214, 21504, 267, 11074, 8052, 1540, 676, 6828, 517, 263, 16998, 14149, 1040, 1358, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3849, 698, 1470, 543, 10370, 3740, 11873, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 18190, 1299, 7195, 2280, 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, 0, 3848, 476, 1691, 281, 7780, 1006, 631, 1120, 619, 543, 21733, 29792, 630, 300, 261, 2026, 2020, 5970, 596, 2479, 9289, 875, 930, 4213, 1332, 543, 1831, 2462, 14078, 286, 2290, 1259, 789, 798, 713, 568, 998, 12388, 619, 543, 4203, 29792, 630, 300, 261, 2026, 1040, 589, 32421, 4523, 950, 1079, 3549, 9192, 547, 1106, 513, 1007, 2754, 267, 1247, 606, 11601, 4386, 950, 835, 2754, 1207, 903, 1776, 2754, 269, 4653, 267, 649, 786, 1451, 827, 10626, 631, 261, 2026, 1107, 1018, 789, 616, 267, 1946, 789, 4755, 267, 543, 875, 789, 1860, 721, 780, 5331, 972, 616, 1079, 2199, 16741, 15945, 538, 707, 4884, 269, 1358, 1312, 6133, 8949, 533, 11170, 553, 855, 3068, 9157, 6735, 269, 1677, 3251, 2178, 267, 519, 5411, 1522, 2015, 11836, 4229, 676, 26399, 883, 835, 2462, 16741, 6300, 269, 901, 1131, 1450, 873, 547, 2671, 2200, 899, 5820, 267, 3937, 267, 543, 5234, 269, 8625, 267, 789, 1223, 4196, 811, 5561, 267, 1930, 1007, 6753, 267, 543, 6148, 1256, 6338, 1007, 10624, 3688, 2439, 3086, 1577, 781, 4019, 713, 1523, 547, 1857, 20848, 267, 971, 607, 1216, 267, 5201, 267, 610, 3154, 7426, 269, 3807, 899, 938, 16741, 15945, 267, 3006, 621, 2306, 2631, 585, 10626, 3549, 547, 19467, 610, 10536, 1142, 824, 269, 1635, 9256, 2200, 267, 789, 666, 1683, 1732, 2533, 267, 2087, 5989, 267, 543, 3914, 811, 1004, 269, 1280, 1383, 267, 4952, 952, 1079, 1507, 1216, 3761, 3549, 24673, 282, 1927, 267, 789, 1223, 6488, 18960, 2029, 547, 2973, 1216, 811, 7561, 543, 2327, 10930, 6704, 1216, 585, 3025, 538, 519, 2146, 780, 4913, 267, 1175, 899, 1022, 1870, 3375, 267, 972, 616, 3652, 543, 6042, 538, 1747, 1354, 513, 32421, 610, 11601, 666, 1491, 1747, 269, 1452, 4031, 948, 2149, 6800, 267, 2061, 30049, 625, 267, 543, 3895, 14619, 1369, 6080, 269, 3204, 22399, 1590, 5402, 2689, 1169, 6069, 4308, 547, 2327, 922, 2640, 29387, 1761, 19363, 269, 1403, 9516, 267, 519, 9241, 4646, 11769, 814, 1569, 547, 2799, 3854, 267, 3850, 873, 547, 1902, 538, 9283, 543, 10124, 780, 3719, 945, 16976, 2436, 513, 32421, 4422, 4464, 610, 4991, 15653, 286, 2334, 5539, 8813, 2390, 2229, 8041, 3743, 585, 13327, 4370, 1585, 9922, 269, 1280, 3236, 267, 519, 8549, 6052, 27943, 8189, 21560, 954, 8063, 5201, 6455, 267, 2067, 3154, 17783, 2297, 267, 32394, 1379, 5108, 267, 543, 3282, 18180, 3928, 269, 3557, 862, 3827, 849, 1404, 2629, 5107, 538, 15725, 703, 2858, 622, 20848, 780, 1103, 3932, 267, 12388, 619, 543, 4203, 29792, 1851, 10626, 3549, 4125, 1950, 3157, 6322, 693, 5355, 2533, 543, 4398, 269, 2755, 891, 8852, 4324, 519, 3238, 9988, 267, 7453, 4808, 2291, 547, 16102, 7082, 4690, 543, 2226, 2635, 2344, 6384, 269, 4197, 891, 2035, 2636, 721, 547, 5660, 519, 2208, 540, 4213, 1472, 721, 543, 5431, 519, 1909, 5129, 676, 1876, 543, 7939, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2467, 949, 581, 5094, 1587, 2516, 21751, 538, 10697, 14104, 267, 682, 2084, 267, 11573, 3042, 14104, 267, 543, 1857, 14104, 269, 634, 1587, 2516, 949, 581, 3606, 6896, 2687, 547, 741, 9030, 3527, 610, 25584, 563, 4407, 519, 8273, 8492, 3622, 6023, 3677, 3091, 267, 1346, 9388, 616, 7864, 543, 20991, 1063, 982, 4130, 9388, 269, 4746, 267, 519, 4130, 5092, 12948, 3549, 1810, 1406, 723, 519, 1804, 16841, 12014, 540, 519, 4439, 613, 31455, 8492, 267, 543, 13604, 267, 7363, 6023, 8273, 7443, 19114, 689, 799, 547, 973, 20234, 1619, 5520, 269, 18391, 6619, 547, 2104, 4876, 8925, 267, 1995, 693, 835, 540, 519, 1292, 4439, 613, 31455, 8492, 3622, 4667, 6574, 593, 513, 16056, 267, 8806, 1813, 547, 519, 2140, 6284, 269, 1306, 519, 8760, 10522, 267, 891, 8492, 723, 13646, 610, 4238, 799, 616, 11658, 547, 267, 610, 693, 2547, 13671, 538, 267, 513, 1808, 1858, 540, 519, 2197, 269, 1323, 3236, 568, 513, 7147, 2861, 6140, 5092, 4871, 609, 513, 2582, 5604, 543, 7864, 982, 476, 736, 5520, 602, 14553, 20362, 631, 26031, 2709, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25219, 1006, 631, 1120, 619, 543, 21733, 29792, 257, 607, 851, 540, 834, 30311, 1315, 5398, 7780, 1988, 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, 0, 6092, 5149, 281, 7981, 9314, 21478, 543, 4750, 2065, 6715, 31772, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 1950, 16799, 1063, 2027, 1719, 2516, 267, 2923, 7881, 267, 543, 4760, 2065, 8699, 998, 519, 7828, 540, 513, 1808, 2013, 5473, 513, 772, 2529, 269, 6837, 1308, 11347, 267, 741, 2078, 609, 513, 25211, 626, 267, 543, 519, 6286, 585, 9086, 1373, 2808, 676, 741, 18322, 1308, 12233, 269, 901, 2013, 1353, 3091, 721, 606, 4316, 547, 4983, 1585, 3344, 540, 875, 4031, 616, 1500, 267, 5683, 9270, 585, 20859, 8989, 593, 971, 6927, 267, 543, 519, 1761, 1764, 540, 3768, 826, 3310, 593, 11180, 5238, 269, 1284, 786, 849, 2263, 519, 1523, 540, 13104, 4031, 543, 741, 4644, 538, 7863, 5191, 540, 519, 2046, 543, 3329, 894, 19761, 780, 296, 269, 5295, 995, 9314, 338, 543, 8889, 10435, 454, 288, 269, 20223, 2027, 4690, 692, 22492, 1719, 2516, 2874, 540, 3906, 5275, 547, 3895, 4507, 15028, 547, 741, 1880, 2014, 610, 2872, 269, 1452, 9988, 1419, 2308, 25211, 1235, 1765, 785, 1339, 338, 945, 946, 741, 6791, 543, 4296, 547, 12167, 585, 15424, 2962, 6225, 547, 741, 7218, 262, 3853, 269, 2755, 972, 616, 1082, 1134, 10784, 1549, 539, 543, 16048, 11051, 1369, 891, 16034, 267, 4145, 8451, 950, 7526, 540, 1719, 10836, 267, 5732, 18731, 519, 3375, 6194, 3157, 1898, 547, 9111, 780, 289, 269, 8865, 5530, 281, 11724, 894, 9291, 1744, 13831, 543, 32264, 11676, 3626, 692, 763, 7971, 4815, 2376, 8711, 513, 3510, 1141, 772, 2529, 269, 11724, 894, 9291, 1744, 13831, 630, 305, 268, 5183, 1070, 1287, 28579, 540, 519, 5600, 18815, 9730, 267, 15597, 31889, 2348, 513, 834, 29148, 4357, 543, 2123, 2078, 257, 609, 32264, 11676, 3626, 267, 513, 25211, 626, 8204, 5794, 6050, 585, 3013, 269, 2311, 519, 1482, 942, 267, 519, 12233, 729, 7722, 538, 5717, 827, 556, 10461, 1944, 519, 8549, 28645, 10029, 630, 293, 8150, 1040, 4014, 1100, 8763, 3652, 941, 26991, 2687, 547, 519, 5600, 15979, 15015, 267, 2055, 2611, 3823, 2436, 3768, 826, 3310, 5129, 513, 1909, 538, 5935, 674, 8150, 3609, 1813, 547, 713, 2123, 4276, 780, 2862, 269, 9012, 15979, 543, 26930, 454, 288, 269, 4762, 26555, 540, 1719, 692, 22711, 1235, 1590, 581, 21713, 1996, 4890, 543, 9228, 7526, 540, 1719, 602, 1223, 14207, 741, 2702, 547, 1867, 1843, 1947, 543, 8308, 269, 1879, 8720, 2984, 5473, 3532, 2043, 610, 3906, 267, 1065, 13024, 1058, 2057, 1256, 519, 5920, 540, 1561, 3064, 1214, 547, 2226, 17258, 609, 3988, 543, 13588, 780, 289, 269, 2598, 26918, 5288, 269, 2283, 1049, 1436, 692, 300, 4215, 19093, 3068, 2604, 547, 3666, 11413, 609, 3743, 8989, 2853, 269, 1234, 548, 2084, 1344, 827, 2123, 3347, 899, 1346, 4330, 538, 519, 2013, 1353, 666, 948, 1217, 9458, 282, 2705, 267, 3257, 865, 1510, 1697, 2796, 949, 3565, 547, 25127, 543, 25749, 2864, 982, 17766, 1769, 593, 1271, 2152, 7133, 1857, 10304, 780, 7656, 269, 27986, 4750, 2065, 17796, 543, 15213, 540, 519, 4964, 454, 288, 269, 1548, 616, 13104, 4031, 2496, 4537, 1752, 4031, 3277, 547, 29071, 2966, 547, 2149, 20859, 689, 1373, 25997, 547, 7866, 14804, 2959, 610, 2820, 592, 613, 6213, 1344, 5833, 1282, 3377, 326, 1430, 532, 2238, 269, 1452, 20038, 4268, 2066, 22875, 267, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2934, 11081, 267, 4758, 4473, 547, 519, 3954, 24231, 10851, 4478, 873, 630, 8993, 338, 269, 476, 277, 543, 476, 272, 321, 1040, 634, 6024, 6175, 540, 519, 2837, 5012, 547, 4389, 10688, 543, 8757, 540, 519, 11179, 4657, 25436, 4405, 566, 2175, 547, 1106, 22140, 1586, 267, 799, 2611, 1631, 4130, 1317, 540, 519, 4389, 595, 2173, 984, 1006, 269, 5381, 2621, 616, 7368, 2390, 2417, 8757, 540, 25436, 4405, 566, 2175, 543, 598, 1260, 26938, 7576, 566, 269, 901, 1576, 540, 2621, 666, 581, 7368, 1896, 2053, 267, 799, 666, 1267, 538, 1896, 7766, 5933, 540, 7576, 566, 543, 4061, 2491, 519, 9244, 26945, 6532, 7306, 607, 15069, 1459, 538, 8431, 269, 476, 277, 322, 269, 634, 3169, 4611, 19916, 786, 4096, 593, 513, 1950, 540, 2188, 971, 607, 3444, 3296, 543, 2470, 540, 519, 8919, 543, 519, 6534, 4494, 267, 18254, 2557, 540, 2802, 22005, 267, 3845, 689, 519, 8919, 267, 2557, 540, 9023, 267, 2450, 540, 519, 7720, 306, 959, 559, 9707, 10189, 267, 3092, 269, 634, 1184, 568, 24298, 538, 519, 20419, 540, 7612, 476, 278, 269, 589, 12343, 540, 713, 9183, 568, 602, 519, 2450, 540, 519, 22130, 10580, 666, 581, 6766, 676, 9013, 519, 9023, 1524, 18330, 269, 2334, 1058, 1291, 547, 1454, 10276, 327, 2331, 4630, 23189, 950, 519, 9023, 2557, 568, 22485, 269, 634, 1249, 602, 649, 6140, 1265, 954, 5632, 730, 10195, 5267, 602, 789, 616, 5687, 11946, 1227, 2484, 811, 15028, 982, 10195, 593, 1283, 540, 519, 2627, 269, 12769, 31531, 543, 538, 1880, 693, 3476, 18254, 2053, 267, 13421, 593, 1283, 540, 519, 2627, 616, 4646, 269, 4256, 3337, 543, 2497, 568, 20093, 1738, 267, 5310, 1813, 547, 519, 2139, 476, 274, 5232, 540, 5191, 267, 607, 666, 581, 2938, 538, 7612, 476, 279, 269, 7831, 855, 711, 2547, 649, 723, 7318, 519, 6617, 540, 891, 3889, 693, 19355, 2175, 269, 1284, 723, 6740, 513, 3732, 585, 827, 1079, 3275, 693, 19355, 2175, 269, 3816, 1046, 2406, 267, 1100, 7298, 2242, 941, 4767, 267, 519, 21536, 16558, 7283, 4625, 16856, 563, 2171, 723, 3177, 2963, 585, 519, 2208, 540, 1804, 630, 13367, 531, 30562, 4394, 538, 8006, 264, 22130, 21536, 16558, 1063, 7720, 306, 9212, 676, 3114, 11517, 18254, 540, 2802, 22005, 693, 476, 8517, 290, 269, 634, 22130, 21536, 16558, 723, 15866, 9764, 5546, 543, 666, 1332, 909, 547, 1896, 30562, 4394, 538, 8006, 269, 4256, 2208, 568, 7691, 676, 519, 954, 5632, 566, 540, 3327, 8444, 7933, 574, 619, 1282, 519, 18254, 1184, 543, 998, 12889, 267, 971, 607, 1900, 8728, 269, 634, 2497, 568, 19658, 676, 519, 17883, 540, 2802, 22005, 693, 19535, 4609, 540, 7720, 306, 971, 607, 7720, 268, 32558, 730, 1900, 8728, 269, 23113, 593, 1283, 540, 519, 7720, 306, 2627, 723, 1044, 849, 4767, 267, 855, 789, 616, 1360, 17077, 269, 901, 5267, 602, 621, 568, 10069, 13443, 15028, 585, 3327, 547, 954, 5632, 622, 538, 519, 7720, 306, 269, 3955, 5632, 566, 9259, 723, 1044, 5892, 4767, 1282, 519, 2208, 540, 1895, 268, 4353, 15373, 832, 593, 7720, 306, 1990, 28702, 1001, 277, 560, 24780, 6902, 586, 7776, 1001, 277, 29115, 1547, 1717, 267, 538, 891, 2090, 519, 954, 5632, 730, 2249, 1705, 711, 1106, 6366, 10195, 543, 519, 954, 5632, 566, 7271, 729, 711, 4857, 269, 3776, 1935, 9727, 519, 1463, 2208, 540, 22130, 19072, 24382, 10636, 739, 23461, 543, 533, 2314, 519, 1259, 4724, 519, 20185, 540, 2104, 476, 273, 291, 1570, 1759, 11418, 269, 4197, 519, 7576, 566, 543, 2208, 6127, 540, 891, 6106, 568, 606, 1271, 1900, 4724, 11938, 540, 519, 1184, 602, 666, 1291, 547, 2208, 540, 1804, 21536, 16558, 540, 22130, 610, 1256, 6024, 8874, 538, 1063, 519, 7720, 306, 9212, 269, 4279, 19349, 540, 519, 4630, 23189, 540, 519, 6532, 7306, 568, 4397, 689, 4824, 1852, 540, 519, 2837, 1282, 519, 9023, 1524, 1184, 269, 589, 2417, 1900, 1058, 581, 3144, 538, 1931, 547, 5372, 519, 13557, 7720, 306, 14041, 609, 513, 1906, 6106, 5394, 7720, 306, 26828, 799, 1223, 5512, 5730, 1852, 540, 519, 10636, 739, 4450, 11098, 543, 568, 3810, 14909, 585, 3926, 3156, 563, 763, 4589, 9684, 519, 10656, 9257, 585, 3194, 630, 301, 310, 302, 267, 5254, 310, 476, 14625, 4029, 264, 585, 2883, 1489, 563, 268, 630, 272, 264, 918, 269, 8734, 846, 21754, 267, 667, 269, 808, 21628, 267, 674, 269, 2480, 1117, 514, 267, 570, 269, 4425, 1054, 267, 966, 269, 10609, 582, 651, 341, 747, 267, 590, 269, 5651, 9926, 990, 267, 589, 269, 2983, 574, 267, 5565, 8820, 10570, 14848, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 269, 476, 9083, 630, 1789, 264, 630, 1220, 276, 264, 476, 10441, 7906, 1700, 10441, 7871, 563, 268, 630, 273, 264, 918, 269, 8734, 846, 21754, 267, 589, 269, 2983, 574, 267, 590, 269, 5651, 9926, 990, 267, 667, 269, 808, 21628, 267, 631, 269, 918, 1846, 333, 15625, 267, 594, 269, 717, 3419, 12929, 9366, 267, 590, 269, 14878, 517, 657, 267, 589, 269, 674, 597, 810, 341, 267, 5565, 8820, 3154, 540, 2527, 1652, 1019, 2350, 535, 1069, 687, 538, 22130, 267, 7186, 476, 275, 4343, 630, 3583, 277, 276, 264, 630, 1220, 276, 264, 476, 3192, 1700, 1220, 563, 268, 630, 274, 264, 918, 269, 8734, 846, 21754, 267, 589, 269, 2983, 574, 267, 590, 269, 5651, 9926, 990, 267, 667, 269, 808, 21628, 267, 962, 269, 18681, 267, 590, 269, 14878, 517, 657, 267, 594, 269, 717, 3419, 12929, 9366, 267, 589, 269, 674, 597, 810, 341, 267, 11272, 2361, 538, 11046, 1227, 6094, 3327, 8874, 267, 3163, 476, 27420, 630, 6321, 280, 277, 264, 630, 1220, 275, 264, 476, 26116, 1700, 5780, 280, 563, 268, 630, 275, 264, 631, 269, 2473, 340, 267, 570, 269, 9149, 836, 267, 631, 269, 26757, 267, 670, 269, 16441, 267, 717, 1905, 515, 928, 6438, 1079, 8820, 2326, 267, 6314, 269, 4860, 269, 476, 13647, 630, 276, 264, 630, 1001, 274, 264, 476, 4391, 277, 277, 1700, 4391, 280, 279, 563, 268, 630, 276, 264, 1627, 269, 670, 269, 15651, 267, 918, 269, 17833, 656, 541, 19053, 1228, 327, 267, 589, 269, 918, 529, 267, 808, 269, 715, 269, 23045, 2006, 267, 631, 269, 590, 269, 853, 3757, 334, 267, 22997, 543, 1904, 29741, 16361, 540, 1079, 8820, 5912, 4496, 27524, 531, 322, 4094, 1938, 267, 14844, 269, 15089, 1774, 577, 269, 476, 278, 630, 1556, 264, 630, 1001, 273, 264, 476, 277, 4200, 1700, 278, 1321, 563, 268, 630, 277, 264, 623, 269, 645, 2086, 537, 5894, 267, 681, 269, 11709, 6601, 5443, 267, 1627, 269, 962, 7776, 267, 645, 269, 7313, 12828, 2742, 267, 670, 269, 808, 269, 2098, 663, 341, 331, 2884, 267, 918, 269, 590, 582, 12847, 525, 267, 4347, 624, 13856, 5279, 3560, 543, 535, 1069, 328, 1377, 8930, 940, 538, 9923, 273, 270, 5471, 531, 17066, 267, 589, 5425, 10331, 269, 631, 831, 269, 3955, 5865, 476, 280, 630, 2420, 264, 630, 1001, 278, 264, 476, 4572, 4281, 1700, 4572, 10436, 563, 268, 630, 278, 264, 918, 269, 8734, 846, 21754, 267, 589, 269, 631, 880, 7770, 14150, 267, 589, 269, 2961, 1998, 14833, 267, 589, 269, 10011, 549, 4880, 334, 267, 476, 273, 323, 2326, 543, 8709, 3541, 3649, 1023, 10636, 739, 23461, 267, 3163, 476, 31874, 630, 277, 3066, 279, 1916, 268, 630, 279, 264, 589, 269, 2983, 574, 267, 594, 269, 717, 3419, 12929, 9366, 267, 11709, 3541, 3649, 1023, 10636, 739, 23461, 267, 7186, 476, 275, 4200, 630, 278, 3393, 280, 264, 630, 1001, 274, 264, 476, 275, 866, 1700, 28883, 563, 268, 630, 280, 264, 590, 269, 12794, 662, 267, 589, 269, 717, 3128, 27091, 267, 681, 269, 808, 531, 559, 267, 590, 269, 4936, 328, 267, 700, 269, 2826, 24274, 267, 667, 269, 18379, 553, 267, 918, 269, 8734, 846, 21754, 267, 700, 269, 623, 517, 558, 13873, 14150, 267, 589, 269, 2983, 574, 267, 681, 269, 717, 12643, 5995, 341, 267, 9061, 22891, 9196, 540, 1367, 6106, 543, 12617, 17103, 540, 22130, 2861, 10636, 739, 23461, 543, 2706, 331, 3430, 1182, 267, 14844, 269, 631, 831, 269, 476, 1556, 630, 280, 264, 630, 1001, 273, 264, 476, 278, 5038, 1700, 278, 6858, 563, 268, 630, 1015, 264, 700, 269, 623, 517, 558, 13873, 14150, 267, 589, 269, 2983, 574, 267, 589, 269, 11809, 4157, 990, 267, 681, 269, 808, 531, 559, 267, 590, 269, 5651, 9926, 990, 267, 918, 269, 8734, 846, 21754, 267, 594, 269, 717, 3419, 12929, 9366, 267, 661, 269, 10830, 267, 966, 269, 4258, 1014, 990, 267, 966, 269, 24415, 685, 14150, 267, 918, 269, 20242, 534, 23042, 267, 570, 269, 18000, 580, 1276, 328, 267, 681, 269, 717, 12643, 5995, 341, 267, 20658, 762, 4496, 15564, 15975, 5912, 538, 5595, 2000, 9707, 22130, 10636, 739, 23461, 267, 14844, 269, 4284, 563, 268, 630, 1556, 264, 570, 269, 9677, 328, 537, 267, 681, 269, 808, 531, 559, 267, 645, 269, 5617, 548, 267, 700, 269, 2826, 24274, 267, 681, 269, 717, 12643, 5995, 341, 267, 590, 269, 5651, 9926, 990, 267, 962, 11607, 297, 269, 13690, 267, 589, 269, 717, 3128, 27091, 267, 590, 269, 12794, 662, 267, 744, 269, 25120, 541, 990, 20391, 267, 700, 269, 661, 2314, 267, 700, 269, 623, 517, 558, 13873, 14150, 267, 589, 269, 2983, 574, 267, 918, 269, 8734, 846, 21754, 267, 589, 269, 631, 880, 7770, 14150, 267, 26432, 2361, 13716, 24923, 1759, 593, 22130, 2914, 338, 476, 273, 10636, 739, 23461, 585, 8465, 543, 12001, 11418, 267, 14844, 269, 15089, 1774, 577, 269, 476, 279, 630, 273, 264, 630, 1001, 274, 264, 476, 1911, 1700, 9818, 563, 268, 630, 1321, 264, 700, 269, 24204, 267, 962, 11607, 295, 269, 10557, 267, 2473, 269, 700, 532, 267, 661, 269, 16114, 657, 267, 962, 269, 1744, 514, 267, 962, 269, 6931, 267, 631, 269, 667, 4209, 344, 267, 661, 269, 918, 1314, 597, 553, 267, 808, 269, 15158, 267, 670, 269, 15651, 267, 570, 269, 6022, 659, 3930, 267, 717, 1905, 515, 928, 8276, 657, 273, 10316, 2029, 585, 1804, 8397, 1079, 8820, 11418, 267, 30594, 32731, 269, 476, 1691, 630, 277, 264, 630, 1001, 275, 264, 476, 25134, 276, 1700, 27420, 274, 563, 268, 630, 1724, 264, 623, 269, 645, 2086, 537, 5894, 267, 918, 269, 590, 582, 12847, 525, 267, 631, 269, 670, 269, 27119, 330, 2006, 267, 670, 269, 808, 269, 2098, 663, 341, 331, 2884, 267, 645, 269, 7313, 12828, 2742, 267, 717, 1905, 515, 928, 3308, 3278, 519, 9357, 3892, 593, 2011, 268, 2193, 8491, 544, 3821, 267, 2233, 269, 3115, 269, 476, 278, 630, 1001, 278, 264, 476, 275, 4097, 7906, 563, 268, 630, 1691, 264, 2473, 269, 667, 269, 670, 11607, 290, 269, 595, 269, 962, 269, 670, 269, 962, 10224, 20568, 267, 26637, 744, 269, 1284, 1170, 267, 2473, 269, 667, 10224, 267, 11709, 3541, 3649, 1023, 10636, 739, 23461, 543, 3457, 267, 14844, 269, 4860, 269, 631, 831, 269, 476, 272, 630, 8182, 5655, 1916, 268, 630, 1428, 264, 590, 269, 681, 739, 600, 11844, 267, 661, 269, 8935, 560, 16223, 1695, 267, 670, 269, 30110, 24739, 6953, 657, 572, 7236, 267, 645, 269, 14858, 2106, 714, 1228, 327, 267, 670, 269, 2473, 514, 267, 681, 269, 13198, 4302, 267, 31478, 512, 30802, 25694, 4055, 2837, 19842, 8015, 725, 22331, 903, 539, 676, 6462, 19073, 20543, 593, 22130, 12547, 267, 18280, 269, 2233, 269, 3353, 565, 269, 476, 277, 630, 1321, 264, 630, 1001, 277, 264, 476, 31404, 275, 1700, 31979, 274, 563, 268, 630, 1626, 264, 661, 269, 8935, 560, 16223, 1695, 267, 590, 269, 681, 739, 600, 11844, 267, 595, 15772, 1836, 27433, 9829, 4577, 3679, 6419, 22130, 12547, 281, 3171, 334, 287, 2998, 17376, 27940, 554, 607, 513, 3532, 10316, 18463, 585, 10282, 540, 967, 1794, 565, 2684, 11209, 1794, 6839, 337, 542, 525, 267, 808, 269, 7502, 1355, 28497, 2233, 269, 476, 275, 4281, 630, 1001, 277, 264, 476, 18231, 1700, 27868, 563, 268, 630, 1704, 264, 808, 269, 2473, 826, 267, 808, 269, 5842, 31712, 25286, 600, 698, 31381, 267, 667, 269, 10089, 332, 1662, 267, 623, 269, 10496, 638, 617, 267, 589, 269, 2677, 327, 335, 663, 324, 267, 918, 269, 20242, 534, 23042, 267, 570, 269, 18000, 580, 1276, 328, 267, 623, 269, 808, 541, 21034, 6953, 518 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2081, 540, 454, 324, 908, 873, 269, 3962, 1032, 267, 4892, 2972, 811, 982, 476, 1321, 2929, 9748, 540, 454, 3080, 540, 519, 7887, 5571, 9840, 3823, 519, 16603, 568, 3843, 547, 454, 29664, 856, 799, 1426, 1895, 547, 1747, 621, 538, 269, 2368, 1745, 602, 519, 16603, 568, 454, 320, 10448, 1247, 1866, 616, 1175, 607, 2386, 602, 621, 568, 513, 4829, 269, 898, 4667, 454, 1729, 4096, 593, 799, 1895, 540, 1004, 596, 2307, 607, 547, 1018, 707, 2626, 786, 454, 2041, 269, 589, 4829, 568, 3989, 607, 519, 17580, 851, 689, 513, 9921, 15496, 2030, 563, 293, 8816, 568, 3335, 13881, 6151, 269, 1306, 972, 616, 1082, 2010, 540, 14274, 267, 596, 454, 15884, 1265, 930, 602, 6492, 607, 6653, 607, 13212, 267, 1247, 1866, 786, 581, 811, 454, 514, 1899, 609, 18717, 610, 31480, 267, 799, 616, 1634, 607, 5388, 563, 289, 582, 534, 1235, 3494, 602, 1022, 15123, 1506, 1570, 8720, 513, 6079, 610, 5452, 454, 5035, 5809, 513, 4829, 269, 29088, 2159, 584, 1235, 3180, 602, 513, 16603, 568, 513, 10448, 563, 763, 16603, 729, 1767, 547, 581, 513, 4829, 2394, 3735, 538, 519, 476, 5197, 271, 338, 865, 621, 1223, 454, 28300, 1373, 3454, 539, 269, 1717, 267, 513, 15194, 676, 519, 10966, 7040, 4957, 621, 547, 454, 320, 10448, 865, 602, 9204, 1223, 581, 6394, 689, 621, 563, 2691, 596, 2015, 519, 4277, 1686, 540, 519, 16603, 2059, 609, 454, 1080, 8949, 6492, 267, 2436, 621, 568, 513, 4829, 540, 513, 10448, 568, 2731, 711, 454, 810, 1271, 1310, 782, 269, 0, 3674, 320, 659, 17125, 2421, 630, 20103, 476, 1556, 267, 476, 11260, 271, 1107, 5147, 476, 1240, 267, 476, 9264, 277, 264, 729, 519, 1101, 543, 11359, 17135, 540, 17996, 543, 6039, 538, 519, 1533, 9777, 2137, 540, 9098, 543, 3345, 10491, 269, 1261, 729, 849, 513, 17199, 538, 7083, 14480, 3467, 781, 2782, 267, 519, 21829, 2782, 267, 543, 519, 2782, 540, 476, 8687, 273, 269, 2755, 17294, 267, 646, 13948, 3366, 519, 17996, 17740, 807, 538, 519, 11135, 540, 519, 774, 1868, 267, 606, 2962, 602, 729, 30039, 609, 513, 6837, 1308, 7108, 29274, 269, 4032, 625, 538, 8370, 2829, 267, 543, 1896, 4872, 543, 4108, 13279, 267, 723, 1044, 3957, 538, 1010, 8956, 269, 3571, 23816, 1145, 585, 3627, 16299, 8657, 781, 634, 23068, 14576, 568, 5156, 547, 581, 519, 2601, 17996, 7550, 519, 1533, 2138, 1729, 834, 18197, 649, 1796, 267, 5258, 649, 2887, 8487, 3674, 320, 659, 17125, 2421, 729, 4535, 538, 519, 19435, 540, 15930, 593, 5412, 476, 1556, 267, 476, 11260, 271, 267, 2282, 670, 4526, 560, 1144, 538, 19291, 630, 852, 6115, 264, 6019, 269, 1261, 729, 519, 3791, 1126, 543, 2034, 5067, 540, 5345, 534, 543, 2913, 527, 807, 630, 290, 2135, 264, 17125, 2421, 267, 945, 6294, 3603, 689, 570, 2958, 16336, 267, 12986, 267, 538, 476, 15876, 276, 269, 2991, 1010, 2069, 693, 2199, 3506, 267, 17125, 2421, 5249, 593, 1010, 4651, 781, 8690, 566, 267, 543, 12212, 1336, 960, 607, 513, 5619, 528, 269, 17125, 2421, 781, 4651, 4503, 513, 1390, 4308, 540, 2724, 950, 30716, 13519, 781, 31052, 542, 22314, 1010, 29988, 9663, 4123, 1870, 267, 543, 1079, 1296, 2663, 267, 519, 1870, 262, 5638, 941, 10032, 538, 513, 2777, 3595, 269, 9182, 538, 5412, 476, 10082, 271, 267, 519, 1920, 6410, 547, 519, 1858, 2282, 30290, 267, 17906, 267, 1141, 789, 3710, 513, 6830, 543, 513, 9467, 2022, 269, 3371, 267, 17125, 2421, 543, 1010, 4651, 5249, 585, 1614, 1296, 1200, 3429, 12418, 563, 306, 3559, 2421, 781, 4108, 3028, 3459, 950, 646, 6039, 607, 2034, 2987, 268, 12252, 547, 1010, 4651, 693, 519, 11135, 540, 8672, 20167, 9586, 267, 519, 1152, 2101, 6370, 540, 7083, 14480, 3467, 781, 2782, 269, 1261, 6591, 519, 10639, 540, 606, 4274, 18137, 2006, 543, 5619, 528, 267, 543, 6170, 519, 2038, 851, 540, 519, 21829, 2782, 11018, 7727, 585, 519, 25550, 8136, 269, 13536, 538, 519, 2112, 267, 646, 543, 3627, 1530, 22609, 3366, 30295, 936, 519, 29630, 1014, 15142, 1996, 519, 3703, 4229, 538, 3345, 10491, 269, 1261, 5129, 513, 11358, 1909, 538, 519, 3703, 14710, 693, 519, 11135, 540, 3751, 781, 13738, 269, 1280, 1010, 3028, 267, 646, 729, 4843, 609, 513, 30060, 18156, 543, 513, 6292, 540, 16537, 11169, 676, 519, 3345, 10491, 23328, 267, 543, 519, 28215, 834, 24874, 3751, 781, 13738, 257, 4553, 1864, 519, 1964, 540, 1010, 1272, 563, 16729, 519, 2112, 267, 17125, 2421, 882, 11343, 547, 17996, 593, 3338, 13752, 547, 1864, 585, 1010, 4108, 3028, 543, 2968, 3238, 538, 17996, 781, 5912, 689, 513, 10315, 1993, 9098, 547, 606, 4830, 1533, 269, 3571, 5869, 1143, 1500, 1864, 2442, 609, 519, 4961, 540, 519, 1533, 267, 543, 519, 1533, 21146, 2852, 796, 29434, 3585, 11221, 1864, 17294, 538, 476, 9692, 273, 269, 1261, 17956, 519, 1533, 689, 4095, 6285, 543, 6896, 922, 1101, 2229, 269, 1261, 11573, 3042, 519, 18299, 523, 2637, 564, 26035, 547, 18609, 519, 6115, 7245, 547, 1118, 606, 6876, 609, 519, 5053, 585, 1863, 4123, 593, 519, 14967, 5211, 563, 4263, 519, 1439, 540, 1010, 1368, 828, 333, 31247, 2165, 267, 17125, 2421, 19622, 689, 1857, 1272, 267, 855, 646, 729, 1572, 1394, 883, 6214, 676, 519, 31587, 2782, 540, 476, 8687, 273, 269, 13573, 3089, 2103, 24016, 306, 3559, 2421, 547, 2196, 585, 17294, 1586, 543, 1291, 873, 998, 519, 17191, 4655, 269, 1261, 729, 11221, 3362, 267, 543, 693, 519, 7662, 540, 4937, 5261, 8361, 26858, 267, 26017, 10136, 689, 17996, 693, 519, 11135, 540, 519, 774, 1868, 269, 2311, 519, 3932, 540, 519, 2112, 267, 646, 17379, 5518, 6276, 3933, 19172, 781, 2709, 547, 1831, 14199, 540, 2782, 269, 769, 1010, 2063, 957, 540, 1857, 3028, 267, 646, 543, 12448, 12722, 19500, 607, 10243, 619, 547, 21907, 519, 12722, 27619, 689, 519, 19529, 553, 1177, 4095, 14316, 269, 1325, 2819, 513, 15713, 4759, 540, 519, 17996, 6426, 5980, 267, 17125, 2421, 931, 5034, 547, 4196, 607, 13030, 25535, 1211, 540, 519, 1715, 1977, 6426, 5980, 538, 476, 8687, 277, 269, 1261, 729, 513, 21705, 4759, 540, 8355, 6807, 3465, 2421, 614, 1014, 5939, 267, 855, 538, 476, 8687, 277, 267, 3710, 513, 1507, 562, 1180, 523, 7631, 1049, 5939, 593, 1010, 3959, 269, 1261, 849, 6039, 607, 519, 1101, 7022, 540, 519, 17996, 16581, 5980, 538, 476, 8687, 279, 267, 543, 729, 28579, 540, 519, 1101, 8274, 540, 11565, 4315, 540, 10418, 5441, 538, 476, 8687, 280, 269, 17125, 2421, 5747, 693, 1010, 10040, 538, 12493, 6019, 267, 17996, 267, 593, 5147, 476, 1240, 267, 476, 9264, 277, 269, 0, 293, 2393, 17148, 589, 19053, 454, 6624, 1004, 723, 4810, 519, 1928, 540, 3824, 3497, 547, 523, 5661, 269, 1358, 2049, 950, 519, 7944, 610, 2427, 540, 513, 547, 523, 841, 9428, 883, 519, 2571, 17145, 540, 519, 23179, 267, 1034, 1419, 519, 2462, 23179, 269, 16016, 3497, 547, 523, 5661, 666, 2014, 1928, 267, 11926, 267, 25017, 543, 3006, 3968, 269, 4340, 547, 519, 476, 1001, 273, 2817, 14272, 2657, 10495, 5342, 676, 519, 715, 11520, 6828, 585, 519, 4659, 585, 16473, 633, 14272, 2657, 267, 476, 1240, 2600, 540, 772, 2529, 269, 4079, 2085, 476, 2641, 543, 4587, 630, 2412, 2929, 1004, 264, 723, 4810, 3824, 3497, 547, 523, 5661, 563, 29493, 1154, 519, 547, 523, 5661, 1932, 2110, 543, 5924, 711, 5969, 873, 2786, 2066, 568, 519, 1034, 1455, 2014, 540, 3824, 3497, 547, 523, 5661, 269, 6271, 1455, 2014, 568, 10887, 602, 616, 1932, 2110, 610, 602, 3514, 1932, 17401, 543, 14771, 519, 19462, 1927, 269, 4658, 4171, 19462, 616, 29099, 17208, 616, 12155, 547, 2348, 3824, 3497, 547, 523, 5661, 269, 1358, 666, 849, 581, 1813, 547, 8194, 610, 5945, 547, 519, 23179, 610, 519, 547, 523, 841, 563, 7093, 3685, 543, 9615, 454, 7709, 293, 295, 5267, 519, 1655, 1259, 547, 2061, 3824, 3497, 547, 523, 5661, 538, 1004, 609, 2635, 3952, 568, 547, 2759, 519, 18969, 2786, 2066, 267, 855, 711, 1932, 2110, 267, 543, 547, 21066, 13217, 1022, 8325, 8728, 609, 606, 900, 2044, 4604, 610, 2973, 4496, 3758, 269, 23203, 1152, 5265, 5697, 543, 19034, 267, 607, 851, 540, 606, 7471, 1935, 267, 14950, 4765, 26852, 609, 10887, 609, 1875, 1606, 28309, 16080, 3421, 543, 1022, 7696, 338, 610, 9647, 18352, 11311, 610, 5227, 676, 513, 4387, 610, 3723, 1072, 3318, 269, 25398, 24595, 267, 3370, 2090, 723, 3254, 602, 9849, 24802, 7318, 14950, 4765, 26852, 666, 948, 2149, 1996, 7063, 547, 519, 2960, 270, 7809, 5160, 540, 519, 3723, 1813, 547, 1764, 267, 2604, 543, 19852, 4229, 269, 1635, 4543, 547, 2061, 7050, 2604, 593, 519, 2062, 20584, 543, 19462, 267, 789, 2569, 519, 10171, 602, 519, 547, 523, 5661, 786, 581, 22125, 1932, 5702, 1927, 563, 2252, 596, 723, 606, 3824, 3497, 547, 523, 841, 267, 27653, 707, 3952, 538, 3636, 1216, 585, 476, 1428, 547, 476, 736, 3764, 1896, 2053, 513, 1554, 269, 901, 6971, 11926, 543, 17212, 1407, 31926, 563, 2252, 596, 723, 513, 5594, 3824, 3497, 17970, 630, 1042, 543, 11213, 855, 609, 1100, 11166, 1070, 11093, 10412, 896, 519, 6316, 540, 519, 17970, 547, 5094, 621, 689, 519, 2960, 666, 1683, 8323, 269, 2422, 513, 2973, 3758, 547, 12740, 519, 17970, 909, 5594, 2476, 689, 519, 2960, 269, 901, 2337, 519, 17970, 547, 1332, 1394, 1657, 519, 6316, 540, 519, 2960, 269, 2422, 4568, 547, 2973, 572, 519, 1858, 1354, 543, 26063, 563, 2252, 596, 723, 25017, 267, 1928, 543, 10669, 267, 707, 10629, 610, 10540, 9332, 2077, 949, 16013, 610, 4894, 519, 3824, 3497, 6712, 540, 519, 17970, 269, 1280, 5312, 2665, 267, 707, 4387, 949, 2303, 9427, 513, 6712, 540, 519, 547, 523, 841, 1927, 609, 519, 5817, 5160, 630, 333, 841, 5127, 264, 547, 2061, 602, 851, 540, 519, 17970, 689, 3395, 1394, 269, 901, 5650, 568, 1419, 2944, 609, 3114, 267, 8955, 610, 824, 7344, 5773, 563, 2252, 596, 1995, 4049, 9636, 538, 519, 23179, 267, 543, 5924, 1294, 4191, 602, 10669, 610, 25017, 3100, 547, 581, 10825, 267, 707, 3824, 3497, 547, 523, 841, 1522, 581, 7783, 269, 898, 779, 942, 547, 1294, 707, 4387, 269, 19382, 796, 3430, 2105, 267, 3968, 666, 3262, 1369, 519, 3723, 543, 883, 519, 7633, 563, 10144, 609, 3987, 543, 5924, 29302, 610, 19847, 10009, 538, 519, 3952, 1058, 2760, 3801, 547, 1521, 3824, 3497, 547, 523, 5661, 610, 1022, 824, 3723, 2152, 593, 741, 1378, 855, 1058, 1294, 513, 10629, 585, 782, 3723, 2152, 269, 0, 7419, 4353, 8991, 14510, 5508, 570, 3036, 2177, 15674, 267, 11404, 2793, 6395, 281, 12824, 689, 519, 2160, 540, 17842, 267, 2160, 540, 12370, 543, 31089, 7970, 2160, 723, 1336, 513, 1259, 547, 2697, 519, 968, 22855, 1377, 31937, 892, 2451, 676, 513, 1880, 6656, 540, 4672, 1107, 543, 7654, 5512, 513, 811, 5730, 7447, 540, 922, 1764, 593, 2518, 4262, 2157, 267, 513, 1883, 2268, 540, 2518, 8337, 563, 2026, 519, 3047, 779, 2916, 2112, 916, 267, 513, 13621, 4672, 6656, 7472, 513, 3982, 543, 3810, 1875, 10595, 6134, 4806, 540, 4262, 7400, 1689, 267, 609, 4262, 1377, 9991, 2673, 547, 519, 13621, 4672, 6656, 543, 8375, 24482, 20991, 2476, 269, 634, 4806, 585, 1142, 4672, 6656, 568, 2189, 543, 568, 1634, 607, 922, 4262, 1377, 31937, 563, 4322, 4681, 1683, 513, 1007, 1505, 547, 10646, 4262, 7400, 9416, 21646, 538, 3140, 5638, 540, 4262, 2157, 267, 689, 824, 3157, 971, 607, 5836, 6329, 267, 29500, 267, 2242, 538, 5836, 10009, 267, 543, 8143, 7269, 540, 519, 5836, 269, 12207, 1472, 519, 1158, 616, 3843, 547, 7447, 1312, 519, 1699, 2557, 540, 4262, 1377, 4473, 543, 519, 3928, 540, 4672, 6656, 13621, 267, 543, 2943, 2370, 960, 814, 1044, 2944, 547, 9192, 519, 1079, 2042, 543, 2626, 891, 2055, 8195, 269, 12824, 689, 519, 29550, 540, 17842, 267, 12370, 543, 31089, 7970, 8179, 856, 8579, 2553, 602, 1185, 711, 5892, 1044, 4294, 547, 713, 1966, 267, 543, 3459, 3384, 519, 1007, 1505, 1210, 1239, 2079, 2553, 1455, 538, 824, 4610, 971, 607, 4702, 2257, 267, 9297, 267, 543, 14368, 1108, 269, 634, 3173, 1287, 7318, 543, 15568, 519, 1505, 676, 7311, 621, 547, 10991, 1239, 5036, 269, 634, 4255, 1683, 1271, 5583, 585, 519, 3498, 540, 519, 1505, 547, 4890, 4262, 7400, 5638, 563, 347, 1103, 3685, 1475, 6124, 1505, 547, 2697, 4262, 1377, 9416, 16493, 2008, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 20909, 267, 543, 3552, 669, 24075, 656, 1335, 636, 269, 3962, 12146, 4249, 513, 2629, 1909, 281, 13397, 528, 823, 2337, 865, 6139, 8886, 730, 31462, 1846, 282, 717, 5424, 2112, 916, 909, 519, 1560, 543, 6971, 6553, 282, 932, 24075, 656, 1335, 636, 1579, 1513, 3002, 543, 17212, 1407, 17219, 269, 8625, 267, 891, 1614, 2609, 1106, 513, 3532, 11100, 602, 7028, 7929, 1072, 543, 10970, 28179, 30414, 11522, 338, 780, 3719, 7227, 267, 972, 781, 811, 256, 9894, 596, 917, 602, 4457, 16909, 4915, 3884, 1405, 1152, 5363, 585, 3425, 855, 2831, 1932, 286, 8786, 267, 8197, 256, 26478, 538, 3624, 1419, 2490, 547, 891, 2085, 6040, 2853, 547, 1832, 741, 13184, 2635, 543, 14762, 269, 1924, 1985, 942, 596, 3643, 513, 3484, 267, 4605, 3025, 910, 1519, 16933, 267, 17944, 267, 14918, 267, 543, 23161, 910, 30364, 689, 519, 1482, 8797, 543, 8748, 1158, 540, 4457, 11922, 2439, 3086, 596, 1522, 4898, 952, 971, 2025, 2409, 1869, 960, 2221, 9624, 782, 519, 4359, 4066, 543, 1007, 8906, 269, 4270, 267, 1082, 1004, 3494, 789, 798, 1317, 789, 1294, 2318, 2164, 20250, 269, 5047, 267, 3173, 5001, 3136, 4974, 519, 7145, 540, 1367, 11922, 1031, 538, 4457, 4915, 267, 2417, 4570, 908, 741, 1761, 2640, 780, 1103, 3932, 267, 4457, 16909, 4915, 3091, 721, 606, 10578, 19214, 883, 1686, 1247, 3246, 4052, 3156, 585, 5009, 1072, 543, 8516, 269, 2060, 922, 8561, 593, 13326, 6587, 4229, 1369, 938, 4703, 543, 19713, 519, 1379, 540, 2470, 267, 713, 3504, 7067, 1148, 3788, 4143, 1256, 538, 2221, 781, 3728, 19550, 267, 1164, 24289, 1158, 269, 5808, 6487, 286, 9320, 835, 1554, 267, 9358, 786, 1831, 5461, 538, 1565, 811, 827, 4457, 11922, 543, 4687, 741, 11580, 609, 1866, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18131, 779, 1072, 267, 12680, 6791, 543, 1489, 454, 19185, 585, 12680, 1489, 888, 296, 6557, 1934, 547, 948, 454, 8005, 993, 594, 888, 296, 4076, 1044, 4543, 2021, 609, 1072, 543, 12680, 2152, 998, 1250, 6791, 538, 22591, 543, 2757, 4457, 4915, 585, 3592, 476, 736, 1296, 563, 296, 6557, 1934, 547, 948, 596, 609, 782, 3344, 540, 2021, 779, 1072, 543, 17441, 4145, 269, 3245, 12680, 547, 6379, 267, 2022, 31691, 6051, 547, 22797, 267, 543, 3564, 269, 25417, 3388, 689, 18492, 1928, 267, 14331, 267, 2566, 267, 4160, 267, 543, 3207, 4145, 269, 594, 666, 849, 948, 609, 5256, 12680, 2152, 1210, 2963, 2861, 5574, 547, 2087, 5033, 523, 2298, 543, 7274, 563, 296, 6594, 585, 513, 2947, 4458, 645, 9928, 630, 295, 976, 264, 4110, 538, 2757, 4457, 4915, 7836, 3670, 3275, 538, 19864, 2866, 538, 1079, 540, 519, 2749, 779, 3450, 10506, 267, 1141, 594, 849, 4607, 513, 25328, 540, 6925, 543, 723, 1044, 9750, 1250, 1702, 543, 2866, 2479, 2094, 563, 7069, 4282, 814, 1044, 15866, 538, 519, 1858, 540, 12680, 543, 10001, 293, 543, 723, 6170, 519, 2063, 476, 1240, 1296, 4543, 15185, 1035, 4592, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24336, 4173, 4472, 6925, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 4173, 4472, 5709, 725, 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, 0, 8080, 547, 11473, 10794, 5525, 256, 5620, 596, 2479, 9289, 875, 3381, 3756, 616, 2813, 543, 1018, 2306, 873, 2442, 286, 2107, 6148, 596, 4312, 4862, 827, 1004, 1210, 1750, 1846, 538, 3756, 543, 4941, 547, 917, 811, 827, 1946, 602, 1522, 581, 15673, 532, 286, 4270, 267, 596, 2811, 538, 519, 1318, 1747, 256, 2913, 781, 4685, 883, 519, 1158, 540, 11080, 543, 2263, 922, 1764, 593, 938, 2528, 780, 5575, 267, 1577, 781, 2911, 827, 3381, 3014, 1646, 269, 5994, 2870, 513, 2898, 1007, 7122, 4904, 609, 3197, 267, 2591, 267, 543, 9035, 256, 2334, 781, 1018, 3014, 9367, 798, 1169, 1554, 269, 1358, 946, 5752, 4654, 543, 1374, 2645, 547, 1628, 10600, 1141, 5716, 666, 9101, 4641, 543, 1831, 12325, 269, 1717, 267, 3384, 513, 3811, 3014, 3217, 942, 267, 4674, 267, 543, 2724, 1107, 1175, 899, 2679, 513, 1483, 3734, 11442, 4558, 2407, 540, 1187, 26208, 2439, 3086, 267, 4952, 1373, 2111, 547, 1205, 1346, 3579, 9162, 585, 1863, 610, 1256, 18846, 519, 3652, 540, 519, 4558, 269, 2368, 1004, 2119, 547, 1265, 2081, 1472, 9878, 585, 3756, 676, 1210, 1945, 1572, 834, 3832, 1846, 1701, 4258, 908, 1522, 3100, 20027, 267, 855, 621, 2965, 5540, 824, 5716, 945, 1246, 519, 3652, 543, 2628, 585, 741, 3688, 25473, 269, 898, 849, 5222, 3014, 15888, 945, 7048, 593, 6455, 547, 2508, 2104, 3785, 269, 1924, 1247, 4466, 31930, 949, 3280, 13267, 267, 3314, 602, 3025, 19262, 14619, 543, 2463, 267, 2436, 538, 513, 5691, 1158, 610, 519, 1483, 835, 780, 9202, 267, 1577, 781, 1865, 3466, 538, 519, 11080, 2872, 269, 3807, 899, 6752, 610, 2575, 267, 972, 616, 535, 6758, 538, 11080, 1932, 256, 1280, 1383, 267, 1705, 596, 917, 602, 1978, 2010, 540, 3756, 2744, 8560, 3533, 1152, 547, 28201, 2476, 2663, 286, 901, 7613, 1419, 4386, 1813, 547, 4657, 2029, 610, 6345, 7375, 269, 1635, 4974, 3270, 936, 942, 267, 3173, 4126, 547, 3589, 1018, 32266, 1616, 1985, 543, 1711, 1732, 2833, 585, 3025, 780, 7661, 267, 1577, 781, 4983, 875, 3381, 3756, 3310, 2486, 269, 10632, 4001, 3407, 1983, 971, 607, 1966, 6061, 267, 16542, 267, 543, 5876, 269, 24812, 1451, 998, 4693, 543, 5470, 267, 1818, 3664, 602, 1860, 4093, 1369, 519, 3014, 269, 1452, 4245, 666, 14377, 547, 1483, 1272, 3871, 267, 4543, 3214, 1020, 2565, 3206, 5759, 543, 6043, 269, 3958, 267, 2228, 2950, 4646, 1472, 1808, 3756, 6536, 4296, 1063, 2043, 2066, 1114, 10080, 543, 6753, 267, 5009, 4763, 543, 13784, 780, 1103, 3932, 267, 3381, 3756, 616, 1454, 811, 982, 6071, 9913, 282, 789, 2099, 606, 9687, 1106, 540, 1148, 267, 1870, 267, 543, 1514, 5872, 269, 1306, 3743, 3059, 4961, 267, 1620, 519, 10848, 3297, 713, 4241, 5420, 2636, 721, 547, 5660, 922, 1871, 543, 6330, 922, 1761, 25354, 20617, 269, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 3300, 10880, 2518, 18086, 4647, 1863, 31376, 454, 2005, 6140, 4465, 1406, 10131, 693, 3781, 855, 3006, 1282, 519, 1554, 607, 1134, 269, 1548, 1284, 5213, 1406, 281, 15020, 7199, 267, 6552, 26717, 909, 9416, 21646, 269, 7591, 5503, 4855, 856, 1018, 4523, 950, 29871, 779, 2476, 543, 9162, 6430, 547, 723, 930, 1404, 5503, 256, 12846, 729, 1018, 649, 2877, 585, 513, 3781, 1310, 513, 13447, 865, 602, 729, 21453, 585, 721, 269, 2201, 519, 5032, 621, 610, 1801, 873, 22856, 616, 2451, 1586, 1282, 782, 561, 685, 1032, 269, 8241, 2777, 5777, 9782, 9244, 3448, 547, 26038, 543, 10519, 338, 1282, 519, 3735, 521, 543, 2038, 521, 2705, 267, 689, 547, 519, 3902, 547, 4747, 5223, 543, 3902, 547, 10519, 5223, 723, 1312, 7283, 9425, 11931, 267, 609, 2777, 5777, 9477, 4747, 543, 10519, 2208, 1282, 602, 8717, 269, 1656, 789, 786, 18214, 909, 519, 14282, 1843, 267, 899, 713, 16405, 540, 6371, 1934, 269, 1809, 1745, 1863, 1039, 707, 1378, 6436, 827, 891, 2621, 952, 621, 2337, 2626, 513, 2243, 269, 674, 7568, 5069, 729, 513, 7141, 1402, 31561, 689, 2394, 267, 1634, 607, 3627, 5500, 674, 7568, 5069, 269, 4279, 3028, 543, 2731, 7874, 5234, 602, 5749, 1406, 10669, 1506, 267, 799, 568, 513, 2462, 9578, 585, 803, 256, 634, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21581, 10794, 5525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15019, 9177, 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, 0, 4495, 2390, 513, 942, 538, 519, 1507, 4884, 540, 623, 6955, 6807, 267, 3025, 5249, 693, 1079, 2462, 15327, 910, 22500, 995, 2107, 577, 731, 267, 1141, 789, 8057, 8949, 5613, 267, 543, 7822, 881, 667, 6614, 7577, 267, 799, 1500, 4190, 4778, 269, 2353, 519, 3885, 941, 6126, 1317, 789, 1185, 1434, 6009, 543, 2614, 2724, 547, 2661, 20354, 780, 3080, 1554, 267, 1945, 6397, 5949, 269, 589, 1007, 8798, 1572, 7605, 334, 300, 6033, 729, 5189, 267, 2870, 11608, 602, 1223, 4584, 5613, 5488, 982, 3425, 543, 3575, 24470, 9985, 1510, 1022, 9073, 256, 17652, 267, 1312, 15327, 3323, 1210, 891, 3608, 6191, 3079, 540, 1480, 4600, 269, 3509, 1004, 4503, 741, 6009, 543, 6410, 856, 540, 623, 6955, 6807, 547, 1265, 824, 4025, 609, 960, 3255, 780, 288, 2186, 10196, 3957, 3220, 269, 27910, 548, 5030, 538, 623, 6955, 6807, 1932, 269, 2701, 7691, 602, 1200, 12543, 2877, 948, 1620, 1946, 713, 1689, 7018, 865, 1352, 6896, 513, 2146, 5870, 269, 2311, 519, 11018, 267, 3220, 269, 27910, 548, 6045, 875, 2029, 666, 3006, 1291, 547, 12957, 267, 1818, 3157, 18334, 855, 849, 13868, 1978, 6009, 2899, 4371, 676, 3425, 269, 2701, 1767, 267, 834, 1607, 7613, 3884, 1405, 3983, 282, 621, 1175, 1797, 649, 991, 547, 3082, 543, 1451, 1007, 1983, 3010, 7804, 269, 27910, 548, 1287, 4956, 547, 4001, 1863, 8193, 5049, 547, 948, 1200, 2828, 5965, 585, 2104, 6639, 7760, 269, 2060, 1200, 5583, 267, 930, 11570, 1336, 11678, 5883, 1346, 1360, 1482, 11608, 1247, 1866, 2968, 3301, 9367, 8888, 3292, 899, 7605, 334, 300, 6033, 3294, 269, 19759, 569, 267, 1498, 267, 1256, 1310, 782, 1200, 3646, 267, 623, 6955, 6807, 7948, 1405, 22919, 922, 3312, 2551, 1813, 547, 519, 4028, 10593, 4547, 827, 676, 2029, 780, 7437, 713, 1995, 267, 3025, 4121, 3407, 4245, 827, 6043, 267, 9542, 267, 543, 6024, 1565, 269, 1358, 4362, 602, 1247, 2257, 6770, 1082, 13300, 267, 621, 849, 6799, 2591, 8506, 8112, 543, 5647, 269, 1656, 1034, 11932, 267, 789, 6956, 602, 950, 5185, 609, 14488, 267, 1927, 1145, 543, 1702, 666, 17362, 519, 1259, 2509, 17321, 20030, 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, 3674, 972, 513, 18476, 6521, 538, 519, 2816, 2344, 538, 6755, 531, 602, 1223, 723, 8329, 547, 519, 2242, 538, 2551, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 519, 1034, 2487, 7194, 593, 519, 2816, 2344, 538, 6755, 531, 269, 1717, 267, 621, 568, 2009, 602, 2242, 538, 519, 2816, 2344, 267, 971, 607, 519, 19479, 610, 6679, 540, 2101, 12820, 267, 1223, 1764, 519, 2551, 540, 519, 1858, 269, 1403, 972, 568, 1447, 7694, 3255, 267, 1004, 949, 1847, 2476, 538, 3406, 540, 1732, 2816, 16548, 267, 3056, 547, 513, 6175, 538, 2551, 269, 17957, 267, 952, 972, 616, 811, 2816, 3255, 267, 972, 949, 581, 606, 27614, 540, 1004, 3001, 883, 519, 1858, 267, 4611, 538, 606, 2333, 538, 2551, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1015, 269, 9045, 529, 325, 625, 547, 519, 3830, 281, 630, 313, 910, 2473, 264, 2473, 815, 630, 313, 910, 962, 264, 962, 267, 543, 519, 3375, 1341, 2098, 815, 1341, 2473, 1341, 962, 815, 1341, 630, 311, 1341, 962, 1916, 18204, 619, 910, 2098, 2874, 540, 7681, 540, 476, 273, 9981, 910, 2473, 910, 1256, 543, 910, 962, 910, 9642, 267, 543, 25389, 547, 519, 3830, 281, 630, 313, 1341, 2473, 264, 2473, 815, 630, 313, 1341, 962, 264, 962, 267, 543, 519, 3375, 910, 2098, 815, 910, 2473, 910, 962, 815, 910, 630, 311, 1341, 962, 1916, 933, 4024, 2638, 3664, 912, 263, 313, 910, 2473, 264, 2473, 815, 630, 313, 910, 962, 264, 962, 267, 1141, 2098, 815, 1341, 2473, 1341, 962, 267, 22791, 2473, 1341, 962, 910, 2473, 264, 2473, 815, 630, 311, 1341, 962, 25286, 264, 962, 282, 1341, 311, 312, 815, 1341, 311, 312, 563, 263, 313, 1341, 2473, 264, 2473, 815, 630, 313, 1341, 962, 264, 962, 267, 1141, 2098, 815, 910, 2473, 910, 962, 267, 11196, 2473, 910, 962, 1341, 2473, 264, 2473, 815, 11196, 2473, 910, 962, 1341, 962, 264, 962, 267, 910, 2473, 312, 815, 910, 2473, 312, 563, 9288, 753, 267, 1341, 2098, 815, 1341, 2473, 1341, 962, 815, 1341, 476, 1015, 267, 1341, 2098, 815, 1341, 311, 312, 815, 1839, 282, 910, 2098, 815, 910, 2473, 910, 962, 815, 910, 476, 1015, 267, 2098, 815, 2473, 312, 815, 1839, 563, 14707, 1080, 2874, 540, 476, 276, 9642, 543, 476, 276, 9642, 2338, 267, 543, 476, 273, 910, 7857, 2338, 476, 2004, 9642, 543, 476, 2004, 1256, 269, 476, 273, 910, 7857, 2338, 5956, 609, 476, 876, 543, 2501, 547, 606, 1439, 476, 4200, 543, 972, 568, 476, 1015, 628, 3203, 269, 476, 273, 815, 1015, 383, 369, 1015, 543, 547, 2015, 519, 476, 272, 560, 2540, 815, 476, 1911, 1296, 563, 1993, 4518, 540, 2338, 568, 13761, 676, 6498, 912, 263, 313, 910, 2473, 264, 1315, 630, 313, 910, 962, 264, 815, 962, 270, 311, 815, 272, 610, 630, 313, 910, 962, 264, 1315, 630, 313, 910, 2473, 264, 815, 2473, 270, 312, 815, 272, 269, 630, 313, 1341, 2473, 264, 1315, 630, 313, 1341, 962, 264, 815, 962, 270, 311, 815, 272, 610, 630, 313, 1341, 962, 264, 1315, 630, 313, 1341, 2473, 264, 815, 2473, 270, 312, 815, 272, 563, 5804, 891, 519, 3948, 281, 4144, 2684, 656, 639, 3830, 610, 1390, 11532, 540, 674, 12938, 1341, 630, 311, 3203, 269, 562, 1341, 962, 540, 519, 3203, 269, 562, 264, 815, 2098, 560, 269, 562, 568, 519, 3070, 540, 519, 3830, 630, 313, 560, 269, 562, 910, 634, 2473, 3203, 269, 562, 264, 519, 2473, 3203, 269, 562, 815, 630, 313, 540, 519, 3203, 269, 562, 910, 962, 3203, 269, 562, 264, 962, 540, 519, 3203, 269, 562, 267, 543, 910, 630, 763, 2473, 3203, 269, 562, 1341, 962, 540, 519, 3203, 269, 562, 264, 815, 2098, 560, 269, 562, 568, 519, 3070, 540, 519, 3830, 630, 313, 560, 269, 562, 1341, 2473, 3203, 269, 562, 264, 2473, 3203, 269, 562, 815, 630, 313, 540, 519, 3203, 269, 562, 1341, 962, 540, 519, 3203, 269, 562, 264, 962, 540, 519, 3203, 269, 562, 563, 10139, 525, 6715, 619, 998, 1142, 476, 274, 6688, 883, 519, 1739, 1003, 1968, 1062, 269, 3973, 476, 1911, 271, 815, 1015, 560, 269, 476, 274, 972, 616, 13279, 540, 9981, 269, 898, 568, 2312, 267, 602, 689, 891, 476, 4335, 910, 9642, 2338, 267, 543, 476, 4335, 910, 1256, 267, 1287, 519, 4834, 723, 912, 263, 1015, 3203, 269, 476, 274, 333, 1341, 476, 1015, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 562, 815, 630, 1015, 3203, 269, 476, 274, 333, 1341, 1015, 540, 519, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 476, 274, 333, 543, 519, 3375, 2098, 815, 910, 630, 4335, 1535, 476, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 264, 1341, 476, 4335, 1535, 476, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 4297, 815, 910, 476, 1015, 3203, 269, 476, 274, 333, 3248, 263, 1015, 3203, 269, 476, 274, 333, 910, 476, 1015, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 476, 274, 333, 815, 630, 1015, 3203, 269, 476, 274, 333, 910, 476, 1015, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 476, 274, 333, 519, 3375, 2098, 815, 1341, 630, 4335, 383, 369, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 264, 1341, 476, 4335, 16223, 476, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 4297, 815, 1341, 1015, 560, 269, 476, 274, 333, 563, 8170, 476, 1911, 271, 1507, 9838, 7306, 543, 2681, 540, 18695, 666, 1106, 513, 2462, 13306, 568, 6299, 1731, 827, 476, 1015, 269, 898, 568, 2009, 547, 1118, 513, 2462, 13306, 540, 476, 272, 5479, 18695, 568, 6299, 1731, 827, 476, 1911, 271, 563, 13757, 7102, 8870, 540, 562, 281, 910, 562, 543, 1341, 333, 267, 1341, 272, 14672, 543, 910, 476, 272, 14672, 267, 9642, 543, 1256, 912, 268, 630, 333, 1341, 562, 1341, 2560, 1341, 562, 264, 815, 910, 562, 540, 3203, 269, 476, 273, 282, 910, 630, 333, 1535, 562, 1535, 2560, 1535, 562, 264, 815, 910, 562, 540, 519, 3203, 269, 562, 282, 910, 630, 272, 1315, 562, 1341, 476, 272, 14672, 1341, 2560, 1341, 476, 272, 1315, 562, 264, 815, 910, 476, 272, 282, 910, 630, 272, 1315, 562, 1535, 476, 272, 14672, 1535, 2560, 1535, 272, 1315, 562, 264, 815, 910, 3203, 269, 562, 910, 562, 3248, 266, 630, 333, 1341, 562, 1341, 2560, 1341, 562, 264, 815, 1341, 333, 540, 3203, 269, 476, 273, 282, 1341, 630, 333, 1535, 562, 1535, 2560, 1535, 562, 264, 815, 1341, 562, 540, 519, 3203, 269, 562, 282, 1341, 630, 272, 1315, 562, 1341, 2560, 1341, 272, 1315, 562, 264, 815, 1341, 476, 272, 282, 1341, 630, 272, 1315, 562, 1535, 476, 272, 14672, 1535, 2560, 1535, 272, 1315, 562, 264, 815, 1341, 3203, 269, 562, 910, 562, 563, 10831, 476, 1015, 540, 519, 3203, 269, 476, 274, 333, 815, 476, 1015, 3203, 269, 562, 1535, 476, 1015, 853, 269, 562, 1535, 476, 1015, 3203, 269, 562, 267, 1246, 3601, 689, 1934, 912, 266, 630, 1015, 3203, 269, 562, 1341, 476, 1015, 3203, 269, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 562, 264, 815, 1341, 476, 1015, 3203, 269, 476, 273, 333, 282, 1341, 630, 1015, 3203, 269, 562, 1535, 476, 1015, 3203, 269, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 562, 264, 815, 1341, 476, 1015, 3203, 269, 562, 540, 519, 3203, 269, 630, 1015, 3203, 269, 562, 11850, 266, 630, 1015, 3203, 269, 910, 562, 1341, 476, 1015, 3203, 269, 910, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 910, 562, 264, 815, 1341, 476, 272, 282, 1341, 630, 1015, 3203, 269, 910, 562, 1535, 476, 1015, 3203, 269, 910, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 910, 562, 264, 815, 1341, 476, 1015, 3203, 269, 910, 3203, 269, 562, 630, 1015, 3203, 269, 910, 562, 11850, 268, 630, 1015, 3203, 269, 562, 1341, 476, 1015, 3203, 269, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 562, 264, 815, 910, 476, 1015, 3203, 269, 476, 273, 333, 282, 910, 630, 1015, 3203, 269, 562, 1535, 476, 1015, 3203, 269, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 562, 264, 815, 910, 476, 1015, 3203, 269, 562, 540, 519, 3203, 269, 630, 1015, 3203, 269, 562, 11850, 266, 630, 1015, 3203, 269, 910, 562, 1341, 476, 1015, 3203, 269, 910, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 910, 562, 264, 815, 910, 476, 272, 282, 1341, 630, 1015, 3203, 269, 910, 562, 1535, 476, 1015, 3203, 269, 910, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 910, 562, 264, 815, 910, 476, 1015, 3203, 269, 910, 3203, 269, 562, 630, 1015, 3203, 269, 910, 562, 11850, 933, 4024, 2015, 1297, 476, 1015, 540, 519, 3203, 269, 476, 274, 333, 1141, 562, 815, 476, 278, 267, 476, 1015, 3203, 269, 476, 274, 333, 815, 476, 1015, 3203, 269, 476, 2641, 815, 1015, 560, 269, 476, 278, 1535, 476, 1015, 3203, 269, 476, 278, 1535, 476, 1015, 540, 3203, 269, 476, 278, 269, 898, 568, 6299, 1731, 827, 476, 1911, 1822, 876, 815, 476, 1015, 560, 278, 284, 1015, 6634, 267, 5161, 689, 476, 272, 572, 330, 560, 11669, 990, 18695, 269, 1403, 547, 1118, 24905, 1782, 540, 513, 6299, 1731, 543, 547, 2322, 18695, 1510, 11996, 538, 835, 4737, 610, 693, 1142, 824, 267, 1287, 649, 786, 4309, 8880, 610, 7299, 4773, 540, 3259, 476, 272, 572, 330, 560, 11669, 990, 269, 2311, 519, 1482, 942, 1142, 13306, 814, 513, 3009, 910, 1297, 476, 2641, 910, 519, 7857, 1297, 568, 689, 476, 2641, 4642, 547, 476, 2641, 8370, 269, 2060, 1297, 910, 476, 1015, 3203, 269, 476, 278, 649, 12446, 607, 1657, 269, 3767, 4470, 593, 519, 13306, 6316, 2450, 267, 649, 786, 4309, 912, 1993, 3687, 281, 476, 272, 544, 815, 476, 1015, 3203, 269, 476, 274, 540, 6515, 815, 476, 1015, 560, 277, 7790, 305, 815, 1015, 560, 269, 476, 280, 24519, 815, 1015, 560, 269, 476, 1321, 335, 27323, 815, 1015, 560, 269, 476, 1428, 3185, 1729, 815, 1015, 560, 269, 476, 1240, 582, 1729, 815, 1015, 560, 269, 476, 2641, 8117, 1729, 563, 1993, 7665, 281, 476, 272, 5998, 815, 1015, 560, 269, 476, 274, 544, 282, 476, 272, 8020, 6425, 815, 1015, 560, 269, 476, 277, 544, 282, 476, 272, 326, 332, 815, 1015, 560, 269, 476, 280, 544, 282, 476, 272, 339, 332, 815, 1015, 560, 269, 476, 1321, 544, 282, 476, 272, 10975, 815, 1015, 560, 269, 476, 1428, 544, 282, 476, 272, 655, 815, 1015, 560, 269, 476, 1240, 544, 282, 476, 272, 715, 815, 1015, 560, 269, 476, 2641, 454, 14611, 21635, 281, 519, 11281, 267, 11304, 267, 4110, 267, 31632, 267, 2600, 267, 5662, 454, 10376, 8870, 568, 476, 272, 630, 22780, 1040, 2913, 26141, 2015, 519, 18304, 543, 1568, 540, 4559, 912, 273, 266, 273, 815, 275, 282, 476, 1556, 383, 369, 1556, 284, 13199, 282, 476, 4905, 266, 1015, 815, 282, 282, 282, 282, 476, 274, 266, 273, 284, 276, 282, 476, 9340, 554, 1556, 284, 14338, 272, 282, 476, 18733, 383, 369, 1015, 284, 18733, 271, 282, 476, 274, 266, 274, 284, 277, 282, 476, 9340, 383, 369, 9340, 284, 11277, 2641, 281, 476, 18733, 383, 369, 8099, 815, 282, 282, 282, 282, 282, 3248, 275, 1341, 274, 815, 278, 282, 476, 9340, 272, 383, 369, 9340, 815, 282, 282, 282, 282, 282, 282, 282, 476, 18733, 272, 383, 369, 8099, 815, 476, 23713, 13975, 282, 476, 275, 266, 275, 284, 279, 282, 476, 9340, 272, 266, 9340, 272, 284, 11277, 28242, 272, 282, 476, 18733, 272, 16223, 476, 9340, 271, 284, 23713, 25834, 271, 282, 476, 276, 1341, 476, 275, 815, 476, 280, 3248, 9340, 1556, 383, 369, 9340, 272, 284, 11277, 4510, 274, 2641, 282, 476, 18733, 1556, 1535, 476, 9340, 271, 815, 23713, 30306, 25834, 271, 282, 476, 276, 266, 276, 284, 1015, 282, 476, 9340, 1556, 1535, 476, 9340, 1556, 815, 11277, 3393, 275, 25834, 282, 476, 18733, 1556, 1535, 476, 9340, 1015, 815, 476, 23713, 29340, 13975, 282, 476, 277, 266, 276, 284, 272, 281, 476, 9340, 9340, 383, 369, 9340, 1556, 284, 11277, 3393, 276, 28242, 272, 282, 476, 18733, 9340, 266, 9340, 1015, 284, 23713, 30306, 25834, 271, 282, 563, 280, 266, 280, 284, 1240, 282, 476, 280, 343, 280, 284, 10037, 267, 476, 9340, 9340, 9340, 343, 9340, 9340, 9340, 284, 11277, 27174, 4281, 280, 9262, 277, 276, 6246, 2641, 282, 476, 272, 266, 273, 266, 274, 266, 275, 266, 276, 266, 277, 266, 278, 266, 279, 266, 280, 266, 279, 266, 278, 266, 277, 266, 276, 266, 275, 266, 274, 266, 273, 266, 272, 284, 10037, 454, 1015, 266, 280, 284, 866, 282, 476, 1015, 343, 280, 284, 3445, 476, 9340, 9340, 9340, 272, 343, 9340, 9340, 9340, 815, 476, 11277, 27174, 4281, 280, 7176, 278, 4792, 275, 25834, 2040, 540, 891, 5515, 616, 476, 3445, 563, 1015, 1341, 1015, 815, 736, 282, 476, 1015, 383, 369, 1015, 284, 1911, 267, 476, 18733, 9340, 9340, 272, 1535, 476, 9340 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1100, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 4000, 1315, 3345, 1315, 25448, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 17345, 5149, 281, 4197, 19097, 1143, 538, 8567, 692, 9213, 267, 649, 616, 2469, 547, 4685, 883, 835, 540, 519, 1034, 1271, 2853, 538, 8567, 910, 29080, 269, 1411, 1522, 723, 4862, 827, 621, 1282, 707, 11564, 547, 5939, 610, 538, 7391, 609, 2828, 269, 2913, 781, 2263, 922, 4644, 1927, 2439, 5331, 1373, 851, 540, 513, 2462, 267, 7772, 995, 11812, 1141, 3025, 568, 9599, 543, 28292, 269, 3767, 4605, 3054, 3478, 546, 6064, 539, 538, 1216, 610, 2348, 1216, 23953, 936, 707, 2212, 269, 5213, 1405, 5855, 1107, 713, 3884, 1406, 513, 10751, 855, 513, 2027, 3909, 9161, 1572, 29080, 256, 901, 957, 23327, 4358, 513, 1007, 1272, 4448, 547, 2696, 543, 1010, 10752, 998, 4906, 2441, 780, 289, 2194, 1143, 814, 1044, 13736, 2094, 519, 2038, 2395, 540, 8567, 269, 1879, 2576, 16976, 789, 1616, 547, 1246, 4906, 543, 1831, 513, 4168, 267, 789, 2356, 1205, 19071, 1242, 269, 1809, 1018, 1281, 621, 782, 1611, 2496, 265, 634, 12791, 19992, 19097, 1143, 912, 1103, 29080, 267, 1216, 4564, 26349, 543, 22729, 269, 1635, 10283, 538, 713, 9161, 267, 10271, 6542, 602, 789, 3398, 4906, 607, 741, 5260, 1640, 543, 9153, 547, 2661, 2687, 547, 1010, 10752, 269, 1358, 849, 1397, 789, 616, 4712, 547, 4734, 3297, 2025, 6208, 610, 9073, 543, 1376, 4195, 609, 513, 2973, 1793, 622, 780, 265, 7756, 18467, 547, 5192, 19097, 1242, 912, 2467, 616, 1079, 1292, 2081, 1004, 1205, 19071, 1242, 281, 21599, 543, 3413, 4288, 269, 8056, 619, 542, 3322, 1373, 4628, 24760, 538, 1216, 267, 1247, 3413, 4288, 2882, 26311, 610, 20057, 1782, 1216, 936, 519, 1268, 781, 2212, 269, 5637, 2409, 3180, 519, 1482, 2495, 543, 2956, 282, 621, 1175, 5673, 593, 2123, 13283, 610, 2245, 780, 265, 5808, 2052, 2142, 19097, 1242, 286, 912, 12179, 821, 945, 11099, 538, 4906, 543, 6499, 547, 3479, 2933, 547, 1739, 1010, 10752, 666, 581, 19071, 1242, 269, 3509, 13039, 2259, 10867, 29080, 267, 799, 1797, 9002, 616, 19071, 1242, 16172, 1310, 4332, 269, 14268, 543, 5601, 18499, 1118, 14767, 593, 15773, 540, 12256, 1317, 789, 5749, 1405, 2943, 2111, 547, 1174, 891, 19647, 269, 1306, 1453, 1332, 4587, 267, 789, 6166, 891, 14767, 1500, 585, 873, 1282, 513, 16008, 1634, 607, 21533, 780, 265, 13507, 545, 30123, 999, 4438, 19097, 1143, 912, 7628, 19071, 3359, 267, 972, 616, 1896, 6209, 17267, 543, 3615, 1031, 912, 567, 1341, 10513, 4826, 281, 7981, 1216, 1419, 25552, 676, 513, 17308, 610, 14012, 568, 4122, 1031, 585, 19071, 3359, 563, 567, 1341, 9061, 6178, 532, 281, 589, 3444, 568, 14360, 593, 519, 30432, 1210, 3282, 610, 1216, 607, 513, 12576, 540, 10362, 547, 2441, 563, 567, 1341, 15443, 956, 281, 22175, 22250, 2099, 519, 1769, 540, 4906, 13057, 519, 9241, 19071, 1242, 2429, 741, 5289, 3460, 780, 3086, 602, 596, 917, 811, 827, 29080, 538, 8567, 267, 1589, 827, 875, 5863, 621, 568, 602, 1004, 1472, 519, 1158, 8661, 741, 5132, 538, 2147, 2081, 256, 5272, 942, 596, 1294, 1216, 13576, 11884, 267, 4952, 1866, 8508, 741, 4276, 547, 2696, 998, 29080, 269, 5457, 267, 1169, 6749, 11438, 513, 3532, 5048, 540, 2648, 267, 4126, 267, 543, 7029, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 347, 8512, 540, 513, 3126, 593, 2008, 347, 8512, 540, 513, 3126, 593, 2008, 347, 14532, 540, 10764, 2008, 763, 1686, 540, 8567, 4145, 519, 4168, 4984, 267, 4168, 2477, 267, 543, 519, 10271, 609, 741, 1585, 29559, 267, 689, 519, 476, 272, 560, 2540, 547, 519, 1459, 269, 8567, 12090, 609, 519, 18591, 540, 4906, 267, 513, 6014, 4116, 543, 12115, 518, 945, 29064, 519, 31873, 8003, 540, 2696, 543, 729, 16961, 1881, 524, 269, 5084, 476, 1789, 1700, 3451, 538, 13243, 538, 519, 4936, 11662, 540, 7225, 20660, 269, 3571, 13794, 3494, 602, 267, 2687, 547, 519, 717, 28145, 267, 646, 729, 519, 12312, 540, 2696, 543, 602, 646, 5747, 585, 519, 19807, 540, 21359, 543, 729, 6659, 689, 519, 4666, 543, 608, 531, 1540, 676, 2696, 267, 543, 786, 2132, 4166, 693, 519, 27299, 540, 2696, 781, 10806, 563, 763, 9998, 13794, 540, 4906, 941, 3284, 32565, 6014, 10271, 269, 8567, 7283, 513, 6014, 3392, 585, 5553, 267, 11651, 3101, 7930, 689, 17194, 936, 11705, 337, 1400, 267, 1514, 543, 3140, 3604, 269, 8567, 3262, 607, 513, 29065, 3350, 602, 2968, 3964, 676, 519, 3791, 2540, 269, 634, 4936, 14890, 4790, 14932, 594, 2968, 519, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 4168, 681, 3770, 338, 1299, 6657, 1315, 15762, 571, 906, 1315, 19097, 1143, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5149, 476, 1015, 281, 29725, 6883, 6778, 18741, 27332, 329, 16619, 3842, 519, 8230, 12505, 27953, 692, 7072, 912, 300, 870, 18741, 27332, 329, 16619, 267, 4092, 538, 25157, 855, 536, 867, 1359, 15057, 267, 568, 519, 5207, 8445, 538, 4000, 543, 519, 32399, 1954, 652, 21505, 7823, 538, 519, 1158, 269, 4706, 1614, 15027, 25862, 910, 918, 756, 334, 267, 631, 1177, 523, 17844, 267, 543, 1744, 4275, 910, 1118, 621, 513, 2442, 10278, 585, 7823, 32580, 543, 7045, 3464, 7567, 269, 4014, 1034, 6172, 1499, 1935, 18741, 27332, 329, 16619, 689, 519, 23261, 534, 1014, 2427, 267, 972, 568, 849, 513, 29271, 8905, 4358, 538, 15057, 602, 3091, 2189, 2686, 2833, 543, 3309, 8916, 269, 901, 1770, 786, 5490, 883, 519, 2591, 267, 12587, 267, 543, 4052, 3344, 540, 16246, 6778, 18741, 27332, 329, 16619, 998, 519, 8230, 12505, 8905, 780, 4089, 476, 272, 281, 8466, 17461, 543, 19043, 692, 763, 1686, 540, 6778, 18741, 27332, 329, 16619, 7389, 1394, 6634, 540, 1296, 950, 922, 5250, 3459, 1813, 547, 29684, 6676, 5322, 2059, 519, 4279, 681, 3424, 9503, 269, 634, 1101, 3811, 21895, 729, 6913, 676, 17713, 2725, 9807, 543, 32400, 8830, 1206, 23025, 518, 538, 476, 6642, 280, 267, 6679, 909, 3255, 585, 3621, 1382, 543, 9235, 269, 4653, 267, 18741, 27332, 329, 16619, 6585, 1390, 4644, 585, 1312, 2199, 2950, 543, 2518, 8436, 269, 1280, 8575, 553, 2967, 11031, 2713, 2282, 519, 7823, 781, 9087, 1054, 1571, 267, 18741, 27332, 329, 16619, 4564, 741, 18577, 1753, 543, 10723, 21056, 269, 11531, 267, 3486, 14666, 26600, 547, 1995, 519, 18198, 5784, 543, 2168, 4161, 6035, 676, 713, 23836, 8445, 780, 4089, 476, 273, 281, 19805, 519, 9406, 27953, 281, 8230, 12505, 5288, 269, 23261, 534, 1014, 22604, 692, 4407, 1896, 11507, 1291, 547, 772, 327, 15843, 30078, 630, 298, 559, 27332, 329, 16619, 781, 5207, 1448, 1070, 1152, 1079, 1376, 689, 15057, 281, 519, 9370, 629, 527, 543, 631, 4861, 14505, 19235, 269, 22702, 547, 519, 8185, 911, 742, 17673, 3057, 1481, 9497, 290, 10087, 2051, 320, 8442, 543, 7557, 877, 9497, 2662, 529, 4486, 8442, 18162, 23608, 538, 25157, 267, 891, 8230, 12505, 10092, 2709, 694, 2424, 543, 26080, 21599, 883, 519, 3148, 781, 3638, 9265, 269, 5637, 3681, 2154, 554, 1731, 619, 547, 3444, 3084, 10665, 267, 4946, 6106, 540, 17825, 543, 29904, 6483, 269, 1717, 267, 789, 1683, 2899, 2987, 8584, 2000, 604, 8135, 8458, 547, 4497, 609, 6917, 8230, 12505, 2528, 1247, 21986, 532, 18932, 7733, 267, 544, 3233, 4133, 267, 620, 18090, 24301, 267, 543, 22260, 780, 4089, 476, 274, 281, 19369, 543, 9751, 692, 290, 3916, 6883, 6778, 18741, 27332, 329, 16619, 13514, 1713, 2168, 543, 2790, 2591, 267, 8506, 9488, 7041, 543, 2866, 269, 16816, 3363, 19210, 3788, 513, 2101, 6161, 267, 607, 3046, 6248, 2604, 12772, 13497, 1282, 607, 1417, 269, 7743, 1035, 743, 574, 26494, 2994, 971, 607, 16795, 15038, 2744, 267, 20697, 267, 6484, 267, 543, 7850, 1964, 1831, 1898, 3334, 540, 1967, 269, 5047, 267, 13215, 2596, 2930, 1983, 899, 4672, 4949, 324, 10654, 543, 16081, 335, 517, 6165, 10597, 3106, 2429, 1164, 268, 5306, 3363, 6810, 269, 24524, 2157, 1058, 23679, 7854, 9025, 16608, 267, 4222, 267, 3666, 267, 8112, 267, 543, 22231, 780, 4089, 476, 275, 281, 19484, 8836, 7402, 12420, 543, 7025, 26930, 692, 11328, 716, 532, 609, 6805, 5095, 3029, 606, 7533, 851, 540, 1022, 8230, 12505, 18741, 27332, 329, 16619, 16939, 269, 4197, 2199, 9821, 267, 4654, 267, 543, 24454, 11942, 16614, 3347, 543, 24024, 1761, 21390, 269, 3958, 267, 8026, 834, 548, 1511, 1100, 10250, 257, 3741, 14014, 17866, 8134, 1996, 12159, 3361, 676, 2527, 9235, 269, 1635, 20170, 547, 7453, 3653, 12871, 4808, 543, 8497, 2067, 2200, 267, 31939, 24329, 3565, 9797, 547, 4264, 1646, 3646, 2066, 5101, 4000, 780, 4089, 476, 276, 281, 7351, 12367, 543, 8892, 20480, 692, 1103, 2487, 1296, 267, 2916, 1689, 814, 4299, 18741, 27332, 329, 16619, 781, 30961, 1949, 267, 9870, 4145, 827, 1279, 3856, 10333, 543, 2825, 6940, 269, 1306, 5210, 3136, 8375, 267, 3744, 3589, 2417, 18956, 540, 4672, 11503, 267, 5732, 18363, 1216, 8244, 19654, 269, 9182, 267, 8639, 1590, 12840, 5702, 547, 2232, 10296, 5726, 2152, 543, 2327, 2104, 5481, 666, 2972, 713, 7415, 20648, 2622, 11595, 13505, 780, 6962, 1384, 21615, 1046, 532, 593, 513, 3460, 909, 6778, 18741, 27332, 329, 16619, 3842, 519, 8230, 12505, 8905, 14767, 7045, 267, 2123, 2208, 267, 543, 7096, 4296, 609, 2470, 543, 8103, 269, 3414, 30190, 4058, 267, 3743, 3375, 6194, 267, 543, 7071, 585, 6237, 4763, 267, 1169, 31939, 12027, 8309, 547, 519, 5571, 9371, 540, 3408, 543, 19642, 4478, 4000, 781, 11599, 31241, 641, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 9509, 898, 10719, 776, 454, 268, 17421, 20155, 454, 268, 13488, 19672, 454, 268, 25676, 18614, 454, 268, 5700, 6969, 1411, 3619, 454, 268, 4033, 10222, 1186, 1411, 2904, 6145, 454, 18794, 7849, 626, 4260, 7958, 685, 8227, 623, 1122, 2806, 321, 2714, 267, 593, 713, 25157, 7320, 1760, 926, 547, 1294, 519, 26672, 528, 540, 5101, 3979, 5017, 7258, 11599, 2831, 899, 18479, 11244, 267, 8187, 324, 2041, 652, 267, 5871, 14858, 3630, 267, 30159, 267, 6764, 8403, 267, 30657, 16279, 267, 19134, 324, 2041, 652, 267, 661, 1633, 267, 23193, 267, 4258, 29609, 267, 2274, 16985, 267, 20128, 1540, 5754, 6511, 267, 966, 2925, 339, 3933, 4486, 267, 9040, 3019, 267, 543, 865, 1082, 811, 269, 13488, 693, 8445, 942, 281, 8187, 324, 2041, 652, 616, 1608, 1324, 543, 519, 4205, 1063, 23246, 543, 10352, 616, 7920, 563, 2171, 2253, 538, 1488, 2313, 320, 267, 4553, 676, 942, 693, 1488, 2313, 320, 543, 8235, 3509, 4673, 2817, 20088, 267, 1287, 2947, 17334, 693, 6899, 1760, 926, 13122, 865, 2673, 547, 519, 2962, 269, 10812, 693, 6196, 1575, 2967, 717, 5282, 543, 519, 7320, 5230, 31436, 528, 784, 19660, 9197, 831, 269, 7053, 7198, 519, 26672, 528, 540, 20579, 836, 790, 2817, 5244, 267, 829, 3481, 593, 513, 9030, 9194, 23725, 528, 883, 519, 590, 699, 978, 564, 328, 282, 713, 568, 1018, 7320, 32026, 616, 1500, 540, 563, 9961, 938, 3408, 267, 1451, 827, 519, 4279, 681, 3424, 9503, 543, 519, 2898, 1858, 779, 3673, 514, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 4000, 1315, 5101, 1315, 15057, 1315, 29725, 6883, 6778, 18741, 27332, 329, 16619, 689, 15057, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 274, 454, 303, 523, 7345, 15815, 582, 281, 898, 779, 513, 2245, 602, 3459, 593, 5412, 476, 1839, 267, 476, 4572, 280, 267, 950, 12650, 269, 5261, 654, 4532, 777, 1177, 540, 14886, 1222, 1496, 300, 12578, 316, 16041, 1010, 7077, 609, 513, 18797, 15004, 5627, 14786, 267, 17476, 267, 6995, 267, 17711, 543, 824, 968, 529, 1633, 12743, 3753, 892, 543, 24363, 547, 519, 561, 12915, 11817, 1472, 519, 9412, 1633, 1858, 543, 12628, 519, 16434, 13344, 547, 519, 561, 30224, 3885, 269, 4340, 547, 519, 1686, 540, 519, 14886, 540, 674, 2391, 13244, 267, 621, 729, 654, 4532, 777, 1177, 779, 1259, 540, 6031, 7064, 585, 5329, 519, 8279, 1396, 865, 646, 1223, 1265, 1010, 1259, 998, 519, 22839, 593, 20893, 4445, 267, 28067, 32734, 1430, 2395, 563, 2108, 17504, 3357, 1394, 547, 1864, 538, 519, 2395, 602, 4553, 602, 1010, 13344, 540, 8285, 17869, 941, 5393, 1134, 4607, 269, 634, 1832, 619, 543, 741, 3885, 941, 20109, 547, 581, 15422, 593, 713, 2027, 9702, 269, 589, 2241, 23972, 540, 7064, 1185, 1500, 519, 1554, 865, 1454, 811, 2027, 585, 519, 7264, 540, 891, 9678, 856, 14006, 338, 269, 654, 4532, 777, 1177, 3533, 7691, 602, 713, 24204, 2280, 728, 8184, 964, 5703, 547, 581, 7368, 607, 1134, 607, 9450, 547, 1331, 811, 540, 519, 561, 30224, 3885, 543, 11076, 15050, 10473, 2059, 519, 5032, 2223, 2687, 547, 519, 14886, 563, 5649, 811, 827, 519, 1686, 540, 519, 674, 2391, 13244, 269, 0, 310, 12239, 15829, 11902, 312, 4953, 15288, 267, 1473, 269, 2443, 16581, 12555, 568, 606, 1271, 2259, 585, 24569, 1426, 2504, 538, 1082, 4525, 540, 519, 1158, 269, 14755, 5355, 6694, 11729, 267, 12555, 849, 5540, 2916, 2175, 267, 3335, 16715, 2244, 2627, 5210, 538, 513, 2361, 543, 519, 4478, 2127, 269, 1809, 513, 1007, 1353, 2982, 602, 538, 930, 2694, 540, 519, 1158, 267, 12555, 4679, 5848, 3002, 2566, 267, 8380, 6634, 540, 1004, 2713, 538, 835, 540, 519, 1034, 29822, 20651, 4525, 538, 519, 1158, 693, 1981, 540, 8801, 1072, 5222, 563, 288, 1007, 1353, 3370, 2221, 538, 519, 4760, 7186, 2983, 657, 7220, 6920, 602, 5756, 540, 14021, 12555, 538, 3127, 779, 21475, 8566, 836, 2045, 30577, 723, 4389, 3328, 3232, 5210, 543, 22485, 519, 5506, 540, 3665, 3002, 2175, 538, 519, 3148, 267, 3927, 14927, 2287, 519, 1764, 540, 519, 2518, 8337, 602, 814, 1044, 4767, 538, 1875, 268, 597, 3419, 730, 2694, 540, 519, 2197, 563, 309, 2711, 631, 880, 571, 267, 7548, 540, 3540, 4702, 543, 3618, 9443, 693, 519, 4095, 4659, 540, 5303, 543, 1291, 2278, 540, 519, 1353, 267, 1767, 968, 296, 337, 3419, 566, 814, 14831, 3585, 5280, 3127, 779, 3646, 547, 3035, 1426, 3354, 267, 855, 621, 814, 849, 3366, 547, 4028, 15780, 22930, 543, 824, 2942, 2825, 4539, 269, 5015, 267, 938, 2079, 2982, 602, 1247, 14021, 12555, 1281, 2539, 6237, 5210, 267, 621, 814, 3648, 2799, 3002, 2566, 267, 7133, 6634, 540, 1004, 2713, 538, 835, 540, 519, 1034, 29822, 20651, 4525, 538, 519, 1158, 3034, 1103, 1840, 547, 513, 9023, 1198, 267, 519, 3173, 1265, 602, 12555, 4679, 2282, 1606, 16577, 11195, 267, 799, 2164, 538, 513, 10565, 2333, 538, 5848, 3002, 2566, 269, 901, 4365, 3575, 267, 519, 4999, 540, 1164, 3002, 543, 1164, 11195, 267, 814, 513, 2178, 1198, 593, 1480, 1072, 269, 4400, 11195, 2306, 621, 811, 2352, 585, 519, 1480, 1560, 547, 8774, 3002, 998, 519, 21381, 540, 17570, 267, 1818, 5848, 3002, 811, 5906, 982, 3819, 3002, 563, 6097, 547, 519, 1353, 267, 3002, 2566, 20327, 538, 3127, 543, 824, 4525, 13856, 676, 5033, 3511, 573, 543, 30734, 16374, 602, 798, 711, 1331, 519, 1909, 540, 12555, 1223, 581, 19765, 26305, 1271, 1072, 4220, 269, 4014, 713, 1353, 5059, 593, 6694, 12555, 267, 519, 4681, 723, 1463, 6286, 585, 519, 4080, 2640, 540, 3039, 5989, 1031, 547, 11574, 3002, 543, 4683, 3002, 6532, 2360, 267, 2523, 607, 2518, 5210, 3136, 547, 4473, 563, 2108, 2026, 649, 782, 723, 4810, 267, 950, 621, 2501, 547, 4743, 3905, 267, 621, 779, 711, 1175, 519, 3002, 267, 621, 779, 519, 11195, 269, 769, 713, 2013, 649, 1336, 602, 896, 930, 3871, 538, 519, 2104, 538, 3127, 267, 519, 1158, 779, 1034, 29245, 9111, 267, 12555, 543, 519, 2404, 18519, 2305, 540, 519, 2011, 1118, 2175, 1745, 8338, 2223, 1767, 15623, 13535, 828, 267, 1071, 27236, 540, 519, 1957, 543, 8830, 16746, 7548, 540, 3618, 267, 11626, 543, 19236, 9443, 269, 968, 5978, 2164, 1397, 602, 713, 2241, 1249, 1590, 581, 2016, 3978, 7156, 950, 4946, 1216, 547, 519, 2011, 3842, 21381, 538, 513, 3905, 3148, 2436, 998, 12555, 610, 1256, 2048, 13582, 22908, 685, 2443, 786, 713, 2569, 610, 2333, 3002, 2566, 18313, 27770, 626, 3002, 2566, 26037, 538, 3127, 8476, 676, 12555, 454, 309, 2711, 631, 880, 571, 267, 1323, 4157, 21983, 25421, 333, 1678, 583, 1399, 19264, 11986, 267, 13019, 6702, 1306, 24499, 267, 7203, 534, 589, 611, 9618, 267, 22189, 11370, 345, 534, 267, 30323, 7236, 27958, 267, 543, 15623, 13535, 828, 454, 4504, 2400, 12555, 538, 3127, 814, 1044, 7152, 547, 6175, 2627, 2837, 267, 855, 519, 3310, 540, 12555, 593, 11195, 543, 3665, 5848, 3002, 2566, 568, 711, 1134, 6956, 269, 3371, 649, 21845, 513, 4999, 540, 538, 2198, 543, 9682, 2861, 14449, 543, 5342, 14368, 1670, 2203, 13502, 547, 1397, 602, 12555, 1110, 12885, 3665, 5848, 3002, 269, 1284, 1336, 602, 14021, 12555, 538, 519, 3148, 3579, 338, 519, 2244, 2627, 676, 476, 272, 11019, 290, 543, 519, 2011, 676, 476, 271, 269, 276, 11019, 290, 269, 1717, 267, 519, 8519, 24534, 3002, 13441, 1813, 547, 12555, 6971, 519, 19236, 10465, 4494, 4463, 267, 799, 4679, 1970, 7400, 5848, 6678, 531, 6853, 269, 4935, 267, 12555, 4679, 519, 1808, 543, 3448, 11195, 267, 799, 12651, 519, 5848, 3002, 2566, 14573, 269, 2271, 1619, 12555, 936, 519, 3148, 2164, 538, 2799, 5848, 3002, 2566, 538, 3127, 267, 9031, 267, 543, 2694, 540, 15787, 12544, 977, 532, 827, 476, 4391, 1700, 5379, 2929, 1004, 538, 3162, 5607, 1765, 9188, 3145, 513, 16830, 2244, 2627, 269, 1284, 2303, 602, 3002, 2566, 20327, 538, 3127, 543, 824, 4525, 13856, 676, 10859, 268, 541, 573, 543, 30734, 16374, 602, 798, 711, 1331, 519, 1909, 540, 12555, 21467, 560, 1493, 519, 2640, 540, 12555, 593, 3819, 3002, 2566, 543, 30391, 519, 4220, 269, 0, 292, 272, 322, 289, 7271, 630, 292, 268, 601, 574, 1588, 267, 476, 272, 322, 289, 23867, 1931, 609, 2463, 547, 31669, 3490, 264, 568, 835, 540, 519, 1614, 12145, 6127, 540, 476, 272, 267, 273, 268, 601, 574, 1588, 269, 898, 568, 513, 1079, 9912, 269, 634, 661, 272, 322, 321, 11115, 1143, 269, 26332, 1588, 6547, 649, 723, 5941, 4125, 519, 2530, 540, 513, 23442, 543, 513, 6028, 1895, 689, 11105, 269, 630, 17771, 1400, 264, 16087, 976, 269, 1879, 519, 1079, 269, 661, 272, 322, 321, 7271, 281, 1323, 17594, 5114, 7271, 10023, 1286, 3316, 542, 5250, 4553, 538, 519, 1985, 1900, 676, 1163, 13955, 540, 513, 6028, 1895, 593, 513, 12498, 3327, 563, 347, 13775, 630, 8310, 2567, 1475, 272, 2904, 476, 1001, 274, 2008, 347, 14457, 11711, 12025, 10573, 272, 269, 9834, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 1240, 269, 10436, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 1607, 1287, 3587, 519, 1034, 7123, 1587, 1813, 547, 5409, 935, 24503, 566, 267, 543, 568, 849, 811, 1455, 982, 519, 5634, 1587, 269, 769, 519, 661, 272, 540, 512, 910, 8117, 2643, 28538, 728, 267, 519, 595, 5174, 337, 6125, 9397, 1101, 547, 4734, 513, 24596, 16087, 6327, 269, 634, 3152, 519, 6617, 540, 713, 5912, 1533, 267, 519, 811, 519, 7271, 786, 3870, 606, 661, 272, 322, 289, 7271, 269, 678, 272, 322, 321, 454, 763, 524, 566, 949, 6125, 547, 513, 7576, 2684, 850, 547, 2285, 513, 18839, 1587, 269, 634, 661, 272, 322, 289, 1383, 7151, 661, 272, 322, 6277, 1739, 3349, 26564, 519, 1883, 3604, 1063, 519, 1614, 17594, 6547, 282, 1199, 7315, 1143, 267, 519, 1655, 1259, 547, 2697, 799, 7271, 568, 4730, 513, 1883, 1909, 538, 513, 1880, 5114, 3322, 519, 3498, 540, 3114, 737, 27282, 269, 901, 5114, 568, 1031, 2663, 538, 513, 5114, 1572, 606, 620, 323, 565, 28198, 563, 14303, 7205, 689, 9232, 4179, 281, 661, 272, 6763, 585, 796, 574, 12817, 17594, 267, 543, 661, 273, 6763, 585, 536, 574, 12817, 17594, 269, 6178, 909, 1210, 9365, 563, 3080, 1373, 519, 5250, 540, 513, 16087, 6327, 13591, 269, 6333, 519, 1739, 7271, 281, 15580, 3830, 15580, 1673, 9057, 1456, 1900, 269, 634, 679, 25544, 568, 519, 803, 1013, 1143, 7123, 31669, 3490, 540, 519, 4358, 1570, 267, 543, 568, 835, 540, 519, 10827, 919, 538, 519, 5114, 269, 2368, 1806, 540, 7135, 602, 2270, 4057, 6028, 2516, 543, 666, 10929, 519, 661, 272, 322, 289, 7271, 616, 4568, 338, 543, 14806, 334, 1779, 6951, 563, 763, 2470, 540, 519, 10300, 4094, 2655, 15856, 550, 593, 519, 12659, 2643, 10300, 728, 568, 2356, 711, 1360, 1713, 952, 621, 568, 1849, 267, 5696, 610, 594, 269, 634, 1034, 1134, 1634, 5114, 602, 25457, 661, 272, 322, 289, 17594, 568, 519, 620, 323, 565, 28198, 5114, 896, 2596, 2175, 269, 12476, 2275, 520, 3315, 7458, 17594, 4386, 609, 8022, 269, 5082, 5268, 32281, 1840, 715, 16197, 30858, 1840, 5131, 268, 2784, 673, 1840, 20676, 1933, 1288, 563, 763, 661, 272, 322, 289, 17594, 5114, 568, 513, 1826, 540, 17594, 5114, 799, 4386, 896, 2596, 2175, 267, 1141, 513, 3226, 4057, 6028, 1895, 971, 607, 910, 15121, 610, 910, 3036, 543, 606, 15755, 7250, 9004, 547, 1106, 606, 3606, 6125, 269, 1546, 17458, 1756, 5385, 543, 513, 632, 17458, 1756, 15452, 24236, 1198, 666, 948, 10646, 1851, 661, 272, 322, 289, 2847, 292, 272, 322, 289, 606, 542, 663, 661, 272, 322, 289, 3352, 337, 269, 1306, 513, 1267, 267, 519, 661, 272, 322, 289, 7271, 666, 581, 7745, 1524, 883, 1614, 6688, 281, 26332, 1588, 4016, 547, 519, 1249, 602, 519, 7271, 568, 606, 17594, 5114, 543, 786, 6336, 1079, 2655, 15856, 757, 563, 10387, 841, 22490, 267, 855, 2760, 3254, 269, 634, 661, 272, 322, 289, 31472, 4014, 661, 272, 6547, 3335, 3322, 513, 16087, 6327, 13591, 267, 519, 661, 272, 322, 289, 2746, 7765, 18252, 513, 1286, 3316, 542, 13591, 269, 2725, 577, 2335, 1143, 1883, 3017, 1063, 519, 661, 273, 5288, 661, 272, 322, 321, 11444, 568, 513, 3982, 1286, 3316, 542, 13591, 607, 10353, 547, 835, 13447, 539, 7271, 563, 2304, 1383, 540, 519, 661, 272, 322, 289, 5114, 7271, 538, 519, 12159, 540, 513, 8280, 13519, 13926, 896, 2596, 2175, 269, 667, 18341, 566, 803, 1097, 22675, 2802, 1470, 325, 523, 8364, 321, 20515, 519, 4527, 540, 513, 7123, 606, 542, 1813, 547, 16982, 1063, 519, 993, 728, 6198, 1895, 543, 519, 3327, 2643, 1895, 269, 901, 2164, 538, 519, 5250, 540, 513, 16087, 6327, 13591, 563, 292, 272, 322, 289, 11115, 1143, 1923, 32726, 1335, 21595, 454, 1607, 568, 1813, 547, 519, 1249, 602, 519, 6028, 1895, 814, 2907, 2451, 519, 11140, 269, 1677, 17412, 267, 950, 16087, 6327, 10827, 919, 616, 4646, 835, 666, 2503, 873, 547, 2746, 2417, 676, 835, 610, 811, 540, 519, 1739, 12331, 281, 563, 4462, 574, 12817, 26332, 1588, 661, 272, 568, 513, 5114, 538, 799, 519, 8851, 540, 606, 670, 311, 2655, 15856, 550, 2164, 538, 519, 5250, 540, 513, 5595, 6125, 563, 305, 777, 573, 543, 31478, 7353, 648, 3161, 609, 589, 23869, 3281, 520, 2225, 6100, 901, 568, 606, 1383, 540, 606, 661, 272, 322, 289, 5114, 799, 2982, 519, 5250, 540, 1035, 14337, 514, 269, 898, 568, 2147, 547, 513, 796, 574, 12817, 7576, 30858, 18839, 5114, 590, 715, 476, 272, 538, 1585, 2081, 269, 1306, 649, 7074, 4505, 267, 1896, 4632, 1590, 581, 2808, 267, 519, 1034, 1271, 1373, 519, 2497, 540, 519, 12659, 2643, 1895, 543, 519, 2470, 540, 519, 7576, 30858, 2746, 656, 563, 13434, 718, 267, 538, 713, 7271, 23442, 566, 540, 519, 1286, 3316, 542, 2901, 676, 519, 31669, 3679, 610, 676, 19857, 568, 5488, 982, 2530, 540, 519, 6028, 1895, 269, 4935, 267, 513, 7250, 568, 711, 2838, 547, 581, 4550, 12656, 328, 17839, 541, 547, 519, 6028, 1895, 269, 4014, 621, 1058, 581, 7074, 602, 713, 7271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6449, 6246, 1029, 5716, 609, 519, 11968, 13353, 700, 5474, 267, 5749, 8072, 339, 14126, 269, 4340, 547, 519, 2475, 2344, 3146, 14142, 6109, 715, 11520, 6828, 267, 1164, 2389, 3591, 2899, 31233, 4510, 1029, 585, 827, 476, 736, 2600, 540, 519, 2475, 14912, 21489, 2344, 269, 3767, 267, 519, 1297, 814, 3141, 330, 547, 827, 476, 279, 2600, 269, 8899, 2389, 3591, 267, 519, 2186, 602, 27850, 543, 21563, 656, 5957, 267, 723, 6738, 547, 476, 3066, 2600, 267, 689, 1175, 476, 1556, 2600, 538, 476, 1220, 273, 269, 4400, 31795, 14229, 5474, 616, 835, 540, 519, 1034, 9976, 6449, 3393, 13090, 538, 2413, 14912, 269, 2991, 519, 476, 2735, 276, 5794, 808, 867, 753, 865, 9927, 519, 2344, 267, 21489, 3549, 3459, 32626, 835, 1776, 269, 1358, 2322, 2011, 15450, 538, 519, 10209, 1132, 540, 741, 10887, 543, 1500, 5402, 5423, 543, 6896, 6449, 5379, 1029, 269, 722, 499, 5472, 540, 513, 6727, 621, 2968, 513, 6449, 5325, 1029, 1870, 267, 587, 500, 15794, 531, 28137, 267, 606, 25566, 609, 715, 11520, 1895, 267, 5143, 634, 9931, 9335, 4750, 269, 634, 808, 867, 753, 941, 5140, 269, 634, 2344, 4682, 689, 1373, 4986, 547, 513, 2929, 1673, 20683, 1870, 6449, 4366, 13090, 269, 587, 500, 2290, 540, 519, 4128, 1164, 2389, 3591, 616, 711, 865, 6449, 5392, 1029, 15042, 568, 602, 789, 941, 2760, 2731, 1360, 1434, 693, 7863, 519, 3952, 269, 769, 606, 2376, 538, 519, 3703, 4750, 540, 11846, 6925, 538, 476, 1220, 279, 267, 2160, 540, 1715, 31069, 11001, 30621, 27672, 1336, 1100, 2963, 602, 14229, 5474, 1029, 2004, 1029, 7063, 269, 3571, 1382, 2965, 1336, 602, 1164, 31795, 14912, 14229, 5474, 1223, 1256, 2014, 5716, 547, 2196, 14887, 543, 7914, 2539, 269, 3767, 267, 519, 16311, 814, 1831, 513, 2112, 269, 14992, 899, 1520, 573, 553, 267, 715, 833, 267, 1230, 2091, 543, 1234, 20623, 758, 616, 782, 8165, 547, 1711, 519, 1985, 722, 499, 21080, 16888, 267, 587, 500, 543, 609, 519, 1985, 2344, 6370, 269, 476, 7987, 494, 417, 368, 485, 13107, 492, 7987, 495, 667, 269, 589, 269, 30630, 645, 269, 1995, 595, 269, 2799, 661, 269, 5815, 22393, 674, 269, 6417, 717, 269, 5732, 670, 269, 4867, 594, 269, 13418, 808, 269, 20483, 918, 269, 1569, 8479, 1453, 949, 3068, 3978, 1072, 4220, 689, 2442, 1648, 10425, 267, 971, 607, 30947, 267, 4414, 18409, 543, 9412, 10060, 267, 476, 6078, 4929, 2295, 2042, 543, 824, 1272, 18446, 2175, 267, 2687, 547, 519, 4681, 540, 1007, 29622, 269, 4438, 513, 6881, 693, 519, 5993, 9315, 13519, 11660, 590, 32268, 476, 1001, 275, 5870, 540, 519, 1977, 9839, 5948, 630, 288, 11190, 1070, 3173, 19230, 827, 519, 1981, 540, 3850, 1762, 1453, 476, 5655, 547, 519, 1648, 10425, 267, 799, 2270, 1164, 5666, 540, 14933, 263, 417, 496, 500, 417, 499, 350, 18713, 510, 264, 543, 824, 8102, 1218, 269, 1763, 792, 2583, 476, 6246, 602, 519, 1648, 10425, 616, 711, 5497, 585, 1762, 1453, 543, 616, 711, 2922, 585, 873, 547, 8532, 269, 24697, 700, 2354, 327, 738, 345, 267, 631, 6185, 1421, 1291, 2278, 540, 519, 1353, 267, 568, 10912, 585, 513, 9963, 593, 782, 1648, 4235, 23691, 543, 14569, 267, 9963, 3237, 540, 519, 1981, 540, 3850, 1453, 547, 4235, 873, 269, 12824, 2161, 621, 568, 2352, 547, 917, 4010, 875, 1454, 14933, 568, 8659, 538, 1142, 666, 610, 11480, 540, 1648, 10425, 267, 2094, 789, 616, 1419, 476, 4510, 607, 8192, 9360, 630, 16141, 354, 10429, 483, 29830, 358, 1070, 799, 1450, 519, 9755, 547, 2057, 15111, 6042, 269, 6052, 4235, 9755, 723, 3379, 519, 2179, 540, 14933, 538, 741, 2472, 547, 602, 538, 3905, 10425, 4421, 538, 6995, 8075, 267, 855, 741, 2472, 616, 1419, 26437, 538, 1360, 1804, 7306, 543, 454, 1001, 276, 13127, 373, 368, 11590, 490, 418, 357, 350, 476, 26166, 32352, 418, 365, 485, 26233, 375, 918, 12685, 328, 454, 16269, 616, 711, 4421, 538, 476, 3393, 5054, 899, 6995, 8075, 267, 799, 3335, 1131, 711, 4196, 1762, 1453, 269, 6052, 10425, 616, 4922, 2139, 538, 476, 5379, 8637, 1985, 547, 2757, 2571, 10425, 267, 3335, 26437, 538, 1360, 2147, 23691, 543, 1210, 2147, 6725, 2553, 269, 2368, 1648, 10425, 538, 1082, 540, 519, 2442, 3515, 666, 2270, 909, 547, 476, 6110, 8406, 540, 14933, 829, 666, 269, 769, 6476, 267, 513, 7484, 540, 6995, 3335, 814, 1472, 476, 1911, 8406, 540, 14933, 269, 595, 25377, 710, 15464, 666, 2049, 538, 4079, 693, 2157, 2362, 982, 476, 6110, 8406, 513, 1554, 282, 2705, 267, 1453, 896, 476, 1321, 666, 476, 5325, 14933, 15464, 693, 1152, 476, 273, 269, 276, 8406, 829, 476, 273, 269, 273, 6550, 540, 1560, 2597, 269, 589, 1353, 3370, 538, 5181, 476, 4366, 909, 519, 1007, 4681, 267, 13031, 1648, 10425, 949, 2014, 3978, 2295, 2042, 269, 3943, 3173, 7000, 519, 2442, 1648, 10425, 949, 581, 5532, 547, 476, 5392, 1981, 540, 12150, 2295, 2041, 1846, 543, 1256, 6727, 2669, 269, 634, 15111, 568, 476, 2004, 14236, 1072, 4145, 4478, 519, 10425, 1310, 3875, 2942, 2680, 5359, 723, 1044, 1500, 538, 2487, 1296, 8220, 1648, 10425, 547, 4049, 7063, 543, 7972, 269, 476, 7987, 494, 417, 354, 487, 420, 368, 353, 7987, 495, 589, 269, 5659, 645, 269, 4143, 595, 269, 10834, 667, 269, 11658, 808, 269, 10661, 661, 269, 2981, 918, 269, 8209, 674, 269, 5097, 454, 294, 269, 5676, 1456, 670, 269, 8088, 725, 594, 269, 10660, 1229, 454, 6524, 519, 476, 6977, 271, 30778, 267, 519, 2136, 2276, 1185, 513, 1297, 540, 1507, 12621, 267, 1034, 540, 873, 6580, 689, 7810, 2395, 269, 1358, 941, 1507, 267, 5939, 4448, 5238, 4171, 3119, 6161, 729, 547, 3337, 519, 5837, 1915, 540, 741, 1053, 269, 10801, 2342, 267, 5238, 540, 2362, 1565, 1185, 2919, 267, 12946, 519, 3504, 2012, 540, 6280, 269, 634, 4436, 6280, 729, 7255, 6449, 6078, 27702, 609, 2870, 543, 10825, 1702, 267, 711, 26069, 269, 9737, 4571, 10601, 543, 519, 1439, 540, 519, 476, 5197, 271, 30778, 267, 811, 982, 8370, 8536, 1762, 4892, 267, 27025, 30829, 609, 741, 2866, 693, 1753, 267, 4682, 547, 5125, 585, 4359, 1353, 269, 2368, 540, 873, 2132, 547, 1831, 27504, 540, 12621, 540, 1164, 6449, 5655, 27702, 4534, 19604, 10542, 267, 23171, 267, 12052, 734, 663, 6449, 6246, 30668, 873, 883, 2413, 9945, 269, 634, 1007, 27504, 13264, 782, 13218, 609, 519, 13039, 543, 4547, 538, 513, 1007, 2186, 540, 12200, 269, 5584, 832, 941, 21534, 585, 741, 1702, 540, 513, 1641, 267, 711, 1317, 789, 941, 540, 519, 1697, 5132, 543, 1185, 513, 2178, 6186, 585, 6449, 4510, 27702, 1053, 269, 634, 1007, 6240, 729, 602, 513, 6280, 729, 547, 1711, 1702, 607, 1134, 607, 1780, 621, 593, 267, 543, 713, 1572, 585, 513, 12200, 7768, 540, 4116, 1606, 3273, 1513, 269, 3220, 3739, 543, 1565, 676, 887, 974, 941, 8719, 676, 519, 4436, 1505, 540, 7898, 1005, 267, 538, 799, 519, 7548, 30778, 1378, 1382, 729, 4843, 538, 1362, 269, 23958, 2866, 3056, 547, 519, 1912, 6185, 1421, 606, 3504, 4436, 4110, 6449, 3393, 27702, 519, 5207, 1377, 540, 4359, 14046, 9740, 267, 729, 5189, 269, 2060, 519, 6449, 5379, 27702, 1993, 519, 29519, 1062, 267, 10927, 2875, 4121, 547, 2243, 267, 6449, 5325, 27702, 267, 543, 2932, 741, 1378, 1382, 269, 2311, 519, 1482, 942, 267, 519, 1007, 6280, 7494, 9450, 538, 2450, 543, 1576, 17008, 267, 8840, 4625, 856, 540, 519, 2025, 267, 6449, 4366, 27702, 6437, 263, 13644, 378, 31801, 489, 264, 540, 6128, 267, 27825, 267, 20116, 267, 543, 2575, 269, 634, 7022, 540, 12370, 31233, 5392, 13090, 519, 1528, 633, 1062, 267, 676, 799, 1053, 941, 2111, 547, 3442, 741, 1378, 1576, 540, 1353, 269, 634, 10206, 540, 2101, 4610, 540, 1353, 7153, 269, 634, 1007, 3804, 729, 547, 1118, 519, 6280, 31233, 2004, 27702, 547, 519, 1483, 18697, 540, 519, 1158, 269, 9796, 532, 2673, 3007, 547, 519, 4052, 2115, 540, 2486, 267, 519, 1007, 9945, 8036, 2367, 543, 2021, 547, 960, 693, 922, 4247, 269, 4841, 941, 849, 8036, 607, 24192, 267, 16413, 267, 6694, 1235, 267, 1514, 10304, 4600, 267, 543, 3610, 563, 1001, 276, 13127, 373, 368, 11590, 490, 418, 357, 350, 476, 26166, 32352, 418, 365, 485, 26233, 375, 918, 12685, 328, 454, 7987, 494, 420, 503, 373, 9463, 352, 7987, 495, 19648, 281, 13159, 519, 1739, 8574, 676, 1210, 519, 1913, 538, 519, 4216, 269, 3962, 2262, 666, 1152, 581, 1031, 2899, 269, 8074, 602, 972, 568, 835, 2262, 811, 982, 596, 991, 269, 589, 269, 1198, 645, 269, 26490, 1947, 595, 269, 3606, 667, 269, 8806, 674, 269, 4294, 717, 269, 5497, 670, 269, 10805, 594, 269, 10751, 808, 269, 13581, 661, 269, 9901, 918, 269, 1055, 775, 454, 20288, 793, 10256, 786, 723, 513, 2628, 593, 7308, 1606, 13607, 22717, 540, 909, 547, 7790, 476, 12010, 585, 8840, 519, 6808, 1876, 547, 581, 5645, 856, 1985, 3923, 269, 1403, 789, 798, 711, 723, 2614, 6666, 610, 513, 2324, 5491, 3556, 267, 741, 6472, 786, 581, 28728, 539, 263, 19867, 352, 419, 499, 503, 264, 2394, 789, 2628, 734, 663, 789, 786, 3068, 513, 3799, 264, 6449, 6078, 1029, 13927, 540, 7790, 476, 3199, 585, 3478, 1394, 741, 6472, 269, 634, 1876, 786, 849, 581, 6449, 5655, 1029, 547, 3703, 4961, 269, 634, 22717, 786, 581, 4330, 13166, 607, 834, 24119, 657, 1080, 257, 950, 519, 6808, 4031, 1491, 6449, 476, 6246, 1029, 267, 1317, 519, 2724, 1131, 581, 8120, 952, 519, 9920, 4682, 547, 5480, 543, 729, 1336, 711, 16944, 269, 769, 2259, 267, 1360, 1906, 4914, 10256, 616, 2693, 547, 2132, 547, 6628, 547, 4308, 609, 741, 2665, 269, 14579, 10256, 616, 10355, 1029, 476, 4510, 1693, 20357, 7128, 3112, 1491, 2962, 1996, 873, 952, 789, 3111, 547, 2408, 538, 5480, 269, 5502, 267, 10492, 1419, 1029, 476, 3393, 1029, 2285, 21855, 269, 14579, 6472, 616, 476, 1789, 2600, 811, 2693, 547, 581, 538, 513, 16154, 982, 3703, 15696, 626, 1229, 6472, 269, 634, 1297, 540, 26301, 3361, 676, 4914, 6472, 9782, 676, 476, 5325, 2600, 1063, 476, 1220, 279, 543, 476, 1001, 274, 267, 972, 941, 3592, 476, 6110, 7972, 543, 3978, 7063, 543, 476, 274, 267, 1822, 6449, 5379, 1029, 7063, 689, 10913, 3361, 676, 4914, 6472, 538, 476, 1001, 274, 269, 634, 1007, 1876, 568, 14356, 6449, 5325, 1029, 547, 7017, 519, 1966, 540, 4914, 561, 13446, 10256, 24937, 7182, 547, 2597, 543, 3108, 693, 519, 8868, 269, 14579, 561, 528, 1845, 616, 1614, 2053, 811, 2693, 547, 581, 538, 513, 16154, 982, 3703, 561, 528, 1845, 269, 10765, 5544, 11974, 1336, 602, 1614, 20453, 540, 561, 528, 1845, 602, 8959, 3106, 4255, 941, 6449, 476, 4366, 1029, 18246, 269, 634, 3044, 16005, 585, 513, 1416, 1652, 6117, 6449, 5392, 1029, 734, 7945, 607, 6117, 1932, 2673, 547, 519, 6174, 4395, 610, 2542, 513, 4786, 693, 519, 8868, 734, 15884, 581, 7790, 476, 4968, 269, 14579, 10256, 786, 711, 1205, 2798, 607, 6449, 2004, 1029, 3773, 547, 741, 27121, 267, 1247, 3703, 10256, 786, 563, 7987, 494, 421, 375, 482, 417, 509, 498, 7987, 495, 19648, 281, 13159, 519, 1739, 8574, 676, 1210, 519, 1913, 538, 519, 4216, 269, 3962, 2262, 666, 1152, 581, 1031, 2899, 269, 8074, 602, 972, 568, 835, 2262, 811, 982, 596, 991, 269, 589, 269, 4324, 674, 269, 4720, 645, 269, 10950, 717, 269, 9434, 595, 269, 5432, 670, 269, 10639, 667, 269, 3914, 594, 269, 3804, 661, 269, 4259, 808, 269, 10962, 918, 269, 960, 454, 12640, 6866, 594, 2951, 267, 594, 2743, 3486, 3401, 945, 723, 6594, 538, 6628, 269, 1452, 17615, 267, 10995, 1004, 8359, 6628, 1317, 649, 2709, 1164, 2298, 2362, 2069, 269, 901, 568, 1434, 3377, 585, 519, 5177, 269, 4658, 945, 616, 13473, 1934, 723, 513, 6449, 6078, 1029, 17063, 547, 938, 2197, 269, 1358, 3895, 6628, 1472, 519, 1158, 267, 4543, 938, 4123, 543, 938, 23372, 269, 898, 568, 4443, 585, 938, 26933, 543, 938, 17009, 1846, 547, 798, 1870, 609, 1004, 6449, 5655, 1029, 609, 6628, 269, 3703, 18666, 540, 2069, 543, 2866, 616, 4502, 930, 5216, 5479, 6550, 513, 1032, 269, 14559, 20555, 883, 938, 5238, 543, 2337, 938, 6449, 6246, 1029, 547, 1930, 909, 3255, 585, 811, 1004, 547, 1353, 269, 3776, 1762, 1004, 849, 6449, 4510, 1029, 269, 1358, 2744, 689, 519, 9885, 538, 519, 1158, 799, 3346, 609, 3486 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 687, 563, 12024, 782, 5830, 593, 713, 1641, 594, 993, 967, 20623, 1540, 547, 519, 8106, 1568, 540, 570, 2643, 528, 267, 17793, 10045, 267, 543, 808, 5271, 976, 267, 543, 3226, 547, 519, 4930, 676, 1179, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 9576, 1399, 1315, 14163, 7100, 7931, 1734, 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, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 18981, 6191, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 616, 1346, 2496, 8334, 281, 1358, 616, 2027, 2010, 540, 6191, 602, 666, 1118, 1919, 676, 1739, 5528, 2016, 998, 513, 2780, 1982, 269, 4634, 9162, 666, 581, 1500, 1210, 18981, 6191, 2439, 7692, 281, 2334, 781, 3579, 256, 1809, 875, 1281, 621, 960, 286, 1772, 621, 899, 4730, 513, 3381, 3014, 1141, 596, 1175, 2046, 930, 16181, 543, 513, 11442, 5526, 2496, 8334, 281, 670, 21036, 267, 1100, 711, 4010, 269, 3689, 267, 2576, 814, 547, 1711, 513, 1374, 585, 519, 11442, 593, 513, 2780, 269, 3973, 267, 519, 18981, 3684, 14509, 1346, 6272, 543, 6487, 4010, 1018, 11912, 547, 1118, 538, 519, 1570, 547, 1711, 519, 11442, 269, 898, 781, 2186, 540, 899, 950, 649, 27106, 12897, 543, 1246, 513, 11600, 1107, 519, 11600, 6645, 721, 1900, 8386, 9912, 1018, 547, 798, 267, 543, 952, 649, 1246, 621, 7157, 267, 649, 1439, 909, 609, 8949, 12897, 2439, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 267, 621, 781, 899, 4758, 519, 3684, 922, 1378, 1305, 540, 5528, 865, 621, 6487, 1018, 547, 798, 269, 2052, 649, 946, 18981, 6191, 547, 1118, 1022, 1826, 540, 11442, 2496, 8334, 281, 4107, 569, 3574, 9162, 267, 2094, 18981, 6191, 616, 1390, 693, 5969, 543, 5935, 1114, 5686, 540, 18137, 269, 5994, 1373, 2111, 547, 1286, 557, 856, 6946, 5546, 610, 3270, 585, 707, 11308, 6517, 267, 13410, 267, 610, 6564, 17346, 2439, 7692, 281, 26272, 267, 602, 4992, 5863, 256, 3657, 972, 1022, 3652, 610, 3106, 3800, 649, 991, 547, 917, 950, 2324, 609, 18981, 6191, 2496, 8334, 281, 8786, 267, 9090, 256, 3807, 899, 950, 649, 1404, 609, 1483, 6517, 610, 824, 9162, 267, 649, 723, 547, 581, 6297, 1472, 3001, 2694, 269, 2060, 18981, 6191, 267, 649, 2141, 991, 547, 1832, 938, 3946, 543, 10690, 7802, 2476, 689, 519, 5969, 1858, 1247, 621, 781, 2324, 269, 1656, 1310, 519, 3684, 26088, 2870, 513, 11442, 267, 649, 1869, 991, 547, 2638, 952, 3388, 568, 5347, 543, 2922, 1354, 4730, 609, 621, 780, 7692, 281, 20944, 621, 256, 901, 2306, 803, 1589, 540, 1776, 2243, 910, 666, 4896, 1451, 875, 547, 946, 18981, 6191, 286, 2107, 568, 621, 1945, 1360, 7294, 2496, 8334, 281, 1411, 1522, 991, 930, 942, 547, 1451, 875, 547, 7500, 519, 6191, 9108, 543, 3927, 267, 855, 2899, 596, 1174, 519, 9238, 267, 621, 3587, 4443, 269, 9578, 267, 1565, 827, 18981, 6191, 666, 948, 721, 5660, 875, 2029, 20674, 538, 1585, 6080, 267, 1256, 538, 13167, 938, 5172, 9162, 2439, 7692, 281, 8729, 585, 7713, 713, 547, 803, 267, 7705, 256, 3767, 594, 1616, 547, 2119, 1818, 1250, 1378, 11308, 11442, 609, 513, 18981, 3684, 2439, 8334, 281, 594, 6415, 19914, 596, 2811, 5461, 256, 9320, 649, 666, 2307, 707, 3237, 952, 649, 666, 3643, 513, 2199, 13186, 1927, 28069, 269, 5808, 6487, 267, 6148, 596, 3513, 3605, 513, 1007, 15908, 610, 6612, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3778, 540, 18981, 26682, 454, 11990, 570, 269, 29807, 976, 630, 4489, 274, 268, 1220, 278, 1070, 13653, 540, 519, 3004, 2091, 4975, 267, 12309, 2861, 29807, 976, 15278, 267, 568, 4922, 9833, 607, 519, 4651, 540, 2413, 2780, 1242, 10230, 1852, 630, 290, 10998, 264, 1949, 267, 799, 5795, 4332, 547, 519, 4359, 2780, 1242, 3684, 2645, 1031, 538, 5176, 1169, 2872, 2221, 269, 3571, 2038, 18981, 6191, 941, 1031, 547, 5958, 622, 1950, 29357, 19059, 543, 4847, 1864, 547, 3589, 602, 5904, 1131, 6038, 581, 1031, 547, 1852, 5663, 3937, 269, 18981, 20619, 568, 1631, 606, 1898, 5057, 540, 782, 5663, 3157, 563, 300, 22389, 2725, 1115, 23675, 454, 1103, 476, 3707, 277, 267, 519, 2262, 968, 2780, 892, 5921, 513, 24362, 3556, 13234, 19106, 3684, 269, 11569, 1498, 29807, 976, 15278, 1185, 1152, 1500, 835, 4412, 11839, 1354, 267, 3627, 29807, 976, 13251, 31881, 832, 5652, 4477, 545, 16239, 602, 789, 1223, 3132, 5393, 5730, 17074, 585, 4412, 11839, 10198, 543, 5663, 269, 1261, 8694, 909, 733, 337, 1516, 513, 24362, 268, 3556, 2780, 1062, 547, 5173, 2798, 593, 513, 2941, 614, 23301, 16405, 269, 4746, 646, 8910, 10256, 2490, 519, 1668, 547, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 1195, 10435, 609, 18981, 26682, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 8381, 1677, 903, 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, 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 4862, 827, 875, 2178, 2470, 666, 581, 2496, 7692, 281, 17610, 267, 7705, 256, 594, 917, 602, 3006, 519, 2842, 666, 9514, 2731, 2182, 1282, 513, 7088, 780, 8334, 281, 22549, 256, 1656, 798, 596, 3314, 950, 602, 2462, 19996, 3357, 2063, 1032, 286, 898, 729, 865, 17559, 2439, 7692, 281, 23010, 267, 594, 7948, 1405, 979, 3544, 1317, 621, 729, 1932, 5906, 269, 1809, 1018, 1281, 713, 723, 547, 798, 609, 1373, 2178, 2496, 8334, 281, 4270, 267, 1589, 827, 621, 899, 713, 910, 950, 972, 781, 513, 2731, 3983, 7088, 609, 2178, 12798, 267, 1919, 1472, 721, 1522, 1205, 8697, 269, 1280, 1383, 267, 952, 513, 6885, 9397, 267, 621, 1223, 1577, 519, 2842, 3330, 938, 2777, 543, 1118, 513, 3190, 2439, 7692, 281, 7937, 1100, 256, 1924, 875, 666, 649, 1832, 6000, 2922, 1282, 1346, 2053, 2496, 8334, 281, 2334, 781, 1141, 1945, 1572, 1412, 11069, 716, 9486, 262, 2501, 538, 13561, 269, 1358, 2811, 2027, 9486, 1500, 547, 5706, 2178, 12798, 543, 1256, 10760, 3615, 899, 8371, 610, 7725, 2439, 7692, 281, 5808, 320, 267, 602, 781, 3579, 256, 1684, 789, 1413, 1114, 982, 2834, 9486, 2496, 8334, 281, 3502, 8209, 269, 3245, 519, 3330, 267, 789, 1413, 1175, 899, 3339, 9486, 269, 2201, 519, 3544, 267, 1498, 267, 789, 2356, 723, 3063, 6106, 540, 4027, 780, 7692, 281, 594, 1294, 269, 1924, 2348, 1764, 9486, 1797, 649, 1810, 1405, 991, 547, 5855, 827, 7745, 9486, 1282, 513, 7088, 267, 1318, 2496, 8334, 281, 8786, 267, 4010, 256, 9578, 267, 789, 948, 1832, 721, 2922, 543, 18241, 3330, 1247, 519, 7088, 10596, 269, 3807, 4952, 267, 3079, 540, 7738, 909, 513, 5458, 3190, 1310, 513, 7088, 267, 649, 1223, 2972, 930, 3905, 23342, 1927, 2439, 7692, 281, 16319, 1434, 547, 803, 256, 3767, 594, 1174, 1946, 621, 781, 1271, 547, 723, 1764, 9486, 267, 2523, 2094, 649, 2661, 538, 513, 1747, 1141, 24377, 666, 4755, 1169, 1032, 780, 8334, 281, 25999, 267, 7585, 256, 9861, 5423, 543, 1210, 1455, 2631, 4422, 513, 1279, 1259, 538, 5329, 721, 2922, 543, 3280, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20181, 5455, 12506, 32237, 454, 293, 12089, 9406, 8871, 1047, 454, 736, 13012, 15232, 454, 8702, 547, 623, 10603, 6593, 623, 1149, 25842, 8837, 454, 8702, 547, 938, 3896, 585, 623, 10603, 6593, 623, 1149, 8177, 8837, 256, 1284, 2811, 9599, 596, 4312, 6074, 721, 607, 707, 11967, 2707, 585, 782, 1919, 1644, 547, 1764, 9486, 538, 519, 4190, 2749, 540, 623, 10603, 6593, 623, 1149, 269, 1411, 949, 581, 11842, 1946, 621, 781, 2556, 547, 1902, 538, 891, 19756, 267, 7088, 15033, 2472, 282, 1134, 267, 649, 2811, 1934, 547, 2491, 602, 543, 1454, 811, 563, 5978, 2319, 568, 6131, 547, 3246, 596, 609, 1283, 27677, 577, 1344, 543, 2533, 3358, 4481, 547, 707, 2115, 267, 1818, 2386, 596, 3513, 1745, 8746, 827, 7863, 707, 1753, 610, 1870, 689, 8419, 781, 18894, 15130, 4365, 563, 1103, 513, 3148, 1141, 24377, 543, 9341, 15420, 616, 606, 5993, 12136, 267, 621, 781, 2629, 585, 21427, 543, 4213, 7567, 547, 1491, 15324, 3800, 1996, 1761, 3441, 3361, 676, 891, 3532, 4229, 540, 2470, 269, 2334, 781, 1141, 1764, 9486, 2097, 883, 1404, 1107, 789, 2811, 2966, 711, 1152, 547, 16641, 1164, 12798, 855, 849, 2149, 1996, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2793, 307, 13543, 1315, 16661, 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, 0, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 2253, 707, 3408, 267, 596, 949, 7237, 4241, 7068, 1634, 607, 3425, 543, 741, 32620, 15274, 267, 29067, 269, 1717, 267, 621, 781, 1898, 547, 1451, 875, 547, 2170, 609, 891, 24566, 2828, 1510, 3478, 3787, 1084, 780, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 519, 3268, 547, 3247, 513, 21937, 689, 24146, 267, 7713, 1169, 1469, 2059, 519, 1259, 269, 5213, 1405, 5855, 952, 930, 2035, 3100, 14542, 282, 649, 2811, 1934, 547, 948, 596, 6330, 713, 1007, 1158, 2439, 1262, 3721, 476, 272, 281, 13760, 4208, 28523, 625, 645, 924, 4373, 6524, 11362, 883, 3435, 267, 1577, 781, 2263, 1946, 29067, 11116, 1384, 265, 2878, 5938, 1891, 1928, 4995, 3807, 899, 1480, 9002, 267, 29067, 1995, 9636, 1282, 751, 1891, 630, 19925, 476, 274, 268, 277, 3275, 1040, 4258, 9405, 2337, 13468, 713, 1928, 563, 265, 2878, 7336, 2610, 4995, 28523, 625, 946, 741, 28182, 547, 8495, 741, 10450, 267, 1454, 899, 3425, 946, 3946, 563, 265, 2878, 25440, 543, 23462, 4995, 28523, 625, 1419, 562, 760, 610, 5023, 1282, 1404, 547, 4497, 609, 1866, 267, 1519, 3425, 563, 265, 2878, 293, 792, 610, 4160, 4995, 2368, 29067, 1522, 11116, 1813, 547, 4743, 18901, 267, 12219, 267, 610, 16397, 780, 3086, 602, 649, 4312, 4988, 519, 4128, 3297, 21937, 17486, 267, 1577, 781, 1847, 593, 547, 6604, 2994, 2439, 1262, 3721, 476, 273, 281, 16259, 23126, 4373, 2414, 2057, 1373, 3787, 1084, 267, 1246, 891, 2241, 4808, 1384, 265, 2878, 310, 792, 8825, 7802, 4995, 1879, 15025, 609, 29067, 267, 5957, 10690, 1922, 9231, 9660, 267, 1279, 19492, 1407, 267, 543, 27890, 547, 2569, 6534, 2960, 563, 265, 2878, 7230, 913, 14446, 543, 17960, 4995, 3680, 9849, 3880, 1782, 1274, 337, 902, 267, 8405, 331, 2167, 267, 610, 824, 3688, 602, 1223, 1303, 823, 513, 8049, 7782, 547, 10544, 5196, 873, 563, 265, 2878, 16605, 4552, 13615, 1394, 4995, 1403, 596, 723, 1279, 4552, 267, 17063, 621, 909, 547, 2061, 23139, 1178, 25290, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1261, 814, 513, 23499, 4282, 267, 21214, 2866, 543, 1995, 538, 519, 4610, 540, 16758, 267, 27496, 267, 543, 7636, 7350, 269, 3571, 1382, 6212, 593, 7114, 5817, 6127, 543, 3209, 31036, 585, 1950, 2085, 5829, 3676, 267, 971, 607, 12216, 779, 2068, 267, 9761, 6797, 2068, 267, 543, 28491, 31475, 20326, 3676, 267, 676, 9001, 2551, 7400, 9631, 923, 1239, 269, 634, 23499, 2470, 540, 1010, 1382, 814, 13087, 1864, 547, 3715, 21769, 1063, 519, 2361, 540, 25731, 5735, 543, 1585, 7350, 20682, 693, 661, 6652, 16443, 14330, 543, 824, 4081, 5238, 630, 324, 3052, 269, 15875, 5441, 5507, 543, 519, 12370, 570, 13034, 269, 26960, 3427, 540, 5398, 2657, 1040, 1261, 568, 4867, 3238, 538, 1896, 630, 5793, 264, 20139, 931, 677, 807, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4643, 8767, 3117, 4109, 1145, 543, 519, 8551, 910, 10289, 7025, 543, 13505, 4149, 24594, 3203, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 1412, 23945, 8767, 3117, 4109, 1145, 262, 998, 519, 7828, 540, 1148, 267, 4481, 2519, 593, 7025, 3203, 543, 13505, 4149, 24594, 3203, 269, 1284, 786, 2253, 676, 6313, 519, 11358, 1909, 5129, 676, 519, 11599, 1412, 2662, 1961, 3047, 262, 3239, 9676, 1282, 519, 21011, 5692, 267, 799, 6039, 607, 513, 18463, 585, 14237, 513, 7104, 2631, 540, 5539, 2509, 938, 3838, 7226, 269, 1306, 649, 2263, 891, 7499, 7215, 267, 649, 2832, 547, 6536, 2565, 3206, 827, 8103, 781, 2078, 609, 2470, 543, 875, 5159, 946, 741, 960, 547, 6318, 4656, 540, 10296, 2825, 2152, 780, 296, 269, 4197, 4643, 8767, 3117, 4109, 1145, 454, 14343, 13430, 4263, 922, 4295, 267, 4643, 8767, 3117, 4109, 1145, 4016, 547, 513, 15398, 4656, 540, 519, 6946, 4296, 1063, 782, 2713, 7919, 543, 8134, 593, 3047, 267, 2059, 609, 606, 7071, 585, 938, 1747, 1369, 519, 3677, 7122, 269, 634, 4417, 540, 9682, 2029, 3177, 721, 609, 18198, 11052, 540, 938, 4541, 267, 13031, 922, 6526, 1006, 543, 5898, 899, 2760, 1354, 269, 1452, 23877, 27838, 513, 16012, 2463, 585, 519, 1604, 267, 8903, 2043, 543, 3906, 5001, 547, 13720, 14849, 2591, 6849, 938, 1158, 2221, 780, 2162, 4083, 269, 7025, 3203, 281, 17959, 543, 12472, 692, 20245, 3203, 7153, 607, 513, 3982, 9135, 538, 3210, 547, 3395, 4145, 4478, 5533, 267, 546, 13388, 1782, 2200, 267, 4683, 1646, 267, 543, 824, 27643, 5222, 269, 27505, 619, 540, 713, 3350, 8179, 547, 4161, 2757, 11994, 540, 1148, 676, 2502, 2047, 609, 2067, 8916, 543, 2326, 269, 6206, 3140, 5515, 538, 713, 2361, 1331, 7917, 8055, 5459, 630, 306, 2869, 531, 32591, 1399, 1070, 29871, 717, 9529, 18976, 630, 305, 1392, 543, 570, 1938, 1070, 543, 2441, 334, 543, 14639, 928, 4211, 5055, 8775, 630, 310, 571, 5529, 11076, 1040, 1635, 2324, 1623, 321, 3999, 1227, 7258, 2470, 267, 789, 6322, 547, 8300, 9458, 547, 556, 29264, 741, 1378, 3347, 609, 519, 1604, 780, 2971, 8633, 269, 13505, 4149, 24594, 3203, 281, 12745, 783, 1944, 3955, 6761, 692, 306, 924, 4149, 24594, 3203, 3217, 519, 10206, 540, 2825, 6278, 2417, 676, 2870, 1568, 7184, 12082, 538, 1808, 6753, 269, 6270, 4773, 1419, 4431, 2047, 547, 2199, 12583, 267, 4529, 267, 543, 2520, 13132, 267, 7551, 8716, 13588, 547, 2992, 593, 1312, 6237, 543, 2518, 2825, 2152, 269, 6201, 540, 3135, 10391, 19698, 1331, 6276, 5695, 22641, 781, 14339, 523, 9197, 831, 5741, 543, 27211, 4591, 339, 781, 6129, 570, 18365, 1564, 269, 3414, 891, 15138, 2833, 267, 5159, 16436, 4715, 2209, 547, 1106, 15982, 7554, 609, 4609, 18460, 7004, 1813, 547, 1480, 2238, 610, 2916, 1689, 780, 7462, 10001, 269, 12634, 13786, 525, 543, 8892, 19648, 692, 17457, 6377, 7025, 543, 13505, 4149, 24594, 3203, 3136, 547, 11457, 267, 6220, 6932, 4066, 543, 5499, 4485, 1247, 20808, 741, 7029, 547, 9870, 8733, 9637, 269, 10765, 3785, 899, 9986, 2378, 584, 18379, 817, 517, 781, 10979, 13772, 10380, 5031, 519, 23473, 540, 5466, 2916, 1689, 676, 11093, 4890, 7161, 540, 13621, 22260, 538, 1857, 5624, 269, 3958, 267, 10319, 5867, 971, 607, 519, 15729, 674, 732, 6202, 1788, 7520, 19929, 1063, 3744, 267, 14519, 267, 543, 5159, 547, 5352, 3860, 3435, 585, 2825, 16839, 780, 2026, 596, 4497, 609, 713, 1576, 1570, 267, 2015, 519, 1739, 2055, 1384, 265, 1215, 666, 1148, 4196, 607, 513, 6174, 585, 5009, 2825, 4656, 888, 265, 769, 1018, 2081, 798, 4207, 5159, 2232, 4798, 540, 6940, 543, 5726, 998, 741, 960, 888, 265, 1548, 1909, 1281, 9255, 1404, 538, 5935, 519, 2495, 543, 1764, 540, 13505, 4149, 24594, 3203, 2496, 3528, 9691, 6313, 891, 3584, 267, 649, 4126, 547, 15052, 707, 1620, 540, 4643, 8767, 3117, 4109, 1145, 543, 7668, 596, 547, 3565, 9797, 547, 519, 5571, 5188, 1472, 2825, 19642, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 22129, 281, 4643, 8767, 3117, 4109, 1145, 543, 519, 8551, 1107, 2904, 476, 1220, 276, 454, 280, 628, 28167, 6611, 543, 519, 8551, 22544, 543, 32600, 932, 5889, 974, 879, 543, 7467, 540, 962, 591, 18484, 268, 956, 5174, 1622, 267, 16848, 476, 866, 268, 2641, 2904, 476, 1220, 276, 563, 8368, 540, 9115, 10778, 763, 2856, 540, 2048, 23945, 8767, 3117, 4109, 1145, 685, 568, 2047, 2404, 609, 519, 4583, 3239, 540, 519, 2048, 2662, 1961, 3047, 685, 3144, 676, 519, 21011, 20691, 1107, 938, 1753, 4541, 607, 606, 6532, 540, 1272, 13735, 1996, 519, 5318, 3109, 1145, 540, 519, 26355, 269, 901, 3239, 814, 2094, 1831, 513, 24080, 17947, 3090, 1031, 8449, 676, 519, 2825, 543, 14051, 5322, 602, 20441, 2486, 2221, 269, 2201, 513, 4909, 1377, 621, 2047, 9356, 2390, 519, 25872, 543, 22524, 11163, 540, 782, 1272, 593, 3047, 543, 519, 17807, 563, 14722, 723, 5059, 741, 2230, 4066, 593, 519, 4541, 543, 723, 13175, 606, 3573, 5464, 540, 519, 1533, 540, 922, 1134, 1373, 269, 3502, 1152, 616, 2825, 543, 8733, 2242, 543, 7835, 1373, 29506, 1242, 543, 9916, 593, 606, 5571, 4493, 855, 1480, 12602, 971, 607, 2797, 543, 2113, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 7025, 1299, 8092, 3203, 1315, 13505, 4149, 24594, 3203, 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, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 1572, 3345, 4000, 267, 972, 941, 1082, 1114, 1004, 945, 5030, 1927, 269, 1358, 12038, 1114, 4654, 267, 17696, 1114, 3536, 267, 543, 20595, 1114, 9660, 269, 1809, 1256, 1498, 789, 941, 1114, 267, 789, 782, 1185, 835, 3364, 538, 1455, 910, 789, 941, 782, 3425, 2439, 3086, 267, 596, 1522, 581, 11842, 267, 1018, 1281, 621, 1611, 547, 581, 1480, 286, 4270, 267, 1373, 1480, 1797, 2713, 538, 2950, 267, 2921, 1416, 540, 1142, 824, 267, 543, 1210, 707, 9345, 547, 1118, 519, 1158, 513, 1732, 1747, 269, 1656, 835, 1259, 602, 3425, 1451, 827, 1142, 824, 543, 519, 1158, 568, 998, 1945, 1572, 1686, 780, 14532, 568, 899, 513, 2462, 1433, 602, 6645, 721, 2984, 827, 519, 2250, 269, 898, 2337, 721, 1174, 875, 1004, 5030, 267, 1018, 789, 5156, 267, 543, 875, 789, 2170, 539, 609, 1142, 824, 543, 519, 1604, 269, 1635, 4974, 1686, 267, 649, 666, 1451, 827, 1114, 4529, 543, 2081, 540, 1272, 267, 799, 2337, 721, 5660, 938, 1378, 2528, 543, 2463, 1866, 780, 1103, 3345, 4000, 267, 972, 729, 513, 942, 950, 930, 2694, 540, 519, 3148, 941, 32519, 676, 4914, 7060, 269, 16690, 1436, 568, 950, 835, 2197, 3217, 1852, 540, 1776, 2197, 781, 2244, 543, 2200, 267, 1419, 8156, 519, 1004, 945, 2661, 972, 15490, 569, 269, 901, 5949, 538, 1082, 2694, 540, 519, 1158, 267, 1519, 3345, 4000, 780, 3719, 1310, 1082, 1296, 267, 519, 1004, 540, 3345, 4000, 4956, 602, 789, 4941, 741, 7115, 1394, 269, 1358, 5249, 2182, 547, 4339, 585, 741, 2924, 543, 22624, 267, 1175, 899, 596, 1522, 1796, 909, 585, 3054, 952, 2576, 3576, 707, 11442, 1510, 6998, 269, 3414, 12560, 17600, 267, 16395, 267, 543, 3006, 1256, 11439, 9620, 267, 891, 12703, 2367, 543, 2021, 941, 2111, 547, 2744, 741, 7115, 543, 1711, 741, 1378, 2477, 780, 1607, 1974, 540, 942, 568, 1634, 607, 2022, 12258, 11102, 1143, 267, 799, 3274, 1797, 834, 12898, 19525, 1701, 4438, 713, 942, 267, 519, 1004, 540, 3345, 4000, 3323, 547, 25580, 741, 7239, 543, 11615, 267, 1247, 849, 8497, 741, 2189, 2686, 6561, 269, 1358, 3710, 3506, 267, 10506, 267, 543, 9897, 267, 543, 2813, 1007, 4031, 543, 6608, 602, 10630, 741, 2418, 543, 5389, 780, 3080, 1383, 540, 713, 568, 519, 4279, 17018, 4302, 540, 918, 1515, 537, 534, 538, 31512, 807, 269, 901, 4190, 9923, 4302, 729, 3710, 936, 476, 272, 267, 1822, 1296, 3516, 267, 1282, 513, 942, 950, 5771, 729, 10825, 2066, 3345, 4000, 269, 4653, 267, 621, 568, 1869, 606, 1271, 3090, 540, 31512, 1014, 3961, 543, 9099, 5132, 267, 22348, 3025, 540, 519, 3638, 1686, 543, 2528, 540, 519, 3148, 780, 3528, 1565, 827, 2022, 12258, 11102, 1143, 538, 3345, 4000, 267, 649, 666, 1294, 875, 1004, 666, 2097, 1927, 547, 7753, 2591, 543, 1628, 513, 1732, 2104, 585, 2933, 543, 741, 2950, 269, 1284, 666, 849, 5660, 519, 4763, 540, 1480, 2833, 543, 5380, 267, 543, 8661, 519, 1919, 602, 1118, 721, 2189, 1247, 849, 9301, 938, 3838, 8103, 780, 3383, 1985, 942, 596, 1404, 609, 707, 2828, 610, 2671, 513, 7594, 609, 707, 1920, 267, 3314, 602, 891, 616, 1806, 540, 1480, 5872, 543, 2146, 2679, 269, 1656, 676, 1373, 2186, 267, 16614, 267, 543, 1930, 16490, 267, 596, 666, 948, 1118, 519, 1158, 513, 1732, 1747, 267, 1175, 899, 519, 1004, 540, 3345, 4000, 1705, 1282, 741, 6560, 585, 7115, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23430, 540, 3778, 454, 763, 1353, 540, 1686, 568, 606, 1898, 851, 540, 513, 12666, 6575, 2069, 543, 3091, 3407, 7041, 585, 1082, 11678, 538, 1876, 267, 1870, 267, 543, 19761, 282, 538, 2199, 267, 1533, 267, 543, 3084, 2229, 282, 538, 1875, 17416, 543, 3486, 3906, 282, 543, 267, 540, 1576, 267, 538, 3140, 4610, 540, 6791, 602, 1331, 3450, 267, 8021, 267, 543, 15882, 269, 2859, 17618, 267, 676, 606, 4598, 547, 513, 3099, 540, 4529, 543, 1480, 1995, 543, 676, 2866, 538, 519, 7664, 540, 20849, 2963, 267, 519, 4972, 540, 3778, 11394, 547, 5965, 513, 1268, 585, 519, 9021, 540, 15114, 543, 585, 7231, 609, 519, 10701, 340, 885, 540, 1480, 6228, 269, 16844, 538, 519, 1686, 2101, 1982, 7512, 513, 13354, 1935, 547, 1480, 2042, 543, 24115, 2471, 1612, 5255, 658, 1143, 282, 29286, 538, 519, 1982, 8992, 606, 7071, 540, 519, 6988, 540, 1480, 12602, 543, 519, 7965, 3238, 538, 16208, 873, 269, 7053, 267, 519, 9015, 540, 1686, 22262, 9345, 543, 10763, 3206, 563, 5472, 12103, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 4211, 565, 11102, 1143, 538, 3345, 4000, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 3979, 5525, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2735, 278, 267, 513, 14081, 534, 31885, 729, 9783, 547, 10131, 513, 3102, 3084, 5859, 547, 30817, 2192, 3438, 2329, 3226, 1851, 519, 4079, 269, 898, 729, 6059, 693, 602, 942, 602, 519, 1297, 540, 2192, 3438, 919, 6603, 476, 273, 269, 279, 2918, 269, 28147, 267, 543, 1851, 873, 476, 272, 269, 278, 1015, 269, 10755, 2021, 563, 1103, 519, 7187, 543, 9456, 4525, 630, 2181, 16227, 3162, 29874, 1070, 519, 1297, 540, 2192, 3438, 919, 6603, 538, 476, 3422, 278, 3592, 476, 3445, 2600, 540, 519, 2551, 269, 769, 476, 3192, 274, 267, 519, 15510, 17227, 8612, 602, 741, 1297, 1226, 6817, 476, 278, 3607, 269, 23470, 269, 901, 4564, 476, 5379, 269, 273, 2600, 540, 519, 2551, 2949, 269, 9182, 267, 513, 1876, 729, 9783, 538, 476, 3192, 274, 547, 4339, 1996, 2192, 3438, 2329, 543, 2087, 2937, 2069, 4358, 689, 476, 3192, 276, 269, 1809, 267, 538, 713, 5123, 267, 22424, 564, 775, 3366, 547, 7411, 547, 3136, 741, 11645, 538, 3478, 7759, 540, 2192, 3438, 2329, 563, 26877, 3438, 2329, 661, 2784, 1709, 543, 16989, 4065, 1310, 519, 1133, 2305, 540, 29874, 454, 288, 17044, 31885, 630, 13356, 872, 3143, 269, 476, 2764, 264, 729, 9783, 538, 476, 1960, 273, 547, 1305, 909, 267, 607, 851, 540, 519, 12080, 540, 4065, 267, 513, 2192, 3438, 2329, 16701, 1709, 1560, 543, 2937, 2069, 3296, 547, 1118, 2312, 602, 1312, 616, 4105, 543, 13747, 9922, 538, 519, 6243, 540, 29874, 269, 10765, 2090, 7000, 602, 519, 1297, 540, 2192, 30185, 1004, 9782, 547, 476, 276, 269, 4343, 272, 269, 5611, 269, 901, 2333, 666, 581, 11911, 547, 513, 1297, 540, 4128, 912, 763, 2067, 2333, 540, 519, 2551, 607, 1134, 607, 519, 2551, 2208, 538, 29874, 723, 6603, 476, 274, 269, 278, 2600, 269, 634, 1292, 2601, 3297, 2192, 3438, 2329, 568, 519, 1875, 31281, 754, 766, 540, 5049, 538, 6552, 2127, 563, 2005, 568, 938, 10279, 267, 2864, 982, 519, 5539, 540, 513, 2016, 5428, 267, 547, 30817, 2192, 3438, 2329, 538, 938, 22657, 799, 814, 1044, 6849, 513, 10825, 540, 2192, 3438, 2329, 711, 1152, 1851, 519, 4079, 855, 849, 519, 1453, 269, 0, 13981, 634, 12428, 22843, 454, 9359, 513, 23008, 2065, 31660, 281, 6258, 12428, 543, 7046, 513, 2622, 540, 6762, 9177, 543, 19983, 1107, 4804, 634, 12428, 22843, 454, 1103, 513, 1158, 1141, 10665, 616, 5051, 23324, 267, 519, 12588, 547, 1921, 2066, 4529, 568, 513, 2706, 12741, 269, 2037, 9679, 18167, 883, 513, 1893, 602, 11438, 519, 2597, 540, 5553, 267, 513, 1893, 602, 711, 1152, 10741, 9885, 855, 849, 9486, 883, 519, 10731, 13795, 540, 513, 7524, 10340, 269, 901, 10409, 3460, 5956, 609, 519, 9159, 30951, 540, 12428, 267, 513, 1893, 602, 25186, 2241, 2792, 267, 4742, 513, 22045, 547, 1620, 519, 2295, 540, 606, 3504, 543, 3309, 2528, 563, 13981, 634, 12428, 22843, 281, 634, 5900, 3555, 540, 12428, 11910, 19973, 454, 28275, 519, 3460, 540, 12423, 12428, 12851, 547, 10024, 513, 30811, 1158, 1141, 1142, 4484, 568, 513, 960, 540, 1148, 267, 606, 4082, 540, 2528, 267, 1686, 267, 543, 17035, 269, 2311, 519, 2295, 540, 713, 10409, 14952, 6013, 519, 22539, 27559, 540, 12428, 30951, 269, 9521, 824, 21882, 1949, 267, 12428, 30951, 568, 711, 3274, 513, 1505, 540, 1098, 21564, 1913, 282, 621, 568, 513, 3308, 1623, 21620, 267, 513, 17866, 7544, 540, 13504, 593, 1957, 602, 4422, 3564, 519, 27217, 269, 5272, 8482, 267, 1169, 7455, 267, 568, 606, 18532, 543, 15826, 4082, 267, 16471, 1826, 543, 2495, 538, 513, 5347, 4999, 563, 288, 32106, 30951, 267, 609, 922, 3309, 6163, 899, 715, 2532, 327, 267, 4144, 342, 8643, 267, 543, 774, 592, 3578, 267, 5713, 607, 513, 2713, 21981, 547, 519, 8978, 4720, 540, 519, 12428, 7097, 269, 3962, 2511, 11438, 922, 1378, 1915, 267, 6029, 519, 12716, 22587, 540, 1114, 2127, 543, 546, 15342, 269, 715, 2532, 327, 267, 609, 922, 12166, 8856, 267, 22262, 513, 2631, 540, 3666, 543, 1931, 267, 1247, 4144, 342, 8643, 267, 609, 922, 18297, 14258, 267, 2882, 513, 5057, 540, 11419, 543, 5714, 640, 269, 774, 592, 3578, 267, 6956, 585, 922, 6905, 543, 3483, 995, 18116, 267, 24151, 513, 2631, 540, 6264, 16725, 543, 32444, 640, 269, 634, 1353, 540, 12428, 30951, 7475, 909, 1373, 711, 3274, 513, 10409, 13287, 2705, 606, 16939, 540, 606, 3504, 3308, 1893, 267, 1141, 519, 26274, 540, 519, 7768, 2262, 3587, 513, 24891, 547, 1620, 519, 9997, 540, 513, 10340, 563, 11101, 267, 12428, 30951, 11498, 3564, 519, 26441, 540, 4050, 543, 1957, 267, 8915, 532, 538, 6189, 267, 17234, 267, 543, 1256, 1554, 3562, 6377, 1919, 269, 3245, 519, 14969, 1266, 9545, 902, 740, 528, 940, 9923, 13196, 547, 519, 10347, 30996, 880, 906, 593, 6671, 23907, 267, 519, 3310, 540, 30951, 568, 9631, 30876, 6974, 538, 519, 6259, 1158, 563, 13981, 12428, 7475, 909, 1373, 513, 28241, 1995, 267, 1141, 519, 11029, 2906, 540, 4050, 26206, 543, 519, 2686, 4644, 540, 7097, 27721, 267, 5356, 6267, 513, 2027, 4960, 547, 10146, 519, 9759, 540, 4082, 538, 1312, 1106, 543, 1543, 269, 1306, 835, 4044, 919, 519, 30811, 14960, 540, 12428, 30951, 267, 519, 1893, 2781, 1162, 547, 581, 513, 2241, 2409, 540, 5872, 282, 621, 2242, 883, 513, 2713, 267, 7244, 1148, 2186, 267, 22205, 6267, 547, 1491, 851, 538, 519, 5898, 540, 513, 5553, 6040, 2688, 563, 2304, 9980, 8896, 547, 8836, 26548, 1127, 454, 19185, 883, 519, 1158, 540, 12428, 1893, 11601, 20546, 525, 519, 2627, 1858, 540, 10409, 10848, 1107, 621, 796, 331, 4169, 547, 606, 26080, 2686, 27356, 8124, 269, 12428, 568, 711, 513, 1395, 18070, 11769, 282, 2864, 267, 621, 20206, 12885, 519, 24463, 540, 3309, 16973, 17364, 519, 5664, 5101, 543, 3345, 4000, 269, 3962, 13172, 11438, 609, 621, 606, 2189, 6492, 267, 513, 21981, 547, 519, 10731, 13795, 540, 1686, 267, 4087, 267, 543, 3838, 2833, 563, 2026, 1053, 19584, 519, 10409, 5251, 267, 789, 7866, 519, 16060, 602, 15827, 1927, 519, 6386, 540, 3504, 12977, 543, 4207, 7239, 269, 634, 1353, 540, 12428, 9388, 606, 15982, 1620, 540, 6259, 5389, 267, 16419, 338, 267, 543, 1514, 11029, 2906, 269, 898, 8761, 519, 1950, 1357, 540, 4296, 538, 1063, 1893, 543, 2528, 267, 13031, 875, 18986, 1682, 267, 2161, 902, 267, 543, 1256, 10409, 4191, 909, 1397, 519, 19469, 7406, 540, 2247, 540, 606, 2043, 563, 13010, 267, 12428, 6411, 607, 513, 10409, 8115, 2066, 942, 267, 16046, 2413, 10529, 609, 519, 8106, 1568, 540, 3332, 602, 723, 2965, 4371, 909, 1996, 5553, 269, 634, 12588, 547, 1224, 519, 19621, 18627, 540, 1325, 5336, 27175, 629, 6798, 267, 2638, 856, 519, 10952, 1660, 902, 540, 594, 16818, 27538, 323, 267, 610, 6336, 13951, 538, 519, 8941, 540, 2290, 23897, 663, 543, 2290, 715, 2074, 3587, 711, 3274, 606, 4081, 13287, 855, 513, 1471, 30844, 4276, 547, 519, 7214, 9371, 540, 519, 6259, 1158, 563, 19741, 3332, 267, 12428, 3091, 5813, 883, 519, 7524, 9821, 540, 5711, 9423, 267, 12563, 2575, 267, 543, 7544, 269, 3962, 3148, 19646, 922, 1378, 3982, 2686, 19183, 267, 689, 519, 18512, 667, 629, 651, 7544, 538, 2274, 2779, 710, 4529, 547, 519, 9997, 3613, 597, 2590, 23964, 540, 1656, 31647, 1014, 2575, 538, 3345, 4000, 269, 3414, 1893, 11601, 267, 6267, 1831, 2686, 10236, 5505, 267, 24758, 519, 6106, 540, 2495, 11251, 538, 1169, 2262, 267, 4082, 267, 543, 2686, 2259, 563, 1103, 9759, 267, 519, 3460, 540, 1565, 12428, 25186, 10409, 15334, 282, 621, 3587, 513, 1780, 1636, 547, 513, 2713, 9754, 540, 1480, 1995, 269, 634, 1893, 3252, 607, 513, 8115, 547, 519, 2250, 543, 513, 6885, 547, 2221, 267, 18136, 12439, 547, 23365, 2933, 538, 513, 2686, 13795, 602, 568, 607, 3309, 607, 621, 568, 3573, 269, 1306, 6267, 1174, 519, 14960, 540, 12428, 267, 789, 12260, 711, 3274, 1913, 2705, 519, 1360, 9759, 540, 513, 10340, 602, 5170, 547, 3337, 519, 1650, 540, 938, 3486, 8378, 563, 289, 4900, 532, 519, 23008, 2065, 631, 10270, 454, 2026, 6267, 7832, 593, 519, 4241, 3460, 540, 13215, 12428, 267, 789, 2097, 2066, 513, 10409, 2978, 31307, 602, 568, 1312, 6457, 1302, 18398, 543, 21176, 1950, 269, 634, 2497, 540, 519, 12428, 1893, 5673, 593, 922, 3982, 3597, 2861, 1062, 267, 513, 1950, 3060, 602, 13462, 1913, 998, 3838, 27901, 531, 5072, 269, 901, 10409, 6189, 8591, 513, 4494, 540, 3178, 543, 30483, 267, 7432, 519, 5650, 540, 2679, 5220, 883, 513, 11015, 602, 939, 330, 976, 519, 8049, 2247, 563, 763, 12428, 7097, 267, 609, 922, 1880, 25777, 2511, 267, 2488, 6267, 609, 513, 3308, 21649, 269, 634, 5546, 540, 5022, 2981, 5705, 569, 1759, 593, 741, 2990, 538, 513, 2262, 267, 3384, 606, 8353, 24312, 24886, 543, 11733, 1227, 18297, 7097, 269, 634, 5872, 540, 15956, 543, 1019, 659, 15560, 7436, 2882, 2417, 11029, 1399, 267, 19249, 519, 2495, 543, 12332, 540, 1913, 269, 1133, 342, 4193, 519, 13655, 540, 12428, 7097, 7475, 909, 1373, 513, 3460, 883, 519, 1148, 540, 6111, 267, 1141, 1142, 4484, 568, 513, 11453, 560, 6593, 7700, 547, 519, 3677, 17198, 540, 5872, 563, 294, 1090, 3405, 538, 12428, 267, 1247, 4101, 267, 568, 513, 1883, 3693, 602, 3029, 519, 1893, 779, 1714, 13228, 775, 543, 2769, 4369, 269, 634, 14969, 7544, 540, 8231, 17788, 725, 267, 10902, 2665, 267, 543, 519, 6165, 540, 519, 12242, 1106, 267, 8761, 513, 10409, 22717, 572, 602, 6087, 16082, 540, 10834, 7543, 547, 2594, 538, 3875, 824, 4654, 269, 9457, 344, 540, 891, 10409, 10848, 16877, 6267, 547, 6655, 2035, 609, 606, 6111, 543, 17381, 602, 25186, 2241, 8144, 563, 288, 32106, 779, 10409, 2978, 31307, 11498, 3564, 922, 4013, 3889, 267, 1519, 513, 3309, 6863, 602, 9356, 519, 1893, 779, 8978, 1646, 269, 634, 3310, 540, 12428, 593, 4610, 971, 607, 6128, 267, 17651, 267, 543, 6646, 5526, 538, 519, 5458, 5542, 540, 2930, 2474, 6565, 4364, 689, 12428, 5072, 269, 18833, 12428, 267, 4061, 267, 3587, 513, 11455, 16939, 267, 8220, 711, 1152, 609, 519, 1893, 779, 4948, 6165, 2705, 11338, 609, 922, 3573, 1764, 593, 519, 10600, 540, 1620, 543, 7214, 1686, 563, 1103, 9759, 267, 10188, 519, 10409, 28618, 540, 12428, 568, 606, 7214, 7045, 269, 898, 2591, 1053, 547, 10950, 519, 6988, 267, 5660, 519, 26274, 540, 4082, 267, 543, 4497, 609, 513, 1893, 602, 814, 2965, 1044, 513, 8756, 585, 1620, 267, 1702, 267, 543, 19621, 19259, 2429, 519, 6502, 269, 1306, 1053, 21264, 519, 10409, 9479, 267, 789, 12260, 711, 1175, 513, 7154, 540, 2792, 2705, 513, 3896, 547, 513, 1158, 1141, 1893, 568, 513, 2713, 267, 7244, 11769, 267, 11179, 3384, 543, 16079, 532, 519, 3573, 2245, 540, 922, 10529, 563, 11328, 9146, 15332, 645, 7451, 454, 763, 17117, 540, 12428, 11498, 2484, 3564, 519, 32604, 540, 922, 10923, 8129, 267, 11093, 3294, 607, 513, 5001, 8115, 602, 8992, 3486, 5872, 543, 1620, 269, 1306, 835, 4991, 15334, 538, 12428, 267, 519, 9885, 2139, 547, 513, 5458, 543, 10562, 3060, 540, 12428, 10529, 7856, 1472, 519, 1158, 269, 12428, 267, 607, 835, 540, 519, 476, 277, 1292, 4654, 540, 519, 2136, 8315, 267, 6585, 513, 2027, 4567, 538, 20320, 10580, 267, 23478, 1053, 609, 519, 2645, 547, 7119, 538, 3486, 11407, 269, 4804, 634, 12428, 22843, 563, 763, 2956, 540, 12428, 538, 519, 2413, 1158, 3587, 10423, 538, 3875, 4274, 4610, 269, 3245, 19761, 547, 5001, 3028, 267, 15334, 538, 12428, 16877, 1004, 547, 6330, 519, 10848, 540, 513, 2518, 1242, 2486, 269, 1306, 519, 1158, 7475, 909, 1373, 811, 10562, 267, 519, 3747, 585, 2043, 945, 666, 2170, 3927, 2429, 2686, 543, 10409, 6302, 814, 2760, 2479, 1044, 2362, 269, 18833, 12428, 7475, 909, 1373, 711, 1152, 606, 7214, 13287, 855, 513, 28365, 10697, 267, 7393, 835, 779, 2344, 1464, 543, 6679, 9885, 547, 9867, 3924, 8458, 563, 12234, 267, 12428, 568, 519, 1893, 540, 513, 18512, 543, 27763, 29563, 269, 12428, 16973, 12732, 17407, 267, 689, 519, 5664, 5101, 547, 2342, 267, 3345, 3013, 267, 543, 3564, 269, 1635, 4466, 856, 12428, 267, 1004, 2744, 1569, 547, 513, 7524, 3486, 3060, 267, 6721, 4296, 602, 979, 3564, 18487, 10665, 269, 901, 1019, 19166, 545, 3914, 540, 519, 1893, 8591, 606, 3606, 4494, 547, 519, 2686, 16939, 267, 3850, 6267, 547, 4497, 609, 9867, 5380, 543, 2833, 1369, 519, 12428, 18702, 2146, 563, 1103, 513, 1158, 1141, 1434, 1620 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 8204, 3309, 9163, 593, 7641, 267, 972, 3788, 960, 547, 581, 2944, 269, 25214, 267, 1978, 2516, 723, 1044, 16934, 610, 3765, 21323, 1813, 547, 11528, 12886, 543, 7130, 269, 4634, 1631, 267, 930, 5121, 28511, 5739, 11475, 543, 18351, 1143, 1107, 1210, 2582, 3197, 689, 12102, 2516, 8806, 547, 2638, 10833, 2864, 982, 3384, 1134, 25454, 1268, 553, 780, 2026, 13533, 6800, 267, 649, 1590, 3180, 2923, 3549, 18177, 585, 4023, 543, 4977, 28402, 540, 782, 9163, 269, 11559, 2828, 543, 1920, 2818, 547, 4585, 24617, 18705, 3292, 602, 8661, 4763, 543, 10014, 269, 8625, 267, 649, 666, 6536, 513, 811, 16561, 267, 12581, 1604, 1312, 593, 543, 13726, 10547, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 11328, 1613, 338, 1715, 26629, 806, 23866, 3203, 9022, 338, 774, 514, 5794, 9012, 12713, 25103, 13360, 902, 18248, 13555, 2008, 296, 715, 570, 661, 681, 966, 594, 661, 654, 590, 454, 15674, 24639, 7034, 31304, 23813, 9215, 5990, 681, 4696, 22473, 570, 3198, 8656, 21832, 306, 4041, 307, 9898, 623, 4041, 17955, 14160, 27912, 28313, 454, 14483, 2152, 267, 2621, 543, 3466, 538, 1148, 616, 513, 17259, 1055, 1448, 585, 606, 3408, 540, 2093, 602, 5749, 1405, 8209, 834, 18080, 2437, 2943, 616, 1008, 25607, 543, 2709, 513, 7828, 593, 1995, 602, 1152, 1148, 666, 1683, 269, 22456, 476, 11740, 6799, 3638, 569, 1257, 3293, 543, 14156, 22298, 2984, 602, 1413, 693, 1148, 781, 3860, 3310, 543, 13710, 1379, 538, 4948, 1272, 269, 22456, 476, 11740, 568, 513, 12353, 1397, 602, 2011, 338, 25422, 998, 5398, 15571, 4139, 269, 1280, 2053, 593, 707, 2199, 715, 11266, 6728, 267, 3643, 22456, 476, 11740, 585, 6728, 1592, 902, 563, 1103, 476, 4198, 277, 623, 25184, 548, 13643, 3893, 513, 1289, 689, 5020, 18225, 585, 513, 8666, 7084, 899, 1100, 824, 269, 634, 3484, 4884, 540, 8053, 545, 10314, 4993, 1131, 4166, 581, 24760, 896, 8235, 7137, 787, 612, 320, 543, 642, 4314, 689, 519, 3068, 540, 519, 3618, 269, 13643, 8678, 1010, 5869, 267, 519, 8666, 329, 16067, 626, 16910, 6139, 320, 700, 1052, 267, 547, 3561, 8053, 545, 10314, 781, 3803, 1032, 538, 513, 3126, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11847, 6974, 725, 540, 14740, 593, 7641, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 3778, 1299, 29576, 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, 0, 3848, 476, 1724, 281, 12619, 8862, 820, 15136, 543, 10076, 2657, 692, 1724, 269, 272, 4985, 692, 763, 1480, 1995, 568, 6353, 676, 9979, 540, 12687, 6888, 543, 3207, 267, 799, 616, 1898, 585, 4509, 6099, 2168, 267, 5042, 267, 543, 3929, 8647, 269, 1717, 267, 950, 891, 18819, 1831, 7988, 29970, 267, 2043, 949, 7237, 1585, 3207, 2914, 820, 4713, 630, 14684, 291, 1070, 11874, 18363, 741, 2949, 2298, 540, 1272, 269, 901, 3184, 786, 1445, 5097, 593, 3119, 20026, 910, 513, 11342, 17335, 291, 5702, 23091, 609, 2790, 1072, 2152, 971, 607, 4965, 543, 4160, 269, 3414, 606, 2502, 267, 2219, 4538, 2239, 267, 649, 786, 2263, 519, 1950, 2078, 1063, 20026, 543, 2790, 1072, 267, 10771, 10368, 2591, 267, 2126, 4485, 267, 543, 4052, 2994, 547, 2087, 3207, 543, 2790, 1134, 5630, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11900, 17410, 1107, 621, 779, 811, 982, 1175, 513, 3781, 540, 3983, 3207, 267, 3884, 1406, 621, 286, 594, 1205, 602, 1317, 1082, 17334, 267, 594, 4076, 17388, 609, 1964, 16531, 1932, 543, 7058, 1018, 286, 3194, 5267, 1472, 476, 2004, 260, 540, 20026, 2665, 616, 5532, 547, 2790, 1072, 2152, 899, 4965, 610, 4160, 563, 1103, 713, 2376, 267, 649, 5490, 2620, 883, 519, 4276, 1063, 20026, 543, 2790, 1072, 267, 3695, 11342, 3123, 267, 6286, 593, 1134, 5630, 267, 543, 2500, 2994, 585, 25588, 19492, 20439, 17334, 563, 4504, 29098, 286, 25529, 1472, 607, 649, 19586, 891, 30148, 13655, 1927, 2336, 268, 634, 20556, 9737, 6184, 17410, 543, 10076, 2657, 454, 268, 26616, 12694, 454, 268, 9615, 22604, 454, 268, 11150, 547, 13724, 12619, 543, 10076, 2657, 454, 268, 6184, 17410, 568, 9244, 5532, 547, 2790, 1072, 2152, 899, 4965, 543, 4160, 267, 609, 5111, 476, 2004, 260, 540, 20026, 2665, 1373, 2404, 609, 891, 2175, 563, 268, 1703, 616, 6211, 6127, 602, 1921, 20026, 543, 2790, 1072, 267, 1519, 2242, 538, 2634, 6464, 543, 21463, 538, 519, 1560, 779, 2566, 1062, 563, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28036, 8862, 820, 15136, 257, 607, 851, 540, 834, 25503, 1315, 10076, 2657, 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, 0, 3848, 476, 280, 281, 5384, 6215, 2354, 543, 27405, 1190, 5800, 1023, 692, 5331, 6679, 513, 7450, 543, 19480, 998, 621, 267, 1152, 547, 1265, 3054, 711, 538, 707, 23103, 15042, 855, 538, 513, 4625, 1114, 1747, 543, 942, 269, 16319, 899, 1945, 856, 540, 513, 2257, 5708, 7260, 267, 1318, 286, 4270, 267, 602, 781, 519, 2856, 3297, 942, 2951, 267, 543, 4481, 267, 942, 1793, 2354, 543, 12357, 2823, 1023, 269, 2913, 781, 4685, 883, 713, 4241, 1523, 2439, 1432, 616, 5384, 6215, 2354, 543, 27405, 1190, 5800, 1023, 888, 14343, 15365, 11742, 1793, 2354, 543, 12357, 2823, 1023, 616, 9259, 1141, 1004, 3100, 547, 10393, 1847, 998, 942, 543, 2230, 1510, 1022, 9266, 7778, 269, 589, 942, 17277, 1223, 3560, 596, 547, 519, 2250, 610, 2104, 267, 1247, 513, 22045, 1522, 1491, 596, 547, 1776, 4087, 7357, 269, 1452, 2035, 1419, 2408, 538, 2984, 827, 9059, 267, 14810, 267, 543, 2257, 5708, 780, 2162, 4197, 5384, 6215, 2354, 692, 288, 942, 17277, 568, 2147, 547, 17259, 4464, 610, 18807, 593, 513, 15415, 269, 1411, 949, 2743, 2576, 945, 5030, 5553, 3516, 267, 1995, 3140, 2621, 20250, 267, 610, 7198, 875, 3047, 1522, 1413, 5215, 540, 1296, 689, 1631, 269, 1717, 267, 2899, 596, 2132, 547, 519, 1459, 630, 604, 596, 666, 1070, 972, 1131, 581, 1100, 6169, 602, 707, 3460, 2479, 5949, 2094, 267, 689, 3025, 3116, 781, 5133, 267, 1100, 942, 1185, 2965, 5293, 780, 2971, 10289, 6201, 692, 265, 769, 834, 763, 5384, 12567, 2437, 676, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 3036, 17162, 11553, 3633, 8453, 306, 11123, 476, 1001, 274, 2005, 568, 2352, 547, 917, 4010, 950, 930, 3270, 786, 8915, 538, 519, 2168, 1158, 267, 610, 2436, 519, 2621, 786, 723, 1447, 610, 811, 1764, 538, 2474, 540, 1018, 729, 2283, 539, 25656, 269, 594, 4043, 547, 581, 4608, 2335, 1176, 4977, 3006, 267, 543, 693, 824, 2053, 594, 6557, 1296, 1055, 267, 609, 1100, 1259, 547, 917, 693, 519, 942, 950, 513, 4806, 568, 13603, 909, 269, 1809, 1250, 6891, 10274, 4043, 547, 581, 3810, 4977, 267, 7488, 269, 6884, 1256, 594, 4043, 547, 581, 27086, 950, 1250, 11236, 2097, 3020, 256, 901, 1032, 1082, 540, 2063, 1032, 779, 11236, 786, 3136, 547, 581, 1713, 256, 898, 568, 4443, 547, 1294, 2621, 982, 4010, 950, 789, 786, 1098, 335, 790, 269, 634, 7629, 4288, 540, 5384, 256, 263, 14006, 539, 5412, 476, 1240, 267, 476, 1001, 273, 264, 1103, 1082, 24947, 519, 11236, 540, 476, 1001, 272, 543, 476, 1001, 273, 1869, 3180, 32022, 269, 634, 11173, 19236, 3344, 616, 2870, 1713, 8863, 20315, 2464, 593, 1082, 1114, 2157, 538, 519, 2622, 540, 8745, 543, 4813, 269, 7490, 3972, 707, 26756, 543, 2628, 2673, 3007, 547, 707, 20932, 693, 782, 2053, 547, 3251, 521, 2033, 543, 2922, 269, 3918, 3036, 294, 3198, 22003, 9569, 786, 1831, 519, 676, 5320, 585, 476, 1001, 274, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11742, 6215, 2354, 270, 7069, 3122, 1190, 5800, 1023, 257, 607, 851, 540, 834, 16300, 16337, 1315, 3163, 11470, 1315, 5384, 13488, 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, 0, 15536, 9798, 8889, 281, 27986, 21041, 538, 519, 7913, 6520, 692, 1103, 2221, 781, 3059, 2085, 267, 2166, 1499, 10628, 814, 1831, 606, 7533, 851, 540, 938, 3232, 2729, 269, 3245, 1514, 1944, 543, 10918, 547, 12948, 543, 2324, 267, 649, 5051, 7048, 593, 519, 4950, 585, 1585, 2238, 269, 2755, 2029, 3091, 3875, 2640, 267, 621, 849, 12651, 1950, 3609, 2152, 4478, 7834, 267, 3354, 267, 543, 3540, 23118, 269, 2290, 971, 3390, 25701, 547, 703, 6350, 687, 883, 1514, 2923, 6589, 543, 741, 6286, 585, 1367, 7834, 543, 13338, 20038, 269, 901, 3184, 12538, 883, 891, 4145, 267, 6313, 519, 3656, 5943, 12044, 1514, 2923, 13178, 267, 922, 1764, 593, 3755, 262, 7834, 2924, 267, 543, 1761, 3609, 6114, 780, 272, 269, 4197, 519, 13751, 23721, 281, 634, 19549, 14821, 543, 4317, 9012, 24028, 11462, 692, 763, 19549, 14821, 547, 519, 2136, 2276, 9139, 18715, 4961, 4027, 1996, 11389, 32208, 19707, 543, 17465, 269, 898, 23616, 12885, 602, 3406, 11562, 1218, 1590, 581, 1759, 593, 21483, 2014, 543, 9783, 676, 513, 9243, 4012, 626, 3433, 269, 1717, 267, 8159, 1018, 13054, 513, 10257, 20772, 540, 7834, 538, 519, 2796, 540, 1514, 2923, 13514, 2189, 2591, 269, 1306, 519, 10966, 7040, 7074, 538, 15576, 345, 642, 269, 2136, 2276, 630, 3422, 278, 1070, 6788, 540, 7834, 949, 8428, 538, 1114, 5468, 269, 1280, 3236, 267, 1247, 7391, 538, 513, 6049, 1630, 1054, 2972, 930, 1377, 540, 4027, 267, 2043, 723, 7864, 6788, 540, 7834, 950, 1210, 513, 1857, 2628, 7483, 269, 6684, 267, 10470, 723, 17388, 547, 5581, 519, 6302, 540, 7834, 538, 519, 3059, 7706, 267, 3226, 3823, 1514, 2923, 5867, 780, 320, 264, 654, 1551, 656, 2861, 1569, 547, 1514, 2923, 1239, 281, 1879, 22602, 3343, 547, 3489, 4357, 1514, 2923, 5638, 998, 513, 15549, 267, 789, 3335, 1246, 3964, 5773, 896, 519, 853, 1819, 18058, 2920, 630, 306, 7563, 1040, 2037, 716, 539, 538, 476, 2735, 277, 607, 851, 540, 519, 18329, 18058, 21041, 2920, 630, 4488, 5183, 1070, 519, 590, 7563, 21560, 2229, 1569, 547, 5907, 10618, 6740, 676, 3028, 7426, 269, 22353, 267, 1876, 11268, 8041, 666, 7662, 3593, 1239, 689, 1514, 2923, 3549, 676, 9306, 513, 4570, 15549, 269, 1403, 9516, 267, 519, 2754, 1590, 30035, 519, 16761, 1344, 547, 519, 8128, 780, 321, 264, 21816, 776, 23930, 543, 3791, 18407, 14985, 281, 15766, 2209, 949, 849, 3801, 547, 4931, 1203, 519, 15549, 10421, 676, 16565, 3593, 1239, 998, 17319, 12607, 17007, 676, 2828, 610, 1920, 2818, 610, 676, 2870, 16995, 12632, 547, 3659, 519, 3077, 1367, 269, 1452, 4485, 6318, 2055, 827, 2436, 519, 19549, 14821, 10039, 547, 1344, 3838, 32380, 610, 15600, 998, 632, 21082, 1797, 269, 30271, 3622, 15666, 547, 519, 3791, 18407, 14985, 1765, 14140, 13994, 4327, 538, 8055, 642, 269, 15930, 630, 3192, 280, 28931, 6518, 6585, 602, 2043, 798, 711, 723, 513, 10257, 20772, 540, 7834, 538, 1344, 789, 32380, 2671, 609, 3791, 6105 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2123, 1272, 267, 2219, 267, 543, 2932, 267, 607, 1134, 607, 1346, 11341, 547, 2797, 543, 454, 25791, 2932, 543, 4655, 1848, 264, 630, 638, 21320, 7436, 31360, 1916, 7661, 267, 15516, 269, 14351, 2023, 733, 1742, 602, 519, 1876, 568, 796, 6247, 3191, 958, 22394, 267, 799, 454, 2889, 3031, 1080, 519, 6006, 335, 4979, 540, 15963, 693, 1753, 585, 1753, 8878, 269, 1809, 519, 5822, 14821, 454, 23181, 338, 519, 1318, 547, 4865, 9604, 547, 8190, 968, 320, 22510, 2486, 1848, 4173, 526, 517, 267, 476, 4281, 278, 454, 306, 15030, 269, 273, 323, 693, 476, 6642, 269, 1656, 267, 607, 11609, 676, 519, 10966, 7040, 779, 11495, 1524, 4031, 602, 454, 2889, 3031, 1243, 7784, 9562, 15587, 267, 670, 11839, 267, 476, 4649, 275, 772, 2529, 269, 693, 476, 277, 2918, 1700, 3066, 267, 607, 1134, 607, 23380, 730, 454, 331, 9155, 602, 16094, 454, 1432, 779, 1715, 538, 519, 888, 301, 16197, 545, 3679, 568, 606, 1271, 1362, 540, 5061, 609, 1761, 7839, 3156, 538, 519, 2126, 540, 3676, 543, 519, 2126, 540, 5563, 538, 3425, 543, 824, 2831, 269, 715, 16197, 545, 3679, 5061, 1331, 24431, 1619, 23731, 31265, 582, 1938, 543, 23313, 11748, 630, 11748, 13779, 264, 5061, 269, 1879, 891, 5061, 616, 4294, 1283, 1227, 267, 789, 616, 3144, 909, 883, 2281, 540, 519, 3077, 5160, 676, 1439, 26014, 2670, 269, 589, 31332, 3679, 3075, 602, 568, 3144, 909, 676, 606, 29296, 31332, 3679, 13805, 786, 581, 5827, 540, 15025, 609, 922, 29296, 3077, 269, 634, 5872, 786, 2049, 538, 519, 1591, 32594, 543, 949, 1267, 538, 519, 11852, 540, 519, 1591, 2669, 13374, 269, 589, 31332, 3679, 3075, 602, 568, 3144, 909, 883, 2281, 676, 606, 29414, 13805, 786, 581, 2111, 547, 2170, 609, 922, 29414, 3077, 543, 949, 581, 5827, 540, 1437, 908, 519, 1591, 2669, 13374, 563, 303, 3766, 569, 19817, 4710, 514, 630, 303, 3766, 335, 264, 568, 519, 1292, 2498, 12999, 6802, 585, 1082, 24802, 1271, 5061, 543, 31332, 3679, 5061, 267, 1312, 538, 20117, 543, 538, 24155, 269, 1280, 1383, 267, 2101, 5061, 267, 971, 607, 31390, 26569, 1314, 601, 267, 798, 343, 528, 889, 545, 514, 267, 543, 13005, 684, 528, 889, 545, 514, 267, 602, 616, 16487, 676, 623, 3766, 335, 616, 1142, 1634, 547, 581, 24802, 3742, 1996, 513, 1297, 540, 10510, 2010, 269, 769, 1840, 267, 7213, 6819, 2963, 2982, 602, 31332, 3679, 5061, 616, 849, 26828, 585, 623, 3766, 335, 267, 543, 31332, 3679, 5061, 9447, 547, 513, 3077, 5160, 585, 8156, 519, 3077, 5160, 4043, 547, 581, 1641, 547, 2498, 12999, 676, 623, 3766, 335, 543, 824, 2498, 12999, 15450, 538, 519, 3077, 5160, 269, 623, 3766, 335, 17767, 519, 3075, 607, 513, 14041, 543, 15450, 519, 3075, 856, 540, 519, 1591, 563, 288, 3075, 602, 568, 513, 14041, 585, 623, 3766, 335, 568, 4061, 3335, 16934, 689, 1585, 8031, 267, 971, 607, 519, 3844, 8401, 1062, 630, 290, 10064, 1070, 543, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 1040, 634, 17181, 540, 5061, 689, 519, 2634, 568, 17941, 968, 25218, 8401, 1062, 630, 290, 10064, 264, 2427, 2360, 6100, 634, 17181, 540, 5061, 689, 519, 645, 17668, 568, 17941, 968, 14528, 17219, 9731, 300, 525, 26067, 2096, 531, 588, 668, 531, 2281, 630, 5960, 12336, 264, 616, 513, 1826, 540, 1875, 3620, 320, 14670, 641, 16211, 2045, 267, 6687, 582, 550, 1591, 602, 568, 1419, 1336, 538, 519, 5642, 20768, 269, 634, 9049, 12336, 1599, 607, 513, 7293, 1489, 1770, 267, 2226, 519, 688, 14670, 641, 16211, 2045, 6565, 2281, 543, 1404, 513, 1909, 538, 519, 7816, 540, 8697, 8031, 543, 8219, 267, 971, 607, 1973, 8043, 267, 5642, 267, 20162, 267, 3170, 267, 5642, 20768, 543, 4887, 269, 769, 519, 2126, 540, 2068, 610, 8194, 267, 519, 6565, 2281, 949, 581, 16220, 454, 21902, 21976, 1280, 8281, 1677, 26598, 12229, 912, 4263, 519, 4090, 972, 616, 1100, 1634, 2152, 609, 713, 1110, 267, 855, 1832, 538, 2247, 621, 729, 3710, 585, 1250, 1378, 946, 543, 594, 993, 1100, 6392, 593, 621, 610, 1022, 540, 621, 779, 2934, 267, 865, 952, 1945, 9397, 585, 596, 1287, 621, 729, 513, 12161, 602, 666, 581, 3362, 6378, 563, 1607, 1110, 3340, 3733, 5890, 11228, 4826, 3143, 14794, 676, 715, 4157, 518, 267, 799, 596, 666, 4647, 1934, 563, 1607, 1110, 30283, 782, 519, 24470, 538, 519, 3014, 609, 519, 3312, 5736, 20004, 5036, 267, 4849, 585, 519, 835, 20004, 1305, 538, 1312, 519, 8606, 0, 294, 2958, 590, 1794, 9874, 267, 5369, 12278, 8648, 281, 1411, 666, 1406, 1930, 513, 11356, 610, 19584, 513, 1072, 3896, 891, 2395, 1510, 7487, 519, 5767, 30437, 16499, 11102, 547, 519, 2640, 540, 9066, 2866, 269, 8616, 1152, 513, 1507, 15410, 540, 24004, 28748, 2965, 2259, 9066, 267, 543, 7864, 1869, 6451, 4656, 2866, 883, 741, 1907, 6539, 538, 8156, 741, 2550, 269, 898, 779, 711, 607, 952, 972, 814, 1044, 606, 9000, 540, 3007, 547, 9066, 538, 519, 2790, 1072, 2146, 269, 634, 1568, 540, 3220, 338, 13744, 28763, 520, 19053, 4883, 267, 4460, 9210, 7322, 267, 9370, 3873, 7412, 7315, 267, 543, 1866, 607, 1134, 607, 811, 2487, 1382, 723, 18674, 9066, 779, 993, 601, 1640, 894, 1198, 593, 6693, 17595, 1108, 543, 9066, 454, 20694, 17793, 1457, 320, 267, 645, 4916, 3194, 6226, 652, 281, 16723, 1382, 883, 9066, 814, 11566, 569, 5059, 593, 922, 5042, 4539, 267, 6236, 519, 2259, 607, 513, 2186, 540, 2866, 585, 3007, 543, 7180, 1852, 267, 1927, 609, 2566, 10970, 2747, 269, 1809, 31658, 5389, 1118, 2484, 9962, 6811, 585, 9066, 267, 971, 607, 602, 621, 2337, 9439, 11349, 6161, 585, 519, 10304, 540, 1866, 269, 589, 1007, 1353, 538, 519, 4760, 32313, 7028, 713, 5133, 267, 1210, 513, 11826, 2268, 540, 3929, 3210, 547, 1397, 4191, 540, 8476, 8296, 1739, 14021, 267, 1279, 3856, 9066, 563, 292, 27996, 25347, 6199, 693, 519, 2160, 540, 4993, 267, 16026, 543, 1200, 6693, 13051, 16511, 7773, 267, 18726, 17402, 5741, 281, 769, 519, 1158, 540, 21911, 543, 18465, 2134, 1108, 267, 11009, 814, 4810, 513, 16854, 2179, 540, 3007, 5063, 2443, 6140, 1317, 538, 1082, 540, 519, 2591, 540, 519, 2247, 621, 568, 2322, 909, 1996, 267, 11009, 814, 535, 1563, 1360, 1134, 2443, 7900, 607, 1134, 607, 630, 528, 1732, 982, 264, 3075, 11257, 538, 930, 2665, 563, 21790, 6888, 568, 31045, 676, 519, 1977, 9839, 5948, 630, 288, 11190, 264, 607, 513, 15324, 3797, 585, 9025, 2068, 543, 789, 849, 4363, 11009, 607, 513, 4640, 585, 31952, 11661, 563, 4913, 267, 585, 13500, 543, 2550, 547, 4628, 12260, 6693, 1607, 568, 513, 1455, 2606, 3635, 538, 11009, 1107, 513, 2259, 6508, 689, 14418, 9066, 602, 3322, 9878, 3007, 547, 519, 6693, 298, 987, 787, 333, 667, 1195, 548, 267, 1234, 26407, 281, 20390, 30105, 8655, 547, 513, 11009, 9066, 1982, 7902, 547, 723, 9283, 538, 3965, 538, 513, 2487, 1353, 563, 2108, 4322, 2164, 616, 5812, 609, 513, 3395, 1560, 540, 1382, 538, 4079, 602, 814, 1336, 11009, 9066, 547, 581, 513, 5363, 1907, 585, 7393, 2324, 3965, 4390, 2223, 1767, 26701, 523, 661, 269, 808, 770, 4900, 7288, 2494, 334, 540, 519, 6530, 8257, 693, 519, 2160, 540, 595, 32385, 10620, 267, 945, 1071, 2246, 23482, 519, 1007, 1353, 563, 763, 3173, 14477, 5258, 476, 2735, 1857, 1647, 1153, 1053, 883, 1614, 2516, 281, 11009, 9066, 267, 554, 24048, 10649, 610, 513, 7227, 4289, 269, 4107, 1053, 941, 4775, 267, 6502, 476, 1321, 547, 476, 1428, 267, 543, 689, 1970, 13867, 10820, 602, 11727, 585, 4389, 21057, 12899, 563, 6524, 519, 1353, 3459, 543, 6693, 3080, 540, 519, 1034, 4277, 2090, 594, 4076, 2479, 2938, 729, 676, 6276, 6755, 928, 321, 6033, 267, 513, 2160, 540, 7147, 6530, 7548, 267, 543, 1744, 27553, 654, 2830, 8124, 853, 597, 2006, 267, 945, 568, 1631, 12314, 7548, 540, 2618, 17226, 693, 11785, 2160, 3427, 540, 6925, 563, 22437, 1115, 616, 3226, 12155, 547, 2921, 741, 1378, 2729, 267, 543, 6755, 928, 321, 6033, 543, 853, 597, 2006, 941, 5461, 547, 1294, 952, 519, 12591, 540, 15023, 945, 1185, 7166, 2933, 8659, 10409, 10881, 602, 1223, 723, 10567, 741, 12556, 269, 1358, 20083, 1927, 267, 676, 2085, 267, 5736, 267, 22874, 267, 3872, 4282, 267, 543, 3023, 267, 15023, 945, 1185, 543, 1185, 711, 7166, 2933, 267, 543, 10443, 741, 1568, 998, 513, 2780, 1982, 602, 6743, 585, 3270, 538, 519, 1893, 789, 1031, 563, 1432, 789, 1336, 729, 602, 519, 15023, 945, 1185, 7166, 2933, 941, 2484, 811, 1582, 18022, 22460, 982, 1346, 945, 22821, 1406, 269, 9406, 689, 519, 4098, 267, 1346, 945, 8694, 909, 22867, 11980, 1031, 519, 1913, 968, 296, 2223, 968, 1889, 2223, 543, 968, 3240, 892, 538, 741, 12591, 2484, 811, 1419, 982, 1346, 945, 5747, 6923, 610, 616, 1869, 9800, 269, 4746, 267, 519, 29047, 15023, 2968, 5051, 1582, 18022, 22460, 607, 942, 5293, 267, 1210, 1101, 1268, 13737, 21770, 811, 543, 811, 1419, 267, 1318, 909, 2394, 789, 3576, 741, 1378, 2729, 563, 22437, 1115, 945, 4769, 1406, 6146, 2933, 267, 593, 519, 824, 1688, 267, 1031, 1346, 1913, 811, 10355, 267, 543, 3079, 5219, 811, 1419, 547, 968, 933, 2223, 968, 639, 2223, 543, 968, 2293, 892, 1765, 6919, 602, 7842, 513, 2631, 540, 4276, 269, 1656, 1346, 1913, 941, 1031, 811, 543, 811, 1419, 936, 519, 1576, 540, 741, 2729, 563, 8512, 540, 938, 14555, 6645, 721, 602, 952, 649, 1616, 547, 581, 6126, 649, 991, 547, 1445, 593, 968, 15893, 835, 1848, 1656, 2943, 267, 607, 519, 16452, 715, 559, 26856, 5152, 3081, 267, 968, 3080, 568, 519, 10693, 601, 5006, 1297, 1848, 4045, 532, 609, 1866, 267, 543, 3976, 4227, 938, 1445, 593, 6000, 267, 568, 606, 1271, 1106, 540, 3929, 10889, 1359, 267, 4543, 721, 547, 4308, 609, 1272, 779, 22705, 543, 17498, 267, 543, 849, 3246, 519, 3638, 543, 16138, 5109, 1995, 540, 15962, 543, 1373, 6068, 269, 8409, 945, 31028, 543, 11198, 883, 2933, 1995, 3152, 7092, 267, 547, 519, 6708, 602, 1272, 666, 1831, 30898, 792, 762, 563, 3383, 1018, 1281, 713, 2995, 721, 827, 1582, 16327, 6842, 286, 2991, 782, 267, 3884, 1406, 519, 2262, 968, 1345, 892, 1318, 972, 538, 519, 2012, 286, 6496, 713, 1611, 602, 2519, 593, 6000, 1522, 2965, 1118, 721, 1447, 6126, 888, 1103, 1582, 16327, 6842, 267, 835, 851, 540, 721, 15920, 8296, 547, 513, 7092, 851, 540, 6000, 267, 711, 1317, 519, 7092, 851, 540, 721, 568, 513, 851, 540, 721, 267, 855, 3274, 1317, 8296, 568, 519, 3617, 3210, 547, 1928, 269, 898, 3085, 1406, 2965, 2339, 2436, 519, 7092, 568, 3330, 721, 610, 3544, 721, 267, 851, 540, 721, 610, 711, 851, 540, 721, 9789, 17519, 851, 540, 721, 814, 8296, 585, 7092, 1317, 602, 779, 1018, 7092, 2115, 563, 1103, 513, 1259, 972, 779, 1100, 971, 3364, 607, 968, 1345, 16327, 6842, 1848, 1703, 779, 1175, 968, 4818, 6842, 1848, 1703, 779, 1175, 519, 7287, 547, 1416, 585, 4376, 602, 779, 7092, 267, 543, 547, 4894, 519, 7092, 952, 2009, 267, 609, 1100, 2543, 547, 2436, 621, 779, 968, 712, 892, 7092, 610, 711, 269, 1635, 14237, 8296, 585, 7092, 1369, 6000, 267, 649, 8850, 1831, 811, 17519, 4724, 1866, 267, 543, 3976, 1831, 811, 4448, 547, 873, 267, 543, 3976, 1831, 18668, 269, 2060, 1582, 16327, 6842, 649, 1810, 1406, 1294, 6000, 607, 1114, 689, 1866, 1317, 540, 938, 7092, 267, 855, 1294, 6000, 607, 4448, 547, 1866, 1317, 649, 782, 7985, 563, 25486, 700, 4157, 1080, 267, 9931, 9335, 4750, 281, 654, 4770, 519, 8286, 949, 581, 513, 10375, 19140, 585, 7670, 3754, 8186, 267, 513, 1353, 538, 519, 4760, 24238, 5267, 269, 634, 1353, 1336, 602, 11067, 8286, 2247, 2685, 1765, 325, 1371, 532, 593, 519, 9329, 540, 519, 12853, 267, 543, 519, 3337, 543, 1745, 540, 519, 8286, 267, 585, 1383, 1765, 338, 20138, 14688, 4389, 8401, 1145, 543, 2799, 2790, 14242, 538, 8670, 13195, 1667, 3379, 609, 513, 1852, 1895, 563, 21790, 995, 8670, 31290, 849, 15398, 519, 2631, 540, 942, 5418, 553, 12350, 569, 23646, 1524, 269, 5525, 723, 2404, 12012, 942, 8226, 609, 3152, 5626, 1134, 5630, 267, 519, 3173, 1767, 563, 21790, 6888, 4016, 1312, 547, 513, 12560, 5042, 1533, 543, 513, 2442, 1106, 540, 9354, 9066, 602, 1608, 916, 519, 2247, 6693, 305, 12505, 631, 269, 15281, 655, 773, 322 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 1015, 994, 328, 815, 476, 271, 454, 339, 273, 815, 1592, 6025, 272, 994, 2745, 630, 339, 273, 994, 2745, 630, 339, 272, 994, 12163, 1721, 512, 538, 512, 272, 10778, 825, 1820, 630, 339, 994, 825, 512, 273, 815, 512, 273, 27044, 9217, 267, 512, 994, 825, 1948, 512, 273, 5157, 316, 815, 512, 454, 825, 1775, 6834, 476, 272, 692, 339, 272, 314, 272, 316, 815, 476, 275, 454, 2745, 630, 339, 273, 994, 18851, 0, 321, 272, 815, 6936, 1948, 1630, 18978, 454, 321, 272, 815, 8771, 692, 1415, 2251, 4692, 6826, 22517, 18978, 815, 6936, 692, 258, 1630, 18978, 666, 692, 345, 272, 815, 834, 12148, 257, 1948, 21642, 454, 345, 273, 815, 834, 16178, 5016, 604, 536, 272, 912, 825, 1820, 2891, 22517, 18978, 568, 3020, 5602, 12828, 912, 825, 1820, 2891, 22517, 18978, 568, 7301, 15419, 3698, 1039, 19617, 3287, 272, 267, 1535, 273, 267, 1535, 274, 2187, 825, 952, 1535, 274, 2652, 630, 343, 272, 1341, 1535, 273, 2187, 1038, 2132, 834, 12148, 4840, 825, 3116, 912, 1038, 2132, 834, 16178, 5016, 4958, 272, 815, 1039, 19617, 263, 1839, 267, 4817, 267, 6344, 994, 2745, 263, 4958, 272, 994, 4958, 273, 815, 1039, 19617, 263, 10219, 267, 4817, 267, 19442, 994, 2745, 263, 4958, 273, 2020, 604, 1427, 272, 2652, 834, 12148, 13426, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 15419, 604, 1427, 273, 2652, 834, 12148, 13426, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 15419, 3698, 1039, 19617, 22517, 18978, 3287, 272, 267, 1535, 273, 267, 1535, 274, 2187, 825, 952, 1535, 274, 2652, 630, 343, 272, 1341, 1535, 273, 2187, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 4958, 272, 815, 1039, 19617, 22517, 18978, 263, 1839, 267, 4817, 267, 6344, 994, 4958, 273, 815, 1039, 19617, 22517, 18978, 263, 10219, 267, 4817, 267, 19442, 2020, 604, 1427, 272, 912, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 15419, 604, 1427, 273, 912, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 8442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1648, 9131, 21328, 18242, 829, 7167, 7534, 11172, 815, 1648, 9131, 21328, 18242, 829, 7167, 7534, 11172, 2608, 476, 1911, 1822, 271, 22562, 825, 1948, 935, 3200, 782, 1412, 1862, 262, 1239, 547, 5286, 8542, 534, 454, 825, 1648, 9131, 21328, 18242, 11172, 815, 1648, 9131, 21328, 18242, 262, 4940, 935, 3200, 318, 15953, 338, 263, 935, 3200, 5332, 10179, 545, 18989, 994, 825, 1648, 9131, 21328, 18242, 829, 7167, 7534, 11172, 815, 1648, 9131, 21328, 18242, 829, 7167, 7534, 262, 4940, 935, 3200, 318, 15953, 338, 263, 935, 3200, 5332, 10179, 545, 18989, 994, 825, 1648, 22562, 825, 1948, 1066, 877, 2477, 454, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 16868, 262, 314, 271, 268, 280, 316, 3299, 1412, 5073, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 16868, 262, 1422, 263, 30818, 315, 264, 3299, 1412, 5073, 8931, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 11847, 3016, 540, 9705, 2580, 834, 21026, 9705, 5602, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 18197, 2276, 540, 3013, 2580, 834, 18197, 2276, 5602, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 18197, 8003, 540, 4279, 6628, 543, 8832, 8581, 2580, 834, 18197, 8003, 5602, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 19770, 267, 15173, 15158, 7981, 8556, 13577, 16323, 2580, 834, 295, 784, 15158, 5602, 8931, 825, 1948, 14140, 476, 274, 9343, 616, 10145, 267, 476, 275, 628, 814, 519, 6241, 4408, 269, 849, 6749, 1022, 3515, 602, 616, 782, 14255, 454, 825, 12654, 815, 19073, 18667, 32269, 3488, 16447, 10734, 1678, 27406, 3299, 18178, 4900, 284, 274, 267, 20927, 18989, 994, 825, 12654, 6155, 1886, 3534, 263, 6011, 6889, 718, 2580, 538, 2897, 18989, 994, 8931, 825, 1948, 1066, 877, 2197, 2418, 454, 825, 12654, 9131, 15575, 787, 8745, 11172, 815, 12654, 9131, 15575, 787, 8745, 262, 4940, 1598, 18622, 2897, 2891, 298, 648, 320, 267, 3115, 1701, 267, 834, 21026, 9705, 5602, 825, 12654, 9131, 15575, 787, 8745, 11172, 815, 12654, 9131, 15575, 787, 8745, 262, 4940, 1598, 18622, 2897, 2891, 296, 3757, 267, 9099, 3115, 1701, 267, 834, 296, 3757, 5602, 825, 12654, 9131, 15575, 787, 8745, 11172, 815, 12654, 9131, 15575, 787, 8745, 262, 4940, 1598, 18622, 2897, 2891, 295, 784, 15158, 590, 2752, 267, 3624, 2580, 834, 295, 784, 15158, 5602, 8931, 825, 1948, 18431, 17093, 910, 11634, 328, 6210, 530, 13474, 454, 825, 2480, 574, 5319, 815, 19073, 18667, 318, 1410, 4897, 3488, 2675, 574, 6210, 329, 337, 268, 274, 11859, 3149, 343, 5073, 8931, 825, 1948, 1015, 269, 15012, 519, 1614, 14449, 281, 12654, 267, 6052, 267, 543, 2480, 574, 5319, 883, 513, 1007, 10471, 3097, 825, 1948, 1015, 321, 269, 630, 6748, 519, 10167, 540, 2197, 4408, 994, 825, 1948, 326, 1161, 513, 20868, 5048, 6031, 621, 1705, 660, 6460, 873, 607, 27033, 1712, 267, 14648, 21376, 454, 825, 824, 273, 815, 19073, 269, 1067, 613, 263, 24479, 267, 12654, 267, 875, 8782, 3847, 3299, 2451, 318, 517, 6889, 15575, 787, 2580, 1318, 318, 517, 6889, 15575, 787, 8745, 5602, 825, 17093, 815, 19073, 269, 1067, 613, 263, 9928, 574, 5319, 267, 824, 273, 267, 875, 8782, 3847, 3299, 2451, 318, 517, 6889, 15575, 787, 2580, 1318, 318, 517, 6889, 15575, 787, 5602, 8931, 825, 1948, 1015, 322, 269, 2422, 1152, 519, 2063, 476, 1015, 1296, 630, 1220, 277, 268, 1001, 276, 264, 540, 12654, 1239, 543, 3097, 825, 1948, 1015, 323, 269, 1152, 519, 1283, 476, 1428, 2477, 676, 2480, 574, 6210, 329, 337, 1412, 305, 1678, 262, 630, 305, 1678, 476, 272, 998, 476, 1428, 1916, 825, 1832, 815, 18358, 15575, 787, 3299, 1412, 305, 1678, 3299, 1412, 291, 665, 3701, 3299, 1412, 290, 3386, 6054, 3299, 1412, 290, 14591, 3299, 1412, 20236, 2275, 14591, 3299, 315, 454, 825, 1412, 290, 14591, 829, 3561, 3299, 1412, 295, 4994, 3299, 1412, 21328, 18242, 3299, 315, 454, 825, 1412, 21328, 18242, 829, 7167, 7534, 3299, 1412, 260, 24997, 3299, 1412, 1220, 277, 3299, 1412, 1220, 278, 3299, 1412, 1220, 279, 3299, 315, 454, 825, 1412, 1220, 280, 3299, 1412, 1001, 271, 3299, 1412, 1001, 272, 3299, 1412, 1001, 273, 3299, 1412, 1001, 274, 3299, 1412, 1001, 275, 3299, 1412, 1001, 276, 23300, 825, 17093, 815, 17093, 314, 18141, 2639, 825, 2132, 7003, 29254, 994, 24987, 4671, 6851, 10797, 258, 2999, 1962, 11417, 258, 3097, 258, 8382, 519, 1739, 2055, 585, 1152, 519, 1283, 476, 1428, 2477, 676, 2480, 574, 6210, 329, 337, 24419, 3097, 258, 263, 10440, 519, 4578, 20988, 8120, 676, 2387, 24987, 318, 821, 13237, 2020, 258, 12693, 7726, 476, 274, 630, 277, 269, 277, 260, 994, 258, 1548, 568, 519, 3328, 12654, 936, 519, 2063, 476, 1015, 1296, 585, 1142, 2197, 286, 3097, 258, 263, 1410, 2850, 7508, 2418, 689, 713, 9819, 8094, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 10022, 3957, 2387, 822, 326, 294, 7894, 319, 609, 476, 1428, 2477, 3097, 258, 13263, 741, 3328, 12654, 15044, 538, 27312, 1931, 269, 22177, 258, 769, 314, 9948, 912, 344, 8986, 271, 815, 22373, 1001, 276, 2580, 834, 1001, 275, 2580, 834, 1001, 274, 2580, 834, 1001, 273, 2580, 834, 1001, 272, 2580, 834, 1001, 271, 2580, 834, 1220, 280, 2580, 834, 1220, 279, 2580, 834, 1220, 278, 2580, 834, 1220, 277, 31116, 344, 8986, 815, 17093, 314, 344, 8986, 271, 2639, 822, 326, 294, 7894, 815, 1296, 27904, 263, 9471, 284, 272, 8358, 344, 8986, 29644, 263, 9471, 284, 272, 994, 822, 326, 294, 7894, 31699, 263, 2444, 2056, 25716, 2020, 3698, 2626, 318, 22764, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 1296, 271, 815, 22373, 1001, 276, 2580, 834, 1001, 275, 2580, 834, 1001, 274, 2580, 834, 1001, 273, 2580, 834, 1001, 272, 2580, 834, 1001, 271, 2580, 834, 1220, 280, 2580, 834, 1220, 279, 2580, 834, 1220, 278, 2580, 834, 1220, 277, 31116, 825, 1296, 815, 5440, 1428, 314, 344, 8986, 271, 2639, 825, 1285, 326, 294, 7894, 815, 1296, 27904, 263, 9471, 284, 272, 8358, 344, 8986, 29644, 263, 9471, 284, 272, 994, 825, 1285, 326, 294, 7894, 31699, 263, 2444, 2056, 25716, 994, 825, 2132, 1285, 326, 294, 7894, 454, 24987, 318, 22764, 10797, 258, 12693, 7726, 476, 275, 630, 277, 269, 277, 260, 994, 258, 1635, 875, 1454, 1185, 519, 12654, 4957, 936, 519, 476, 1015, 1032, 12732, 3097, 258, 1721, 519, 2197, 609, 519, 476, 277, 628, 4102, 3328, 12654, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 1297, 269, 22177, 258, 769, 314, 9948, 1384, 692, 3698, 2626, 6958, 712, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 20410, 14682, 31389, 318, 4219, 815, 17093, 7456, 665, 9131, 18197, 8003, 3299, 1412, 1001, 276, 11172, 910, 17093, 7456, 665, 9131, 18197, 8003, 3299, 1412, 1220, 277, 23300, 825, 2132, 20410, 14682, 31389, 318, 4219, 454, 24987, 6958, 712, 10797, 258, 12693, 7726, 476, 276, 630, 277, 269, 277, 260, 994, 258, 1548, 568, 519, 1611, 2387, 21328, 18242, 829, 7167, 7534, 319, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 1297, 269, 22177, 258, 769, 314, 9948, 1384, 4206, 9131, 21328, 18242, 829, 7167, 7534, 262, 4940, 11743, 10797, 3698, 2626, 6958, 633, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 2132, 5440, 1428, 9131, 21328, 18242, 829, 7167, 7534, 262, 4940, 11743, 4590, 24987, 6958, 633, 10797, 258, 12693, 7726, 476, 277, 630, 277, 269, 277, 260, 994, 258, 1548, 2197, 814, 519, 5021, 4939, 24997, 543, 1018, 568, 519, 6871, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 24042, 609, 519, 2012, 540, 519, 2197, 543, 519, 6871, 269, 22177, 258, 769, 314, 9948, 912, 29254, 9131, 260, 24997, 262, 4940, 30915, 10946, 19572, 17093, 7456, 665, 314, 4206, 9131, 260, 24997, 262, 4940, 30915, 10946, 3890, 6012, 262, 260, 24997, 11172, 9239, 3698, 2626, 5334, 1460, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 2132, 630, 12749, 1428, 9131, 260, 24997, 262, 4940, 30915, 10946, 19572, 5440, 1428, 7456, 665, 314, 12749, 1428, 9131, 260, 24997, 262, 4940, 30915, 10946, 3890, 6012, 262, 260, 24997, 262, 7481, 24987, 5334, 1460, 10797, 258, 12693, 7726, 476, 278, 630, 277, 269, 277, 260, 994, 258, 8073, 513, 1007, 6241, 602, 568, 519, 5223, 540, 8682, 4211, 14591, 547, 11192, 13022, 725, 269, 3097, 258, 1548, 568, 519, 5021, 1871, 585, 713, 1007, 6241, 267, 543, 1018, 2197, 814, 519, 5207, 5223, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 24042, 609, 519, 2012, 540, 519, 2197, 543, 519, 5223, 269, 22177, 258, 769, 314, 9948, 912, 4206, 9131, 1345, 6831, 924, 7272, 551, 11172, 815, 17093, 9131, 20236, 2275, 14591, 11172, 1315, 17093, 9131, 290, 14591, 23300, 29254, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 19572, 17093, 7456, 665, 314, 4206, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 3890, 6012, 262, 1345, 6831, 924, 7272, 551, 11172, 2020, 3698, 2626, 26000, 1597, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 5440, 1428, 9131, 1345, 6831, 924, 7272, 551, 11172, 815, 5440, 1428, 9131, 20236, 2275, 14591, 11172, 1315, 5440, 1428, 9131, 290, 14591, 23300, 825, 2132, 630, 12749, 1428, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 19572, 5440, 1428, 7456, 665, 314, 12749, 1428, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 3890, 6012, 262, 1345, 6831, 924, 7272, 551, 262, 7481, 24987, 26000, 1597, 30800, 258, 12693, 7726, 476, 279, 630, 277, 269, 277, 260, 994, 258, 3097, 258, 8073, 513, 6241, 602, 9193, 519, 17069, 333, 1210, 6052, 18242, 543, 6052, 18242, 829, 21027, 269, 3097, 258, 1548, 568, 519, 3791, 1034, 29245, 2197, 2687, 547, 713, 7447, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 5569, 1871, 269, 22177, 258, 769, 314, 9948, 1384, 258, 14585, 337, 536, 342, 2551, 543, 1648, 3761, 267, 1287, 536, 11320, 1648, 3761, 829, 21027, 888, 4206, 9131, 16647, 11172, 815, 476, 1911, 1822, 1822, 1822, 16732, 4206, 9131, 21328, 18242, 829, 7167, 7534, 11172, 1315, 17093, 9131, 21328, 18242, 11172, 2020, 258, 274, 6113, 1034, 20651, 18040, 2969, 454, 4565, 320, 815, 17093, 9131, 16647, 262, 4940, 32476, 4590, 4565, 320, 31699, 4590, 4565, 320, 314, 273, 6540, 258, 2254, 1031, 2943, 454, 4206, 9131, 16647, 262, 4940, 14585, 337, 29254, 9131, 21328, 18242, 262, 7481, 4206, 9131, 16647, 262, 4940, 14585, 337, 29254, 9131, 21328, 18242, 829, 7167, 7534, 11172, 2020, 258, 692, 3698, 2626, 21223, 697, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 5440, 1428, 9131, 16647, 11172, 815, 476, 1911, 1822, 1822, 1822, 16732, 12749, 1428, 9131, 21328, 18242, 829, 7167, 7534, 11172, 1315, 17093, 9131, 21328, 18242, 262, 7481, 825, 1025, 320, 815, 17093, 9131, 16647, 262, 4940, 32476, 4590, 825, 1025, 320, 31699, 4590, 825, 2132, 1025, 320, 314, 273, 2639, 24987, 21223, 697, 10797, 258, 12693, 7726, 476, 280, 630, 277, 269, 277, 260, 994, 258, 8073, 513, 6241, 602, 9193, 519, 1297, 540, 524, 3386, 6054, 829, 1268, 269, 3097, 258, 1548, 568, 519, 9756, 1063, 519, 1297, 540, 524, 3386, 6054, 829, 21027, 543, 3097, 258, 1492, 1648, 3761, 829, 21027, 286, 3097, 258, 8196, 519, 2387, 269, 14585, 337, 13237, 1505, 267, 630, 303, 792, 5459, 781, 9756, 1916, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 1297, 269, 20330, 258, 3097, 258, 2608, 263, 18893, 1308, 281, 2422, 519, 3710, 2987, 1599, 2387, 7120, 280, 13237, 547, 14650, 519, 2078, 1063, 6052, 18242, 829, 7167, 7534, 5288, 269, 595, 3386, 2703, 338, 829, 7167, 7534, 12684, 692, 258, 769, 314, 9948, 1384, 4206, 9131, 322, 3386, 5091, 665, 338, 30648, 318, 5115, 7534, 11172, 815, 17093, 9131, 290, 14591, 11172, 270, 4206, 9131, 16647, 23300, 4206, 9131, 322, 3386, 5091, 665, 338, 30648, 318, 5115, 7534, 262, 4940, 14585, 337, 29254, 9131, 21328, 18242, 262, 7481, 258, 7120, 280, 29254, 9131, 322, 3386, 5091, 665, 338, 30648, 318, 5115, 7534, 28710, 17093, 9131, 21328, 18242, 11172, 2020, 3698, 2626, 5332, 710 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 1265, 602, 621, 568, 1279, 18835, 267, 621, 949, 581, 513, 1129, 540, 2860, 267, 4966, 2161, 563, 7343, 21043, 2860, 267, 513, 4686, 30279, 3599, 23608, 538, 519, 30569, 267, 513, 1507, 1418, 2282, 519, 4098, 540, 519, 1804, 16892, 267, 13514, 513, 2189, 4161, 547, 2564, 9439, 543, 2550, 7567, 3267, 29819, 547, 1832, 538, 9650, 269, 3267, 2755, 30569, 2860, 568, 5266, 4686, 267, 621, 568, 2629, 547, 581, 3222, 540, 519, 9963, 4191, 563, 310, 23808, 5058, 307, 2177, 630, 4338, 264, 2443, 634, 5253, 543, 10684, 10029, 593, 11016, 9788, 856, 513, 11556, 547, 2253, 15725, 8047, 2564, 4255, 267, 513, 1617, 756, 11669, 1673, 20683, 2872, 602, 519, 8116, 3081, 13514, 513, 3395, 1981, 547, 2550, 1317, 540, 5732, 25619, 2164, 3267, 14294, 5455, 585, 938, 2887, 5026, 20394, 3267, 17897, 531, 3828, 823, 513, 3018, 6178, 5455, 4653, 563, 21691, 823, 543, 1199, 923, 14733, 1200, 2669, 693, 519, 6429, 693, 1472, 476, 1015, 269, 3393, 10975, 267, 855, 2055, 723, 30174, 1614, 2395, 1310, 1352, 729, 4362, 3267, 1530, 4705, 13310, 14569, 941, 1336, 3330, 519, 4055, 267, 2959, 5143, 476, 277, 27398, 267, 4946, 602, 1352, 729, 593, 1412, 13367, 531, 6527, 9538, 3267, 1703, 941, 1100, 4191, 540, 4429, 7804, 269, 3933, 1664, 589, 3267, 3412, 9712, 622, 1920, 3267, 6481, 4255, 267, 646, 1767, 267, 4951, 606, 11506, 3940, 1377, 538, 1010, 1973, 267, 711, 513, 1434, 1129, 3267, 1937, 572, 1129, 3267, 1809, 1310, 711, 6005, 674, 523, 3118, 5244, 781, 13343, 3240, 8750, 1129, 1282, 513, 4414, 1924, 343, 13739, 267, 646, 4956, 1946, 711, 3267, 5839, 291, 10735, 1767, 19134, 2917, 5174, 3497, 5143, 1864, 602, 2564, 2257, 568, 3478, 2673, 547, 513, 10826, 585, 24869, 5448, 267, 5310, 1369, 513, 1906, 1296, 563, 29587, 4323, 4191, 538, 2021, 616, 3006, 1114, 982, 602, 540, 2367, 1813, 547, 799, 789, 949, 711, 581, 8995, 538, 942, 3267, 1717, 267, 2021, 949, 1205, 891, 4191, 4374, 1354, 513, 2295, 4323, 543, 713, 666, 581, 5732, 12468, 3058, 3267, 6468, 4043, 547, 1524, 2452, 891, 4191, 610, 14487, 873, 547, 824, 3123, 267, 3056, 547, 16607, 2564, 3007, 563, 1103, 606, 27314, 2490, 540, 2621, 267, 7189, 693, 5709, 640, 11233, 538, 23570, 781, 631, 7541, 1336, 2933, 5185, 609, 513, 29737, 2564, 9814, 1282, 6391, 593, 513, 476, 2412, 4458, 6040, 3461, 3267, 2060, 1010, 7181, 9636, 6029, 1100, 4191, 540, 705, 908, 267, 2564, 4648, 1904, 539, 547, 2932, 606, 2473, 11920, 6514, 547, 22942, 519, 2707, 540, 1010, 989, 3415, 563, 4596, 17162, 310, 2969, 2207, 2443, 5046, 268, 866, 5563, 616, 1869, 856, 538, 519, 2146, 3267, 297, 24944, 1261, 987, 288, 11765, 32317, 13628, 3267, 18554, 707, 2589, 269, 1403, 596, 723, 606, 6595, 9963, 1129, 899, 8373, 7244, 267, 3343, 6595, 2564, 1416, 5612, 269, 1411, 1590, 581, 8611, 6954, 585, 476, 2190, 3108, 1510, 1210, 8611, 3146, 706, 1424, 6646, 267, 543, 707, 2589, 616, 5355, 547, 1439, 10072, 563, 8248, 629, 1328, 307, 11698, 3267, 309, 12317, 1834, 1185, 513, 9864, 6676, 540, 968, 3201, 10998, 269, 589, 2267, 16014, 4092, 519, 4775, 543, 19443, 1200, 547, 519, 6728, 547, 7227, 585, 513, 11878, 3267, 693, 476, 1015, 269, 3393, 513, 6230, 3267, 634, 1289, 518, 729, 6035, 855, 15189, 2417, 2564, 6351, 3267, 476, 273, 538, 22118, 333, 3267, 634, 4651, 729, 679, 8905, 689, 8355, 951, 543, 9896, 513, 2564, 30671, 950, 646, 8452, 269, 13723, 3267, 634, 1268, 15189, 2564, 3007, 3267, 4586, 29819, 543, 2589, 540, 3987, 267, 6045, 3267, 3371, 616, 519, 4191, 543, 2589, 3267, 4014, 713, 949, 581, 513, 9963, 1129, 540, 3987, 267, 621, 568, 849, 513, 13598, 2427, 1198, 585, 824, 3676, 267, 6527, 610, 19824, 3267, 1403, 596, 616, 7680, 1022, 540, 891, 9963, 4191, 267, 621, 568, 1271, 547, 581, 8995, 676, 513, 2564, 3318, 563, 3719, 649, 941, 28280, 2443, 1166, 629, 6199, 16556, 267, 1256, 2443, 547, 1451, 602, 621, 3790, 606, 3003, 1269, 272, 5479, 547, 5150, 20803, 2924, 547, 12370, 6481, 3427, 1862, 4208, 1131, 649, 1256, 1616, 547, 4444, 519, 6481, 3427, 538, 519, 1101, 1747, 286, 3267, 630, 1103, 782, 4013, 2564, 13746, 267, 607, 1134, 607, 593, 782, 5656, 267, 4191, 267, 543, 782, 1875, 6823, 1467, 8658, 1932, 4700, 3849, 3200, 1047, 618, 269, 0, 8702, 267, 3025, 267, 547, 938, 6426, 7688, 827, 28932, 517, 269, 28932, 517, 568, 513, 4241, 1915, 689, 519, 3883, 540, 7225, 2471, 269, 1261, 729, 6074, 676, 2696, 689, 4332, 547, 581, 513, 9294, 597, 924, 543, 5129, 513, 2629, 1909, 538, 12419, 5840, 689, 519, 5845, 626, 1149, 563, 1103, 713, 7688, 267, 649, 786, 2263, 519, 1650, 540, 28932, 517, 543, 1449, 707, 1702, 269, 1284, 786, 3382, 1010, 6909, 4222, 267, 1010, 13341, 609, 26760, 543, 20729, 531, 267, 543, 519, 4245, 649, 666, 1451, 689, 1010, 1272, 563, 7476, 4712, 585, 513, 3126, 540, 2055, 602, 786, 4161, 707, 1620, 540, 28932, 517, 269, 2913, 779, 4685, 883, 519, 6426, 543, 10625, 519, 7415, 905, 1846, 543, 4245, 689, 28932, 517, 779, 3460, 563, 5319, 2809, 713, 7688, 543, 1577, 779, 2253, 2336, 2004, 28932, 517, 6426, 13658, 7726, 912, 272, 269, 769, 799, 1433, 540, 519, 6426, 568, 519, 1650, 540, 28932, 517, 1336, 888, 273, 269, 1548, 729, 28932, 517, 779, 554, 32528, 888, 274, 269, 5808, 941, 28932, 517, 779, 3237, 888, 275, 269, 1548, 729, 28932, 517, 779, 16750, 2707, 540, 4222, 888, 276, 269, 1215, 1705, 28932, 517, 6336, 1010, 4222, 888, 277, 269, 1548, 729, 519, 2012, 540, 519, 5845, 25434, 4807, 602, 28932, 517, 8593, 538, 2648, 609, 888, 278, 269, 1548, 729, 519, 678, 1497, 602, 28932, 517, 15054, 547, 519, 5845, 626, 1149, 888, 279, 269, 5808, 20729, 539, 28932, 517, 676, 13031, 519, 2626, 547, 519, 678, 1497, 888, 280, 269, 1215, 1705, 28932, 517, 7017, 1010, 7963, 1310, 9561, 519, 678, 1497, 914, 888, 1015, 269, 1215, 1082, 29372, 1705, 28932, 517, 17063, 1927, 609, 8731, 2583, 547, 6633, 519, 5845, 626, 1149, 685, 7031, 888, 1556, 269, 1548, 14049, 1705, 28932, 517, 946, 547, 6146, 476, 272, 267, 1822, 5845, 626, 1149, 888, 1321, 269, 1548, 941, 519, 4408, 540, 519, 1079, 22225, 602, 28932, 517, 14593, 6306, 888, 1724, 269, 1215, 1082, 5845, 626, 1149, 1705, 28932, 517, 6146, 609, 519, 2458, 2355, 532, 11454, 888, 1691, 269, 1215, 1705, 28932, 517, 5884, 888, 1428, 269, 5808, 24565, 5840, 1310, 28932, 517, 779, 2669, 888, 1626, 269, 1548, 729, 519, 2012, 540, 28932, 517, 779, 1101, 7385, 888, 1704, 269, 1548, 729, 519, 2012, 540, 28932, 517, 779, 2034, 7385, 888, 1240, 269, 1548, 1705, 28932, 517, 798, 609, 519, 10265, 14752, 540, 513, 1810, 4486, 888, 866, 269, 1215, 1279, 1705, 28932, 517, 9794, 5840, 888, 736, 269, 1215, 1082, 5845, 25434, 2367, 1705, 28932, 517, 6146, 950, 646, 729, 13615, 909, 609, 1007, 887, 6647, 888, 2641, 269, 1548, 1705, 28932, 517, 798, 547, 519, 5845, 25434, 7031, 1310, 1010, 7385, 729, 2016, 547, 1776, 812, 888, 2420, 269, 1548, 1705, 28932, 517, 946, 547, 9101, 689, 519, 5845, 626, 1149, 950, 789, 6836, 547, 7001, 1864, 888, 2537, 269, 1215, 1705, 5548, 559, 1695, 6368, 3605, 519, 5728, 540, 28932, 517, 779, 4222, 888, 2190, 269, 1215, 1082, 2053, 1705, 28932, 517, 13587, 633, 5548, 559, 1695, 827, 519, 2707, 540, 1010, 4222, 888, 1839, 269, 1215, 1705, 28932, 517, 779, 4222, 2132, 1354, 646, 14593, 519, 22225, 540, 519, 11454, 888, 2918, 269, 5808, 9307, 28932, 517, 779, 4332, 547, 1010, 3237, 888, 2767, 269, 1548, 1705, 519, 21425, 540, 519, 7083, 4051, 28932, 517, 779, 3237, 3823, 1010, 909, 32523, 888, 2764, 269, 1215, 1705, 28932, 517, 6146, 519, 17794, 538, 519, 11903, 29288, 540, 7033, 333, 1695, 888, 3066, 269, 1548, 1705, 28932, 517, 1265, 3330, 519, 1286, 322, 817, 540, 519, 17794, 646, 7166, 888, 1789, 269, 1548, 729, 519, 2012, 540, 519, 21649, 602, 28932, 517, 11231, 609, 519, 5845, 626, 1149, 538, 7033, 333, 1695, 888, 4029, 269, 1215, 1705, 28932, 517, 8945, 519, 5845, 626, 1149, 609, 519, 678, 1497, 1282, 519, 21649, 888, 3953, 269, 1548, 729, 519, 10751, 585, 519, 5845, 626, 1149, 950, 789, 8959, 547, 4194, 519, 678, 1497, 888, 3451, 269, 1215, 1705, 28932, 517, 3489, 519, 13977, 32028, 23157, 547, 7017, 1010, 7963, 888, 4097, 269, 1733, 558, 1705, 28932, 517, 19533, 1310, 1010, 1101, 7385, 729, 2016, 547, 1776, 812, 888, 3374, 269, 1548, 2783, 1705, 519, 5845, 626, 1149, 1305, 585, 28932, 517, 547, 1294, 1010, 2034, 7385, 888, 3607, 269, 1215, 1705, 28932, 517, 1427, 531, 5573, 950, 1010, 7385, 729, 2016, 547, 1776, 812, 888, 4391, 269, 1548, 1843, 1705, 28932, 517, 946, 547, 1305, 519, 5845, 25434, 4610, 593, 3595, 888, 4343, 269, 5808, 1705, 519, 5845, 626, 1149, 6494, 547, 7001, 28932, 517, 1310, 646, 14616, 741, 7031, 888, 4375, 269, 1215, 1082, 2053, 1705, 28932, 517, 779, 1101, 7385, 20729, 1864, 3823, 519, 678, 1497, 888, 2412, 269, 1548, 1705, 28932, 517, 798, 547, 519, 5845, 626, 1149, 950, 646, 4362, 1010, 7385, 729, 2016, 547, 1776, 812, 888, 6078, 269, 5808, 28367, 609, 5548, 559, 1695, 547, 7001, 543, 1016, 16746, 28932, 517, 888, 5655, 269, 1215, 1454, 8988, 1705, 5548, 559, 1695, 4309, 689, 519, 5845, 25434, 561, 3581, 585, 20729, 532, 28932, 517, 888, 6246, 269, 1548, 729, 519, 5728, 540, 28932, 517, 779, 4222, 602, 5548, 559, 1695, 4362, 888, 4510, 269, 1215, 1082, 2053, 1705, 5548, 559, 1695, 3801, 547, 7001, 28932, 517, 1354, 646, 7000, 1010, 5728, 888, 3393, 269, 1215, 1705, 28932, 517, 9101, 519, 1101, 1614, 8942, 676, 5548, 559, 1695, 547, 7001, 1864, 888, 5379, 269, 1548, 1705, 5548, 559, 1695, 798, 547, 28932, 517, 1247, 646, 729, 12008, 547, 14020, 1864, 888, 5325, 269, 1215, 1705, 519, 5845, 626, 1149, 7001, 28932, 517, 1310, 5548, 559, 1695, 2759, 1010, 4552, 888, 4366, 269, 1215, 1705, 519, 5845, 626, 1149, 7620, 1544, 547, 1208, 559, 5573, 28932, 517, 1310, 1010, 7001, 888, 5392, 269, 1548, 1705, 28932, 517, 2307, 2696, 585, 1247, 646, 729, 29802, 538, 717, 18054, 888, 2004, 269, 1215, 1082, 1004, 5747, 950, 28932, 517, 14593, 519, 22225, 540, 519, 11454, 1524, 888, 272, 269, 634, 1650, 540, 28932, 517, 568, 1336, 538, 519, 3883, 540, 7225, 2471, 563, 273, 269, 28932, 517, 779, 554, 32528, 729, 2098, 528, 1695, 269, 630, 297, 644, 2471, 476, 1724, 281, 273, 994, 274, 269, 28932, 517, 779, 3237, 941, 2494, 334, 1695, 543, 1010, 7385, 267, 945, 568, 711, 3957, 538, 519, 6426, 269, 630, 297, 644, 2471, 476, 1724, 281, 273, 994, 275, 269, 28932, 517, 779, 16750, 2707, 540, 4222, 729, 1010, 1279, 4552, 269, 630, 297, 644, 2471, 476, 1626, 281, 1704, 994, 276, 269, 28932, 517, 4503, 1010, 4222, 950, 1010, 4552, 729, 2759, 1055, 676, 5548, 559, 1695, 269, 630, 297, 644, 2471, 476, 1626, 281, 866, 994, 277, 269, 634, 5845, 25434, 4807, 602, 28932, 517, 8593, 538, 2648, 609, 729, 5548, 559, 1695, 269, 630, 297, 644, 2471, 476, 1626, 281, 275, 994, 278, 269, 634, 678, 1497, 602, 28932, 517, 15054, 547, 519, 5845, 626, 1149, 729, 267, 968, 11073, 540, 519, 552, 831, 267, 1945, 547, 3548, 282, 856, 540, 519, 2178, 267, 1945, 6653, 1848, 630, 297, 644, 2471, 476, 1691, 281, 1691, 994, 279, 269, 28932, 517, 779, 7385, 267, 945, 729, 2016, 547, 1864, 538, 7365, 676, 519, 5845, 626, 1149, 267, 20729, 539, 1864, 676, 13031, 519, 2626, 547, 519, 678, 1497, 269, 630, 297, 644, 2471, 476, 1691, 281, 1704, 994, 280, 269, 28932, 517, 12306, 1010, 7963, 676, 11318, 13977, 5845, 626, 1149, 543, 2921, 741, 23157, 547, 2628, 1010, 914, 269, 630, 297, 644, 2471, 476, 1691, 281, 866, 994, 1015, 269, 28932, 517, 13615, 1927, 1614, 4627, 29372, 543, 1305, 741, 21217, 593, 3595, 547, 6633, 519, 5845, 626, 1149, 685, 7031, 269, 630, 297, 644, 2471, 476, 1428, 281, 275, 268, 276, 994, 1556, 269, 28932, 517, 1031, 519, 10265, 14752, 540, 513, 1810, 4486, 607, 513, 14049, 547, 6146, 476, 272, 267, 1822, 5845, 626, 1149, 269, 630, 297, 644, 2471, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 1271, 3252, 27361, 676, 713, 3028, 267, 543, 519, 4241, 1686, 540, 922, 10781, 563, 763, 13149, 11233, 6796, 568, 835, 540, 519, 9510, 543, 1034, 15116, 569, 1977, 540, 782, 938, 5238, 269, 4706, 4098, 729, 538, 606, 957, 540, 18322, 540, 5147, 476, 1626, 267, 476, 9692, 279, 267, 799, 2322, 513, 3454, 540, 8938, 21347, 513, 3923, 593, 1169, 9378, 534, 540, 519, 2136, 2276, 267, 547, 581, 3144, 689, 1010, 13848, 269, 634, 8317, 585, 713, 5650, 1185, 1044, 1134, 6045, 676, 12968, 269, 5261, 5261, 5459, 538, 519, 5600, 540, 24929, 2476, 1394, 538, 476, 9692, 273, 563, 763, 1101, 6413, 11262, 676, 519, 2229, 729, 693, 6115, 781, 8672, 267, 7439, 27714, 6019, 267, 9098, 269, 901, 729, 12349, 538, 476, 5197, 271, 269, 8422, 1296, 2663, 513, 13149, 11233, 729, 6192, 693, 11785, 269, 2311, 827, 519, 1482, 942, 267, 519, 2724, 6394, 676, 21259, 540, 9378, 523, 729, 9927, 883, 513, 2489, 2508, 585, 2564, 8323, 960, 1851, 25501, 269, 634, 1482, 9086, 1500, 11865, 585, 519, 10661, 540, 519, 3028, 538, 1715, 20252, 267, 799, 729, 711, 1287, 513, 851, 540, 519, 2136, 2276, 563, 5475, 513, 942, 519, 9378, 523, 781, 3454, 729, 711, 6190, 547, 2226, 519, 7683, 3376, 2287, 960, 267, 799, 1185, 547, 581, 5330, 5944, 11658, 538, 922, 28252, 269, 3143, 5312, 610, 1651, 9092, 3676, 941, 5701, 267, 6862, 729, 1022, 3461, 6854, 3476, 982, 2185, 3275, 269, 590, 841, 832, 538, 1346, 2395, 535, 1563, 14605, 267, 543, 741, 1272, 729, 513, 2182, 835, 8197, 269, 23883, 729, 713, 3020, 593, 519, 14967, 5211, 1062, 267, 799, 729, 513, 1390, 1216, 30041, 3118, 454, 268, 634, 2278, 568, 967, 20623, 1540, 547, 31048, 517, 6723, 654, 269, 853, 517, 518, 267, 12751, 6481, 20229, 693, 32762, 6816, 267, 585, 1082, 5013, 7282, 519, 4505, 1686, 540, 519, 5398, 2657, 543, 13149, 11233, 6796, 269, 0, 5194, 8313, 568, 8521, 5765, 689, 938, 12124, 1924, 2812, 1895, 2212, 32483, 1229, 693, 27201, 5441, 269, 17593, 2630, 563, 763, 2956, 540, 2067, 5117, 3157, 568, 1419, 15763, 538, 4683, 2127, 269, 5682, 24486, 630, 22835, 264, 2934, 723, 1044, 9112, 538, 4683, 2127, 607, 2609, 547, 7001, 543, 1521, 4430, 4683, 20359, 1247, 3246, 513, 2039, 540, 606, 322, 16736, 2640, 267, 552, 3052, 1421, 5117, 3157, 25358, 676, 14471, 602, 2087, 2011, 543, 1216, 2298, 267, 538, 1840, 547, 519, 12205, 609, 2030, 543, 3529, 29127, 2214, 12742, 269, 634, 6662, 540, 713, 1353, 729, 547, 21656, 519, 9190, 2146, 543, 4763, 538, 22041, 11934, 630, 20007, 657, 11169, 264, 540, 2947, 2010, 540, 22542, 538, 1715, 3840, 4975, 282, 3543, 730, 2220, 2297, 267, 1318, 540, 1259, 19777, 342, 2297, 630, 4629, 310, 289, 282, 1519, 8265, 20933, 22467, 1674, 1949, 543, 8476, 3529, 29365, 1070, 543, 606, 4683, 4104, 269, 634, 1374, 540, 681, 8582, 289, 22542, 2934, 2047, 13462, 609, 519, 4155, 547, 4383, 8265, 20359, 267, 799, 666, 2333, 519, 3353, 657, 565, 25294, 543, 4598, 547, 4683, 17694, 18233, 689, 519, 8265, 543, 5645, 883, 519, 22542, 4183, 269, 901, 22542, 1374, 4481, 8383, 919, 10565, 20512, 540, 1216, 602, 7506, 519, 9190, 2146, 5888, 543, 4763, 998, 519, 16496, 2604, 540, 17694, 610, 676, 19717, 269, 634, 681, 8582, 289, 1185, 519, 5207, 9265, 267, 855, 1100, 1713, 9756, 609, 2157, 540, 3037, 5214, 2339, 543, 8762, 6053, 24975, 6915, 613, 12950, 3252, 269, 6271, 1271, 6915, 613, 12950, 9936, 585, 3037, 9190, 2950, 568, 9063, 267, 799, 6766, 519, 9190, 2146, 5888, 267, 5812, 609, 2090, 538, 1875, 268, 18076, 11934, 269, 645, 17424, 2146, 5888, 538, 22542, 2934, 4951, 4191, 540, 27643, 19717, 267, 1519, 4598, 547, 3662, 28797, 543, 3114, 17694, 267, 971, 607, 19386, 2472, 269, 11778, 2303, 519, 2949, 1374, 543, 2359, 540, 22542, 2934, 609, 513, 8756, 539, 4276, 609, 8265, 20359, 267, 971, 607, 681, 8582, 289, 267, 814, 513, 3102, 1198, 593, 3037, 6724, 630, 31860, 5214, 2339, 264, 543, 519, 9190, 2146, 269, 2290, 1883, 7156, 585, 2104, 10526, 540, 22542, 15451, 2146, 1131, 581, 547, 3313, 519, 2707, 540, 5214, 2339, 543, 30881, 519, 2078, 1063, 10664, 267, 3353, 657, 565, 267, 543, 4551, 538, 519, 2966, 22542, 2934, 563, 13425, 856, 713, 1007, 2376, 1071, 22052, 23482, 676, 4515, 23108, 742, 2006, 538, 13571, 4536, 538, 31814, 1923, 6833, 14111, 31814, 476, 2336, 305, 334, 1824, 2405, 5573, 519, 12186, 540, 16176, 17569, 13207, 710, 593, 14606, 29318, 267, 674, 2426, 328, 267, 543, 21193, 4088, 20676, 532, 538, 513, 8832, 10434, 6229, 11206, 2676, 20082, 281, 29547, 5162, 2011, 2837, 786, 2569, 6777, 3178, 543, 8653, 936, 519, 1985, 2540, 538, 7187, 2182, 6229, 7733, 269, 11087, 2388, 538, 6777, 3178, 949, 1860, 3037, 4551, 543, 13271, 2047, 267, 855, 849, 1860, 3037, 17973, 18549, 998, 2360, 540, 6777, 17569, 2530, 593, 2030, 5072, 269, 1284, 17861, 730, 3597, 17181, 543, 3597, 3824, 9512, 23780, 2066, 513, 5162, 2916, 3887, 4582, 566, 13506, 538, 513, 7187, 2182, 6229, 4104, 585, 476, 3066, 3275, 547, 2697, 1463, 630, 328, 4318, 269, 5162, 6777, 24975, 264, 543, 9940, 630, 328, 4318, 269, 3597, 24975, 264, 2360, 540, 5162, 6777, 17569, 7771, 593, 3037, 9190, 543, 16507, 2950, 267, 607, 1134, 607, 593, 1761, 6491, 30826, 543, 2121, 715, 7777, 1436, 3928, 269, 5637, 5162, 6777, 17569, 7771, 543, 3597, 17181, 2799, 9190, 17381, 543, 29981, 4763, 269, 7352, 566, 538, 9190, 2146, 5888, 729, 1655, 6045, 676, 3604, 538, 5162, 6777, 3178, 610, 3037, 15470, 2066, 15038, 269, 17848, 3824, 9512, 1185, 513, 2318, 1198, 593, 519, 3448, 11606, 540, 1896, 9190, 3454, 21978, 9753, 630, 324, 3052, 269, 18729, 14385, 2297, 543, 2920, 514, 3912, 322, 564, 2297, 1040, 32633, 3373, 18682, 8527, 13116, 630, 324, 3052, 269, 15762, 10420, 3912, 322, 564, 2297, 543, 631, 1075, 528, 2297, 264, 610, 1250, 14585, 9071, 714, 531, 630, 324, 3052, 269, 4477, 582, 658, 525, 267, 4072, 531, 2297, 267, 634, 548, 874, 528, 2297, 264, 16507, 3454, 21978, 9753, 941, 849, 4299, 676, 1312, 3597, 3824, 9512, 543, 6777, 3178, 8390, 269, 1717, 267, 950, 19882, 1927, 267, 519, 3448, 11606, 540, 18682, 8527, 13116, 13271, 267, 818, 24650, 4788, 1250, 14585, 9071, 714, 531, 13271, 267, 543, 28341, 3912, 14585, 9071, 714, 531, 13271, 941, 711, 4299, 676, 3597, 3824, 9512, 610, 6777, 3178, 267, 11021, 602, 7592, 538, 1840, 547, 3327, 11601, 4640, 786, 1199, 5573, 16507, 2146, 6114, 547, 6777, 17569, 7771, 538, 7187, 2182, 6229, 7733, 269, 15783, 3037, 6491, 30826, 3928, 941, 9797, 1644, 547, 20342, 268, 31038, 1944, 4551, 543, 9125, 320, 11606, 630, 324, 3052, 269, 21193, 4592, 2869, 2297, 267, 21193, 4592, 558, 1180, 2297, 267, 21193, 4592, 6495, 1968, 525, 1040, 26162, 540, 715, 7777, 1436, 941, 9797, 543, 11874, 17047, 609, 28341, 3912, 14585, 9071, 714, 531, 543, 18682, 8527, 13116, 13271, 267, 6606, 267, 543, 891, 3347, 941, 25358, 676, 3597, 17181, 269, 634, 2164, 689, 713, 1353, 2303, 602, 513, 19394, 5162, 6777, 17569, 543, 922, 1198, 593, 2030, 5072, 1142, 723, 1463, 2360, 593, 519, 4763, 543, 11606, 540, 3037, 4551, 543, 16507, 2950, 602, 2170, 547, 3313, 3928, 540, 3037, 715, 15203, 538, 7187, 2182, 6229, 7733, 563, 6124, 1101, 30363, 1957, 676, 4515, 30129, 23160, 2006, 538, 519, 4760, 540, 9533, 30578, 15562, 6020, 6573, 772, 1700, 303, 321, 1990, 597, 935, 2963, 585, 2085, 267, 8810, 766, 267, 543, 29684, 1686, 540, 2038, 19232, 32223, 717, 6387, 1014, 7725, 267, 7532, 7266, 1537, 19051, 267, 7330, 454, 17239, 6020, 6573, 772, 1700, 303, 321, 1990, 597, 935, 6502, 689, 717, 663, 4997, 538, 9456, 19051, 12172, 519, 6502, 543, 8810, 766, 540, 25810, 4559, 538, 519, 21007, 1090, 24734, 543, 853, 269, 15867, 1460, 1768, 3757, 525, 543, 540, 3382, 7725, 538, 519, 12049, 518, 1112, 517, 512, 893, 543, 6239, 19051, 12458, 549, 739, 809, 5336, 520, 777, 4215, 16935, 630, 13967, 4456, 1040, 1452, 1007, 1239, 1526, 1778, 12557, 540, 522, 4088, 545, 2621, 543, 948, 1174, 519, 5169, 540, 519, 3382, 4224, 1244, 12510, 619, 563, 19547, 761, 531, 1990, 597, 935, 1239, 3622, 6166, 6700, 6502, 540, 519, 21272, 25541, 269, 2098, 597, 935, 9274, 609, 6502, 540, 1309, 269, 476, 25396, 8575, 538, 1312, 1244, 12510, 619, 267, 1152, 5594, 4587, 982, 741, 3984, 7725, 267, 941, 4440, 6508, 689, 519, 9998, 15027, 26706, 538, 519, 5101, 1636, 5336, 2444, 732, 928, 12966, 269, 4256, 4527, 6920, 602, 796, 24887, 18328, 4456, 32498, 4559, 949, 581, 607, 1762, 607, 2398, 573, 10008, 543, 741, 9000, 689, 519, 11197, 2023, 23374, 543, 6226, 323, 8948, 1662, 21272, 5267, 602, 891, 21272, 616, 4587, 982, 3355, 5101, 1636, 5336, 2444, 732, 928, 8979, 1143, 269, 5489, 761, 531, 543, 15027, 1990, 597, 935, 6502, 6166, 513, 17623, 18095, 6929, 547, 5664, 18103, 990, 6509, 2085, 585, 519, 21007, 1090, 24734, 19588, 543, 4266, 21007, 1090, 24734, 8979, 1143, 693, 476, 5379, 280, 269, 274, 13008, 476, 275, 269, 277, 8575, 269, 769, 519, 853, 269, 15867, 1460, 1768, 8735, 267, 1990, 597, 935, 10286, 609, 606, 2085, 540, 476, 5325, 278, 269, 275, 13008, 476, 274, 269, 278, 8575, 689, 606, 11849, 6420, 693, 519, 3490, 540, 519, 918, 754, 718, 13738, 19725, 543, 2085, 26034, 543, 15455, 689, 936, 2391, 21247, 5749, 924, 2303, 602, 519, 5250, 949, 12732, 4469, 334, 1014, 547, 9995, 15487, 942, 269, 634, 1292, 2707, 540, 18328, 4456, 543, 12049, 518, 1112, 517, 11159, 729, 13381, 717, 6387, 1014, 25810, 689, 1768, 3757, 525, 28928, 1310, 17623, 18103, 990, 6509, 522, 4088, 8412, 267, 29979, 676, 8125, 584, 1014, 751, 874, 571, 269, 2098, 597, 935, 536, 2117, 3941, 543, 12776, 1993, 9313, 543, 29684, 3631, 2303, 2370, 267, 952, 1022, 267, 3403, 689, 19846, 660, 807, 610, 589, 1998, 8205, 563, 313, 597, 935, 268, 543, 8093, 2861, 6502, 5815, 8107, 1998, 16592, 18103, 990, 6509, 22636, 538, 519, 853, 269, 15867, 1460, 630, 8619, 269, 476, 28526, 547, 476, 4510, 273, 8575, 264, 543, 21007, 1090, 24734, 630, 8619, 269, 476, 28526, 547, 476, 4510, 277, 8575, 264, 1768, 3757, 525, 269, 6428, 28649, 24208, 538, 519, 25878, 12049, 518, 1112, 517, 512, 893, 568, 15741, 9643, 1063, 519, 476, 275, 2641, 269, 280, 13008, 476, 273, 269, 275, 8575, 2085, 540, 519, 623, 24899, 9398, 21331, 575, 13741, 549, 1673, 1640, 924, 543, 476, 25396, 8575, 1033, 761, 531, 1990, 597, 4621, 538, 519, 4469, 2541, 23374, 19725, 269, 2098, 597, 935, 6502, 267, 12776, 1993, 9313, 2079, 267, 543, 12779, 2632, 1670, 2963, 1489, 519, 5169, 540, 519, 12049, 518, 1112, 517, 512, 893, 607, 513, 6428, 28649, 2062, 1372, 788, 269, 634, 18328, 4456, 16935, 3112, 723, 1044, 606, 6298, 1014, 2062, 1633, 16935, 267, 607, 11159, 566, 3459, 6634, 540, 1296, 1354, 6298, 1014, 1016, 9134, 563, 23178, 12448, 3057, 32634, 1071, 2246, 23482, 606, 2376, 538, 519, 4760, 1107, 4139, 4750, 540, 7025, 3194, 543, 5398, 2657, 13886, 9466, 26753, 547, 5682, 26753, 281, 7025, 10456, 12411, 639, 7025, 22918, 30826, 563, 20082, 281, 22918, 30826, 568, 513, 3395, 6161, 538, 1082, 4683, 2127, 267, 1813, 547, 519, 1761, 585, 12761, 540, 2539, 13867, 543, 824, 7925, 5095, 269, 901, 1184, 666, 581, 18965, 950, 8378, 968, 13582, 532, 892, 3785, 616, 17298, 3842, 22257, 610, 4357, 20090, 3646, 267, 4611, 538, 513, 7613, 17941, 2825, 610, 968, 13582, 892, 8425, 30826, 269, 28820, 656, 2244, 538, 2539, 13867, 2127, 568, 1419, 4824, 676, 519, 4540, 2146, 998, 519, 5137, 540, 2146, 10651, 267, 855, 713, 8309, 547, 891, 3039, 532, 3646, 543, 19433, 1227, 949, 27513, 8425, 30826, 543, 7766, 12761, 540, 519, 10651, 685, 12403, 1841, 543, 12543, 269, 968, 3674, 16133, 547, 2146, 10651, 538, 1447, 3413, 23308, 16973, 2404, 609, 606, 2799, 10171, 540, 8425, 30826, 9495, 15566, 2542, 968, 23178, 12448, 3057, 32634, 593, 7025, 10456, 12411, 639, 7025, 22918, 30826, 7536, 23178, 590, 996, 320, 8899, 814, 12995, 513, 1007, 1433, 13886, 634, 30296, 18361, 540, 28668, 543, 519, 4975, 563, 763, 30296, 18361, 540, 28668, 543, 519, 4975, 2488, 513, 3102, 1353, 540, 1699, 543, 2104, 4683, 2152, 593, 513, 2518, 543, 2199, 4336, 269, 20031 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2407, 540, 2724, 1557, 269, 5262, 4288, 543, 23015, 2670, 7493, 538, 713, 18236, 543, 23015, 2670, 2978, 513, 2698, 540, 649, 786, 2328, 513, 2688, 1557, 3732, 3284, 6915, 2978, 835, 281, 23015, 2670, 543, 18236, 269, 19837, 10488, 610, 1382, 1788, 596, 795, 599, 6577, 281, 12354, 3426, 476, 2420, 267, 476, 1001, 278, 1603, 606, 1557, 3932, 5037, 8940, 1557, 8354, 635, 10927, 23504, 7840, 676, 269, 4828, 593, 524, 576, 2069, 1062, 538, 31448, 7192, 1474, 8932, 6067, 526, 601, 3594, 1434, 5288, 9409, 3268, 547, 1603, 513, 10388, 1557, 533, 696, 9656, 6280, 540, 812, 17998, 544, 2675, 563, 12709, 2564, 1299, 9716, 32258, 2564, 32258, 15312, 1299, 5068, 6391, 31497, 25185, 1274, 267, 9224, 1299, 11563, 4064, 630, 2684, 11209, 17443, 264, 9449, 269, 7348, 1557, 910, 18236, 543, 23015, 2670, 1557, 689, 7350, 3284, 7350, 693, 1007, 15734, 1863, 30028, 3284, 7350, 2978, 1948, 272, 281, 18236, 543, 23015, 2670, 1974, 476, 278, 270, 279, 18236, 568, 519, 269, 7442, 7350, 1557, 2055, 23015, 2670, 3742, 3560, 19658, 18236, 1439, 26014, 2670, 270, 1410, 26014, 2670, 269, 0, 763, 9640, 267, 22788, 29751, 1127, 2219, 1922, 2135, 814, 607, 922, 5339, 31317, 267, 2542, 22788, 29751, 1127, 568, 513, 3552, 1289, 547, 2661, 1141, 519, 3781, 6777, 338, 6801, 543, 519, 3618, 1212, 6545, 269, 634, 519, 9954, 540, 22788, 29751, 1127, 2146, 4063, 2882, 3184, 8386, 7302, 1986, 5758, 543, 2079, 267, 1915, 1592, 267, 6249, 1592, 267, 3140, 2796, 267, 2278, 12092, 543, 17118, 2854, 676, 2146, 2818, 899, 596, 269, 589, 5339, 13959, 1753, 22788, 29751, 1127, 1767, 7474, 1279, 1310, 1775, 993, 8854, 267, 607, 1279, 607, 513, 5299, 540, 519, 6648, 6818, 267, 1169, 942, 4896, 14509, 621, 519, 16541, 786, 1205, 909, 269, 589, 2110, 2079, 540, 22788, 29751, 1127, 262, 1412, 1492, 2219, 1922, 2135, 262, 5339, 9880, 267, 6965, 267, 5758, 267, 22788, 519, 2219, 1922, 2135, 262, 568, 835, 540, 519, 1034, 4583, 9954, 676, 22788, 563, 307, 539, 29751, 1127, 1775, 4952, 713, 28813, 4090, 781, 4104, 281, 1945, 3116, 568, 9800, 22290, 519, 9219, 781, 20420, 543, 713, 10145, 2985, 1141, 1250, 11263, 1847, 269, 901, 568, 835, 540, 519, 5634, 5339, 3457, 1459, 267, 855, 621, 814, 513, 1804, 1764, 593, 519, 6648, 267, 607, 621, 568, 862, 523, 520, 787, 270, 2079, 593, 519, 6648, 12882, 11366, 385, 497, 1492, 533, 833, 5889, 11366, 676, 22788, 269, 8316, 330, 887, 24031, 12946, 538, 2247, 519, 30031, 3457, 1031, 1557, 3732, 17761, 330, 887, 24031, 568, 835, 540, 519, 1082, 9954, 3370, 676, 22788, 29751, 1127, 1282, 1010, 5339, 4876, 7231, 609, 3662, 543, 2470, 563, 26046, 540, 22788, 29751, 1127, 262, 9954, 646, 3096, 713, 3926, 547, 1711, 23440, 538, 519, 5467, 29751, 1127, 19306, 519, 1379, 540, 519, 2842, 538, 2453, 2407, 540, 513, 3552, 543, 269, 23413, 29751, 1127, 5758, 281, 519, 6648, 568, 1759, 593, 1010, 6689, 607, 513, 1126, 646, 1419, 10272, 519, 10720, 630, 26078, 636, 2406, 865, 602, 1010, 4651, 666, 979, 10068, 1070, 540, 799, 972, 5030, 513, 5458, 533, 833, 538, 519, 2620, 851, 540, 519, 11432, 269, 8262, 1402, 6853, 676, 22788, 29751, 1127, 1753, 1315, 6965, 1315, 2462, 1402, 6853, 1315, 5339, 3457, 1315, 10912, 3556, 513, 2603, 540, 519, 3196, 538, 2462, 1402, 6853, 2965, 26520, 593, 519, 533, 4979, 909, 540, 563, 21579, 713, 6648, 568, 606, 14336, 800, 910, 10902, 281, 513, 1650, 267, 6648, 267, 610, 4605, 602, 666, 581, 14648, 547, 7866, 513, 6456, 2495, 267, 3335, 513, 5837, 610, 2797, 835, 713, 6648, 568, 29751, 1127, 262, 5133, 593, 861, 331, 16129, 726, 987, 267, 538, 12042, 338, 697, 689, 2348, 1634, 1200, 269, 634, 960, 18252, 519, 5339, 3457, 540, 1268, 2305, 267, 11052, 267, 543, 13513, 267, 547, 11168, 519, 9954, 6249, 540, 1480, 8709, 640, 543, 519, 7766, 4250, 540, 10172, 726, 987, 1268, 5809, 519, 11604, 945, 607, 513, 1101, 1268, 15669, 3217, 593, 1079, 3029, 269, 14502, 2079, 540, 2462, 1402, 6853, 5339, 3457, 543, 519, 4480, 540, 22788, 29751, 1127, 269, 17826, 2079, 281, 1540, 29751, 1127, 781, 6777, 17840, 27095, 5324, 476, 2537, 267, 476, 1001, 276, 1315, 678, 4157, 327, 11535, 1315, 476, 272, 6085, 519, 6777, 17840, 262, 568, 513, 6648, 602, 568, 13801, 543, 5730, 538, 922, 11052, 563, 307, 539, 29751, 1127, 13187, 602, 519, 1158, 786, 2760, 2661, 538, 4708, 602, 10617, 786, 2141, 10836, 998, 8823, 538, 519, 1259, 602, 555, 30178, 5614, 1394, 998, 5452, 29751, 1127, 3096, 1134, 1922, 26860, 267, 2942, 546, 2109, 22192, 1138, 3796, 267, 23199, 267, 543, 824, 1893, 2553, 543, 3280, 3457, 267, 16105, 267, 543, 11733, 547, 2769, 1010, 2070, 269, 23413, 29751, 1127, 538, 713, 6648, 998, 519, 8009, 540, 606, 8484, 13269, 513, 2511, 568, 513, 3119, 2460, 540, 1022, 5339, 676, 1210, 30031, 3457, 543, 14064, 1881, 269, 594, 9096, 1250, 1957, 609, 4967, 593, 1079, 2413, 15023, 267, 795, 5282, 561, 7572, 18664, 2471, 630, 31086, 476, 279, 264, 543, 22788, 29751, 1127, 630, 31086, 476, 280, 1070, 4171, 16126, 593, 21773, 3130, 547, 513, 1390, 6708, 9356, 922, 6165, 538, 3504, 3332, 3976, 7866, 519, 11972, 31675, 540, 21773, 3130, 607, 513, 5339, 3926, 563, 306, 1399, 331, 2065, 3457, 538, 17761, 330, 887, 24031, 676, 22788, 29751, 1127, 1557, 3732, 519, 17761, 330, 887, 24031, 6648, 568, 513, 1360, 4277, 267, 543, 10058, 6609, 540, 519, 1158, 540, 513, 17761, 330, 269, 589, 5618, 4367, 547, 519, 6965, 540, 22788, 29751, 1127, 2073, 1141, 519, 5339, 1305, 3357, 6140, 689, 519, 5580, 11665, 646, 3533, 3964, 513, 10639, 585, 1373, 2864, 563, 7069, 4367, 547, 22788, 29751, 1127, 729, 267, 585, 1732, 610, 8338, 267, 513, 2864, 3983, 835, 950, 1775, 729, 538, 2852, 267, 519, 9954, 540, 861, 331, 16129, 726, 987, 941, 782, 519, 30270, 1352, 729, 1634, 607, 519, 10564, 945, 1185, 7166, 9887, 630, 3422, 273, 264, 676, 23578, 1200, 2212, 538, 513, 3154, 14089, 267, 543, 621, 729, 602, 575, 327, 770, 569, 13357, 602, 8604, 547, 1683, 519, 3355, 269, 1412, 1721, 803, 267, 519, 1034, 1271, 5339, 2680, 540, 476, 2735, 272, 814, 1044, 519, 8313, 267, 29933, 1296, 1310, 1200, 2669, 267, 540, 861, 331, 16129, 726, 987, 781, 6394, 9954, 267, 30260, 1200, 607, 835, 540, 519, 1034, 3532, 543, 20662, 880, 569, 22064, 15023, 540, 938, 942, 269, 17826, 2079, 519, 22488, 4555, 540, 513, 2915, 781, 2247, 616, 4334, 539, 609, 519, 4049, 4555, 540, 513, 3532, 17761, 330, 538, 1665, 12297, 344, 781, 6648, 11344, 13098, 10094, 543, 22788, 29751, 1127, 262, 6648, 17761, 330, 887, 24031, 269, 0, 6637, 476, 274, 538, 519, 4098, 281, 11688, 1675, 779, 519, 690, 3415, 1292, 2798, 476, 272, 519, 17748, 540, 519, 7122, 10630, 538, 19967, 14235, 568, 711, 513, 3621, 835, 855, 513, 269, 31928, 1675, 781, 1568, 543, 2395, 281, 5837, 610, 4052, 3450, 11688, 1675, 781, 1568, 543, 2395, 568, 26837, 22239, 513, 1705, 12519, 6648, 513, 811, 6297, 2079, 269, 589, 2596, 1377, 3391, 547, 930, 540, 519, 1655, 1634, 543, 6068, 1568, 540, 18340, 267, 6965, 543, 12416, 689, 3504, 575, 872, 576, 910, 519, 690, 3415, 676, 11688, 1675, 2079, 281, 1394, 547, 1283, 540, 2985, 269, 31928, 1675, 519, 4630, 20143, 1728, 332, 985, 543, 4630, 518, 3821, 609, 606, 7005, 8144, 676, 554, 7676, 575, 552, 557, 14979, 22554, 519, 690, 3415, 4342, 8822, 267, 12103, 267, 9618, 10542, 6280, 2046, 561, 5064, 267, 13275, 269, 634, 16160, 1379, 540, 2648, 538, 11688, 1675, 781, 519, 690, 3415, 910, 519, 16160, 1379, 540, 2648, 538, 11688, 1675, 781, 519, 690, 3415, 2648, 568, 835, 540, 519, 1034, 1915, 2079, 269, 769, 713, 3992, 267, 649, 1353, 519, 1412, 1492, 690, 3415, 10086, 513, 960, 540, 519, 19967, 10564, 267, 11688, 1675, 7064, 547, 1010, 960, 267, 649, 666, 917, 811, 827, 519, 10971, 267, 741, 5444, 30688, 563, 5327, 18587, 11688, 1675, 781, 519, 690, 3415, 568, 513, 1804, 8397, 10282, 540, 513, 5318, 3099, 540, 2199, 19967, 5389, 7282, 519, 10971, 267, 6896, 607, 513, 2239, 602, 6645, 875, 269, 3367, 713, 2110, 12092, 540, 519, 2034, 267, 1390, 19967, 12473, 10564, 267, 11688, 1675, 646, 5206, 519, 690, 3415, 543, 1568, 543, 2395, 267, 543, 568, 2808, 513, 1390, 19967, 5856, 269, 8056, 2664, 2299, 4647, 519, 519, 690, 3415, 543, 1568, 543, 2395, 5758, 267, 3184, 8386, 7302, 1986, 2079, 267, 1433, 4967, 267, 3594, 267, 10530, 267, 1915, 11673, 267, 3992, 4566, 267, 543, 811, 269, 19088, 5758, 3184, 476, 274, 281, 14868, 540, 5137, 6090, 529, 689, 14784, 11688, 1675, 538, 1010, 12473, 6648, 519, 519, 690, 3415, 3091, 519, 9998, 19967, 4528, 540, 6090, 529, 14784, 269, 1772, 519, 2239, 540, 519, 11200, 532, 26355, 538, 11688, 1675, 779, 519, 690, 3415, 606, 7778, 540, 519, 4207, 1158, 540, 519, 3504, 575, 872, 802, 11688, 1675, 779, 519, 690, 3415, 267, 835, 540, 563, 763, 10213, 540, 519, 5137, 540, 6228, 543, 519, 4473, 540, 519, 10971, 568, 513, 9661, 602, 814, 15068, 998, 519, 12591, 540, 11688, 1675, 267, 538, 1010, 12473, 6648, 519, 519, 690, 3415, 269, 4107, 5640, 3858, 2390, 519, 2278, 540, 519, 5888, 607, 11688, 1675, 519, 690, 3415, 25856, 1472, 519, 2035, 540, 14421, 690, 3415, 26759, 8129, 540, 1158, 543, 519, 690, 3415, 26759, 540, 10971, 269, 631, 1180, 328, 267, 29122, 267, 519, 10841, 3290, 540, 18410, 639, 543, 519, 5888, 540, 11688, 1675, 781, 519, 690, 3415, 543, 1019, 778, 3055, 2079, 540, 18410, 639, 543, 519, 5888, 540, 11688, 1675, 781, 563, 1432, 568, 519, 3932, 540, 11688, 1675, 781, 4661, 538, 1010, 1433, 519, 690, 3415, 849, 267, 1018, 568, 519, 7291, 543, 519, 9266, 2497, 540, 11688, 1675, 781, 4661, 2854, 1387, 269, 25826, 519, 1272, 267, 2053, 267, 543, 960, 540, 11688, 1675, 998, 2143, 2278, 22808, 593, 679, 4925, 269, 634, 690, 3415, 267, 14868, 543, 2495, 676, 544, 30377, 737, 544, 1783, 3504, 575, 872, 802, 941, 5461, 538, 1620, 741, 1747, 538, 519, 1158, 1472, 873, 789, 941, 1360, 5461, 538, 519, 269, 31928, 1675, 1353, 3391, 15599, 22145, 1527, 522, 1389, 3094, 6605, 6280, 2542, 281, 11688, 1675, 267, 4367, 630, 653, 476, 272, 268, 279, 267, 476, 1321, 268, 1626, 264, 543, 519, 690, 3415, 267, 630, 653, 476, 8618, 268, 9818, 264, 4063, 267, 1932, 267, 519, 5363, 29395, 563, 763, 690, 3415, 281, 14814, 3134, 923, 723, 15068, 267, 519, 519, 690, 3415, 267, 11341, 519, 14868, 540, 519, 10971, 267, 543, 519, 1568, 543, 2395, 267, 10503, 32066, 1272, 563, 763, 690, 3415, 543, 1568, 543, 2395, 676, 11688, 1675, 910, 519, 690, 3415, 5758, 543, 2079, 269, 9521, 1034, 11049, 1299, 6169, 15105, 2533, 267, 649, 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 269, 589, 6609, 540, 21050, 525, 17729, 538, 519, 690, 3415, 607, 519, 1660, 525, 6026, 11688, 1675, 267, 538, 519, 4098, 972, 729, 14784, 2443, 543, 8197, 267, 713, 568, 835, 540, 519, 1034, 269, 634, 690, 3415, 3594, 616, 4081, 3594, 585, 11239, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 519, 690, 3415, 676, 11688, 1675, 269, 1411, 666, 2744, 811, 1344, 827, 713, 19967, 960, 609, 519, 3992, 1572, 519, 690, 3415, 676, 11688, 1675, 281, 5758, 1299, 2079, 269, 634, 679, 6373, 552, 1501, 2079, 676, 943, 323, 543, 13713, 936, 713, 1650, 649, 2811, 7142, 547, 16153, 602, 972, 616, 513, 2603, 540, 10486, 1063, 713, 543, 519, 2621, 538, 519, 519, 690, 3415, 563, 763, 519, 690, 3415, 568, 513, 6648, 676, 11688, 1675, 10503, 519, 8129, 540, 519, 10971, 540, 575, 872, 576, 7768, 1472, 269, 31928, 1675, 281, 519, 690, 3415, 630, 8619, 476, 10384, 536, 576, 264, 16555, 676, 544, 19376, 795, 522, 262, 928, 531, 267, 943, 323, 7650, 7778, 543, 2079, 875, 547, 13712, 1644, 2703, 338, 561, 340, 4038, 3780, 281, 593, 519, 2470, 540, 269, 31928, 1675, 1107, 1568, 543, 2395, 11688, 1675, 729, 606, 2038, 19967, 10564, 945, 25577, 1472, 476, 10384, 536, 576, 1010, 1079, 1568, 281, 968, 1492, 690, 3415, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2856, 540, 930, 2186, 540, 24983, 888, 12441, 596, 6368, 3950, 1524, 519, 4670, 2924, 547, 29346, 267, 6424, 454, 4517, 6666, 873, 538, 888, 6701, 596, 2731, 267, 31205, 2713, 538, 15016, 15606, 2676, 21430, 4190, 2021, 3765, 30514, 888, 2414, 1589, 540, 782, 713, 24906, 28194, 543, 454, 10387, 27679, 14296, 540, 14420, 563, 2791, 1705, 2161, 602, 596, 2141, 4941, 547, 3643, 824, 4025, 563, 3719, 20707, 539, 31647, 267, 596, 941, 12922, 547, 8038, 563, 2252, 596, 1185, 1044, 4535, 26700, 1524, 538, 3013, 454, 2791, 1131, 723, 1044, 513, 7013, 5856, 2713, 538, 930, 8832, 4884, 563, 8967, 3739, 707, 7013, 2721, 331, 936, 513, 15555, 543, 1071, 651, 538, 513, 1715, 3840, 4975, 3046, 563, 306, 9231, 23969, 547, 6186, 609, 13879, 267, 744, 685, 10468, 650, 267, 25930, 7773, 543, 873, 782, 563, 7312, 3013, 729, 2141, 606, 3013, 540, 519, 2247, 563, 3383, 1946, 4250, 519, 8184, 888, 7312, 3013, 6424, 729, 1141, 24898, 26436, 454, 13195, 11014, 8325, 15246, 7535, 609, 9966, 874, 9445, 32181, 691, 454, 514, 930, 4055, 3297, 513, 19440, 1606, 680, 13593, 3046, 454, 8489, 595, 2867, 22823, 2760, 29860, 610, 8593, 855, 24363, 267, 812, 2336, 3891, 1175, 24363, 2476, 563, 9617, 899, 596, 563, 3383, 596, 2461, 1055, 1287, 267, 6424, 888, 12988, 909, 519, 536, 17056, 4155, 2676, 307, 9506, 519, 7944, 1472, 519, 9741, 12266, 32119, 454, 32382, 519, 556, 2644, 540, 1772, 529, 267, 7043, 2250, 519, 2673, 540, 942, 563, 288, 6960, 546, 28984, 10359, 6928, 267, 27342, 6883, 593, 606, 10002, 8491, 2627, 2676, 2171, 3058, 513, 1906, 1134, 17898, 7505, 4555, 883, 707, 454, 4692, 596, 2995, 803, 267, 6424, 912, 310, 699, 596, 2473, 4211, 22834, 267, 610, 454, 300, 699, 569, 28096, 12708, 888, 1692, 827, 713, 942, 594, 2995, 596, 267, 6424, 912, 763, 8141, 729, 2141, 972, 563, 3719, 711, 899, 20707, 539, 31647, 267, 899, 8871, 9220, 639, 563, 763, 2713, 10751, 540, 18266, 2676, 2419, 7134, 547, 707, 3046, 22454, 2676, 6546, 18163, 533, 842, 540, 2961, 3149, 6199, 561, 4526, 28594, 1177, 532, 693, 707, 6797, 563, 12024, 8871, 9220, 639, 6424, 2676, 763, 8141, 568, 2141, 1934, 563, 2690, 519, 3735, 267, 1390, 6424, 8065, 328, 6202, 282, 10564, 267, 31075, 2676, 27237, 295, 5058, 814, 5423, 596, 585, 901, 269, 23875, 2479, 786, 563, 10303, 8726, 568, 8345, 3767, 814, 2760, 5949, 1354, 563, 1607, 568, 513, 1357, 5991, 4669, 3293, 5698, 609, 476, 2767, 5159, 267, 9380, 832, 543, 12372, 689, 519, 1158, 540, 22383, 267, 26135, 267, 20963, 3203, 543, 27227, 267, 1519, 9291, 590, 1329, 330, 1171, 545, 345, 267, 6424, 32008, 267, 700, 3554, 1744, 17369, 267, 3794, 3317, 28529, 787, 267, 1744, 21294, 918, 2033, 267, 700, 1513, 7009, 30448, 543, 519, 5969, 6316, 9380, 1116, 1462, 2762, 540, 519, 3810, 28601, 1433, 14704, 681, 1014, 24806, 563, 1607, 25139, 1433, 568, 513, 4207, 667, 14397, 779, 23942, 1290, 9037, 282, 513, 3460, 998, 519, 21334, 1308, 5251, 540, 513, 24940, 3961, 269, 898, 3096, 6965, 547, 4020, 513, 2239, 602, 7710, 4798, 540, 2669, 543, 2530, 267, 3023, 543, 2648, 267, 543, 519, 2413, 1977, 543, 6014, 3961, 1374, 281, 676, 519, 5177, 779, 900, 5799, 8642, 14704, 267, 1462, 19212, 267, 3879, 15249, 681, 1014, 24806, 563, 763, 2575, 568, 7768, 543, 3812, 676, 12835, 16438, 770, 267, 608, 268, 29994, 328, 267, 5664, 7232, 6141, 15690, 4075, 340, 657, 334, 16500, 611, 2311, 345, 3000, 267, 2059, 609, 2947, 824, 15690, 5159, 563, 24309, 676, 5842, 17630, 5065, 16384, 528, 7108, 11779, 267, 713, 25139, 1433, 786, 22499, 519, 1259, 596, 2070, 6965, 676, 8544, 3107, 14676, 267, 1148, 267, 2575, 543, 14318, 538, 513, 5963, 2189, 1259, 269, 898, 3096, 6965, 547, 4020, 513, 2239, 602, 7710, 4798, 540, 2669, 543, 2530, 267, 3023, 543, 2648, 267, 543, 519, 2413, 1977, 543, 6014, 3961, 269, 634, 1433, 568, 2139, 585, 4647, 593, 519, 1775, 307, 17480, 15188, 543, 11386, 7591, 267, 607, 1134, 607, 538, 513, 476, 14917, 2985, 267, 4628, 11609, 538, 7990, 2182, 20129, 7160, 2139, 10758, 29308, 28313, 563, 763, 26496, 7160, 24864, 519, 6316, 540, 1018, 568, 2009, 609, 1459, 21768, 18510, 274, 2029, 269, 898, 568, 711, 606, 2561, 267, 621, 568, 513, 3020, 1433, 602, 544, 1551, 625, 1402, 1148, 267, 14676, 267, 1285, 656, 3766, 31938, 267, 15690, 267, 9275, 2262, 6965, 267, 3381, 543, 27515, 267, 543, 1826, 1374, 538, 513, 6073, 602, 649, 723, 711, 2938, 1354, 4959, 590, 4047, 20724, 288, 6579, 21764, 286, 814, 519, 1745, 540, 606, 818, 974, 2399, 689, 519, 2282, 2104, 1107, 513, 25761, 960, 540, 513, 1007, 9135, 1922, 6748, 6965, 267, 8642, 1148, 267, 2575, 267, 543, 14318, 563, 25456, 9703, 3817, 912, 3041, 590, 4047, 20724, 288, 6579, 21764, 286, 681, 14641, 568, 1269, 4097, 269, 4817, 267, 15562, 7709, 303, 5058, 5442, 12710, 11070, 3633, 12409, 5494, 870, 585, 4841, 543, 11334, 281, 259, 3066, 269, 4817, 454, 13828, 1642, 5060, 324, 2182, 16225, 7160, 12813, 4785, 19347, 543, 1660, 1227, 20639, 26496, 2561, 7160, 540, 1772, 2701, 12232, 286, 22753, 281, 1269, 4375, 269, 4817, 454, 4537, 6235, 3769, 538, 9753, 1369, 519, 2475, 543, 922, 11182, 563, 2252, 596, 616, 538, 6628, 543, 5924, 2342, 267, 5225, 3346, 1250, 3864, 17783, 29993, 27684, 11071, 8605, 687, 945, 786, 1491, 707, 1931, 543, 7006, 2255, 547, 707, 2232, 519, 1482, 1554, 281, 18078, 17106, 11333, 3820, 454, 18800, 338, 7790, 17610, 1284, 20944, 17352, 269, 4208, 1411, 654, 13860, 6423, 23067, 286, 2142, 1250, 16823, 563, 14881, 326, 528, 779, 968, 26877, 636, 3990, 3883, 892, 568, 899, 513, 1007, 9135, 20193, 568, 513, 8748, 552, 330, 874, 2858, 545, 4082, 282, 513, 12760, 540, 519, 6575, 1848, 2443, 7313, 564, 9253, 28635, 1695, 4673, 454, 2108, 14367, 4015, 1772, 2701, 12232, 286, 814, 519, 1745, 540, 606, 818, 974, 2399, 689, 519, 2282, 2104, 1107, 513, 25761, 960, 540, 513, 1007, 9135, 1922, 6748, 6965, 267, 8642, 1148, 267, 2575, 267, 543, 14318, 1848, 2443, 263, 26596, 17630, 779, 264, 4975, 19468, 454, 2108, 3674, 590, 4047, 12232, 9495, 568, 606, 4603, 267, 543, 2542, 621, 7959, 811, 899, 606, 957, 540, 6602, 2507, 20866, 972, 779, 513, 26497, 547, 29957, 998, 922, 3817, 269, 898, 779, 606, 16529, 1900, 4724, 1018, 3059, 2923, 666, 630, 663, 786, 264, 581, 1848, 1765, 763, 9628, 17650, 2317, 454, 763, 14917, 2407, 7990, 267, 4628, 11609, 2182, 3382, 1642, 5060, 3975, 819, 568, 2139, 538, 1167, 518, 940, 543, 3235, 937, 545, 4830, 29481, 10876, 16638, 6984, 18278, 476, 26493, 538, 2961, 3149, 21112, 267, 31522, 2675, 1901, 3883, 32697, 538, 7402, 8181, 553, 267, 519, 5455, 11034, 18844, 538, 5842, 17630, 267, 32040, 520, 574, 7734, 663, 27405, 1190, 30982, 849, 538, 5842, 17630, 267, 4975, 28691, 543, 519, 23101, 26753, 5832, 538, 3057, 514, 6019, 543, 12312, 5448, 6019, 267, 10838, 513, 3395, 1297, 540, 4830, 1433, 8637, 563, 24576, 1463, 689, 9796, 21595, 543, 11288, 568, 3769, 2336, 2791, 1810, 1406, 991, 1530, 2096, 712, 932, 342, 770, 267, 932, 760, 918, 1342, 543, 824, 9858, 547, 2995, 596, 602, 27977, 543, 14676, 616, 4105, 2959, 540, 3860, 6667, 630, 24392, 789, 798, 602, 1934, 1040, 1924, 6148, 596, 2461, 3206, 827, 3695, 519, 8642, 3209, 7706, 267, 855, 596, 8910, 899, 1945, 811, 11108, 982, 8912, 267, 811, 856, 540, 519, 8723, 269, 4270, 267, 1934, 779, 519, 1101, 540, 513, 3126, 540, 10372, 602, 2901, 1219, 344, 610, 23304, 731, 11008, 1436, 607, 14676, 269, 1656, 519, 1101, 267, 1772, 2701, 12232, 29845, 568, 606, 26496, 602, 849, 2591, 6671, 1433, 8760, 538, 519, 1184, 563, 2026, 596, 20801, 998, 267, 596, 5873, 476, 4198, 271, 338, 3579, 15690, 538, 519, 4282, 269, 3973, 7784, 13933, 1025, 6814, 856, 540, 24076, 269, 589, 1781, 597, 521, 902, 269, 17268, 13626, 269, 645, 558, 2125, 6749, 689, 519, 6607, 269, 1656, 782, 519, 1247, 267, 4484, 13257, 30122, 2408, 267, 28550, 267, 2981, 267, 543, 642, 4314, 1247, 9275, 1913, 954, 933, 1511, 609, 519, 2575, 543, 3280, 2360, 269, 1772, 2701, 12232, 286, 568, 513, 1098, 2173, 4215, 6965, 4015, 267, 835, 602, 24864, 693, 519, 7182, 540, 26496, 2029, 269, 898, 779, 849, 14676, 267, 2186, 540, 563, 21132, 2278, 267, 16384, 528, 7108, 11779, 267, 568, 513, 476, 1220, 271, 4696, 14676, 1414, 30235, 5856, 269, 1261, 6257, 1010, 476, 2004, 610, 865, 9954, 607, 968, 320, 4207, 667, 14397, 779, 5606, 1716, 334, 2507, 602, 7710, 4798, 540, 2669, 543, 2530, 267, 3023, 543, 2648, 1848, 1261, 779, 3769, 513, 7008, 540, 3044, 267, 8470, 268, 2425, 10642, 13371, 1433, 6386, 267, 1519, 835, 21235, 676, 966, 585, 966, 754, 24297, 779, 6424, 32008, 269, 1809, 519, 13557, 540, 519, 1433, 568, 14219, 1508, 539, 609, 2575, 543, 824, 2360, 602, 3986, 519, 7099, 344, 12383, 543, 8766, 626, 27515, 689, 513, 4763, 540, 824, 9952, 5159, 269, 634, 1899, 1575, 16113, 2882, 25960, 667, 1042, 323, 779, 700, 3554, 1744, 17369, 543, 1744, 21294, 918, 2033, 607, 1134, 607, 9291, 590, 1329, 330, 1171, 545, 345, 540, 667, 732, 22563, 559, 27582, 548, 330, 10177, 21239, 269, 4107, 11141, 568, 519, 2949, 1374, 267, 676, 12913, 14676, 3879, 15249, 543, 1582, 17393, 8282, 968, 1260, 14293, 7376, 892, 681, 1014, 24806, 269, 2060, 8642, 1166, 1515, 543, 1035, 8462, 267, 24806, 18327, 5128, 547, 581, 513, 17709, 3059, 2085, 24288, 547, 853, 2946, 874, 2033, 26864, 1301, 2946, 543, 7917, 7136, 514, 563, 2252, 596, 2461, 5461, 538, 13371, 2835, 267, 8458, 616, 596, 4076, 4862, 519, 4408, 15608, 17363, 543, 10793, 17340, 2421, 269, 2991, 782, 267, 741, 11450, 21490, 519, 1259, 585, 519, 13642, 6520, 540, 14676, 4098, 538, 519, 476, 3707, 271, 338, 269, 2060, 634, 3203, 540, 519, 17363, 543, 17340, 2421, 22456, 676, 4460, 5345, 534, 1512, 267, 1451, 811, 827, 519, 5918, 334, 945, 11827, 29810, 3197, 899, 18279, 3013, 543, 9995, 2006, 267, 22885, 519, 2856, 540, 15832, 14676, 267, 543, 2813, 513, 1007, 3044, 585, 519, 11964, 540, 6760, 267, 7262, 267, 543, 16897, 13371, 2835, 269, 6875, 513, 1413, 3330, 519, 1585, 3344, 540, 741, 4876, 267, 543, 1294, 930, 540, 519, 1568, 602, 3989, 873, 563, 10144, 723, 1044, 6998, 803, 1946, 594, 8359, 519, 1981, 540, 1101, 13629, 513, 1433, 540, 6965, 1354, 13629, 1250, 4015, 540, 2110, 2984, 5990, 966, 6579, 6369, 12283, 5508, 700, 20846, 543, 1250, 1101, 3209, 267, 5990, 623, 6369, 294, 16604, 269, 4208, 10131, 513, 1603, 4876, 593, 519, 1394, 540, 971, 513, 20495, 543, 10002, 641, 983, 1106, 540, 3332, 888, 7069, 1101, 2626, 814, 1044, 602, 607, 513, 16994, 23507, 337, 540, 519, 17076, 5261, 590, 1002, 1676, 267, 594, 4941, 547, 900, 3634, 1010, 4876, 282, 1101, 607, 513, 6801, 1222, 23071, 630, 514, 1250, 2247, 1070, 543, 2034, 267, 607, 513, 21184, 540, 519, 3203, 540, 1975, 7505, 6478, 563, 3719, 519, 1875, 635, 14037, 2601, 568, 4502, 7713, 1934, 281, 2429, 1169, 2101, 22184, 540, 1480, 9740, 543, 10340, 2676, 22437, 4479, 814, 9738, 513, 2101, 2990, 538, 519, 8552, 540, 1480, 6575, 282, 3020, 2066, 2486, 267, 4529, 267, 12084, 543, 5553, 563, 1607, 546, 27681, 2540, 540, 6639, 267, 3621, 543, 7499, 9740, 282, 713, 5736, 649, 4867, 21078, 538, 267, 568, 519, 9868, 547, 519, 1480, 4341, 563, 2171, 723, 22121, 938, 2702, 547, 5660, 17826, 585, 824, 811, 6899, 543, 561, 2444, 643, 1190, 17915, 269, 1284, 723, 796, 3598, 2740, 519, 2283, 2225, 547, 23365, 6000, 538, 519, 7067, 7297, 540, 606, 1148, 602, 649, 267, 607, 513, 2249, 723, 6738, 899, 513, 16392, 10786, 538, 519, 1480, 4677, 267, 547, 2892, 557, 519, 24074, 538, 938, 20339, 543, 938, 8186, 4586, 3528, 7432, 938, 19758, 593, 1346, 3636, 7067, 7297, 649, 723, 8697, 6000, 269, 1284, 616, 782, 538, 25680, 991, 540, 14317, 563, 4517, 602, 568, 4010, 1018, 17826, 7793, 1227, 267, 20205, 563, 22437, 4479, 5036, 596, 1863, 267, 585, 1863, 2336, 2252, 596, 917, 875, 547, 5469, 543, 2628, 3007, 547, 519, 5705, 2401, 4778, 538, 519, 8552, 540, 707, 2247, 779, 17133, 563, 7617, 568, 513, 7313, 2045, 3364 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8118, 547, 519, 1857, 281, 593, 5130, 476, 273, 267, 543, 593, 519, 14890, 779, 14512, 267, 799, 891, 2395, 568, 593, 5412, 476, 2537, 269, 901, 11180, 23972, 729, 3323, 538, 476, 3707, 279, 630, 4537, 16305, 476, 2537, 1040, 0, 299, 545, 1619, 782, 519, 6337, 593, 713, 3135, 693, 938, 536, 719, 1664, 8666, 8116, 585, 21305, 11147, 267, 12383, 543, 7851, 540, 3567, 1063, 519, 476, 5908, 271, 338, 543, 476, 4350, 271, 338, 630, 9288, 25702, 267, 19248, 880, 334, 267, 2038, 8058, 320, 994, 1432, 513, 8748, 3896, 256, 3767, 594, 6557, 782, 562, 1846, 4157, 1662, 4512, 2336, 288, 13037, 10581, 568, 1373, 15504, 1524, 513, 8265, 1282, 19109, 9369, 30778, 1340, 539, 717, 542, 631, 1846, 19441, 267, 799, 3217, 1747, 1282, 5147, 269, 634, 13037, 729, 3323, 950, 538, 476, 279, 7597, 267, 19109, 9369, 729, 7092, 689, 11641, 559, 775, 269, 1635, 1931, 540, 14890, 1530, 328, 11445, 630, 25616, 268, 279, 3199, 267, 17276, 372, 483, 25520, 14035, 358, 7461, 485, 1070, 519, 1004, 540, 19109, 9369, 7281, 539, 547, 519, 5601, 540, 962, 553, 10440, 1744, 9068, 585, 5838, 766, 540, 519, 2068, 269, 1280, 1142, 540, 519, 24239, 29350, 16899, 540, 3567, 267, 513, 21243, 10300, 828, 323, 729, 10268, 267, 1927, 609, 544, 1731, 25493, 630, 335, 23750, 23936, 547, 4163, 513, 5601, 264, 689, 519, 695, 9068, 269, 769, 2663, 1296, 267, 952, 2068, 13264, 856, 1586, 713, 9161, 729, 7368, 269, 898, 729, 1500, 606, 5993, 2680, 538, 476, 280, 3583, 269, 3683, 519, 1296, 267, 519, 13037, 2968, 5051, 14969, 543, 3638, 22278, 3323, 547, 946, 621, 547, 4159, 741, 5763, 269, 4653, 779, 717, 542, 631, 1846, 19441, 630, 28781, 593, 519, 8666, 593, 519, 2451, 264, 1869, 5654, 1360, 1454, 899, 621, 1705, 593, 713, 8666, 689, 519, 476, 6245, 271, 338, 269, 10251, 267, 1360, 1906, 540, 519, 11308, 5656, 540, 1346, 2395, 2611, 563, 763, 5031, 540, 519, 13037, 568, 519, 31959, 540, 519, 7372, 11308, 6083, 1846, 267, 1572, 586, 4821, 630, 31271, 365, 264, 543, 554, 32634, 630, 421, 487, 378, 1040, 1703, 616, 476, 280, 554, 32634, 267, 1142, 20604, 538, 693, 513, 2463, 762, 476, 1321, 9748, 269, 634, 476, 2537, 586, 4821, 616, 4130, 543, 9260, 12341, 1063, 476, 272, 543, 476, 273, 9748, 269, 2353, 519, 6083, 1846, 616, 27905, 3585, 21243, 609, 7148, 652, 1845, 267, 930, 540, 873, 1500, 538, 19109, 9369, 267, 1866, 16865, 689, 13383, 269, 1306, 513, 1804, 1297, 540, 2367, 7485, 519, 581, 1335, 16251, 267, 12372, 1694, 3330, 543, 1404, 13037, 2575, 563, 763, 10581, 2938, 538, 519, 2725, 25702, 16527, 8666, 568, 1572, 17578, 25431, 670, 32634, 630, 10951, 486, 421, 487, 378, 1070, 621, 568, 835, 540, 519, 1034, 29413, 3283, 540, 519, 13037, 269, 17578, 25431, 670, 32634, 22842, 17578, 4157, 8500, 23449, 1100, 631, 1731, 9369, 630, 10951, 486, 14035, 506, 26109, 489, 28374, 16533, 488, 1070, 519, 1744, 20041, 5601, 540, 519, 7599, 269, 4340, 547, 5545, 13299, 267, 519, 5545, 10195, 941, 2813, 676, 519, 5256, 5601, 594, 345, 534, 698, 328, 543, 519, 4775, 5601, 594, 345, 534, 9564, 269, 2290, 1554, 267, 594, 345, 534, 9564, 10523, 538, 27638, 543, 594, 345, 534, 698, 328, 267, 7753, 676, 28194, 4422, 547, 1294, 1200, 538, 519, 896, 16447, 269, 1261, 568, 28280, 676, 1018, 646, 12034, 543, 7904, 525, 2476, 269, 2991, 13059, 547, 519, 2244, 540, 519, 2713, 267, 594, 345, 534, 698, 328, 1625, 5809, 5128, 609, 1216, 269, 1879, 594, 345, 534, 698, 328, 729, 1127, 1010, 2451, 3750, 267, 519, 3141, 15831, 2549, 831, 553, 340, 744, 558, 1731, 9564, 568, 4535, 269, 1879, 646, 729, 1127, 1010, 1318, 3750, 267, 17578, 4157, 8500, 23449, 1100, 631, 1731, 9369, 568, 4535, 269, 1879, 646, 6368, 729, 1127, 1010, 9224, 267, 519, 7088, 5601, 19626, 5622, 1100, 631, 1731, 9369, 568, 4535, 269, 634, 8545, 568, 519, 5601, 602, 519, 1004, 540, 19109, 9369, 7281, 539, 547, 693, 962, 553, 10440, 1744, 9068, 950, 19109, 9369, 11641, 559, 775, 986, 3022, 998, 519, 2749, 538, 476, 279, 7597, 563, 24464, 538, 2757, 856, 22327, 7485, 513, 554, 32634, 1524, 513, 8265, 454, 4002, 519, 3135, 540, 3703, 4793, 2946, 568, 513, 14980, 3377, 516, 601, 6029, 519, 717, 542, 631, 1846, 19441, 540, 476, 4572, 279, 269, 1703, 616, 2907, 1082, 2413, 5656, 267, 855, 513, 2370, 2757, 6189, 1869, 3788, 563, 16524, 942, 3567, 17055, 1520, 2349, 1678, 652, 6359, 333, 814, 606, 5140, 4367, 547, 519, 717, 542, 631, 1846, 19441, 593, 1010, 5816, 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 ]
[ 0, 6701, 596, 11842, 827, 519, 2640, 540, 595, 20792, 13813, 286, 1403, 9811, 267, 1224, 593, 269, 769, 713, 5816, 267, 649, 786, 2263, 930, 540, 519, 24036, 3282, 2640, 585, 2960, 267, 4552, 543, 1454, 811, 563, 290, 20792, 3282, 568, 513, 1826, 540, 1898, 3282, 602, 814, 1044, 1031, 585, 5215, 540, 1296, 538, 2757, 4915, 563, 290, 20792, 3282, 568, 6508, 689, 519, 6418, 13626, 540, 4054, 538, 519, 12593, 595, 4883, 600, 558, 636, 269, 898, 814, 513, 25970, 267, 6653, 543, 3636, 32709, 799, 2306, 621, 3730, 585, 12906, 7752, 2805, 269, 595, 20792, 3282, 949, 581, 1031, 547, 1118, 1651, 1619, 16853, 267, 3282, 23399, 267, 1212, 4461, 543, 13526, 6979, 269, 595, 20792, 3282, 568, 513, 2067, 16185, 585, 3983, 7362, 607, 1134, 2336, 1103, 930, 4529, 267, 24036, 3282, 568, 2808, 1898, 585, 7657, 28666, 9702, 3536, 971, 607, 11945, 2650, 267, 22481, 2650, 543, 824, 8286, 1500, 609, 1585, 5162, 23601, 2249, 269, 3367, 593, 547, 917, 811, 827, 713, 3282, 602, 2501, 689, 606, 3504, 24996, 563, 288, 10374, 3778, 2986, 595, 20792, 13813, 912, 763, 946, 540, 24036, 3282, 7389, 1394, 547, 811, 982, 476, 275, 267, 1822, 1296, 3516, 950, 6592, 2963, 4951, 602, 621, 729, 1031, 676, 3504, 21072, 547, 1118, 544, 27186, 267, 2377, 531, 2719, 12862, 543, 1651, 1619, 269, 9147, 16380, 849, 3893, 741, 3946, 593, 24036, 3282, 267, 1141, 789, 1031, 621, 607, 606, 21428, 549, 4134, 13519, 543, 606, 1884, 573, 1774, 1996, 1085, 23705, 542, 588, 902, 563, 763, 6259, 18318, 4547, 713, 3282, 547, 2342, 1317, 540, 922, 16392, 1871, 1282, 10120, 2053, 269, 769, 519, 2250, 267, 621, 814, 1044, 1031, 585, 2295, 3676, 267, 607, 606, 21428, 549, 4134, 13519, 267, 543, 607, 513, 10826, 585, 11926, 540, 519, 838, 22220, 269, 898, 729, 849, 1031, 585, 2960, 543, 4552, 563, 763, 3282, 814, 1044, 1031, 538, 3504, 2053, 585, 513, 3099, 540, 1114, 5301, 602, 616, 711, 1175, 3908, 547, 5986, 543, 4915, 855, 849, 3769, 922, 946, 538, 3909, 18428, 563, 763, 3282, 540, 24036, 568, 3812, 538, 12868, 267, 3624, 543, 16444, 20092, 563, 19119, 2986, 595, 20792, 13813, 454, 26123, 21072, 267, 16380, 543, 14564, 782, 6785, 519, 2640, 540, 24036, 3282, 267, 543, 922, 946, 538, 4915, 5170, 547, 581, 28125, 2221, 563, 2171, 5000, 596, 547, 1413, 693, 930, 540, 519, 2640, 540, 24036, 3282, 585, 4552, 267, 2960, 267, 3068, 543, 2015, 4946, 621, 547, 707, 3232, 1072, 20786, 563, 19119, 2986, 595, 20792, 13813, 1280, 16164, 454, 763, 4527, 540, 4550, 268, 31038, 1218, 2306, 713, 3282, 513, 1434, 11134, 547, 1521, 3141, 321, 5281, 267, 17079, 17486, 267, 530, 11301, 543, 1022, 540, 1346, 30919, 602, 3112, 581, 646, 4705, 3728, 1210, 824, 11955, 269, 4706, 4550, 13611, 3601, 786, 15983, 14867, 596, 689, 621, 577, 1465, 267, 543, 593, 1283, 540, 602, 267, 922, 4550, 268, 31038, 656, 3601, 786, 849, 1118, 707, 2960, 5347, 543, 21743, 2899, 1586, 563, 9989, 595, 20792, 13813, 21079, 16959, 1145, 2986, 634, 16164, 888, 290, 20792, 3282, 585, 2960, 2337, 609, 3819, 1145, 543, 890, 9934, 540, 519, 2960, 269, 1411, 949, 1265, 621, 5363, 950, 596, 723, 3819, 15649, 593, 707, 3068, 610, 824, 2694, 540, 707, 1560, 269, 4635, 713, 1587, 1522, 849, 1450, 930, 2960, 23209, 712, 566, 547, 979, 2476, 269, 595, 20792, 3282, 585, 2960, 568, 4122, 1031, 607, 513, 2067, 4244, 547, 1427, 26096, 610, 824, 811, 7199, 2960, 3249, 2472, 563, 19119, 2986, 595, 20792, 13813, 1280, 16164, 15302, 454, 2005, 568, 2009, 547, 946, 621, 1996, 26253, 267, 27728, 543, 1022, 2960, 3676, 602, 616, 3361, 676, 17343, 269, 901, 568, 1317, 891, 5563, 616, 1419, 15427, 676, 3819, 2916, 610, 4411, 4365, 269, 1452, 2175, 2014, 2960, 2042, 267, 1519, 621, 577, 1465, 267, 25017, 543, 11926, 267, 799, 1291, 547, 3968, 610, 6553, 952, 711, 23174, 5612, 269, 1403, 713, 4523, 267, 1287, 7311, 24036, 3282, 547, 519, 2960, 786, 6961, 3730, 585, 596, 563, 28274, 24036, 1898, 3282, 1283, 1227, 568, 1434, 585, 8156, 6553, 269, 898, 666, 849, 948, 538, 17212, 1324, 519, 1928, 3361, 676, 2960, 2042, 269, 634, 3282, 786, 849, 3986, 1973, 10009, 543, 1118, 707, 2960, 2281, 2635, 782, 936, 1586, 563, 19119, 2986, 595, 20792, 13813, 1280, 8131, 454, 290, 20792, 3282, 1898, 814, 21734, 3601, 543, 814, 1978, 7135, 602, 666, 21391, 694, 321, 636, 2504, 269, 1530, 321, 636, 568, 606, 522, 1176, 21131, 602, 267, 950, 9658, 1540, 593, 519, 3068, 267, 666, 2014, 18383, 563, 290, 20792, 3282, 585, 3068, 849, 3568, 21734, 3601, 267, 3226, 1996, 11330, 542, 756, 1461, 1756, 1035, 5886, 269, 2290, 1353, 1336, 602, 595, 4883, 600, 558, 636, 22101, 807, 630, 322, 817, 807, 24036, 264, 6978, 3282, 1185, 519, 1034, 1713, 7409, 7480, 2360, 593, 623, 269, 1035, 5886, 543, 729, 849, 519, 2547, 6757, 547, 3339, 2960, 2281, 267, 10834, 922, 1761, 607, 606, 2500, 18383, 2126, 563, 763, 7848, 540, 24036, 1898, 3282, 609, 824, 2067, 5820, 7472, 1360, 2318, 2164, 585, 18383, 950, 4294, 1283, 1227, 269, 901, 568, 1390, 547, 946, 952, 596, 616, 4466, 621, 2352, 547, 4019, 24036, 3282, 2047, 593, 707, 3068, 269, 1280, 1383, 267, 519, 7848, 540, 24036, 1898, 3282, 609, 7401, 3529, 1898, 3282, 568, 811, 2500, 538, 4227, 18383, 2094, 1312, 11041, 723, 1884, 1047, 10364, 7907, 563, 9827, 267, 6423, 281, 595, 2988, 816, 12708, 13813, 11588, 1280, 8131, 454, 290, 20792, 13813, 11588, 1280, 22458, 454, 763, 2702, 540, 24036, 3282, 547, 1852, 546, 6387, 2504, 2306, 621, 606, 5140, 5848, 584, 6500, 269, 589, 1353, 3370, 538, 519, 4139, 4750, 540, 32536, 1108, 1336, 856, 602, 2527, 1645, 24036, 3282, 883, 519, 2960, 814, 606, 7525, 1198, 538, 4227, 546, 663, 745, 742, 543, 9013, 21435, 1166, 1136, 269, 898, 3568, 1164, 2157, 540, 14434, 799, 1599, 607, 513, 2067, 29089, 894, 267, 7551, 7303, 15451, 2208, 593, 5701, 4552, 563, 9989, 595, 20792, 13813, 715, 712, 880, 634, 2480, 531, 335, 286, 1923, 11588, 2986, 595, 20792, 13813, 1280, 2480, 531, 335, 454, 290, 20792, 3282, 585, 4552, 568, 3638, 538, 1898, 9761, 7408, 971, 607, 15060, 268, 274, 543, 15060, 268, 277, 267, 1818, 621, 513, 1434, 5848, 584, 6500, 585, 3819, 9470, 1186, 269, 1635, 19620, 7509, 547, 519, 2960, 267, 621, 6971, 21422, 543, 2337, 2061, 19849, 23035, 1166, 1389, 563, 8448, 7135, 1459, 1331, 8324, 589, 267, 645, 272, 267, 645, 273, 543, 595, 267, 799, 948, 12954, 1973, 10009, 693, 519, 21435, 1377, 543, 2569, 4552, 2530, 676, 3246, 4105, 5567, 585, 32235, 547, 2736, 1524, 2025, 2281, 543, 3132, 1007, 4552, 2281, 563, 19119, 2986, 595, 20792, 13813, 1280, 22458, 12618, 1656, 16473, 774, 15619, 22458, 454, 763, 14434, 1459, 538, 24036, 1898, 3282, 616, 2111, 547, 2061, 1591, 3441, 3361, 676, 1863, 18119, 630, 1729, 343, 1231, 1070, 7551, 7303, 519, 12614, 540, 4552, 2530, 543, 6067, 3539, 540, 4552, 563, 1103, 513, 1353, 3370, 538, 24695, 339, 8839, 3194, 267, 24036, 13626, 3282, 4951, 2318, 2164, 538, 5009, 1007, 4552, 2208, 543, 4227, 15454, 24827, 538, 6923, 12457, 25647, 14918, 1310, 22521, 3498, 585, 476, 2764, 2395, 563, 8448, 7135, 971, 607, 943, 11209, 1938, 543, 552, 1872, 523, 565, 1336, 538, 24036, 3282, 666, 3895, 1973, 10009, 693, 519, 21435, 1858, 267, 799, 568, 1271, 585, 2635, 32235, 3056, 547, 606, 2333, 538, 4552, 2208, 563, 290, 20792, 13813, 17121, 13716, 338, 454, 2467, 616, 930, 11959, 602, 1223, 2049, 609, 24036, 1898, 3282, 267, 971, 607, 13027, 3346, 27150, 267, 7929, 2042, 267, 3750, 16698, 267, 543, 2960, 6547, 269, 1717, 267, 713, 4523, 547, 581, 606, 22166, 2864, 982, 513, 3020, 14711, 282, 4061, 267, 596, 1131, 581, 3908, 1152, 547, 1360, 1804, 13066, 540, 713, 6219, 1354, 2348, 606, 8801, 5114, 563, 2252, 596, 723, 3810, 6213, 2960, 267, 621, 568, 5227, 547, 798, 513, 15429, 1449, 1354, 1210, 519, 3282, 593, 1804, 2127, 540, 519, 1560, 610, 4552, 563, 31807, 3539, 1656, 19554, 454, 763, 3282, 666, 581, 12349, 689, 2199, 7966, 9313, 610, 2228, 269, 1280, 1655, 2164, 267, 2327, 602, 596, 1152, 4444, 6986, 24036, 1898, 3282, 563, 2005, 568, 1655, 547, 4558, 707, 24036, 3282, 538, 513, 4158, 267, 3579, 1747, 1141, 621, 786, 711, 581, 6534, 547, 7943, 610, 3002, 269, 0, 19667, 516, 328, 22560, 6168, 29621, 281, 590, 1030, 518, 645, 699, 880, 527, 454, 1607, 3018, 649, 2253, 547, 1224, 519, 22560, 2899, 1586, 269, 1284, 723, 1175, 8737, 519, 962, 558, 570, 990, 574, 543, 723, 9976, 519, 18710, 540, 519, 22560, 602, 13201, 1335, 814, 2016, 721, 269, 2353, 540, 28822, 531, 962, 529, 549, 601, 2253, 4195, 543, 616, 2016, 519, 4316, 547, 711, 1152, 3398, 519, 22560, 543, 1451, 689, 922, 2984, 543, 5378, 345, 341, 582, 267, 855, 547, 2648, 1142, 1268, 602, 13201, 1335, 814, 2813, 269, 769, 29807, 1002, 2142, 3306, 527, 649, 1265, 835, 540, 519, 4493, 540, 1946, 649, 1058, 1331, 1169, 1268, 538, 28822, 531, 962, 529, 549, 601, 543, 1169, 1268, 538, 519, 1158, 269, 2201, 519, 15795, 1554, 540, 5137, 519, 22560, 3081, 968, 341, 599, 643, 19207, 4432, 758, 574, 1696, 1185, 600, 914, 345, 531, 15879, 892, 13201, 1335, 5932, 812, 263, 1348, 1004, 264, 538, 1010, 1378, 3239, 269, 2353, 1004, 941, 2813, 538, 13201, 1335, 779, 3239, 543, 649, 917, 602, 13201, 1335, 779, 3239, 568, 3501, 269, 3143, 2339, 1018, 2110, 5765, 513, 1268, 1522, 723, 267, 646, 568, 1869, 2813, 538, 13201, 1335, 779, 3239, 563, 5472, 540, 721, 723, 28919, 543, 2591, 269, 2368, 540, 938, 2591, 616, 811, 7298, 1287, 824, 3283, 269, 1809, 649, 782, 723, 873, 269, 1656, 649, 782, 616, 6068, 8449, 676, 13201, 1335, 5103, 519, 2591, 649, 3068, 563, 2171, 849, 782, 723, 7221, 543, 7907, 602, 1118, 721, 2189, 543, 2027, 269, 1284, 991, 547, 1451, 547, 5660, 519, 15421, 602, 1142, 540, 721, 723, 543, 2648, 543, 2463, 1142, 824, 519, 1259, 13201, 1335, 2813, 721, 267, 538, 1010, 3239, 267, 914, 2763, 12661, 4432, 758, 574, 267, 536, 685, 344, 778, 611, 563, 763, 7736, 540, 29807, 1002, 25424, 12909, 827, 2679, 519, 18975, 540, 645, 8475, 269, 2311, 519, 4098, 540, 713, 28828, 330, 621, 14753, 827, 875, 741, 729, 9322, 538, 519, 1158, 269, 15526, 12038, 519, 1482, 1893, 543, 5249, 1927, 269, 1358, 5249, 536, 685, 344, 778, 611, 267, 1927, 269, 1809, 519, 1004, 1185, 519, 4316, 547, 1491, 713, 9322, 543, 946, 621, 8350, 1335, 1744, 600, 599, 574, 268, 547, 1350, 528, 1518, 13201, 1335, 269, 1358, 1223, 723, 3144, 741, 960, 1927, 543, 3710, 513, 1158, 602, 6854, 5378, 345, 341, 582, 543, 4553, 519, 22560, 779, 1259, 540, 1272, 269, 5502, 519, 1004, 540, 519, 5108, 1310, 25424, 1705, 9409, 543, 5609, 2740, 1996, 1142, 824, 269, 1358, 588, 1961, 267, 789, 23689, 267, 789, 1705, 711, 2463, 741, 8284, 812, 269, 13201, 1335, 4718, 713, 543, 4956, 602, 713, 729, 711, 519, 1259, 646, 4941, 1004, 547, 13789, 269, 4475, 646, 13264, 909, 741, 9322, 676, 4758, 1142, 4182, 513, 1114, 1893, 269, 634, 1004, 1100, 3476, 6956, 1142, 824, 543, 1100, 3476, 1223, 960, 1927, 269, 1548, 568, 519, 5048, 649, 1451, 689, 713, 1650, 286, 898, 568, 1271, 585, 721, 547, 2463, 543, 1416, 827, 1169, 1268, 602, 649, 2097, 883, 3346, 609, 269, 1284, 991, 547, 3314, 1018, 649, 4121, 538, 2142, 3306, 527, 602, 1142, 1268, 267, 7488, 540, 741, 15421, 610, 2591, 267, 568, 2813, 968, 321, 564, 2763, 12661, 4432, 758, 574, 892, 538, 13201, 1335, 779, 3239, 269, 3962, 1268, 19262, 547, 581, 5701, 2687, 547, 519, 5048, 540, 519, 22560, 267, 543, 538, 519, 1259, 540, 519, 5378, 345, 341, 582, 269, 8307, 1287, 666, 649, 8087, 3025, 779, 1893, 1586, 543, 723, 3025, 960, 1927, 267, 536, 685, 344, 778, 611, 563, 1103, 29807, 1002, 2274, 577, 2274, 15939, 649, 1451, 875, 2997, 12646, 630, 21406, 2997, 1090, 1869, 264, 568, 5143, 676, 13201, 1335, 547, 4734, 1010, 22657, 543, 979, 547, 661, 4958, 345, 2052, 22528, 630, 29994, 1040, 1261, 3217, 1010, 562, 19991, 543, 7385, 30960, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 4014, 2127, 3564, 3084, 16278, 616, 6552, 585, 1034, 1004, 789, 5352, 519, 2011, 596, 13236, 267, 519, 1426, 596, 3548, 543, 9793, 519, 2916, 269, 5020, 6818, 2429, 519, 5836, 267, 689, 519, 2627, 547, 519, 26026, 539, 269, 23496, 621, 2640, 3025, 2713, 2221, 267, 607, 1134, 607, 2104, 5481, 267, 786, 4096, 593, 713, 1985, 5123, 540, 7598, 519, 8978, 14097, 269, 0, 21545, 762, 9198, 2209, 281, 1323, 11137, 454, 21545, 762, 18402, 616, 1507, 267, 5985, 1379, 3761, 602, 2488, 3167, 1379, 547, 6552, 610, 1055, 3766, 5090, 4025, 269, 9198, 2209, 616, 2966, 547, 581, 17426, 543, 2653, 547, 4163, 267, 1818, 873, 4998, 585, 15143, 547, 519, 13122, 924, 610, 960, 4609, 267, 607, 1134, 607, 6595, 1379, 2115, 269, 5800, 762, 18402, 2097, 538, 513, 2039, 540, 19206, 543, 7306, 267, 543, 666, 581, 13324, 676, 17405, 267, 17088, 267, 610, 4412, 2033, 563, 19119, 540, 5800, 762, 9198, 2209, 454, 3519, 1597, 1466, 5800, 762, 18402, 616, 2966, 547, 581, 2653, 547, 1847, 543, 2322, 909, 269, 901, 2306, 873, 5078, 547, 581, 1031, 538, 513, 3099, 540, 4025, 267, 971, 607, 22742, 15143, 267, 2816, 4609, 267, 543, 6595, 1379, 2115, 269, 634, 15409, 2470, 540, 891, 18402, 2306, 621, 2241, 547, 1205, 519, 1379, 596, 2154, 267, 693, 519, 942, 543, 1747, 596, 2154, 621, 563, 309, 619, 12546, 281, 5800, 762, 18402, 2097, 538, 513, 3099, 540, 7306, 267, 8151, 689, 1507, 1769, 3631, 267, 799, 616, 3501, 585, 22742, 15143, 547, 3677, 3631, 602, 666, 1379, 707, 1753, 538, 606, 6595, 269, 2368, 3631, 1256, 2097, 609, 2789, 19093, 267, 865, 596, 666, 5279, 2789, 3457, 693, 519, 1482, 942, 563, 763, 10727, 540, 15409, 18402, 616, 3710, 547, 581, 6325, 543, 14463, 269, 3509, 3631, 2097, 609, 606, 12747, 6453, 7939, 607, 1134, 607, 1970, 268, 11798, 9505, 4752, 267, 799, 666, 948, 547, 2061, 519, 11718, 689, 1373, 8697, 543, 8831, 922, 14438, 563, 21798, 634, 1942, 540, 15409, 18402, 568, 3622, 14949, 982, 19335, 18402, 267, 799, 2306, 873, 606, 3015, 3903, 585, 1346, 538, 991, 540, 606, 6595, 1379, 2707, 610, 945, 991, 513, 2707, 540, 5201, 585, 9205, 2238, 563, 17653, 2209, 585, 6595, 1379, 9198, 2209, 602, 616, 15409, 666, 581, 513, 3730, 3926, 585, 18002, 602, 2154, 1379, 269, 769, 519, 2680, 540, 513, 1379, 856, 720, 519, 15409, 11718, 786, 3761, 5201, 547, 1832, 519, 8279, 1396, 267, 21067, 4881, 267, 543, 707, 1753, 3579, 610, 12699, 563, 1692, 5800, 762, 9198, 2209, 4518, 454, 21545, 762, 18402, 6460, 519, 1648, 540, 7344, 3157, 883, 5201, 269, 901, 568, 6913, 676, 606, 4835, 13674, 2599, 267, 602, 568, 13324, 676, 17405, 267, 17088, 610, 4412, 2033, 269, 634, 2599, 11479, 606, 3124, 1807, 267, 799, 12958, 20367, 1699, 630, 3722, 264, 5201, 269, 901, 5201, 568, 1287, 10736, 547, 1463, 1699, 630, 17584, 264, 5201, 998, 513, 6439, 8595, 543, 6740, 538, 519, 1106, 540, 513, 6007, 269, 634, 6007, 2488, 5201, 547, 519, 11718, 779, 5122, 19093, 267, 799, 2636, 596, 547, 2196, 707, 3457, 543, 14233, 563, 2252, 596, 1616, 547, 8415, 519, 15409, 11718, 621, 568, 2556, 547, 1921, 621, 547, 519, 3457, 610, 14233, 596, 8910, 899, 547, 1683, 1379, 547, 269, 5800, 762, 18402, 723, 3875, 19093, 267, 1519, 6671, 5122, 19093, 607, 1134, 607, 18292, 16788, 269, 2368, 3631, 1256, 723, 513, 3710, 2987, 4483, 6467, 267, 602, 13071, 596, 3362, 6467, 1063, 11718, 1379, 543, 7470, 1648, 538, 2013, 540, 606, 1379, 856, 720, 563, 32552, 19047, 585, 5800, 762, 9198, 2209, 454, 21545, 762, 18402, 616, 3710, 547, 581, 5150, 267, 2705, 621, 568, 2629, 547, 1246, 519, 10672, 779, 4808, 543, 7747, 1697, 3106, 15416, 269, 11408, 1224, 519, 8261, 540, 519, 8227, 1354, 1210, 15409, 18402, 543, 15666, 547, 519, 4808, 540, 519, 10672, 585, 5106, 543, 5826, 563, 2080, 616, 513, 1906, 2629, 3354, 9270, 547, 7703, 538, 2247, 950, 5665, 15409, 18402, 912, 32552, 538, 519, 946, 540, 4492, 281, 11408, 3442, 519, 1318, 17405, 585, 519, 11718, 596, 616, 1210, 267, 543, 4558, 519, 4492, 538, 513, 2922, 543, 5150, 4087, 269, 634, 10173, 267, 1519, 17405, 267, 616, 3810, 1166, 30100, 543, 1223, 2014, 3595, 950, 711, 17411, 7157, 563, 21080, 20764, 7976, 281, 9198, 2209, 602, 616, 15409, 5305, 3327, 24785, 799, 568, 513, 14686, 3154, 602, 1223, 2014, 4049, 7063, 610, 1256, 2669, 269, 5269, 2386, 596, 946, 513, 15409, 11718, 538, 513, 5887, 23624, 1858, 269, 8550, 946, 621, 3330, 707, 1753, 267, 25880, 267, 610, 824, 20583, 2127, 563, 20376, 12053, 540, 15379, 16811, 281, 11272, 18402, 1711, 3167, 1699, 602, 666, 581, 5739, 952, 711, 17411, 5265, 269, 7427, 519, 5528, 540, 519, 10672, 585, 8220, 543, 1210, 519, 11718, 269, 4746, 267, 1118, 2386, 547, 2666, 519, 11718, 1991, 547, 946, 563, 14611, 5199, 281, 8617, 5826, 568, 1271, 547, 2327, 519, 1279, 3856, 3106, 543, 10727, 540, 707, 15409, 11718, 269, 901, 3322, 5464, 519, 1377, 540, 3282, 267, 21757, 519, 6882, 543, 13868, 519, 8141, 11690, 2073, 952, 2838, 269, 898, 568, 1271, 547, 723, 707, 11718, 13761, 676, 513, 14468, 3318, 1169, 865, 1419, 547, 2327, 621, 779, 5665, 9108, 543, 5265, 563, 20175, 5004, 2422, 513, 15409, 11718, 609, 606, 954, 6674, 610, 4483, 6467, 543, 798, 711, 1921, 621, 2047, 547, 519, 5122, 1062, 269, 901, 666, 2061, 1394, 16567, 267, 799, 666, 581, 5906, 547, 10626, 4600, 543, 3441, 707, 5122, 1062, 563, 1103, 3932, 15409, 18402, 616, 8465, 543, 22237, 1379, 2707, 602, 2488, 1379, 538, 513, 3099, 540, 5468, 269, 6787, 596, 616, 1210, 621, 585, 22742, 610, 2816, 4609, 267, 610, 1256, 585, 18002, 621, 568, 2629, 547, 1246, 1697, 3106, 15416, 543, 547, 3442, 513, 11718, 602, 10742, 707, 1880, 1379, 4170, 269, 1635, 1210, 513, 11718, 602, 568, 15409, 596, 666, 1205, 519, 1379, 596, 2154, 20471, 543, 1022, 2897, 596, 2154, 621, 269, 0, 20075, 13069, 779, 2067, 2200, 1331, 7733, 267, 32394, 640, 267, 6886, 267, 6694, 2244, 267, 8933, 267, 12647, 267, 2842, 1648, 267, 3165, 543, 7320, 563, 17442, 9835, 324, 268, 272, 568, 513, 32394, 10451, 6728, 602, 3029, 851, 540, 519, 6276, 7345, 5741, 563, 7197, 540, 20563, 6013, 593, 519, 8225, 1744, 1752, 267, 1141, 972, 616, 1082, 3638, 7791, 2200, 1519, 7733, 267, 7320, 543, 3165, 269, 23117, 602, 2196, 1055, 519, 8225, 1744, 1752, 883, 519, 853, 269, 18039, 8899, 4133, 543, 6276, 7345, 616, 513, 1804, 2707, 540, 32394, 1379, 269, 20563, 779, 21394, 948, 1118, 909, 585, 922, 3668, 540, 8093, 4492, 2200, 630, 5408, 6276, 7345, 5741, 282, 31527, 268, 5226, 2946, 13069, 1916, 1103, 1840, 547, 741, 2956, 607, 7320, 7226, 267, 20563, 779, 1082, 15195, 12647, 543, 8933, 2709, 16351, 3255, 269, 634, 853, 269, 18039, 5211, 568, 513, 1883, 6283, 8905, 563, 14187, 7779, 6694, 11934, 616, 3908, 547, 519, 7013, 6712, 540, 519, 11662, 2282, 519, 853, 269, 18039, 543, 519, 31747, 5211, 269, 1809, 20563, 16034, 2034, 630, 12898, 3703, 12052, 264, 538, 519, 7607, 540, 922, 1804, 4104, 539, 1858, 563, 21132, 1271, 7777, 2200, 1331, 4401, 267, 4154, 543, 930, 3490, 8407, 563, 1103, 7187, 20563, 267, 2282, 6276, 7345, 267, 513, 1804, 595, 872, 2551, 5170, 547, 17215, 4096, 593, 3165, 543, 7320, 269, 634, 6276, 7345, 595, 872, 849, 4309, 2883, 7418, 689, 519, 6276, 7345, 10451, 6728, 13684, 593, 595, 872, 543, 27478, 2950, 538, 519, 476, 3192, 271, 338, 630, 5408, 6276, 7345, 5741, 1916, 20075, 13069, 779, 4390, 547, 5352, 1379, 689, 2842, 1648, 568, 2034, 1152, 547, 14411, 269, 769, 476, 1001, 279, 267, 20563, 1185, 476, 1789, 829, 1298, 540, 4516, 779, 4390, 585, 2842, 24378, 5201, 269, 0, 1432, 779, 606, 7379, 300, 15613, 888, 2005, 781, 1271, 585, 32005, 4648, 9706, 847, 819, 619, 547, 723, 606, 21091, 28814, 5004, 4640, 538, 1747, 547, 4308, 609, 556, 24593, 2590, 2591, 563, 763, 1852, 540, 1284, 2644, 267, 28814, 543, 15302, 538, 519, 5026, 32005, 543, 21443, 640, 2872, 568, 606, 5571, 4161, 585, 1034, 32005, 4648, 1315, 9439, 945, 2429, 519, 11706, 1032, 3068, 519, 19175, 540, 2348, 547, 4308, 609, 930, 4990, 540, 18290, 267, 11641, 543, 2068, 1966, 538, 741, 9036, 563, 11997, 267, 621, 568, 1271, 602, 519, 19995, 814, 538, 1747, 606, 21091, 28814, 5004, 630, 7709, 300, 264, 4640, 547, 4308, 609, 1022, 540, 891, 9648, 2042, 563, 1103, 519, 5177, 267, 972, 568, 513, 4214, 540, 7379, 300, 602, 519, 6554, 3096, 602, 2501, 689, 519, 6034, 633, 593, 519, 12655, 2422, 540, 623, 4382, 1938, 630, 24746, 7894, 1070, 799, 666, 581, 2938, 1934, 563, 1607, 6034, 633, 20964, 513, 5943, 547, 3035, 513, 4264, 946, 540, 13851, 676, 4227, 519, 4220, 543, 5222, 540, 23561, 946, 593, 1480, 1072, 543, 519, 1604, 543, 5009, 519, 946, 540, 7471, 11641, 2359, 543, 540, 4244, 4485, 610, 2553, 971, 607, 1875, 2275, 8707, 8925, 547, 13851, 563, 1607, 4214, 2306, 621, 2312, 602, 7379, 300, 6227, 782, 5739, 7103, 267, 1519, 18047, 267, 10860, 267, 543, 3676, 269, 898, 849, 2306, 621, 2312, 602, 7379, 300, 1058, 7854, 513, 2647, 2039, 540, 2238, 602, 9305, 547, 5883, 7693, 4027, 543, 2030, 1072, 689, 10047, 267, 3099, 3903, 267, 14713, 267, 11976, 267, 5464, 267, 7344, 267, 6211, 267, 543, 3114, 1852, 998, 547, 2594, 268, 15209, 799, 6645, 721, 602, 519, 6554, 1935, 547, 7379, 300, 568, 2647, 538, 9165, 563, 763, 2832, 540, 7598, 606, 7379, 300, 4640, 568, 547, 21028, 543, 6218, 519, 2547, 17672, 1259, 540, 9013, 519, 1966, 1510, 519, 7050, 946, 540, 13851, 563, 763, 1523, 540, 7379, 300, 267, 607, 7150, 676, 3220, 2051, 514, 631, 636, 5112, 267, 2037, 341, 340, 779, 14502, 8081, 15440, 568, 21246, 958, 972, 616, 1614, 3982, 2127, 540, 2359, 602, 32005, 9946, 543, 3039, 26283, 723, 693, 741, 1852, 563, 3383, 267, 519, 1101, 568, 519, 2686, 1852, 2409, 267, 4553, 676, 6211, 8060, 543, 1287, 3791, 569, 267, 3114, 1852, 543, 621, 781, 538, 602, 1931, 602, 789, 1058, 581, 5645, 856, 563, 29973, 569, 606, 7379, 300, 4640, 568, 912, 268, 13876, 2358, 519, 1966, 563, 268, 4197, 519, 1272, 4783, 543, 519, 2175, 891, 10860, 267, 18047, 543, 3676, 12797, 563, 268, 21744, 519, 1604, 563, 268, 22043, 2686, 2853, 563, 268, 22043, 6211, 2853, 563, 268, 19805, 519, 2953, 3114, 1587, 543, 7311, 693, 519, 1318, 942, 563, 268, 7033, 532, 540, 23833, 2238, 630, 23755, 543, 2686, 2409, 1916, 268, 16424, 543, 10916, 1239, 543, 5329, 513, 2594, 540, 3527, 267, 543, 4093, 786, 948, 2087, 707, 1702, 543, 2359, 540, 1022, 2104, 11641, 1644, 2042, 563, 763, 5383, 602, 621, 3947, 547, 32005, 9946, 568, 602, 789, 2811, 711, 8380, 782, 741, 5798, 538, 835, 11127, 607, 621, 941, 269, 1358, 2811, 10825, 519, 1981, 267, 5883, 519, 32005, 998, 1585, 1797, 602, 782, 9148, 1142, 824, 267, 6721, 513, 8902, 32005, 602, 779, 1732, 2111, 547, 16641, 6285, 689, 3676, 543, 10860, 563, 2005, 6770, 1082, 2640, 267, 711, 1152, 547, 519, 9744, 543, 1439, 3755, 267, 855, 5849, 513, 10930, 1604, 585, 782, 563, 22958, 3320, 1210, 4264, 2686, 630, 874, 9713, 1070, 6211, 543, 824, 1875, 2275, 8707, 2409, 1590, 581, 9053, 547, 3114, 2409, 952, 789, 1683, 25685, 11641, 1852, 269, 1879, 13851, 616, 2877, 267, 519, 1445, 568, 593, 8939, 3283, 602, 616, 3617, 543, 1034, 2500, 563, 1432, 1281, 621, 1611, 585, 32005, 888, 7709, 300, 814, 1044, 1472, 585, 513, 1279, 942, 267, 2523, 538, 519, 24972, 12734, 2872, 855, 267, 609, 2810, 2825, 4145, 543, 9431, 2242, 3056, 547, 513, 5786, 540, 2139, 13851, 267, 972, 779, 1044, 606, 2799, 1719, 538, 606, 7379, 300, 1935, 547, 5883, 32005, 563, 31010, 513, 2635, 521, 1189, 568, 513, 1883, 14487, 547, 4227, 519, 11841, 540, 1022, 2016, 32005, 18290, 267, 11641, 543, 2068, 1966, 1247, 693, 519, 1482, 942, 23248, 4227, 519, 16126, 593, 1210, 513, 3114, 1852, 1587, 563, 2467, 616, 1896, 2686, 2853, 602, 786, 948, 2226, 513, 2635, 521, 1189, 267, 891, 2097, 538, 519, 1106, 540, 2834, 5826, 2238, 602, 991, 547, 581, 2944, 2429, 519, 1032, 543, 3226, 1282, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 0, 17138, 281, 1215, 547, 2142, 606, 1323, 830, 10886, 540, 2659, 14893, 692, 7072, 912, 2304, 830, 814, 1831, 513, 2518, 7613, 609, 922, 2189, 9423, 267, 9159, 3197, 267, 543, 10875, 23877, 269, 1403, 596, 4312, 2479, 26927, 3139, 540, 4742, 606, 30682, 1915, 610, 6220, 2609, 689, 707, 5172, 30682, 2982, 883, 707, 1272, 267, 713, 3102, 3391, 786, 948, 1118, 602, 14810, 513, 4641, 269, 1635, 1739, 891, 3268, 267, 596, 666, 2981, 3054, 883, 519, 30682, 1915, 540, 707, 3903, 1247, 4509, 513, 2631, 540, 23141, 543, 5876, 269, 8528, 3721, 476, 272, 281, 7994, 2659, 1323, 830, 10886, 6184, 17508, 454, 20058, 267, 2824, 606, 30682, 1915, 945, 24889, 609, 596, 269, 6333, 741, 7209, 7592, 267, 5920, 267, 5759, 267, 543, 1394, 32143, 950, 1818, 707, 3375, 269, 901, 1915, 1058, 23679, 4865, 7907, 596, 23507, 610, 29954, 790, 547, 723, 269, 19805, 513, 1915, 5702, 13988, 609, 707, 2418, 543, 4690, 786, 1450, 585, 513, 811, 8076, 1995, 607, 596, 900, 3634, 873, 780, 7659, 9669, 912, 268, 8838, 585, 513, 1915, 4171, 5920, 568, 24276, 998, 688, 1009, 1803, 2242, 267, 7802, 5079, 267, 543, 17539, 2553, 2864, 982, 32601, 1560, 2010, 610, 28531, 2934, 563, 268, 29922, 513, 1134, 25454, 1915, 609, 9342, 543, 12755, 5849, 3666, 543, 8887, 1464, 780, 3721, 476, 273, 281, 5530, 2659, 932, 4923, 10886, 454, 10932, 707, 6074, 1915, 8499, 676, 8384, 14501, 10023, 873, 267, 2542, 30841, 11271, 267, 543, 3695, 10178, 1148, 269, 9796, 1880, 3007, 547, 741, 6073, 3359, 267, 4633, 3270, 267, 7215, 267, 543, 4205, 609, 824, 3197, 269, 25800, 3054, 609, 741, 4282, 1650, 543, 18144, 269, 4197, 891, 3344, 2636, 596, 547, 8308, 9446, 519, 1915, 781, 9759, 780, 21980, 3894, 912, 268, 6875, 4967, 593, 1808, 4162, 543, 5615, 17820, 676, 707, 6074, 1915, 563, 268, 13772, 610, 1224, 1543, 2789, 2053, 952, 2556, 547, 4628, 9787, 741, 1268, 320, 780, 3721, 476, 274, 281, 11154, 1849, 5847, 13910, 454, 24823, 622, 2609, 540, 707, 5697, 1915, 781, 20758, 549, 2041, 883, 707, 3232, 30933, 269, 901, 949, 1331, 9849, 2147, 4778, 267, 17234, 267, 610, 17960, 2404, 609, 519, 1915, 269, 1717, 267, 2057, 18187, 908, 24853, 12816, 1152, 1282, 2027, 14026, 1369, 519, 30682, 8259, 3617, 585, 1483, 3734, 2621, 269, 24367, 513, 3666, 1063, 8508, 519, 1915, 781, 2511, 543, 20170, 547, 6848, 8155, 568, 2629, 780, 7659, 18745, 912, 268, 13773, 13533, 540, 2686, 3604, 950, 8939, 7802, 3688, 6273, 676, 5545, 6752, 3466, 563, 268, 29114, 528, 856, 22327, 2687, 547, 2123, 4313, 543, 2916, 9270, 780, 3721, 476, 275, 281, 12794, 1009, 344, 1782, 9828, 454, 16987, 2939, 609, 688, 1009, 5138, 24188, 540, 707, 6074, 1915, 781, 688, 2273, 334, 855, 2327, 789, 616, 15164, 585, 707, 2067, 4552, 1826, 610, 530, 12127, 269, 22982, 18908, 1782, 2472, 267, 3002, 2645, 267, 24909, 267, 610, 2681, 5574, 838, 2130, 569, 547, 1711, 11029, 12381, 1510, 4929, 3441, 269, 8617, 5826, 543, 909, 18141, 786, 8190, 519, 30682, 30816, 1413, 780, 19522, 912, 268, 13693, 3318, 18935, 1235, 5432, 609, 30682, 16654, 688, 1844, 7491, 585, 5583, 563, 268, 2422, 10151, 3435, 971, 607, 17157, 6823, 533, 3415, 339, 5661, 610, 2212, 27512, 1354, 22867, 547, 27290, 2242, 780, 3721, 476, 276, 281, 5269, 1575, 13335, 454, 7343, 569, 30143, 547, 3986, 11132, 2934, 543, 17932, 519, 5920, 540, 707, 6074, 1915, 269, 10312, 593, 2127, 971, 607, 32071, 4900, 267, 22442, 10449, 267, 17534, 267, 543, 1025, 2313, 269, 3194, 2442, 30682, 17539, 2553, 2228, 543, 2259, 7311, 1585, 5654, 2394, 17117, 568, 6913, 269, 19573, 531, 17634, 6087, 3811, 7004, 780, 7659, 13832, 912, 268, 26875, 1125, 2960, 1072, 676, 1210, 1164, 7779, 17539, 2472, 543, 9427, 30143, 3781, 569, 563, 268, 3680, 25718, 27105, 610, 796, 11499, 17539, 6163, 1455, 538, 1978, 30682, 11964, 780, 3721, 476, 277, 281, 20429, 3525, 1637, 454, 19138, 707, 1915, 781, 5639, 3159, 267, 12334, 267, 4320, 267, 543, 20020, 547, 6451, 741, 13047, 16082, 883, 707, 1378, 6340, 4806, 269, 6657, 17187, 5188, 16965, 267, 2519, 593, 1102, 3005, 2798, 543, 3929, 10291, 1459, 538, 519, 3312, 2707, 1570, 269, 5457, 602, 2347, 32649, 1522, 581, 4101, 282, 3079, 267, 2832, 585, 6667, 6508, 689, 519, 1915, 781, 3982, 4633, 3270, 780, 30131, 11872, 912, 268, 4676, 1778, 689, 19249, 707, 5639, 23494, 610, 9846, 267, 607, 3257, 865, 1223, 8833, 13047, 27871, 543, 11874, 1764, 2792, 1983, 563, 268, 11644, 13657, 950, 1110, 6819, 9739, 538, 1857, 5468, 547, 2061, 10539, 610, 21390, 1851, 9905, 780, 3721, 476, 278, 281, 10610, 5678, 1299, 5403, 675, 454, 22860, 2763, 707, 1915, 781, 1560, 1893, 267, 17267, 267, 543, 14302, 547, 9772, 2147, 2168, 6208, 269, 5776, 7381, 899, 513, 1036, 531, 16502, 267, 3802, 18390, 609, 7682, 633, 26058, 267, 610, 2226, 11419, 995, 735, 3837, 28330, 547, 17715, 5869, 1149, 269, 4427, 1479, 11941, 3565, 3648, 547, 8756, 532, 519, 1648, 543, 4527, 540, 707, 6074, 30682, 4137, 780, 7659, 29362, 912, 268, 27297, 875, 4648, 20310, 569, 791, 3205, 622, 14070, 3197, 538, 2661, 12644, 610, 25780, 585, 4704, 563, 268, 15233, 4121, 2623, 7930, 543, 29596, 267, 9319, 7142, 5322, 610, 936, 716, 532, 780, 6962, 912, 3528, 5402, 1739, 891, 5722, 3268, 267, 596, 666, 6707, 18220, 519, 6891, 540, 707, 6074, 30682, 1915, 1247, 8497, 707, 22464, 543, 3961, 269, 22737, 519, 1184, 2898, 27329, 569, 2943, 3314, 547, 10880, 513, 3666, 1063, 535, 24655, 7071, 543, 1582, 22325, 269, 11086, 267, 14120, 1018, 2306, 721, 1480, 1247, 19825, 519, 5898, 540, 14318, 11942, 2208, 267, 4276, 267, 543, 7772, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 6826, 513, 1323, 830, 10886, 540, 2659, 14893, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 3848, 476, 1015, 281, 20154, 2372, 652, 910, 10289, 519, 3733, 560, 673, 11202, 540, 2672, 325, 1143, 692, 5970, 596, 2479, 9289, 1018, 621, 1797, 547, 723, 513, 2620, 4276, 609, 1945, 3152, 982, 3054, 286, 9320, 596, 4312, 5433, 6537, 547, 2307, 2462, 2055, 827, 1272, 267, 899, 945, 616, 649, 267, 1946, 616, 649, 1934, 267, 543, 875, 666, 649, 1831, 1732, 1004, 286, 1403, 865, 267, 1287, 596, 2811, 2907, 593, 707, 1360, 1378, 5289, 1391, 256, 10801, 1686, 267, 1082, 1004, 723, 24389, 593, 741, 1378, 2189, 15322, 2509, 4466, 4514, 2495, 543, 3483, 538, 1272, 269, 2290, 971, 1895, 2501, 689, 519, 4190, 13795, 540, 10764, 1472, 519, 1158, 1107, 10950, 547, 519, 4241, 7706, 540, 2672, 325, 1143, 2439, 3383, 267, 1175, 1018, 568, 2672, 325, 1143, 286, 4746, 1634, 607, 26800, 1177, 342, 18860, 267, 2672, 325, 1143, 568, 606, 6418, 267, 25386, 2460, 540, 5771, 269, 5994, 2348, 513, 5728, 4677, 3330, 707, 2295, 1141, 596, 1332, 17681, 5810, 540, 11587, 267, 8296, 267, 9639, 267, 543, 2648, 998, 8220, 609, 16589, 630, 18661, 1040, 2334, 779, 2186, 540, 1018, 8026, 2672, 325, 529, 798, 256, 1358, 1445, 593, 3384, 891, 8748, 7907, 543, 14637, 513, 2178, 6125, 609, 519, 23942, 998, 6411, 540, 2648, 267, 23502, 267, 543, 20174, 780, 3086, 267, 1577, 781, 1900, 1394, 538, 942, 1927, 543, 1451, 811, 827, 875, 2672, 325, 1143, 3459, 543, 7960, 2429, 1686, 269, 1306, 5771, 3262, 2066, 1585, 3338, 267, 1114, 2516, 4646, 1369, 519, 4984, 267, 1142, 10771, 1978, 3344, 789, 1336, 6209, 269, 15907, 519, 27630, 2540, 9460, 267, 930, 7332, 5640, 3323, 3695, 741, 5132, 3564, 21286, 3909, 2616, 1734, 899, 32467, 543, 17509, 269, 5502, 267, 789, 8359, 547, 13404, 593, 741, 4835, 2833, 543, 4606, 1247, 4509, 2463, 585, 2757, 9099, 4978, 543, 2853, 269, 3683, 942, 267, 891, 2038, 32339, 2919, 513, 3982, 5289, 2245, 1572, 2672, 325, 1143, 780, 9961, 519, 5553, 267, 9118, 15023, 267, 15806, 267, 543, 8723, 11570, 7567, 941, 6273, 676, 2672, 25206, 2219, 543, 2259, 269, 1411, 1522, 1256, 5431, 835, 4583, 2012, 2404, 609, 2672, 325, 1143, 1765, 305, 26619, 256, 1261, 729, 4535, 538, 15787, 855, 6170, 1034, 540, 1010, 1272, 538, 11894, 1282, 519, 3735, 5664, 12698, 269, 681, 26619, 2968, 1134, 8153, 585, 1010, 6965, 4904, 609, 2648, 543, 1279, 532, 585, 9769, 609, 519, 23942, 269, 4634, 2221, 267, 3592, 5216, 4627, 1296, 1310, 646, 5030, 267, 1004, 1869, 1224, 543, 23507, 1010, 1568, 1317, 789, 18991, 7001, 8471, 1480, 4664, 543, 1032, 11789, 780, 1103, 938, 1353, 540, 2672, 325, 1143, 267, 972, 616, 1614, 1898, 2035, 4502, 11362, 883, 2417, 1384, 272, 264, 11146, 630, 528, 10067, 629, 9346, 2567, 2311, 519, 4295, 540, 2672, 325, 1143, 6013, 519, 3661, 602, 16589, 568, 519, 10700, 2707, 540, 782, 2648, 269, 1635, 6679, 909, 938, 12271, 543, 8186, 267, 649, 666, 5963, 1745, 543, 2671, 10143, 2648, 609, 1866, 269, 6056, 827, 2576, 596, 7184, 1416, 827, 267, 899, 513, 1920, 4759, 610, 3659, 269, 1215, 1281, 1373, 2282, 873, 1118, 596, 1745, 286, 3767, 4952, 952, 602, 14246, 1223, 4228, 547, 7854, 3025, 543, 3388, 1472, 596, 269, 30474, 5863, 267, 26001, 286, 28552, 2672, 325, 529, 11441, 547, 11349, 713, 15962, 1648, 1169, 1554, 780, 273, 264, 8585, 1097, 630, 528, 31670, 332, 1695, 2567, 6271, 1271, 6240, 538, 2672, 325, 1143, 568, 6029, 23502, 543, 8296, 547, 6000, 543, 1866, 269, 1879, 5185, 609, 2591, 267, 3079, 540, 3478, 21616, 610, 13347, 267, 2119, 8380, 3054, 538, 2576, 3116, 781, 10887, 269, 4197, 5012, 547, 6568, 267, 799, 2337, 1628, 6793, 4296, 1063, 1004, 269, 9578, 267, 8156, 13951, 9900, 4422, 1688, 538, 1688, 609, 14178, 11587, 547, 1866, 269, 3807, 3314, 602, 18864, 568, 3501, 282, 649, 2811, 782, 1565, 543, 3395, 2059, 938, 1367, 10092, 780, 274, 264, 8061, 10056, 630, 528, 594, 21112, 1695, 2567, 14936, 267, 13991, 10847, 4249, 513, 1713, 1909, 538, 2672, 325, 1143, 269, 2755, 3232, 19001, 616, 2629, 267, 2672, 325, 529, 3494, 602, 1022, 2962, 5340, 609, 5609, 1356, 640, 543, 11009, 666, 1831, 606, 957, 540, 20174, 269, 6787, 2542, 2835, 267, 5986, 6980, 267, 4730, 5026, 267, 610, 2870, 1148, 267, 4376, 3587, 13411, 950, 2944, 2898, 27329, 569, 609, 6986, 15752, 269, 1924, 1985, 942, 596, 1265, 7772, 538, 3257, 1945, 596, 2648, 267, 1491, 513, 4090, 547, 5660, 519, 5898, 543, 25736, 538, 602, 2534, 780, 2026, 596, 3136, 11432, 1359, 707, 5289, 3460, 267, 2015, 4946, 2672, 325, 1143, 547, 707, 1592, 540, 31369, 2200, 269, 2060, 922, 8561, 593, 2648, 267, 23502, 267, 543, 20174, 267, 713, 7096, 4082, 540, 5132, 949, 2709, 3407, 4030, 607, 596, 6330, 707, 1259, 4724, 1582, 22523, 543, 2208, 269, 5808, 6487, 32503, 1522, 1256, 2328, 513, 6648, 14693, 11589, 707, 4555, 543, 4606, 827, 707, 9058, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 18860, 1143, 267, 849, 1634, 607, 26800, 1177, 342, 18860, 267, 568, 606, 6418, 267, 25386, 10155, 540, 5771, 602, 11394, 547, 6536, 513, 2123, 267, 1463, 1995, 540, 2696, 269, 901, 5289, 2619, 568, 1419, 4330, 607, 519, 2295, 540, 5771, 267, 2519, 593, 2648, 267, 23502, 267, 543, 20174, 269, 898, 814, 1044, 13736, 676, 6634, 540, 12356, 585, 5553, 267, 12018, 519, 9099, 1158, 609, 922, 3638, 10752, 543, 2853, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 9759, 540, 2672, 325, 1143, 267, 21048, 4979, 922, 1292, 3741, 543, 28975, 267, 3246, 606, 538, 3829, 1620, 540, 713, 5289, 2619, 543, 922, 4644, 1369, 519, 9099, 5132, 269, 15012, 721, 607, 649, 2263, 519, 9159, 1158 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 8269, 3005, 4016, 547, 519, 1689, 538, 4287, 540, 513, 5951, 950, 621, 16716, 513, 10465, 1063, 1079, 1114, 2923, 269, 1879, 3280, 9356, 1055, 7252, 267, 621, 3029, 3982, 3270, 1572, 18759, 269, 13038, 18759, 9648, 1369, 20583, 5624, 1267, 538, 1950, 13779, 3270, 267, 3056, 547, 26871, 828, 725, 602, 5581, 2189, 17974, 22782, 540, 1346, 5624, 269, 1635, 22392, 14436, 3601, 540, 2326, 16298, 6821, 267, 2781, 559, 902, 267, 19683, 267, 543, 824, 4835, 3889, 267, 9858, 666, 1852, 2949, 5605, 4800, 543, 9355, 540, 3280, 12093, 780, 27028, 26975, 6257, 519, 7503, 540, 3280, 1648, 883, 3002, 2390, 11495, 24338, 1570, 269, 10049, 10110, 8795, 5232, 540, 3280, 1759, 593, 4908, 9832, 267, 24186, 267, 543, 2627, 11315, 1145, 269, 2552, 13764, 10338, 2337, 7413, 13311, 6846, 267, 2087, 4633, 4111, 2225, 267, 543, 3666, 26871, 828, 656, 7907, 540, 5624, 780, 9558, 3939, 4386, 950, 3280, 10596, 998, 513, 5420, 796, 16442, 1229, 1247, 4509, 922, 4909, 3601, 269, 1717, 267, 1978, 12451, 949, 22887, 10663, 811, 3533, 982, 1866, 1282, 6771, 267, 4470, 593, 519, 5420, 781, 5888, 269, 9182, 267, 8939, 3617, 4070, 2326, 3587, 1898, 538, 3156, 8506, 6417, 3280, 10072, 267, 971, 607, 10821, 5656, 267, 10506, 267, 543, 2575, 2259, 11623, 780, 11795, 3555, 25701, 547, 519, 19755, 540, 6329, 1472, 9465, 610, 519, 10825, 540, 6329, 1310, 8429, 998, 606, 6679, 269, 2311, 1970, 12451, 267, 3280, 15225, 8766, 18236, 3379, 547, 1164, 12451, 269, 9747, 267, 8888, 6099, 8301, 1949, 3340, 6297, 7156, 540, 1312, 10584, 1747, 906, 543, 5304, 27939, 12417, 780, 277, 269, 274, 10724, 4804, 17738, 543, 26426, 2091, 10241, 692, 13146, 8441, 538, 5841, 4987, 543, 3684, 1565, 2709, 3078, 7399, 585, 900, 6819, 3280, 18640, 538, 3059, 13502, 269, 12824, 693, 20037, 543, 22126, 23846, 3642, 6997, 2919, 513, 3684, 1565, 2203, 5827, 540, 17782, 875, 19700, 13498, 4992, 538, 3309, 6753, 1369, 1614, 8820, 5624, 269, 4635, 2147, 2409, 6964, 538, 3308, 476, 274, 291, 9781, 267, 891, 3631, 4020, 2143, 17974, 11269, 540, 5054, 780, 4322, 14262, 7835, 3180, 10373, 1761, 585, 2870, 10853, 5691, 4641, 2833, 267, 2442, 569, 17941, 519, 13849, 2091, 269, 2037, 29058, 4977, 6041, 540, 3280, 18640, 2429, 5691, 10600, 10597, 3593, 21599, 543, 6278, 269, 3958, 267, 971, 2029, 10741, 9885, 585, 6552, 5698, 538, 3318, 5468, 899, 7574, 12644, 267, 19014, 267, 610, 3872, 11925, 5342, 1369, 3838, 5691, 5624, 780, 4913, 267, 2591, 2611, 3823, 8308, 13830, 13857, 3344, 540, 3280, 8226, 6766, 676, 26575, 3350, 543, 2825, 2934, 269, 4329, 7634, 543, 17634, 616, 2838, 547, 2232, 891, 2152, 4628, 269, 11048, 267, 15834, 21769, 28043, 1035, 24065, 923, 267, 6323, 267, 2780, 2257, 267, 543, 4702, 3136, 11319, 6302, 4724, 16734, 5051, 10427, 5691, 5054, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 568, 811, 982, 476, 272, 1032, 2025, 454, 300, 22389, 1565, 1382, 538, 1035, 24065, 923, 1223, 1930, 909, 1617, 574, 27567, 13849, 2091, 454, 297, 1722, 1869, 856, 593, 2436, 1022, 2186, 540, 13849, 2091, 568, 14553, 2556, 454, 12867, 693, 20037, 543, 519, 22126, 23846, 3642, 6997, 723, 2813, 513, 3684, 1565, 2203, 547, 3589, 1018, 513, 26575, 1131, 5873, 538, 513, 3099, 540, 6753, 1369, 513, 476, 274, 291, 2230, 563, 763, 3173, 1101, 1031, 519, 16066, 2203, 547, 1174, 875, 1022, 3280, 538, 513, 4055, 786, 29608, 998, 519, 2230, 267, 2679, 909, 513, 4605, 540, 513, 476, 274, 291, 4055, 538, 519, 1482, 1259, 1004, 946, 3280, 547, 1174, 741, 1604, 563, 1103, 513, 1957, 1071, 22052, 23482, 676, 962, 559, 684, 13660, 267, 606, 20037, 5552, 2875, 538, 519, 4972, 540, 15379, 7177, 543, 8950, 3163, 630, 292, 4488, 306, 1070, 519, 3173, 1397, 875, 2553, 2147, 547, 3308, 476, 274, 291, 9781, 666, 581, 4294, 547, 1035, 24065, 923, 563, 3719, 789, 849, 17388, 609, 2609, 1141, 3280, 543, 1769, 11651, 613, 269, 1280, 1383, 267, 4657, 519, 4087, 540, 519, 26575, 538, 513, 4055, 666, 1711, 513, 1360, 1114, 12705, 540, 519, 3280, 1813, 547, 9465, 267, 519, 3337, 540, 519, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 895, 31666, 566, 257, 607, 851, 540, 834, 306, 11799, 1315, 3600, 24065, 923, 1299, 14675, 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, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 10764, 256, 5620, 596, 2479, 9289, 827, 1114, 4978, 543, 2853, 602, 1004, 1472, 519, 8608, 1246, 286, 2107, 6148, 596, 4312, 11432, 1229, 2390, 875, 891, 3661, 1949, 3357, 547, 581, 286, 1403, 865, 267, 1287, 713, 1576, 1770, 568, 3501, 585, 596, 256, 1284, 786, 2263, 1585, 10764, 267, 741, 12583, 267, 543, 1256, 5905, 2390, 930, 7242, 3098, 269, 1924, 10544, 707, 7279, 543, 1577, 781, 4685, 1318, 538, 2439, 4131, 781, 1376, 609, 1945, 2241, 2943, 10578, 1107, 519, 3017, 1063, 1395, 6139, 1143, 543, 4874, 1492, 1143, 269, 3933, 6139, 1143, 568, 18468, 538, 1152, 835, 5601, 267, 1247, 4874, 1492, 1143, 1797, 26902, 6235, 2789, 10971, 269, 1280, 1383, 267, 8567, 267, 5771, 267, 543, 17194, 616, 1395, 6139, 2065, 10764, 607, 789, 3494, 538, 1175, 835, 2696, 269, 2201, 519, 824, 1688, 267, 3504, 16380, 543, 14564, 941, 4874, 1492, 1235, 1317, 789, 7281, 539, 547, 1082, 24587, 899, 28736, 267, 623, 846, 573, 517, 267, 23723, 320, 267, 543, 811, 2439, 3086, 4952, 2348, 513, 10143, 2149, 528, 4481, 585, 707, 1753, 269, 4270, 267, 538, 930, 4529, 267, 972, 941, 8197, 2820, 514, 885, 6131, 9003, 547, 10820, 256, 1452, 834, 15965, 514, 885, 540, 519, 535, 1195, 518, 257, 14478, 936, 3885, 267, 8744, 873, 25736, 543, 4027, 269, 898, 781, 3592, 899, 2348, 513, 27369, 21425, 2713, 1318, 693, 707, 7450, 21163, 2439, 2026, 649, 1847, 4464, 267, 1577, 721, 2911, 827, 3909, 4720, 269, 9894, 596, 917, 602, 1082, 2413, 10764, 723, 5072, 2620, 1369, 3504, 3283, 286, 6875, 4906, 267, 631, 603, 6652, 267, 543, 1772, 529, 607, 8320, 269, 3962, 5129, 1713, 5107, 538, 741, 9757, 5132, 338, 267, 799, 2663, 6766, 1018, 649, 917, 2221, 607, 8567, 267, 2098, 19660, 770, 6929, 1143, 267, 543, 9147, 12266, 4984, 780, 2171, 849, 7237, 1585, 6698, 543, 2984, 950, 4974, 10764, 269, 2290, 971, 14745, 568, 1572, 513, 1412, 332, 2814, 1108, 3529, 540, 16350, 8339, 901, 3239, 2982, 4296, 1851, 10971, 267, 12325, 267, 543, 19416, 5515, 676, 18995, 8371, 14178, 689, 3844, 11937, 269, 6056, 540, 621, 607, 513, 1920, 3529, 267, 855, 3079, 540, 796, 3380, 543, 31225, 338, 267, 596, 1265, 10971, 543, 1629, 580, 16104, 2439, 11101, 267, 6138, 4249, 513, 2629, 1909, 538, 1620, 10764, 1932, 269, 1635, 6313, 7440, 543, 6436, 6069, 676, 15806, 267, 649, 666, 1732, 10146, 3309, 16752, 3823, 5289, 6927, 269, 5999, 971, 607, 834, 9989, 2696, 2291, 8119, 610, 834, 1432, 4523, 1310, 2669, 8119, 1831, 20501, 2899, 649, 5490, 883, 10952, 5717, 780, 15563, 267, 1810, 1405, 7340, 519, 1764, 6530, 814, 593, 4984, 256, 3776, 4555, 267, 4664, 267, 543, 5615, 616, 5702, 13615, 547, 938, 4978, 269, 4475, 267, 1565, 827, 5626, 3344, 2337, 721, 9787, 1946, 1978, 12738, 610, 2853, 3180, 7096, 2956, 585, 21071, 780, 3383, 1934, 7475, 938, 5618, 4663, 540, 13354, 10764, 269, 5457, 267, 2463, 543, 22371, 616, 1883, 950, 7234, 2576, 3116, 781, 5132, 269, 2991, 782, 267, 1169, 4984, 3091, 2189, 4030, 883, 1272, 781, 13655, 267, 5935, 2043, 543, 2950, 5001, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9824, 580, 542, 267, 2622, 9671, 687, 267, 22414, 15215, 910, 3807, 519, 5013, 593, 519, 1158, 781, 10764, 269, 5442, 293, 22593, 295, 2975, 281, 589, 670, 4007, 10934, 2986, 634, 2622, 781, 9671, 687, 269, 16241, 5525, 910, 589, 5426, 269, 6258, 9671, 687, 910, 6651, 547, 519, 27801, 338, 543, 9671, 687, 540, 519, 2622, 269, 595, 2464, 301, 7838, 910, 2578, 549, 801, 328, 521, 592, 548, 8356, 913, 4984, 328, 910, 4741, 585, 5525, 538, 1715, 9671, 687, 563, 26123, 9671, 687, 1656, 3733, 2195, 269, 13660, 1135, 2814, 2946, 1143, 324, 14193, 1395, 1054, 2946, 1143, 324, 1612, 1024, 327, 1993, 6872, 1147, 2637, 6053, 269, 13660, 1135, 2814, 2946, 1143, 324, 14193, 1395, 1054, 2946, 1143, 324, 808, 15530, 639, 631, 603, 571, 1772, 529, 563, 299, 525, 2820, 8181, 15530, 5918, 535, 1195, 518, 1612, 1024, 327, 1993, 6872, 1147, 2637, 6053, 269, 15776, 2820, 8181, 15530, 5918, 535, 1195, 518, 563, 21008, 894, 9671, 687, 269, 16241, 2598, 7611, 22414, 1353, 540, 10764, 269, 20154, 640, 269, 634, 1686, 540, 782, 10764, 6045, 538, 835, 4241, 8642, 269, 1215, 4984, 814, 7960, 269, 3502, 9985, 4977, 267, 855, 9090, 4277, 269, 19088, 1108, 2389, 872, 6361, 17393, 1417, 27970, 630, 297, 303, 9680, 12005, 267, 476, 14321, 274, 6398, 476, 3445, 280, 19641, 264, 910, 2480, 4705, 630, 7830, 8472, 589, 3391, 547, 5601, 269, 13898, 540, 15215, 563, 20329, 1108, 543, 15215, 269, 5259, 7506, 269, 16684, 19848, 1670, 13979, 547, 519, 5530, 540, 15215, 269, 15610, 540, 4039, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 989, 1026, 5350, 2872, 267, 5214, 543, 4264, 6683, 723, 1831, 5051, 1271, 1813, 547, 3395, 7082, 3747, 585, 8902, 1426, 3681, 543, 4145, 827, 2825, 6940, 269, 634, 7771, 540, 2757, 10683, 8105, 538, 519, 2136, 2276, 2488, 606, 4316, 547, 4983, 519, 2804, 4229, 693, 1404, 538, 713, 5823, 543, 875, 789, 1764, 6705, 267, 6800, 267, 543, 519, 1604, 269, 901, 1576, 1770, 786, 2263, 891, 2152, 676, 6313, 519, 2591, 5185, 676, 1507, 8397, 10683, 6705, 267, 519, 4473, 540, 4853, 12051, 3484, 546, 1515, 625, 267, 543, 1761, 3435, 585, 2870, 513, 811, 12581, 543, 4264, 1426, 1062, 780, 5575, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 5214, 543, 4264, 6683, 269, 17667, 6683, 4016, 547, 8105, 2853, 602, 2057, 10991, 18168, 267, 13851, 267, 16220, 9168, 7103, 267, 543, 11216, 610, 2208, 10399, 538, 13184, 269, 5502, 267, 5214, 6705, 7048, 593, 2067, 2409, 971, 607, 7693, 10047, 267, 24600, 267, 543, 6211, 11641, 1852, 269, 12655, 6683, 4422, 3564, 5214, 2853, 543, 13315, 513, 11455, 1935, 547, 5883, 2244, 543, 2200, 547, 2327, 1279, 3856, 8733, 3666, 543, 1514, 1134, 5630, 269, 898, 11363, 8497, 9265, 267, 4227, 3653, 267, 5009, 3662, 10304, 267, 543, 5885, 2199, 11615, 780, 763, 7771, 540, 2757, 10683, 8105, 538, 519, 2136, 2276, 666, 581, 11911, 547, 1896, 2188, 267, 1519, 14051, 267, 28051, 267, 543, 6639, 1689, 269, 1306, 4123, 7496, 723, 15468, 543, 6283, 3790, 723, 17379, 267, 1804, 8397, 4853, 10683, 4238, 723, 7153, 267, 1419, 4092, 538, 4525, 609, 2539, 4074, 543, 9431, 3790, 269, 1452, 803, 8615, 1673, 1515, 625, 666, 3132, 5144, 811, 10464, 569, 982, 4130, 8397, 4238, 1813, 547, 11615, 540, 4336, 267, 7463, 3937, 267, 543, 1569, 547, 3854, 269, 1717, 267, 741, 7269, 2501, 693, 513, 1942, 547, 6917, 2950, 267, 1920, 11396, 267, 543, 519, 1604, 780, 22102, 8397, 10683, 6705, 3068, 1713, 2591, 12721, 1996, 891, 7372, 4238, 269, 1358, 1419, 3668 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 3575, 540, 556, 785, 17621, 5743, 1186, 689, 519, 27472, 2358, 5487, 680, 663, 10483, 676, 3638, 543, 8949, 4158, 10217, 269, 8347, 713, 8748, 28031, 5652, 6492, 563, 13731, 5733, 28688, 1234, 785, 17621, 454, 17359, 6765, 1344, 1934, 269, 20780, 707, 8285, 3529, 547, 1272, 609, 713, 3043, 10217, 556, 785, 17621, 267, 2893, 593, 513, 1167, 540, 32068, 5144, 10217, 267, 4988, 609, 2699, 543, 3039, 20057, 956, 269, 654, 571, 5529, 538, 1591, 2684, 2033, 543, 13615, 609, 513, 2699, 26781, 547, 1118, 513, 30018, 8285, 3529, 23732, 269, 15604, 9042, 10678, 4166, 1284, 4312, 3773, 707, 6221, 547, 519, 11127, 256, 6744, 719, 18172, 269, 1411, 949, 849, 899, 269, 1234, 785, 17621, 12182, 28688, 645, 558, 2041, 609, 15794, 332, 718, 3298, 269, 22320, 2659, 13574, 8285, 10326, 269, 13845, 7035, 664, 28688, 2667, 24142, 269, 12098, 534, 28688, 7732, 13340, 476, 275, 645, 1513, 269, 12594, 6176, 829, 575, 2433, 6052, 737, 329, 898, 5654, 899, 596, 949, 581, 1210, 513, 1357, 11422, 602, 649, 1810, 1405, 1489, 269, 7490, 946, 1776, 1357, 11422, 547, 1205, 519, 2407, 966, 20076, 1995, 269, 0, 313, 597, 935, 807, 18032, 616, 5189, 547, 519, 25185, 2344, 607, 519, 29260, 1570, 540, 3903, 269, 4256, 3043, 2681, 267, 1979, 24899, 6312, 2225, 267, 543, 1164, 7344, 3601, 723, 1500, 873, 1360, 2442, 269, 1452, 4496, 6954, 18032, 616, 5097, 9447, 676, 11455, 24782, 5001, 563, 1432, 1772, 4437, 24899, 6312, 1043, 19239, 3588, 888, 18693, 24899, 6312, 1043, 25185, 568, 513, 1106, 540, 25185, 602, 10039, 1808, 8790, 17467, 585, 2564, 1949, 585, 11455, 1646, 269, 898, 6212, 593, 519, 3095, 1063, 707, 5023, 543, 707, 1560, 267, 6236, 602, 1018, 4523, 538, 707, 5023, 5540, 707, 2898, 1560, 610, 4564, 930, 7700, 2188, 538, 707, 1560, 563, 18693, 24899, 6312, 1043, 5959, 2326, 616, 1875, 3562, 13877, 6878, 602, 1810, 1406, 28148, 1860, 513, 1268, 779, 7350, 950, 1031, 538, 741, 5023, 269, 4746, 267, 24782, 2119, 547, 2057, 12362, 5773, 267, 971, 607, 6391, 267, 950, 1447, 29554, 1797, 616, 12492, 762, 563, 18693, 24899, 6312, 1043, 24782, 948, 596, 2087, 707, 1072, 998, 5959, 9882, 3079, 540, 1175, 6236, 519, 5739, 2360, 540, 16789, 4522, 9882, 563, 5445, 3494, 602, 1978, 4170, 1058, 581, 1558, 547, 3035, 519, 5551, 1072, 540, 707, 5023, 543, 1560, 563, 29804, 2065, 24782, 4125, 519, 6138, 540, 1979, 24899, 6312, 1043, 25185, 538, 741, 2564, 5574, 543, 4019, 2067, 5773, 602, 798, 711, 2800, 519, 1560, 607, 513, 2898, 563, 18693, 24899, 6312, 1043, 25185, 21356, 519, 4551, 538, 707, 5023, 676, 4180, 602, 596, 1246, 1697, 5711, 9882, 563, 5591, 6757, 30836, 454, 4407, 1034, 2757, 24782, 946, 8988, 31498, 600, 30836, 5627, 16035, 267, 513, 6757, 6219, 547, 519, 1560, 267, 11455, 4485, 946, 18300, 13402, 30836, 607, 606, 4244, 269, 1452, 30836, 616, 23287, 676, 2470, 543, 786, 8936, 547, 707, 4522, 24672, 563, 5591, 936, 6165, 540, 21973, 454, 29804, 2065, 24782, 25339, 7311, 1932, 1454, 12071, 528, 728, 267, 607, 789, 2015, 621, 547, 581, 3743, 585, 707, 4522, 685, 7777, 1436, 563, 31880, 528, 728, 568, 513, 2067, 7777, 602, 7472, 19596, 585, 707, 4522, 267, 543, 621, 972, 568, 1932, 1454, 540, 621, 267, 5959, 14806, 2670, 949, 1020, 269, 15482, 14806, 2670, 4386, 1813, 547, 2242, 538, 519, 19596, 1317, 540, 4430, 21973, 267, 799, 568, 1946, 11455, 24782, 1832, 21973, 693, 513, 5934, 267, 543, 4383, 519, 21973, 6981, 563, 5591, 3597, 23668, 454, 305, 2393, 23668, 666, 1450, 4551, 547, 4283, 707, 18072, 267, 4929, 1279, 3856, 8801, 2360, 269, 2755, 1082, 24782, 949, 1685, 713, 5650, 267, 1979, 24899, 6312, 1043, 25185, 3217, 5413, 540, 10930, 267, 1875, 1606, 17790, 2409, 267, 971, 607, 1463, 17870, 1309, 6137, 610, 5102, 13607, 3912, 563, 25565, 2473, 7304, 904, 786, 2333, 519, 1981, 540, 4598, 547, 5982, 267, 799, 568, 519, 2601, 3297, 1896, 1072, 2152, 269, 1452, 2395, 267, 7064, 547, 4359, 2029, 267, 1979, 24899, 6312, 1043, 25185, 2640, 689, 3059, 2473, 17530, 602, 10460, 1100, 971, 4220, 563, 300, 13926, 6363, 872, 15482, 1955, 17852, 454, 3412, 17852, 616, 835, 540, 519, 1034, 6225, 8925, 585, 707, 7508, 4522, 269, 1358, 616, 849, 519, 1034, 2067, 1964, 528, 2510, 538, 519, 2344, 563, 5472, 15498, 20382, 941, 1500, 540, 21419, 1756, 1354, 17375, 18032, 941, 6035, 607, 513, 1454, 1732, 3070, 563, 307, 11939, 1756, 949, 30599, 1372, 543, 2014, 6553, 1472, 519, 15498, 267, 799, 5012, 547, 31971, 21553, 8690, 4345, 269, 901, 2783, 2636, 4551, 547, 28117, 519, 5711, 13570, 267, 21006, 519, 5642, 543, 2571, 8031, 1472, 519, 15498, 269, 9122, 593, 5359, 267, 1082, 2550, 29153, 827, 713, 3390, 563, 307, 11939, 1756, 666, 12954, 16991, 14524, 607, 1134, 269, 901, 5673, 593, 1896, 2188, 267, 971, 607, 707, 11976, 267, 1072, 5615, 267, 543, 824, 6197, 543, 2825, 2609, 563, 12234, 267, 596, 949, 581, 13027, 547, 21419, 1756, 607, 513, 4496, 563, 302, 1537, 27647, 1143, 568, 1776, 1966, 3361, 676, 4496, 18032, 2899, 4294, 2059, 609, 824, 8407, 267, 971, 607, 16035, 30836, 563, 300, 13926, 6954, 5959, 18032, 616, 30630, 607, 513, 10930, 4244, 547, 4496, 18032, 269, 1452, 2010, 540, 18032, 616, 1500, 689, 2098, 597, 935, 807, 267, 513, 4396, 17375, 1570, 602, 568, 2178, 267, 2943, 3810, 1979, 24899, 6312, 1043, 269, 1452, 18032, 723, 7153, 607, 606, 4781, 547, 519, 2025, 4496, 18032, 563, 15253, 1563, 547, 21419, 1756, 267, 789, 2087, 707, 10733, 543, 2949, 1072, 676, 20808, 1447, 15799, 543, 11810, 269, 1717, 267, 789, 616, 811, 14053, 950, 621, 2501, 547, 9882, 563, 307, 11939, 1756, 814, 1044, 1472, 3476, 543, 568, 8810, 547, 581, 513, 6325, 543, 3811, 5959, 15498, 4480, 269, 2311, 519, 1482, 942, 267, 2098, 597, 935, 807, 814, 7902, 607, 513, 6225, 15498, 1062, 609, 811, 1979, 24899, 6312, 2225, 982, 24489, 18032, 563, 763, 11588, 540, 2098, 597, 935, 807, 1955, 17852, 454, 6524, 2098, 597, 935, 1756, 667, 8610, 728, 729, 6964, 607, 606, 15498, 4244, 267, 930, 2757, 17375, 268, 14127, 2553, 941, 8246, 267, 855, 789, 1185, 930, 7687, 543, 28919, 269, 1452, 2409, 1223, 711, 581, 4294, 547, 2127, 609, 1950, 5546, 8506, 1164, 8856, 269, 1358, 941, 811, 942, 21791, 543, 14427, 563, 313, 597, 935, 1756, 667, 8610, 728, 568, 4922, 1031, 538, 14461, 3889, 1317, 621, 2306, 17375, 18032, 1360, 2178, 269, 2098, 597, 935, 807, 23907, 616, 9157, 543, 723, 1434, 8143, 8710, 4187, 563, 4407, 2098, 597, 935, 807, 5959, 18032, 3100, 9621, 267, 789, 723, 930, 11393, 3379, 547, 21419, 1756, 563, 293, 847, 675, 18650, 568, 835, 540, 519, 1034, 1713, 2188, 269, 9282, 2098, 597, 935, 807, 18032, 616, 2178, 267, 789, 616, 811, 2693, 547, 17795, 543, 11523, 3379, 547, 21419, 1756, 267, 609, 2539, 4827, 1116, 4222, 563, 2005, 779, 2352, 547, 2161, 585, 2386, 602, 2098, 597, 935, 807, 18032, 616, 1732, 982, 4496, 3283, 269, 1717, 267, 789, 5838, 2640, 602, 723, 1500, 873, 513, 811, 2442, 4781, 563, 268, 6480, 12060, 281, 2098, 597, 935, 807, 18032, 1413, 1360, 2067, 7064, 547, 741, 5694, 6438, 2681, 269, 1358, 798, 711, 4163, 519, 1981, 540, 32396, 610, 12457, 1145, 563, 268, 13722, 1981, 540, 14711, 281, 30665, 547, 21419, 1756, 607, 513, 4496, 568, 835, 540, 519, 3119, 4128, 585, 519, 8560, 540, 2098, 597, 935, 807, 18032, 563, 268, 13722, 15799, 13250, 281, 9741, 15799, 5250, 543, 5563, 1472, 1990, 597, 935, 807, 18032, 723, 1044, 4080, 267, 799, 568, 2808, 513, 1713, 5413, 563, 268, 3143, 6161, 827, 27647, 545, 2360, 281, 2098, 597, 935, 807, 568, 513, 4057, 8143, 18364, 267, 543, 972, 568, 1100, 991, 547, 5855, 827, 27647, 545, 3527, 799, 2049, 950, 1079, 6850, 17057, 1227, 4744, 25630, 8407, 616, 538, 3346, 563, 5194, 3390, 568, 602, 519, 1279, 3856, 1967, 540, 1990, 597, 935, 807, 18032, 814, 711, 1044, 8810, 3379, 547, 21419, 1756, 18032, 799, 723, 513, 811, 6905, 1686, 538, 25185, 563, 313, 597, 935, 807, 18032, 616, 711, 4052, 585, 15498, 23418, 9285, 7202, 999, 267, 6862, 616, 789, 4052, 950, 621, 2501, 547, 8156, 2550, 945, 991, 782, 741, 4522, 547, 581, 8719, 267, 8506, 513, 3099, 540, 5057, 3681, 563, 2252, 596, 616, 6236, 1904, 532, 585, 18032, 543, 596, 1745, 513, 2098, 597, 935, 807, 15498, 568, 519, 1259, 547, 979, 267, 596, 666, 1865, 707, 4145, 609, 721, 1354, 1818, 519, 3803, 3375, 563, 313, 597, 935, 807, 18032, 616, 2922, 543, 2500, 267, 543, 5838, 5140, 4093, 952, 4294, 7157, 269, 1717, 267, 789, 949, 711, 581, 519, 1655, 3903, 585, 16764, 563, 2791, 616, 5227, 547, 2671, 707, 2564, 1686, 543, 6788, 585, 519, 1655, 2126, 1544, 563, 2791, 666, 3972, 938, 11455, 24782, 267, 945, 786, 1416, 585, 707, 4522, 538, 513, 6899, 1604, 609, 4359, 2553, 563, 5445, 786, 2709, 519, 1034, 10257, 3435, 4470, 593, 707, 5711, 2783, 267, 782, 519, 1247, 2921, 883, 2272, 707, 2949, 1072, 267, 799, 568, 938, 10862, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 0, 8080, 547, 12130, 1886, 1446, 26585, 256, 5620, 596, 2479, 4862, 827, 1346, 6263, 7068, 1572, 28506, 2023, 286, 4270, 267, 789, 616, 5393, 1271, 538, 938, 1353, 2221, 1317, 25132, 1446, 2632, 5505, 946, 741, 15455, 547, 1174, 875, 3047, 781, 2916, 814, 4957, 936, 6634, 540, 1296, 269, 2334, 781, 1318, 910, 649, 666, 1451, 827, 1686, 998, 891, 7141, 344, 2389, 4176, 7103, 2439, 4131, 781, 1376, 609, 930, 9238, 269, 1773, 23975, 2882, 1312, 2371, 630, 874, 12682, 25762, 264, 543, 2831, 630, 15605, 25762, 1070, 799, 2661, 538, 1216, 543, 3112, 7669, 1996, 14768, 269, 3509, 2010, 540, 28506, 2023, 616, 865, 1507, 602, 596, 991, 513, 17209, 547, 1294, 873, 5693, 269, 1879, 20239, 25762, 5884, 267, 789, 4734, 3297, 16115, 1500, 540, 18287, 924, 610, 21958, 269, 3683, 942, 267, 21439, 1628, 909, 693, 519, 5377, 540, 12084, 543, 12647, 267, 8497, 6106, 540, 891, 3788, 269, 1452, 6106, 957, 899, 513, 15415, 267, 3850, 721, 547, 1413, 1394, 883, 3504, 5054, 2439, 3086, 1577, 803, 6338, 596, 547, 1280, 3133, 32070, 267, 849, 1634, 607, 834, 1721, 4461, 2437, 835, 540, 519, 1034, 1455, 2516, 540, 18186, 25762, 6594, 538, 25132, 1446, 26585, 269, 1358, 723, 4190, 669, 3711, 1229, 16115, 1500, 540, 7513, 19941, 269, 1635, 10203, 519, 1297, 540, 20830, 543, 4974, 741, 5546, 267, 3744, 666, 2697, 1114, 2249, 540, 585, 600, 15455, 1175, 899, 12779, 2632, 5505, 5431, 21300, 7633, 2439, 3383, 1946, 1281, 713, 2339, 286, 5994, 952, 649, 1223, 3589, 2104, 4365, 1759, 593, 3270, 689, 519, 2250, 269, 2755, 649, 5749, 1405, 3833, 972, 2943, 267, 1620, 875, 938, 4541, 781, 2916, 814, 17146, 1354, 2337, 721, 5965, 585, 2242, 8345, 1631, 269, 26187, 28895, 585, 4461, 2270, 10881, 827, 3140, 5836, 5210, 543, 7998, 269, 4595, 519, 12084, 10110, 1454, 540, 519, 4430, 3002, 16290, 676, 8511, 9362, 267, 6616, 811, 827, 8978, 4262, 2175, 949, 948, 721, 18783, 2518, 8337, 2360, 780, 2080, 781, 1141, 1919, 1205, 2731, 3579, 269, 5457, 950, 594, 5018, 519, 717, 736, 23860, 25929, 779, 12476, 661, 12509, 543, 30825, 1744, 14823, 630, 23813, 4916, 264, 1788, 4505, 286, 898, 1522, 3100, 20775, 267, 855, 2965, 267, 621, 2982, 875, 10562, 3388, 5963, 568, 269, 1411, 1294, 267, 3006, 2477, 10990, 593, 3652, 3823, 9204, 267, 2523, 585, 29505, 14078, 269, 901, 5540, 1082, 3344, 540, 2413, 2486, 267, 1519, 3621, 1382, 269, 13018, 267, 621, 5222, 7616, 2139, 585, 2090, 899, 23600, 5473, 25132, 1446, 26585, 269, 1924, 1256, 1498, 18688, 4916, 4667, 2484, 6569, 689, 15455, 267, 621, 18549, 7506, 1018, 649, 3605, 827, 938, 4541, 781, 2250, 543, 5732, 922, 2104, 1932, 2439, 1103, 5758, 267, 25132, 1446, 26585, 3096, 6263, 15455, 547, 2995, 2462, 2984, 827, 3047, 781, 1686, 269, 1284, 4121, 827, 28506, 2023, 267, 585, 4461, 267, 543, 875, 741, 1353, 8309, 547, 1620, 2250, 16374, 269, 9282, 9583, 11397, 267, 3486, 4507, 971, 607, 18688, 4916, 1869, 1404, 513, 1909, 538, 5935, 713, 2565, 1858, 540, 2257, 269, 3767, 3884, 1405, 602, 5863, 286, 3807, 1589, 827, 782, 519, 11580, 6456, 1369, 513, 10286, 540, 5070, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1001, 278, 1556, 269, 18733, 274, 18192, 272, 454, 15697, 281, 476, 1704, 5437, 476, 1001, 278, 630, 6734, 281, 2767, 281, 1691, 595, 4953, 994, 763, 4139, 3454, 12512, 630, 3951, 305, 264, 814, 1044, 9927, 1310, 519, 4279, 1234, 20896, 540, 476, 1220, 279, 1700, 1220, 280, 269, 634, 717, 736, 270, 16391, 1436, 585, 9483, 29046, 543, 4886, 630, 302, 25929, 264, 685, 338, 12476, 661, 12509, 543, 30825, 1744, 14823, 630, 23813, 4916, 264, 1788, 630, 1001, 274, 1700, 1001, 276, 264, 814, 21739, 4957, 519, 8668, 305, 267, 4758, 1007, 1272, 547, 519, 2582, 3454, 6240, 630, 514, 2492, 1058, 581, 3454, 539, 2899, 267, 1775, 4318, 1421, 1100, 5595, 21259, 543, 1100, 5595, 1875, 21259, 1040, 31472, 547, 18688, 4916, 814, 9867, 13497, 1063, 519, 9167, 543, 519, 2475, 267, 519, 1079, 4102, 6990, 538, 519, 1158, 269, 769, 519, 9167, 18688, 4916, 568, 3144, 1360, 12517, 267, 607, 3254, 585, 1383, 676, 519, 1007, 14640, 6874, 1314, 3680, 766, 6034, 1161, 602, 2936, 519, 2582, 3454, 6240, 269, 769, 519, 2475, 18688, 4916, 568, 3592, 15865, 282, 1247, 519, 2475, 2203, 3454, 14097, 814, 1044, 29567, 547, 6451, 621, 519, 2475, 814, 15189, 547, 1129, 519, 5564, 10561, 19639, 618, 547, 2936, 18688, 4916, 538, 922, 21308, 543, 519, 1152, 824, 18688, 4916, 2962, 602, 519, 2475, 814, 3144, 568, 2197, 676, 2197, 8989, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31466, 1886, 1446, 26585, 257, 607, 851, 540, 834, 306, 11799, 1315, 19232, 26585, 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, 0, 3848, 476, 1015, 281, 670, 809, 1695, 543, 20010, 30926, 15733, 24093, 692, 5970, 596, 2479, 4862, 540, 13622, 1695, 286, 9320, 596, 4312, 2938, 5961, 540, 1004, 7296, 7657, 1819, 10269, 856, 540, 1279, 12992, 693, 6105, 610, 19771, 269, 1411, 1522, 1589, 621, 5654, 3579, 610, 1187, 267, 855, 972, 616, 930, 3978, 1072, 4220, 3238, 609, 1210, 4244, 10269, 2472, 899, 13622, 1695, 602, 1082, 1004, 1810, 1405, 917, 827, 269, 2913, 781, 2263, 1018, 13622, 1695, 568, 543, 1946, 621, 781, 1271, 547, 3251, 2476, 689, 621, 780, 1432, 568, 670, 809, 1695, 888, 2411, 692, 288, 13622, 1695, 568, 513, 1826, 540, 1216, 10612, 1031, 585, 7296, 16887, 1500, 10269, 1572, 695, 22781, 269, 1744, 22781, 2501, 538, 1585, 6653, 2989, 10366, 267, 1818, 621, 13267, 547, 1007, 21596, 267, 2523, 3214, 543, 12322, 269, 589, 6093, 13622, 1695, 8400, 16569, 1472, 476, 2568, 3764, 543, 3322, 4687, 519, 5023, 12328, 1851, 2828, 267, 4946, 1776, 1377, 540, 1981, 780, 3963, 9701, 594, 2142, 19634, 2740, 6168, 670, 809, 1695, 888, 5785, 21387, 6624, 1004, 3494, 602, 2094, 13622, 1695, 8673, 10596, 998, 1216, 1354, 1373, 31067, 267, 621, 1590, 581, 10930, 982, 13189, 269, 1717, 267, 713, 7948, 1405, 581, 2417, 689, 519, 5168, 256, 5525, 1397, 602, 13622, 1695, 7296, 814, 1896, 2942, 2360, 593, 707, 1072, 267, 1519, 1384, 2162, 16842, 22452, 547, 1677, 343, 1231, 692, 9617, 1317, 519, 8673, 4422, 998, 1216, 3085, 1405, 1611, 621, 3587, 1022, 1447, 6757, 269, 4340, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 1282, 513, 2582, 13622, 1695, 8400, 267, 3755, 949, 11375, 1446, 909, 547, 476, 1220, 2053, 519, 4320, 540, 8673, 3379, 547, 513, 2582, 16906, 269, 901, 2799, 4598, 12662, 596, 693, 3152, 1981, 585, 3875, 3676, 3361, 676, 10269, 946, 780, 2162, 12832, 13534, 667, 11163, 692, 12024, 824, 3029, 540, 10269, 267, 695, 22781, 3568, 15522, 1107, 513, 3810, 22925, 3114, 269, 1879, 596, 1376, 7296, 13622, 1695, 5781, 267, 707, 1560, 786, 6159, 557, 811, 15522, 936, 942, 267, 3056, 547, 13829, 543, 1761, 15639, 2589, 952, 596, 2119, 547, 16718, 780, 2162, 11485, 540, 5395, 1190, 29520, 525, 692, 16524, 3856, 13622, 1695, 6165, 4679, 519, 10171, 540, 3384, 4049, 1072, 2152, 2147, 547, 1346, 5532, 609, 2757, 16906, 7296, 267, 971, 607, 2295, 2068, 267, 7929, 2042, 267, 5711, 2860, 267, 5761, 2860, 267, 7181, 2860, 267, 543, 1965, 23569, 2860, 780, 6701, 1703, 4033, 667, 836, 2730, 30926, 15733, 4934, 1703, 888, 24801, 14945, 8133, 267, 16310, 13622, 1695, 267, 972, 616, 7899, 540, 4244, 10269, 2472, 602, 10460, 1713, 6937, 547, 707, 8171, 269, 2368, 2442, 3283, 1331, 552, 24294, 10577, 630, 341, 12686, 3457, 264, 543, 2370, 524, 580, 1513, 630, 20791, 267, 6094, 524, 580, 1513, 1040, 1452, 3688, 1869, 2270, 5906, 2157, 540, 15522, 543, 824, 13818, 6464, 5103, 741, 3006, 632, 1061, 1947, 17608, 5920, 780, 1692, 2052, 594, 13363, 3733, 1345, 3245, 1452, 24093, 888, 14343, 13430, 763, 1655, 1259, 547, 2149, 3054, 689, 891, 12178, 568, 2241, 281, 5213, 1405, 946, 10269, 2472, 269, 13773, 5483, 827, 519, 4539, 540, 1210, 873, 543, 5000, 707, 9905, 547, 798, 519, 1482, 269, 1403, 2576, 3091, 596, 513, 4960, 547, 8673, 13622, 1695, 610, 1022, 824, 1106, 540, 10269, 267, 3314, 782, 519, 4128, 1946, 6031, 1100, 568, 1898, 269, 2659, 2104, 1582, 786, 9684, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27802, 766, 18816, 24251, 281, 11485, 11790, 267, 12580, 267, 543, 9615, 454, 27802, 766, 6057, 8213, 568, 1419, 2404, 609, 519, 946, 540, 28302, 5061, 899, 5869, 514, 267, 25933, 267, 543, 8715, 563, 3719, 6219, 6057, 568, 711, 1175, 827, 3075, 946, 269, 4634, 2472, 596, 666, 16155, 6718, 267, 971, 607, 13310, 21447, 267, 4568, 267, 543, 10269, 267, 666, 581, 26884, 563, 10144, 7231, 609, 6219, 6057, 991, 7525, 3318, 2126, 269, 16700, 2224, 540, 3656, 610, 17049, 6878, 666, 20427, 7369, 835, 779, 2634, 6464, 269, 898, 5012, 547, 8213, 267, 799, 666, 25010, 835, 779, 4876, 543, 2123, 3347, 267, 711, 547, 2446, 519, 2564, 4220, 2404, 609, 621, 563, 5649, 593, 547, 1451, 811, 827, 6219, 6057, 8213, 267, 922, 7700, 2188, 267, 2589, 267, 543, 2126, 3681, 563, 27802, 766, 6057, 8213, 568, 606, 13016, 2165, 602, 10905, 1079, 1114, 2175, 1644, 547, 519, 21568, 540, 3656, 610, 28302, 6878, 1765, 2108, 27802, 766, 18816, 892, 543, 968, 11754, 2109, 3034, 27802, 766, 6057, 568, 519, 5739, 267, 11234, 267, 610, 7050, 946, 540, 28400, 5562, 6878, 899, 5061, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 809, 1695, 543, 20010, 30926, 15733, 24093, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 28548, 18816, 1299, 5410, 11881, 1315, 30926, 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, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 13558, 2319, 1572, 519, 26551, 6519, 322, 2355, 945, 5030, 538, 4190, 3703, 12052, 267, 4516, 269, 1358, 6068, 4730, 13558, 543, 1818, 741, 11655, 17869, 609, 10761, 256, 1809, 835, 1554, 267, 789, 1185, 547, 1491, 513, 2370, 2736, 689, 4730, 1317, 930, 824, 1271, 13558, 3756, 941, 8345, 538, 1776, 2197, 780, 2691, 789, 3357, 1394, 1753, 1310, 741, 16314, 267, 621, 729, 942, 585, 873, 547, 1404, 1586, 269, 4256, 17837, 713, 942, 941, 519, 1715, 4789, 7169, 269, 3807, 899, 938, 6519, 322, 2355, 267, 519, 7169, 849, 5129, 13558, 855, 14612, 782, 519, 1259, 689, 1715, 4789, 547, 3643, 543, 1404, 1996, 873, 780, 4002, 519, 1554, 540, 519, 6474, 267, 1312, 6887, 9411, 519, 2462, 30806, 1572, 7460, 9255, 538, 4395, 540, 1082, 9599, 1004, 945, 4941, 547, 1294, 513, 1390, 13558, 3014, 269, 3962, 2319, 6836, 2182, 547, 6060, 3853, 676, 737, 10107, 519, 3440, 883, 519, 18545, 781, 2121, 269, 1656, 7058, 1018, 286, 634, 4860, 30055, 20639, 519, 1101, 3804, 256, 15526, 2968, 9602, 267, 11842, 952, 519, 6519, 322, 2355, 1131, 581, 2111, 547, 6952, 909, 780, 5475, 513, 1247, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10714, 639, 281, 519, 3002, 568, 593, 2433, 1620, 519, 1198, 540, 2916, 1689, 543, 2404, 2825, 4756, 2242, 593, 519, 9960, 7350, 543, 2551, 6384, 540, 519, 4871, 524, 768, 528, 656, 538, 519, 654, 269, 595, 1421, 590, 269, 589, 269, 19080, 269, 2160, 540, 15729, 16011, 2073, 293, 659, 8372, 540, 3163, 2073, 23430, 540, 18143, 7070, 269, 5291, 2517, 24863, 331, 269, 8518, 548, 14492, 270, 14625, 2767, 270, 15836, 6812, 0, 15933, 338, 585, 10699, 30213, 1772, 641, 16104, 281, 589, 6651, 547, 18227, 2659, 1772, 641, 16104, 13245, 543, 8414, 454, 3080, 540, 519, 3119, 1426, 2959, 585, 7750, 30213, 568, 641, 16104, 568, 9178, 532, 2030, 2339, 563, 4322, 568, 641, 16104, 616, 1033, 761, 643, 2803, 267, 2495, 789, 3049, 593, 10920, 19397, 5214, 1570, 563, 293, 718, 523, 3762, 267, 4232, 1154, 3574, 267, 543, 9178, 532, 5613, 543, 5388, 616, 782, 5140, 5079, 547, 1331, 538, 741, 2732, 563, 4322, 1426, 2959, 711, 1152, 1683, 1898, 5567, 855, 849, 17932, 741, 2067, 7226, 267, 607, 789, 1131, 3335, 25094, 3188, 585, 1426, 538, 519, 4104, 6989, 563, 1103, 1840, 547, 2030, 2339, 267, 7750, 30213, 568, 641, 16104, 666, 849, 4324, 689, 3940, 11656, 3536, 563, 1607, 666, 1331, 1507, 5666, 540, 3165, 1426, 267, 20544, 26005, 267, 610, 1256, 16760, 7786, 563, 3682, 12888, 568, 2629, 585, 741, 2208, 543, 12093, 267, 2523, 585, 9960, 10125, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 3940, 1058, 581, 6035, 838, 2130, 569, 267, 607, 606, 7050, 2179, 666, 1291, 547, 20817, 538, 741, 2732, 563, 2414, 2327, 513, 1134, 25454, 2732, 267, 621, 568, 5227, 547, 7110, 741, 6980, 609, 7513, 11656, 3536, 563, 9773, 6458, 568, 1898, 585, 519, 1646, 540, 741, 608, 18929, 13987, 543, 2949, 1072, 563, 290, 6350, 1117, 5798, 17850, 338, 267, 2759, 1479, 14752, 267, 610, 7463, 7513, 9360, 2966, 585, 568, 641, 16104, 666, 581, 3177, 607, 513, 2707, 540, 713, 4105, 7777, 563, 3528, 5356, 513, 3099, 540, 7513, 2959, 267, 596, 666, 2327, 602, 707, 7750, 30213, 568, 641, 16104, 723, 1569, 547, 519, 2556, 5567, 585, 1697, 2208, 543, 12387, 1154, 563, 13010, 267, 621, 568, 6225, 547, 6338, 17573, 13000, 547, 741, 2732, 563, 4322, 13000, 666, 1331, 12015, 3762, 267, 5810, 267, 610, 1256, 1507, 5666, 540, 5613, 971, 607, 15708, 610, 5283, 976, 563, 4322, 13000, 711, 1152, 1683, 3606, 5567, 855, 849, 1039, 23918, 547, 741, 1604, 267, 8716, 2067, 5615, 543, 5329, 873, 15508, 25623, 563, 2005, 568, 1271, 547, 4063, 602, 1247, 7750, 30213, 568, 641, 16104, 616, 3622, 1970, 31720, 5199, 7068, 267, 741, 8192, 2115, 949, 4268, 4470, 593, 519, 2249, 543, 1367, 4170, 563, 11997, 267, 621, 568, 2629, 547, 1382, 519, 1808, 8192, 7375, 540, 519, 568, 641, 617, 2249, 596, 616, 5329, 547, 2327, 741, 6099, 1072, 543, 1134, 5630, 563, 8139, 519, 26678, 20126, 540, 10699, 30213, 1772, 641, 16104, 454, 1103, 519, 3552, 267, 7750, 30213, 568, 641, 16104, 616, 1033, 761, 643, 2803, 267, 2495, 789, 5097, 3049, 593, 9178, 532, 5214, 2339, 971, 607, 6978, 16445, 267, 4666, 2371, 267, 543, 3574, 563, 2414, 21613, 741, 2067, 2732, 267, 621, 568, 5227, 547, 2709, 513, 4999, 540, 2030, 2861, 543, 3940, 11656, 3536, 563, 8867, 2378, 344, 16719, 899, 25989, 267, 22156, 267, 543, 546, 28888, 542, 16719, 616, 5140, 2959, 540, 8324, 543, 6886, 585, 891, 568, 641, 16104, 563, 4322, 666, 581, 3177, 538, 1507, 9424, 267, 4180, 789, 616, 4195, 543, 1863, 689, 1022, 13851, 610, 6464, 563, 12234, 267, 5356, 513, 3099, 540, 5613, 543, 5388, 666, 1683, 1898, 5567, 543, 20697, 585, 7750, 30213, 568, 641, 16104, 563, 293, 21209, 899, 13212, 267, 20397, 267, 543, 15708, 666, 581, 6035, 607, 17573, 13000, 267, 1247, 5388, 971, 607, 17436, 267, 1990, 1075, 577, 7236, 267, 543, 31480, 666, 581, 3177, 5781, 563, 4322, 3536, 711, 1152, 1683, 2556, 5567, 855, 849, 1039, 4763, 547, 741, 2732, 267, 5009, 2949, 1072, 543, 1134, 5630, 563, 3682, 12888, 568, 1776, 2629, 5057, 540, 513, 7750, 30213, 568, 641, 617, 781, 2732, 563, 1103, 519, 3552, 267, 789, 3489, 3940, 689, 10920, 19397, 3662, 2339, 563, 2414, 21613, 713, 538, 24811, 267, 621, 568, 5227, 547, 2709, 3940, 11656, 3536, 971, 607, 3165, 1166, 1389, 267, 20544, 26005, 267, 610, 1256, 1507, 5666, 540, 11273, 5779, 610, 3165, 563, 4322, 3940, 2959, 1058, 581, 3177, 838, 2130, 569, 267, 607, 7050, 3940, 6981, 666, 1291, 547, 1072, 2152, 563, 1103, 1840, 547, 741, 3119, 2732, 267, 7750, 30213, 568, 641, 16104, 666, 4324, 689, 519, 17573, 21455, 540, 7513, 543, 824, 6886, 563, 9773, 6458, 568, 1898, 585, 741, 608, 18929, 13987, 1646, 543, 12093, 563, 17809, 4575, 513, 7513, 2707, 267, 971, 607, 2759, 1479, 14752, 610, 7513, 8869, 267, 666, 948, 2327, 741, 9422, 2115, 616, 1558, 563, 2005, 568, 1271, 547, 4063, 602, 519, 8192, 2115, 540, 7750, 30213, 568, 641, 16104, 949, 4268, 4470, 593, 519, 2249, 543, 1367, 4170, 563, 25332, 6326, 741, 8023, 6208, 543, 14577, 741, 2732, 9935, 568, 2629, 585, 741, 2949, 1134, 5630, 563, 19894, 569, 5464, 741, 1072, 543, 2623, 666, 948, 2697, 1022, 19518, 610, 20817, 538, 741, 2732, 563, 295, 274, 281, 23516, 700, 7867, 281, 589, 853, 18393, 5253, 11905, 585, 10699, 30213, 1772, 641, 16104, 454, 8867, 2378, 16445, 568, 7768, 540, 15468, 3762, 267, 1000, 12127, 267, 543, 824, 2030, 11935, 602, 18645, 593, 519, 4104, 6989, 563, 2026, 621, 10920, 5099, 267, 621, 13847, 1585, 5214, 7135, 267, 971, 607, 27794, 267, 31429, 514, 267, 543, 646, 6193, 749, 21695, 267, 799, 4196, 607, 513, 3638, 1426, 2707, 585, 568, 641, 16104, 563, 4322, 7135, 616, 3335, 2352, 585, 824, 7103, 547, 7558, 267, 855, 568, 641, 16104, 4865, 7463, 9667, 11476, 602, 1450, 873, 547, 2736, 1524, 543, 1349, 5567, 689, 519, 6978, 16445, 563, 3080, 540, 519, 1883, 2640, 540, 6978, 16445, 607, 513, 1426, 2707, 585, 10699, 30213, 568, 641, 16104, 568, 922, 1164, 7509, 1543, 563, 3674, 641, 16104, 2154, 513, 5848, 1604, 547, 8853, 267, 543, 6978, 16445, 2337, 2226, 519, 2556, 11195, 2157, 563, 763, 10920, 19397, 3762, 11677, 7509, 267, 2870, 513, 2890, 4725, 18945, 602, 568, 4998, 585, 568, 641, 16104, 563, 1607, 7509, 711, 1152, 11226, 538, 741, 12536, 855, 849, 11151, 964, 27364, 566, 267, 4180, 741, 6668, 538, 5671, 518, 2175, 563, 11101, 267, 6978, 16445, 2488, 513, 3309, 5044, 540, 14471, 602, 4196, 607, 513, 24045, 1426, 2707, 585, 568, 641, 16104, 563, 293, 2426, 328, 267, 4551, 267, 543, 824, 14471, 3935, 1125, 519, 9178, 532, 3762, 267, 8108, 513, 1950, 1357, 540, 4205, 563, 3674, 641, 16104, 3049, 593, 891, 14471, 267, 799, 711, 1152, 1683, 3606, 5567, 855, 849, 3565, 547, 741, 8937, 22435, 563, 763, 8937, 22435, 4249, 513, 2629, 1909, 538, 519, 568, 641, 16104, 262, 12536, 543, 2949, 1072, 267, 29000, 538, 519, 15059, 540, 1950, 7135, 543, 7393, 741, 4761, 1062, 563, 2690, 1383, 267, 1978, 2249, 540, 568, 641, 16104, 267, 971, 607, 10699, 30213, 9597, 2088, 267, 723, 1044, 4767, 547, 28729, 3049, 593, 1808, 2010, 540, 13271, 1336, 538, 6978, 16445, 563, 4322, 13271, 2270, 7135, 602, 616, 6225, 585, 519, 568, 641, 16104, 262, 2208, 543, 12093, 563, 3528, 10438, 891, 13271, 267, 519, 568, 641, 16104, 2744, 1569, 547, 1898, 5567, 543, 6915, 5562, 7135, 602, 9797, 3310, 741, 17550, 563, 295, 274, 281, 29759, 543, 29641, 281, 589, 715, 8130, 1190, 18827, 547, 519, 10791, 454, 3080, 1383, 540, 513, 4829, 602, 568, 641, 16104, 3226, 2972, 568, 20397, 563, 289, 534, 11446, 616, 711, 1152, 3638, 538, 11379, 855, 849, 2270, 8324, 971, 607, 6171, 595, 543, 6171, 645, 277, 269, 1452, 8324, 1404, 513, 2629, 1909, 538, 4509, 519, 568, 641, 16104, 262, 4761, 1062, 543, 5009, 2635, 2208, 563, 12234, 267, 519, 1164, 6775, 1543, 538, 20397, 11226, 538, 12536, 267, 7303, 1022, 1761, 9667, 2152, 602, 949, 8451, 563, 5194, 4829, 602, 568, 641, 16104, 1265, 22023, 626, 1043, 568, 13212, 563, 7343, 956, 616, 14095, 609, 14434, 267, 799, 948, 8396, 19842, 2566, 543, 3895, 15325, 538, 568, 641, 16104, 563, 763, 2960, 540, 13212, 568, 2523, 6225, 607, 621, 3568, 513, 1713, 2179, 540, 8192, 6775, 267, 29000, 538, 4509, 513, 2635, 9667, 1062, 563, 3674, 641, 16104, 786, 23362, 8532, 1312, 519, 17145, 543, 2960, 540, 13212, 267, 4180, 789, 4309, 519, 5021, 9422, 2640, 563, 300, 8221, 593, 547, 5388, 267, 21364, 16719, 971, 607, 22156, 543, 25989, 616, 5140, 5079, 585, 568, 641, 16104, 563, 4322, 16719, 616, 3638, 538, 8324, 589, 267, 595, 267, 543, 918, 267, 607, 1134, 607, 6886, 899, 7513, 543, 4401, 563, 24791, 589, 568, 1898, 585, 4509, 2635, 5075, 543, 5009, 1697, 2208, 267, 1247, 6171, 595, 25242, 519, 4761, 1062, 563, 9773, 6458, 543, 4401, 3565, 547, 519, 1646, 540, 2178, 608, 18929, 30416, 543, 2061, 17350, 267, 6606, 563, 13010, 267, 17436, 616, 513, 5172, 1851, 568, 641, 16104, 1813, 547, 741, 29511, 344, 9403, 543, 6653, 6492, 563, 10111, 12783, 616, 606, 5140, 2707, 540, 12498, 21307, 582, 2940, 267, 799, 568, 10736, 883, 6171, 589, 538, 519, 568, 641, 16104, 262, 4703, 563, 1607, 6171, 568, 2629, 585, 4509, 2635, 2960, 543, 5009, 10285, 1072, 563, 295, 274, 281, 19871, 7304, 747, 16639, 281, 31514, 12618, 543, 3115, 3174, 454, 3080, 5140, 2707, 540, 3940, 585, 568, 641, 16104, 568, 3165, 1426, 26005, 563, 4322, 26005, 616, 4481, 19775, 547, 1683, 513, 7059, 2732, 585, 16983, 3165, 267, 5627, 1164, 2157, 540, 3940, 689, 2959, 899, 3165, 7594, 543, 20544, 7594, 563, 2691, 6035, 547, 568, 641, 16104, 267, 3165, 1426, 26005, 666, 581, 3362, 10057, 543, 1683, 513, 13671, 2707, 540, 1898, 11254, 7408, 563, 12234, 267, 891, 26005, 1419, 2270, 824, 6225, 5567, 971, 607, 8324, 543, 6886, 267, 2417, 7393, 519, 2949, 9422, 1871, 585, 568, 641, 16104, 563, 5194, 3940, 11656, 1426, 4781, 585, 568, 641, 16104, 568, 12015, 7786, 563, 6624, 4620, 8637, 2709, 513, 3099, 540, 12015, 7786, 267, 971, 607, 7594, 19095, 267, 524, 4459, 1115, 267, 543, 3109, 17199, 8038, 16793, 563, 4322, 7786, 616, 6923, 1164, 538, 3940, 543, 666, 581, 513, 1390, 1840, 547, 519, 568, 641, 617, 2732, 563, 291, 3072, 7786, 666, 581, 16760, 610, 7745, 883, 4130, 4773, 547, 1118, 873, 811, 19242, 585, 519, 568, 641, 16104, 547, 8532, 563, 8253, 1152, 798, 891, 7786, 1683, 513, 3940, 5818, 267, 855, 789, 849, 2709, 513, 811, 2067, 1426, 2707, 267, 13147, 10107, 1018, 568, 641, 16104, 1131, 7237, 538, 741, 2067, 9249, 563, 1103, 1840, 547, 20749, 2139, 3681, 267, 972, 616, 849, 19471, 3940, 11656, 3536, 602, 666, 581, 5423, 585, 568, 641, 16104, 563, 3080, 1383, 568, 513, 7848, 540, 2666, 5346, 3165, 1166, 1389, 267, 3303, 592, 2088, 8869, 267, 543, 32314, 5798, 17850, 338, 563, 1607, 19471, 11100, 2488, 513, 4999, 540, 3940, 267, 8324, 267, 543, 6886, 602, 666, 7494, 4324, 519, 568, 641, 16104, 262, 2949, 1072, 543, 10285, 7207, 563, 2005, 568, 1271, 547, 2327, 602, 1022, 19471, 1426, 21339, 616, 1863, 689, 5739, 21187, 610, 29089, 2510, 602, 1223, 581, 17672, 547, 519, 568, 641, 16104, 262, 1134, 5630, 563, 295, 273, 281, 30839, 9828, 543, 9669, 585, 10699, 30213, 1772, 641, 16104, 454, 1103, 741, 2067, 7226, 267, 10699, 30213, 568, 641, 16104, 616, 1033, 761, 643, 2803, 267, 2495, 789, 5097, 3049, 593, 9178, 532, 5214, 2339, 971, 607, 6978, 16445, 267, 4232, 1154, 3574, 267, 543, 4666, 2030, 1570, 563, 1607, 2732, 2488, 873, 609, 1898, 5567, 543, 2337, 2736, 1524, 5214, 3653, 538, 741, 1604, 563, 11997, 267, 621, 568, 2629, 547, 2709, 513, 3099, 540, 1426, 2959, 602, 17932, 741, 2067, 2732, 563, 3080, 540, 519, 1655, 1426, 3681, 585, 10699, 30213, 568, 641, 16104, 568, 513, 7848, 540, 9178, 532, 3762, 563, 4322, 666, 1331, 18073, 267, 25308, 267, 581, 3663, 267, 543, 3172, 16288, 3762, 267, 1851, 1866, 563, 4322, 3762, 711, 1152, 1683, 513, 2707, 540, 6484, 855, 849, 4196, 607, 513, 14041, 585, 519, 568, 641, 16104, 547, 3276, 992, 543, 12404, 538, 563, 2005, 568, 1271, 547, 2445 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2539, 3635, 14556, 885, 269, 10815, 8515, 5012, 547, 2539, 2157, 540, 519, 5551, 17003, 519, 1880, 3635, 28901, 630, 328, 4318, 1421, 4887, 2208, 538, 519, 2013, 540, 29998, 15577, 264, 543, 1981, 540, 5945, 563, 299, 871, 540, 6051, 538, 1063, 5036, 454, 4467, 921, 1154, 2147, 15904, 7886, 1360, 2673, 547, 1142, 824, 610, 711, 2921, 2614, 9397, 1063, 1022, 1826, 540, 3635, 5012, 547, 2539, 2157, 540, 519, 5551, 9542, 2094, 891, 616, 6913, 1282, 519, 16889, 5123, 538, 1532, 15277, 15904, 7886, 269, 19768, 540, 6051, 568, 849, 2693, 547, 1267, 538, 7063, 563, 299, 871, 540, 11636, 20358, 543, 1974, 1436, 454, 763, 2333, 538, 3635, 4320, 936, 942, 568, 519, 5551, 1198, 540, 1169, 15904, 1982, 2094, 621, 568, 519, 13654, 1129, 540, 12214, 6454, 269, 1280, 1383, 267, 1373, 2111, 547, 1847, 811, 4320, 12353, 538, 513, 1808, 4887, 1895, 568, 6697, 547, 4887, 2208, 267, 610, 4881, 811, 942, 538, 7997, 476, 273, 1369, 519, 3018, 779, 12732, 568, 6697, 547, 3152, 16608, 543, 24197, 5860, 269, 17957, 267, 519, 17418, 547, 2333, 4320, 538, 1022, 1826, 540, 2866, 568, 6697, 547, 29415, 532, 269, 634, 9000, 540, 11007, 267, 22293, 540, 713, 6240, 267, 610, 3274, 3668, 540, 9477, 616, 519, 1034, 1455, 4128, 30497, 543, 13591, 27466, 525, 616, 13533, 540, 741, 15904, 12531, 543, 3976, 3111, 547, 1445, 593, 2810, 4320, 563, 7021, 569, 7920, 3490, 2866, 454, 4002, 519, 824, 1688, 267, 3356, 532, 4320, 1932, 3728, 666, 581, 607, 8449, 16609, 267, 952, 711, 811, 269, 21826, 543, 5667, 20980, 11636, 20358, 3762, 1100, 4055, 585, 707, 1062, 547, 3082, 543, 12115, 267, 3976, 4929, 596, 547, 5734, 519, 18109, 3728, 269, 5047, 267, 5945, 568, 3592, 513, 2693, 9183, 269, 15788, 267, 513, 1134, 19550, 11636, 20358, 8430, 568, 519, 1034, 13654, 6240, 602, 1022, 2866, 1544, 1058, 9784, 563, 10376, 2866, 7997, 786, 29360, 513, 1808, 12214, 3210, 267, 607, 3254, 538, 519, 7515, 1657, 269, 4475, 267, 8159, 519, 10851, 1141, 596, 991, 547, 6108, 519, 1034, 942, 1282, 707, 16608, 543, 8884, 2866, 7886, 786, 4096, 593, 519, 12214, 7687, 596, 991, 547, 7753, 269, 3502, 6616, 707, 2866, 10851, 666, 1291, 547, 7836, 942, 538, 519, 4636, 2866, 7997, 543, 3976, 711, 3478, 519, 12214, 14624, 596, 991, 267, 610, 538, 930, 2665, 267, 791, 5338, 11144, 538, 824, 2127, 269, 1323, 1383, 540, 513, 1455, 1966, 4611, 689, 25619, 1990, 11238, 568, 7836, 942, 538, 513, 4636, 569, 7229, 7997, 476, 273, 267, 799, 949, 581, 7997, 476, 274, 269, 1975, 2056, 7050, 942, 538, 7997, 476, 274, 666, 1291, 547, 936, 10177, 1456, 543, 5786, 538, 19697, 2157, 267, 543, 3976, 8423, 704, 1761, 4887, 12374, 596, 616, 13197, 1247, 849, 12419, 3648, 1447, 2333, 538, 3170, 1532, 9506, 4398, 269, 2201, 519, 824, 1688, 267, 513, 4636, 569, 4857, 7997, 476, 275, 666, 1291, 1082, 547, 2932, 5230, 16608, 2866, 7886, 630, 11666, 6681, 2866, 538, 7997, 476, 275, 264, 693, 513, 2539, 8515, 982, 1018, 789, 1058, 543, 3976, 29360, 3648, 2539, 966, 302, 273, 10946, 2333, 563, 32086, 568, 835, 540, 519, 1614, 13654, 682, 951, 540, 1072, 543, 2773, 269, 16700, 7666, 3660, 2866, 786, 23366, 1291, 547, 513, 29415, 543, 5821, 547, 3035, 1022, 1072, 543, 2773, 3804, 269, 4197, 519, 12214, 7687, 602, 616, 7303, 596, 689, 1140, 8724, 707, 3804, 543, 8159, 519, 2838, 4908, 267, 4320, 267, 543, 8515, 540, 4187, 267, 8884, 267, 543, 16608, 2866, 568, 519, 1152, 1184, 602, 666, 2327, 1967, 543, 17846, 540, 5945, 1981, 269, 22165, 327, 2079, 2488, 519, 1034, 23963, 3964, 1505, 585, 8159, 519, 4909, 7687, 602, 949, 581, 7303, 596, 689, 8236, 707, 8516, 3804, 543, 7446, 519, 6099, 3635, 1982, 602, 779, 28110, 547, 2232, 873, 269, 0, 1692, 547, 5590, 5455, 513, 25725, 26653, 281, 589, 10670, 1676, 779, 6651, 454, 2252, 596, 2461, 1007, 547, 16015, 543, 4058, 547, 1205, 835, 4166, 267, 1287, 596, 1058, 581, 2111, 547, 1683, 621, 609, 513, 5078, 7226, 602, 13147, 923, 922, 2067, 7226, 538, 519, 3552, 269, 1703, 616, 1978, 1919, 547, 1832, 538, 2247, 950, 4259, 909, 707, 14854, 7382, 547, 1118, 621, 513, 2635, 543, 6899, 2713, 2230, 585, 707, 4620, 563, 1103, 713, 19444, 7888, 3391, 267, 649, 3580, 3802, 596, 998, 782, 519, 9238, 540, 4259, 909, 707, 14854, 7382, 267, 1519, 782, 519, 1898, 3937, 596, 991, 267, 543, 875, 547, 1711, 606, 6099, 1666, 6362, 543, 10977, 2127, 269, 1284, 3580, 2709, 3606, 9623, 593, 1585, 26828, 543, 1232, 832, 547, 2015, 585, 707, 7382, 563, 1692, 547, 1305, 909, 707, 14854, 7382, 630, 21163, 8386, 9912, 3391, 994, 1103, 713, 3296, 267, 596, 3580, 3605, 782, 519, 30304, 596, 991, 543, 1900, 676, 1900, 3391, 547, 2870, 513, 7226, 585, 707, 4620, 14854, 563, 1432, 596, 3580, 991, 912, 268, 30785, 7382, 2450, 454, 268, 645, 27965, 3760, 454, 268, 11158, 1769, 454, 268, 14333, 17689, 454, 268, 674, 2830, 1674, 1062, 454, 268, 4826, 22865, 454, 268, 4427, 1598, 622, 630, 28436, 994, 268, 667, 2946, 14585, 17960, 630, 28436, 994, 3721, 476, 272, 269, 7994, 519, 1318, 7382, 2450, 454, 763, 1101, 3364, 596, 3580, 991, 547, 798, 950, 4259, 909, 707, 14854, 779, 7382, 568, 547, 1205, 513, 7382, 602, 779, 838, 20160, 2614, 585, 707, 4620, 14854, 547, 7669, 543, 1847, 1472, 563, 288, 1455, 23988, 585, 7446, 519, 1318, 7382, 2450, 568, 547, 1205, 476, 1015, 17529, 585, 1169, 10759, 540, 707, 14854, 7387, 3259, 269, 901, 568, 547, 2161, 952, 707, 14854, 568, 476, 277, 6279, 1279, 267, 596, 1058, 1205, 513, 476, 2568, 3766, 718, 517, 7382, 563, 23744, 267, 952, 596, 2461, 18516, 1018, 2450, 540, 14854, 7382, 547, 1205, 585, 707, 14854, 267, 2015, 2469, 609, 519, 7887, 4781, 2139, 269, 8262, 3455, 568, 2141, 1732, 2336, 3721, 476, 273, 269, 15147, 519, 5377, 609, 14041, 454, 8138, 1598, 622, 3884, 1406, 2556, 585, 707, 14854, 7382, 1305, 909, 267, 865, 596, 666, 18178, 713, 851, 543, 979, 609, 513, 11953, 5377, 269, 634, 2601, 4810, 14854, 5411, 18973, 1996, 1210, 14041, 568, 602, 621, 666, 1118, 707, 7382, 2182, 547, 2973, 563, 2005, 11148, 547, 15972, 11353, 540, 1426, 799, 666, 1287, 31693, 936, 942, 543, 1711, 14432, 2713, 2175, 585, 707, 4620, 14854, 563, 2791, 949, 1152, 2015, 1210, 14041, 952, 596, 1544, 547, 1039, 2661, 2371, 547, 707, 14854, 7382, 563, 2080, 616, 930, 1455, 14041, 3681, 547, 2015, 585, 707, 14854, 7382, 912, 268, 9995, 281, 9995, 568, 513, 2442, 3903, 540, 14041, 267, 2523, 2016, 602, 930, 14854, 2249, 899, 20857, 269, 1717, 267, 621, 666, 1118, 707, 7382, 7738, 513, 2182, 4305, 563, 268, 3212, 6277, 956, 281, 1403, 596, 723, 12748, 2371, 538, 707, 16983, 267, 2015, 21973, 890, 6277, 956, 585, 14041, 269, 1284, 4363, 3677, 890, 6277, 956, 547, 7413, 519, 8458, 540, 707, 14854, 24948, 873, 563, 268, 3400, 767, 281, 634, 18574, 2356, 2501, 538, 1114, 5546, 267, 3029, 267, 543, 4778, 267, 543, 666, 948, 1118, 707, 14854, 16983, 1413, 2973, 543, 3750, 13267, 269, 1717, 267, 922, 1507, 2450, 1797, 707, 14854, 949, 3824, 652, 621, 543, 2014, 1764, 542, 563, 3721, 476, 274, 269, 5590, 909, 519, 1666, 6362, 1858, 454, 288, 1666, 6362, 3760, 568, 513, 2629, 851, 540, 707, 1007, 14854, 779, 7226, 269, 898, 779, 1141, 707, 14854, 4991, 547, 1964, 950, 621, 3085, 1406, 1616, 547, 7669, 269, 3371, 267, 621, 1743, 625, 922, 1560, 1055, 543, 865, 6545, 538, 519, 11158, 12345, 602, 616, 1271, 585, 922, 1072, 563, 4415, 713, 538, 2247, 267, 596, 1616, 547, 2097, 909, 609, 513, 6899, 1666, 6362, 1858, 602, 779, 838, 20160, 2614, 585, 707, 14854, 547, 2490, 1472, 543, 814, 1100, 8325, 8728, 602, 949, 3614, 675, 707, 14854, 563, 2005, 1058, 849, 581, 11207, 3819, 267, 2495, 621, 1058, 581, 17479, 1055, 519, 7297, 563, 13014, 2386, 519, 1666, 6362, 5544, 568, 3362, 3015, 676, 707, 14854, 269, 1403, 991, 581, 267, 3888, 513, 19856, 585, 2653, 1569, 563, 10112, 11167, 596, 2461, 4259, 909, 707, 14854, 7382, 16280, 267, 596, 1058, 849, 16491, 519, 1666, 6362, 5544, 609, 513, 11158, 1769, 269, 901, 786, 1683, 707, 16015, 609, 519, 11158, 12345, 2556, 585, 1697, 7513, 10338, 585, 2635, 7387, 543, 5642, 2208, 563, 12234, 267, 596, 3580, 991, 547, 1039, 513, 3002, 17689, 547, 519, 1666, 6362, 1858, 269, 901, 13147, 923, 519, 3141, 3002, 519, 14854, 4991, 689, 519, 7943, 538, 3552, 563, 763, 3002, 786, 948, 1832, 707, 14854, 3636, 950, 856, 540, 519, 1216, 607, 1134, 607, 948, 621, 3819, 1055, 922, 2960, 563, 3721, 476, 275, 269, 8073, 519, 10977, 1858, 454, 5629, 596, 723, 519, 1666, 6362, 1858, 1305, 909, 267, 519, 6967, 1858, 5713, 607, 519, 10977, 2230, 269, 901, 568, 1141, 707, 14854, 786, 581, 7836, 1034, 540, 922, 942, 267, 865, 621, 1058, 581, 838, 20160, 2614, 585, 621, 547, 2972, 3108, 540, 10977, 563, 288, 19288, 1062, 1058, 849, 979, 547, 519, 10977, 1858, 547, 948, 1832, 519, 1216, 2973, 269, 1703, 616, 1896, 6882, 3681, 547, 2015, 267, 855, 1034, 14854, 4966, 4363, 2469, 609, 513, 666, 3563, 6882, 563, 1607, 2203, 568, 3810, 3608, 543, 666, 6023, 1164, 32728, 13369, 19003, 269, 1284, 18973, 7446, 513, 6882, 15951, 476, 273, 610, 476, 274, 343, 2362, 4390, 982, 707, 14854, 779, 4890, 4390, 269, 589, 1016, 11302, 1043, 6882, 568, 849, 2442, 855, 1568, 1655, 585, 1507, 14854, 13688, 563, 2791, 3580, 849, 991, 547, 3888, 513, 1216, 22865, 547, 948, 2226, 519, 1216, 2837, 693, 519, 5227, 2039, 540, 1472, 476, 4281, 547, 476, 3199, 5232, 18278, 585, 1034, 12748, 2249, 563, 1607, 568, 1271, 2016, 602, 16015, 616, 4411, 15918, 797, 539, 2831, 543, 7048, 593, 741, 2825, 2837, 547, 10038, 741, 1560, 2837, 563, 13014, 2386, 596, 723, 513, 8720, 936, 519, 1016, 11302, 1043, 22865, 547, 1832, 707, 14854, 689, 536, 18804, 936, 621, 543, 3478, 14616, 563, 3721, 476, 276, 269, 634, 23732, 851, 454, 29002, 23732, 3688, 547, 707, 7382, 666, 948, 1118, 621, 811, 3750, 268, 921, 2084, 1247, 1818, 621, 513, 811, 4277, 1604, 585, 707, 4620, 14854, 563, 4913, 267, 23598, 5749, 1406, 8209, 1271, 607, 789, 1810, 1406, 1860, 519, 6668, 540, 707, 4620, 538, 1022, 1259, 563, 2414, 30164, 707, 14854, 7382, 267, 596, 666, 946, 5347, 7725, 267, 20743, 267, 543, 23572, 547, 957, 607, 15720, 9634, 585, 707, 14854, 269, 3807, 1810, 1406, 936, 4777, 621, 547, 2057, 2921, 909, 1454, 540, 519, 14854, 779, 10977, 543, 1666, 6362, 5624, 563, 16605, 891, 4388, 538, 2247, 950, 4946, 26955, 14585, 17960, 547, 707, 4620, 14854, 7382, 912, 268, 3680, 1022, 26955, 14585, 3688, 602, 723, 8325, 8728, 607, 789, 666, 3362, 3614, 675, 707, 14854, 454, 268, 3680, 1210, 1932, 1507, 3688, 602, 707, 14854, 949, 3362, 15179, 543, 2014, 3978, 12536, 2152, 971, 607, 1764, 542, 799, 666, 1291, 547, 4049, 19228, 563, 268, 7102, 26955, 14585, 3688, 5833, 689, 519, 3552, 1058, 581, 1101, 10322, 28895, 1354, 8380, 873, 883, 519, 14854, 7382, 269, 901, 786, 2327, 789, 1810, 1406, 4483, 1022, 3676, 543, 15495, 547, 707, 14854, 779, 7226, 563, 268, 8307, 946, 12748, 2371, 602, 616, 2922, 543, 1875, 3562, 13877, 585, 707, 14854, 607, 789, 3580, 9090, 2119, 547, 3548, 873, 563, 3721, 476, 277, 269, 19130, 519, 7382, 609, 1216, 454, 4263, 713, 1448, 267, 3388, 568, 1305, 909, 543, 782, 602, 779, 6967, 568, 547, 6445, 707, 1007, 14854, 779, 7226, 609, 1216, 269, 3550, 596, 3142, 519, 1216, 547, 513, 1377, 602, 779, 6190, 585, 707, 14854, 547, 20354, 7669, 538, 563, 2026, 519, 4341, 540, 14853, 4422, 267, 596, 1058, 6445, 519, 7382, 609, 1216, 547, 513, 3178, 540, 909, 547, 476, 382, 378, 519, 3259, 540, 707, 4620, 14854, 269, 901, 568, 513, 2922, 3178, 585, 707, 14854, 547, 3362, 16212, 3294, 952, 621, 18417, 7140, 26700, 1524, 1247, 3330, 519, 1216, 563, 2791, 3580, 849, 991, 547, 2327, 596, 946, 30341, 610, 632, 7302, 3271, 3990, 1216, 602, 779, 2922, 585, 707, 15195, 14854, 563, 2171, 1336, 713, 5363, 3381, 6029, 1900, 8386, 9912, 875, 547, 7157, 1305, 909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3184, 782, 827, 519, 2634, 543, 875, 621, 5540, 519, 1259, 649, 1451, 256, 5620, 596, 2479, 9289, 1946, 930, 1004, 3100, 547, 4584, 909, 1007, 1983, 3533, 1247, 1866, 6560, 286, 2107, 6148, 596, 4312, 8068, 602, 1978, 4247, 2097, 3362, 547, 596, 267, 855, 1866, 1745, 899, 513, 1483, 4161, 269, 2334, 781, 1141, 519, 2361, 540, 5778, 17595, 1108, 2501, 538, 780, 32507, 17595, 5505, 1353, 875, 519, 2634, 1568, 543, 875, 1114, 2694, 540, 519, 2634, 1860, 2623, 267, 4664, 267, 543, 1565, 269, 2311, 519, 4741, 585, 11671, 17595, 1108, 267, 4804, 543, 4886, 630, 290, 301, 17162, 1070, 789, 946, 1945, 1572, 513, 834, 560, 31104, 2861, 2203, 257, 950, 2324, 609, 1004, 945, 616, 2348, 8373, 538, 1153, 610, 609, 824, 2238, 269, 901, 1797, 602, 3079, 540, 1175, 2519, 593, 1018, 2576, 9060, 2352, 267, 789, 849, 1413, 693, 1018, 602, 1268, 1281, 1134, 269, 1635, 1620, 543, 2679, 593, 1346, 9342, 267, 789, 666, 948, 2232, 1022, 2591, 602, 1522, 8451, 780, 4131, 803, 2285, 596, 606, 1383, 269, 5994, 596, 2811, 2731, 1434, 693, 5373, 1107, 596, 2648, 2870, 5961, 543, 4947, 909, 609, 3579, 6272, 269, 1809, 3006, 2542, 543, 2979, 666, 581, 9157, 585, 596, 269, 5502, 540, 1152, 3168, 693, 519, 1249, 602, 2542, 543, 2979, 616, 2182, 267, 513, 5778, 17595, 6048, 1131, 1616, 547, 917, 811, 827, 707, 7499, 15421, 1932, 256, 9320, 972, 781, 513, 1259, 547, 946, 707, 5876, 547, 2087, 707, 2542, 8223, 610, 1256, 2490, 6310, 2035, 883, 3308, 2592, 780, 763, 2319, 693, 31368, 17162, 2337, 1082, 3214, 945, 3068, 1585, 7965, 971, 607, 1565, 9124, 630, 3697, 27577, 1070, 3007, 2152, 630, 3697, 11838, 1070, 10295, 8552, 4524, 630, 32359, 1070, 543, 824, 2175, 269, 1358, 3494, 602, 676, 3478, 547, 917, 1142, 1367, 543, 23115, 856, 741, 2189, 4999, 540, 9342, 543, 12755, 267, 789, 666, 1683, 10531, 1489, 543, 2994, 780, 3086, 594, 914, 596, 2811, 11842, 875, 4010, 891, 4648, 4137, 856, 1018, 2306, 721, 8743, 269, 4270, 267, 835, 1907, 789, 946, 568, 1945, 1572, 513, 5778, 17595, 1670, 4879, 269, 4438, 713, 1184, 267, 789, 7747, 1919, 899, 3965, 267, 1966, 6061, 267, 1893, 267, 3007, 267, 8901, 7744, 267, 543, 1514, 15041, 10899, 8647, 269, 3414, 3756, 267, 13410, 267, 2055, 267, 543, 824, 1187, 2238, 267, 789, 5531, 1344, 827, 875, 1142, 851, 540, 519, 2634, 8309, 547, 3232, 2713, 780, 3528, 1210, 513, 4222, 2861, 2203, 267, 5778, 17595, 5505, 2832, 547, 7668, 2043, 543, 3885, 676, 4758, 873, 3407, 4030, 883, 741, 1378, 5759, 269, 5457, 267, 1100, 1079, 12058, 616, 7567, 267, 543, 3025, 814, 741, 1378, 1305, 540, 2706, 335, 10183, 256, 4197, 16523, 1223, 1291, 547, 12423, 1007, 2081, 547, 8011, 538, 1153, 267, 3347, 267, 12348, 267, 543, 3564, 269, 1924, 1577, 781, 8661, 938, 3604, 543, 9784, 938, 2189, 13344, 1317, 267, 1927, 267, 789, 1711, 519, 4190, 13795, 540, 1480, 1761, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 690, 518, 661, 269, 700, 21516, 267, 1912, 6185, 454, 4263, 519, 4741, 585, 11671, 17595, 1108, 267, 4804, 543, 4886, 630, 290, 301, 17162, 1070, 649, 1935, 519, 2361, 540, 5778, 17595, 1108, 689, 513, 4222, 2861, 2203, 269, 4658, 1419, 1289, 938, 16758, 543, 2307, 585, 948, 538, 4466, 856, 1018, 779, 968, 342, 3994, 609, 873, 610, 741, 1126, 1848, 3776, 5778, 17595, 1670, 10526, 11613, 666, 1448, 856, 519, 2127, 538, 799, 513, 1268, 814, 1447, 2178, 5759, 1532, 583, 649, 849, 1265, 543, 11168, 519, 9342, 540, 938, 7218, 269, 23560, 865, 2636, 519, 2127, 540, 4222, 547, 581, 3710, 2390, 538, 1931, 547, 2232, 519, 2127, 602, 949, 711, 581, 607, 2178, 563, 4263, 31368, 17162, 267, 649, 616, 1634, 585, 938, 960, 609, 1950, 2665, 630, 324, 3052, 1421, 31298, 267, 11838, 267, 20284, 267, 715, 17162, 267, 674, 32359, 267, 16275, 267, 14715, 543, 4719, 4713, 267, 543, 3929, 4145, 1040, 1284, 20647, 538, 4543, 938, 7218, 1174, 1312, 741, 9342, 543, 12755, 865, 602, 9933, 725, 666, 581, 31965, 269, 1284, 1810, 1406, 723, 513, 9059, 18389, 267, 855, 649, 798, 723, 1296, 540, 2866, 543, 1995, 547, 948, 596, 4990, 998, 519, 10539, 538, 707, 1272, 543, 1732, 9787, 707, 1880, 2115, 269, 3776, 5778, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 23654, 15638, 543, 769, 1417, 1161, 13488, 692, 296, 269, 4985, 692, 1103, 2221, 781, 3810, 8013, 1870, 1604, 267, 3549, 616, 7683, 5275, 5499, 2081, 547, 18663, 5520, 267, 7794, 3347, 609, 7218, 267, 543, 2087, 6216, 3239, 269, 2290, 971, 4640, 602, 814, 6591, 1713, 8560, 568, 9746, 2621, 543, 15314, 2951, 269, 901, 3184, 12538, 883, 519, 14960, 540, 12180, 3811, 9746, 2621, 543, 24539, 15143, 1247, 3246, 513, 4514, 1620, 540, 875, 891, 2238, 666, 9797, 1764, 4213, 269, 1284, 786, 849, 2263, 519, 2591, 5185, 676, 3906, 950, 4058, 543, 22589, 891, 3292, 543, 1865, 2994, 547, 7753, 873, 780, 2862, 269, 4197, 23654, 15638, 692, 288, 269, 9502, 543, 20828, 692, 290, 2734, 622, 2621, 3277, 547, 6896, 19771, 23032, 676, 513, 2754, 585, 1585, 5301, 267, 1519, 9441, 2866, 267, 1587, 31782, 267, 19014, 267, 2319, 2679, 267, 543, 7817, 9913, 269, 1452, 2621, 1683, 3255, 585, 13033, 267, 1565, 267, 543, 5807, 23274, 1851, 5171, 269, 5047, 267, 789, 948, 3986, 513, 2754, 781, 10639, 543, 15287, 1369, 922, 2872, 780, 289, 269, 9537, 540, 23654, 15638, 692, 2467, 616, 3875, 2010, 540, 9746, 2621, 267, 1142, 7674, 3982, 6859, 269, 2368, 1455, 3283, 1331, 1384, 272, 269, 4762, 3720, 910, 20283, 902, 1141, 4648, 2671, 1702, 267, 2093, 267, 543, 1655, 2853, 998, 14245, 267, 8470, 5717, 267, 543, 11925, 563, 273, 269, 11780, 31698, 910, 1401, 3031, 1431, 15386, 2472, 543, 2533, 6035, 676, 2789, 3549, 1369, 513, 1808, 2872, 563, 274, 269, 12054, 21577, 910, 12409, 7886, 5059, 593, 3450, 28752, 827, 1880, 3584, 610, 1983, 563, 275, 269, 12243, 8490, 11242, 910, 3718, 10914, 2966, 547, 6536, 5698, 267, 2792, 267, 543, 1966, 9010, 5759, 1851, 9164, 563, 276, 269, 8605, 5487, 31708, 910, 10558, 725, 10962, 1007, 17008, 547, 5561, 267, 4891, 267, 543, 2923, 13222, 563, 277, 269, 1849, 1304, 30007, 910, 4934, 902, 6322, 693, 14304, 3347, 1063, 3549, 543, 741, 7218, 998, 2189, 2833, 780, 7656, 269, 634, 10020, 540, 769, 1417, 1161, 13488, 538, 6355, 11773, 692, 288, 269, 20223, 769, 1417, 1161, 13488, 692, 1103, 1417, 1161, 2951, 3322, 14785, 1164, 12656, 14127, 5520, 267, 6455, 6887, 267, 610, 12595, 7218, 609, 12600, 15143, 547, 14909, 18353, 269, 1452, 15322, 1419, 4183, 29413, 22581, 267, 14850, 335, 5803, 621, 10719, 2456, 267, 543, 20605, 2833, 3358, 547, 23700, 262, 7375, 780, 289, 269, 11588, 540, 769, 1417, 1161, 13488, 692, 10932, 6920, 602, 1134, 27059, 15314, 2951, 3292, 666, 6556, 8101, 2640, 585, 1312, 2043, 543, 3906, 267, 971, 607, 1384, 272, 269, 16842, 31802, 910, 23779, 543, 12587, 3177, 998, 15314, 2951, 4196, 607, 3532, 4665, 2209, 585, 5520, 267, 6117, 4824, 2773, 543, 7607, 563, 273, 269, 24046, 700, 5819, 1399, 910, 1635, 10115, 538, 12300, 2833, 585, 1283, 22407, 543, 10121, 7218, 267, 3549, 6542, 7071, 543, 7029, 267, 3056, 547, 6793, 1279, 3856, 3347, 563, 274, 269, 20865, 32730, 19662, 910, 769, 1417, 1161, 2951, 2488, 4686, 3255, 585, 5171, 547, 1628, 4296, 609, 9905, 267, 2706, 12542, 267, 543, 7218, 538, 17159, 5468, 267, 14123, 1344, 5385, 543, 9316, 563, 275, 269, 15474, 15952, 12005, 910, 14992, 16475, 11141, 15314, 2951, 3292, 6633, 880, 741, 8088, 725, 607, 10694, 12820, 543, 6325, 1870, 4891, 780, 4353, 269, 12020, 21988, 23654, 15638, 543, 769, 1417, 1161, 13488, 15789, 692, 288, 269, 17553, 13068, 20505, 692, 6524, 25054, 593, 2680, 610, 15314, 2951, 4058, 267, 3715, 2312, 3853, 13988, 609, 707, 3919, 781, 7580, 14422, 269, 6201, 1331, 20993, 6455, 8907, 267, 7393, 3444, 1922, 23341, 5698, 267, 610, 5009, 3318, 1646, 780, 289, 269, 17291, 27010, 10748, 1466, 692, 29991, 945, 786, 7390, 519, 9746, 2680, 610, 7119, 538, 519, 15314, 2951, 1982, 269, 6333, 2188, 899, 2816, 5107, 267, 5578, 2157, 267, 4690, 267, 543, 13664, 6753, 547, 2327, 10083, 543, 6278, 780, 290, 269, 29922, 30785, 10469, 1132, 543, 20121, 5209, 692, 16521, 28503, 543, 18353, 602, 5447, 609, 707, 3077, 5304, 781, 7375, 543, 9148, 519, 3483, 540, 519, 11018, 269, 11790, 547, 2015, 1331, 10333, 267, 22098, 2298, 267, 2199, 18845, 267, 543, 2686, 4644, 780, 291, 269, 27588, 12056, 23800, 692, 8620, 15138, 543, 7317, 989, 31789, 6220, 3309, 12043, 630, 30005, 725, 267, 11925, 267, 1514, 856, 902, 264, 543, 5466, 22317, 2152, 269, 1280, 15314, 2951, 3292, 267, 1904, 585, 16419, 32751, 687, 10452, 23700, 262, 18653, 543, 17050, 780, 292, 269, 25732, 6356, 4369, 692, 15307, 28344, 14573, 547, 6218, 1967, 543, 22945, 2132, 593, 5092, 630, 4629, 296, 1040, 5450, 7879, 949, 7854, 16045, 9547, 3928, 267, 2799, 6455, 19614, 267, 8476, 10319, 5615, 267, 610, 2318, 5955, 4607, 689, 8639, 780, 309, 269, 28304, 12694, 538, 5029, 1944, 23654, 15638, 543, 769, 1417, 1161, 13488, 692, 8601, 741, 1761, 5383, 267, 12180, 9746, 2621, 543, 15314, 2951, 2501, 609, 7915, 7965, 269, 18601, 891, 9465, 3340, 6297, 7156, 543, 14942, 3800, 267, 971, 607, 1384, 272, 269, 20907, 5004, 910, 2353, 11229, 2200, 4140, 5534, 569, 2066, 1585, 3344, 540, 2680, 4058, 543, 15314, 2951, 2359, 267, 4180, 6099, 21614, 296, 1510, 18731, 2298, 563, 273, 269, 5384, 4790, 571, 6493, 910, 3763, 10853, 28868, 543, 15518, 622, 4247, 7561, 547, 20928, 3157, 543, 7413, 2566, 563, 274, 269, 18509, 1588, 29203, 910, 22676, 720, 2029, 5867, 543, 4810, 21527, 547, 4383, 17825, 267, 10618, 267, 543, 824, 2565, 3334, 16900, 563, 275, 269, 28597, 21976, 910, 13773, 32448, 540, 3656, 6042, 12044, 9746, 2621, 543, 15314, 2951, 267, 3226, 3823, 3454, 6286, 267, 1239, 7834, 267, 543, 1072, 1299, 3106, 4441, 780, 9654, 269, 7464, 21509, 7151, 281, 8865, 5530, 540, 16156, 4975, 9990, 692, 8269, 518, 2590, 1394, 547, 938, 6679, 1349, 267, 1577, 721, 5659, 513, 19858, 9183, 5473, 519, 16156, 4975, 9990, 11356, 6849, 6578, 10148, 1813, 547, 4389, 11483, 7644, 7616, 269, 1677, 2232, 713, 4161, 267, 519, 3919, 1223, 2015, 4244, 14104, 3681, 971, 607, 13384, 832, 4721, 610, 12352, 609, 4143, 9988, 5461, 538, 8757, 519, 8313, 781, 3988, 1222, 3490, 269, 3958, 267, 3695, 1942, 15807, 28379, 8925, 630, 324, 3052, 1421, 9945, 267, 1071, 268, 11529, 5624, 264, 543, 27410, 15028, 3928, 609, 14273, 1522, 13468, 2883, 12503, 269, 14936, 267, 10128, 3059, 4066, 630, 933, 16535, 1513, 267, 2661, 18297, 264, 883, 10554, 5752, 1223, 2569, 2949, 24723, 1247, 4509, 2502, 2833, 585, 28752, 780, 23997, 269, 10390, 692, 16391, 3074, 5051, 5431, 519, 1871, 540, 9746, 2621, 543, 15314, 2951, 538, 8236, 7580, 6859, 267, 5807, 2178, 3347, 267, 543, 1114, 11868, 2933, 1369, 741, 6080, 269, 1717, 267, 16734, 891, 2640, 19329, 22111, 4058, 267, 11056, 267, 543, 6268, 269, 1635, 1739, 1655, 2853, 13890, 2429, 713, 3184, 543, 6967, 21713, 1996, 6932, 2591, 267, 3549, 666, 12260, 519, 2407, 1761, 540, 9746, 2621, 543, 15314, 2951, 267, 4412, 2454, 873, 2509, 13455, 2208, 543, 13884, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 332, 10185, 267, 795, 2317, 476, 276, 267, 476, 1001, 278, 454, 22013, 6062, 4975, 9990, 454, 1492, 327, 8114, 2593, 3068, 1504, 2593, 270, 1492, 327, 8114, 1000, 7867, 2593, 270, 1492, 20189, 8114, 454, 2764, 3817, 10563, 499, 360, 19238, 373, 1015, 269, 876, 454, 303, 678, 514, 22788, 693, 1547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15350, 5940, 25344, 543, 717, 2355, 281, 4197, 19837, 1539, 894, 14740, 13081, 692, 5331, 952, 707, 1655, 3659, 10393, 7948, 1405, 3314, 1945, 1271, 602, 5949, 1175, 19108, 269, 2107, 6148, 789, 3323, 9117, 8335, 267, 899, 6340, 538, 513, 4914, 20020, 610, 1210, 1913, 789, 9327, 1405, 7363, 946, 269, 901, 1522, 3100, 9490, 267, 1318, 286, 1809, 1018, 952, 713, 729, 8345, 3330, 707, 1360, 1378, 2247, 286, 2334, 781, 4010, 1018, 4523, 547, 1004, 2713, 609, 513, 2783, 1572, 19837, 1539, 894, 14740, 13081, 630, 291, 2839, 1070, 799, 1031, 547, 581, 1572, 13038, 22226, 13081, 780, 10144, 609, 667, 2839, 1995, 2348, 1079, 610, 811, 5094, 9163, 267, 1634, 607, 834, 531, 1562, 2437, 602, 1491, 1852, 540, 741, 3527, 543, 4555, 693, 1585, 2053, 269, 898, 781, 3592, 899, 972, 616, 2789, 7606, 4687, 835, 1560, 256, 1452, 32290, 666, 723, 3982, 25469, 267, 6502, 267, 14789, 267, 4654, 267, 4978, 267, 4529, 267, 5615, 1107, 596, 2012, 621, 256, 6884, 891, 32290, 11677, 1808, 8823, 267, 2523, 1346, 5532, 547, 3929, 8194, 267, 6466, 824, 32290, 1810, 1405, 2671, 1346, 1482, 973, 565, 27928, 269, 1924, 875, 1281, 3965, 1404, 513, 1909, 538, 667, 2839, 286, 4270, 267, 1577, 781, 4685, 4514, 883, 1620, 3965, 1253, 25344, 543, 10616, 2404, 609, 713, 4241, 2943, 1950, 5626, 7613, 780, 300, 655, 1559, 616, 31868, 2044, 2370, 1919, 282, 3006, 267, 938, 12058, 1689, 873, 936, 942, 267, 4946, 1007, 3877, 610, 30534, 2025, 3283, 269, 1280, 1034, 540, 721, 267, 891, 2242, 2049, 7930, 543, 5749, 1405, 2356, 18476, 269, 1717, 267, 2043, 609, 667, 2839, 1419, 3068, 27290, 19260, 538, 741, 8823, 1813, 547, 519, 3310, 540, 741, 3309, 32290, 269, 1323, 7369, 9013, 519, 9637, 1282, 513, 1880, 4090, 1223, 5732, 3337, 519, 1259, 8823, 1205, 6740, 610, 27416, 2663, 269, 5994, 5870, 2576, 1007, 855, 1287, 2348, 1776, 7369, 1491, 5279, 1354, 22867, 602, 7237, 547, 1279, 3856, 3965, 4859, 269, 1879, 15175, 1394, 547, 519, 3312, 7369, 267, 789, 1522, 6560, 547, 11291, 4105, 3344, 540, 519, 5872, 269, 6684, 267, 1142, 7369, 1522, 13498, 3871, 8335, 1759, 593, 741, 2189, 7592, 267, 4611, 538, 8795, 6589, 540, 3838, 2833, 1851, 32290, 780, 3086, 4952, 7680, 513, 1253, 7675, 2680, 543, 1152, 835, 7369, 6585, 5196, 602, 11213, 3965, 269, 13536, 267, 950, 20402, 827, 519, 10071, 267, 519, 3119, 7369, 1522, 20912, 1022, 1702, 540, 621, 1317, 789, 2760, 4810, 6862, 15422, 621, 20250, 269, 11531, 267, 519, 14595, 7209, 11438, 519, 11411, 540, 882, 1516, 602, 15779, 12558, 4805, 269, 3683, 342, 3559, 2719, 4664, 13615, 547, 971, 13685, 949, 2417, 635, 12393, 6927, 267, 4929, 7161, 610, 10616, 538, 3965, 23023, 2066, 32290, 780, 4322, 2591, 5031, 1946, 23235, 543, 8156, 667, 2839, 3340, 10373, 9639, 267, 5578, 267, 543, 6568, 269, 10076, 1072, 4648, 960, 5702, 609, 2550, 267, 4543, 873, 6330, 998, 14845, 3965, 8916, 1247, 5807, 2792, 1063, 32290, 269, 1635, 3257, 865, 267, 16293, 2832, 547, 1711, 22122, 543, 9322, 1369, 606, 1367, 781, 27929, 20369, 3832, 780, 1103, 5758, 267, 19837, 1539, 894, 14740, 13081, 6799, 10578, 4030, 883, 1480, 3965, 543, 3961, 5250, 269, 2755, 7231, 609, 3965, 1253, 25344, 543, 10616, 666, 6961, 4101, 267, 1565, 827, 713, 16613, 2783, 2636, 721, 547, 5660, 519, 6909, 6988, 543, 6043, 540, 519, 1480, 2247, 269, 5457, 267, 1169, 2634, 1568, 19918, 267, 15268, 543, 9687, 2429, 938, 2729, 910, 1454, 899, 519, 7415, 2043, 945, 2661, 609, 2175, 971, 607, 667, 2839, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22818, 596, 4076, 2907, 4862, 540, 667, 2839, 281, 19837, 1539, 894, 14740, 13081, 563, 2171, 2461, 6217, 811, 543, 811, 827, 621, 538, 519, 2923, 267, 543, 649, 666, 1256, 1265, 621, 538, 1978, 8874, 630, 324, 3052, 269, 590, 5902, 1040, 1306, 513, 1267, 267, 1312, 3020, 543, 7301, 1344, 827, 713, 21454, 568, 21883, 269, 2913, 779, 1491, 513, 1413, 693, 570, 14888, 1927, 2336, 272, 269, 1548, 568, 4744, 1539, 894, 3961, 4524, 888, 291, 1170, 1539, 894, 14740, 13081, 630, 291, 2839, 264, 568, 513, 2790, 4524, 19497, 1634, 607, 13038, 22226, 13081, 630, 6573, 291, 1916, 763, 4524, 568, 6353, 676, 519, 4527, 540, 835, 610, 811, 32290, 630, 1211, 885, 264, 945, 1491, 621, 538, 7140, 547, 1491, 1852, 540, 519, 1268, 563, 763, 1114, 9163, 602, 666, 581, 1336, 538, 667, 2839, 616, 1572, 968, 2704, 1562, 9731, 2704, 1562, 616, 711, 782, 519, 1482, 269, 1358, 949, 711, 723, 519, 1482, 4008, 267, 2085, 610, 7209, 269, 1358, 949, 849, 8428, 538, 1893, 269, 2290, 1325, 614, 949, 3717, 2296, 1247, 782, 519, 1866, 3717, 3943, 267, 585, 1383, 269, 1358, 4465, 1406, 723, 519, 1482, 4978, 267, 4529, 610, 2623, 269, 3962, 1325, 614, 814, 922, 1378, 8823, 267, 609, 930, 20808, 8823, 540, 15779, 2621, 1247, 1866, 688, 341, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 25514, 5940, 25344, 543, 717, 2355, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 19837, 1539, 894, 14740, 13081, 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, 0, 1306, 519, 3141, 3459, 547, 1305, 593, 519, 1507, 4884, 540, 24442, 6807, 267, 3025, 729, 11112, 8600, 585, 519, 19670, 7088, 269, 25561, 5505, 1185, 1044, 9477, 513, 7372, 1000, 3563, 18188, 2786, 2509, 873, 267, 9621, 9552, 543, 14784, 269, 4014, 789, 14201, 1406, 607, 796, 331, 13806, 607, 18703, 267, 2348, 1044, 23542, 1639, 2185, 2053, 538, 1175, 27552, 1296, 267, 519, 4961, 540, 24442, 6807, 6785, 789, 7948, 1406, 6488, 547, 30391, 12624, 7186, 780, 1103, 519, 2295, 540, 519, 4884, 5030, 519, 8592, 976, 1107, 513, 1920, 1134, 1790, 10517, 1563, 585, 1022, 9568, 269, 1358, 1185, 3710, 606, 11895, 7088, 536, 6064, 518, 538, 741, 18147, 1310, 11504, 513, 3106, 29519, 4371, 676, 15776, 12340, 28331, 2006, 26673, 3205, 267, 16628, 540, 519, 8549, 19137, 585, 15822, 23467, 630, 14566, 23808, 1040, 11109, 4862, 3771, 8089, 2984, 689, 1200, 827, 10034, 530, 21317, 1055, 519, 4786, 1813, 547, 13385, 4027, 1996, 2067, 1608, 600, 885, 267, 6004, 269, 9652, 5433, 25997, 547, 2327, 1010, 1920, 779, 3106, 780, 4002, 519, 824, 2427, 540, 4884, 759, 3660, 519, 2961, 1562, 267, 945, 941, 1869, 26617, 827, 10115, 2724, 538, 14335, 513, 2922, 4055, 269, 968, 296, 1589, 621, 779, 11991, 2223, 11427, 269, 25020, 11130, 267, 968, 2171, 723, 2614, 21855, 891, 2395, 282, 649, 1223, 2141, 4734, 4884, 952, 2877, 1848, 4173, 9393, 267, 2705, 267, 7012, 1406, 865, 2386, 269, 1261, 27416, 875, 1978, 16973, 538, 18703, 24714, 789, 1185, 1697, 24181, 1282, 519, 2063, 28575, 799, 10645, 476, 2190, 2729, 780, 19602, 267, 25867, 16399, 693, 12493, 4400, 3427, 5185, 513, 2147, 14196, 269, 2755, 1352, 6956, 519, 2956, 540, 17516, 513, 2922, 2230, 1369, 519, 1153, 22402, 267, 6578, 10148, 1500, 621, 3100, 7543, 269, 1717, 267, 7487, 1453, 4730, 3544, 5103, 519, 31587, 8594, 13489, 1042, 1945, 3330, 1200, 269, 10318, 1441, 267, 1352, 4956, 547, 3914, 856, 547, 2199, 4213, 5275, 1489, 780, 12988, 693, 519, 9652, 15335, 267, 2370, 15207, 4280, 1010, 4651, 267, 968, 291, 23098, 267, 1946, 798, 649, 991, 513, 2462, 8559, 538, 938, 13452, 9495, 3571, 19033, 20493, 267, 7713, 267, 968, 2005, 781, 938, 2027, 15720, 1747, 267, 5067, 269, 1879, 972, 779, 513, 3983, 7088, 4947, 267, 649, 979, 1524, 972, 2394, 621, 10596, 269, 898, 8952, 721, 2922, 14325, 4263, 519, 1482, 942, 267, 936, 693, 519, 25020, 7622, 267, 1762, 14667, 14478, 519, 3377, 6179, 3585, 1247, 1200, 3237, 23503, 269, 22628, 1200, 4160, 267, 6004, 269, 25020, 15260, 3293, 1200, 267, 968, 10673, 1406, 5855, 267, 6653, 24711, 269, 1403, 1919, 1205, 2731, 3983, 267, 649, 3580, 5577, 883, 519, 1286, 543, 5397, 2476, 14325, 2026, 519, 1101, 31830, 338, 540, 2842, 3323, 18644, 24442, 6807, 267, 11784, 1671, 4240, 1851, 922, 11317, 269, 3509, 32357, 547, 741, 6517, 15691, 547, 9101, 267, 1247, 1866, 8179, 3382, 16382, 2009, 910, 5008, 1115, 267, 3490, 906, 267, 1256, 8602, 30344, 338, 269, 10251, 267, 930, 4025, 6035, 2370, 4027, 1996, 519, 1395, 560, 9317, 28575, 751, 2130, 998, 4884, 780, 8649, 573, 560, 782, 713, 14784, 267, 519, 8592, 976, 9108, 26731, 883, 741, 25167, 536, 6064, 518, 267, 9350, 569, 7996, 856, 519, 7088, 1927, 269, 21661, 4884, 267, 7064, 547, 25867, 16399, 781, 29287, 3646, 267, 519, 1053, 540, 12493, 4400, 1336, 9675, 538, 513, 9241, 9112, 2922, 4055, 269, 2552, 337, 3320, 267, 519, 2961, 1562, 8694, 909, 12758, 538, 6808, 3843, 547, 25176, 4884, 267, 6028, 873, 6534, 547, 519, 2407, 32716, 540, 2470, 780, 2691, 21554, 13264, 267, 24442, 6807, 7444, 7153, 689, 9944, 519, 6299, 1076, 2451, 3297, 269, 30586, 267, 1813, 547, 15416, 3144, 676, 1896, 3885, 543, 5238, 267, 25096, 941, 8766, 3379, 547, 1018, 1223, 723, 1044, 269, 2506, 27679, 13602, 6825, 1141, 8075, 2899, 11542, 267, 855, 9624, 519, 20739, 1188, 720, 267, 4126, 7173, 9229, 780, 8893, 4121, 267, 519, 2961, 1562, 6368, 7691, 519, 1871, 540, 2348, 513, 5150, 12062, 2673, 676, 269, 1656, 1498, 521, 5417, 2989, 676, 519, 2530, 267, 789, 12247, 539, 2760, 1586, 547, 14207, 741, 3106, 269, 30027, 3585, 267, 6273, 676, 25867, 16399, 781, 11036, 267, 811, 3506, 2066, 519, 2197, 15748, 2508, 24597, 11044, 547, 1628, 10930, 6703, 267, 5807, 6793, 2950, 4712, 547, 3068, 8726, 2501, 1985, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 5649, 519, 1739, 2376, 543, 2824, 519, 1655, 2626, 269, 9137, 281, 634, 21219, 540, 18703, 267, 20274, 267, 513, 4884, 3186, 1192, 539, 585, 519, 8772, 942, 538, 476, 1691, 1296, 676, 513, 2101, 28575, 2073, 616, 513, 12576, 602, 1699, 2679, 9479, 476, 666, 1405, 798, 1454, 547, 2061, 3959, 9552, 543, 2530, 540, 1272, 267, 2523, 950, 513, 3532, 28575, 11912, 998, 4884, 269, 1809, 519, 2698, 2669, 1297, 666, 581, 4389, 950, 1004, 1491, 12062, 538, 11895, 7088, 536, 6064, 619, 543, 2182, 2989, 2922, 11623, 269, 634, 28575, 602, 20077, 513, 2619, 540, 9552, 998, 18703, 3576, 476, 2190, 2729, 269, 4706, 12798, 941, 9219, 539, 693, 476, 6110, 12919, 829, 5662, 269, 2060, 1152, 476, 1428, 3764, 262, 9963, 267, 7264, 19679, 4884, 610, 3576, 9675, 538, 519, 6109, 652, 15174, 540, 741, 5321, 269, 634, 9939, 5006, 941, 2111, 547, 18214, 883, 24181, 610, 1847, 547, 2922, 11623, 269, 476, 769, 18703, 1346, 11623, 10710, 2729, 269, 1809, 693, 1079, 3506, 10032, 676, 11728, 781, 28575, 267, 1100, 971, 12062, 729, 2139, 269, 15776, 12340, 28331, 2006, 26673, 3205, 568, 16628, 540, 513, 1875, 17416, 1895, 1572, 519, 8549, 19137, 585, 15822, 23467, 269, 2701, 781, 606, 12167, 585, 28575, 2922, 887, 334, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 594, 3314, 950, 1250, 5067, 1101, 5189, 803, 547, 1965, 7964, 269, 594, 6415, 513, 5458, 11176, 10178, 267, 865, 594, 729, 26617, 693, 1101, 269, 1809, 646, 18617, 803, 547, 4585, 513, 3318, 13477, 540, 6181, 1742, 6474, 609, 1864, 267, 543, 594, 723, 547, 16153, 267, 621, 729, 7168, 3078, 256, 898, 18056, 803, 540, 8384, 513, 2673, 3014, 1063, 1079, 14961, 20083, 6887, 538, 519, 715, 14566, 610, 715, 10621, 910, 6266, 540, 4640, 267, 5578, 267, 543, 19076, 13824 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 994, 825, 952, 711, 13292, 912, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 2132, 6936, 7531, 3698, 2638, 318, 7528, 652, 18118, 305, 300, 263, 7528, 652, 18118, 2187, 825, 13292, 815, 556, 26098, 718, 16868, 257, 7268, 342, 266, 9385, 338, 263, 7268, 270, 315, 342, 265, 264, 10954, 338, 12487, 9143, 270, 9385, 323, 26142, 323, 2580, 7662, 18118, 994, 825, 952, 711, 13292, 912, 1038, 2132, 8771, 692, 825, 3116, 912, 1038, 2132, 6936, 7531, 3698, 2638, 318, 10674, 318, 7528, 652, 26371, 7190, 263, 10674, 318, 3863, 12774, 264, 9847, 670, 1777, 335, 26473, 652, 13750, 912, 825, 8173, 825, 4258, 4242, 952, 606, 26824, 7662, 568, 4570, 454, 825, 7024, 912, 825, 2290, 540, 2418, 538, 670, 1777, 335, 26473, 652, 13750, 454, 825, 8173, 825, 2823, 815, 834, 3199, 4840, 825, 8913, 20439, 815, 5291, 318, 3863, 12774, 21858, 19629, 337, 14826, 5602, 825, 952, 7003, 6025, 340, 20439, 264, 3436, 476, 271, 912, 1038, 7662, 18118, 815, 8913, 20439, 314, 271, 2639, 1038, 952, 2638, 318, 7528, 652, 18118, 305, 300, 263, 7528, 652, 18118, 264, 568, 6936, 912, 2018, 7662, 309, 541, 815, 7662, 18118, 21858, 2891, 270, 5602, 2018, 1505, 815, 7662, 309, 541, 314, 271, 2639, 2018, 4528, 815, 7662, 309, 541, 314, 272, 316, 1341, 26230, 1341, 7662, 309, 541, 314, 273, 6540, 2018, 952, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 15234, 543, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 273, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 2018, 8640, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 6540, 2018, 952, 7003, 6025, 340, 20439, 264, 3436, 476, 272, 912, 3546, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 314, 272, 8079, 568, 6936, 912, 7386, 8237, 23175, 518, 815, 8913, 20439, 314, 272, 4940, 20889, 2891, 281, 5602, 7386, 952, 2638, 318, 23175, 518, 1805, 6621, 4433, 5902, 23175, 518, 314, 271, 8079, 568, 8771, 912, 13376, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 3546, 3116, 912, 7386, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 3546, 952, 7003, 6025, 340, 20439, 264, 13843, 476, 273, 912, 7386, 585, 1775, 538, 2039, 263, 273, 267, 7003, 6025, 340, 20439, 15892, 13376, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 5157, 8079, 568, 8771, 912, 23351, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 2018, 3116, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 952, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 275, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 12991, 5588, 318, 24746, 13048, 18306, 3633, 454, 2018, 8640, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 276, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 1205, 21545, 815, 8913, 20439, 314, 272, 4940, 20889, 2891, 281, 15419, 2018, 952, 7003, 263, 1326, 21545, 264, 2652, 476, 274, 912, 3546, 952, 26230, 538, 1205, 21545, 314, 273, 14158, 7386, 2990, 815, 1205, 21545, 314, 273, 4940, 22772, 3488, 270, 5073, 7386, 2823, 815, 1205, 21545, 314, 273, 6012, 281, 6570, 2639, 3546, 3116, 912, 7386, 2823, 815, 1205, 21545, 314, 273, 6540, 1038, 8640, 2638, 318, 7528, 652, 18118, 4456, 263, 7528, 652, 18118, 264, 568, 6936, 912, 2018, 7662, 309, 541, 815, 7662, 18118, 21858, 2891, 19515, 2018, 1505, 815, 7662, 309, 541, 314, 271, 2639, 2018, 4528, 815, 7662, 309, 541, 314, 273, 6540, 2018, 952, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 15234, 543, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 273, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 2018, 8640, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 6540, 2018, 952, 7003, 6025, 340, 20439, 264, 3436, 476, 273, 912, 3546, 585, 1775, 538, 2039, 263, 273, 267, 7003, 6025, 340, 20439, 15892, 7386, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 5157, 8079, 568, 8771, 912, 13376, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 2018, 8640, 7003, 6025, 340, 20439, 264, 2652, 476, 273, 912, 3546, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 314, 272, 8079, 568, 8771, 912, 7386, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 952, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 275, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 12991, 5588, 318, 24746, 13048, 18306, 3633, 454, 2018, 8640, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 276, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 1205, 21545, 815, 8913, 20439, 314, 271, 4940, 20889, 2891, 281, 15419, 2018, 952, 7003, 263, 1326, 21545, 264, 2652, 476, 274, 912, 3546, 952, 26230, 538, 1205, 21545, 314, 272, 14158, 7386, 2990, 815, 1205, 21545, 314, 272, 4940, 22772, 3488, 270, 5073, 7386, 2823, 815, 1205, 21545, 314, 272, 6012, 281, 6570, 2639, 3546, 3116, 912, 7386, 2823, 815, 1205, 21545, 314, 272, 6540, 1038, 3116, 912, 2018, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 1038, 2132, 670, 1777, 335, 26473, 652, 13750, 14371, 302, 7495, 454, 825, 3116, 912, 1038, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 1820, 2891, 314, 13765, 318, 10674, 318, 7528, 652, 26371, 7190, 316, 25956, 803, 32405, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 2020, 825, 1948, 2132, 670, 1777, 335, 26473, 652, 13750, 10422, 299, 19781, 295, 5357, 29308, 7531, 3698, 24846, 1125, 318, 10674, 318, 7528, 652, 263, 7528, 652, 318, 16769, 281, 670, 1777, 335, 26473, 652, 14813, 334, 2187, 825, 8173, 825, 623, 7491, 606, 26824, 7662, 593, 519, 24846, 1242, 630, 20598, 264, 1106, 454, 825, 676, 22212, 519, 3403, 7662, 318, 16769, 1843, 563, 825, 585, 1383, 267, 4228, 513, 2407, 15745, 547, 3448, 2619, 1341, 21118, 20927, 563, 825, 7024, 912, 825, 4986, 267, 855, 1110, 5809, 519, 3403, 1843, 454, 825, 29185, 825, 952, 7003, 263, 7528, 652, 318, 16769, 23584, 619, 264, 3436, 476, 271, 912, 1038, 952, 7662, 318, 16769, 23584, 619, 314, 271, 6012, 272, 316, 11203, 7662, 318, 16769, 269, 7528, 6479, 318, 10676, 912, 2018, 3984, 23175, 518, 815, 22373, 295, 739, 2580, 7662, 318, 16769, 269, 7528, 6479, 318, 10676, 2639, 2018, 7662, 318, 16769, 23584, 619, 27044, 263, 271, 267, 3984, 23175, 518, 994, 825, 3116, 912, 1038, 3984, 23175, 518, 815, 22373, 295, 739, 2580, 7662, 318, 16769, 269, 7528, 6479, 318, 10676, 2639, 1038, 7662, 318, 16769, 23584, 619, 27044, 263, 271, 267, 3984, 23175, 518, 2020, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 1820, 2891, 314, 338, 534, 527, 1125, 318, 10674, 318, 7528, 652, 316, 25956, 803, 32405, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 9239, 19399, 2971, 2162, 454, 258, 23680, 519, 3009, 2630, 607, 568, 563, 19399, 2971, 2162, 7531, 3698, 1205, 318, 1173, 263, 12407, 16229, 267, 9949, 22561, 2187, 825, 8173, 1038, 717, 1115, 513, 4971, 1899, 4661, 676, 4994, 630, 16694, 281, 4994, 6238, 689, 476, 272, 994, 1038, 1403, 519, 4661, 568, 711, 7727, 267, 621, 13290, 547, 946, 513, 9949, 1871, 563, 1038, 1403, 513, 9949, 1871, 3884, 1405, 13859, 267, 606, 5470, 5048, 568, 9102, 454, 1038, 543, 2165, 7149, 519, 1982, 563, 825, 8173, 825, 2119, 912, 1038, 2132, 19523, 27769, 341, 314, 12407, 16229, 2639, 825, 4849, 12039, 13286, 607, 552, 912, 1038, 952, 9949, 912, 2018, 2132, 9949, 454, 1038, 3116, 912, 2018, 1820, 16216, 994, 2018, 1820, 18692, 3546, 535, 257, 314, 293, 2969, 3201, 316, 634, 635, 663, 11060, 4661, 1948, 314, 346, 12407, 16229, 348, 316, 568, 7508, 5602, 2018, 14827, 8987, 272, 264, 476, 1948, 5358, 11056, 8959, 563, 692, 3698, 2638, 18316, 12173, 10031, 825, 8173, 825, 4258, 4242, 952, 713, 3758, 814, 513, 4570, 2012, 585, 2608, 11357, 3939, 20330, 825, 4734, 713, 1599, 543, 607, 543, 1810, 1405, 946, 621, 269, 621, 781, 1175, 454, 825, 547, 711, 1518, 596, 952, 596, 2811, 26446, 513, 3758, 609, 513, 2953, 454, 825, 2012, 563, 825, 8173, 825, 7097, 12173, 815, 15259, 29624, 12500, 553, 17575, 263, 1029, 12803, 1029, 994, 825, 1104, 556, 454, 825, 13292, 815, 556, 26098, 718, 16868, 257, 7268, 323, 346, 275, 20731, 264, 346, 267, 273, 348, 18350, 273, 315, 269, 6853, 2580, 7097, 12173, 994, 825, 952, 711, 13292, 912, 1038, 1820, 6600, 257, 314, 310, 27073, 316, 11711, 2012, 568, 23380, 1496, 346, 27771, 12173, 348, 316, 5602, 825, 3116, 912, 1038, 1820, 6600, 257, 314, 299, 8104, 316, 11711, 2012, 568, 2953, 1701, 9239, 3698, 1292, 10031, 825, 8173, 825, 7490, 4734, 519, 3009, 538, 713, 1599, 607, 568, 563, 825, 1677, 1039, 3009, 602, 3096, 1124, 22806, 267, 1745, 1863, 547, 1039, 3252, 454, 825, 1657, 1292, 543, 3544, 519, 5049, 27969, 692, 825, 1820, 19629, 333, 14826, 5602, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 1820, 6600, 257, 314, 299, 8104, 316, 24614, 4971, 1899, 7440, 1496, 346, 3299, 29717, 21860, 4433, 903, 27769, 341, 14587, 316, 5602, 825, 2638, 18316, 12173, 4590, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 21285, 318, 1636, 20311, 815, 1205, 318, 1173, 263, 272, 267, 476, 6642, 6434, 994, 825, 7127, 318, 4812, 263, 2889, 15383, 318, 1636, 20311, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4205, 1851, 519, 16403, 1186, 267, 2523, 1472, 32615, 8951, 563, 763, 2623, 540, 1312, 5256, 543, 4775, 16403, 1186, 2242, 1282, 891, 5712, 269, 631, 2297, 1831, 811, 8013, 543, 1522, 1256, 4497, 538, 24515, 547, 3094, 519, 3007, 540, 513, 4775, 269, 12339, 2297, 267, 593, 519, 824, 1688, 267, 949, 1397, 811, 1719, 538, 2362, 8573, 21403, 9038, 267, 607, 789, 1223, 2709, 1732, 4027, 543, 6090, 585, 741, 15556, 563, 2691, 621, 2501, 547, 7446, 29982, 267, 32315, 2763, 525, 616, 711, 1360, 4584, 344, 269, 5637, 9038, 543, 8951, 949, 723, 2789, 4891, 2429, 741, 2729, 269, 1717, 267, 1978, 2188, 798, 3310, 741, 3903, 269, 4400, 8573, 21403, 9038, 1419, 723, 811, 3255, 547, 19898, 1813, 547, 741, 4567, 543, 4222, 269, 21834, 849, 1404, 513, 1909, 282, 8951, 1522, 3442, 29982, 609, 6090, 1114, 689, 741, 1378, 547, 2327, 2635, 15556, 563, 12892, 6384, 267, 971, 607, 7554, 4646, 1282, 25462, 543, 824, 4205, 267, 666, 849, 3310, 20282, 5079, 269, 1280, 1383, 267, 513, 4775, 949, 4782, 513, 5256, 945, 814, 1044, 2186, 610, 5363, 547, 1200, 563, 299, 517, 14423, 540, 17716, 454, 6701, 32315, 2763, 525, 1395, 690, 13904, 286, 9521, 930, 2249, 602, 1106, 15400, 1395, 690, 13904, 7554, 267, 32315, 2763, 525, 616, 711, 1395, 690, 13904, 269, 4256, 3347, 616, 811, 10151, 543, 1759, 593, 7525, 2115, 610, 1514, 1796, 902, 269, 2755, 789, 949, 1106, 2178, 1514, 7554, 267, 891, 798, 711, 8209, 14377, 883, 12600, 610, 1279, 3856, 20282, 12352, 269, 901, 568, 538, 4334, 547, 2249, 899, 2220, 753, 610, 930, 20384, 267, 799, 1419, 7649, 609, 835, 19898, 585, 1082, 1296, 610, 1256, 741, 3003, 2729, 269, 769, 519, 1158, 540, 32315, 2763, 525, 267, 8112, 543, 13916, 538, 3347, 616, 1883, 547, 741, 6668, 543, 10285, 1967, 563, 11847, 8793, 11150, 543, 9977, 532, 454, 8139, 519, 10285, 2994, 543, 15970, 6208, 540, 32315, 2763, 525, 3091, 513, 6251, 1413, 693, 1946, 789, 798, 711, 19898, 585, 1272, 563, 2419, 574, 3966, 2763, 525, 723, 513, 4241, 10285, 7350, 269, 21058, 32315, 2763, 525, 3335, 3914, 10285, 2085, 1472, 476, 1724, 1296, 2025, 267, 1247, 9038, 1831, 16770, 9921, 513, 3787, 2663, 269, 9521, 3425, 267, 4775, 32315, 2763, 525, 723, 513, 7298, 11926, 950, 789, 616, 538, 1609, 6350, 267, 15202, 741, 22026, 547, 19898, 269, 901, 1974, 4386, 10199, 1169, 3923, 543, 16569, 585, 827, 476, 1015, 547, 476, 1691, 2395, 563, 1103, 519, 3552, 267, 8951, 949, 2285, 4332, 1169, 476, 276, 547, 476, 277, 1296, 267, 3850, 873, 15792, 942, 547, 1445, 593, 1142, 15556, 269, 634, 1279, 8884, 1063, 24570, 568, 14356, 1813, 547, 519, 6905, 942, 32315, 345, 2465, 11299, 6108, 12391, 585, 741, 1762, 269, 634, 3500, 10285, 2557, 4249, 513, 2565, 1909, 538, 519, 2551, 6384, 540, 32315, 2763, 525, 563, 763, 5539, 540, 9870, 519, 1762, 8813, 6140, 593, 519, 11299, 269, 1358, 12016, 741, 9002, 585, 827, 2947, 1296, 267, 3450, 873, 1898, 6668, 1983, 267, 1514, 5615, 267, 543, 25061, 2553, 269, 901, 2673, 6125, 543, 12675, 1974, 540, 1416, 616, 1898, 585, 519, 6668, 540, 519, 1762, 538, 519, 4101, 1604, 540, 519, 3552, 563, 300, 1446, 32315, 2763, 525, 267, 593, 519, 824, 1688, 267, 10355, 7119, 538, 1463, 1126, 3146, 2130, 269, 4256, 1909, 538, 15970, 568, 1447, 2312, 543, 1419, 9940, 269, 2368, 2090, 2303, 602, 5256, 16403, 1186, 949, 2149, 741, 2146, 267, 799, 2882, 741, 15556, 267, 610, 949, 1106, 7874, 3347, 609, 1762, 16403, 1186, 269, 1717, 267, 789, 798, 711, 1683, 519, 1482, 1377, 540, 1416, 610, 3007, 607, 519, 11299, 269, 901, 6498, 540, 15366, 9021, 568, 1776, 2460, 540, 1946, 32315, 2763, 525, 798, 711, 1106, 15400, 20282, 8424, 267, 607, 1142, 2385, 814, 3982, 5107, 602, 1810, 1406, 8209, 2154, 513, 8628, 11450, 563, 9961, 713, 3408, 267, 649, 1642, 1386, 2620, 883, 519, 1514, 543, 10285, 3344, 540, 32315, 2763, 525, 269, 1452, 28516, 2661, 538, 6946, 7239, 1141, 17282, 267, 15796, 267, 543, 16345, 1404, 2565, 5107, 538, 5935, 741, 5615, 269, 4256, 20282, 6208, 267, 9141, 676, 1585, 6211, 543, 1514, 6384, 267, 616, 1312, 1950, 543, 8465, 269, 1924, 267, 798, 32315, 2763, 525, 19898, 585, 1272, 286, 634, 2312, 2626, 568, 1100, 269, 1358, 1106, 7554, 267, 3006, 2178, 3283, 267, 855, 711, 15400, 20282, 19647, 269, 4197, 519, 14960, 540, 32315, 345, 2465, 20282, 2623, 711, 1152, 27862, 938, 1702, 827, 873, 855, 849, 24259, 1769, 593, 519, 13261, 2994, 6964, 676, 7320, 538, 3309, 9249, 269, 6182, 553, 4771, 891, 2035, 568, 4909, 585, 6626, 7320, 2090, 267, 4180, 649, 1935, 5726, 543, 1382, 609, 513, 11455, 5133, 563, 2710, 932, 574, 3966, 2763, 525, 631, 622, 585, 5020, 286, 3657, 1358, 3933, 690, 13904, 286, 1107, 32279, 18542, 5999, 630, 11902, 304, 994, 1692, 1082, 4891, 798, 16403, 1186, 723, 888, 2419, 31663, 666, 723, 1082, 4891, 269, 1358, 1810, 1406, 6529, 547, 1175, 835, 19898, 269, 769, 741, 2516, 267, 1312, 5256, 543, 4775, 16403, 1186, 949, 19898, 609, 1896, 1866, 563, 2710, 16403, 1186, 19898, 899, 3425, 888, 2419, 31663, 1810, 1406, 19898, 3833, 899, 3425, 269, 1358, 723, 513, 811, 13680, 1935, 267, 1510, 519, 1950, 1514, 7554, 3425, 1419, 723, 269, 1358, 1810, 1406, 2356, 1106, 1279, 3856, 15185, 547, 6318, 741, 1762, 1927, 563, 2710, 16403, 1186, 723, 1395, 690, 13904, 3347, 888, 2419, 31663, 616, 711, 1395, 690, 13904, 269, 1358, 1810, 1406, 723, 513, 1062, 540, 2348, 1152, 835, 19898, 693, 513, 942, 269, 901, 1797, 789, 666, 723, 9002, 609, 1114, 4891, 2429, 741, 2729, 563, 6701, 972, 1022, 3284, 525, 602, 19898, 585, 1272, 888, 294, 756, 19490, 616, 513, 1826, 540, 513, 701, 602, 2356, 19898, 585, 1272, 269, 1358, 1106, 2178, 7554, 609, 741, 4891, 269, 1358, 2461, 606, 9868, 1851, 3284, 525, 267, 1034, 540, 7247, 723, 2789, 29982, 563, 2710, 4775, 16403, 1186, 3442, 741, 29982, 888, 293, 24580, 16403, 1186, 798, 3442, 741, 29982, 269, 1358, 949, 1413, 585, 2178, 610, 1164, 8573, 21403, 9038, 269, 1809, 789, 849, 666, 19898, 609, 1082, 1114, 9038, 267, 711, 1175, 835, 5172, 269, 0, 7922, 690, 281, 10289, 519, 3095, 1063, 8471, 1072, 3795, 543, 1514, 4027, 454, 3528, 590, 1690, 534, 11986, 590, 23186, 340, 267, 8693, 10418, 267, 17842, 454, 763, 8693, 10418, 814, 2221, 1107, 17629, 2657, 15147, 720, 4303, 1107, 3370, 513, 3102, 7650, 540, 8471, 1072, 3795, 607, 513, 30361, 540, 1514, 4027, 563, 26536, 531, 2657, 15147, 720, 607, 513, 14265, 1017, 30346, 541, 585, 4317, 10466, 8711, 2013, 2090, 689, 630, 531, 8224, 1227, 264, 19168, 267, 12868, 267, 16444, 20092, 543, 31512, 807, 267, 2059, 609, 1883, 4030, 585, 11051, 17935, 547, 11753, 1514, 4027, 543, 1072, 3795, 563, 1103, 1142, 2197, 267, 519, 2956, 540, 519, 2817, 5980, 538, 519, 11865, 540, 1072, 1416, 568, 8268, 547, 6542, 519, 1761, 540, 3540, 2486, 607, 513, 2898, 538, 5885, 543, 7393, 3084, 3646, 563, 12892, 4027, 568, 2966, 547, 2569, 6710, 267, 8635, 267, 543, 13438, 267, 1247, 519, 6662, 540, 8471, 1072, 3795, 568, 547, 1683, 1004, 609, 1569, 547, 2298, 543, 12905, 1072, 2533, 1510, 2883, 27465, 282, 789, 5447, 1134, 563, 763, 2078, 568, 2417, 2781, 7757, 676, 519, 4139, 23267, 9257, 779, 476, 1001, 273, 16252, 593, 968, 25791, 4027, 19683, 892, 602, 1683, 5583, 593, 1312, 4747, 4027, 585, 782, 543, 519, 11865, 540, 1898, 3782, 2533, 563, 1103, 519, 2796, 540, 2916, 1689, 267, 3665, 4365, 568, 616, 4397, 547, 8833, 1312, 1949, 267, 17116, 1072, 543, 1134, 5630, 543, 12615, 908, 16526, 563, 12234, 267, 1007, 2916, 5829, 1072, 268, 5142, 802, 971, 607, 2799, 3002, 2566, 610, 519, 3262, 540, 11763, 3676, 949, 22009, 519, 1514, 21876, 540, 1072, 676, 2810, 6710, 563, 2108, 290, 5670, 673, 9271, 543, 3606, 9276, 4611, 689, 3665, 32734, 1430, 2621, 2059, 609, 519, 3500, 12159, 540, 11327, 24454, 602, 616, 8200, 593, 513, 7123, 2916, 1303, 3402, 1004, 538, 6710, 2223, 519, 1007, 5618, 3081, 563, 763, 17692, 13612, 814, 849, 6444, 1514, 4027, 607, 513, 2629, 5092, 585, 2810, 1004, 779, 6043, 547, 2916, 1689, 538, 519, 1034, 7925, 2477, 563, 7659, 4245, 543, 7840, 13890, 538, 519, 5618, 1331, 912, 265, 18204, 1674, 540, 8471, 1072, 3795, 543, 1514, 4027, 2115, 547, 581, 31737, 538, 1876, 563, 265, 13233, 5081, 7724, 666, 1489, 772, 18449, 3853, 543, 3095, 1137, 609, 1514, 4027, 563, 265, 288, 605, 1790, 3233, 1935, 1058, 896, 1467, 1312, 1514, 4027, 543, 8471, 1072, 3795, 563, 265, 7093, 25365, 1514, 4027, 6127, 666, 4217, 538, 8236, 1072, 3795, 585, 782, 563, 265, 10890, 1416, 543, 1514, 4027, 4324, 689, 12570, 2916, 4220, 543, 5222, 563, 26536, 531, 2657, 15147, 720, 4303, 593, 476, 1321, 5412, 568, 519, 5993, 28487, 532, 1448, 585, 519, 2518, 3350, 585, 1072, 585, 782, 267, 16287, 519, 16683, 540, 519, 6167, 779, 23596, 618, 540, 8471, 1072, 3795, 538, 476, 1001, 273, 563, 288, 19176, 4414, 9061, 15321, 2306, 2777, 7125, 538, 513, 5859, 593, 28939, 8611, 538, 14208, 15616, 3687, 327, 4975, 779, 23642, 327, 26960, 327, 8664, 269, 630, 17572, 8666, 281, 634, 1323, 327, 270, 9281, 13612, 4211, 331, 1493, 10418, 264, 0, 763, 991, 585, 4264, 2713, 814, 1831, 1283, 540, 2247, 585, 1082, 23671, 936, 519, 2250, 1906, 1296, 267, 855, 1034, 1648, 18026, 5321, 4043, 547, 723, 11741, 267, 4216, 6438, 5546, 1813, 547, 519, 5394, 2706, 15564, 4327, 6821, 267, 543, 11741, 8766, 2065, 1374, 602, 6971, 519, 2179, 540, 1648, 2877, 585, 8022, 543, 9023, 563, 305, 624, 9771, 610, 4009, 11057, 5321, 616, 1785, 12147, 3280, 543, 4443, 547, 1628, 1247, 3246, 4222, 543, 6617, 269, 634, 15398, 2781, 559, 902, 543, 1930, 1523, 5624, 1419, 1336, 538, 2413, 10357, 7888, 5321, 267, 609, 7344, 14910, 1949, 267, 5000, 5347, 25312, 543, 1732, 2011, 10009, 563, 290, 4209, 5321, 5749, 1406, 585, 3025, 267, 543, 2757, 11265, 6163, 616, 7680, 513, 25174, 538, 4516, 267, 9159, 519, 4337, 5209, 540, 21427, 267, 16413, 267, 543, 2950, 7567, 269, 901, 17105, 1719, 538, 6272, 689, 519, 2250, 11710, 689, 513, 7287, 547, 1921, 609, 2686, 5072, 267, 8661, 1686, 267, 543, 1711, 5624, 602, 16637, 519, 23644, 2470, 540, 4207, 6272, 563, 1607, 3395, 7678, 814, 2016, 4473, 547, 513, 4241, 10167, 267, 1141, 3140, 19259, 10742, 5969, 12967, 2029, 267, 11121, 5321, 602, 711, 1152, 2995, 513, 1650, 855, 849, 18220, 513, 7029, 547, 513, 22928, 267, 811, 4264, 2104, 269, 1284, 2461, 7487, 513, 22111, 5610, 540, 1648, 18026, 2609, 883, 519, 5958, 540, 2757, 8225, 6189, 563, 25565, 11265, 6163, 538, 4516, 454, 15371, 8888, 513, 1007, 2688, 1753, 267, 610, 27164, 7257, 1154, 606, 4540, 3959, 267, 649, 2461, 7487, 3859, 8440, 1373, 15841, 593, 519, 22908, 540, 20096, 267, 16972, 267, 570, 31122, 267, 27207, 2006, 543, 645, 25193, 578, 7648, 267, 543, 593, 7073, 6272, 899, 519, 4639, 11076, 13910, 543, 7073, 12426, 5264, 563, 307, 31122, 4860, 2526, 267, 610, 2048, 332, 1442, 570, 31122, 685, 2511, 5321, 2968, 2442, 538, 519, 2038, 476, 866, 628, 2540, 269, 14301, 6667, 689, 5321, 3710, 538, 519, 570, 31122, 1974, 1063, 476, 16825, 276, 543, 476, 8182, 274, 267, 789, 616, 6353, 676, 741, 30996, 1639, 1055, 7266, 516, 7450, 1811, 267, 14869, 569, 8486, 3481, 575, 762, 22908, 267, 3368, 2389, 574, 828, 532, 267, 544, 21863, 543, 588, 25458, 334, 608, 614, 12542, 267, 16560, 16403, 7958, 267, 543, 1291, 539, 4837, 9486, 563, 2005, 779, 513, 15851, 543, 28677, 11265, 2511, 267, 1634, 585, 922, 14869, 569, 8486, 3481, 1793, 622, 575, 762, 22908, 267, 1507, 18959, 619, 543, 4395, 1922, 5217, 575, 1963, 602, 1711, 513, 10058, 543, 10565, 1413, 269, 1452, 5321, 1419, 1331, 3368, 2389, 574, 828, 532, 267, 9256, 29147, 610, 15839, 609, 3574, 2609, 602, 616, 1312, 16560, 543, 7293, 563, 11900, 728, 267, 26767, 1419, 3769, 6149, 5873, 2195, 267, 3574, 3443, 2454, 267, 609, 818, 3481, 7450, 1811, 543, 15022, 622, 22285, 902, 267, 609, 6534, 20832, 269, 570, 31122, 6989, 4566, 3335, 1185, 1082, 1507, 267, 6101, 11623, 602, 6035, 7834, 563, 763, 570, 31122, 16527, 729, 6353, 676, 1713 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4917, 5417, 815, 630, 15680, 776, 265, 1428, 8358, 1911, 692, 2745, 3488, 4467, 19804, 513, 2163, 334, 632, 476, 1428, 11188, 1298, 334, 694, 340, 521, 5451, 331, 9222, 1780, 541, 5451, 513, 1583, 20270, 15545, 273, 325, 348, 8339, 8971, 4433, 531, 776, 266, 5417, 11723, 258, 910, 524, 4471, 19804, 3473, 528, 527, 15879, 6446, 6460, 320, 513, 2191, 520, 3120, 632, 11019, 290, 16948, 11019, 293, 692, 322, 815, 10581, 9272, 3488, 1103, 845, 324, 513, 2191, 520, 3120, 900, 11019, 290, 281, 1412, 4917, 325, 815, 16733, 280, 2608, 524, 264, 1315, 476, 276, 264, 1341, 476, 3953, 692, 2745, 3488, 288, 2191, 520, 3120, 632, 15079, 4113, 290, 5330, 324, 513, 15079, 4113, 293, 8339, 8971, 6262, 267, 535, 11723, 258, 910, 524, 4471, 19804, 3473, 528, 527, 15879, 6446, 1608, 9908, 522, 27089, 16948, 620, 13610, 19804, 1286, 549, 692, 1485, 815, 703, 9272, 3488, 23797, 657, 1019, 553, 4938, 17845, 535, 545, 537, 635, 522, 1286, 549, 286, 1412, 4917, 14790, 815, 10581, 9272, 3488, 23797, 657, 5998, 4938, 17845, 11425, 537, 286, 1412, 11723, 7407, 815, 630, 1485, 2608, 476, 2568, 264, 1341, 630, 14790, 2608, 476, 271, 269, 1428, 2020, 2745, 3488, 302, 2698, 513, 533, 26196, 20527, 632, 681, 259, 346, 15545, 273, 325, 348, 8339, 8971, 263, 7407, 264, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 948, 721, 1174, 1686, 538, 513, 1187, 543, 2502, 1259, 269, 2913, 781, 4685, 883, 519, 11344, 2085, 540, 20210, 13371, 2835, 543, 1451, 875, 5159, 946, 9423, 547, 3142, 3007, 547, 1271, 2152, 2439, 1262, 1432, 568, 8466, 11470, 15140, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 1305, 538, 1776, 942, 1974, 286, 2334, 781, 3140, 5708, 256, 898, 781, 513, 9135, 1141, 519, 1650, 3217, 1747, 538, 519, 2250, 267, 855, 930, 2694, 1522, 581, 1500, 909, 610, 4957, 5594, 676, 519, 2278, 269, 901, 2337, 1711, 10761, 1247, 1869, 3450, 721, 827, 1483, 2621, 267, 1004, 267, 543, 4529, 780, 1262, 20075, 518, 1290, 545, 7734, 1107, 1133, 515, 731, 12267, 22067, 547, 5020, 4373, 1103, 2487, 1296, 267, 972, 814, 1044, 513, 10006, 540, 1719, 538, 10213, 2150, 1245, 2984, 827, 26173, 2516, 269, 6581, 518, 13371, 2835, 1445, 593, 3197, 945, 2697, 607, 11806, 8656, 266, 630, 299, 525, 15487, 267, 22985, 267, 645, 21361, 267, 3690, 14054, 267, 6581, 518, 267, 3955, 16303, 267, 589, 25757, 267, 543, 811, 264, 543, 741, 2833, 2429, 1686, 269, 1635, 4687, 891, 6386, 267, 3988, 666, 1732, 1174, 1114, 5380, 543, 3895, 13784, 780, 1262, 763, 13642, 16527, 540, 6581, 518, 1290, 545, 7734, 4373, 4407, 20210, 4798, 723, 2141, 11478, 538, 14676, 267, 519, 3735, 476, 736, 628, 2540, 6825, 513, 1713, 6521, 269, 4438, 713, 942, 267, 15888, 3459, 17543, 3695, 14920, 543, 4008, 4763, 538, 741, 960, 269, 1358, 3323, 4101, 6848, 8155, 543, 11319, 6302, 1369, 519, 5420, 269, 3509, 14262, 3126, 7153, 1282, 1018, 649, 1631, 1289, 519, 834, 326, 1245, 523, 5736, 257, 540, 20210, 13371, 2835, 780, 265, 7078, 281, 834, 297, 1074, 344, 22383, 2437, 3370, 538, 519, 2038, 1412, 3445, 338, 267, 729, 835, 540, 519, 1101, 13416, 13371, 3126, 10023, 16175, 14447, 3197, 269, 22177, 1262, 300, 18553, 1107, 5545, 22383, 609, 513, 3828, 626, 4373, 3086, 1577, 781, 2911, 827, 30841, 267, 799, 568, 519, 5545, 2262, 585, 13371, 2835, 269, 631, 18553, 8843, 1082, 10486, 609, 5375, 14676, 855, 849, 814, 2189, 2934, 899, 10058, 1148, 6163, 543, 8470, 29282, 269, 3683, 519, 1296, 267, 30841, 814, 6591, 8560, 5001, 1813, 547, 922, 2647, 3099, 540, 11964, 267, 1519, 3140, 5708, 780, 265, 7078, 281, 834, 16446, 32559, 338, 519, 674, 944, 880, 2437, 513, 2442, 30841, 1305, 538, 3504, 3624, 267, 6645, 519, 9661, 540, 513, 9420, 22459, 8165, 1996, 15746, 543, 7130, 269, 22177, 1262, 292, 770, 7489, 3778, 3414, 631, 18553, 700, 5151, 4373, 6624, 22600, 10440, 630, 332, 18553, 4589, 264, 3442, 547, 6813, 3140, 2621, 543, 5515, 538, 741, 1568, 269, 901, 2636, 873, 547, 2671, 14758, 8153, 3344, 540, 5101, 7489, 2528, 543, 1686, 609, 2518, 9458, 269, 2311, 2053, 267, 891, 2984, 949, 6451, 14070, 2609, 547, 3986, 5467, 6278, 543, 1620, 780, 265, 7078, 281, 834, 309, 698, 629, 1180, 2437, 513, 12021, 30841, 1759, 593, 519, 1272, 540, 19416, 32639, 2006, 4053, 20076, 631, 12011, 600, 9369, 267, 24025, 1249, 543, 5708, 16900, 269, 22177, 1262, 3963, 9701, 1284, 5516, 15140, 3528, 2542, 3140, 5708, 30841, 267, 2523, 1346, 10704, 1472, 26173, 2950, 267, 649, 4228, 938, 20030, 543, 1020, 6568, 2509, 1866, 269, 4197, 3309, 16752, 7512, 16614, 5188, 543, 11942, 513, 811, 8537, 2486, 269, 9578, 267, 1565, 1686, 998, 9159, 3308, 9423, 2306, 621, 1454, 811, 11791, 2439, 3383, 979, 6619, 267, 10544, 930, 30841, 267, 543, 1376, 3695, 519, 3638, 13795, 540, 1480, 1995, 269, 1411, 2760, 917, 799, 6456, 17576, 1522, 1831, 707, 1007, 5172, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12648, 519, 7831, 645, 924, 568, 513, 1463, 4831, 547, 519, 29268, 715, 823, 6497, 1275, 1765, 10223, 14223, 1299, 17933, 676, 20210, 270, 10520, 2950, 538, 519, 29268, 3148, 269, 3962, 12558, 796, 792, 2195, 519, 1419, 23304, 12023, 543, 796, 871, 852, 1194, 3022, 7418, 540, 20210, 1299, 1098, 11570, 547, 1514, 1689, 998, 11042, 267, 13680, 7391, 543, 18759, 593, 29268, 20210, 942, 267, 2230, 267, 543, 1747, 563, 2690, 2055, 267, 8292, 543, 5955, 281, 4757, 11333, 2593, 454, 2414, 1489, 713, 15264, 543, 519, 4659, 267, 5225, 3643, 521, 326, 323, 13318, 3482, 3820, 270, 15130, 454, 295, 739, 281, 681, 11065, 269, 15588, 338, 267, 789, 14121, 1335, 267, 8689, 540, 3292, 585, 519, 29268, 4659, 585, 11557, 7081, 1299, 13834, 16844, 454, 290, 1478, 3203, 281, 1520, 686, 26413, 15966, 768, 1157, 454, 20756, 28624, 32597, 586, 685, 718, 267, 713, 568, 681, 11065, 1421, 707, 21689, 540, 782, 1919, 29268, 267, 22205, 596, 547, 6875, 519, 7831, 645, 924, 267, 513, 1397, 1141, 649, 1491, 29268, 715, 823, 267, 17063, 621, 547, 519, 1439, 540, 513, 5569, 543, 19184, 621, 883, 513, 10720, 15691, 513, 6159, 653, 773, 610, 9267, 2917, 324, 3217, 519, 536, 7159, 563, 4002, 2221, 779, 1397, 267, 594, 1205, 547, 562, 518, 323, 856, 609, 513, 8284, 1433, 11988, 547, 10004, 827, 519, 11344, 5736, 540, 20210, 13371, 2835, 607, 7143, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23208, 11470, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 5101, 7489, 13910, 1315, 631, 18553, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 3695, 519, 13300, 540, 4155, 15143, 2066, 3013, 256, 4653, 267, 649, 3513, 1445, 593, 606, 6909, 8905, 1572, 519, 14844, 31712, 29895, 5244, 3118, 269, 5620, 596, 2479, 16545, 6117, 1524, 513, 29271, 19814, 11303, 676, 4190, 7733, 267, 8978, 4609, 267, 543, 5863, 7320, 286, 1403, 865, 267, 1287, 713, 6288, 3118, 786, 9090, 6952, 707, 3007, 269, 2913, 781, 4685, 883, 1018, 2306, 621, 971, 513, 9735, 3903, 585, 3885, 267, 2828, 267, 543, 1256, 21088, 7045, 3464, 2439, 763, 14844, 31712, 29895, 5244, 3118, 21018, 936, 476, 24496, 5195, 630, 278, 1015, 12919, 264, 689, 27850, 6807, 267, 17906, 267, 782, 519, 1259, 5045, 547, 14844, 31712, 267, 14967, 269, 898, 5205, 513, 3140, 2619, 1031, 676, 7111, 4892, 267, 3864, 13896, 267, 18318, 267, 543, 7980, 2429, 7366, 540, 1296, 269, 1924, 267, 950, 596, 5397, 2059, 713, 28677, 4155, 267, 596, 2811, 2965, 6972, 538, 741, 3723, 25074, 256, 1215, 3579, 568, 602, 2496, 3086, 1577, 803, 5862, 513, 4605, 540, 875, 2027, 713, 7552, 1223, 581, 269, 5994, 4358, 538, 7524, 27850, 6807, 910, 8535, 4975, 7330, 256, 1411, 1522, 3643, 4583, 10916, 801, 3930, 267, 2972, 8949, 8828, 1426, 267, 543, 6432, 547, 2661, 2575, 1354, 4098, 707, 3460, 269, 3973, 267, 607, 596, 4734, 27850, 6807, 3297, 267, 596, 4283, 18932, 3039, 7733, 4904, 609, 7381, 4054, 543, 10477, 3552, 25154, 269, 5901, 707, 4064, 22019, 539, 585, 13650, 267, 2881, 12399, 267, 543, 1256, 3109, 12217, 887, 5446, 1472, 891, 2694, 2439, 2026, 596, 3136, 1524, 519, 14844, 31712, 29895, 5244, 3118, 267, 972, 616, 7899, 540, 13515, 1141, 596, 666, 1451, 827, 1686, 543, 2528, 269, 1280, 3236, 267, 2638, 856, 519, 8585, 12685, 5930, 11066, 13505, 2282, 14208, 1156, 342, 12245, 267, 17906, 269, 9894, 596, 917, 602, 8585, 12685, 5930, 11066, 729, 606, 24413, 945, 5280, 1291, 519, 11066, 543, 18412, 30609, 819, 1394, 538, 519, 2038, 476, 5197, 271, 338, 286, 1261, 5747, 30122, 1175, 5087, 540, 2221, 781, 6288, 3118, 1282, 1010, 2132, 7552, 7178, 1107, 3833, 12357, 267, 1318, 286, 2311, 713, 3135, 267, 596, 666, 1294, 513, 18187, 320, 540, 1010, 18205, 15262, 543, 4952, 1272, 5553, 3516, 780, 10702, 5045, 267, 1810, 1405, 4413, 1912, 1551, 631, 2432, 267, 4092, 3544, 570, 1575, 601, 334, 267, 14967, 269, 1452, 5216, 552, 691, 1156, 544, 2432, 941, 3710, 1063, 476, 272, 5084, 543, 476, 7742, 5084, 676, 22300, 6805, 9082, 269, 1358, 2811, 899, 9649, 13410, 7996, 547, 2671, 741, 11580, 827, 3504, 12977, 2439, 5194, 1390, 4183, 540, 519, 14844, 31712, 29895, 5244, 3118, 568, 519, 11606, 540, 16351, 2238, 2139, 269, 20676, 1235, 2648, 31610, 2059, 519, 8905, 1317, 540, 922, 5347, 31879, 543, 3908, 6808, 269, 670, 1731, 619, 1265, 7772, 538, 3875, 18162, 4839, 4221, 1055, 519, 1292, 4155, 267, 3056, 873, 998, 10053, 18137, 543, 7258, 3777, 17331, 12535, 269, 8805, 3033, 338, 2059, 519, 1259, 1683, 12560, 9634, 585, 1920, 17552, 333, 923, 267, 16074, 13978, 267, 610, 3274, 16889, 1310, 513, 1279, 1554, 540, 3408, 780, 7661, 267, 1100, 4155, 7552, 1131, 581, 2347, 1510, 3843, 2199, 10366, 269, 13966, 519, 14844, 31712, 29895, 5244, 3118, 267, 521, 2948, 5023, 22476, 3046, 13069, 826, 8286, 267, 521, 760, 6653, 7401, 267, 6492, 19471, 4672, 8645, 267, 543, 32696, 538, 3636, 536, 4593, 7057, 1159, 6139, 1042, 538, 4829, 28933, 269, 962, 636, 2439, 3383, 267, 3640, 909, 707, 11435, 267, 10544, 707, 8254, 267, 543, 1205, 4712, 547, 1711, 20605, 8823, 593, 519, 14844, 31712, 29895, 5244, 3118, 269, 5808, 6487, 1018, 9035, 24098, 721, 1472, 1142, 18846, 286, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 1933, 15143, 2709, 513, 2189, 1259, 547, 2263, 519, 1158, 267, 3850, 17631, 547, 1995, 519, 8916, 267, 4529, 267, 543, 1004, 538, 513, 1259, 602, 779, 3274, 711, 2009, 676, 824, 1797, 540, 6283, 269, 3245, 519, 10239, 540, 1715, 10215, 547, 519, 24301, 540, 5245, 267, 1934, 616, 930, 12473, 4155, 7552, 18353, 585, 1346, 3168, 547, 5734, 519, 1930, 4155, 543, 7832, 593, 606, 7045, 563, 6124, 10215, 568, 835, 540, 519, 1655, 2477, 538, 519, 1158, 585, 513, 4155, 7552, 267, 7064, 547, 922, 3309, 8916, 543, 10875, 29278, 269, 634, 2197, 779, 3345, 6816, 3091, 3255, 547, 2263, 24232, 2127, 267, 17822, 267, 543, 11903, 29288, 267, 1247, 519, 3162, 6816, 19646, 23836, 10239, 267, 22260, 267, 543, 535, 329, 3581, 269, 6250, 6002, 666, 10519, 513, 4342, 704, 7079, 610, 1286, 543, 1491, 593, 519, 11599, 6660, 5112, 10003, 267, 799, 12798, 998, 674, 328, 867, 1633, 2817, 5244, 543, 3091, 18198, 5784, 693, 1169, 2490, 269, 4033, 2442, 11507, 1331, 519, 26066, 7414, 23681, 543, 519, 4279, 1325, 18090, 23681, 563, 1103, 5245, 267, 519, 4279, 7909, 10003, 568, 513, 1590, 268, 5408, 10278, 585, 4155, 2468, 13827, 269, 901, 1085, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 520, 31712, 29895, 5244, 3118, 10003, 10222, 1186, 257, 607, 851, 540, 834, 307, 30728, 1315, 2136, 2276, 1315, 3162, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4985, 912, 1103, 2221, 781, 1870, 5251, 267, 5698, 543, 2792, 1851, 2319, 2818, 616, 2629, 3334, 602, 3565, 3648, 547, 513, 2754, 781, 2949, 7607, 543, 4398, 269, 2060, 1082, 3906, 8508, 6552, 960, 1813, 547, 519, 5046, 268, 866, 6855, 267, 1514, 703, 3757, 1115, 723, 1831, 5051, 2442, 607, 789, 1683, 7347, 5698, 2934, 602, 5512, 5520, 547, 5968, 543, 12840, 16900, 269, 901, 3184, 786, 5490, 883, 519, 1523, 540, 1514, 703, 3757, 1115, 267, 741, 2640, 267, 1883, 2934, 267, 6388, 2994, 267, 543, 1655, 2853, 269, 1635, 3695, 891, 3584, 267, 596, 786, 2744, 513, 4514, 1620, 540, 875, 1514, 703, 3757, 1115, 666, 948, 7857, 1125, 707, 1870, 543, 3986, 922, 28211, 538, 476, 1708, 274, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 5726, 286, 589, 5943, 547, 5635, 5683, 5380, 563, 25324, 19912, 538, 5726, 616, 1759, 593, 513, 3099, 540, 1871, 1949, 269, 6270, 3604, 538, 875, 1004, 1871, 2470, 543, 922, 3334, 1291, 547, 1114, 20241, 540, 519, 13919, 540, 5726, 3853, 543, 4485, 267, 543, 1419, 896, 12340, 22195, 538, 519, 19862, 543, 6388, 540, 2825, 2359, 4507, 269, 13018, 267, 2436, 513, 5726, 2962, 630, 324, 3052, 269, 11318, 535, 1968, 7314, 547, 2569, 32456, 593, 6177, 2249, 12219, 609, 14486, 264, 568, 9763, 607, 3617, 610, 711, 666, 4268, 1851, 1004, 609, 1114, 1871, 1949, 269, 3371, 267, 649, 1459, 513, 12497, 267, 6310, 5943, 5497, 607, 513, 1907, 547, 18928, 2263, 543, 12172, 4295, 1871, 6898, 538, 5726, 4485, 269, 4706, 3483, 568, 547, 5031, 875, 4909, 3604, 1063, 891, 1871, 1949, 666, 1291, 547, 1114, 3922, 3074, 540, 2139, 2359, 3681, 543, 2709, 513, 1455, 2666, 585, 11407, 269, 634, 6069, 4834, 31693, 519, 2243, 5817, 1082, 27900, 1472, 2359, 3664, 538, 5726, 281, 1018, 610, 945, 568, 12595, 267, 875, 267, 543, 547, 1018, 6708, 286, 1284, 5635, 875, 2359, 3664, 1131, 2693, 581, 9763, 896, 1614, 4998, 2213, 1871, 1949, 281, 3235, 12510, 878, 5726, 267, 799, 6663, 547, 8190, 9265, 282, 1007, 5726, 267, 799, 15109, 602, 9265, 666, 1152, 581, 12873, 952, 621, 2640, 3425, 282, 543, 2366, 1304, 626, 5726, 267, 799, 6663, 693, 6922, 2358, 7092, 585, 2366, 1304, 7919, 269, 1284, 9414, 519, 10626, 540, 519, 5943, 676, 7311, 621, 547, 2013, 2090, 5473, 12362, 9813, 2249, 267, 17370, 843, 532, 267, 543, 512, 15577, 10122, 269, 1635, 1818, 1871, 1949, 543, 741, 4539, 538, 2259, 8763, 267, 519, 5943, 16881, 9840, 593, 29653, 5726, 2152, 267, 543, 1264, 906, 10952, 1167, 27641, 4485, 827, 5837, 7744, 269, 1284, 3494, 26819, 532, 519, 4295, 1871, 6898, 593, 799, 5726, 3664, 616, 1759, 786, 1683, 606, 3606, 1907, 547, 1174, 543, 2232, 5726, 7526, 269, 0, 763, 3427, 5253, 16958, 11752, 593, 18242, 20456, 2598, 4533, 687, 729, 13950, 676, 674, 10064, 689, 5437, 476, 279, 628, 998, 5412, 476, 1724, 628, 998, 513, 476, 736, 18826, 2228, 18102, 269, 634, 5619, 729, 2366, 547, 782, 24700, 2026, 5665, 1126, 6484, 3292, 547, 5531, 1344, 593, 519, 9165, 540, 519, 3761, 5832, 21463, 543, 1153, 7594, 4238, 1282, 1153, 1032, 476, 1708, 272, 268, 2420, 563, 763, 12426, 547, 3427, 17227, 543, 18043, 5623, 2882, 519, 476, 1001, 280, 12426, 547, 3427, 17227, 282, 513, 10855, 2689, 540, 519, 22340, 12426, 547, 3427, 9886, 1982, 282, 513, 2689, 540, 3370, 1382, 593, 3484, 547, 1153, 2094, 476, 1001, 271, 282, 543, 513, 1305, 540, 11042, 609, 1153, 1426, 2733, 12781, 563, 763, 476, 1001, 275, 12426, 9291, 3964, 513, 11638, 5025, 11765, 17130, 4403, 547, 1683, 11558, 543, 4287, 585, 772, 2529, 269, 4972, 540, 11982, 630, 4785, 6395, 264, 3536, 13950, 676, 519, 5253, 543, 12594, 6796, 630, 293, 10064, 1040, 634, 17130, 10414, 568, 3743, 585, 10442, 543, 5464, 22340, 20161, 3292, 547, 2327, 602, 998, 519, 3892, 540, 6469, 6694, 2472, 267, 519, 3292, 1489, 519, 772, 2529, 269, 3484, 5823, 543, 3565, 547, 519, 1072, 543, 1134, 5630, 540, 2043, 538, 519, 2136, 2276, 269, 901, 3791, 5993, 1867, 547, 6837, 6257, 519, 2238, 540, 519, 4305, 4403, 538, 476, 1001, 278, 563, 24066, 6672, 540, 23227, 566, 18768, 547, 7736, 19974, 12017, 518, 630, 3633, 17248, 2567, 15937, 3955, 574, 16214, 7797, 454, 1607, 1353, 1765, 17769, 676, 519, 476, 1001, 271, 4132, 12594, 2920, 1765, 339, 3949, 5499, 2994, 547, 1439, 6689, 14000, 543, 1426, 22584, 563, 763, 476, 1001, 271, 4132, 12594, 556, 10461, 1436, 3177, 7616, 547, 1449, 5499, 2994, 547, 1439, 6689, 14000, 543, 1426, 22584, 563, 763, 476, 1001, 275, 12426, 9291, 3964, 513, 11638, 5025, 11765, 17130, 4403, 547, 1683, 11558, 543, 4287, 585, 772, 2529, 269, 4972, 540, 11982, 630, 4785, 6395, 264, 3536, 13950, 676, 519, 5253, 543, 12594, 6796, 630, 293, 10064, 1040, 901, 2034, 5993, 1867, 547, 6837, 6257, 519, 2238, 540, 519, 4305, 4403, 538, 476, 1001, 276, 563, 1607, 1353, 10311, 513, 476, 1220, 280, 2079, 540, 519, 8770, 543, 1426, 1895, 1543, 540, 519, 22340, 16639, 6035, 543, 9447, 998, 8549, 6484, 6351, 3292, 269, 898, 12116, 519, 4132, 543, 16989, 5516, 30839, 5358, 630, 290, 3722, 17025, 1070, 519, 2155, 617, 640, 26929, 531, 5253, 5358, 630, 5425, 17025, 1070, 519, 5253, 17392, 5358, 593, 4095, 1763, 969, 725, 630, 293, 7894, 7644, 1070, 543, 634, 17073, 5253, 26859, 5358, 630, 307, 9128, 4338, 264, 538, 16642, 1032, 630, 293, 312, 264, 476, 1001, 275, 543, 519, 2817, 3427, 700, 4875, 5358, 630, 10064, 10861, 264, 538, 1153, 1032, 630, 306, 312, 264, 476, 1001, 274, 268, 1001, 275, 269, 634, 1353, 849, 6059, 519, 13245, 14856, 12039, 630, 4047, 296, 264, 8464, 896, 519, 16777, 296, 268, 1001, 271, 543, 519, 16777, 296, 268, 1220, 276, 18176, 1949, 585, 1142, 1982, 779, 2640, 563, 1607, 1101, 5993, 1867, 547, 6837, 6257, 519, 2238, 540, 519, 11638, 5025, 11765, 17130, 4403, 538, 476, 1001, 275, 563, 1607, 1867, 3096, 8579, 9781, 2553, 547, 2708, 519, 2078, 1063, 1463, 13995, 2773, 543, 1808, 3557, 2853, 267, 5275, 1655, 2853, 543, 3246, 7840, 585, 2276, 547, 946, 950, 3384, 741, 23120, 26094, 12697, 563, 293, 8816, 543, 10448, 4616, 568, 606, 1271, 5057, 540, 513, 7059, 2732, 5812, 609, 519, 26678, 13832, 585, 4892, 543, 519, 5253, 6651, 30958, 269, 674, 10064, 8992, 519, 2799, 4616, 540, 5613, 543, 5388, 267, 538, 782, 3029, 1107, 4195, 267, 13792, 267, 27574, 267, 12015, 543, 23238, 267, 998, 922, 6484, 6351, 3292, 269, 0, 25284, 2719, 538, 595, 12524, 2143, 21038, 585, 6176, 5303, 630, 3951, 264, 585, 476, 1708, 272, 7939, 6437, 814, 1044, 3144, 689, 519, 17555, 29550, 4013, 3896, 543, 4843, 585, 519, 8668, 1053, 269, 1280, 1576, 3009, 267, 1576, 2012, 267, 1297, 540, 17099, 585, 513, 1576, 543, 824, 10325, 1644, 1344, 267, 798, 3643, 2407, 19496, 5396, 2022, 2016, 2630, 563, 2690, 6176, 5303, 476, 273, 526, 12054, 10325, 543, 922, 5396, 267, 798, 3643, 8668, 476, 273, 526, 12054, 476, 1708, 272, 7939, 10325, 269, 634, 2143, 21038, 540, 5752, 538, 524, 8047, 568, 607, 5205, 563, 268, 1677, 5432, 1047, 609, 595, 5752, 21437, 563, 268, 1677, 1020, 3292, 538, 595, 1210, 2596, 21437, 563, 268, 1677, 1020, 3292, 538, 595, 1210, 14249, 563, 268, 1677, 1020, 3156, 538, 595, 1210, 12673, 267, 31452, 267, 3252, 563, 268, 1677, 1020, 3156, 538, 595, 1210, 3889, 563, 268, 1677, 1020, 3156, 538, 595, 1210, 3758, 4393, 563, 8266, 540, 31401, 912, 9616, 281, 634, 2978, 14357, 568, 4397, 547, 1374, 2042, 1759, 593, 519, 3584, 7396, 269, 634, 22410, 4927, 711, 581, 11658, 547, 519, 3732, 6901, 2966, 563, 268, 594, 23860, 6898, 267, 12427, 267, 7215, 454, 268, 3375, 6194, 21437, 281, 952, 268, 12828, 267, 3893, 334, 267, 6467, 30924, 267, 2736, 9762, 514, 826, 454, 268, 10753, 3591, 281, 585, 267, 1247, 267, 798, 19351, 850, 454, 268, 1488, 7590, 281, 476, 272, 291, 543, 476, 273, 291, 267, 11638, 8820, 14249, 267, 21986, 531, 454, 268, 5899, 902, 281, 4238, 454, 268, 12793, 281, 1289, 267, 2132, 267, 8429, 6724, 676, 630, 7407, 267, 4704, 1070, 8429, 14249, 547, 1599, 563, 268, 7313, 26262, 281, 7313, 26262, 547, 3252, 267, 1488, 7590, 267, 18360, 902, 267, 7313, 26262, 547, 7313, 26262, 267, 26275, 540, 7313, 26262, 454, 268, 23113, 281, 715, 6479, 23113, 267, 7313, 26262, 547, 23113, 267, 1488, 7590, 540, 23113, 543, 1133, 687, 563, 268, 28567, 281, 2542, 543, 1603, 267, 11711, 31452, 267, 3758, 4238, 267, 4351, 1569, 267, 16267, 1463, 1161, 563, 26796, 12032, 540, 519, 1576, 267, 519, 1053, 786, 581, 2111, 547, 454, 7476, 7759, 540, 30414, 7033, 564, 762, 16103, 267, 10434, 547, 4383, 7300, 338, 269, 8281, 630, 328, 19138, 264, 585, 5767, 21038, 267, 4626, 564, 1963, 543, 10311, 689, 17555, 1133, 643, 630, 5591, 589, 1091, 267, 3143, 21584, 338, 994, 268, 23227, 622, 1702, 593, 595, 5752, 21437, 563, 268, 3763, 3292, 538, 595, 1210, 2596, 21437, 563, 268, 3763, 3292, 538, 595, 1210, 14249, 563, 268, 3763, 3156, 538, 595, 1210, 12673, 267, 31452, 267, 3252, 563, 268, 3763, 3156, 538, 595, 1210, 3889, 563, 268, 3763, 3156, 538, 595, 1210, 3758, 4393, 563, 268, 1234, 9047, 1320, 732, 10937, 267, 14691, 538, 595, 267, 10228, 2160, 4964, 267, 5822, 9990, 267, 476, 1001, 277, 563, 268, 918, 1716, 662, 534, 267, 645, 15030, 543, 681, 527, 2151, 267, 291, 8160, 267, 634, 595, 14691, 1893, 267, 5822, 9990, 267, 21942, 4065, 267, 476, 1001, 276, 563, 268, 6754, 1546, 527, 601, 543, 29542, 1546, 527, 601, 267, 595, 1215, 547, 5358, 609, 606, 4985, 547, 595, 10030, 267, 661, 12915, 7160, 267, 21942, 4065, 267, 476, 1001, 279, 563, 268, 962, 1662, 342, 656, 20855, 564, 22894, 267, 2913, 721, 595, 267, 476, 1704, 628, 9990, 267, 22680, 289, 23549, 267, 476, 1708, 271, 563, 268, 1635, 1258, 590, 269, 717, 2714, 325, 3072, 267, 968, 306, 15939, 4548, 20895, 540, 7869, 543, 10819, 540, 14691, 609, 595, 5608, 17755, 3863, 6953, 650, 4065, 267, 476, 1960, 277, 563, 268, 623, 2784, 760, 1546, 344, 267, 2494, 553, 13850, 9655, 267, 8950, 26386, 543, 14691, 538, 595, 267, 5822, 454, 268, 9990, 267, 10228, 2160, 4964, 267, 476, 1001, 274, 563, 268, 1323, 7534, 3619, 601, 543, 31828, 599, 14600, 2145, 267, 8950, 26386, 543, 14691, 538, 595, 267, 476, 272, 560, 9990, 267, 21942, 4065, 267, 476, 1001, 274, 563, 2690, 2143, 21038, 540, 782, 824, 5396, 540, 6176, 5303, 267, 476, 1708, 272, 7939, 6437, 798, 3643, 8668, 476, 273, 526, 12054, 1641, 11382, 629, 4926, 585, 476, 1708, 272, 7939, 563, 2690, 782, 6176, 5303, 2164, 267, 3643, 17555, 2160, 8668, 782, 19496, 2164, 1463, 3095, 269, 0, 1607, 3018, 267, 476, 7918, 1296, 3516, 267, 5437, 476, 2420, 267, 476, 3422, 278, 267, 519, 2136, 8315, 8232, 7027, 796, 29434, 3585, 7550, 22375, 476, 26237, 269, 901, 6571, 6322, 547, 3142, 827, 968, 320, 1175, 543, 9434, 4708, 2223, 538, 519, 5664, 5101, 1739, 519, 14520, 4303, 2782, 2947, 3275, 4505, 267, 1141, 5840, 7307, 547, 7001, 8513, 689, 922, 12543, 538, 513, 2112, 540, 1582, 12413, 1619, 269, 22375, 476, 26237, 814, 1044, 4749, 3765, 638, 6838, 676, 5840, 779, 1033, 847, 832, 267, 945, 3409, 602, 621, 7569, 602, 5840, 11198, 689, 782, 519, 11182, 621, 9676, 543, 602, 621, 3112, 2721, 1007, 6302, 269, 1717, 267, 513, 1697, 3656, 7664, 543, 2079, 540, 519, 6571, 2982, 602, 519, 3169, 6587, 6585, 3020, 563, 2304, 4661, 602, 814, 1044, 2322, 4464, 676, 1033, 847, 832, 540, 5840, 568, 602, 519, 8360, 968, 514, 611, 332, 1170, 2225, 540, 519, 11601, 540, 8513, 676, 2112, 892, 538, 22375, 476, 26237, 779, 840, 600, 1076, 840, 11079, 5840, 689, 8066, 5196, 1022, 8513, 621, 9676, 538, 2112, 269, 8616, 267, 2687, 547, 606, 4139, 7040, 540, 10456, 630, 2975, 297, 264, 15194, 267, 840, 3711, 956, 540, 13477, 540, 8315, 21368, 616, 1875, 1532, 4193, 543, 1152, 519, 1766, 894, 6810, 1671, 327, 9068, 3656, 13800, 563, 1607, 15194, 814, 1044, 11843, 936, 689, 519, 13477, 540, 8315, 547, 519, 2136, 8315, 269, 9717, 602, 519, 1951, 1123, 338, 540, 22375, 476, 26237, 5116, 713, 8360, 538, 519, 840, 600, 1076, 607, 10353, 547, 519, 1766, 894, 9433, 2630, 621, 267, 519, 1951, 1123, 338, 14284, 8380, 1022, 10238, 1431, 593, 5840, 689, 1373, 13886, 547, 1007, 6302, 2250, 519, 476, 3707, 280, 6186, 626, 823, 3515, 269, 5015, 267, 3486, 1876, 2306, 513, 11984, 1063, 519, 11601, 540, 8513, 998, 14699, 8957, 1582, 12413, 1619, 269, 15537, 5576, 933, 10964, 267, 513, 5449, 7022, 540, 519, 15096, 297, 267, 7150, 602, 267, 968, 1492, 5013, 540, 519, 4873, 476, 3422, 278, 2048, 306, 1460, 4303, 2782, 685, 6542, 602, 5840, 2746, 539, 1219, 13208, 1996, 519, 3463, 543, 946, 540, 3196, 1996, 1200, 1848, 25392, 713, 267, 5576, 933, 10964, 29499, 602, 267, 968, 288, 1533, 1496, 29994, 316, 9117, 538, 1876, 995, 3635, 540, 922, 1318, 540, 1582, 12413, 1619 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5594, 1447, 14547, 1004, 945, 941, 3833, 11235, 547, 1118, 602, 15093, 269, 670, 841, 7723, 729, 3507, 894, 540, 7319, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 2153, 776, 24601, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 5375, 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, 0, 7170, 281, 1215, 547, 16259, 12465, 8828, 24627, 595, 1389, 585, 28155, 28057, 692, 306, 4822, 24627, 595, 1389, 616, 513, 2757, 11600, 5293, 1524, 998, 5481, 538, 519, 7013, 2136, 2276, 269, 1452, 25394, 1205, 741, 2012, 1317, 789, 616, 2241, 267, 2653, 3562, 2173, 820, 10346, 602, 666, 3049, 513, 15624, 1282, 2053, 540, 14700, 610, 824, 12469, 269, 901, 14392, 786, 3391, 596, 998, 8600, 543, 4687, 707, 1378, 8828, 24627, 595, 1389, 607, 851, 540, 513, 9568, 8323, 4674, 780, 2162, 23123, 1384, 265, 476, 275, 11680, 782, 26928, 7912, 454, 265, 476, 273, 11680, 3043, 4006, 454, 265, 476, 272, 7484, 10448, 3282, 454, 265, 476, 272, 7484, 5144, 454, 265, 476, 275, 5798, 454, 265, 476, 274, 18324, 9398, 11256, 8869, 454, 265, 476, 272, 23188, 6070, 454, 265, 476, 273, 18324, 9398, 29877, 1349, 630, 28436, 994, 265, 18120, 29963, 4006, 610, 15470, 532, 585, 23732, 630, 28436, 2020, 2162, 4675, 15533, 2877, 1384, 265, 17186, 532, 26633, 454, 265, 25732, 11680, 543, 838, 9398, 454, 265, 11272, 3575, 518, 610, 31953, 454, 265, 1975, 520, 3121, 454, 265, 631, 4428, 514, 17646, 610, 14735, 31781, 454, 265, 15346, 532, 24646, 454, 265, 1325, 26891, 23240, 610, 4859, 11149, 585, 6283, 692, 2162, 5153, 476, 272, 281, 20283, 2659, 23123, 543, 4675, 15533, 454, 28444, 675, 596, 723, 3388, 596, 991, 1354, 4358, 519, 5986, 1184, 269, 11109, 782, 5820, 5423, 2306, 519, 11544, 1184, 5488, 543, 23704, 269, 17677, 27902, 602, 596, 723, 2614, 7727, 547, 1118, 2789, 10627, 2583, 952, 2556, 780, 2162, 5153, 476, 273, 281, 2776, 17742, 744, 1597, 543, 16721, 623, 753, 454, 7093, 17742, 14089, 547, 476, 12573, 13790, 630, 12293, 9180, 1040, 13983, 848, 544, 4428, 514, 512, 1231, 610, 14735, 31781, 1210, 7423, 610, 1875, 22496, 10936, 269, 1403, 1818, 7484, 31817, 267, 2015, 16298, 519, 3443, 609, 1957, 13274, 619, 585, 4443, 30749, 543, 3892, 780, 2162, 5153, 476, 274, 281, 28799, 16959, 23123, 454, 1103, 513, 1804, 12826, 267, 9192, 7912, 267, 3043, 4006, 267, 11256, 8869, 267, 543, 6070, 269, 2422, 513, 31953, 610, 3167, 3575, 518, 547, 11100, 1134, 2394, 972, 616, 1100, 804, 7927, 780, 2162, 5153, 476, 275, 281, 5410, 22911, 23123, 454, 11754, 519, 10448, 3282, 267, 5144, 267, 5798, 267, 543, 29877, 1349, 630, 604, 1210, 264, 883, 519, 3819, 7848, 269, 19468, 7444, 693, 1101, 267, 7930, 2810, 3432, 2394, 4402, 3587, 5347, 543, 27598, 269, 2142, 6297, 711, 547, 936, 332, 1460, 282, 713, 949, 1291, 547, 10053, 267, 9157, 25394, 780, 2162, 5153, 476, 276, 281, 20518, 1393, 645, 2660, 4634, 569, 7324, 623, 753, 454, 8794, 513, 22883, 3121, 267, 15814, 519, 4402, 14961, 1851, 519, 6067, 1078, 31781, 269, 19130, 1142, 3296, 5111, 1079, 22188, 2407, 547, 1450, 4055, 585, 8375, 269, 3911, 26743, 856, 519, 25568, 9900, 609, 519, 22883, 3121, 585, 7833, 5920, 780, 2162, 5153, 476, 277, 281, 645, 1136, 5384, 454, 289, 820, 25394, 610, 7484, 31817, 2687, 547, 2450, 1384, 265, 1280, 3044, 13355, 7484, 31817, 281, 27106, 585, 476, 1240, 268, 736, 3764, 610, 2394, 21491, 1157, 17332, 2501, 856, 2973, 563, 265, 1280, 3677, 25394, 281, 27106, 585, 476, 1789, 268, 3374, 3764, 610, 2394, 11344, 6960, 543, 513, 21491, 1157, 17332, 2501, 856, 2973, 780, 16605, 606, 3750, 593, 873, 2509, 519, 1439, 540, 519, 11256, 942, 547, 2061, 8781, 780, 2162, 5153, 476, 278, 281, 15346, 532, 6713, 454, 5629, 11273, 8499, 267, 4894, 25394, 689, 519, 14089, 269, 14190, 9023, 538, 519, 31781, 585, 476, 276, 268, 1015, 3764, 267, 1287, 4483, 5196, 5911, 986, 4242, 547, 3579, 4625, 269, 5269, 2386, 25394, 616, 7357, 22799, 1354, 4946, 15470, 532, 610, 32314, 4006, 780, 2162, 5153, 476, 279, 281, 5463, 28672, 630, 18893, 1308, 994, 2252, 5551, 267, 20057, 548, 13324, 4006, 593, 1283, 540, 4652, 15543, 539, 25394, 610, 10612, 9053, 15470, 532, 5196, 7484, 31817, 585, 3773, 29284, 269, 5901, 23598, 8766, 2065, 865, 2200, 5749, 1405, 24906, 593, 11991, 30996, 880, 906, 780, 2162, 5153, 476, 280, 281, 13268, 720, 543, 13255, 454, 310, 1905, 22799, 25394, 14350, 538, 11956, 23240, 610, 4558, 23385, 1927, 538, 2011, 2389, 697, 11149, 269, 22443, 15004, 5693, 609, 4266, 1500, 543, 9115, 3330, 269, 5548, 1853, 547, 2199, 24181, 267, 1426, 8492, 267, 610, 2146, 7740, 1141, 1346, 4299, 676, 17160, 610, 824, 12469, 666, 2972, 4195, 1532, 8898, 5370, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7617, 1533, 23119, 689, 1034, 540, 17160, 888, 268, 4639, 19377, 454, 268, 31579, 541, 21423, 454, 1103, 799, 8664, 540, 31579, 21531, 8518, 1705, 519, 5689, 11985, 26949, 728, 1491, 1747, 888, 7617, 1533, 4991, 17160, 538, 5162, 3275, 888, 268, 4639, 19377, 454, 268, 20474, 24385, 340, 454, 5560, 1040, 20474, 24385, 340, 454, 1103, 799, 5211, 5127, 568, 31410, 329, 4954, 328, 5211, 6532, 4092, 888, 15152, 799, 1826, 540, 2067, 10898, 267, 798, 2349, 11170, 1841, 2049, 888, 2691, 666, 513, 9651, 1831, 513, 9568, 888, 23744, 513, 9651, 543, 513, 9568, 723, 519, 1482, 2495, 269, 5637, 540, 891, 2014, 2800, 547, 1004, 543, 3959, 269, 1879, 513, 9651, 4386, 593, 513, 1804, 4336, 543, 4386, 10393, 267, 621, 3123, 2800, 547, 513, 1804, 2551, 269, 898, 568, 1287, 1572, 513, 9568, 563, 3963, 616, 891, 811, 16767, 538, 519, 22615, 28569, 543, 538, 519, 5087, 3887, 6141, 3148, 540, 3127, 888, 295, 2711, 28569, 543, 715, 9950, 269, 554, 11035, 3148, 616, 13091, 12155, 2127, 269, 898, 568, 1813, 547, 519, 1249, 602, 4095, 6676, 568, 3001, 5087, 1189, 693, 519, 2557, 540, 476, 272, 4699, 829, 1032, 269, 634, 4095, 6676, 2458, 1938, 609, 519, 20195, 22057, 6676, 267, 609, 519, 1267, 16767, 2049, 2059, 519, 22615, 18885, 9095, 563, 1432, 616, 519, 2596, 4170, 585, 519, 3898, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 8828, 2276, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 17138, 281, 4197, 519, 16338, 9737, 634, 1143, 543, 16183, 1143, 692, 763, 1143, 543, 19473, 1143, 616, 1079, 1713, 10952, 7158, 602, 1004, 3180, 3823, 519, 6228, 610, 1875, 7721, 14571, 540, 2696, 610, 10971, 269, 901, 5850, 786, 1683, 606, 538, 3829, 7778, 540, 1312, 2035, 267, 4543, 596, 1174, 741, 3604, 5693, 780, 1262, 3721, 476, 272, 281, 16294, 634, 1143, 12533, 763, 1143, 568, 519, 3661, 538, 835, 610, 811, 24587, 267, 945, 3335, 4865, 10305, 971, 607, 9631, 23036, 7220, 630, 718, 268, 3104, 532, 1070, 9631, 30876, 582, 775, 630, 684, 15905, 1379, 1070, 13919, 267, 552, 1181, 1275, 267, 543, 5876, 269, 1452, 24587, 949, 581, 22885, 8335, 2066, 1585, 10764, 282, 2705, 267, 789, 782, 2671, 519, 8984, 540, 1373, 2123, 9988, 5827, 540, 9117, 1369, 519, 1158, 269, 6206, 9133, 281, 5457, 602, 519, 1235, 3494, 538, 513, 2362, 1379, 13057, 5837, 3741, 543, 2067, 4031, 780, 1262, 3721, 476, 273, 281, 25826, 11683, 2622, 9671, 687, 262, 634, 2065, 27801, 338, 12533, 6624, 2101, 10764, 1472, 519, 1158, 910, 8567, 267, 5771, 267, 17194, 267, 31881, 11297, 267, 543, 1866, 910, 3490, 741, 10752, 593, 519, 626, 10054, 827, 10143, 9525, 538, 1480, 1272, 543, 519, 7122, 781, 5137, 269, 1635, 1620, 891, 3909, 5380, 267, 596, 666, 9787, 875, 3309, 4529, 4612, 543, 2259, 519, 2065, 4978, 269, 10842, 5202, 281, 3194, 1142, 4984, 14350, 547, 10146, 922, 2189, 7664, 540, 5601, 4433, 264, 543, 1644, 2853, 780, 1262, 3721, 476, 274, 281, 21302, 14803, 3701, 585, 634, 1143, 12533, 15703, 7440, 1489, 519, 2065, 16752, 267, 1519, 14421, 1670, 7440, 630, 324, 3052, 1421, 918, 15401, 15328, 332, 1670, 21261, 267, 2274, 30519, 714, 781, 1230, 1154, 1890, 21261, 1070, 7658, 1670, 7440, 630, 324, 3052, 1421, 5071, 21261, 267, 20963, 6874, 12941, 21261, 1070, 23835, 1670, 7440, 630, 324, 3052, 1421, 1323, 1088, 332, 781, 13115, 1670, 21261, 267, 29439, 26075, 262, 570, 2784, 655, 1046, 21261, 1070, 543, 23913, 7440, 630, 324, 3052, 1421, 13414, 267, 7793, 6291, 1040, 25800, 3054, 609, 891, 7440, 547, 1732, 5660, 1946, 930, 2043, 9772, 519, 2065, 588, 1734, 780, 1262, 3721, 476, 275, 281, 16294, 16183, 1143, 12533, 288, 1492, 1143, 4016, 547, 519, 9000, 540, 3661, 538, 1022, 10971, 610, 24587, 269, 898, 1281, 711, 8209, 27167, 513, 3409, 602, 1100, 10971, 2291, 855, 2864, 18575, 25949, 2509, 16750, 6811, 2394, 6190, 2963, 568, 4843, 269, 2368, 19473, 1235, 1522, 2697, 607, 989, 333, 8251, 267, 14344, 10462, 827, 2436, 24587, 2291, 267, 1247, 1866, 949, 7682, 28594, 8251, 19473, 1143, 267, 19101, 17046, 1702, 602, 1100, 10971, 2291, 269, 6206, 9133, 281, 25506, 602, 19473, 1143, 4564, 513, 8552, 540, 5784, 7282, 519, 10171, 610, 7872, 540, 10971, 262, 6228, 780, 1262, 3721, 476, 276, 281, 10812, 7352, 7724, 540, 16183, 1143, 12533, 2467, 616, 1114, 2010, 540, 19473, 1143, 267, 799, 1331, 17697, 5288, 8763, 19473, 1143, 267, 989, 333, 8251, 19473, 1143, 5288, 28594, 8251, 19473, 1143, 267, 543, 2178, 19473, 1143, 5288, 4617, 19473, 1143, 269, 1955, 14032, 19473, 1235, 3668, 6857, 2219, 827, 5601, 4433, 5148, 8763, 19473, 1235, 8362, 7947, 519, 2856, 540, 10971, 1813, 547, 13385, 2963, 269, 3397, 333, 8251, 19473, 1235, 2226, 972, 568, 13385, 2963, 547, 6166, 2901, 519, 1143, 610, 19473, 1143, 267, 6466, 28594, 8251, 19473, 1235, 3409, 22979, 602, 1100, 10971, 2291, 269, 16200, 19473, 1143, 29102, 602, 10971, 9090, 798, 711, 2291, 267, 1247, 4617, 19473, 1143, 5267, 1152, 771, 10964, 3971, 1510, 6207, 24677, 269, 10842, 5202, 281, 31385, 1142, 1826, 547, 2744, 5813, 883, 8795, 2157, 540, 7029, 543, 24235, 1851, 19473, 1235, 780, 1262, 3721, 476, 277, 281, 6333, 14803, 3701, 18830, 634, 1143, 12533, 13349, 1843, 687, 547, 519, 2065, 16752, 7854, 519, 1966, 540, 9409, 630, 6011, 7092, 543, 5837, 859, 2812, 30598, 609, 606, 782, 27703, 995, 267, 1649, 5271, 565, 550, 25976, 1070, 9266, 29927, 538, 3909, 5931, 267, 519, 6456, 1145, 4661, 630, 23896, 532, 1946, 513, 15962, 5601, 1131, 2611, 10703, 4705, 689, 8103, 1070, 543, 519, 896, 323, 20986, 5098, 630, 8010, 532, 602, 12170, 1239, 3112, 20068, 1947, 6961, 519, 6228, 540, 5601, 4433, 26895, 9861, 5432, 609, 891, 4831, 1173, 3701, 2636, 585, 513, 1134, 25454, 8223, 540, 519, 7521, 4478, 519, 1143, 543, 19473, 1143, 780, 1262, 3721, 476, 278, 281, 18918, 538, 21727, 995, 15511, 12533, 2691, 7234, 519, 1143, 543, 19473, 1143, 267, 2327, 16614, 2792, 676, 6947, 18906, 1947, 267, 6998, 1930, 25804, 2055, 267, 9319, 16041, 1893, 267, 543, 11589, 707, 4555, 9350, 569, 269, 1635, 5807, 16268, 5188, 267, 649, 666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2127, 563, 305, 1846, 723, 835, 1292, 2601, 585, 1373, 23487, 539, 610, 18901, 540, 538, 519, 2250, 5553, 543, 713, 568, 1317, 789, 3262, 2068, 269, 589, 2068, 538, 519, 2250, 1572, 519, 3109, 2669, 610, 519, 11164, 4577, 20575, 267, 729, 10299, 676, 14148, 799, 941, 1102, 6479, 609, 7904, 553, 267, 543, 1317, 540, 713, 476, 1839, 2929, 1004, 829, 1639, 538, 519, 5664, 12698, 563, 3086, 12997, 267, 606, 12176, 540, 519, 2068, 666, 581, 15286, 2094, 649, 723, 1631, 513, 1732, 1620, 540, 519, 2068, 543, 875, 547, 2061, 621, 269, 681, 1846, 2221, 666, 798, 3262, 2068, 1869, 267, 543, 3976, 649, 723, 547, 957, 5612, 547, 2057, 23588, 563, 2252, 596, 1294, 14148, 2713, 543, 9960, 707, 10450, 267, 596, 1058, 581, 6161, 540, 713, 2783, 2094, 3731, 25645, 2068, 1572, 682, 696, 2214, 10098, 3974, 568, 519, 1034, 1455, 547, 2049, 563, 21946, 3000, 7578, 568, 1776, 2068, 602, 596, 666, 3489, 952, 596, 8532, 1216, 610, 1426, 602, 616, 13572, 676, 14148, 269, 1403, 1004, 616, 6534, 547, 3731, 5323, 25940, 610, 3731, 10729, 267, 789, 666, 581, 13572, 609, 519, 2068, 1572, 554, 656, 8785, 267, 543, 849, 713, 2068, 666, 581, 10299, 998, 3731, 11116, 269, 6271, 2068, 568, 1572, 552, 2275, 10008, 799, 568, 513, 1360, 1455, 23588, 1851, 519, 3731, 2551, 543, 13572, 1216, 543, 1426, 1223, 581, 513, 2707, 540, 3968, 1851, 3425, 563, 4910, 1830, 281, 4945, 1934, 585, 811, 9623 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 10304, 1533, 269, 634, 4182, 781, 1514, 3354, 1062, 729, 9450, 547, 1683, 10304, 585, 519, 1004, 834, 5228, 519, 524, 2784, 548, 547, 519, 18205, 1701, 634, 23267, 2229, 849, 3084, 1242, 1883, 6080, 676, 8380, 873, 896, 1857, 1852, 269, 634, 3084, 1242, 6080, 3769, 519, 7813, 540, 4789, 267, 519, 5755, 15183, 267, 519, 4401, 22391, 2420, 281, 543, 5374, 2872, 267, 519, 7841, 1811, 267, 543, 519, 1854, 9535, 2872, 269, 4014, 519, 23267, 2229, 17388, 547, 11177, 519, 2136, 8003, 781, 4346, 267, 2175, 4824, 2370, 269, 681, 566, 532, 543, 824, 29053, 8060, 4797, 269, 634, 2136, 8003, 22666, 8185, 689, 519, 2136, 2276, 269, 13207, 710, 540, 519, 10504, 269, 2622, 2782, 4083, 20177, 519, 12556, 540, 519, 3703, 7276, 267, 1498, 519, 2136, 8003, 1185, 13175, 3138, 657, 2287, 1852, 936, 922, 10504, 4505, 269, 769, 476, 4350, 272, 267, 519, 2136, 8003, 11292, 7115, 1369, 519, 10504, 547, 5245, 267, 4516, 267, 519, 9721, 5131, 3557, 267, 1715, 10215, 267, 1715, 11398, 1633, 267, 543, 3162, 4000, 269, 634, 2477, 2968, 519, 1101, 2818, 540, 519, 20448, 540, 8315, 267, 606, 7681, 540, 2477, 543, 29444, 630, 852, 1572, 18246, 11182, 264, 602, 16309, 519, 10504, 269, 2991, 2622, 2782, 4083, 267, 519, 9082, 540, 4000, 543, 5607, 2799, 741, 7569, 585, 7115, 269, 634, 2136, 8003, 1223, 1100, 3476, 1832, 1852, 540, 922, 10125, 269, 769, 476, 3707, 278, 267, 3127, 543, 9031, 2968, 4830, 6082, 1369, 519, 20448, 269, 769, 476, 3707, 279, 267, 22391, 2537, 281, 9919, 14125, 630, 852, 16444, 20092, 264, 2968, 606, 4830, 20448, 2197, 269, 2334, 1482, 1032, 267, 8738, 2742, 630, 852, 27060, 264, 6913, 7115, 7146, 2451, 519, 20448, 269, 769, 476, 3707, 280, 267, 519, 9721, 5131, 3557, 10294, 3294, 519, 4830, 6243, 540, 8581, 543, 849, 2451, 519, 20448, 269, 2334, 1482, 1032, 267, 1715, 11398, 1633, 2968, 513, 11662, 540, 4516, 269, 3162, 4000, 729, 711, 513, 4759, 540, 519, 20448, 689, 476, 3422, 272, 547, 476, 1960, 275, 1317, 519, 2136, 8003, 1185, 22309, 922, 7292, 4507, 269, 2349, 2931, 1500, 909, 513, 5354, 540, 519, 2551, 538, 3162, 4000, 267, 855, 16543, 6417, 519, 2229, 269, 4746, 267, 519, 3162, 3979, 2229, 1185, 606, 4013, 3609, 540, 7292, 17478, 1572, 32044, 269, 3162, 4000, 556, 14765, 1441, 519, 20448, 950, 621, 8694, 922, 32044, 543, 5795, 17051, 3152, 5639, 538, 519, 2229, 269, 4595, 519, 2038, 476, 4198, 271, 781, 267, 1082, 811, 3703, 22590, 723, 1831, 4830, 6082, 269, 1358, 1331, 5696, 2317, 328, 267, 30259, 267, 19168, 267, 15057, 267, 17111, 267, 5689, 3279, 267, 13280, 267, 14466, 7699, 1715, 19892, 267, 21125, 11866, 267, 20528, 267, 2558, 514, 21059, 543, 18578, 6210, 267, 543, 24063, 269, 769, 476, 3422, 276, 267, 10910, 3941, 807, 630, 852, 25472, 264, 10294, 922, 7115, 689, 519, 2136, 8003, 269, 1703, 267, 607, 538, 3162, 4000, 267, 16543, 6417, 519, 2229, 1256, 1498, 22391, 2190, 281, 17051, 1500, 909, 513, 5354, 540, 519, 2551, 269, 634, 2136, 8003, 1185, 15189, 547, 9886, 10910, 3941, 807, 7115, 2394, 17051, 941, 2016, 513, 3152, 5639, 538, 519, 2229, 269, 769, 476, 2735, 271, 267, 1310, 513, 1279, 6560, 585, 811, 1379, 267, 17051, 6591, 1852, 540, 519, 2229, 267, 543, 519, 2136, 8003, 6444, 10910, 3941, 807, 781, 7115, 269, 10910, 3941, 807, 781, 2012, 729, 4957, 547, 25472, 269, 13575, 267, 519, 3703, 7276, 729, 771, 7171, 539, 538, 606, 1931, 569, 1259, 269, 4107, 4830, 2477, 18423, 538, 519, 20448, 269, 3864, 9322, 269, 2755, 519, 2136, 8003, 729, 8840, 909, 922, 10504, 1282, 519, 2022, 8705, 1296, 267, 824, 6082, 540, 5375, 2342, 8678, 1927, 538, 1585, 3906, 547, 26595, 17215, 543, 20833, 269, 634, 2136, 8003, 729, 26997, 547, 6443, 873, 269, 10801, 1686, 267, 519, 2136, 8003, 1185, 9053, 547, 3251, 856, 540, 3864, 12602, 7721, 1061, 547, 1832, 519, 3666, 540, 1379, 538, 2342, 269, 1635, 11836, 519, 1007, 3906, 267, 519, 2136, 8003, 21787, 621, 1522, 6336, 930, 540, 922, 7115, 543, 5433, 621, 1131, 849, 581, 7432, 922, 1394, 593, 519, 20448, 269, 769, 519, 476, 4198, 271, 781, 267, 519, 2136, 8003, 15189, 547, 6443, 519, 3864, 15021, 543, 13082, 7991, 543, 519, 3864, 26994, 6052, 7991, 22391, 1839, 281, 630, 292, 584, 520, 558, 1040, 4107, 1271, 267, 621, 1705, 711, 6443, 519, 3864, 9483, 7991, 630, 292, 4488, 1040, 901, 7681, 267, 3006, 1572, 519, 3864, 5871, 10369, 267, 729, 1305, 909, 676, 5333, 543, 2947, 824, 6082, 269, 2991, 519, 661, 4488, 4951, 4191, 540, 8011, 532, 267, 519, 2136, 8003, 1305, 909, 519, 3864, 5131, 11780, 5948, 630, 9128, 14011, 264, 609, 3670, 824, 6082, 269, 1809, 661, 10499, 288, 729, 1152, 513, 7646, 1967, 267, 543, 519, 2136, 8003, 2663, 26845, 1540, 922, 30671, 547, 6443, 519, 661, 4488, 269, 769, 519, 1296, 1310, 2622, 2782, 4083, 267, 519, 2136, 8003, 781, 4914, 3609, 729, 5702, 24027, 609, 602, 540, 519, 2136, 2276, 269, 634, 2136, 8003, 8678, 519, 3345, 9533, 15521, 9257, 630, 2793, 15674, 9984, 320, 8878, 19710, 540, 3864, 543, 3345, 1977, 6082, 7146, 10692, 538, 519, 11114, 2782, 630, 4198, 271, 268, 4198, 274, 1040, 769, 5147, 476, 4198, 277, 267, 5527, 3084, 1242, 519, 590, 22222, 22575, 267, 799, 729, 11262, 5631, 676, 519, 3703, 543, 3943, 269, 769, 5239, 267, 5840, 22983, 5527, 267, 922, 10546, 269, 634, 2136, 8003, 543, 5333, 1287, 16091, 5527, 538, 606, 3801, 547, 1427, 820, 519, 12324, 269, 634, 3801, 1705, 711, 8011, 269, 16242, 689, 519, 2136, 2276, 267, 519, 8168, 5742, 267, 543, 519, 2136, 8315, 7142, 519, 2136, 8003, 267, 5333, 267, 543, 5840, 547, 11198, 689, 5527, 269, 22391, 2918, 281, 20271, 894, 2229, 1185, 8120, 547, 1379, 538, 476, 4198, 272, 896, 12736, 8725, 26235, 269, 634, 20271, 2510, 7608, 1034, 540, 519, 2242, 519, 23267, 9549, 1185, 1500, 269, 1635, 476, 4198, 276, 267, 32311, 532, 543, 1034, 824, 29053, 8060, 1185, 8694, 269, 12752, 729, 14762, 267, 6009, 941, 726, 550, 3814, 267, 543, 13848, 941, 1434, 269, 26235, 19622, 538, 476, 4198, 276, 267, 543, 11184, 20900, 3798, 523, 16309, 1864, 607, 6305, 14012, 269, 3798, 523, 759, 11220, 538, 476, 4198, 278, 269, 1261, 1185, 1044, 7494, 22309, 585, 1010, 3375, 602, 519, 2136, 8003, 1058, 6443, 5333, 538, 3843, 547, 28958, 519, 590, 22222, 22575, 538, 476, 4198, 277, 269, 29733, 5839, 17524, 534, 16309, 3798, 523, 269, 634, 3703, 4346, 4797, 547, 4228, 2394, 519, 2038, 476, 3422, 271, 781, 269, 670, 14563, 547, 2087, 519, 4346, 267, 519, 2136, 8003, 4294, 585, 15376, 538, 519, 3864, 9483, 7991, 269, 1635, 11836, 519, 661, 4488, 267, 5839, 17524, 534, 12479, 519, 2136, 8003, 1131, 581, 2111, 547, 4228, 922, 13143, 4123, 269, 1809, 538, 5130, 476, 3422, 274, 267, 519, 2136, 8003, 781, 3498, 729, 15653, 267, 7361, 1317, 540, 11685, 689, 3943, 5518, 8176, 632, 717, 4954, 548, 269, 634, 18349, 729, 513, 14710, 585, 5839, 17524, 534, 269, 2334, 1032, 267, 519, 2229, 729, 695, 2586, 676, 513, 29317, 5473, 519, 23122, 585, 2112, 269, 634, 476, 3422, 275, 9550, 22391, 2767, 281, 4547, 519, 23267, 9549, 1394, 547, 1379, 896, 29733, 14355, 269, 14355, 5185, 20387, 2804, 2042, 269, 634, 2136, 8003, 729, 1104, 532, 2484, 811, 5370, 982, 621, 729, 13143, 532, 267, 543, 922, 4853, 2208, 2557, 729, 1932, 3500, 269, 634, 2136, 8003, 781, 2883, 14425, 695, 17213, 267, 543, 519, 4182, 1185, 547, 10210, 811, 543, 811, 2724, 689, 824, 2477, 543, 3486, 8041, 269, 769, 476, 3422, 277, 267, 519, 2229, 3459, 606, 513, 13831, 640, 1982, 676, 9870, 9204, 543, 8380, 513, 18109, 593, 13848, 543, 5777, 269, 634, 661, 4488, 267, 519, 3864, 15021, 543, 13082, 7991, 267, 543, 20195, 520, 558, 24673, 741, 10324, 8041, 538, 476, 3422, 278, 543, 2968, 1634, 607, 519, 3864, 7991, 630, 4488, 1040, 2334, 1032, 267, 519, 2136, 8003, 729, 1586, 15653, 585, 15376, 538, 519, 10566, 269, 634, 2229, 1821, 2728, 539, 519, 11013, 538, 3210, 547, 519, 3978, 2804, 3510, 269, 769, 519, 476, 3192, 271, 12836, 267, 519, 20271, 894, 9549, 1036, 7134, 1852, 540, 519, 2229, 269, 11977, 1261, 987, 2968, 6305, 14012, 269, 769, 476, 3192, 272, 267, 6876, 729, 6603, 593, 2474, 585, 519, 2136, 8003, 781, 7127, 883, 519, 10566, 269, 634, 2136, 8003, 8678, 519, 10566, 538, 476, 3192, 274, 269, 1809, 11173, 10637, 267, 4492, 22520, 267, 16716, 267, 543, 824, 6927, 3361, 3978, 2042, 585, 519, 22391, 2764, 281, 2229, 269, 5082, 687, 538, 476, 3192, 275, 4547, 519, 23267, 9549, 1394, 547, 1379, 267, 543, 29733, 14355, 1586, 2968, 6305, 14012, 269, 14355, 19622, 538, 476, 3192, 277, 269, 6276, 11910, 698, 7315, 16309, 1864, 607, 6305, 14012, 543, 23267, 9549, 6205, 269, 7043, 29280, 7526, 1063, 23597, 543, 14308, 1218, 538, 8832, 8581, 2968, 513, 3978, 1966, 585, 519, 2136, 8003, 1282, 519, 3735, 476, 3422, 271, 781, 543, 519, 476, 3192, 271, 781, 269, 769, 476, 3422, 280, 267, 519, 2136, 8003, 3459, 11488, 10136, 547, 8832, 8581, 547, 2119, 547, 3247, 27632, 1824, 972, 269, 1809, 519, 5208, 4797, 269, 634, 18633, 3510, 3361, 513, 3126, 540, 2797, 16839, 538, 8832, 8581, 1282, 519, 476, 3192, 271, 781, 269, 634, 2136, 8003, 3964, 1463, 4341, 936, 519, 2197, 267, 1247, 8942, 941, 1500, 547, 1106, 513, 7123, 2229, 538, 799, 23597, 543, 14308, 1218, 3838, 1379, 269, 3509, 1004, 538, 10430, 543, 930, 538, 12986, 18796, 2347, 7115, 689, 519, 2136, 8003, 269, 3509, 1866, 5156, 10430, 543, 12986, 1058, 723, 741, 1378, 9777, 2137, 269, 12846, 1866, 23163, 1100, 2242, 538, 519, 1894, 1063, 10430, 543, 12986, 543, 519, 1964, 540, 519, 2136, 8003, 269, 769, 476, 3192, 280, 267, 519, 3703, 2229, 4847, 519, 1004, 540, 10430, 543, 12986, 547, 8917, 593, 519, 2243, 540, 22391, 3066, 281, 2436, 789, 1058, 723, 741, 1378, 9777, 2137, 269, 634, 17037, 538, 1312, 2127, 8959, 547, 29343, 519, 10661, 540, 519, 9777, 2137, 269, 2334, 7815, 269, 5082, 687, 538, 476, 3192, 280, 8120, 519, 20271, 2510, 547, 1379, 269, 20271, 894, 9549, 6205, 20152, 2334, 7815, 8719, 11910, 698, 7315, 607, 6305, 14012, 269, 2701, 2968, 519, 1101, 4807, 2479, 547, 3180, 519, 5604, 269, 2701, 6039, 607, 6305, 14012, 585, 519, 1985, 476, 9340, 270, 273, 1296, 267, 3476, 982, 1022, 824, 1268, 538, 519, 476, 5002, 271, 781, 269, 1306, 6305, 14012, 267, 2334, 7815, 5249, 547, 2569, 2229, 9525, 538, 519, 4346, 269, 1280, 1383, 267, 519, 2229, 4421, 922, 4690, 538, 1082, 6080, 547, 4357, 4961, 543, 4213, 269, 898, 849, 4421, 5215, 540, 1857, 268, 8027, 4559, 547, 741, 4557, 1218, 267, 5009, 1753, 9562, 269, 769, 1840, 267, 1463, 9204, 941, 4389, 269, 769, 476, 2735, 273, 267, 2334, 7815, 4465, 17192, 585, 1200, 23801, 7829, 540, 513, 4655, 609, 18335, 269, 4595, 476, 8146, 274, 267, 519, 2136, 8003, 814, 12199, 519, 674, 1779, 1633, 11866, 267, 799, 9114, 827, 476, 17168, 5195, 630, 276, 1428, 12919, 264, 7532, 540, 519, 7013, 5032, 540, 18335, 269, 1809, 18335, 814, 1279, 10645, 9562, 540, 519, 10195, 269, 769, 4989, 476, 2735, 273, 267, 14861, 710, 10136, 22983, 543, 13026, 519, 22391, 1789, 281, 674, 1779, 4133, 269, 634, 2136, 8003, 1287, 2366, 10136, 267, 9635, 267, 543, 14742, 269, 3703, 543, 14861, 710, 4229, 10692, 2011, 267, 4262, 267, 543, 2244, 12959, 585, 1852, 540, 519, 10195, 269, 634, 14861, 710, 4229, 1147, 16781, 1229, 547, 519, 2136, 8003, 538, 4873, 476, 2735, 273, 269, 769, 476, 2735, 276, 267, 2334, 7815, 543, 11788, 10579, 12275, 4958, 23575, 294, 14283, 540, 8581, 9896, 519, 17454, 16927, 16194, 15716, 267, 606, 6876, 602, 3964, 606, 28007, 10554, 585, 8832, 8581, 269, 634, 10554, 267, 9967, 540, 8387, 540, 519, 2136, 8003, 543, 8581, 267, 5795, 8581, 606, 28007, 1909, 538, 8832, 8581, 781, 2229, 269, 1635, 519, 4571, 268, 2735, 271, 781, 267, 519, 2136, 8003, 781, 7607, 1185, 4824, 267, 855, 13864, 267, 10637, 267, 543, 824, 2804, 2042, 4797, 269, 4438, 519, 3735, 476, 2735, 271, 781, 267, 13864, 17379, 267, 855, 10637, 3459, 547, 4473, 269, 10003, 338, 267, 10506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 8955, 2029, 267, 13745, 609, 3395, 6284, 540, 519, 2956, 540, 5711, 1606, 2448, 545, 1072, 4296, 267, 1305, 519, 3942, 585, 519, 1646, 540, 8955, 29374, 27731, 11257, 780, 7656, 269, 14362, 540, 21558, 5025, 1087, 13554, 11270, 7267, 10657, 692, 288, 269, 8564, 633, 28080, 7566, 540, 11202, 11077, 692, 3080, 540, 519, 3119, 5383, 540, 8955, 29374, 27731, 3797, 568, 922, 2702, 547, 4481, 3077, 5739, 9190, 2249, 3743, 585, 27731, 2068, 1247, 6028, 2635, 5160, 796, 2675, 520, 1117, 269, 901, 6098, 1935, 6971, 32097, 3441, 2404, 609, 6671, 5574, 543, 16881, 5488, 6051, 2053, 780, 289, 269, 4437, 739, 574, 1637, 543, 23046, 8871, 10056, 692, 1103, 1840, 547, 741, 21734, 3601, 267, 22795, 666, 849, 12954, 10408, 6114, 602, 3895, 7067, 543, 20344, 540, 8697, 8031, 269, 901, 12242, 10342, 1107, 1312, 14874, 3968, 543, 5807, 7816, 1107, 2306, 331, 6471, 29374, 27731, 3797, 513, 3532, 1907, 538, 8396, 1154, 1974, 2632, 4345, 780, 4353, 269, 25895, 21992, 906, 538, 21558, 5025, 1087, 13554, 11270, 7267, 10657, 692, 288, 269, 9537, 540, 20098, 619, 13242, 538, 11270, 7267, 10657, 692, 2467, 616, 1896, 2010, 540, 22795, 6964, 538, 27731, 3797, 267, 1519, 26534, 22795, 267, 715, 323, 281, 312, 8980, 630, 928, 1328, 26606, 1673, 25660, 586, 1777, 8922, 11956, 6095, 6339, 264, 22795, 267, 543, 8210, 281, 312, 8980, 630, 8538, 1756, 1673, 25660, 586, 1777, 8922, 11956, 6095, 6339, 264, 22795, 269, 3962, 19299, 2189, 4162, 602, 1118, 873, 5078, 585, 1808, 3156, 1369, 27731, 2126, 780, 289, 269, 10765, 3763, 906, 543, 11627, 725, 692, 13146, 10124, 538, 8955, 2029, 723, 3366, 547, 519, 5137, 540, 3457, 5827, 540, 12419, 10502, 26215, 730, 13121, 1137, 540, 1648, 267, 2417, 7393, 519, 12117, 543, 3106, 540, 8955, 29374, 27731, 3797, 269, 3958, 267, 3173, 3136, 547, 2263, 3209, 2081, 540, 9001, 22795, 538, 14966, 609, 824, 9354, 23857, 267, 971, 607, 2584, 17871, 3797, 543, 6565, 1591, 2861, 27532, 2994, 780, 309, 269, 8177, 540, 6925, 593, 21558, 5025, 1087, 13554, 11270, 7267, 10657, 692, 288, 269, 3955, 13694, 21664, 692, 30655, 894, 3646, 1063, 2564, 4648, 543, 5959, 12665, 723, 5129, 513, 2629, 1909, 538, 14027, 938, 1620, 540, 519, 5817, 6127, 12044, 8955, 29374, 27731, 3797, 269, 1635, 7535, 532, 2200, 543, 6791, 267, 3173, 689, 3309, 10080, 616, 1732, 9280, 547, 10994, 1950, 2591, 543, 5397, 5647, 538, 713, 6385, 9687, 2361, 780, 289, 269, 25927, 1049, 3194, 692, 9558, 331, 1049, 1382, 1107, 799, 11394, 547, 8115, 519, 7934, 1063, 4909, 8906, 543, 4791, 3156, 1107, 814, 1044, 15747, 538, 8744, 8955, 29374, 27731, 11257, 689, 14541, 547, 5127, 2515, 269, 3414, 11826, 840, 30570, 4152, 543, 1134, 27059, 4791, 8062, 267, 1007, 5574, 666, 581, 18928, 11117, 585, 3106, 267, 7145, 267, 543, 1942, 3887, 11797, 1354, 1373, 7471, 883, 6296, 5959, 2259, 780, 9654, 269, 10390, 692, 2026, 5711, 3782, 5170, 547, 9784, 606, 15834, 2203, 602, 11363, 5698, 1063, 4915, 543, 25185, 267, 5499, 4485, 899, 8955, 29374, 27731, 3797, 786, 17216, 1404, 513, 3844, 1909, 538, 5935, 519, 2104, 540, 3461, 1416, 269, 1306, 649, 11441, 547, 5838, 6099, 4093, 585, 1346, 7092, 689, 27731, 3676, 267, 621, 568, 1651, 3518, 550, 2390, 721, 607, 7855, 267, 19353, 267, 543, 3173, 547, 3251, 32448, 540, 6932, 3466, 543, 3565, 547, 519, 5571, 5188, 4478, 891, 3078, 8441, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 1537, 1072, 1416, 814, 22734, 513, 7415, 4720, 267, 609, 2757, 2853, 4758, 1259, 547, 513, 811, 3102, 543, 15834, 1935, 269, 2290, 540, 519, 1883, 20334, 547, 713, 4838, 568, 519, 5610, 540, 4915, 883, 2413, 5959, 1416, 899, 875, 3220, 269, 19257, 3534, 2052, 8364, 1935, 1142, 3461, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 3140, 5133, 267, 10319, 3646, 267, 6639, 7760, 267, 543, 519, 1764, 540, 4915, 593, 1585, 3344, 540, 5711, 1072, 563, 25565, 5959, 2853, 941, 1419, 3908, 547, 10868, 543, 2596, 5711, 9882, 269, 1717, 267, 519, 11944, 540, 2413, 25185, 4547, 827, 1713, 2242, 267, 6220, 3621, 3741, 543, 4359, 2553, 269, 901, 6521, 9788, 519, 5748, 585, 5698, 1063, 4915, 543, 25185, 563, 763, 15774, 5610, 540, 4915, 543, 25185, 568, 13321, 3461, 1416, 269, 634, 2640, 540, 10319, 1416, 1331, 513, 811, 3102, 1620, 540, 2550, 685, 2949, 1072, 267, 3056, 547, 4824, 2126, 522, 340, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 6471, 5025, 1087, 13554, 11270, 7267, 10657, 257, 607, 851, 540, 834, 25503, 1315, 19239, 3588, 1315, 11270, 2632, 923, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 13760, 12339, 21442, 21126, 538, 17235, 267, 5980, 267, 543, 9177, 692, 3721, 476, 272, 281, 6258, 6168, 519, 5081, 1670, 28636, 540, 17235, 454, 9359, 676, 1620, 519, 3119, 6436, 540, 25349, 543, 824, 1514, 6436, 540, 6760, 269, 1452, 6436, 1331, 1585, 5380, 971, 607, 6198, 1143, 267, 1514, 4655, 267, 543, 5872, 1143, 269, 3962, 3069, 814, 922, 1378, 1305, 540, 10054, 3823, 6760, 1757, 566, 543, 6848, 6114, 547, 7803, 2623, 269, 1280, 3236, 267, 6198, 1235, 2070, 6760, 607, 513, 1106, 540, 1821, 4800, 2556, 585, 4509, 6617, 538, 2486, 267, 1247, 1514, 4655, 28466, 1294, 621, 607, 513, 1267, 540, 1379, 20817, 1063, 1114, 2516, 269, 19983, 1235, 11168, 519, 1909, 540, 21458, 543, 1514, 6547, 538, 10747, 6760, 780, 7659, 17785, 281, 2142, 3222, 540, 519, 3140, 543, 2686, 8658, 540, 891, 6436, 267, 607, 789, 3310, 741, 1646, 543, 3498, 780, 3721, 476, 273, 281, 25506, 6206, 12339, 21442, 634, 528, 1235, 543, 23105, 28636, 454, 26368, 1713, 15594, 5640, 945, 8329, 547, 6309, 514, 1670, 2219, 269, 2368, 8037, 5515, 616, 1384, 265, 10906, 853, 1678, 334, 454, 265, 2405, 320, 27991, 2284, 6441, 785, 454, 265, 25845, 1261, 16582, 810, 18255, 454, 265, 22186, 22220, 667, 3315, 692, 4322, 17024, 2919, 1898, 2035, 899, 1384, 265, 24686, 1105, 531, 7869, 1107, 13187, 602, 5256, 17282, 10419, 340, 919, 4008, 8635, 3056, 547, 2362, 4775, 6408, 1436, 3928, 454, 265, 9484, 26147, 1975, 12742, 8211, 1108, 1107, 733, 1742, 602, 2367, 543, 2021, 19582, 3982, 26441, 630, 21504, 5288, 269, 4357, 264, 4611, 538, 11186, 2126, 540, 9038, 543, 8951, 538, 519, 3656, 1062, 454, 265, 5776, 4812, 12339, 24452, 1107, 29102, 602, 12790, 2043, 2709, 2189, 4030, 883, 519, 25029, 540, 1949, 540, 15746, 267, 971, 607, 13348, 8944, 692, 3721, 476, 274, 281, 14146, 12339, 21442, 21126, 538, 3194, 543, 11310, 13870, 454, 22860, 2763, 6760, 543, 5126, 2152, 1210, 15594, 4485, 269, 901, 3322, 6236, 2188, 899, 4008, 267, 3023, 267, 543, 1379, 6384, 950, 16208, 1239, 610, 3384, 19165, 269, 1635, 6220, 15594, 2093, 267, 3173, 666, 4161, 2757, 12886, 543, 3565, 547, 811, 8537, 24300, 540, 6760, 780, 28223, 281, 1879, 10647, 1382, 267, 2327, 707, 2409, 543, 10386, 2553, 2272, 585, 1761, 4008, 13103, 269, 3958, 267, 9691, 6218, 2959, 547, 2697, 2009, 17697, 12886, 7133, 8753, 6537, 827, 6760, 543, 5126, 6927, 780, 3721, 476, 275, 281, 25826, 1215, 12339, 21442, 28636, 2052, 2142, 11930, 547, 4317, 3194, 593, 17235, 454, 7343, 569, 15594, 6309, 514, 1670, 6436, 547, 4540, 2090, 610, 2932, 3312, 1382, 2519, 593, 896, 13231, 1221, 3344, 540, 6760, 5473, 4008, 267, 14920, 267, 610, 28622, 269, 31385, 2127, 1141, 1699, 3332, 949, 26777, 2565, 7516, 1813, 547, 543, 549, 1417, 878, 10054, 610, 3668, 540, 6041, 780, 7078, 281, 21302, 7128, 5359, 610, 5480, 6054, 7282, 6469, 5208, 13685, 998, 513, 15594, 7828, 269, 10576, 3270, 11021, 575, 25311, 12496, 540, 9601, 262, 2833, 543, 4983, 2436, 1876, 11268, 8041, 1521, 5256, 543, 4775, 25476, 8335, 780, 3721, 476, 276, 281, 7600, 1227, 21302, 5871, 853, 699, 8040, 13565, 547, 17235, 267, 5980, 267, 543, 9177, 454, 8269, 937, 2390, 4922, 4371, 4978, 4478, 6760, 267, 3226, 1346, 6766, 676, 4008, 5107, 543, 6788, 269, 7726, 2442, 6386, 827, 4775, 6309, 514, 1275, 1373, 4686, 610, 1447, 4049, 982, 5256, 13413, 269, 7420, 11475, 16046, 1978, 2010, 540, 10963, 609, 1808, 22097, 1759, 593, 5198, 267, 1362, 267, 610, 14940, 780, 3528, 2502, 609, 891, 3268, 267, 596, 786, 15052, 707, 8223, 540, 15594, 6309, 11659, 543, 922, 10083, 547, 6626, 5717, 1472, 6760, 267, 2486, 267, 543, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15152, 12392, 1923, 16998, 293, 4211, 290, 297, 21709, 1923, 476, 1708, 275, 454, 24979, 830, 267, 5980, 543, 9177, 454, 17345, 1344, 585, 476, 1708, 275, 6981, 8698, 1344, 585, 476, 1708, 274, 1576, 6981, 454, 268, 5530, 1505, 454, 268, 476, 1911, 260, 2228, 454, 268, 476, 1911, 260, 2228, 454, 268, 3399, 7389, 454, 268, 476, 2918, 4924, 476, 1708, 275, 2676, 268, 476, 2918, 4119, 476, 1708, 275, 2676, 268, 7348, 476, 1708, 274, 7389, 454, 268, 28678, 4170, 454, 268, 13405, 1353, 2877, 454, 268, 476, 1724, 4374, 454, 4047, 5425, 29803, 543, 674, 7417, 29803, 2139, 454, 24979, 830, 267, 5980, 543, 9177, 454, 10666, 713, 1641, 454, 5475, 6707, 11264, 713, 1641, 596, 1058, 581, 2111, 547, 912, 268, 23227, 622, 23440, 609, 543, 1702, 540, 519, 3119, 6436, 540, 25349, 543, 824, 1514, 6436, 540, 6760, 1519, 519, 2596, 10054, 540, 891, 6436, 267, 1883, 28466, 543, 2404, 6436, 267, 543, 519, 8739, 3620, 626, 5566, 2796, 540, 891, 6436, 454, 268, 11512, 543, 2308, 25349, 543, 1514, 1606, 2615, 881, 5380, 593, 1382, 543, 1702, 2504, 1644, 547, 6760, 543, 5126, 267, 1519, 6198, 626, 267, 1514, 4655, 267, 543, 5872, 626, 5380, 454, 268, 15233, 6309, 514, 1670, 6436, 547, 1514, 1382, 593, 6760, 454, 268, 7600, 1227, 20272, 834, 21720, 694, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 293, 655, 21442, 595, 3234, 11659, 257, 607, 851, 540, 834, 24719, 13316, 1315, 595, 3234, 11659, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 1488, 573, 8092, 17164, 566, 281, 589, 14265, 1017, 3281, 9426, 540, 19164, 23270, 338, 692, 296, 269, 4985, 692, 763, 1353, 540, 25545, 2244, 10664, 568, 1898, 547, 1620, 9390, 8134, 267, 799, 3382, 5111, 835, 21017, 540, 519, 3047, 781, 2627, 269, 1452, 27763, 8916, 616, 6353, 676, 1970, 11811, 267, 1164, 5210, 267, 543, 2189, 2030, 1272, 9862, 547, 7639, 896, 3665, 2175, 269, 901, 1770, 786, 5490, 883, 519, 14960, 540, 25545, 2244, 10664, 267, 922, 1909, 538, 9390, 8134, 267, 3140, 5380, 267, 543, 4207, 2152, 780, 2862, 269, 8466, 5133, 593, 5883, 25545, 2244, 10664, 692, 288, 269, 8177, 540, 1480, 9194, 593, 25545, 2244, 10664, 454, 272, 269, 634, 12625, 540, 24272, 22057, 812, 538, 3345, 3013, 20427, 4957, 519, 5065, 2030, 12845, 2711, 2950, 267, 27200, 741, 12105, 24551, 563, 273, 269, 12815, 2621, 2709, 3407, 4030, 883, 875, 3425, 723, 6766, 25545, 2244, 10664, 267, 3850, 721, 547, 1118, 5483, 3664, 827, 2104, 2359, 2994, 563, 274, 269, 7087, 9082, 5129 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1858, 540, 476, 272, 267, 28794, 267, 271, 4281, 688, 543, 12851, 6915, 613, 25140, 547, 519, 5493, 792, 8157, 16004, 517, 655, 7394, 11662, 267, 8204, 922, 9381, 543, 1202, 983, 5054, 269, 634, 8273, 10195, 616, 15223, 732, 2742, 320, 267, 19743, 1756, 12711, 267, 15719, 340, 543, 966, 768, 19561, 269, 14755, 891, 10195, 267, 972, 616, 930, 7366, 540, 4130, 568, 7410, 269, 634, 20648, 2494, 543, 519, 4437, 14459, 19510, 630, 300, 5723, 264, 23083, 606, 15834, 1382, 16786, 543, 4390, 2679, 17935, 547, 2087, 519, 2078, 540, 1004, 609, 741, 1604, 11451, 269, 5487, 684, 3481, 538, 519, 2038, 476, 3192, 271, 338, 267, 621, 16113, 9072, 519, 8733, 267, 1514, 543, 2804, 7516, 540, 9265, 2530, 543, 519, 5786, 540, 713, 2530, 269, 898, 3096, 922, 1158, 3060, 540, 1979, 14459, 14425, 607, 6472, 585, 1702, 4687, 267, 1382, 543, 5464, 267, 2069, 543, 2866, 267, 543, 29355, 3375, 6194, 269, 901, 960, 568, 1071, 268, 867, 3990, 676, 2199, 18013, 1927, 609, 22257, 543, 18513, 14540, 563, 27001, 476, 1960, 271, 268, 1220, 273, 2199, 18013, 11478, 593, 1614, 6480, 20897, 10195, 543, 519, 835, 585, 19743, 1756, 12711, 538, 1880, 5645, 856, 513, 7415, 2179, 540, 960, 2390, 4264, 1646, 3785, 267, 2825, 2069, 267, 13629, 543, 1382, 269, 1717, 267, 11558, 10838, 519, 18013, 5828, 856, 547, 581, 13385, 543, 513, 2312, 4640, 585, 519, 3003, 1979, 14459, 15395, 729, 7508, 269, 769, 476, 1220, 273, 519, 12080, 540, 5113, 4956, 547, 23271, 519, 2199, 18013, 543, 547, 4483, 1979, 14459, 15395, 2359, 547, 835, 15726, 302, 5748, 269, 901, 15139, 5314, 9863, 547, 581, 7357, 4831, 335, 8793, 607, 1510, 6190, 22257, 7616, 267, 15569, 543, 3621, 1489, 267, 1022, 1106, 540, 11455, 2359, 585, 519, 1979, 14459, 15395, 3533, 26632, 730, 269, 898, 568, 849, 5921, 602, 1034, 540, 519, 3407, 543, 942, 21791, 2048, 321, 18847, 909, 685, 2146, 543, 7471, 1646, 960, 17298, 676, 519, 2199, 8998, 593, 19743, 1756, 12711, 936, 513, 8717, 729, 4503, 543, 1223, 711, 581, 5413, 3585, 3710, 2390, 563, 305, 340, 889, 523, 5403, 267, 519, 1454, 15197, 543, 1631, 8909, 569, 21549, 5449, 5883, 8689, 540, 519, 19743, 1756, 12711, 1979, 14459, 15395, 8998, 267, 5206, 606, 16367, 2376, 538, 476, 1220, 274, 13886, 2048, 295, 5200, 689, 2696, 543, 5899, 13377, 9957, 4746, 5227, 568, 519, 1433, 2048, 298, 2129, 339, 636, 7371, 320, 1731, 685, 630, 9288, 7566, 264, 12995, 676, 1010, 26393, 1677, 5557, 918, 758, 990, 7219, 945, 1631, 21314, 1488, 1222, 11253, 698, 630, 5408, 1985, 3296, 1040, 901, 8313, 26564, 519, 19743, 1756, 12711, 1995, 6591, 689, 519, 4639, 6480, 8205, 5246, 28396, 4437, 14459, 15944, 476, 1960, 271, 268, 1220, 274, 543, 2488, 606, 7650, 827, 1866, 689, 1472, 2342, 563, 18204, 3603, 4886, 12020, 454, 6635, 1222, 11253, 698, 568, 513, 1875, 17416, 1382, 543, 1646, 13539, 4171, 3483, 568, 547, 6536, 513, 4264, 1259, 540, 1272, 593, 519, 5032, 543, 10195, 269, 4595, 621, 729, 8547, 538, 476, 1960, 278, 267, 1488, 1222, 11253, 698, 814, 1044, 3238, 538, 606, 1858, 602, 18953, 519, 6302, 540, 2470, 5726, 267, 2528, 543, 6917, 4346, 269, 898, 11099, 602, 513, 2973, 1604, 568, 606, 538, 29323, 762, 851, 540, 1272, 2298, 281, 602, 812, 666, 12492, 513, 7059, 2078, 609, 2470, 282, 602, 513, 1164, 2298, 2199, 1587, 568, 9120, 547, 562, 600, 6804, 2527, 2504, 282, 543, 602, 519, 5032, 568, 938, 1455, 14951, 563, 1103, 922, 960, 1488, 1222, 11253, 698, 568, 11461, 676, 519, 3741, 540, 20648, 631, 5723, 543, 519, 1034, 1271, 4745, 1382, 10872, 789, 15548, 538, 729, 519, 966, 664, 15330, 328, 1788, 16046, 6917, 1272, 543, 9381, 2470, 269, 634, 1463, 8144, 540, 966, 664, 15330, 328, 568, 968, 1492, 4262, 540, 2269, 1080, 5608, 513, 10859, 10276, 743, 2216, 9381, 1858, 540, 827, 476, 1220, 271, 13483, 5998, 11303, 676, 519, 6480, 20897, 22163, 543, 519, 10195, 540, 15223, 732, 2742, 320, 267, 19743, 1756, 12711, 267, 966, 768, 19561, 543, 15719, 340, 269, 1280, 513, 5758, 6609, 543, 547, 4647, 519, 2407, 1788, 543, 2930, 5359, 607, 1134, 607, 1569, 547, 824, 12326, 267, 6337, 543, 8874, 3643, 891, 1357, 335, 1137, 269, 13677, 7849, 11595, 849, 8359, 966, 664, 15330, 328, 607, 835, 540, 741, 2013, 2090, 547, 948, 1217, 741, 3206, 593, 9381, 543, 7286, 3084, 11614, 563, 763, 966, 664, 15330, 328, 1788, 1631, 12523, 811, 982, 476, 273, 267, 1822, 14132, 12418, 543, 476, 736, 267, 1822, 25614, 540, 10859, 5991, 1823, 31922, 543, 1488, 1222, 11253, 698, 5170, 547, 3895, 713, 6923, 1178, 7458, 5779, 269, 898, 6035, 513, 2470, 7888, 3434, 2044, 4487, 5035, 609, 835, 540, 519, 2197, 779, 1283, 22730, 693, 519, 4563, 715, 2074, 17912, 16635, 4371, 693, 918, 731, 5055, 538, 5412, 476, 1220, 279, 269, 769, 5147, 476, 1220, 280, 789, 22555, 519, 6153, 6052, 16635, 1141, 606, 3063, 341, 12298, 5633, 540, 2199, 1426, 267, 2575, 543, 16222, 729, 2139, 1369, 543, 1472, 519, 2025, 1379, 2030, 538, 918, 731, 5055, 563, 8448, 2101, 15961, 1488, 1222, 11253, 698, 723, 1185, 513, 1463, 9525, 609, 616, 661, 12702, 3201, 585, 7311, 3631, 540, 7658, 1740, 543, 8465, 960, 12417, 593, 519, 10195, 543, 15672, 9381, 2127, 540, 6480, 8205, 543, 11076, 9596, 799, 729, 513, 19180, 2866, 10189, 593, 21091, 26066, 18630, 5004, 563, 299, 807, 25347, 6199, 543, 1677, 5557, 918, 758, 990, 7219, 267, 1488, 1222, 11253, 698, 454, 3725, 564, 918, 758, 990, 7219, 267, 15445, 15440, 267, 19845, 4696, 2207, 10872, 454, 288, 16343, 918, 686, 529, 6390, 267, 15445, 15440, 267, 6789, 11162, 12537, 454, 288, 4275, 570, 1601, 267, 17348, 17367, 19743, 1756, 12711, 17721, 11206, 5980, 454, 307, 340, 25625, 570, 2459, 5055, 267, 5449, 5741, 15440, 267, 918, 641, 340, 700, 9281, 292, 5991, 1155, 1788, 454, 305, 328, 2088, 700, 4068, 2742, 324, 267, 5113, 10837, 454, 307, 517, 340, 918, 2194, 324, 514, 267, 16027, 538, 966, 664, 15330, 328, 1788, 0, 763, 30975, 609, 32664, 1145, 5494, 6847, 543, 26225, 9177, 454, 4517, 3205, 267, 3794, 3317, 543, 14332, 324, 267, 7671, 15301, 1220, 272, 264, 32641, 1369, 519, 32664, 7991, 538, 4858, 1375, 267, 10753, 529, 630, 10955, 4700, 32664, 2622, 281, 589, 8466, 24153, 543, 12729, 11905, 1504, 269, 476, 25134, 268, 28143, 269, 1715, 3840, 281, 1715, 3840, 2160, 4964, 563, 290, 1251, 518, 267, 631, 1515, 1014, 630, 1960, 279, 264, 32664, 543, 2598, 12574, 267, 610, 32664, 1145, 2598, 12574, 286, 2826, 338, 565, 267, 26838, 281, 7046, 2160, 4964, 563, 291, 656, 267, 570, 269, 1299, 27068, 590, 269, 630, 1960, 272, 264, 634, 4317, 14716, 540, 32664, 1145, 267, 538, 7046, 2160, 630, 32295, 264, 12983, 538, 32664, 1145, 29859, 3223, 29498, 267, 26838, 2433, 15411, 2160, 4964, 563, 291, 32713, 267, 31143, 731, 269, 630, 1220, 273, 264, 645, 2056, 936, 23651, 281, 26225, 267, 667, 1143, 617, 1716, 1143, 1299, 4033, 5262, 2159, 30142, 1431, 269, 1715, 3840, 281, 1715, 3840, 2160, 4964, 563, 18128, 753, 267, 18496, 543, 674, 1779, 5261, 630, 2735, 277, 264, 4804, 547, 581, 32664, 269, 12670, 281, 631, 719, 517, 632, 22630, 614, 563, 293, 710, 267, 18466, 548, 543, 1306, 577, 267, 1520, 686, 26413, 630, 32295, 264, 630, 2735, 279, 264, 6468, 609, 24894, 281, 10749, 538, 10017, 267, 9177, 543, 15348, 269, 15740, 281, 13527, 2160, 4964, 563, 293, 8803, 267, 19626, 630, 1960, 277, 264, 968, 11514, 1464, 540, 16338, 286, 32664, 1145, 607, 513, 8865, 7151, 1848, 7433, 3465, 5034, 693, 5980, 585, 26225, 5525, 267, 6115, 267, 667, 269, 595, 563, 294, 5585, 2006, 267, 29484, 630, 2735, 277, 264, 834, 24292, 14740, 32664, 1145, 543, 10076, 2657, 257, 4750, 540, 519, 1977, 32664, 1145, 543, 29407, 5948, 630, 736, 264, 476, 272, 268, 1015, 563, 297, 28427, 267, 681, 1421, 700, 1342, 749, 590, 269, 543, 8210, 1154, 595, 269, 630, 2735, 280, 264, 11829, 7596, 564, 3194, 4659, 11554, 4574, 476, 8660, 268, 274, 1133, 24286, 519, 15099, 281, 14362, 585, 8236, 1569, 538, 18555, 2069, 269, 6115, 267, 9823, 281, 11829, 7596, 564, 2160, 4964, 563, 299, 2033, 267, 670, 269, 630, 1960, 273, 264, 634, 631, 2532, 540, 645, 2940, 14179, 775, 281, 2598, 29058, 519, 32664, 7991, 269, 1715, 3840, 267, 21238, 12928, 641, 325, 563, 299, 2033, 267, 4498, 17427, 630, 1960, 276, 264, 968, 17746, 15297, 540, 32664, 1145, 1848, 26225, 1299, 5980, 261, 630, 1015, 264, 3143, 476, 273, 1496, 14378, 268, 5002, 563, 299, 2033, 267, 670, 1421, 32129, 1889, 3563, 267, 681, 1421, 543, 5484, 15840, 534, 630, 1960, 277, 264, 589, 17714, 883, 519, 667, 12788, 293, 8862, 3036, 17162, 269, 5842, 17630, 281, 667, 11921, 6178, 4964, 563, 16524, 3467, 267, 6754, 630, 1220, 274, 264, 4208, 594, 22210, 539, 3733, 3883, 543, 4033, 10749, 593, 26225, 269, 13527, 2160, 4964, 267, 15740, 563, 21790, 612, 267, 17555, 630, 1220, 271, 264, 7335, 9737, 519, 20050, 3955, 322, 8590, 9442, 585, 6178, 5678, 3955, 2181, 1562, 269, 3955, 322, 8590, 4964, 267, 962, 1301, 1926, 267, 19051, 563, 27770, 648, 267, 15623, 590, 269, 543, 27692, 2274, 10903, 534, 609, 513, 2062, 5320, 676, 4498, 17427, 28818, 267, 476, 1960, 274, 269, 476, 273, 526, 9990, 1280, 24651, 4658, 8307, 29157, 3122, 12924, 281, 32664, 5020, 4964, 563, 303, 5417, 523, 543, 9966, 874, 1845, 267, 630, 2735, 279, 264, 32664, 538, 3013, 966, 7860, 689, 589, 9177, 11062, 267, 8575, 281, 10228, 2160, 4964, 563, 3725, 12298, 267, 570, 269, 630, 1960, 271, 264, 8836, 19047, 538, 519, 4065, 540, 32664, 5753, 538, 28927, 3298, 268, 7775, 331, 753, 543, 7720, 2803, 267, 667, 269, 630, 32295, 264, 4065, 543, 25833, 31834, 540, 32664, 1145, 269, 6115, 267, 667, 5861, 12727, 11829, 7596, 564, 2160, 4964, 563, 305, 4141, 615, 4659, 630, 1960, 277, 264, 26225, 267, 7991, 543, 5980, 281, 10289, 519, 25103, 269, 3345, 3840, 267, 14411, 281, 681, 4141, 615, 4659, 563, 305, 340, 714, 267, 623, 269, 630, 2735, 279, 264, 968, 289, 13308, 1143, 543, 19636, 2069, 538, 519, 2475, 2223, 538, 595, 269, 645, 269, 6754, 8725, 630, 10955, 4700, 4139, 18361, 540, 645, 13308, 1143, 543, 19636, 2069, 267, 476, 276, 4375, 268, 28794, 1715, 3840, 281, 5682, 6229, 4964, 563, 306, 2931, 267, 20182, 630, 1960, 271, 264, 22628, 966, 7860, 281, 589, 17714, 883, 519, 2622, 540, 519, 32664, 269, 22489, 623, 15959, 658, 269, 2160, 540, 4993, 4964, 563, 306, 3832, 514, 267, 808, 269, 630, 2735, 280, 264, 2311, 5851, 7324, 5899, 13377, 269, 6115, 667, 269, 595, 269, 11829, 7596, 564, 2160, 4964, 563, 306, 615, 573, 534, 267, 26795, 269, 630, 1220, 272, 264, 32664, 6468, 3767, 281, 26787, 3776, 18990, 269, 769, 4858, 1375, 267, 10753, 529, 630, 10955, 4700, 32664, 2622, 281, 589, 8466, 24153, 543, 12729, 11905, 1504, 269, 26076, 476, 23884, 268, 4343, 280, 269, 1715, 3840, 281, 1715, 3840, 2160, 4964, 563, 268, 1703, 616, 4867, 1100, 1201, 10587, 269, 0, 15899, 31215, 2825, 1143, 543, 519, 2104, 540, 3162, 5607, 454, 257, 2691, 786, 1715, 16156, 4473, 547, 1921, 519, 15956, 1063, 11347, 9111, 543, 8733, 7254, 640, 24350, 10521, 5726, 2950, 689, 22583, 3127, 3094, 9265, 17758, 454, 763, 1483, 5314, 602, 519, 2146, 22306, 4104, 729, 1753, 547, 1082, 21049, 2249, 5280, 3267, 1683, 4027, 547, 782, 2249, 1934, 563, 3963, 616, 2021, 20495, 607, 931, 21665, 540, 9265, 888, 288, 16994, 543, 13857, 1620, 540, 519, 1909, 540, 2021, 568, 2877, 585, 5610, 540, 2021, 883, 519, 4058, 543, 3375, 1818, 3157, 563, 8855, 532, 20144, 13041, 1690, 344, 582, 328, 13850, 9655, 7498, 1862, 513, 4558, 5264, 540, 8733, 3206, 543, 606, 5683, 19671, 602, 568, 10355, 1336, 538, 3162, 5607, 779, 2825, 5251, 563, 301, 4673, 1731, 611, 340, 281, 7316, 4961, 24721, 513, 4104, 585, 476, 1911, 1296, 454, 763, 5726, 1316, 2478, 538, 715, 4673, 1731, 611, 340, 723, 1044, 2500, 910, 519, 30162, 540, 21049, 18508, 543, 21426, 4857, 1934, 616, 21981, 547, 713, 563, 294, 7134, 538, 22564, 281, 2368, 2556, 22530, 1431, 454, 320, 9240, 557, 10362, 547, 713, 15831, 267, 610, 519, 18137, 10362 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2160, 540, 20506, 23051, 3173, 616, 3384, 1007, 8596, 602, 786, 948, 519, 6051, 543, 20344, 540, 519, 2022, 16162, 2120, 30738, 2313, 9874, 3148, 543, 5512, 4824, 5464, 543, 1852, 540, 5925, 13808, 693, 6046, 4609, 5001, 563, 293, 24962, 676, 519, 7849, 5113, 3194, 7027, 630, 301, 2207, 290, 1070, 519, 1382, 786, 1445, 593, 2081, 547, 3713, 267, 2268, 543, 6895, 6046, 5982, 538, 519, 1604, 547, 7520, 2362, 6571, 4087, 543, 5464, 540, 11895, 14599, 6219, 982, 1354, 563, 4467, 19828, 8030, 267, 2825, 3744, 543, 21575, 267, 519, 2319, 6663, 547, 1020, 4130, 543, 811, 4977, 8747, 540, 1290, 17980, 268, 613, 5852, 8596, 267, 547, 1294, 875, 5925, 13808, 7575, 609, 2242, 538, 1216, 2095, 610, 11159, 3350, 267, 543, 875, 519, 5982, 538, 13572, 3037, 4991, 883, 519, 1426, 5832, 998, 2371, 543, 2831, 563, 17206, 540, 20506, 23051, 4972, 540, 8212, 2707, 3220, 12448, 11785, 1767, 519, 8596, 666, 1265, 519, 2707, 540, 5982, 609, 1454, 3152, 6111, 543, 8417, 563, 257, 5445, 723, 519, 5413, 540, 1373, 2111, 547, 12398, 519, 2707, 538, 476, 274, 291, 543, 938, 10700, 3804, 568, 547, 1020, 4130, 267, 14402, 18785, 3937, 609, 1761, 9806, 538, 6482, 942, 2437, 11785, 3773, 563, 763, 476, 1321, 18881, 6169, 6361, 8410, 1061, 1788, 568, 4502, 11278, 14028, 267, 1822, 543, 786, 20690, 513, 1279, 3856, 1982, 540, 954, 16162, 9918, 960, 2066, 519, 2160, 543, 609, 4891, 538, 3567, 269, 0, 6624, 4079, 786, 723, 930, 1995, 540, 11648, 689, 741, 1378, 6689, 267, 581, 621, 607, 519, 6408, 267, 10419, 15249, 610, 607, 513, 7198, 910, 1312, 3330, 543, 3544, 519, 1153, 19235, 563, 19185, 1394, 267, 789, 616, 2693, 547, 2992, 593, 519, 14042, 1764, 621, 1185, 593, 519, 25031, 1367, 945, 729, 593, 519, 8391, 1439, 540, 11913, 543, 2168, 8731, 618, 269, 1306, 513, 1267, 267, 789, 1419, 798, 782, 789, 666, 547, 1118, 2386, 741, 1378, 1453, 616, 2922, 689, 519, 1826, 540, 11648, 789, 4810, 950, 1762, 563, 2750, 1061, 602, 2053, 723, 4957, 910, 543, 1018, 1082, 3237, 666, 1447, 3222, 540, 267, 610, 1447, 2111, 547, 9856, 1996, 267, 568, 519, 4473, 538, 2228, 11648, 269, 1280, 9601, 267, 519, 3765, 2044, 2404, 609, 621, 666, 581, 1256, 3152, 982, 952, 789, 941, 1373, 6098, 3068, 3562, 19904, 563, 1103, 519, 715, 9915, 6717, 781, 5993, 1867, 2048, 1432, 5753, 616, 10213, 721, 827, 11648, 8730, 649, 4312, 7000, 602, 538, 519, 2063, 2947, 1296, 5646, 18522, 7886, 9447, 676, 4132, 1467, 585, 30378, 723, 2799, 676, 476, 6434, 829, 1298, 689, 476, 273, 267, 25148, 538, 476, 1001, 272, 270, 1321, 547, 476, 275, 267, 276, 6078, 538, 476, 1001, 276, 270, 1626, 563, 1432, 781, 8449, 7282, 568, 519, 5955, 649, 616, 8391, 689, 1453, 269, 634, 476, 2190, 270, 278, 2470, 540, 519, 4950, 910, 513, 1880, 3390, 609, 1514, 2923, 910, 1797, 602, 585, 1346, 945, 616, 1373, 13032, 1221, 2228, 267, 621, 666, 1419, 1745, 899, 972, 568, 1100, 9101, 563, 28308, 569, 10413, 995, 267, 17351, 1913, 543, 5961, 666, 581, 11540, 2228, 676, 519, 6880, 12712, 569, 1472, 519, 9219, 267, 543, 2938, 676, 519, 6408, 593, 741, 5100, 6049, 610, 16979, 267, 2436, 789, 4755, 547, 581, 693, 1753, 267, 1153, 610, 856, 3843, 547, 2972, 2933, 563, 4322, 6835, 2039, 689, 519, 562, 7360, 543, 19849, 23035, 267, 1318, 909, 547, 519, 6408, 1373, 5143, 547, 979, 543, 6146, 2933, 563, 257, 9336, 1554, 594, 12687, 909, 18901, 547, 979, 547, 1153, 267, 18901, 827, 519, 8292, 1004, 786, 1118, 543, 18901, 827, 6972, 1753, 2437, 1767, 835, 476, 1724, 4458, 6040, 8004, 563, 257, 10190, 594, 1205, 538, 543, 2845, 5196, 1250, 1514, 13033, 3135, 543, 972, 616, 29695, 6835, 10876, 269, 898, 779, 899, 972, 779, 1100, 29400, 519, 13032, 625, 269, 594, 6557, 10010, 547, 11883, 609, 875, 13347, 594, 1745, 267, 865, 3006, 594, 2759, 8885, 1175, 547, 723, 513, 5305, 855, 621, 779, 711, 2614, 269, 594, 666, 1406, 979, 593, 899, 713, 3034, 4407, 513, 476, 1691, 4458, 6040, 1767, 281, 834, 296, 993, 1373, 13032, 1221, 676, 513, 8004, 693, 1153, 269, 2701, 814, 3144, 6337, 540, 803, 543, 11540, 873, 593, 10965, 777, 23298, 10912, 803, 3170, 543, 30299, 543, 875, 594, 786, 2760, 723, 513, 7911, 23136, 269, 594, 723, 1044, 2348, 29047, 4555, 607, 713, 8004, 568, 2731, 2442, 543, 1352, 814, 5828, 1250, 2898, 1032, 1996, 803, 3034, 4415, 1453, 2348, 1569, 547, 519, 4950, 693, 606, 2479, 7820, 2085, 267, 519, 1981, 540, 30378, 9428, 2479, 3152, 269, 5753, 607, 1762, 607, 5722, 723, 30409, 4132, 1467, 538, 11605, 827, 1373, 593, 519, 8391, 1439, 540, 29880, 8292, 563, 307, 871, 1782, 713, 1966, 666, 1745, 3226, 18447, 585, 3237, 267, 2523, 609, 2029, 3001, 865, 3533, 563, 3383, 649, 693, 519, 715, 9915, 6717, 723, 2322, 1927, 930, 4388, 593, 875, 547, 11883, 952, 707, 1126, 568, 1373, 13032, 1221, 2228, 912, 10673, 1405, 1711, 11991, 3652, 454, 289, 8911, 707, 1126, 689, 2469, 2228, 568, 711, 519, 2626, 269, 898, 949, 1745, 899, 513, 10751, 543, 1223, 1118, 873, 1447, 2693, 547, 1476, 728, 538, 596, 269, 898, 1223, 849, 2759, 873, 1055, 689, 741, 1489, 3060, 540, 2828, 563, 5970, 606, 9237, 6643, 454, 307, 22736, 547, 707, 1126, 568, 519, 1655, 1747, 547, 1376, 269, 1234, 817, 1005, 873, 602, 789, 723, 4986, 547, 581, 19849, 21724, 267, 610, 11849, 3139, 827, 568, 1271, 269, 1280, 1453, 1447, 8348, 547, 1930, 909, 267, 4132, 1467, 568, 2141, 972, 547, 948, 563, 14399, 666, 1867, 10413, 995, 543, 13842, 995, 9708, 610, 6835, 547, 1514, 2923, 5121, 267, 543, 3625, 1004, 945, 616, 11648, 873, 2228, 269, 898, 666, 581, 4502, 4543, 873, 798, 713, 563, 13425, 707, 1126, 779, 7834, 5468, 454, 7197, 1514, 5121, 1450, 3755, 547, 1305, 741, 9043, 547, 2048, 1440, 10675, 685, 865, 602, 707, 1126, 568, 2111, 547, 6430, 945, 666, 1294, 741, 2272, 543, 945, 666, 1406, 269, 769, 1840, 267, 1034, 4609, 849, 723, 5468, 9013, 945, 568, 2111, 547, 1039, 596, 607, 513, 3659, 1107, 707, 1126, 1223, 1305, 621, 865, 602, 1100, 835, 568, 2111, 547, 1921, 609, 873, 8259, 707, 1126, 8591, 873, 1101, 269, 6423, 4880, 589, 2264, 585, 811, 1344, 827, 7834, 543, 8989, 5468, 593, 476, 2004, 540, 519, 1034, 2442, 4609, 267, 8924, 543, 3756, 1031, 676, 1762, 1004, 563, 2521, 543, 1205, 1543, 6569, 454, 2252, 519, 13032, 532, 3322, 513, 16770, 8763, 3239, 540, 513, 1762, 1268, 602, 814, 1044, 3838, 267, 1762, 1004, 666, 3346, 4132, 1467, 945, 786, 960, 609, 519, 5769, 13772, 7690, 547, 2119, 543, 1205, 519, 3239, 3144, 1524, 563, 4131, 519, 1318, 1004, 917, 454, 2252, 519, 11648, 568, 4947, 689, 9905, 693, 1153, 267, 3346, 519, 1153, 547, 1118, 873, 3222, 540, 621, 269, 1403, 519, 11648, 3322, 6937, 540, 5208, 267, 3346, 519, 7128, 563, 4002, 513, 811, 4052, 1377, 267, 4950, 3106, 3896, 6056, 340, 3104, 814, 5796, 585, 1762, 1004, 267, 1519, 513, 3391, 593, 875, 547, 1867, 13032, 625, 543, 13347, 1154, 2228, 9708, 547, 1514, 2923, 4609, 563, 9596, 827, 519, 10509, 454, 763, 715, 9915, 6717, 779, 2228, 3106, 927, 680, 710, 3091, 5796, 547, 3237, 593, 4376, 689, 519, 5767, 1514, 5121, 547, 4259, 909, 15366, 8060, 593, 707, 2780, 563, 18184, 909, 585, 707, 1453, 454, 8624, 937, 1947, 649, 991, 547, 581, 8380, 2604, 593, 6554, 543, 2872, 547, 798, 782, 789, 666, 547, 1118, 2386, 519, 4950, 568, 607, 2922, 513, 2230, 607, 2009, 585, 938, 7820, 5108, 547, 2170, 593, 563, 24426, 828, 24830, 3884, 1406, 2469, 2476, 269, 3767, 267, 621, 781, 909, 547, 782, 540, 721, 547, 2327, 519, 2228, 1158, 3085, 1405, 1831, 519, 13032, 625, 262, 19463, 19209, 563, 21609, 1467, 666, 581, 6603, 593, 476, 24699, 271, 476, 9340, 272, 610, 693, 8940, 269, 18876, 1467, 3820, 16896, 269, 634, 715, 9915, 6717, 2228, 3106, 927, 680, 710, 568, 476, 24699, 279, 476, 8517, 4335, 273, 543, 585, 811, 1344, 593, 519, 1514, 5121, 707, 1453, 616, 1210, 596, 666, 979, 547, 4178, 14492, 16477, 3820, 16896, 0, 300, 7495, 30204, 21598, 23814, 1635, 595, 823, 569, 16803, 454, 29309, 16803, 568, 606, 2150, 3931, 1902, 328, 278, 1807, 540, 2022, 8862, 541, 2342, 269, 1284, 723, 2938, 1200, 538, 5125, 543, 7977, 267, 543, 620, 268, 1498, 519, 3791, 2140, 6994, 2213, 593, 519, 12109, 3899, 540, 1200, 5767, 4320, 568, 834, 9509, 17547, 834, 649, 1265, 602, 1352, 814, 711, 11074, 2110, 540, 5333, 267, 799, 267, 1352, 2798, 856, 267, 568, 938, 14282, 16705, 543, 4061, 2352, 585, 606, 2296, 4050, 547, 2328, 540, 269, 1403, 7323, 16803, 786, 2347, 1200, 4663, 676, 4758, 721, 513, 268, 1433, 593, 7073, 4789, 1352, 786, 1287, 723, 12236, 1200, 31444, 3149, 269, 634, 1034, 2352, 2197, 585, 606, 2296, 4050, 547, 2328, 540, 1590, 581, 4789, 6902, 649, 917, 267, 610, 1589, 649, 917, 267, 865, 1454, 827, 621, 602, 513, 17400, 800, 16145, 693, 922, 2934, 786, 1152, 581, 533, 731, 19861, 952, 513, 4914, 518, 11339, 621, 269, 7323, 16803, 781, 7073, 5333, 630, 291, 550, 267, 476, 278, 338, 269, 476, 277, 323, 4700, 568, 6923, 711, 585, 3943, 5443, 269, 2701, 814, 1044, 2111, 543, 3742, 538, 10655, 1344, 827, 1514, 1272, 267, 2436, 713, 568, 7255, 609, 13864, 267, 519, 2799, 5191, 268, 540, 519, 14247, 2317, 5386, 267, 4108, 3028, 610, 519, 4567, 540, 1325, 338, 864, 268, 31240, 9627, 269, 2701, 10530, 513, 1279, 1349, 689, 513, 30732, 2280, 964, 268, 524, 1026, 532, 519, 18466, 514, 4603, 585, 2810, 519, 4332, 268, 3433, 269, 3657, 891, 13564, 1242, 1453, 547, 581, 1031, 607, 666, 12061, 535, 617, 1457, 7790, 7323, 16803, 5688, 12264, 3954, 625, 621, 6902, 543, 676, 4758, 981, 268, 726, 525, 540, 519, 4550, 21351, 1362, 268, 9248, 1031, 538, 3506, 1352, 11394, 547, 6961, 602, 5333, 568, 1100, 2113, 10560, 626, 267, 4352, 267, 910, 553, 513, 4182, 267, 1352, 3112, 7340, 1200, 7063, 610, 1200, 2924, 269, 901, 1058, 581, 556, 268, 1028, 1005, 267, 855, 1169, 2197, 666, 1459, 1079, 8188, 267, 543, 513, 6251, 543, 4514, 1353, 982, 7323, 16803, 814, 1185, 942, 585, 568, 556, 268, 844, 1600, 952, 519, 5013, 616, 547, 581, 2458, 730, 543, 519, 3020, 21274, 8268, 269, 0, 2005, 568, 4502, 3843, 585, 22254, 899, 596, 269, 4014, 713, 2022, 786, 1445, 811, 593, 1753, 24600, 799, 568, 2356, 2944, 538, 513, 1507, 10822, 267, 621, 1058, 581, 7074, 602, 2357, 6193, 558, 14006, 532, 666, 849, 581, 2944, 593, 513, 3677, 4336, 269, 898, 568, 2653, 547, 2226, 282, 16381, 1505, 16327, 24031, 568, 2944, 538, 29365, 1500, 540, 9160, 630, 276, 9943, 276, 9943, 274, 3952, 1040, 7054, 3419, 566, 1058, 581, 2944, 693, 606, 8884, 540, 476, 273, 4374, 269, 634, 17494, 267, 28945, 1570, 543, 3543, 894, 2339, 616, 24428, 538, 13719, 25510, 602, 616, 6854, 4988, 1317, 17494, 2057, 1769, 269, 24367, 2659, 21502, 545, 558, 14006, 532, 654, 768, 23642, 269, 21502, 545, 558, 14006, 568, 519, 1439, 1587, 4611, 689, 519, 23979, 540, 5214, 2339, 269, 769, 1840, 267, 519, 1587, 630, 591, 6193, 558, 14006, 264, 568, 4630, 18100, 269, 21502, 545, 558, 14006, 532, 568, 3395, 538, 8560, 543, 585, 1434, 2014, 269, 7831, 8745, 1547, 476, 16348, 17494, 1169, 476, 277, 3275, 689, 513, 2582, 1367, 269, 634, 1655, 17494, 547, 946, 538, 513, 2357, 6193, 558, 14006, 532, 5106, 616, 2699, 530, 24513, 6840, 269, 634, 1898, 3334, 540, 513, 1753, 2357, 6193, 558, 14006, 532, 1770, 9497, 591, 14741, 257, 815, 21431, 264, 616, 606, 7098, 730, 8708, 267, 930, 5848, 28945, 267, 543, 513, 1906, 8536, 2699, 17494, 269, 4595, 1250, 8250, 2729, 538, 606, 19887, 543, 568, 5461, 538, 24600, 267, 594, 6700, 513, 21431, 3484, 1788, 269, 713, 1184, 18327, 1655, 585, 2359, 540, 10051, 22837, 269, 11910, 2199, 5214, 3766, 731, 2287, 610, 824, 4677, 8637, 547, 1294, 952, 789, 6133, 17494, 269, 21502, 545, 558, 14006, 532, 269, 21502, 545, 558, 14006, 532, 540, 18812, 22415, 814, 8810, 547, 581, 513, 1360 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 593, 519, 824, 1688, 267, 666, 581, 2944, 1210, 1585, 2409, 971, 607, 12511, 8321, 566, 267, 546, 7976, 543, 10826, 1777, 720, 630, 291, 261, 290, 1070, 543, 546, 7976, 543, 27549, 630, 291, 261, 292, 1916, 309, 659, 10840, 8321, 566, 3322, 519, 946, 540, 9543, 32137, 547, 4894, 519, 6379, 689, 519, 19786, 563, 291, 261, 290, 3322, 16150, 532, 519, 19786, 547, 4894, 519, 6379, 267, 1247, 667, 261, 292, 3322, 1210, 7405, 547, 4894, 519, 6379, 538, 2665, 1141, 621, 568, 1932, 2484, 2059, 585, 513, 12511, 8321, 566, 563, 763, 1826, 540, 519, 5650, 513, 1268, 23297, 786, 4096, 593, 1896, 2188, 267, 1519, 875, 2484, 2059, 519, 6379, 568, 267, 2123, 13283, 267, 543, 1569, 547, 2564, 6703, 563, 26502, 547, 2015, 1354, 2348, 519, 31761, 454, 13356, 4575, 547, 723, 606, 31761, 568, 513, 2123, 543, 1419, 1950, 3375, 267, 543, 972, 616, 1896, 2188, 602, 666, 3310, 513, 1268, 779, 3903, 269, 2368, 540, 891, 2188, 1331, 912, 268, 26579, 3942, 281, 634, 4505, 538, 519, 6379, 267, 519, 811, 3681, 513, 1268, 814, 585, 31761, 563, 268, 2657, 281, 589, 1268, 779, 1699, 1072, 543, 1022, 2564, 2175, 789, 723, 666, 1764, 519, 1826, 540, 31761, 5650, 789, 666, 723, 563, 268, 9608, 4978, 281, 589, 1268, 779, 5837, 267, 5683, 267, 543, 3909, 4978, 666, 1404, 513, 1713, 1909, 538, 741, 3375, 563, 268, 8081, 1062, 281, 11109, 513, 11215, 7649, 267, 1920, 267, 610, 3659, 666, 581, 1271, 585, 930, 1004, 563, 268, 5685, 1734, 281, 634, 1942, 540, 606, 16377, 543, 1644, 5773, 666, 581, 513, 1713, 7156, 585, 930, 1004, 563, 268, 7457, 547, 2533, 281, 16572, 543, 6042, 4478, 31761, 1569, 666, 4268, 689, 1533, 547, 1533, 543, 2197, 547, 2197, 267, 18363, 513, 1268, 779, 2702, 547, 3489, 606, 31761, 563, 2005, 568, 1271, 585, 2043, 547, 2015, 891, 543, 824, 2188, 1354, 1818, 513, 3375, 827, 16377, 563, 1805, 919, 1141, 16377, 568, 3656, 1299, 10363, 454, 6781, 10407, 4031, 543, 6042, 4268, 676, 2197, 543, 666, 1689, 936, 942, 563, 1103, 519, 2136, 2276, 267, 585, 1383, 267, 16377, 568, 3656, 896, 5313, 1876, 267, 855, 1367, 2829, 723, 1114, 9993, 543, 6042, 563, 5278, 2829, 723, 4031, 602, 3970, 1569, 547, 31761, 267, 1247, 1866, 723, 4031, 602, 2149, 543, 4228, 1569, 547, 2533, 563, 1805, 919, 971, 607, 4993, 267, 1715, 3840, 267, 543, 6115, 723, 4031, 602, 2149, 1569, 547, 16377, 267, 1247, 2829, 899, 23916, 267, 17039, 267, 543, 16713, 723, 21892, 4031, 602, 6615, 1569, 547, 16377, 563, 2005, 779, 1271, 547, 4063, 602, 519, 1850, 1275, 540, 31761, 568, 513, 6422, 543, 9687, 3390, 267, 543, 4031, 543, 6042, 666, 1689, 6385, 563, 2252, 596, 2461, 5275, 1344, 593, 519, 1699, 4031, 543, 6042, 538, 707, 1858, 267, 594, 1131, 4363, 32296, 513, 2199, 3782, 8502, 610, 14223, 3919, 585, 519, 1034, 909, 3562, 15082, 1344, 563, 1692, 1454, 1281, 606, 16377, 1942, 454, 763, 1942, 540, 606, 31761, 666, 4268, 4922, 4470, 593, 1896, 2188, 267, 971, 607, 1141, 596, 2661, 267, 875, 2484, 2059, 596, 616, 538, 707, 6379, 543, 519, 1826, 540, 31761, 5650, 596, 3442, 563, 1103, 519, 2136, 2276, 267, 519, 3328, 1942, 540, 513, 1101, 2389, 337, 30478, 31761, 693, 513, 16758, 568, 1472, 1269, 4335, 267, 4352, 5777, 666, 2039, 689, 1269, 4968, 547, 936, 1269, 272, 267, 1822, 563, 763, 1942, 540, 513, 10551, 16377, 1282, 519, 2034, 959, 30478, 666, 581, 3648, 2362, 267, 1419, 8151, 689, 1269, 272, 267, 4335, 547, 936, 1269, 274, 267, 1822, 563, 5278, 2829, 723, 4031, 602, 2154, 6142, 3549, 547, 3382, 519, 1942, 540, 31761, 267, 1247, 1866, 723, 4031, 602, 10238, 527, 6142, 3795, 585, 2533, 563, 1103, 1840, 267, 930, 7426, 949, 2709, 23510, 4336, 12375, 1759, 593, 513, 1268, 779, 4747, 267, 1247, 1866, 949, 2709, 2883, 6351, 547, 948, 3382, 519, 1942, 540, 606, 16377, 563, 2005, 779, 1271, 547, 2911, 547, 707, 3782, 8502, 610, 513, 2199, 16758, 827, 519, 1942, 540, 606, 16377, 543, 1018, 8569, 3681, 616, 2139, 563, 5445, 666, 849, 1683, 1344, 593, 2883, 6351, 543, 824, 2200, 602, 949, 581, 2139, 547, 948, 3382, 519, 1942, 540, 519, 5650, 563, 1432, 1281, 519, 23573, 2161, 827, 16377, 454, 763, 6426, 1281, 711, 2047, 2232, 519, 3390, 540, 16377, 267, 543, 972, 616, 1100, 1808, 18627, 602, 12799, 1533, 2436, 16377, 568, 4847, 610, 19275, 563, 2026, 513, 1267, 267, 1114, 4168, 29559, 543, 2043, 949, 723, 1114, 12496, 540, 1018, 519, 6426, 3081, 827, 31761, 563, 5278, 2043, 543, 3909, 2516, 3494, 602, 1272, 5956, 693, 17748, 267, 543, 4061, 2015, 621, 547, 581, 12638, 543, 513, 5609, 563, 5445, 949, 13712, 18627, 971, 607, 25360, 332, 476, 16928, 281, 1724, 268, 1626, 267, 799, 4766, 2696, 779, 1702, 543, 4027, 540, 513, 1268, 1256, 1354, 789, 616, 4535, 267, 547, 1489, 713, 21169, 563, 8448, 338, 3494, 602, 519, 6426, 4025, 513, 3152, 8561, 593, 7863, 519, 1272, 543, 1072, 540, 519, 3993, 267, 543, 949, 2070, 31761, 607, 513, 2556, 543, 1175, 16666, 4781, 538, 1978, 6381, 563, 5445, 949, 1448, 547, 18627, 971, 607, 31519, 476, 2641, 281, 2420, 268, 1839, 267, 799, 14574, 519, 10751, 585, 23139, 5945, 610, 2669, 1282, 513, 6379, 267, 547, 1489, 713, 21169, 563, 27407, 267, 519, 7664, 540, 519, 6426, 779, 18879, 593, 16377, 666, 4268, 4922, 1759, 593, 2123, 4978, 543, 3909, 14985, 563, 2005, 779, 1271, 585, 2043, 547, 2015, 741, 1378, 2418, 543, 4978, 267, 607, 1134, 607, 3343, 5583, 689, 11967, 5289, 3401, 543, 2200, 950, 1818, 3664, 827, 621, 563, 18439, 2806, 10407, 4521, 454, 6781, 10407, 4031, 543, 6042, 4268, 676, 2197, 543, 666, 1689, 936, 942, 269, 769, 2489, 267, 31761, 568, 14931, 676, 513, 4999, 540, 5313, 543, 1533, 4031, 267, 609, 930, 2477, 849, 2348, 4031, 602, 616, 1808, 547, 1978, 4525, 563, 1103, 930, 2477, 267, 971, 607, 519, 2136, 2276, 543, 519, 2136, 8003, 267, 16377, 568, 3656, 896, 1978, 6381, 267, 971, 607, 950, 519, 1272, 610, 1072, 540, 519, 3993, 568, 693, 1981, 267, 610, 950, 519, 6379, 568, 519, 1267, 540, 1651, 652, 610, 22149, 563, 1103, 824, 2477, 267, 971, 607, 8581, 543, 12996, 267, 16377, 568, 8185, 11658, 267, 609, 3908, 17756, 563, 763, 1533, 540, 7147, 814, 21892, 1896, 4031, 602, 10038, 543, 6615, 1569, 547, 16377, 2533, 269, 2368, 540, 891, 4031, 1331, 912, 268, 20613, 1746, 1974, 281, 7147, 1876, 3340, 513, 1268, 547, 7227, 476, 2190, 3108, 1310, 513, 15360, 609, 513, 3782, 8502, 1354, 2348, 519, 31761, 563, 268, 9977, 531, 9844, 281, 3687, 832, 538, 7147, 1590, 723, 519, 2854, 9844, 540, 513, 2385, 610, 3656, 27369, 1354, 2348, 519, 31761, 563, 268, 10163, 2774, 687, 593, 7426, 281, 7147, 814, 21892, 4031, 602, 1747, 9993, 593, 16377, 7426, 267, 1519, 4170, 585, 6413, 16153, 1154, 22864, 543, 4170, 602, 19190, 2743, 519, 4441, 540, 5605, 17419, 10551, 7740, 563, 268, 7799, 1080, 593, 6142, 3795, 281, 7147, 1876, 10238, 1080, 6142, 4566, 6035, 998, 519, 1533, 779, 1072, 6142, 19458, 689, 8720, 713, 2533, 267, 609, 3908, 17756, 563, 268, 14465, 593, 1978, 5773, 281, 7147, 1876, 10238, 1080, 1978, 5773, 267, 1519, 546, 7976, 543, 27549, 630, 291, 261, 292, 264, 705, 25344, 267, 609, 3908, 17756, 563, 2005, 779, 1271, 547, 4063, 602, 891, 4031, 616, 1641, 547, 1689, 543, 949, 581, 12936, 676, 5571, 3656, 2591, 563, 2252, 596, 616, 5275, 1344, 593, 519, 1699, 4031, 543, 6042, 538, 7147, 267, 594, 1131, 4363, 32296, 513, 2199, 3782, 8502, 610, 14223, 3919, 585, 519, 1034, 909, 3562, 15082, 1344, 563, 17954, 1136, 1524, 1455, 14868, 543, 20887, 827, 16377, 454, 6781, 10407, 568, 513, 11786, 543, 1950, 3390, 267, 543, 972, 616, 1082, 14868, 543, 20887, 4478, 621, 563, 2080, 616, 930, 540, 519, 1034, 1455, 14868, 543, 20887, 267, 2059, 609, 519, 5168, 3297, 873, 912, 300, 2814, 281, 2806, 10407, 568, 2141, 513, 5906, 543, 19408, 5650, 454, 15542, 281, 2755, 782, 2564, 5773, 4163, 930, 4220, 267, 2413, 31761, 5773, 5340, 676, 8036, 3782, 7426, 616, 3622, 2922, 543, 723, 1906, 8374, 563, 1103, 1249, 267, 31761, 814, 1044, 3254, 547, 581, 835, 540, 519, 32343, 2564, 5773, 2139, 563, 300, 2814, 281, 31761, 616, 5340, 2663, 538, 6379, 454, 15542, 281, 634, 5354, 540, 31761, 616, 5340, 538, 519, 1101, 959, 30478, 540, 6379, 267, 950, 519, 4220, 543, 8374, 616, 9803, 563, 763, 8244, 540, 2533, 949, 581, 11658, 2663, 538, 6379, 267, 1759, 593, 519, 4031, 543, 6042, 540, 513, 1880, 16278, 563, 300, 2814, 281, 2806, 25344, 616, 5340, 585, 13418, 610, 607, 513, 1106, 540, 4332, 1852, 454, 15542, 281, 634, 4128, 1946, 513, 1268, 949, 3442, 547, 723, 606, 16377, 616, 1950, 543, 666, 4268, 7494, 689, 1268, 547, 1268, 563, 5278, 1455, 4128, 1331, 2883, 16132, 267, 513, 3668, 540, 1569, 547, 2200, 610, 1489, 267, 543, 2564, 4145, 563, 300, 2814, 281, 621, 666, 2014, 1279, 3856, 3929, 2800, 454, 15542, 281, 2755, 519, 3375, 547, 723, 31761, 666, 581, 2352, 543, 3929, 267, 2090, 723, 3254, 602, 519, 5318, 5354, 540, 1004, 945, 723, 705, 25344, 798, 711, 1995, 1279, 3856, 2942, 5626, 2360, 563, 1103, 1249, 267, 1082, 1004, 1867, 4743, 17212, 1386, 543, 18507, 1310, 2348, 519, 31761, 563, 300, 2814, 281, 31761, 5340, 1210, 968, 14783, 1532, 9500, 892, 2409, 454, 15542, 281, 968, 8512, 658, 1532, 9500, 892, 31761, 568, 513, 2165, 1031, 676, 4550, 268, 629, 10407, 15156, 547, 4766, 513, 1808, 1826, 540, 16377, 5650, 602, 568, 711, 5340, 563, 1103, 1249, 267, 519, 5650, 5219, 547, 607, 968, 14783, 1532, 9500, 892, 31761, 729, 17049, 538, 519, 2136, 2276, 538, 476, 1220, 274, 267, 543, 568, 711, 513, 4122, 1031, 610, 7608, 2564, 2165, 563, 2005, 779, 1271, 547, 1174, 519, 5013, 827, 16377, 543, 547, 3343, 4977, 267, 2963, 2861, 1344, 950, 1818, 3664, 827, 10285, 1072, 563, 763, 2104, 540, 1569, 543, 2924, 454, 763, 2104, 540, 31761, 1569, 543, 2924, 568, 513, 1950, 543, 6385, 9687, 3390, 563, 4415, 4657, 2797, 543, 1514, 8456, 267, 607, 1134, 607, 8441, 538, 2564, 2029, 267, 519, 5251, 540, 31761, 2924, 543, 1569, 568, 7683, 538, 13441, 563, 1103, 930, 2477, 267, 972, 568, 513, 3395, 7678, 2509, 3152, 1569, 547, 2922, 543, 3656, 31761, 2533, 267, 609, 6608, 543, 14223, 2516, 2324, 547, 2087, 1569, 547, 2200, 543, 1489, 585, 1346, 5275, 31761, 563, 1103, 824, 2477, 267, 2705, 267, 972, 568, 513, 7678, 2509, 5051, 25516, 4031, 543, 6042, 267, 799, 949, 3970, 1569, 547, 713, 2533, 543, 2333, 519, 4220, 2404, 609, 519, 5650, 563, 763, 2104, 540, 31761, 2924, 543, 1569, 786, 581, 8032, 676, 513, 1297, 540, 2188, 267, 1519, 8441, 538, 2564, 2029, 267, 13346, 2797, 543, 1514, 8456, 267, 543, 519, 3527, 540, 14223, 2516, 543, 6608, 563, 1103, 519, 4947, 1296, 267, 621, 786, 581, 1271, 547, 3136, 547, 6895, 543, 4497, 609, 891, 2152, 547, 2327, 602, 1569, 547, 2922, 543, 3656, 31761, 2533, 3788, 2139, 585, 1346, 945, 991, 621, 563, 29771, 3776, 962, 19834, 19305, 2433, 4179, 2517, 4178, 28938, 2593, 270, 287, 29729, 24610, 0, 1103, 2487, 1296, 267, 519, 1297, 540, 1004, 936, 519, 2085, 540, 476, 4649, 945, 4497, 538, 5026, 2238, 814, 2799, 269, 769, 1840, 267, 5026, 15731, 723, 2938, 1082, 13649, 525, 6318, 741, 16034, 547, 3251, 538, 3337, 267, 8488, 519, 5739, 2360, 540, 519, 8574, 540, 942, 543, 723, 1187, 563, 5475, 476, 4649, 267, 1018, 2186, 540, 7328, 666, 596, 798, 286, 1548, 15416, 1058, 581, 3144, 547, 2057, 10913, 888, 3963, 1281, 10172, 2569, 18942, 2773, 888, 763, 3123, 540, 10172, 616, 5393, 1950, 543, 3744, 616, 1869, 2324, 593, 3843, 547, 4194, 519, 13655, 269, 2201, 519, 824, 1688, 267, 922, 2360, 593, 519, 1560, 543, 519, 4539, 593, 2168, 5759, 616, 1134, 1634, 563, 288, 3101, 540, 519, 8401, 1062, 454, 4415, 519, 9868, 540, 513, 1906, 1808, 2127, 267, 2634, 543, 11983, 10260, 2281, 798, 711, 16956, 4733, 1310, 519, 1101, 1296, 540, 1272, 269, 634, 1297, 540, 8229, 2281, 267, 11409, 267, 568, 7683, 13302, 269, 901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6373, 267, 799, 729, 519, 10720, 779, 1106, 538, 13076, 609, 519, 6805, 6887, 269, 3767, 267, 968, 322, 20403, 892, 1797, 968, 335, 17274, 892, 538, 5053, 267, 2705, 789, 4769, 1406, 917, 5053, 1310, 789, 3957, 519, 10720, 269, 8235, 570, 12792, 20403, 568, 849, 1572, 519, 968, 289, 9500, 2897, 540, 519, 9891, 892, 543, 519, 968, 289, 9500, 2897, 540, 519, 5549, 553, 1848, 8342, 333, 1512, 6190, 267, 519, 2677, 16331, 611, 3266, 5211, 267, 799, 8928, 883, 968, 299, 820, 7313, 641, 6759, 2223, 568, 519, 835, 1216, 1683, 585, 8235, 570, 12792, 20403, 563, 280, 269, 8235, 2598, 1952, 2002, 618, 454, 298, 2794, 1575, 842, 559, 8235, 267, 1101, 3957, 8235, 2598, 1952, 2002, 618, 267, 568, 606, 1439, 528, 515, 545, 29649, 10720, 538, 5375, 5245, 779, 15815, 321, 4673, 1858, 269, 8235, 2598, 1952, 2002, 618, 568, 10199, 476, 5908, 5195, 610, 476, 4968, 12919, 7532, 540, 1715, 2006, 543, 568, 5180, 476, 4200, 5195, 610, 476, 8182, 12919, 17890, 269, 769, 476, 6245, 277, 267, 24413, 7671, 30567, 3957, 519, 10720, 968, 299, 820, 2598, 1952, 2002, 618, 892, 1310, 1010, 29359, 950, 1739, 524, 872, 802, 5275, 513, 15195, 10720, 269, 634, 10720, 4667, 547, 723, 1044, 8032, 30289, 547, 21625, 1373, 24571, 3022, 676, 3833, 513, 1906, 2609, 267, 1927, 609, 546, 17480, 267, 1219, 3175, 267, 543, 29684, 3635, 269, 31035, 689, 5393, 5848, 546, 15342, 1175, 899, 519, 476, 5002, 271, 17160, 543, 513, 1297, 540, 1699, 9341, 6632, 12405, 2094, 476, 3422, 278, 267, 519, 476, 3451, 267, 1822, 13463, 551, 732, 630, 11025, 267, 1822, 14092, 516, 264, 10720, 568, 7363, 3819, 269, 634, 10720, 568, 1271, 547, 519, 6742, 340, 11570, 585, 1875, 16712, 30060, 3252, 543, 585, 5356, 1216, 543, 5065, 8286, 563, 1015, 269, 8235, 7313, 641, 6759, 454, 299, 820, 7313, 641, 6759, 267, 610, 1100, 1447, 982, 1317, 621, 729, 5219, 547, 607, 267, 814, 513, 2347, 6989, 2230, 540, 476, 272, 267, 22446, 13483, 269, 5195, 630, 274, 267, 4489, 13483, 269, 12919, 1040, 634, 10720, 729, 2899, 3162, 3013, 779, 2034, 28376, 267, 855, 621, 15983, 814, 18374, 4628, 12015, 909, 269, 634, 2677, 16331, 611, 3266, 5211, 1031, 547, 3049, 621, 267, 11423, 519, 2479, 331, 8463, 513, 851, 540, 519, 10720, 267, 799, 568, 5180, 476, 4375, 272, 13483, 269, 5195, 610, 476, 272, 267, 1822, 13483, 269, 12919, 269, 634, 10720, 1131, 12492, 827, 476, 3583, 12919, 17890, 2429, 5848, 12405, 267, 6190, 547, 1266, 5285, 513, 6263, 4182, 899, 24006, 10603, 32490, 269, 590, 2117, 16484, 267, 899, 922, 2140, 267, 519, 10720, 1631, 1223, 581, 1631, 711, 513, 26430, 540, 1216, 2705, 513, 2527, 540, 544, 28854, 12406, 269, 769, 1699, 513, 1279, 942, 267, 922, 1216, 3942, 814, 12628, 267, 543, 4432, 715, 18480, 13251, 621, 547, 3819, 909, 538, 476, 1001, 276, 269, 634, 11782, 779, 2034, 28376, 10720, 568, 1631, 2370, 3152, 982, 513, 30644, 16095, 16435, 728, 563, 258, 293, 18365, 5006, 1948, 2171, 2273, 1948, 301, 3139, 1948, 299, 1389, 1948, 13328, 0, 2171, 946, 519, 4082, 5721, 540, 2219, 547, 3277, 547, 519, 1184, 540, 3206, 827, 513, 5311, 540, 4448, 2093, 269, 1284, 1419, 946, 713, 4082, 547, 3277, 547, 606, 796, 5793, 32152, 2095, 540, 2093, 267, 610, 519, 1646, 540, 513, 1899, 540, 7744, 538, 938, 2247, 563, 1607, 4082, 666, 581, 1031, 538, 6101, 543, 13016, 5468, 267, 543, 568, 1031, 3833, 4749, 538, 1312, 269, 4014, 5721, 540, 2219, 12211, 547, 519, 11144, 540, 835, 2219, 547, 1776, 267, 649, 2356, 946, 713, 4082, 950, 602, 1184, 814, 1044, 29169, 538, 930, 1259, 269, 1284, 849, 946, 621, 950, 649, 1616, 547, 2057, 1373, 29169, 856, 540, 4250, 540, 30534, 513, 1434, 1448, 610, 2856, 269, 21541, 540, 2219, 568, 1419, 19610, 609, 519, 8231, 834, 331, 846, 1701, 1280, 1383, 912, 268, 3733, 5067, 29169, 803, 1247, 594, 729, 1603, 1250, 2079, 267, 543, 1631, 594, 4076, 4503, 1250, 5721, 540, 2219, 563, 268, 590, 13446, 1862, 1018, 729, 594, 1175, 6031, 286, 594, 3893, 26531, 676, 606, 4757, 543, 4503, 1250, 5721, 540, 2219, 563, 288, 281, 1684, 596, 2247, 952, 594, 14443, 13713, 286, 594, 8910, 899, 547, 1039, 513, 6085, 547, 519, 1448, 602, 596, 1175, 1500, 563, 289, 269, 17610, 269, 2913, 803, 1175, 9096, 1250, 5721, 540, 2219, 543, 1287, 596, 666, 2671, 707, 5955, 563, 12441, 596, 917, 286, 901, 4082, 729, 1101, 6592, 538, 476, 13679, 272, 676, 519, 14544, 7338, 20122, 15816, 269, 634, 2262, 834, 30221, 257, 729, 1031, 547, 11168, 606, 1931, 569, 5311, 2147, 547, 5721, 1286, 17699, 602, 6410, 1927, 267, 835, 676, 835, 267, 538, 519, 1482, 4287, 269, 0, 30356, 16214, 540, 29725, 520, 1670, 13262, 11790, 538, 29158, 13870, 538, 519, 7147, 4400, 26111, 16323, 454, 18404, 611, 520, 657, 7197, 32057, 1714, 7373, 549, 1264, 1729, 1642, 3331, 511, 339, 655, 454, 291, 3754, 543, 3665, 5210, 5401, 17215, 1271, 20214, 538, 10286, 543, 6775, 2504, 540, 1034, 6694, 7031, 269, 11087, 2388, 616, 1419, 1713, 543, 666, 1291, 547, 2883, 7411, 585, 12696, 543, 538, 519, 6626, 4346, 269, 18926, 543, 1859, 13011, 9382, 941, 1031, 547, 7447, 519, 1871, 540, 10412, 6775, 4503, 12422, 547, 8143, 543, 13247, 2566, 538, 606, 1858, 540, 7147, 602, 7472, 936, 476, 736, 2600, 540, 519, 4182, 779, 10412, 7693, 269, 634, 6059, 1871, 540, 4503, 10412, 6775, 538, 519, 7147, 4400, 26111, 16323, 729, 1336, 547, 581, 827, 1269, 9262, 2929, 269, 23227, 908, 519, 2956, 540, 6683, 547, 519, 7147, 4346, 267, 519, 1269, 9262, 2929, 2530, 538, 519, 1871, 540, 10412, 2504, 12958, 606, 6059, 1269, 27768, 2929, 5993, 1198, 593, 519, 2949, 7147, 4346, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9213, 267, 621, 568, 7543, 547, 3802, 2066, 25260, 779, 12197, 1510, 29937, 532, 513, 5672, 515, 974, 269, 4107, 540, 621, 568, 4988, 538, 5394, 8126, 956, 540, 24917, 903, 22976, 267, 555, 1941, 26965, 543, 10053, 896, 29115, 269, 16140, 16225, 568, 3006, 5309, 9822, 730, 676, 11935, 269, 769, 519, 1034, 21986, 762, 6810, 267, 596, 666, 588, 18443, 2066, 519, 18205, 12508, 540, 1004, 12617, 538, 519, 2038, 476, 3422, 271, 338, 269, 2368, 4408, 616, 18106, 269, 2368, 726, 659, 1841, 3274, 1224, 267, 968, 4462, 4385, 892, 610, 968, 4462, 4385, 23862, 3034, 30812, 1431, 693, 519, 6444, 851, 540, 25260, 779, 568, 1152, 851, 540, 519, 1966, 269, 19866, 11673, 540, 23937, 547, 519, 28200, 798, 711, 735, 677, 609, 519, 2413, 267, 6444, 6302, 267, 543, 1950, 3656, 11673, 538, 476, 5197, 271, 338, 23339, 1039, 10539, 269, 589, 3102, 5619, 1131, 581, 2556, 547, 1174, 519, 3020, 6302, 540, 25260, 779, 12197, 563, 298, 5271, 514, 623, 1901, 267, 4171, 6109, 22630, 1299, 623, 1901, 16136, 1177, 519, 18840, 1670, 8851, 540, 1480, 3788, 689, 6115, 5244, 1282, 922, 22058, 566, 267, 3081, 602, 646, 4122, 9060, 8978, 524, 655, 2678, 625, 538, 11882, 538, 513, 1533, 540, 695, 617, 11276, 10714, 267, 543, 602, 3020, 6302, 616, 4749, 25619, 269, 898, 5526, 2009, 602, 851, 540, 606, 19887, 1950, 543, 513, 30834, 1707, 949, 581, 9361, 593, 1283, 540, 513, 1178, 3272, 731, 563, 6624, 2829, 267, 1519, 17996, 543, 18518, 267, 723, 4031, 602, 2149, 20258, 3788, 538, 14460, 1178, 3272, 1841, 543, 7111, 1977, 19746, 12406, 267, 855, 11882, 1281, 711, 269, 634, 1533, 16034, 693, 519, 968, 321, 18847, 540, 519, 1592, 892, 585, 7863, 891, 4609, 267, 2687, 547, 21142, 29139, 31899, 540, 519, 11882, 16329, 1670, 7027, 269, 1703, 616, 606, 6059, 476, 1704, 267, 1822, 29680, 610, 14460, 19746, 12406, 538, 11882, 267, 543, 519, 5411, 540, 519, 2244, 666, 1521, 891, 4609, 609, 607, 1454, 610, 607, 2370, 2463, 607, 789, 3442, 563, 307, 517, 31899, 814, 1044, 2324, 547, 1689, 713, 585, 936, 476, 1789, 1296, 267, 27490, 3650, 532, 9086, 602, 814, 21959, 1229, 513, 13384, 528, 538, 519, 11882, 3557, 5264, 10199, 2899, 513, 8717, 2094, 476, 1960, 271, 269, 3962, 942, 267, 17837, 723, 1193, 22931, 519, 6069, 12014, 538, 741, 524, 1026, 338, 269, 11374, 1296, 540, 4901, 543, 14207, 547, 4300, 848, 3906, 1519, 519, 11882, 12426, 13163, 267, 7087, 11031, 543, 519, 11882, 7464, 24529, 8189, 267, 519, 1034, 2487, 8908, 540, 513, 19746, 3915, 814, 2097, 20991, 982, 1022, 540, 922, 21530, 25600, 269, 898, 729, 593, 519, 524, 22273, 540, 1373, 5189, 547, 519, 11882, 22694, 1155, 950, 5046, 268, 866, 5734, 269, 29139, 31899, 3788, 15891, 13124, 23904, 827, 519, 16548, 540, 519, 1699, 4528, 540, 519, 3915, 267, 855, 922, 12556, 568, 7334, 563, 1103, 595, 32385, 10620, 267, 25260, 779, 12197, 729, 711, 513, 10862, 1256, 1354, 5046, 268, 866, 5280, 13544, 519, 2749, 779, 17211, 909, 547, 1472, 1269, 10037, 2929, 269, 6424, 31133, 560, 21392, 267, 945, 19622, 607, 595, 32385, 10620, 20088, 685, 8092, 5004, 543, 12124, 32645, 15440, 538, 476, 1001, 280, 267, 814, 1044, 835, 540, 1896, 20088, 5520, 945, 723, 1044, 30223, 676, 519, 2175, 693, 25260, 779, 12197, 585, 1296, 269, 1261, 26195, 2888, 513, 23498, 267, 16614, 267, 4104, 539, 2230, 563, 4913, 267, 693, 1459, 267, 31133, 560, 21392, 4967, 602, 20088, 1281, 711, 723, 513, 6578, 610, 513, 1544, 585, 4509, 25260, 779, 12197, 267, 543, 968, 531, 2865, 3388, 593, 519, 2244, 568, 606, 12362, 2249, 3034, 1103, 519, 9000, 540, 1022, 1533, 1876, 12044, 519, 2126, 540, 1480, 3788, 267, 875, 519, 4975, 540, 595, 32385, 10620, 13000, 519, 4666, 538, 25260, 779, 12197, 267, 1312, 519, 6444, 543, 11389, 322, 1758, 1242, 13980, 267, 568, 17033, 513, 2243, 540, 13919, 543, 546, 13388, 1782, 2200, 269, 1403, 972, 568, 513, 3070, 602, 786, 6368, 3142, 519, 11317, 540, 25260, 779, 12197, 519, 2596, 15683, 602, 1058, 2097, 609, 1373, 1480, 267, 621, 568, 2922, 547, 8263, 602, 519, 3070, 786, 2154, 5718, 689, 3544, 540, 4975, 8065, 543, 513, 2707, 540, 4357, 7616, 563, 28646, 519, 5046, 268, 866, 6855, 543, 519, 1644, 10779, 885, 540, 476, 1708, 271, 786, 32570, 513, 1007, 2631, 540, 8103, 585, 1346, 945, 1964, 538, 25260, 779, 12197, 267, 11121, 595, 32385, 520, 2103, 547, 6430, 602, 1100, 835, 779, 3965, 1058, 581, 3954, 580, 3603, 3274, 1317, 789, 4734, 713, 1158, 1510, 2614, 2724, 547, 4444, 513, 4729, 540, 8628, 1483, 10040, 269, 634, 12918, 616, 30528, 1996, 621, 267, 855, 6148, 713, 2749, 786, 6368, 2322, 606, 1439, 547, 3592, 476, 10204, 1296, 540, 771, 6588, 576, 995, 10714, 563, 28061, 667, 269, 21546, 568, 519, 7022, 540, 10348, 4975, 3778, 543, 4065, 282, 513, 1225, 1807, 540, 519, 595, 32385, 10620, 30179, 532, 11595, 20417, 282, 2278, 540, 595, 32385, 10620, 2142, 518, 543, 3683, 7308, 7304, 21331, 281, 1879, 2142, 518, 12984, 3751, 282, 18607, 282, 543, 7755, 9417, 7548, 693, 519, 2160, 540, 595, 32385, 10620, 269, 0, 5978, 5959, 2319, 15565, 602, 938, 2550, 11453, 741, 4522, 693, 2547, 7466, 513, 1554, 267, 543, 19568, 2899, 829, 1554, 269, 11153, 14868, 827, 29781, 32736, 543, 938, 31747, 24782, 1419, 6108, 942, 7006, 2454, 891, 1282, 938, 2550, 262, 20499, 269, 4653, 267, 649, 2491, 1946, 29781, 568, 865, 1271, 543, 1946, 596, 1058, 711, 18178, 621, 563, 14187, 5711, 9882, 2337, 596, 1832, 707, 5023, 2635, 267, 7303, 5959, 9178, 543, 10733, 2068, 269, 3371, 267, 938, 31747, 24782, 2491, 875, 513, 2635, 5023, 666, 3565, 547, 1732, 2949, 1072, 543, 8171, 607, 1134, 563, 6624, 1004, 616, 3222, 602, 17678, 543, 29781, 616, 5227, 676, 24782, 607, 1898, 2609, 540, 513, 1434, 5711, 9882, 6296, 269, 1717, 267, 930, 2550, 616, 15458, 593, 519, 32067, 3877, 267, 971, 607, 799, 1931, 789, 1058, 581, 2944, 538, 267, 610, 952, 835, 568, 811, 1271, 982, 519, 824, 269, 3371, 267, 938, 31747, 24782, 1865, 17678, 543, 29781, 538, 1469, 269, 0, 2691, 8939, 3211, 585, 476, 278, 628, 3446, 1514, 2090, 267, 621, 779, 1271, 547, 1413, 585, 1346, 602, 786, 4497, 519, 2875, 543, 4161, 1010, 1702, 269, 15765, 1565, 666, 581, 6913, 676, 9001, 513, 3099, 540, 3450, 2553, 269, 2755, 1514, 2090, 1281, 711, 8209, 1445, 593, 4984, 610, 2229, 267, 621, 1281, 4001, 519, 2875, 547, 1174, 824, 1004, 269, 901, 568, 513, 2556, 5578, 585, 513, 2875, 547, 1831, 606, 5483, 2518, 12504, 269, 1717, 267, 713, 1281, 711, 1611, 602, 3211, 1058, 581, 19309, 267, 543, 596, 3580, 1265, 602, 707, 1053, 4465, 1406, 1616, 547, 9096, 873, 563, 1103, 519, 2136, 2276, 267, 596, 3580, 1265, 513, 2647, 3099, 540, 1514, 2090, 3211, 269, 1452, 25258, 616, 13988, 609, 5871, 11759, 11621, 269, 634, 3804, 540, 4317, 5525, 568, 547, 1118, 1053, 3222, 540, 741, 1747, 538, 519, 1158, 267, 543, 547, 1831, 3743, 2518, 4961, 269, 4653, 779, 6176, 6520, 814, 1500, 14051, 513, 4641, 267, 543, 713, 666, 581, 2944, 676, 1565, 827, 11585, 543, 1699, 2621, 269, 6096, 585, 1514, 2090, 849, 4001, 1053, 875, 547, 1118, 4296, 1063, 2477, 543, 4529, 563, 278, 628, 6103, 4317, 5525, 6096, 7300, 454, 2691, 7446, 3211, 585, 476, 278, 628, 3446, 1514, 2090, 267, 1118, 2386, 547, 2307, 707, 4116, 827, 1022, 14327, 269, 769, 1514, 2090, 267, 19696, 2959, 568, 513, 1590, 267, 865, 621, 779, 2629, 547, 2285, 5491, 547, 519, 1004, 945, 723, 2854, 827, 519, 1888, 269, 6684, 267, 596, 3580, 1616, 547, 5000, 707, 15032, 547, 1039, 741, 8292, 607, 1134, 865, 602, 789, 666, 1174, 519, 1888, 1732, 269, 898, 779, 2629, 547, 1491, 519, 942, 547, 1224, 998, 707, 1514, 2090, 23519, 543, 519, 3211, 538, 1931, 547, 581, 4628, 5423, 585, 1362, 563, 2791, 666, 849, 1413, 585, 1514, 2090, 3211, 602, 616, 1863, 547, 4647, 269, 30180, 9359, 2488, 513, 3099, 540, 7792, 1514, 2090, 3211, 267, 8720, 3584, 8151, 689, 13909, 20514, 547, 5808, 12984, 9410, 13162, 3751, 12789, 269, 543, 811, 269, 1452, 2238, 616, 1187, 585, 1053, 547, 2347, 543, 948, 873, 1451, 1018, 789, 4076, 4121, 269, 1924, 1810, 1406, 1577, 519, 2566, 540, 513, 4928, 1514, 2090, 3992, 1205, 596, 1524, 269, 5502, 267, 1118, 1565, 1187, 609, 1863, 7792, 1514, 2090, 3211, 2336, 2026, 2484, 607, 6437, 568, 7255, 267, 519, 1514, 2090, 5396, 538, 18749, 3446, 786, 1445, 593, 519, 1158, 779, 2101, 2551, 7740, 269, 769, 1840, 547, 2596, 1702, 540, 11585, 267, 1053, 786, 849, 1451, 827, 519, 1480, 1604, 267, 9297, 267, 2916, 267, 543, 2229, 269, 595, 643, 923, 568, 513, 1883, 1858, 602, 2337, 1053, 1174, 875, 6608, 960, 543, 875, 4031, 616, 1500, 269, 2353, 540, 713, 568, 513, 2629, 851, 540, 513, 2875, 779, 2069, 269, 1411, 666, 1265, 1863, 3211, 585, 476, 278, 628, 3446, 1514, 2090, 1934, 563, 5278, 540, 519, 7317, 3211, 1331, 513, 3460, 1472, 519, 476, 2004, 2829, 267, 609, 6755, 601, 2100, 3212, 629, 1328, 3478, 4503, 269, 11524, 1331, 10145, 543, 13042, 7851, 540, 5245, 543, 1715, 10215, 267, 607, 1134, 607, 4516, 779, 16899, 543, 3854, 269, 2368, 540, 891, 2200, 849, 2270, 3211, 593, 519, 18173, 1272, 4783, 269, 1703, 616, 849, 513, 3099, 540, 2257, 3211, 585, 707, 476, 278, 628, 17603, 267, 1519, 8760, 540, 2831, 543, 2241, 6191, 563, 2690, 519, 3483, 540, 1620, 519, 1699, 2621, 543, 519, 1004, 543, 2621, 602, 616, 7133, 519, 1158, 2221, 267, 1053, 991, 547, 1451, 827, 519, 1114, 8371, 540, 2229, 269, 1280, 3236, 267, 519, 2136, 2276, 2229, 568, 7745, 1524, 883, 519, 1585, 8371, 267, 543, 1053, 1451, 827, 519, 9139, 543, 1883, 3140, 6054, 899, 519, 9291, 540, 7126, 269, 634, 1514, 9443, 849, 948, 1053, 1020, 2565, 3206, 543, 10763, 1983, 269, 11086, 267, 891, 616, 519, 5748, 540, 1022, 2104, 2069, 563, 10743, 1058, 849, 917, 827, 519, 4583, 17701, 971, 607, 19090, 267, 7395, 749, 534, 267, 23634, 14162, 267, 543, 7395, 749, 534, 269, 769, 1840, 547, 1565, 827, 891, 17701, 267, 789, 1058, 581, 5432, 609, 2244, 845, 6863, 267, 971, 607, 8544, 320, 267, 29415, 267, 18962, 267, 543, 29415, 269, 901, 1702, 786, 948, 873, 1174, 519, 10923, 4525, 540, 519, 1158, 269, 4635, 476, 278, 628, 6103, 4317, 5525, 6096, 585, 5664, 3427, 786, 948, 707, 1053, 4487, 891, 2035, 538, 519, 1655, 2009, 1259, 269, 0, 26594, 28924, 762, 5811, 10607, 2542, 1983, 454, 303, 3233, 3988, 267, 581, 789, 1453, 610, 4079, 267, 723, 1419, 18486, 741, 2542, 1377, 693, 519, 3942, 1141, 3476, 1913, 991, 547, 581, 1232, 10757, 269, 1358, 536, 1779, 693, 519, 3259, 540, 513, 2262, 269, 1358, 1419, 11571, 2066, 782, 519, 5022, 1818, 3552, 7058, 525, 269, 1717, 267, 1346, 609, 21260, 4938, 629, 983, 625, 1419, 3111, 609, 713, 1505, 563, 20091, 3564, 519, 12729, 1377, 454, 2691, 1453, 4283, 6281, 2069, 519, 2542, 7411, 540, 1641, 1257, 2835, 4679, 269, 10251, 267, 713, 568, 1419, 519, 3942, 693, 799, 930, 2043, 2887, 3297, 538, 741, 2542, 543, 10259, 1983, 563, 288, 3730, 1259, 540, 5466, 741, 4250, 540, 3476, 1913, 568, 547, 948, 873, 547, 21028, 1114, 27612, 2010, 269, 24664, 1176, 267, 693, 519, 14724, 1377, 267, 972, 616, 1175, 3670, 2010, 540, 24424, 547, 1831, 5432, 609, 269, 23779, 540, 1346, 1114, 27612, 2010, 786, 948, 606, 1367, 1232, 1712, 3818, 1606, 22690, 762, 1913, 811, 3362, 269, 1358, 2253, 547, 1174, 602, 1279, 7294, 1913, 616, 3274, 12673, 540, 4448, 24424, 269, 13876, 2358, 519, 3270, 540, 1114, 24424, 2306, 519, 29852, 540, 971, 1913, 1447, 18447, 563, 4910, 1830, 547, 2087, 519, 29852, 540, 3818, 1606, 22690, 762, 1913, 454, 306, 22690, 762, 5811, 6663, 547, 4001, 2043, 547, 946, 741, 4064, 547, 3343, 856, 1346, 2834, 3270, 538, 1913, 269, 634, 3670, 2010, 540, 24424, 616, 912, 268, 1930, 24424, 454, 268, 6806, 24424, 454, 268, 3803, 27901, 2048, 548, 685, 630, 323, 548, 267, 6926, 267, 1579, 3092, 3738, 1910, 961, 1963, 454, 268, 20262, 2048, 337, 685, 4999, 630, 541, 267, 610, 269, 2144, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 275, 269, 278, 2929, 4892, 6039, 1282, 519, 2112, 543, 476, 14138, 267, 276, 1626, 941, 7166, 630, 3467, 982, 3368, 538, 1875, 10687, 321, 520, 7972, 264, 543, 811, 982, 476, 1220, 267, 1822, 20754, 267, 621, 568, 1100, 3476, 513, 3965, 585, 1034, 269, 3933, 3701, 547, 6406, 2782, 1252, 1023, 543, 2462, 18189, 338, 547, 519, 10476, 2782, 543, 2622, 2782, 4083, 11419, 519, 3854, 779, 32041, 543, 16973, 563, 13328, 2782, 594, 286, 3502, 865, 1454, 563, 10214, 865, 267, 519, 1298, 27812, 540, 519, 2136, 3557, 779, 7127, 883, 602, 2112, 786, 581, 16434, 569, 16033, 730, 1985, 1032, 267, 543, 609, 513, 2462, 16713, 6335, 563, 2108, 13328, 2782, 594, 814, 1044, 2186, 540, 1433, 2105, 1063, 519, 6406, 2782, 543, 2622, 2782, 4083, 2223, 1767, 27508, 962, 1442, 15625, 267, 513, 4108, 1686, 11285, 693, 519, 2817, 19964, 543, 19475, 10029, 269, 968, 288, 2603, 540, 1654, 1206, 3357, 1394, 543, 2760, 4941, 547, 2911, 827, 621, 269, 15526, 543, 741, 23013, 729, 3843, 547, 15476, 513, 1433, 593, 519, 6406, 2782, 269, 1635, 519, 942, 649, 941, 4712, 547, 9784, 1496, 13328, 2782, 594, 3910, 2622, 2782, 4083, 3357, 2059, 3034, 312, 1442, 15625, 568, 519, 2278, 540, 513, 1433, 827, 16713, 5065, 3627, 968, 14937, 10793, 892, 6431, 3107, 267, 945, 3366, 519, 1977, 30609, 819, 776, 10414, 602, 512, 5792, 519, 2112, 585, 519, 3943, 543, 3703, 1996, 5125, 563, 763, 1433, 267, 968, 293, 677, 344, 4149, 16838, 17963, 281, 1215, 6431, 3107, 779, 2782, 19144, 595, 877, 540, 6520, 547, 4347, 324, 520, 519, 4436, 8136, 538, 2622, 2782, 594, 2223, 568, 827, 519, 11135, 540, 2725, 2224, 5025, 337, 12455, 928, 267, 519, 1973, 5006, 2479, 585, 606, 1977, 7952, 269, 589, 2929, 4892, 4682, 909, 1996, 513, 25982, 4436, 8136, 543, 11124, 476, 2918, 267, 1822, 7972, 543, 811, 982, 476, 8099, 267, 1822, 20754, 1354, 4543, 547, 3196, 21704, 563, 8333, 13579, 725, 538, 2342, 543, 2066, 519, 2136, 2276, 1985, 1032, 786, 2119, 547, 556, 11779, 548, 3007, 547, 519, 772, 2529, 269, 7127, 538, 519, 2112, 267, 799, 729, 10692, 609, 2527, 539, 20679, 538, 27337, 881, 2175, 267, 609, 2367, 7166, 676, 519, 1850, 687, 538, 3046, 5523, 2914, 1600, 543, 3684, 3766, 684, 1606, 933, 696, 1100, 17907, 779, 3338, 269, 18776, 729, 1419, 6027, 538, 18126, 540, 2666, 12349, 609, 9937, 540, 5215, 540, 4666, 543, 20754, 563, 4002, 4989, 476, 277, 268, 279, 267, 16033, 725, 540, 519, 772, 2529, 269, 7127, 538, 519, 2112, 630, 6518, 3459, 538, 476, 4489, 275, 264, 786, 581, 6825, 538, 772, 2529, 269, 2377, 817, 625, 538, 2342, 267, 543, 693, 513, 968, 24445, 547, 1488, 916, 892, 10554, 693, 519, 2817, 2622, 2782, 594, 7467, 543, 17341, 538, 17857, 4975, 269, 589, 862, 655, 2610, 540, 772, 2529, 269, 5794, 6796, 786, 581, 4371, 602, 1482, 15964, 693, 7665, 6202, 5794, 10414, 12476, 538, 27293, 267, 1325, 320, 563, 8333, 13579, 725, 1934, 543, 2066, 2342, 786, 3136, 998, 8734, 269, 476, 1556, 267, 476, 1001, 279, 267, 16287, 519, 6186, 626, 823, 547, 1439, 519, 2112, 563, 763, 8317, 3091, 1776, 4960, 547, 2689, 519, 1272, 540, 6431, 3107, 267, 513, 5065, 540, 6263, 30086, 1194, 324, 267, 7720, 1421, 476, 13136, 5195, 22070, 540, 853, 269, 8402, 563, 8072, 293, 2444, 3215, 543, 896, 1952, 3285, 730, 20371, 306, 1181, 543, 9157, 593, 1016, 24002, 267, 6431, 3107, 729, 519, 812, 1034, 3743, 585, 519, 2136, 2276, 685, 3001, 689, 513, 890, 659, 8135, 7952, 540, 476, 13136, 267, 1822, 547, 519, 476, 273, 2929, 2367, 945, 267, 538, 513, 2339, 540, 3275, 267, 941, 16487, 547, 5333, 547, 4339, 269, 1358, 543, 519, 7372, 2179, 540, 7727, 2556, 547, 3049, 543, 6186, 873, 941, 16487, 998, 15798, 1102, 6479, 609, 4436, 772, 28967, 1846, 269, 4495, 13383, 267, 519, 4892, 3710, 476, 12010, 5195, 540, 16456, 3950, 547, 3761, 741, 10136, 563, 5415, 982, 513, 2540, 2663, 267, 971, 905, 1846, 1413, 791, 1601, 4601, 18447, 563, 763, 6205, 540, 621, 782, 267, 6431, 3107, 267, 568, 968, 821, 540, 519, 1034, 4241, 543, 896, 1952, 3285, 730, 5515, 892, 538, 1977, 1686, 267, 1767, 4446, 2284, 15966, 1195, 267, 513, 7548, 693, 519, 2160, 540, 27228, 945, 568, 2324, 593, 513, 17245, 593, 6431, 3107, 563, 25324, 3107, 779, 1272, 838, 10165, 519, 6406, 2782, 547, 519, 21554, 540, 519, 6046, 2085, 269, 1261, 5747, 538, 476, 3707, 279, 693, 2085, 476, 9262, 267, 2348, 5280, 2226, 513, 890, 659, 8135, 4108, 1063, 519, 1079, 1158, 10617, 543, 3337, 519, 1883, 10492, 945, 5280, 519, 772, 2529, 269, 543, 922, 16167, 3094, 2622, 2782, 4083, 563, 3080, 540, 6431, 3107, 779, 9998, 8823, 5949, 950, 646, 729, 1175, 476, 274, 610, 476, 275, 1296, 2025, 269, 20752, 17382, 3369, 871, 619, 678, 753, 17977, 30086, 1194, 324, 3735, 538, 519, 6406, 2782, 269, 3571, 4651, 267, 513, 1134, 8153, 1858, 21471, 543, 2178, 5742, 626, 267, 729, 8600, 547, 13720, 519, 2261, 7596, 619, 609, 513, 8929, 30516, 950, 6431, 3107, 779, 3993, 11074, 1864, 267, 30418, 1352, 1705, 711, 1616, 547, 581, 513, 30612, 609, 1762, 1453, 563, 22081, 1082, 772, 2529, 269, 1252, 1023, 723, 2479, 2965, 1185, 741, 554, 2210, 12495, 267, 1256, 741, 1753, 267, 22983, 676, 606, 10546, 3196, 267, 543, 1496, 5228, 602, 316, 1174, 519, 1271, 1909, 602, 513, 4108, 1590, 1404, 547, 1683, 3354, 547, 513, 2197, 9495, 4280, 519, 3561, 4115, 15966, 1195, 267, 945, 568, 726, 12976, 998, 12531, 540, 6431, 3107, 779, 5022, 543, 824, 6054, 693, 519, 2817, 19964, 267, 7732, 540, 6837, 543, 824, 2200, 563, 2108, 6546, 1590, 723, 1044, 513, 759, 15929, 4090, 585, 6431, 3107, 2223, 15966, 1195, 1767, 563, 30952, 267, 1310, 519, 1920, 4503, 3592, 782, 922, 22590, 1282, 519, 11784, 540, 476, 6942, 274, 267, 1762, 6431, 3107, 6026, 538, 606, 782, 15918, 871, 1153, 563, 763, 28215, 968, 14937, 10793, 892, 12090, 607, 513, 890, 329, 20753, 267, 4947, 689, 6431, 3107, 779, 18515, 547, 4001, 3109, 1053, 267, 543, 1010, 3028, 609, 519, 476, 1015, 628, 595, 10052, 787, 267, 519, 1340, 539, 782, 15918, 871, 968, 289, 4428, 14900, 22307, 4536, 892, 540, 519, 2022, 4211, 2753, 2782, 5736, 563, 28074, 540, 6431, 3107, 779, 9157, 2470, 543, 1010, 5784, 4724, 7862, 968, 322, 877, 689, 16713, 267, 543, 6157, 519, 1974, 540, 942, 950, 646, 8057, 909, 538, 6031, 875, 14882, 666, 3337, 513, 2486, 543, 2112, 335, 543, 1256, 829, 3200, 519, 3020, 15752, 540, 8103, 2223, 15966, 1195, 1767, 563, 4504, 574, 573, 908, 855, 13035, 454, 25324, 3107, 267, 899, 1082, 945, 6039, 896, 1864, 538, 2622, 2782, 594, 267, 729, 513, 26997, 17199, 269, 1261, 3576, 513, 1449, 585, 7127, 547, 4639, 8672, 1152, 1310, 513, 7820, 11078, 8068, 606, 740, 538, 519, 2199, 1957, 543, 1767, 621, 729, 513, 1434, 1259, 585, 6431, 3107, 547, 1205, 513, 2362, 2069, 563, 2108, 3891, 1185, 606, 4277, 4876, 269, 1261, 4769, 1406, 1616, 547, 979, 883, 519, 4108, 267, 646, 4941, 547, 581, 513, 4116, 2223, 962, 1442, 15625, 1767, 269, 968, 3719, 899, 1034, 2367, 693, 519, 942, 267, 646, 7948, 1406, 6488, 621, 3034, 3891, 6039, 607, 606, 1140, 5995, 538, 3567, 269, 5565, 1296, 1354, 519, 2112, 267, 646, 11124, 1390, 2123, 2530, 950, 1010, 7385, 267, 24796, 25845, 25303, 6431, 3107, 267, 513, 3411, 571, 1326, 974, 543, 8250, 540, 513, 29131, 6845, 1807, 267, 729, 7166, 538, 513, 3595, 267, 2059, 609, 741, 1614, 20766, 269, 8307, 513, 5067, 15068, 563, 25324, 3107, 10692, 7754, 11155, 966, 8759, 779, 986, 11107, 519, 1032, 1354, 2622, 2782, 594, 13264, 856, 269, 1261, 1287, 3366, 519, 772, 2529, 269, 589, 9128, 547, 11802, 269, 3571, 3946, 727, 543, 29523, 1293, 28312, 267, 1010, 30671, 547, 2322, 1977, 10136, 896, 519, 4971, 540, 4914, 10492, 543, 1010, 2656, 3562, 7308, 2389, 3419, 3455, 3375, 547, 4894, 4971, 619, 952, 646, 5433, 789, 941, 711, 7893, 909, 2813, 11972, 2592, 543, 3140, 1491, 25498, 540, 602, 2112, 563, 3719, 538, 15966, 1195, 779, 1382, 267, 519, 3561, 4115, 814, 849, 1336, 1776, 2427, 540, 6431, 3107, 602, 14753, 547, 519, 1950, 7569, 540, 5718, 269, 769, 5022, 547, 1010, 7385, 543, 1453, 267, 543, 2663, 267, 538, 5022, 547, 513, 4936, 1014, 23899, 8303, 1014, 4807, 267, 631, 7865, 1467, 1763, 1723, 267, 7247, 646, 1558, 1282, 519, 2112, 543, 3964, 513, 2078, 609, 602, 1131, 2063, 585, 519, 1964, 540, 1010, 1272, 267, 6431, 3107, 7000, 513, 1454, 1114, 1268, 563, 763, 968, 1090, 16967, 543, 5676, 514, 4115, 892, 1857, 812, 968, 322, 746, 581, 1360, 25254, 2223, 15966, 1195, 1767, 269, 1809, 547, 1010, 1920, 543, 2663, 267, 547, 1010, 24158, 267, 968, 515, 729, 1360, 13035, 3034, 24685, 1010, 1378, 2247, 646, 1185, 513, 5075, 540, 1018, 602, 5539, 1496, 1993, 5718, 316, 5645, 267, 543, 646, 729, 12483, 1652, 538, 3843, 547, 1118, 2386, 602, 646, 1131, 27481, 602, 2990, 2223, 15966, 1195, 1767, 269, 968, 21953, 593, 519, 4357, 2427, 646, 729, 3168, 585, 513, 9675, 1141, 646, 1223, 581, 609, 18825, 602, 646, 1223, 3972, 4625, 267, 543, 581, 5128, 267, 543, 581, 13035, 563, 2108, 4517, 594, 1589, 972, 568, 2141, 513, 2243, 281, 1403, 513, 812, 2982, 789, 616, 13035, 543, 17519, 267, 568, 602, 513, 1129, 540, 8467, 9495, 15966, 1195, 1767, 269, 968, 4517, 3226, 267, 602, 568, 519, 2013, 1141, 789, 4755, 547, 581, 519, 7986, 4108, 6205, 538, 519, 2197, 543, 6148, 538, 519, 1158, 267, 1310, 2622, 2782, 594, 269, 15742, 569, 1346, 27524, 582, 558, 625, 941, 693, 960, 609, 6431, 3107, 1848, 8729, 23968, 5622, 454, 291, 18769, 17626, 9477, 519, 6830, 17480, 540, 513, 1895, 540, 3197, 593, 519, 1753, 4395, 607, 789, 2119, 547, 2226, 2343, 1275, 1247, 6628, 568, 3238, 538, 519, 3689, 2622, 2782, 563, 2537, 5412, 476, 4489, 277, 454, 5472, 14501, 2139, 593, 18917, 1775, 32156, 15571, 630, 31696, 2698, 1070, 7064, 267, 18917, 454, 8005, 568, 2228, 454, 5825, 619, 19855, 713, 8468, 281, 3143, 10805, 3755, 543, 476, 1691, 14538, 0, 8512, 594, 910, 634, 5696, 650, 5736, 454, 1607, 2985, 568, 896, 1646, 269, 7490, 2638, 1394, 1419, 585, 10311, 1403, 596, 4312, 1044, 1934, 1354, 267, 5734, 834, 8269, 3306, 8487, 307, 1503, 2917, 321, 4926, 941, 1101, 544, 2393, 539, 585, 26551, 267, 610, 267, 811, 7157, 267, 519, 1287, 5498, 1706, 622, 29109, 540, 8672, 27578, 267, 607, 2038, 607, 476, 4489, 273, 267, 950, 519, 3703, 12052, 11272, 24020, 11567, 741, 2009, 946, 1018, 729, 1287, 513, 6385, 9750, 1016, 7875, 540, 519, 909, 11034, 2823, 2749, 593, 4516, 781, 7178, 5032, 269, 634, 2856, 729, 3533, 12628, 950, 621, 729, 7691, 602, 519, 10002, 8491, 9897, 540, 519, 1554, 267, 13745, 609, 519, 4396, 18646, 593, 519, 512, 1503, 2917, 6472, 267, 1131, 2285, 513, 1454, 17071, 11878, 547, 519, 8265, 322, 1513, 602, 941, 5555, 8704, 563, 7212, 519, 512, 1503, 2917, 24650, 3576, 3180, 538, 519, 2136, 2276, 543, 6628, 538, 519, 476, 4350, 271, 781, 267, 538, 4516, 267, 8265, 322, 1513, 4797, 547, 20441, 519, 4683, 6283, 6429, 2394, 1310, 2622, 2782, 4083, 269, 769, 26551, 267, 519, 8265, 16749, 1062, 729, 1869, 538, 4357, 9562, 269, 634, 5230, 6808, 540, 519, 2112, 1296, 267, 13745, 609, 796, 822, 22355, 540, 1007, 3937, 543, 1219, 518, 1042, 5826, 540, 519, 2025, 267, 2451, 519, 7841, 2861, 18302, 1062, 538, 695, 3711, 956, 269, 634, 17405, 14617, 5179, 21772, 540, 519, 1554, 941, 3500, 267, 1159, 11481, 543, 28537, 269, 634, 7460, 2207, 267, 2324, 538, 13447, 609, 519, 4975, 540, 26551, 267, 8359, 547, 2413, 1125, 922, 1062, 676, 16565, 513, 1804, 18239, 540, 512, 1503, 2917, 321, 4926, 563, 307, 1503, 2917, 321, 4926, 5916, 519, 6899, 267, 533, 928, 9964, 2389, 1600, 11878, 543, 3106, 540, 1225, 2125, 728, 15205, 267, 2934, 540, 21772, 267, 609, 519, 9120, 2773, 4162, 540, 519, 30788, 14617, 8265, 322, 1513, 269, 1358, 5963, 616, 513, 10316, 6174, 269, 898, 849, 5280, 602, 789, 10057, 1648, 6383, 10464, 569, 676, 519, 1482, 2754, 602, 13234 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 585, 519, 7083, 2696, 2285, 628, 873, 1769, 281, 543, 789, 4927, 12081, 585, 2479, 543, 2479, 563, 527, 786, 581, 454, 1993, 1769, 630, 328, 4318, 269, 17689, 994, 515, 786, 679, 13097, 454, 274, 6113, 1790, 1086, 5731, 454, 16269, 786, 581, 15438, 454, 314, 9616, 316, 3371, 693, 2806, 541, 574, 23549, 649, 2811, 8499, 9599, 827, 938, 954, 15035, 1715, 11620, 267, 543, 960, 568, 11179, 538, 3356, 563, 2414, 4266, 649, 723, 827, 476, 9032, 269, 273, 260, 540, 519, 1715, 11620, 4988, 29477, 374, 0, 268, 476, 272, 1215, 798, 596, 2721, 513, 18700, 25047, 13826, 888, 268, 476, 273, 1215, 798, 596, 5173, 18700, 25047, 13826, 3268, 888, 268, 476, 274, 1215, 1454, 2230, 798, 594, 991, 585, 513, 18700, 25047, 13826, 888, 268, 476, 275, 1215, 798, 596, 1118, 513, 476, 274, 291, 18700, 538, 4201, 665, 611, 888, 268, 476, 276, 1215, 798, 596, 2721, 24383, 888, 268, 476, 277, 3657, 18700, 25047, 322, 1162, 3656, 888, 268, 476, 278, 1684, 596, 991, 4058, 10479, 585, 513, 18700, 25047, 13826, 888, 268, 476, 279, 1772, 18700, 25047, 13826, 2922, 888, 268, 476, 280, 1548, 568, 1863, 1688, 5373, 888, 1692, 798, 596, 2721, 513, 18700, 25047, 13826, 888, 19352, 532, 513, 9454, 531, 853, 1515, 13826, 454, 268, 5153, 2290, 1107, 8571, 513, 13340, 269, 8074, 281, 634, 1739, 5373, 729, 2813, 593, 513, 16979, 1210, 1160, 22056, 563, 268, 5153, 5565, 1107, 8571, 513, 23225, 20514, 563, 268, 5153, 8422, 1107, 8571, 513, 23225, 11875, 2354, 525, 563, 268, 5153, 9050, 1107, 19147, 519, 11875, 2354, 525, 563, 268, 5153, 12866, 1107, 5410, 513, 14465, 3563, 563, 268, 5153, 14520, 1107, 12315, 2659, 17778, 2368, 4813, 563, 268, 5153, 18599, 1107, 5410, 1744, 8172, 563, 1692, 798, 596, 5173, 18700, 25047, 13826, 3268, 888, 272, 269, 3689, 267, 1491, 519, 7516, 540, 519, 25047, 6202, 6679, 269, 589, 18700, 25047, 13826, 814, 513, 476, 1911, 7825, 4130, 8006, 982, 519, 2016, 25047, 6202, 6679, 269, 17778, 547, 5071, 513, 9454, 531, 853, 1515, 13826, 454, 268, 4469, 3233, 4463, 2048, 327, 685, 815, 476, 17734, 271, 7825, 563, 268, 681, 16014, 2048, 337, 685, 815, 476, 18597, 563, 268, 3143, 540, 1567, 619, 815, 17734, 271, 270, 18597, 815, 476, 1321, 563, 268, 3143, 281, 540, 17778, 815, 476, 1556, 1341, 476, 272, 13941, 3760, 563, 1692, 1454, 2230, 798, 594, 991, 585, 513, 18700, 25047, 13826, 888, 274, 685, 277, 892, 18922, 547, 476, 5655, 2698, 6279, 538, 8006, 543, 4061, 519, 32745, 8379, 9331, 6679, 2450, 602, 596, 991, 631, 19851, 581, 476, 4510, 6279, 1535, 476, 4510, 6279, 630, 4510, 892, 343, 4510, 26158, 1411, 991, 693, 2547, 476, 4510, 892, 343, 4510, 892, 6679, 1317, 596, 3580, 991, 1079, 3063, 6279, 585, 707, 11263, 547, 2951, 2059, 519, 1688, 571, 559, 607, 596, 3802, 909, 543, 1524, 519, 24383, 563, 1692, 798, 596, 1118, 513, 476, 274, 291, 18700, 538, 4201, 665, 611, 888, 288, 927, 1460, 568, 606, 1930, 476, 273, 291, 610, 476, 274, 291, 18700, 563, 268, 8437, 5851, 9184, 8571, 8470, 4477, 1460, 269, 4855, 563, 268, 10410, 1518, 519, 4099, 1448, 585, 519, 3490, 540, 519, 927, 1460, 563, 268, 10410, 1518, 519, 3490, 8953, 563, 268, 10410, 1518, 519, 1283, 8953, 610, 2046, 9373, 547, 14574, 519, 1482, 1871, 607, 519, 3490, 8953, 563, 268, 10410, 1518, 519, 4463, 540, 519, 927, 1460, 563, 1692, 798, 596, 2721, 24383, 888, 1692, 547, 8571, 853, 4202, 454, 268, 3689, 267, 2721, 1079, 3515, 602, 616, 5594, 6251, 547, 1142, 824, 693, 519, 1283, 563, 268, 3767, 2721, 519, 3515, 8220, 519, 1079, 3515, 602, 649, 16668, 538, 519, 3105, 1900, 563, 268, 7201, 519, 3515, 689, 519, 3105, 1900, 267, 1039, 811, 3515, 607, 3254, 538, 938, 1383, 563, 268, 8571, 3515, 1063, 519, 3515, 689, 519, 3105, 1900, 563, 6701, 18700, 25047, 322, 1162, 3656, 888, 2750, 527, 21976, 634, 4993, 8943, 540, 22769, 585, 5010, 5656, 267, 585, 1383, 267, 2636, 18700, 25047, 322, 1162, 547, 581, 1031, 607, 606, 14827, 952, 519, 5934, 25500, 8700, 568, 693, 2547, 476, 1015, 6279, 543, 952, 519, 6418, 8953, 540, 519, 25047, 13826, 568, 693, 2547, 7466, 519, 8700, 540, 519, 25047, 3118, 563, 2710, 596, 991, 4058, 10479, 585, 513, 18700, 25047, 13826, 888, 763, 3652, 1369, 3487, 918, 1810, 1406, 4019, 547, 18700, 610, 927, 673, 25047, 13826, 6272, 855, 3079, 1533, 602, 585, 513, 18700, 25047, 13826, 1374, 267, 519, 3703, 11621, 11657, 29172, 476, 276, 4375, 276, 3487, 4083, 10039, 563, 3674, 18700, 25047, 13826, 2922, 888, 5445, 616, 3622, 8704, 1813, 540, 741, 4389, 11640, 543, 1317, 972, 568, 13385, 2230, 585, 513, 6671, 25047, 13826, 269, 21278, 18700, 25047, 322, 1162, 616, 9112, 547, 519, 2838, 6042, 602, 616, 2966, 547, 2285, 4313, 547, 519, 3593, 267, 1287, 18700, 25047, 322, 1162, 616, 9985, 2922, 563, 1432, 568, 1863, 1688, 5373, 888, 1432, 568, 5131, 8518, 14301, 286, 5131, 8518, 5373, 568, 519, 2702, 547, 2721, 1945, 1510, 4470, 593, 7405, 610, 1945, 3116, 547, 2721, 269, 1284, 3391, 519, 5373, 1184, 609, 1152, 938, 1688, 267, 543, 621, 5673, 593, 938, 22423, 1983, 269, 0, 17220, 4521, 6799, 513, 2875, 25700, 1935, 547, 519, 1641, 282, 5693, 2854, 609, 1875, 28921, 2296, 18702, 1053, 538, 2247, 267, 513, 2039, 540, 1565, 2934, 5031, 519, 2127, 540, 7521, 543, 5000, 1053, 547, 4497, 9691, 609, 1883, 13882, 563, 2005, 2488, 3102, 543, 13801, 3795, 540, 519, 3844, 2152, 538, 1857, 3486, 1876, 267, 1818, 713, 606, 4998, 1837, 585, 1053, 2921, 2110, 267, 2606, 6030, 693, 3864, 1876, 1153, 1873, 603, 2312, 543, 3015, 3137, 540, 519, 4295, 2035, 20136, 1837, 3217, 513, 2565, 5133, 593, 1585, 3344, 540, 3486, 1876, 267, 10962, 519, 27900, 543, 2127, 540, 7521, 1510, 14322, 1053, 262, 1991, 1702, 540, 519, 3584, 5941, 538, 606, 2653, 3562, 17000, 2511, 563, 2467, 616, 5885, 1565, 2934, 267, 1519, 3844, 2152, 10833, 267, 3184, 24096, 267, 5227, 2542, 267, 543, 4901, 2055, 5031, 519, 1898, 2798, 543, 5000, 1053, 547, 4497, 609, 519, 3656, 13882, 563, 19445, 12043, 543, 2200, 763, 3791, 7160, 568, 2139, 585, 1053, 543, 5238, 547, 6718, 538, 513, 3099, 540, 12043, 267, 543, 568, 6462, 676, 2228, 2200, 269, 5788, 634, 552, 26247, 3091, 513, 5985, 1995, 543, 10375, 1569, 2059, 609, 10342, 2645, 267, 12445, 2934, 543, 6402, 602, 2709, 3063, 1565, 1489, 281, 8940, 269, 2135, 5112, 3667, 9248, 16691, 16896, 27160, 9248, 6440, 10374, 2278, 27143, 10962, 519, 4295, 3584, 6440, 31876, 593, 16460, 519, 5999, 585, 17564, 693, 519, 1439, 540, 1142, 3184, 6440, 25103, 547, 824, 3486, 1876, 2200, 0, 763, 26302, 540, 595, 2120, 8822, 454, 28061, 7009, 577, 731, 568, 513, 14547, 543, 15197, 812, 267, 855, 646, 814, 513, 15265, 5728, 269, 26062, 1296, 3516, 267, 950, 646, 729, 32014, 543, 30779, 559, 612, 267, 646, 4421, 1010, 7385, 547, 513, 13743, 528, 269, 3767, 1352, 568, 3168, 585, 1864, 1586, 269, 4208, 286, 1656, 1018, 786, 4755, 950, 1352, 9060, 1864, 888, 347, 3682, 714, 341, 617, 14247, 546, 739, 1575, 534, 10573, 6395, 2008, 347, 296, 345, 323, 6072, 25155, 10573, 303, 792, 5459, 4065, 17290, 2008, 24171, 10434, 344, 729, 606, 2296, 29787, 543, 10564, 269, 589, 16972, 1483, 626, 538, 519, 2245, 540, 6723, 18379, 582, 267, 646, 729, 6766, 1312, 538, 1010, 9089, 543, 538, 1010, 6965, 676, 21434, 1143, 267, 2523, 5261, 6478, 29536, 269, 0, 295, 1551, 529, 7921, 267, 13698, 4534, 4653, 267, 4972, 540, 11094, 543, 7849, 8249, 630, 17584, 24520, 264, 14199, 595, 785, 344, 17566, 14480, 333, 8678, 8387, 689, 519, 12425, 8466, 543, 7467, 8189, 630, 15771, 10157, 264, 585, 513, 11428, 16008, 10223, 513, 1007, 3140, 15262, 602, 26549, 519, 6406, 1014, 11094, 17620, 630, 6717, 290, 264, 960, 547, 1020, 519, 19846, 331, 4400, 4133, 563, 763, 1007, 15262, 568, 693, 519, 13675, 547, 19846, 331, 10830, 3557, 5244, 267, 1141, 595, 6717, 2818, 693, 6682, 1186, 13698, 590, 10422, 11607, 279, 543, 13698, 590, 10422, 11607, 1428, 3459, 4070, 593, 519, 19846, 331, 10830, 1234, 920, 1049, 23227, 566, 9351, 476, 10436, 1296, 3516, 593, 5147, 476, 272, 563, 763, 19846, 331, 4400, 4133, 1788, 729, 2565, 1317, 519, 1858, 1185, 1044, 10969, 730, 676, 17717, 267, 5755, 5599, 543, 4057, 26216, 267, 543, 6694, 2853, 602, 30701, 519, 3037, 543, 5251, 563, 14881, 993, 20938, 547, 8956, 519, 8978, 7418, 540, 519, 6406, 1014, 11094, 17620, 538, 519, 19846, 331, 4400, 4133, 2223, 14480, 333, 1767, 269, 968, 2171, 1131, 711, 723, 19846, 331, 10830, 3557, 5244, 543, 824, 1883, 16351, 2127, 2066, 12425, 1510, 519, 960, 540, 519, 595, 6717, 543, 519, 13710, 3609, 547, 948, 9156, 1106, 519, 4279, 12870, 269, 901, 6288, 543, 519, 9371, 540, 519, 595, 6717, 616, 513, 15266, 547, 1018, 568, 2009, 950, 649, 2508, 3785, 602, 4225, 519, 1604, 543, 16351, 3255, 4799, 17442, 675, 331, 10830, 1234, 920, 1049, 23227, 566, 9351, 729, 6192, 538, 476, 3707, 272, 269, 898, 2663, 2968, 19846, 331, 10830, 3557, 5244, 476, 3707, 276, 563, 763, 595, 6717, 779, 960, 1869, 24889, 693, 519, 476, 275, 267, 6187, 273, 14092, 516, 6288, 267, 799, 2882, 519, 4190, 476, 8287, 14092, 516, 19846, 331, 10830, 8235, 563, 763, 19846, 331, 10830, 4460, 518, 849, 6257, 519, 1764, 540, 519, 595, 6717, 538, 12425, 269, 27819, 476, 4198, 267, 1822, 2367, 941, 19801, 693, 476, 14625, 595, 6717, 13122, 2066, 519, 1455, 17314, 563, 17829, 24767, 2818, 12630, 17542, 540, 4054, 267, 19345, 909, 25825, 267, 10692, 11642, 267, 3710, 9897, 543, 13123, 267, 543, 865, 1454, 811, 4534, 782, 540, 799, 9927, 519, 7733, 543, 16351, 2127, 538, 12425, 563, 10527, 12425, 8466, 4460, 518, 5358, 568, 4440, 519, 1034, 7298, 540, 12425, 8466, 1299, 7467, 8189, 779, 3292, 2223, 1767, 11682, 10157, 15445, 10615, 1656, 16699, 13722, 344, 269, 968, 763, 19846, 331, 10830, 3557, 5244, 15262, 26082, 936, 476, 273, 267, 4335, 5432, 4544, 543, 4154, 12508, 602, 7001, 519, 3965, 540, 1004, 267, 4025, 267, 2621, 267, 543, 10124, 602, 723, 4299, 519, 2729, 540, 6755, 985, 10944, 2103, 936, 519, 5553, 2094, 5261, 24282, 8547, 1010, 20448, 3034, 763, 15262, 4967, 602, 24767, 2818, 12725, 12913, 519, 968, 3000, 2163, 531, 9028, 892, 540, 3384, 19846, 331, 10830, 689, 1762, 2367, 945, 1185, 4986, 855, 3710, 865, 1454, 563, 763, 595, 6717, 729, 3964, 538, 476, 4350, 274, 547, 948, 2709, 3255, 547, 1762, 2367, 1310, 519, 4279, 12870, 543, 835, 540, 519, 10782, 2804, 15125, 5281, 538, 938, 4182, 779, 1686, 563, 301, 14260, 267, 5176, 476, 274, 2929, 31655, 941, 6964, 676, 519, 595, 6717, 2394, 519, 1982, 8694, 538, 476, 3707, 273, 269, 4706, 2804, 267, 1514, 267, 543, 2825, 1764, 941, 15747, 538, 519, 772, 2529, 269, 6450, 15929, 689, 519, 4279, 12870, 563, 8448, 16351, 17431, 2127, 538, 12425, 3769, 9791, 12928, 984, 267, 670, 1157, 800, 14840, 267, 3943, 15880, 267, 543, 681, 8829, 517, 10830, 563, 5472, 616, 1631, 1533, 11614, 7064, 547, 519, 1646, 689, 519, 595, 6717, 563, 9596, 811, 827, 519, 595, 6717, 689, 9823, 24520, 3896, 563, 300, 3633, 8656, 28132, 16898, 281, 24380, 2917, 20484, 267, 476, 278, 1704, 268, 279, 6507, 268, 277, 4029, 276, 454, 258, 1948, 1948, 0, 2690, 1312, 13409, 268, 543, 5182, 10767, 560, 10276, 878, 1117, 6090, 267, 5444, 4082, 2418, 2799, 31085, 609, 606, 2333, 538, 519, 540, 25862, 610, 5182, 10767, 560, 2281, 538, 519, 23399, 269, 634, 5276, 9756, 14170, 941, 4830, 540, 519, 6708, 547, 799, 6090, 941, 6829, 538, 519, 6986, 13409, 543, 5182, 10767, 560, 1591, 2516, 563, 1607, 5267, 602, 589, 4052, 946, 540, 519, 4466, 602, 29208, 568, 5276, 568, 547, 5094, 519, 13973, 727, 540, 513, 1591, 1895, 602, 3568, 2281, 689, 1114, 2010, 883, 922, 1591, 15178, 3334, 269, 32114, 267, 585, 1383, 267, 513, 1979, 10004, 4055, 1895, 6828, 589, 5627, 513, 7848, 540, 1079, 1591, 2010, 267, 7392, 476, 272, 543, 7392, 476, 273, 267, 607, 1134, 607, 513, 535, 9801, 1591, 1895, 6828, 645, 5627, 1152, 7392, 476, 272, 4675, 11915, 7612, 1284, 6999, 547, 3313, 519, 13973, 727, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2883, 3549, 267, 8492, 267, 1483, 10040, 30549, 720, 10909, 267, 17783, 1446, 4123, 543, 10685, 4123, 563, 25219, 1695, 8466, 8092, 12201, 454, 272, 269, 29078, 5069, 24258, 17719, 1107, 634, 29078, 5069, 24258, 17719, 267, 4092, 2282, 17865, 8235, 4975, 267, 18096, 267, 814, 1044, 11179, 24776, 2094, 476, 5002, 277, 585, 922, 7601, 269, 4653, 621, 568, 519, 27811, 1930, 268, 1584, 9553, 538, 519, 1158, 267, 7893, 476, 382, 378, 13304, 2620, 630, 663, 3395, 1040, 4706, 3977, 3800, 5111, 476, 1704, 2929, 9748, 540, 7601, 267, 476, 278, 1428, 9748, 540, 4154, 543, 476, 276, 267, 12010, 9748, 540, 8988, 12422, 269, 769, 476, 1220, 277, 267, 519, 29078, 5069, 24258, 17719, 729, 3743, 585, 519, 5599, 540, 1269, 272, 269, 279, 5479, 540, 1585, 8407, 563, 273, 269, 2506, 12568, 24258, 1107, 2506, 12568, 24258, 568, 4092, 2282, 17865, 8235, 4975, 538, 18096, 543, 729, 1713, 547, 519, 8129, 540, 18096, 1317, 621, 729, 972, 602, 26599, 976, 9411, 519, 17865, 8235, 9503, 538, 476, 7277, 278, 950, 789, 4956, 547, 18385, 7017, 538, 519, 1858, 269, 4256, 6205, 267, 5696, 662, 600, 8479, 267, 5143, 1010, 13794, 968, 1607, 568, 519, 1318, 1747, 1848, 1656, 865, 621, 729, 269, 4653, 267, 519, 666, 27267, 568, 6825, 676, 513, 3126, 540, 8978, 12508, 799, 2995, 519, 1650, 540, 519, 1686, 540, 2506, 12568, 24258, 563, 274, 269, 13527, 12384, 1107, 28210, 538, 17865, 8235, 4975, 267, 18096, 267, 13527, 12384, 568, 513, 1804, 1858, 540, 2244, 799, 2882, 519, 17865, 8235, 13527, 267, 21741, 1716, 12386, 8490, 543, 13909, 8065, 269, 634, 7623, 729, 6192, 538, 476, 6977, 274, 676, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 28233, 29513, 269, 769, 1840, 547, 519, 5656, 267, 519, 12406, 540, 519, 4009, 616, 1753, 547, 5402, 812, 545, 3293, 10651, 267, 4054, 543, 6972, 10092, 269, 13527, 12384, 24643, 6634, 540, 8436, 12422, 267, 1312, 26599, 976, 543, 1346, 530, 5109, 547, 1451, 811, 827, 519, 1686, 540, 835, 540, 519, 1034, 3532, 10764, 538, 519, 1158, 269, 0, 301, 788, 531, 814, 1044, 26164, 513, 1713, 4473, 538, 8882, 1663, 27833, 2665, 936, 519, 2063, 1906, 4374, 269, 769, 1249, 267, 14798, 814, 759, 584, 325, 3166, 538, 18310, 2094, 519, 1376, 540, 1492, 1032, 476, 1708, 272, 269, 634, 2034, 5951, 540, 519, 11452, 568, 711, 2943, 936, 538, 18310, 267, 2495, 14798, 543, 519, 11452, 616, 8195, 21883, 538, 519, 2197, 267, 610, 972, 568, 513, 834, 339, 13388, 2438, 8487, 763, 2165, 834, 339, 13388, 2438, 257, 4016, 547, 519, 12242, 3463, 540, 513, 4049, 14798, 12176, 593, 1283, 540, 519, 5046, 268, 866, 6855, 563, 288, 7008, 540, 2395, 3516, 267, 513, 476, 3953, 4458, 6040, 30513, 10272, 519, 8611, 16758, 540, 519, 2672, 330, 32057, 1690, 23427, 543, 29956, 8376, 11233, 630, 306, 2316, 291, 295, 264, 609, 513, 1686, 540, 9221, 20316, 267, 11563, 1928, 267, 8611, 267, 15677, 543, 11522, 269, 2701, 5433, 2566, 267, 4160, 543, 4250, 1310, 2348, 2589, 2147, 547, 1346, 540, 2910, 309, 268, 9517, 268, 866, 269, 2701, 267, 2705, 25722, 6479, 2942, 585, 16568, 17336, 268, 476, 273, 7474, 3123, 5046, 268, 866, 563, 763, 2278, 15695, 519, 3461, 547, 979, 585, 606, 14798, 3644, 1449, 267, 799, 6038, 4951, 513, 2318, 1267, 630, 8882, 1663, 27833, 645, 1916, 1103, 1776, 3236, 267, 513, 1920, 10272, 519, 590, 2316, 291, 295, 609, 7920, 4250, 540, 2910, 309, 268, 9517, 268, 866, 1310, 782, 7622, 2818, 2919, 8611, 267, 11522, 543, 15319, 11563, 563, 5445, 267, 2705, 267, 7318, 2942, 4278, 823, 585, 16568, 268, 3213, 309, 268, 273, 269, 1358, 849, 5555, 7318, 2318, 585, 519, 14798, 3644, 563, 4322, 616, 1175, 513, 1906, 1806, 540, 513, 3510, 540, 1071, 2275, 597, 27218, 540, 14798, 3644, 543, 11452, 538, 18310, 269, 21452, 267, 519, 2278, 814, 2938, 930, 1004, 7783, 609, 1312, 519, 8290, 563, 6624, 3744, 3494, 602, 621, 568, 811, 2693, 602, 609, 1312, 8290, 3468, 532, 519, 1482, 1268, 693, 519, 1482, 942, 267, 519, 10335, 540, 519, 7929, 4576, 786, 581, 3152, 563, 23873, 3173, 723, 1336, 602, 519, 1981, 540, 2669, 811, 982, 23060, 585, 1004, 945, 7318, 2318, 585, 1312, 519, 14798, 3644, 543, 11452, 267, 3379, 547, 519, 11452, 4805, 269, 11048, 267, 865, 2484, 267, 519, 2278, 814, 711, 4767, 811, 4049, 2589, 540, 7929, 4576, 538, 891, 546, 1302, 29795, 539, 1004, 267, 4352, 513, 1164, 1377, 540, 28858, 1058, 581, 9738, 538, 519, 4947, 2395, 538, 1931, 547, 1174, 519, 2068, 6364, 610, 4791, 2175, 563, 10376, 1032, 267, 18310, 32625, 1079, 12405, 540, 14798, 3644, 1107, 14140, 569, 1282, 5130, 5336, 1105, 267, 543, 2034, 569, 538, 519, 3275, 540, 5147, 5025, 1872, 755, 563, 2414, 1250, 9983, 267, 2705, 267, 2063, 1032, 267, 972, 941, 3592, 1100, 2770, 2534, 538, 18310, 607, 1134, 607, 538, 824, 2694, 540, 519, 1158, 269, 769, 1249, 267, 2063, 1032, 267, 3744, 1185, 4397, 547, 1294, 5595, 8373, 540, 11452, 543, 14798, 8290, 1282, 519, 2770, 4005, 267, 29805, 519, 834, 339, 13388, 2438, 8487, 1103, 18310, 267, 519, 14798, 3644, 814, 1500, 513, 2097, 3724, 2094, 519, 1376, 540, 519, 1032, 476, 1708, 272, 269, 3683, 519, 2250, 1906, 4374, 267, 18310, 814, 1044, 26164, 14798, 3644, 3968, 3592, 5595, 538, 1297, 693, 5111, 1079, 22173, 11996, 269, 14118, 27833, 1826, 589, 543, 1826, 645, 616, 1373, 9571, 538, 18310, 563, 4263, 1459, 267, 670, 274, 3644, 602, 12851, 547, 1826, 589, 14798, 267, 2442, 569, 1634, 607, 15173, 15158, 2770, 267, 568, 4922, 21883, 538, 18310, 269, 21452, 267, 670, 272, 301, 272, 335, 323, 332, 6021, 3644, 267, 799, 12851, 547, 1826, 589, 14798, 543, 849, 1634, 607, 2220, 710, 2770, 267, 814, 711, 1044, 9571, 865, 2484, 269, 4210, 710, 2770, 630, 295, 272, 301, 268, 476, 272, 335, 323, 332, 6021, 264, 543, 15173, 15158, 2770, 630, 295, 274, 264, 723, 1044, 8195, 21883, 1282, 519, 14798, 12405, 538, 18310, 563, 13911, 645, 14798, 3644, 814, 2799, 3648, 538, 519, 2063, 1079, 4374, 269, 898, 568, 5258, 883, 1079, 1899, 1137, 1634, 607, 834, 312, 600, 698, 1092, 257, 543, 834, 309, 1112, 18319, 2668, 19402, 1631, 267, 3592, 782, 14798, 645, 8290, 1336, 538, 18310, 4866, 547, 519, 834, 309, 1112, 18319, 257, 22871, 269, 589, 1906, 1826, 645, 14798, 8290, 616, 9444, 540, 834, 309, 1112, 18319, 257, 6862, 834, 312, 600, 698, 1092, 257, 1899, 1137, 267, 2495, 513, 1007, 22871, 540, 1826, 645, 14798, 3644, 1522, 581, 6932, 538, 18310, 563, 10702, 2090, 267, 2705, 267, 616, 11562, 5896, 547, 2697, 519, 1007, 3644, 543, 922, 2009, 1764, 593, 6669, 7145, 563, 763, 3017, 1063, 5046, 268, 866, 543, 14798, 8290, 3112, 581, 1500, 9003, 1759, 593, 4791, 2589, 269, 27009, 267, 1004, 3494, 602, 1169, 11522, 610, 8611, 568, 513, 10835, 540, 5046, 268, 866, 267, 799, 568, 4929, 2790, 610, 5626, 4713, 269, 1306, 513, 1267, 267, 2043, 945, 1020, 2770, 6438, 2589, 4043, 547, 4250, 2669, 1813, 547, 2910, 309, 268, 9517, 268, 866, 8374, 1317, 1360, 5063, 18310, 814, 4810, 519, 4666, 31586, 2034, 5951, 540, 519, 11452, 267, 799, 729, 676, 2484, 519, 10782, 543, 3833, 6397, 610, 20437, 563, 763, 29920, 5832, 5114, 630, 303, 10135, 264, 2029, 568, 3730, 538, 1114, 11868, 1063, 519, 2770, 543, 2910, 309, 268, 9517, 268, 866, 269, 1323, 4977, 7020, 540, 8290, 568, 1898, 585, 3617, 5646, 18522, 543, 2126, 269, 19738, 2029, 568, 1631, 2139, 538, 782, 16899, 540, 18310, 563, 8310, 1032, 267, 14798, 3644, 1185, 3592, 20374, 267, 7303, 513, 1761, 1000, 785, 2438, 3510, 5001, 563, 763, 18232, 14583, 540, 519, 11452, 602, 8507, 538, 513, 14686, 2034, 5951, 568, 1869, 21883, 538, 18310, 267, 1247, 14798, 3644, 814, 849, 1044, 2810, 13497, 585, 519, 2063, 7008, 540, 4374, 269, 898, 4667, 602, 519, 18232, 14583, 543, 14798, 3644, 666, 1071, 2275, 597, 1529, 622, 8195, 693, 513, 2016, 1747, 543, 942, 1974, 267, 2870, 513, 1000, 785, 2438, 3510, 563, 6097, 547, 519, 4095, 3377, 2923, 267, 538, 16156, 267, 476, 6078, 2600, 540, 519, 17013, 4080, 693, 2547, 835, 4759, 540, 741, 7622, 4867, 814, 2770, 6438, 2589, 563, 1103, 824, 1913, 267, 14798, 3644, 568, 7839, 538, 16156, 2749, 267, 543, 5310, 1256, 10825, 547, 824, 2694, 540, 519, 2197, 563, 2005, 568, 26656, 4304, 602, 519, 18232, 14583, 729, 1101, 9571, 538, 3127, 602, 3366, 547, 513, 14686, 2034, 5951, 540, 519, 11452, 563, 18773, 814, 1631, 1831, 519, 8789, 14583, 538, 519, 2475, 543, 519, 5177, 269, 898, 568, 267, 3976, 267, 3810, 2693, 602, 513, 1000, 785, 2438, 949, 2049, 1282, 519, 14232, 14798, 4005, 563, 2414, 2040, 909, 267, 18310, 568, 5310, 1851, 519, 1906, 2477, 1141, 513, 1000, 785, 2438, 4161, 568, 1373, 5185, 269, 2311, 1459, 267, 621, 568, 711, 2312, 952, 513, 1000, 785, 2438, 3510, 666, 1711, 513, 8338, 3510, 982, 5046, 268, 866, 29671, 269, 11048, 267, 621, 568, 2312, 602, 4250, 267, 4160, 543, 11784, 616, 1454, 2362, 10838, 1346, 945, 4159, 2770, 6438, 2589, 267, 543, 1072, 1416, 4600, 723, 7411, 23243, 1063, 519, 1079, 8290, 269, 6270, 2175, 949, 2049, 538, 2477, 1141, 519, 14798, 4005, 568, 3728, 16042, 563, 7804, 15722, 568, 12751, 267, 11916, 3194, 5149, 267, 2672, 330, 32057, 1690, 23427, 543, 29956, 8376, 11233, 454, 13911, 645, 14798, 3644, 814, 2799, 3648, 538, 519, 2063, 1079, 4374, 269, 19402, 1631, 267, 3592, 782, 14798, 645, 8290, 1336, 538, 18310, 4866, 547, 519, 834, 309, 1112, 18319, 257, 22871, 267, 711, 519, 834, 312, 600, 698, 1092, 257, 835, 269, 589, 1906, 1826, 645, 14798, 8290, 616, 9444, 540, 834, 309, 1112, 18319, 257, 6862, 834, 312, 600, 698, 1092, 257, 1899, 1137, 267, 2495, 513, 1007, 22871, 540, 1826, 645, 14798, 3644, 1522, 581, 6932, 538, 18310, 454, 288, 4528, 540, 713, 2376, 5526, 538, 519, 1820, 593, 4864, 476, 2190, 476, 1708, 272, 267, 540, 634, 22615, 18885, 8648, 269, 0, 2467, 616, 1100, 3742, 8100, 538, 713, 2376, 563, 290, 548, 628, 571, 13408, 476, 5038, 2249, 540, 28033, 610, 28301, 4054, 610, 19211, 267, 1336, 538, 513, 771, 31019, 3892, 1360, 2147, 547, 602, 540, 3131, 22855, 267, 609, 835, 8998, 540, 4763, 538, 9456, 543, 25878, 5607, 630, 297, 3253, 547, 1715, 19892, 1070, 1776, 538, 25878, 3345, 3013, 267, 6239, 3013, 543, 9456, 3162, 3013, 267, 543, 835, 2249, 593, 17214, 4275, 269, 634, 2030, 568, 3622, 4552, 344, 267, 519, 24827, 8795, 538, 1826, 689, 2241, 547, 588, 749, 622, 610, 3673, 545, 1194, 269, 634, 3762, 616, 2356, 3003, 610, 7202, 622, 267, 519, 5694, 532, 1373, 1034, 14733, 538, 11174, 2371, 282, 519, 6281, 15532, 616, 1232, 584, 1370, 593, 519, 4571, 1026, 269, 634, 4870, 2803, 12412, 568, 12363, 267, 2356, 513, 22072, 2241, 5198, 1889, 267, 855, 3006, 609, 5198, 6996, 1373, 3812, 689, 519, 5580, 6978, 4949, 2812, 593, 519, 9496, 547, 2285, 513, 811, 7623, 4870, 2803, 12412, 267, 4171, 11460, 568, 606, 1271, 1808, 1915, 269, 4746, 2556, 585, 8446, 616, 519, 536, 847, 338, 267, 799, 2356, 2887, 3533, 267, 543, 519, 17114, 540, 519, 7895, 545, 1564, 269, 634, 8768, 568, 2356, 3043, 630, 11484, 31531, 8645, 610, 5835, 880, 264, 543, 29549, 630, 11484, 31531, 5667, 1417, 539, 1040, 634, 1608, 344, 343, 568, 2947, 2000, 984, 539, 267, 519, 10981, 525, 4742, 31429, 1881, 538, 4829, 269, 634, 1351, 3326, 320, 568, 849, 2947, 2000, 984, 539, 267, 519, 24968, 2356, 1373, 1863, 855, 3006, 8087, 693, 519, 3490, 610, 585, 909, 547, 835, 21017, 540, 741, 3259, 267, 1073, 990, 622, 547, 838, 987, 3634, 543, 2901, 3003, 610, 1585, 569, 547, 582, 1117, 610, 535, 2590, 539, 267, 3006, 609, 513, 524, 559, 5573, 14345, 693, 741, 30085, 269, 634, 26176, 839, 616, 5116, 538, 1079, 627, 528, 3149, 267, 543, 519, 2511, 814, 1614, 10981, 525, 3056, 547, 513, 28886, 17369, 749, 622, 9065, 776, 269, 634, 4829, 568, 513, 4552, 344, 1016, 6921, 984, 983, 610, 5594, 1614, 21758, 23555, 630, 306, 548, 10179, 476, 3422, 278, 1916, 290, 548, 628, 571, 568, 513, 3730, 12593, 585, 519, 4677, 1141, 2144, 545, 17675, 2371 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2427, 540, 519, 1957, 269, 4858, 4068, 568, 267, 547, 513, 1268, 945, 2833, 5075, 2530, 267, 1018, 9102, 1913, 616, 547, 7606, 945, 616, 8289, 539, 269, 8281, 7913, 7734, 543, 7395, 16383, 269, 4858, 4068, 543, 23866, 7335, 8281, 630, 289, 19181, 264, 568, 513, 1982, 6035, 676, 519, 2817, 7732, 6796, 543, 4858, 4068, 4659, 7732, 602, 2636, 29123, 547, 25274, 4647, 1312, 8301, 543, 552, 5174, 571, 4068, 10643, 689, 606, 3573, 4015, 540, 10643, 563, 763, 715, 305, 7246, 2488, 513, 7924, 4336, 10834, 519, 1377, 693, 799, 1820, 19380, 7145, 543, 4858, 4068, 610, 513, 4999, 540, 1820, 543, 4858, 4068, 1058, 581, 6964, 585, 3872, 5301, 563, 12606, 19639, 618, 585, 2542, 9102, 2909, 850, 21768, 18510, 454, 763, 715, 305, 7246, 568, 519, 1101, 543, 1152, 1382, 2861, 267, 13387, 4879, 1907, 540, 922, 2186, 585, 519, 8446, 540, 269, 5502, 267, 2575, 2909, 4068, 3197, 616, 2854, 538, 2909, 4068, 3515, 1210, 2027, 12043, 865, 602, 789, 616, 2653, 547, 1224, 543, 2285, 519, 2909, 4068, 5467, 782, 519, 1344, 602, 568, 3254, 11617, 593, 519, 5234, 563, 763, 1820, 2575, 6698, 585, 1579, 12028, 267, 971, 607, 519, 7066, 1076, 7581, 325, 543, 30464, 7581, 325, 267, 616, 849, 711, 1031, 538, 2909, 4068, 563, 307, 23813, 781, 4858, 4068, 645, 785, 2044, 3091, 11613, 1863, 2835, 538, 4858, 4068, 585, 9420, 610, 1970, 8686, 1707, 1453, 269, 634, 2835, 616, 585, 519, 1453, 547, 1832, 543, 2445, 585, 607, 1279, 607, 789, 1616, 873, 563, 20373, 19639, 618, 585, 2542, 9102, 2909, 850, 7300, 454, 14611, 13935, 513, 23831, 5399, 540, 1820, 270, 3630, 4068, 2835, 607, 1134, 607, 2909, 4068, 2835, 585, 918, 1700, 272, 909, 547, 476, 1321, 628, 3446, 2542, 543, 1719, 1377, 269, 7734, 616, 544, 9229, 547, 519, 1126, 779, 1753, 543, 849, 547, 3506, 269, 13555, 519, 1977, 11059, 8750, 585, 32559, 5753, 543, 20661, 538, 1603, 585, 606, 3498, 563, 29423, 1470, 1299, 4858, 4068, 667, 14709, 3487, 517, 779, 22569, 1588, 7732, 543, 519, 1977, 24614, 5600, 585, 519, 32559, 267, 5549, 667, 14709, 3487, 517, 779, 22569, 1588, 7732, 630, 7894, 6579, 264, 814, 24574, 1229, 609, 1977, 24614, 5600, 585, 519, 32559, 267, 5549, 563, 263, 4338, 295, 264, 547, 1118, 1082, 540, 519, 8748, 2835, 538, 1200, 1982, 267, 2139, 538, 2909, 4068, 543, 8301, 3898, 865, 602, 1762, 9420, 543, 11617, 15176, 1453, 666, 849, 4324, 689, 891, 8748, 269, 4858, 4068, 9102, 585, 519, 8289, 539, 949, 723, 834, 3333, 20760, 15956, 257, 538, 519, 8900, 5624, 267, 547, 948, 1004, 1294, 519, 7158, 540, 519, 15956, 811, 3362, 563, 24154, 4068, 585, 519, 9420, 4465, 1405, 723, 14692, 15956, 269, 1677, 1224, 4858, 4068, 998, 5905, 267, 596, 991, 21230, 1434, 9416, 8417, 269, 4107, 4079, 723, 2614, 9416, 8417, 547, 1224, 2433, 918, 563, 19530, 7146, 5174, 571, 4068, 7734, 538, 1133, 4186, 26167, 4858, 4068, 630, 514, 772, 292, 289, 264, 630, 5379, 264, 6520, 16186, 281, 20976, 1493, 6502, 1280, 4098, 3988, 269, 3143, 5961, 267, 855, 519, 1133, 4186, 26167, 4858, 4068, 543, 1820, 1913, 616, 20083, 1899, 585, 1899, 547, 4217, 538, 519, 1565, 1184, 563, 5472, 540, 519, 2835, 538, 713, 7121, 616, 538, 1133, 1881, 2296, 4858, 4068, 630, 16604, 289, 1040, 25873, 7179, 7146, 5174, 571, 4068, 7734, 538, 269, 594, 1131, 2648, 519, 1728, 19282, 1433, 1728, 2096, 985, 585, 10847, 543, 11812, 547, 581, 593, 536, 731, 269, 1703, 568, 1100, 813, 2901, 543, 594, 1223, 946, 1804, 1820, 610, 2909, 4068, 269, 15576, 773, 14339, 6767, 4239, 334, 693, 993, 269, 19743, 4911, 11253, 267, 715, 11862, 1281, 711, 723, 513, 2909, 4068, 16606, 540, 519, 968, 763, 670, 2096, 2522, 585, 654, 11208, 543, 9919, 30503, 1674, 2223, 543, 568, 23387, 540, 922, 8244, 11992, 563, 763, 1977, 24614, 5600, 585, 519, 32559, 568, 4092, 538, 8402, 6807, 267, 17996, 267, 1141, 621, 814, 13234, 2094, 4643, 513, 3643, 547, 938, 2189, 4087, 2221, 269, 9603, 547, 5046, 267, 938, 7467, 543, 31543, 570, 2293, 723, 1044, 17303, 17735, 269, 1403, 596, 1131, 899, 547, 1451, 2909, 4068, 2575, 7258, 13465, 610, 606, 6293, 267, 5225, 3643, 938, 2985, 593, 2909, 4068, 2575, 20131, 2835, 563, 2252, 596, 1616, 547, 1451, 547, 834, 515, 541, 257, 519, 6698, 538, 707, 2247, 267, 543, 960, 593, 8357, 5314, 1983, 538, 513, 21783, 1259, 267, 2119, 281, 1323, 4985, 547, 8535, 585, 519, 32559, 9906, 267, 610, 589, 6092, 538, 4858, 4068, 8535, 7335, 267, 20668, 594, 543, 4083, 563, 310, 554, 850, 972, 616, 1082, 3506, 585, 18997, 9420, 1004, 267, 1360, 1906, 16491, 873, 609, 519, 1983, 602, 1131, 5512, 873, 547, 1831, 513, 851, 540, 519, 13416, 2486, 543, 3565, 547, 519, 4346, 540, 519, 2197, 269, 14600, 571, 808, 344, 1054, 328, 267, 513, 1032, 6040, 13539, 1759, 538, 10854, 531, 648, 267, 1568, 14311, 593, 713, 3390, 563, 6097, 547, 873, 267, 972, 616, 606, 6059, 476, 3393, 2929, 9420, 1004, 538, 519, 1158, 267, 856, 540, 799, 835, 11607, 10812, 20724, 3041, 12778, 781, 4604, 834, 24154, 4068, 8535, 8943, 2580, 4553, 676, 1004, 593, 26964, 563, 8450, 811, 2093, 827, 4858, 4068, 267, 8535, 267, 6250, 1302, 15176, 1453, 20382, 12991, 11862, 32695, 630, 29423, 1470, 264, 543, 4858, 4068, 7734, 32695, 630, 7596, 1470, 264, 543, 2909, 4068, 2835, 676, 13875, 267, 4647, 762, 2835, 543, 17476, 3842, 18376, 610, 5985, 813, 267, 10855, 7044, 267, 543, 8301, 1404, 3724, 3937, 616, 2139, 585, 10211, 2443, 1863, 540, 5279, 2443, 547, 2836, 4613, 2103, 8572, 547, 1224, 6671, 1820, 1813, 547, 513, 3308, 610, 2168, 9659, 563, 8340, 707, 715, 11862, 7732, 563, 1103, 556, 717, 5435, 630, 3422, 278, 994, 276, 3199, 9664, 273, 269, 10695, 15406, 24487, 273, 20042, 26705, 281, 21768, 18510, 454, 292, 8656, 12326, 8261, 454, 6812, 275, 9664, 274, 269, 3374, 15406, 277, 1556, 280, 20042, 26705, 281, 21768, 18510, 454, 9928, 2714, 880, 6469, 6429, 563, 4375, 273, 9664, 272, 269, 3445, 15406, 279, 5780, 274, 20042, 26705, 281, 21768, 18510, 454, 7597, 277, 9664, 272, 269, 5780, 15406, 276, 4510, 278, 20042, 26705, 281, 21768, 18510, 454, 23841, 9664, 271, 269, 6872, 15406, 278, 1724, 276, 20042, 26705, 281, 21768, 18510, 454, 291, 5519, 560, 4328, 18869, 476, 12010, 271, 454, 29045, 9664, 272, 269, 7871, 15406, 13975, 272, 20042, 26705, 281, 21768, 18510, 454, 6224, 8008, 2562, 623, 24359, 11070, 2464, 645, 298, 270, 7374, 590, 6224, 7644, 300, 2207, 25783, 19489, 300, 23814, 11581, 296, 16739, 630, 295, 531, 15182, 731, 9906, 623, 10730, 7732, 994, 275, 4792, 9664, 273, 269, 2641, 15406, 278, 4200, 274, 20042, 26705, 281, 21768, 18510, 454, 6924, 272, 9664, 272, 269, 7597, 15406, 11260, 276, 20042, 26705, 281, 21768, 18510, 454, 30999, 738, 1143, 543, 2413, 2257, 454, 24374, 9664, 273, 269, 1428, 15406, 279, 5038, 272, 20042, 26705, 281, 21768, 18510, 454, 295, 17639, 538, 13280, 454, 32133, 9664, 274, 269, 6795, 15406, 22430, 275, 20042, 26705, 281, 21768, 18510, 454, 17445, 687, 585, 5986, 676, 10136, 538, 3786, 543, 6413, 454, 18231, 9664, 275, 269, 4649, 15406, 5038, 274, 273, 20042, 26705, 281, 21768, 18510, 454, 291, 5315, 540, 6355, 16301, 454, 27151, 9664, 274, 269, 8064, 15406, 4281, 276, 272, 20042, 26705, 281, 21768, 18510, 454, 278, 6078, 9664, 275, 269, 8660, 15406, 3445, 280, 271, 20042, 26705, 281, 21768, 18510, 454, 25284, 2719, 538, 623, 3008, 290, 3201, 454, 27944, 9664, 271, 269, 4792, 15406, 280, 4343, 278, 20042, 26705, 281, 21768, 18510, 454, 20112, 543, 19987, 538, 18518, 454, 25148, 9664, 272, 269, 9032, 15406, 274, 4281, 276, 20042, 26705, 281, 21768, 18510, 454, 24834, 6672, 540, 5216, 954, 29728, 6735, 17523, 454, 5379, 280, 9664, 273, 269, 1691, 15406, 9032, 277, 275, 20042, 26705, 281, 21768, 18510, 454, 6795, 278, 9664, 273, 269, 4366, 15406, 279, 5392, 20042, 26705, 281, 21768, 18510, 454, 23562, 4868, 8168, 25803, 454, 5038, 273, 9664, 275, 269, 1704, 15406, 279, 4029, 272, 20042, 26705, 281, 21768, 18510, 454, 4366, 275, 9664, 271, 269, 3066, 15406, 26316, 280, 20042, 26705, 281, 21768, 18510, 454, 288, 13961, 1868, 324, 3004, 3022, 344, 454, 3607, 275, 9664, 274, 269, 7906, 15406, 5325, 273, 275, 20042, 26705, 281, 21768, 18510, 0, 9989, 519, 30302, 1847, 888, 7628, 6379, 267, 519, 30302, 7575, 607, 519, 19786, 21018, 543, 9428, 563, 2005, 779, 3339, 585, 519, 30302, 547, 581, 1970, 538, 519, 19786, 538, 2038, 6379, 563, 2026, 519, 6379, 5170, 543, 519, 19786, 21018, 267, 519, 30302, 3335, 7575, 547, 519, 1283, 540, 519, 19786, 10756, 9989, 519, 30302, 723, 519, 1482, 26470, 607, 4816, 888, 2467, 616, 513, 2603, 540, 1973, 8043, 538, 513, 9176, 4807, 779, 17737, 267, 519, 4816, 779, 2295, 25588, 1373, 1175, 835, 269, 634, 30302, 849, 20512, 693, 519, 1482, 2557, 607, 519, 2295, 543, 519, 3993, 779, 1292, 16050, 8255, 2066, 519, 17737, 543, 602, 666, 849, 581, 13603, 909, 593, 513, 17585, 16980, 563, 1692, 2038, 666, 596, 5873, 519, 30302, 609, 513, 28576, 16980, 888, 288, 19341, 28576, 16980, 1449, 7363, 3217, 1747, 1282, 707, 2034, 959, 30478, 630, 933, 4060, 476, 1724, 547, 476, 2764, 540, 6379, 1040, 2368, 9755, 540, 693, 25571, 19341, 28576, 680, 619, 2161, 596, 949, 581, 2111, 547, 5873, 707, 4816, 779, 26470, 607, 2038, 607, 476, 279, 268, 1321, 4374, 540, 6379, 563, 1432, 1281, 519, 30302, 3280, 899, 609, 513, 588, 996, 24005, 888, 308, 614, 710, 6204, 742, 548, 610, 726, 659, 1581, 6204, 742, 548, 568, 513, 2571, 267, 25738, 3280, 4862, 1210, 513, 588, 996, 24005, 267, 2356, 538, 519, 2034, 959, 30478, 540, 6379, 630, 1724, 1700, 2764, 4374, 1040, 2560, 2201, 513, 19895, 738, 566, 267, 29897, 6204, 742, 548, 949, 1419, 581, 11821, 609, 1187, 545, 6204, 742, 548, 267, 799, 568, 513, 8325, 267, 627, 626, 1782, 3280, 602, 568, 15222, 748, 609, 519, 13942, 540, 519, 9087, 28127, 563, 1432, 3018, 1281, 519, 30302, 1106, 888, 1103, 4374, 476, 275, 547, 476, 276, 540, 2038, 6379, 267, 519, 19046, 7514, 560, 9428, 543, 10953, 1369, 519, 16298, 540, 519, 27042, 269, 634, 9018, 2281, 3914, 856, 547, 1106, 6402, 609, 519, 3993, 779, 1973, 3761, 269, 2991, 930, 942, 267, 789, 786, 1106, 519, 30302, 630, 12898, 19689, 1916, 1692, 666, 594, 2638, 1250, 4816, 779, 26470, 693, 1753, 888, 31282, 519, 17585, 16980, 593, 543, 7444, 2443, 2731, 7444, 2443, 1847, 621, 1472, 2394, 596, 666, 5873, 519, 26470, 269, 634, 4505, 621, 568, 538, 707, 6379, 267, 519, 2539, 596, 3580, 2693, 723, 547, 979, 269, 8347, 2630, 707, 17987, 7735, 269, 2142, 3222, 602, 596, 3580, 849, 5873, 707, 1378, 26470, 543, 519, 13942, 540, 606, 16050, 269, 0, 25889, 281, 7261, 339, 727, 6549, 21552, 630, 13967, 309, 264, 568, 513, 3056, 11763, 2014, 540, 11719, 545, 22907, 267, 1312, 538, 519, 5468, 540, 22787, 543, 829, 514, 7614, 3968, 267, 855, 1906, 3662, 3631, 2291, 547, 1353, 5778, 16467, 11365, 4093, 269, 901, 1353, 8947, 519, 1764, 540, 30564, 25647, 6477, 18328, 309, 630, 25897, 13967, 309, 264, 3968, 593, 8901, 1565, 543, 3965, 538, 513, 24261, 1216, 28618, 630, 300, 310, 300, 264, 2203, 269, 10613, 281, 1715, 9799, 4996, 1186, 941, 13934, 12499, 704, 32050, 958, 630, 328, 4877, 4700, 609, 513, 23633, 2699, 24638, 3940, 2389, 698, 3022, 13382, 13967, 309, 267, 610, 695, 600, 26912, 4327, 269, 2201, 2395, 476, 1428, 1700, 866, 2022, 3968, 630, 335, 269, 328, 13776, 4996, 1186, 941, 7318, 538, 519, 24448, 300, 269, 5164, 531, 13907, 941, 6027, 538, 1973, 543, 5160, 676, 11050, 19738, 630, 336, 303, 10135, 1070, 543, 2634, 5439, 6394, 693, 683, 23145, 10043, 941, 8947, 676, 1277, 1108, 543, 6375, 2129, 626, 17190, 269, 11778, 281, 966, 790, 8926, 630, 19091, 8598, 264, 729, 9571, 693, 1554, 476, 274, 533, 269, 328, 269, 538, 476, 278, 270, 279, 13934, 2831, 269, 7736, 268, 6716, 23425, 729, 4767, 267, 676, 7117, 303, 10135, 267, 538, 519, 5761, 267, 6797, 267, 543, 838, 22220, 269, 7131, 275, 25698, 630, 7374, 275, 266, 264, 543, 7131, 279, 25698, 630, 7374, 279, 266, 264, 570, 1591, 22467, 6233, 941, 1459, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2464, 29558, 5357, 454, 15045, 312, 24199, 661, 3008, 312, 717, 6938, 2316, 307, 11070, 292, 11553, 3722, 2316, 4753, 11123, 589, 27749, 32745, 5263, 8085, 670, 6865, 2464, 29558, 5357, 454, 2562, 309, 25492, 32745, 5263, 8085, 661, 288, 16249, 6730, 12327, 2207, 290, 30990, 5442, 15674, 22400, 670, 6865, 2464, 29558, 5357, 681, 5495, 2316, 20911, 454, 12552, 585, 16069, 676, 547, 1451, 811, 827, 6182, 520, 3363, 6657, 585, 23467, 1041, 619, 454, 2252, 596, 1131, 899, 811, 6209, 14820, 10593, 267, 4274, 18954, 4388, 267, 543, 1919, 547, 2161, 547, 519, 12543, 950, 789, 2307, 827, 32059, 596, 3580, 2648, 938, 4757, 1592, 2336, 2691, 596, 1129, 909, 596, 3580, 1205, 606, 12600, 9684, 596, 1863, 5174, 7417, 602, 779, 10691, 2139, 538, 938, 4199, 5399, 256, 9373, 707, 4757, 2232, 2630, 547, 6443, 519, 8414, 670, 633, 454, 296, 666, 1406, 7227, 547, 2671, 1250, 18954, 6791, 543, 14820, 6879, 14823, 2706, 335, 10183, 609, 596, 1142, 7160, 540, 5990, 645, 308, 313, 313, 269, 1284, 3580, 849, 10004, 827, 519, 2409, 594, 1031, 547, 10891, 267, 8430, 267, 543, 3992, 1544, 538, 1250, 18954, 609, 519, 13922, 621, 786, 948, 596, 723, 513, 6126, 554, 633, 1932, 269, 769, 519, 29291, 267, 968, 289, 2465, 892, 2386, 547, 2638, 856, 519, 1114, 2409, 540, 32059, 607, 1134, 607, 938, 476, 274, 2653, 2994, 585, 25794, 563, 1607, 3135, 568, 513, 4074, 540, 2648, 543, 786, 1332, 543, 1332, 269, 1772, 972, 513, 31054, 540, 519, 4303, 596, 1131, 899, 547, 1294, 12286, 286, 13555, 2974, 543, 649, 786, 798, 938, 1655, 547, 1118, 621, 4755, 256, 1284, 616, 19914, 596, 616, 1934, 543, 4126, 596, 2972, 1565, 543, 14120, 538, 707, 670, 4338, 303, 312, 7486, 292, 256, 0, 9303, 7595, 267, 2895, 1882, 3561, 454, 2710, 711, 8263, 1543, 9356, 1699, 454, 27023, 881, 1702, 267, 4507, 267, 610, 2853, 563, 295, 6865, 289, 7246, 298, 8991, 476, 272, 8863, 2969, 631, 2177, 31165, 267, 10790, 312, 476, 276, 267, 476, 3707, 272, 454, 263, 19489, 645, 4629, 4696, 290, 17129, 2475, 292, 10396, 14877, 994, 306, 18510, 297, 17614, 281, 834, 27237, 2464, 10396, 17676, 313, 5058, 661, 2752, 14877, 21598, 308, 3951, 306, 269, 476, 1556, 6176, 689, 519, 8433, 454, 1993, 15331, 853, 725, 267, 772, 907, 306, 6185, 6993, 563, 9336, 1032, 811, 3484, 3885, 616, 8380, 909, 1753, 268, 571, 2213, 1426, 834, 2421, 454, 16451, 4506, 269, 2311, 1101, 6705, 1031, 13792, 4859, 6140, 585, 5779, 269, 1809, 454, 852, 12997, 1082, 1114, 4677, 2472, 616, 11836, 519, 834, 15927, 19068, 563, 14722, 540, 519, 8549, 4972, 540, 11982, 543, 519, 1585, 3557, 454, 23024, 2939, 10473, 723, 6594, 16171, 547, 1451, 4010, 875, 547, 1205, 519, 454, 21129, 652, 13792, 2472, 269, 4653, 596, 666, 2328, 707, 3557, 4603, 6728, 454, 528, 2852, 547, 1451, 799, 8677, 6738, 538, 707, 1327, 1275, 616, 834, 12895, 585, 454, 16451, 4506, 269, 3509, 2276, 1631, 723, 1863, 834, 12712, 2280, 1231, 547, 2995, 596, 711, 1152, 827, 454, 19702, 7724, 267, 554, 583, 849, 827, 8600, 2472, 585, 16171, 267, 16171, 873, 2676, 663, 1210, 873, 1310, 16171, 269, 5131, 4506, 568, 519, 1034, 1110, 655, 1259, 547, 840, 8894, 338, 2925, 1426, 269, 634, 3744, 616, 1869, 1565, 1919, 827, 621, 269, 1924, 454, 9767, 991, 547, 1832, 538, 5905, 609, 873, 538, 1931, 547, 646, 909, 3562, 15082, 593, 16171, 454, 5278, 540, 519, 1101, 4677, 2472, 538, 519, 5614, 616, 1655, 585, 454, 16451, 4506, 269, 5682, 17112, 267, 607, 32651, 267, 543, 22229, 616, 1851, 519, 1034, 454, 16647, 983, 13792, 2472, 563, 9213, 1577, 781, 2015, 22229, 2073, 2094, 811, 22229, 616, 454, 325, 549, 7999, 982, 1022, 824, 4829, 267, 543, 2094, 3652, 585, 16171, 22229, 454, 732, 1318, 585, 1082, 824, 5613, 563, 303, 1157, 707, 15708, 950, 789, 2811, 693, 1175, 519, 1318, 3942, 585, 4189, 454, 719, 540, 1688, 269, 2334, 568, 519, 4341, 585, 782, 5613, 585, 16171, 267, 2687, 547, 454, 1492, 1715, 3840, 13749, 269, 1411, 917, 950, 513, 12450, 9440, 568, 4998, 585, 4189, 609, 454, 920, 600, 543, 4006, 269, 898, 781, 22691, 543, 2699, 782, 936, 282, 621, 781, 13035, 834, 8117, 6109, 543, 454, 338, 895, 269, 2334, 781, 950, 621, 781, 1655, 585, 16171, 269, 1715, 3840, 3744, 1867, 454, 7474, 796, 686, 701, 4829, 267, 610, 4829, 711, 22691, 782, 936, 267, 949, 6492, 5734, 614, 1310, 454, 16451, 4506, 267, 610, 949, 646, 2571, 543, 2182, 538, 9634, 269, 2201, 519, 824, 1688, 267, 4829, 454, 7474, 568, 1932, 22691, 4465, 1405, 798, 2901, 269, 634, 16171, 1184, 2571, 839, 621, 930, 8894, 6343, 269, 1403, 519, 4829, 568, 2571, 547, 2253, 609, 267, 621, 786, 581, 1660, 1506, 543, 6204, 6853, 454, 12898, 16171, 269, 1924, 3314, 2443, 4584, 15708, 610, 824, 5613, 693, 519, 1318, 454, 560, 720, 585, 4189, 856, 540, 1688, 952, 596, 1422, 317, 656, 873, 3501, 585, 16171, 563, 5472, 2090, 1397, 602, 4829, 8952, 922, 2681, 2073, 3337, 543, 8137, 454, 12895, 952, 13792, 609, 4006, 610, 4006, 1606, 597, 1575, 269, 589, 5394, 27205, 1575, 267, 610, 4006, 771, 8894, 338, 9407, 538, 4829, 10433, 267, 14014, 4829, 689, 519, 2011, 269, 634, 2011, 9397, 1524, 454, 1492, 8031, 540, 519, 4829, 543, 2242, 519, 2681, 543, 8137, 563, 6124, 3840, 3744, 2303, 476, 274, 1434, 2081, 547, 19068, 22229, 563, 3080, 1259, 568, 547, 20105, 610, 14299, 519, 15708, 267, 543, 1287, 19068, 609, 4006, 563, 5194, 1259, 568, 547, 4734, 519, 15708, 2898, 543, 19068, 609, 27205, 1575, 1547, 12846, 454, 534, 1278, 1259, 568, 547, 19068, 2898, 15708, 609, 4006, 4586, 293, 549, 7999, 30000, 610, 22872, 15708, 3180, 741, 8137, 3476, 982, 454, 1415, 824, 2186, 540, 13792, 12450, 9440, 267, 2161, 519, 1715, 3840, 3744, 269, 14730, 454, 1042, 267, 4396, 267, 25188, 8677, 616, 1655, 713, 1259, 269, 1677, 5965, 873, 267, 11547, 538, 454, 823, 1216, 543, 3819, 873, 267, 1373, 1360, 6297, 711, 547, 20015, 1047, 873, 538, 519, 605, 8894, 947, 269, 17179, 519, 11503, 267, 2759, 538, 10116, 21100, 267, 610, 14299, 538, 20453, 269, 5410, 454, 821, 11013, 540, 4006, 547, 1142, 476, 275, 6550, 540, 15708, 269, 17186, 519, 2759, 4829, 454, 628, 528, 5699, 609, 4006, 269, 10925, 538, 1612, 571, 742, 1441, 7047, 976, 543, 3382, 17401, 563, 10403, 2763, 693, 4642, 5232, 18278, 610, 2539, 563, 3086, 547, 19068, 2898, 15708, 538, 27205, 1575, 2073, 1101, 1118, 513, 5394, 4006, 8894, 663, 21226, 27205, 1575, 543, 3579, 621, 267, 25169, 15708, 538, 4672, 1216, 267, 3819, 873, 543, 454, 24525, 11503, 269, 9255, 519, 15708, 538, 7047, 976, 540, 8185, 1612, 571, 742, 1441, 1957, 8894, 4580, 267, 808, 650, 519, 4829, 909, 547, 513, 3368, 10759, 540, 519, 1283, 540, 519, 7047, 976, 269, 32449, 454, 517, 2614, 5394, 27205, 1575, 547, 3382, 519, 15708, 267, 543, 1869, 4734, 693, 2547, 606, 454, 324, 12915, 10759, 2230, 693, 519, 1283, 269, 19171, 519, 15004, 543, 19068, 693, 4642, 454, 19592, 4181, 610, 2539, 563, 306, 13610, 3079, 540, 27205, 1575, 593, 2898, 15708, 3947, 811, 10874, 787, 22286, 2948, 454, 8117, 2306, 519, 4829, 811, 1660, 1506, 269, 1403, 596, 946, 4006, 267, 13489, 519, 15708, 609, 454, 821, 21144, 628, 741, 2597, 540, 4006, 2394, 1034, 540, 519, 4006, 4744, 11510, 538, 519, 454, 9857, 823, 269, 3973, 2322, 519, 15708, 538, 1612, 3530, 1441, 7047, 976, 543, 3382, 609, 519, 454, 9857, 823, 519, 4006, 814, 6537, 856, 540, 519, 15708, 269, 15147, 519, 7047, 517, 543, 19068, 454, 520, 4642, 5232, 610, 2539, 563, 763, 13325, 13749, 5267, 1869, 1776, 1259, 547, 19068, 12450, 8894, 11241, 2443, 16760, 15708, 609, 4006, 585, 946, 593, 4672, 8645, 610, 593, 824, 964, 8894, 338, 1068, 338, 269, 3371, 616, 519, 13325, 8846, 585, 16171, 16760, 15708, 912, 310, 1662, 267, 1698, 543, 24807, 15708, 269, 5410, 476, 272, 7484, 540, 4006, 547, 1142, 476, 276, 11680, 540, 4829, 2676, 300, 1460, 2394, 519, 4006, 4744, 11510, 538, 519, 10433, 269, 2422, 13451, 31383, 7047, 976, 454, 32355, 533, 842, 610, 14415, 2450, 269, 30346, 873, 609, 519, 16760, 6653, 2989, 15708, 454, 1575, 547, 835, 21144, 628, 10759, 540, 519, 1283, 269, 19171, 519, 7047, 517, 5612, 543, 1832, 454, 514, 513, 4411, 1747, 1247, 596, 6445, 519, 824, 7047, 976, 269, 6875, 547, 513, 9376, 518, 2030, 454, 9404, 2664, 2299, 543, 1118, 2386, 519, 15708, 979, 883, 4642, 2837, 693, 2899, 2676, 2467, 616, 476, 275, 1434, 2081, 547, 19068, 22229, 269, 634, 8846, 585, 454, 16451, 4506, 2898, 609, 4006, 610, 27205, 1575, 4019, 849, 547, 678, 5684, 11241, 2443, 2699, 267, 3109, 454, 528, 13711, 282, 543, 547, 30207, 267, 543, 11877, 10027, 1845, 269, 590, 712, 10027, 1845, 267, 1225, 7847, 454, 663, 979, 846, 11241, 2356, 991, 811, 6653, 2287, 982, 22229, 269, 13268, 873, 454, 5976, 835, 11013, 540, 4006, 585, 1142, 476, 274, 6550, 540, 4829, 269, 21690, 10027, 1845, 991, 454, 1652, 6653, 2287, 982, 22229, 269, 2422, 513, 25182, 27205, 1575, 585, 873, 563, 6546, 781, 782, 519, 16171, 3377, 2221, 267, 2368, 1554, 4166, 594, 3513, 3142, 596, 454, 17084, 593, 16171, 2038, 5388, 269, 0, 288, 1007, 1353, 689, 20037, 543, 12370, 1336, 602, 4568, 6981, 693, 782, 2157, 729, 5532, 547, 2362, 4220, 540, 2295, 2068, 563, 763, 1353, 568, 3370, 538, 808, 24717, 8416, 7046, 543, 729, 5342, 676, 30730, 717, 269, 589, 4048, 600, 1696, 620, 563, 763, 4681, 2303, 602, 519, 9277, 2640, 540, 4568, 6704, 949, 2965, 581, 11911, 547, 824, 6197, 2188, 602, 616, 1455, 1851, 1769, 547, 9793, 4235, 619, 563, 1103, 519, 1353, 267, 519, 2319, 8947, 476, 4391, 272, 267, 5379, 274, 4079, 1765, 5976, 606, 3328, 2085, 540, 476, 6872, 1296, 543, 3328, 4568, 4616, 540, 476, 280, 269, 273, 10425, 829, 3018, 454, 8256, 11962, 609, 4505, 2090, 267, 519, 2319, 1336, 602, 1769, 547, 9793, 4235, 619, 1185, 519, 9803, 2295, 2068, 1981, 267, 4553, 676, 1004, 945, 17712, 7134, 689, 6704, 269, 4658, 945, 1743, 1678, 8185, 1185, 519, 5207, 1981, 563, 4913, 267, 519, 2319, 849, 1336, 602, 1769, 547, 9793, 4235, 619, 22157, 547, 723, 8902, 19824, 982, 17712, 664, 619, 27137, 607, 811, 2168, 2534, 543, 10448, 6981, 267, 543, 1447, 7296, 563, 21982, 1175, 513, 1906, 6197, 2188, 883, 2272, 9244, 22485, 1022, 4324, 2404, 609, 4568, 4616, 563, 763, 1353, 849, 4294, 519, 5767, 2553, 538, 513, 1505, 1572, 21780, 27318, 4351, 1436, 267, 799, 3096, 4719, 14726, 547, 3313, 2436, 606, 4767, 3095, 1063, 606, 4598, 543, 606, 6364, 568, 5812, 609, 513, 21465, 1198, 24568, 713, 2013, 267, 2436, 1769, 4568, 4616, 3123, 513, 1268, 547, 581, 6870, 1996, 9025, 2068, 563, 763, 2319, 1336, 602, 1004, 609, 4719, 14726, 602, 10567, 2362, 4568, 4616, 941, 8197, 811, 2693, 547, 8532, 3152, 5666, 540, 4568, 267, 543, 811, 2693, 547, 723, 13119, 543, 18337, 16050, 2068, 563, 763, 9382, 849, 1336, 2462, 3604, 538, 2295, 1981, 2066, 519, 8552, 540, 4568, 4616, 1851, 1312, 2367, 543, 2021, 267, 609, 8766, 4679, 538, 1981, 950, 2469, 689, 4642, 547, 5722, 10425, 829, 3018, 267, 1454, 2362, 1981, 4679, 950, 3356, 532, 689, 5722, 547, 476, 1691, 10425, 829, 3018, 267, 543, 2523, 1164, 1981, 950, 10438, 476, 2641, 610, 811, 10425, 829, 3018, 563, 8253, 2406, 267, 519, 4681, 2303, 513, 4473, 538, 2295, 1981, 1256, 693, 2157, 16363, 968, 869, 1981, 892, 676, 3084, 4808, 689, 519, 772, 2529, 269, 4972, 540, 11982, 630, 328, 4318, 269, 2630, 1079, 10425, 829, 1554, 585, 2367, 543, 835, 4235, 829, 1554, 585, 2021, 1916, 763, 6602, 729, 6462, 676, 606, 3606, 2079, 540, 1239, 593, 476, 1789, 267, 278, 1626, 5171, 538, 519, 7136, 4937, 5696, 662, 600, 4437, 984, 1678, 563, 11997, 267, 1247, 5969, 1394, 593, 4616, 666, 4324, 1256, 1004, 945, 4235, 835, 23931, 20892, 829, 1554, 267, 519, 1072, 12374, 540, 5969, 1394, 949, 581, 811, 8101, 11652, 267, 5310, 267, 811, 24802, 6209, 24568, 1346, 945, 8532, 811, 563, 763, 2319, 3081, 519, 4681, 14751, 602, 4568, 6981, 1058, 711, 581, 5227, 547, 2087, 9025, 1072, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2564, 10986, 267, 16293, 267, 1514, 4600, 267, 543, 849, 6484, 1235, 269, 634, 4099, 1058, 849, 2285, 513, 2407, 2039, 540, 3797, 3435, 267, 9967, 540, 1895, 2126, 543, 476, 1321, 9912, 1489, 2516, 269, 589, 4915, 11222, 9744, 814, 513, 11295, 6296, 2919, 547, 4894, 1022, 29987, 607, 1134, 607, 11863, 596, 547, 1445, 593, 707, 865, 828, 1145, 269, 769, 519, 2038, 6640, 267, 596, 3580, 723, 14254, 267, 543, 19952, 2743, 609, 513, 13309, 269, 2991, 12899, 267, 596, 3580, 723, 835, 811, 8400, 540, 3797, 269, 13536, 267, 596, 3580, 723, 942, 547, 6001, 607, 1134, 607, 1544, 585, 5127, 269, 23488, 7740, 2285, 513, 2922, 267, 11215, 4259, 585, 7218, 547, 960, 998, 741, 2152, 607, 1134, 607, 1265, 856, 6216, 20642, 12003, 1983, 269, 1358, 10123, 20882, 2043, 547, 9096, 6757, 3347, 607, 1134, 607, 3343, 6351, 689, 1866, 945, 666, 5351, 873, 2059, 519, 1259, 269, 4438, 513, 14317, 1982, 267, 11955, 666, 581, 8246, 547, 948, 596, 649, 534, 1055, 540, 811, 3532, 267, 513, 2603, 811, 5906, 6878, 269, 1452, 11955, 666, 849, 4217, 596, 3251, 2312, 540, 13821, 543, 6175, 519, 1981, 540, 9695, 269, 1403, 596, 723, 513, 3978, 3075, 610, 4568, 1966, 267, 621, 568, 15695, 602, 596, 979, 883, 513, 6469, 14317, 1982, 269, 901, 4990, 540, 1982, 2882, 2713, 593, 21935, 693, 519, 9744, 543, 11504, 2126, 7886, 269, 898, 568, 4122, 513, 10151, 2126, 4781, 543, 568, 30074, 585, 1004, 609, 1071, 31507, 2590, 4713, 610, 5626, 1072, 2042, 269, 634, 2640, 540, 10821, 11222, 1331, 281, 589, 2635, 543, 7059, 2039, 689, 561, 675, 267, 513, 11215, 607, 1134, 607, 15028, 4259, 585, 6051, 607, 1134, 607, 10333, 547, 476, 2190, 270, 278, 1489, 269, 1411, 666, 1205, 519, 6351, 596, 2154, 689, 513, 2319, 540, 6131, 543, 849, 15826, 4966, 602, 616, 8036, 547, 1832, 596, 1981, 6954, 607, 1134, 607, 18663, 596, 547, 2611, 538, 2126, 269, 5600, 3835, 9525, 607, 1134, 607, 1489, 568, 513, 5458, 851, 540, 513, 14317, 9744, 779, 2126, 1544, 269, 26597, 14317, 7740, 1683, 3872, 2326, 585, 4759, 540, 519, 1920, 547, 679, 13097, 2933, 827, 3114, 6057, 607, 1134, 607, 8213, 865, 789, 666, 1489, 741, 17329, 835, 2429, 519, 3797, 5650, 269, 1411, 666, 2824, 513, 11222, 602, 3096, 6646, 29374, 11257, 267, 971, 607, 8715, 611, 821, 610, 4427, 2135, 821, 267, 547, 948, 596, 3247, 9001, 6527, 543, 5924, 4568, 269, 13878, 3292, 616, 6035, 585, 1312, 6738, 5725, 543, 849, 12322, 267, 607, 1134, 607, 666, 581, 3608, 538, 20408, 8213, 543, 7303, 26739, 269, 634, 1034, 2500, 4915, 14317, 6703, 2285, 606, 5790, 602, 568, 8716, 607, 1134, 607, 22205, 547, 782, 540, 741, 2043, 269, 1358, 616, 2111, 547, 2911, 3842, 1022, 13542, 602, 1522, 10836, 609, 16293, 607, 1134, 607, 4387, 267, 543, 849, 616, 24016, 547, 3717, 856, 952, 789, 1745, 789, 2461, 32626, 269, 26935, 1235, 693, 513, 4915, 14317, 4099, 666, 948, 3448, 5431, 741, 17329, 835, 779, 2783, 543, 875, 547, 1655, 2844, 873, 538, 973, 10967, 566, 269, 1358, 666, 849, 2491, 519, 1114, 2126, 2409, 607, 1134, 607, 875, 789, 1599, 267, 2059, 609, 1683, 9623, 827, 519, 1114, 12153, 540, 6219, 6057, 543, 849, 1175, 875, 547, 2061, 873, 269, 0, 12441, 596, 917, 602, 4563, 1792, 6545, 593, 14402, 30133, 666, 581, 513, 1455, 3390, 602, 21427, 3068, 267, 2523, 538, 2127, 609, 1164, 11195, 543, 7509, 269, 1452, 5667, 4774, 1792, 6545, 616, 2356, 3361, 676, 13479, 267, 4481, 630, 10908, 4141, 665, 2355, 320, 7395, 2742, 1070, 799, 29263, 538, 14927, 5054, 563, 763, 13479, 24032, 666, 3262, 998, 519, 2011, 543, 2244, 593, 519, 8122, 781, 2627, 267, 1141, 789, 1265, 513, 5078, 1604, 547, 1332, 269, 700, 7660, 12258, 10696, 30133, 4043, 547, 11677, 811, 3002, 267, 2870, 513, 3636, 543, 5848, 2783, 602, 8992, 13479, 2208, 563, 4407, 3109, 1792, 6545, 949, 711, 3100, 899, 513, 1713, 1966, 693, 1101, 267, 789, 666, 1291, 547, 1761, 3441, 952, 2451, 15860, 269, 634, 13479, 666, 3180, 7509, 1996, 519, 30133, 267, 23960, 741, 21324, 543, 4227, 741, 14438, 269, 3958, 267, 519, 4158, 1792, 6545, 666, 10110, 811, 7943, 267, 2417, 2810, 519, 8122, 781, 2837, 267, 799, 1223, 1764, 519, 1648, 4398, 540, 519, 2679, 563, 2414, 2232, 713, 3390, 267, 1896, 2994, 666, 581, 6964, 269, 634, 1034, 1455, 543, 2500, 1505, 568, 9941, 654, 4770, 269, 901, 1184, 568, 2966, 547, 9004, 13479, 543, 2061, 922, 2104, 2208, 269, 901, 2126, 4294, 5402, 547, 2057, 14124, 519, 30133, 563, 19894, 8122, 5826, 267, 1519, 9427, 11935, 543, 5329, 8937, 1562, 2973, 267, 666, 849, 948, 2061, 4430, 7509, 19221, 267, 799, 8309, 547, 519, 2208, 540, 13479, 563, 1103, 3932, 267, 3109, 1792, 6545, 593, 14402, 30133, 616, 2356, 3361, 676, 13479, 2208, 267, 543, 1247, 789, 949, 2408, 20027, 267, 789, 666, 1291, 547, 1279, 3856, 3441, 952, 711, 9619, 269, 8617, 5826, 543, 519, 946, 540, 3617, 7738, 2409, 666, 948, 1832, 707, 8122, 3168, 29814, 543, 8831, 922, 14438, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 563, 9596, 827, 713, 1888, 538, 891, 4930, 912, 268, 769, 13091, 281, 15486, 540, 16767, 454, 2507, 16149, 12966, 267, 1634, 607, 519, 1325, 335, 728, 25028, 267, 10596, 998, 519, 11335, 3148, 7532, 1189, 998, 5607, 543, 26082, 519, 8562, 636, 6261, 6680, 25028, 538, 519, 5101, 28851, 269, 634, 1648, 5950, 538, 16767, 689, 713, 12966, 568, 827, 476, 1428, 2600, 540, 519, 1158, 2698, 269, 1703, 849, 616, 11495, 4448, 26797, 540, 20381, 2534, 267, 5631, 2507, 5649, 2859, 0, 1492, 1739, 15451, 2669, 14258, 941, 6394, 689, 513, 3099, 540, 21734, 5574, 1031, 593, 1114, 552, 269, 19546, 5439, 269, 6582, 519, 11708, 2630, 538, 1931, 540, 519, 7145, 540, 891, 5574, 269, 8263, 602, 519, 1034, 2500, 2126, 568, 519, 835, 602, 267, 585, 513, 1880, 2551, 2450, 267, 19754, 552, 269, 19546, 519, 16595, 269, 16937, 11708, 602, 1397, 5439, 16271, 547, 2147, 5574, 563, 763, 2953, 2626, 814, 711, 2943, 1044, 1336, 585, 519, 2243, 269, 3776, 15645, 2209, 616, 3168, 585, 519, 1034, 5078, 3435, 585, 596, 269, 16393, 596, 2671, 707, 8292, 609, 721, 585, 519, 2626, 547, 713, 2243, 286, 0, 17606, 779, 519, 4346, 267, 29749, 1848, 901, 3956, 540, 519, 476, 1960, 273, 22735, 5859, 1631, 5526, 547, 581, 3617, 607, 649, 4283, 476, 1220, 272, 269, 10765, 1239, 689, 519, 2136, 2276, 267, 543, 689, 519, 1964, 540, 519, 1158, 607, 1134, 267, 9244, 6920, 602, 2518, 2804, 2208, 568, 6385, 19394, 269, 634, 2804, 3510, 3340, 2656, 2962, 711, 1152, 538, 519, 2136, 2276, 855, 849, 16268, 2962, 676, 824, 2477, 563, 763, 1007, 17312, 7245, 814, 519, 4161, 540, 711, 1152, 7598, 519, 1697, 2804, 4507, 585, 519, 2136, 2276, 855, 849, 8716, 824, 2477, 547, 798, 865, 538, 1931, 547, 2327, 4708, 543, 13884, 563, 23613, 1629, 31097, 798, 711, 1118, 2112, 593, 1142, 824, 269, 589, 12560, 1158, 3340, 602, 2477, 711, 1152, 581, 11180, 855, 723, 513, 10257, 1377, 540, 13884, 269, 4935, 267, 519, 3119, 3804, 540, 3486, 2804, 3609, 11129, 547, 581, 547, 5000, 824, 2477, 547, 1246, 4507, 602, 786, 1291, 547, 4028, 2804, 2208, 269, 1280, 606, 7245, 547, 8011, 538, 23187, 602, 5048, 267, 621, 568, 711, 2614, 585, 513, 1906, 9972, 3609, 24237, 538, 6115, 547, 1174, 519, 3804, 543, 519, 4507, 269, 2353, 9972, 2377, 29983, 10986, 1590, 849, 723, 513, 1434, 9787, 540, 1346, 3609, 2242, 602, 616, 2556, 538, 519, 2477, 538, 799, 789, 7500, 269, 901, 786, 711, 2049, 8259, 519, 3557, 4972, 543, 519, 824, 772, 2529, 269, 8041, 602, 723, 4914, 9021, 3648, 2087, 741, 2804, 3609, 2866, 563, 763, 1697, 4507, 616, 9247, 519, 1482, 585, 1164, 3766, 9512, 3638, 11615, 543, 3500, 3766, 9512, 4057, 11615, 269, 1520, 17518, 547, 519, 1739, 4808, 1131, 3142, 2640, 547, 3025, 912, 268, 16237, 6533, 519, 4341, 540, 1876, 543, 2327, 602, 519, 10470, 616, 5234, 539, 609, 3810, 19579, 543, 1875, 2275, 528, 4533, 8387, 563, 268, 853, 8494, 1125, 519, 1871, 540, 519, 9304, 543, 4894, 15641, 9323, 547, 922, 1863, 5385, 563, 268, 16237, 6533, 1863, 6990, 676, 9427, 15641, 9323, 267, 971, 607, 3902, 8060, 563, 268, 17658, 520, 1125, 3959, 543, 1683, 2178, 2229, 20038, 563, 268, 21079, 15641, 9323, 547, 1863, 4123, 563, 268, 21079, 1164, 8589, 3454, 3928, 267, 3226, 593, 4074, 543, 3854, 563, 268, 3550, 602, 2229, 17898, 2056, 3292, 616, 1942, 2500, 267, 543, 798, 711, 3648, 1253, 677, 12721, 1863, 6990, 610, 1683, 15314, 585, 1875, 335, 8793, 2238, 563, 268, 5269, 2386, 602, 6042, 616, 1942, 2500, 543, 798, 711, 3768, 340, 569, 15936, 609, 2596, 3540, 23118, 563, 2026, 6654, 607, 891, 5216, 2798, 949, 3100, 267, 789, 616, 9846, 896, 4323, 676, 2027, 4690, 538, 1312, 25133, 543, 1447, 25133, 2477, 269, 4438, 5712, 540, 13884, 267, 11761, 538, 519, 1657, 3609, 2127, 11148, 547, 2049, 267, 543, 3976, 519, 15799, 602, 9428, 538, 2804, 16209, 1590, 12212, 581, 1625, 3022, 563, 2419, 5190, 538, 2229, 616, 2067, 2053, 585, 971, 16268, 1625, 2471, 547, 1491, 1747, 269, 26062, 1296, 3516, 267, 519, 1007, 31144, 543, 2334, 7815, 4218, 5928, 267, 538, 519, 2136, 2276, 543, 519, 2136, 8003, 6606, 267, 3177, 971, 26349, 540, 519, 2804, 16209, 547, 1390, 4324, 563, 28347, 3887, 937, 6723, 654, 269, 17312, 1590, 1118, 971, 2242, 1934, 543, 5000, 824, 2477, 547, 798, 519, 1482, 269, 1677, 798, 713, 267, 6004, 269, 17312, 1590, 3533, 5234, 1883, 3609, 9708, 538, 519, 27308, 267, 3557, 543, 25642, 13623, 609, 3810, 19579, 605, 3766, 9512, 24192, 267, 543, 1175, 607, 11932, 267, 1020, 513, 3178, 540, 3609, 5234, 538, 519, 1883, 8041, 547, 4922, 13599, 1312, 772, 2529, 269, 543, 4914, 2229, 8387, 563, 3891, 2115, 547, 2057, 519, 12161, 1010, 4651, 1500, 267, 945, 4847, 930, 8387, 945, 1705, 711, 1489, 519, 2804, 3609, 593, 799, 646, 5859, 539, 547, 24183, 3609, 6388, 563, 10214, 1498, 25399, 267, 25847, 543, 3223, 2106, 14198, 1143, 723, 4503, 741, 2463, 1464, 267, 519, 1249, 568, 602, 519, 2493, 626, 1826, 540, 3206, 971, 24866, 9415, 568, 9800, 543, 1134, 543, 5170, 547, 723, 513, 16160, 1764, 593, 1158, 2804, 1134, 5630, 563, 2026, 606, 1383, 267, 3592, 782, 2463, 762, 24192, 1489, 1863, 4123, 267, 543, 519, 12170, 2963, 568, 11566, 602, 1863, 4123, 1568, 543, 602, 4123, 9993, 616, 3592, 2141, 16160, 269, 634, 5234, 540, 519, 17434, 9483, 9730, 540, 6837, 1175, 5950, 513, 1353, 6029, 602, 2477, 609, 519, 6574, 4123, 22371, 723, 2362, 2804, 2208, 3928, 543, 2362, 26038, 269, 4340, 547, 519, 1353, 267, 519, 476, 1321, 2477, 609, 519, 1034, 25516, 4507, 1185, 606, 3328, 2804, 2208, 2557, 540, 1152, 1547, 274, 2600, 585, 519, 1974, 689, 476, 2735, 271, 268, 2735, 279, 267, 543, 1152, 606, 3328, 829, 21027, 14407, 6469, 1587, 630, 294, 7894, 264, 540, 1269, 274, 267, 7742, 829, 1032, 269, 2201, 519, 824, 1688, 267, 519, 476, 1321, 2477, 609, 519, 1034, 1930, 4123, 4507, 1185, 606, 3328, 2804, 2208, 2557, 540, 476, 273, 269, 276, 2600, 585, 519, 1482, 1974, 267, 609, 606, 3328, 829, 21027, 12654, 540, 1269, 2537, 267, 4343, 278, 269, 8616, 519, 2136, 2276, 814, 1831, 5594, 811, 4027, 626, 538, 519, 2063, 1896, 1296, 267, 543, 519, 12503, 616, 3395, 1934, 543, 13383, 585, 811, 4027, 1143, 563, 6624, 2147, 2090, 666, 581, 11855, 585, 1142, 540, 519, 824, 3609, 2152, 1657, 269, 5398, 2804, 7924, 1590, 581, 9415, 952, 519, 22514, 580, 525, 540, 2493, 626, 3206, 616, 547, 581, 7753, 563, 2026, 519, 1158, 4346, 814, 1831, 5051, 7471, 267, 1169, 12504, 540, 519, 1158, 814, 513, 642, 6479, 1719, 538, 605, 3766, 9512, 2804, 4507, 10876, 269, 6270, 4507, 616, 711, 2469, 547, 2049, 8259, 519, 1377, 540, 2804, 7924, 568, 2799, 267, 3226, 1851, 519, 2797, 543, 2923, 5049, 269, 4935, 267, 585, 6004, 269, 17312, 547, 8011, 267, 646, 1590, 1711, 513, 1507, 7952, 540, 605, 3766, 9512, 2804, 3609, 24237, 267, 3868, 2209, 543, 7855, 2429, 519, 2229, 563, 32178 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14096, 634, 1053, 685, 12591, 26973, 4824, 1317, 676, 552, 17733, 2488, 519, 4316, 585, 1053, 547, 2087, 741, 1702, 540, 519, 946, 540, 18685, 267, 3854, 4484, 267, 543, 7344, 1603, 269, 661, 17733, 3112, 581, 9674, 689, 2780, 1317, 552, 17733, 568, 835, 540, 1982, 3177, 538, 4950, 2571, 16292, 3498, 269, 1879, 789, 1826, 519, 7084, 610, 5048, 593, 519, 2780, 1354, 11488, 621, 3842, 552, 17733, 267, 789, 666, 2638, 543, 6169, 1348, 519, 946, 540, 18685, 267, 3854, 4484, 267, 543, 7344, 1603, 7157, 269, 1358, 666, 849, 2638, 519, 28395, 267, 1884, 7716, 267, 543, 1256, 519, 2495, 540, 519, 1913, 6475, 1227, 269, 898, 1797, 602, 789, 4688, 741, 3407, 942, 538, 1603, 1257, 269, 16500, 30225, 527, 990, 630, 1220, 279, 281, 476, 272, 264, 1767, 602, 676, 1603, 1257, 593, 519, 552, 17733, 267, 519, 1053, 1223, 8415, 519, 661, 17733, 18049, 4856, 14431, 12229, 799, 2337, 593, 10992, 267, 31925, 267, 543, 14335, 741, 2296, 5220, 865, 789, 1831, 4977, 267, 2973, 267, 543, 31402, 269, 1261, 849, 1767, 602, 676, 1210, 552, 17733, 8239, 2638, 518, 267, 519, 1053, 666, 3362, 1265, 1896, 5383, 12077, 281, 630, 272, 264, 8850, 2697, 5220, 4070, 2042, 602, 949, 723, 1044, 14406, 1282, 513, 8261, 6169, 15105, 282, 630, 273, 264, 2667, 12371, 1053, 15849, 559, 908, 2296, 8239, 3652, 282, 630, 274, 264, 25947, 1053, 685, 1582, 6015, 609, 741, 1603, 563, 29467, 729, 513, 1713, 3017, 593, 12591, 26973, 1063, 1053, 945, 946, 1395, 565, 532, 783, 8675, 543, 1346, 945, 946, 19636, 8675, 6100, 634, 14275, 8367, 630, 295, 334, 2567, 968, 2467, 729, 1100, 1713, 3017, 593, 12591, 26973, 1063, 1053, 945, 946, 1395, 565, 532, 783, 8675, 543, 1346, 945, 946, 19636, 8675, 7536, 14048, 2296, 269, 2296, 3610, 723, 547, 581, 2111, 547, 6582, 741, 7084, 3927, 269, 1358, 616, 18796, 547, 18663, 519, 1053, 538, 1931, 547, 1451, 2296, 1134, 269, 29923, 519, 1148, 540, 1603, 568, 519, 2582, 1034, 1271, 2460, 540, 1565, 513, 2034, 610, 4914, 1893, 267, 543, 513, 1967, 568, 6027, 538, 2474, 540, 519, 2702, 547, 4163, 856, 513, 1257, 267, 538, 519, 1893, 269, 2290, 540, 519, 1034, 1271, 538, 2296, 3450, 568, 513, 968, 6011, 798, 649, 1020, 938, 1053, 685, 12591, 26973, 9731, 20082, 281, 634, 1353, 568, 6322, 693, 3384, 519, 6388, 540, 5675, 6713, 13979, 630, 310, 5183, 264, 547, 3986, 519, 1053, 685, 5578, 538, 1603, 1557, 269, 634, 1353, 6964, 15858, 11059, 3194, 269, 634, 5396, 540, 519, 1353, 941, 476, 1428, 6280, 1053, 19801, 538, 519, 1603, 1362, 269, 634, 1239, 941, 6591, 689, 1603, 4305, 267, 8343, 543, 2361, 4967, 269, 634, 4681, 1397, 602, 519, 6388, 540, 654, 5183, 609, 519, 1697, 2203, 5773, 2919, 666, 3986, 519, 1053, 685, 5578, 538, 1603, 1557, 269, 6969, 519, 4640, 729, 8045, 267, 519, 6871, 540, 519, 1053, 8236, 519, 6060, 3152, 982, 610, 3160, 547, 595, 630, 6321, 268, 3583, 264, 729, 476, 2412, 269, 876, 260, 630, 277, 1053, 540, 519, 1362, 1040, 1717, 267, 1310, 519, 4640, 729, 8045, 538, 18888, 594, 267, 621, 8476, 2614, 547, 476, 2568, 269, 876, 260, 630, 280, 1053, 540, 519, 1362, 1070, 855, 713, 1267, 1705, 711, 2743, 519, 7355, 540, 1967, 1305, 909, 538, 519, 1353, 269, 8921, 267, 538, 18888, 4083, 621, 2799, 5594, 547, 476, 10436, 269, 6858, 260, 630, 1724, 1053, 540, 519, 1362, 1040, 4935, 267, 519, 19349, 540, 519, 1053, 685, 5578, 538, 1603, 1557, 666, 581, 6603, 855, 621, 1058, 1246, 519, 1697, 2203, 5773, 540, 519, 6388, 540, 654, 5183, 2919, 269, 27511, 281, 1603, 1184, 1935, 267, 12591, 26973, 267, 1557, 1603, 454, 763, 6663, 540, 713, 1382, 616, 547, 1265, 540, 2542, 8515, 267, 547, 4983, 519, 2875, 685, 21389, 621, 532, 1983, 267, 543, 547, 16785, 555, 552, 3310, 540, 519, 1053, 685, 2542, 8515, 4724, 519, 1053, 685, 12591, 26973, 269, 1635, 7311, 10855, 11050, 1935, 543, 1210, 9756, 1382, 267, 519, 1641, 540, 519, 1353, 616, 519, 3791, 1032, 1053, 540, 590, 6573, 715, 476, 272, 3400, 321, 698, 267, 28763, 269, 7395, 601, 836, 267, 538, 519, 4081, 1032, 540, 476, 1220, 279, 270, 1220, 280, 269, 11531, 267, 519, 3732, 540, 519, 1382, 616, 476, 2412, 1053, 540, 1079, 5049, 602, 616, 3144, 676, 7311, 14404, 1881, 10386, 4480, 269, 5015, 267, 972, 616, 1079, 4632, 602, 616, 9916, 269, 1358, 616, 1053, 685, 2542, 538, 512, 3748, 607, 4830, 4756, 543, 1053, 685, 12591, 26973, 607, 4096, 757, 4756, 269, 9122, 593, 519, 9819, 540, 519, 2565, 678, 538, 519, 1377, 540, 1713, 540, 476, 276, 9077, 519, 5856, 1336, 602, 678, 15383, 513, 761, 332, 25677, 568, 2362, 982, 678, 15383, 3349, 269, 4475, 267, 972, 568, 3310, 540, 2542, 8515, 4724, 12591, 26973, 269, 27511, 281, 7335, 267, 2271, 3748, 267, 5675, 454, 763, 7145, 540, 4687, 610, 4758, 1344, 1223, 581, 2938, 950, 1268, 13290, 547, 5968, 609, 824, 7606, 538, 2854, 3029, 269, 634, 5856, 14659, 602, 519, 1344, 1223, 581, 2500, 952, 519, 3988, 1174, 1018, 5856, 3081, 538, 2854, 1106, 269, 898, 568, 1114, 689, 9275, 1106, 282, 519, 10584, 14753, 547, 519, 26575, 2047, 269, 3371, 267, 10584, 1281, 711, 723, 1454, 942, 547, 1589, 811, 269, 5675, 568, 835, 540, 519, 2185, 1893, 1983, 281, 2542, 267, 1603, 267, 6947, 543, 6340, 269, 5675, 543, 6340, 616, 11327, 5578, 269, 2334, 1797, 789, 4125, 6721, 1893, 2864, 982, 8391, 621, 269, 5047, 12591, 26973, 568, 811, 7294, 982, 1866, 1983, 538, 2296, 1893, 269, 13360, 902, 26973, 568, 711, 1152, 6158, 827, 6121, 332, 1513, 543, 4938, 629, 983, 625, 855, 849, 6158, 827, 12497, 543, 10385, 2609, 269, 5221, 540, 519, 7965, 267, 930, 3646, 723, 1044, 2944, 547, 4194, 519, 2042, 267, 519, 3483, 568, 547, 1118, 1603, 3587, 4443, 543, 4277, 547, 1451, 585, 1053, 563, 3725, 341, 2358, 568, 606, 2534, 1141, 519, 1053, 23590, 741, 1603, 543, 6956, 519, 2953, 5220, 950, 519, 1053, 6432, 547, 519, 1913, 607, 789, 1224, 269, 968, 763, 2262, 540, 14469, 12777, 1797, 968, 1729, 1294, 1586, 892, 602, 568, 1018, 2847, 2358, 782, 827, 7868, 3610, 1131, 2303, 519, 1053, 547, 1224, 741, 1603, 16965, 267, 1287, 519, 3610, 723, 873, 547, 960, 1927, 547, 1118, 2242, 602, 3986, 1620, 892, 630, 298, 754, 718, 1299, 10609, 340, 517, 267, 476, 1220, 277, 281, 276, 1040, 24511, 950, 519, 4058, 267, 26004, 267, 543, 2847, 2358, 616, 2944, 267, 519, 3803, 3942, 585, 1053, 945, 20053, 547, 2671, 741, 960, 568, 1289, 607, 11049, 269, 7984, 638, 28496, 1299, 631, 743, 591, 630, 1220, 276, 281, 2641, 1070, 968, 2691, 1053, 23590, 267, 789, 616, 11504, 547, 1893, 2298, 543, 5048, 22122, 855, 267, 950, 1053, 12575, 267, 789, 1419, 13404, 593, 519, 1603, 4879, 6100, 1924, 267, 519, 1053, 1131, 6956, 1018, 1058, 789, 1705, 538, 11049, 942, 269, 1306, 513, 2339, 540, 519, 1249, 267, 1603, 568, 513, 2792, 543, 952, 519, 1053, 2328, 1945, 267, 789, 1590, 20053, 585, 2576, 547, 1224, 621, 267, 1256, 952, 602, 1268, 568, 1152, 513, 2875, 3294, 269, 634, 2063, 3942, 538, 1603, 1184, 568, 13629, 269, 968, 898, 2709, 1053, 4316, 547, 1491, 741, 1603, 856, 547, 741, 2828, 543, 519, 3610, 723, 547, 1683, 519, 2923, 610, 1907, 547, 18663, 1053, 547, 15476, 741, 1603, 892, 630, 298, 754, 718, 1299, 10609, 340, 517, 267, 476, 1220, 277, 281, 279, 1916, 1607, 1382, 18271, 12007, 1382, 1374, 543, 729, 17298, 693, 29329, 23016, 5049, 693, 12200, 540, 28299, 667, 1014, 715, 639, 342, 656, 19660, 2160, 269, 634, 6437, 540, 2296, 1983, 693, 20513, 540, 28299, 667, 1014, 715, 639, 342, 656, 19660, 2160, 6964, 9135, 2861, 1935, 538, 799, 782, 519, 2296, 1983, 616, 7471, 547, 835, 1776, 269, 634, 1053, 941, 6026, 6609, 607, 519, 6249, 540, 519, 1570, 2016, 693, 13591, 6947, 5049, 269, 2311, 519, 1482, 942, 267, 538, 824, 2296, 5578, 5396, 267, 552, 3052, 538, 29329, 5675, 267, 789, 849, 4121, 6609, 1257, 269, 13517, 568, 835, 540, 519, 11964, 602, 11394, 547, 4766, 513, 1880, 1268, 267, 1747, 610, 3364, 630, 295, 2459, 1180, 1696, 269, 531, 267, 476, 1960, 273, 281, 4281, 1040, 2311, 1101, 267, 1053, 941, 2016, 6947, 1570, 543, 1287, 5941, 519, 1570, 1519, 519, 2055, 538, 6292, 610, 538, 1895, 676, 6998, 1053, 547, 1491, 4063, 519, 1271, 540, 1808, 5171, 543, 4938, 629, 983, 625, 269, 769, 11543, 519, 1239, 267, 519, 1053, 941, 4280, 547, 2328, 513, 6609, 1257, 693, 519, 1439, 540, 519, 6947, 1362, 269, 5675, 729, 519, 3803, 1867, 538, 1169, 5870, 693, 29329, 23016, 5049, 269, 1703, 941, 476, 4281, 1053, 543, 585, 519, 19160, 540, 1239, 2079, 267, 519, 11001, 3576, 476, 274, 1053, 8072, 6609, 12591, 607, 519, 5439, 540, 713, 1382, 1625, 1842, 1947, 269, 769, 7421, 519, 1239, 267, 9135, 1759, 1935, 729, 4294, 543, 11528, 6198, 23316, 538, 2165, 540, 28176, 2497, 543, 10409, 905, 2246, 999, 1031, 538, 1931, 547, 7866, 1053, 8072, 6609, 1603, 1646, 269, 769, 1840, 267, 6947, 1565, 4783, 2919, 676, 12197, 630, 1220, 279, 264, 6227, 281, 840, 2000, 626, 2287, 267, 3573, 6947, 267, 14021, 6947, 543, 2022, 2000, 626, 2287, 729, 8045, 547, 3391, 1053, 547, 2328, 513, 1257, 1310, 789, 19557, 547, 519, 8301, 2016, 607, 4330, 538, 519, 4137, 476, 272, 2630, 912, 763, 1382, 4681, 1397, 602, 9050, 12384, 5675, 631, 2802, 617, 1223, 2087, 281, 630, 272, 264, 1053, 685, 12591, 26973, 540, 973, 1735, 512, 1257, 630, 273, 264, 4928, 3510, 269, 13565, 547, 519, 6454, 540, 630, 272, 1070, 621, 2882, 281, 630, 320, 264, 634, 1053, 1185, 7864, 7965, 538, 3695, 2093, 547, 2328, 630, 321, 264, 1358, 849, 1500, 7864, 9073, 538, 14335, 1007, 5220, 1210, 2241, 2250, 13029, 630, 322, 264, 4256, 2262, 3903, 3893, 21950, 1310, 519, 1382, 630, 323, 264, 1358, 941, 2111, 547, 16174, 519, 13598, 2497, 540, 22281, 1257, 543, 946, 519, 3617, 2262, 5912, 630, 324, 264, 1358, 941, 2111, 547, 946, 519, 3617, 2262, 1931, 538, 741, 5220, 269, 19634, 940, 593, 519, 6454, 540, 630, 273, 1070, 621, 13408, 281, 630, 320, 264, 634, 1053, 25864, 5360, 7134, 950, 789, 941, 4280, 547, 2328, 630, 321, 264, 1358, 941, 2111, 547, 2626, 4116, 779, 2055, 543, 1373, 3742, 547, 2307, 2055, 547, 519, 4116, 630, 322, 264, 1358, 1705, 711, 20549, 547, 1459, 741, 12591, 538, 4395, 540, 519, 1362, 630, 323, 264, 1358, 6170, 10156, 942, 543, 941, 2111, 547, 9096, 519, 1603, 593, 942, 630, 324, 264, 1358, 6976, 3007, 547, 519, 4116, 267, 1053, 1705, 711, 1413, 19252, 610, 1118, 6846, 269, 14755, 519, 1079, 4681, 1657, 267, 972, 941, 824, 4681, 607, 5205, 281, 630, 274, 264, 634, 1053, 30870, 519, 11001, 3544, 519, 1362, 630, 275, 264, 1358, 4280, 519, 11001, 547, 4001, 873, 3476, 563, 3891, 814, 5342, 1896, 2930, 1603, 543, 2645, 11925, 269, 1261, 729, 513, 2871, 652, 20513, 693, 2817, 4659, 540, 5071, 5025, 327, 4364, 21171, 267, 4095, 4659, 540, 5303, 5336, 26842, 267, 543, 4972, 540, 4750, 1143, 6261, 2317, 269, 1261, 814, 2016, 12909, 593, 2930, 1603, 538, 15473, 971, 607, 29375, 2562, 267, 5254, 290, 3127, 2676, 307, 22736, 827, 1565, 2296, 267, 568, 711, 1152, 6158, 827, 6340, 267, 6947, 543, 2542, 267, 855, 849, 1603, 269, 5221, 267, 538, 1565, 2296, 267, 1053, 946, 1312, 6340, 543, 1603, 538, 1931, 547, 5968, 609, 1776, 269, 634, 1053, 1376, 1565, 547, 5968, 998, 2854, 1106, 607, 789, 2253, 547, 2170, 609, 1866, 693, 1153, 1377, 269, 634, 12591, 26973, 568, 811, 7294, 982, 602, 540, 824, 1893, 1983, 269, 4634, 3006, 513, 5065, 10584, 540, 519, 2296, 1893, 949, 1995, 28658, 538, 513, 16602, 3510, 269, 26023, 519, 12591, 26973, 3340, 513, 1134, 3613, 19099, 1259, 540, 519, 6881, 540, 4555, 538, 606, 6896, 543, 9709, 1259, 269, 22054, 610, 513, 1257, 267, 519, 1053, 723, 547, 1445, 593, 519, 3652, 540, 1603, 971, 607, 1888, 540, 5037, 267, 1560, 540, 5037, 267, 8753, 540, 5037, 543, 865, 593, 563, 339, 5460, 3446, 267, 1317, 519, 12591, 26973, 538, 713, 3446 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5749, 1405, 585, 519, 2034, 910, 594, 1589, 789, 941, 3622, 2469, 585, 811, 1175, 1769, 27329, 6272, 585, 519, 2034, 3903, 267, 899, 645, 731, 270, 11764, 3000, 518, 22230, 1046, 26427, 269, 3962, 5614, 519, 6837, 1308, 4659, 13384, 832, 513, 18487, 1164, 1153, 3308, 1148, 6735, 547, 5431, 543, 5000, 7499, 13007, 538, 519, 4182, 543, 538, 1142, 18322, 1308, 8664, 269, 968, 296, 1616, 547, 9684, 782, 540, 938, 918, 268, 276, 1053, 945, 15548, 538, 713, 16311, 2223, 31924, 17135, 715, 340, 10722, 14162, 1767, 269, 7225, 2471, 4967, 281, 834, 8110, 2739, 10155, 538, 713, 2261, 514, 4673, 910, 327, 1080, 782, 519, 1318, 4967, 602, 596, 1616, 538, 513, 2261, 514, 4673, 268, 11922, 267, 13342, 267, 8126, 267, 16603, 267, 609, 513, 20726, 540, 6653, 602, 6492, 899, 621, 2501, 689, 519, 3903, 540, 16603, 269, 2349, 11170, 731, 30007, 9906, 3203, 2552, 652, 476, 1001, 280, 12736, 2996, 22969, 7922, 11170, 731, 30007, 9906, 3203, 2552, 652, 476, 1001, 280, 12736, 2996, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12089, 9012, 7502, 720, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3203, 1315, 9828, 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, 0, 769, 519, 15489, 540, 476, 4489, 275, 267, 9624, 519, 544, 28854, 4610, 543, 964, 25544, 8916, 540, 5375, 674, 1633, 619, 267, 1079, 649, 776, 7980, 554, 3291, 1194, 1927, 538, 513, 2306, 31183, 29503, 269, 2290, 267, 513, 1762, 3703, 4357, 3957, 7338, 267, 588, 1563, 10145, 569, 883, 519, 3845, 267, 1010, 4064, 10452, 513, 2620, 2631, 540, 21817, 543, 771, 650, 4288, 618, 269, 3571, 13959, 267, 606, 4587, 3943, 1583, 613, 656, 3957, 10496, 13196, 267, 6035, 1864, 513, 2220, 580, 689, 1010, 1166, 2532, 267, 922, 9115, 513, 14984, 598, 1723, 794, 540, 6216, 344, 543, 29997, 566, 780, 24171, 3576, 513, 521, 760, 1354, 2588, 18146, 267, 834, 1432, 781, 519, 1448, 540, 782, 713, 267, 5395, 613, 656, 8119, 1261, 9694, 3293, 2509, 519, 3046, 1066, 2244, 3564, 741, 29503, 267, 1141, 25044, 16115, 1011, 10757, 21237, 267, 16213, 726, 6979, 540, 8673, 543, 11935, 883, 519, 2011, 780, 297, 659, 13196, 521, 19042, 8185, 267, 11432, 1359, 875, 1655, 547, 4431, 547, 971, 606, 16650, 13214, 269, 2991, 8090, 540, 14719, 894, 16563, 267, 646, 6368, 12038, 269, 834, 7468, 10675, 267, 798, 596, 917, 1946, 789, 1289, 891, 512, 29168, 1412, 1492, 5779, 32291, 286, 262, 5016, 24171, 695, 809, 1010, 2212, 32444, 569, 780, 257, 10303, 1142, 1554, 2437, 4797, 10496, 13196, 267, 834, 933, 6494, 938, 2367, 547, 3068, 1978, 2669, 1996, 606, 10546, 945, 568, 8449, 5462, 547, 26718, 873, 269, 1656, 2943, 267, 5103, 519, 1286, 333, 720, 267, 4986, 2242, 3010, 3891, 17328, 4310, 4090, 3320, 267, 11018, 1010, 4555, 1354, 11173, 269, 834, 3719, 972, 514, 6013, 707, 2626, 267, 17721, 269, 1411, 1294, 267, 10617, 616, 2760, 827, 10888, 610, 9561, 282, 3079, 267, 789, 4196, 1152, 547, 7866, 18495, 781, 4390, 585, 9552, 910, 543, 6043, 3010, 2026, 952, 5309, 9822, 908, 1010, 3948, 267, 1776, 2019, 2917, 540, 7784, 13933, 30192, 7404, 269, 5637, 2367, 15859, 1947, 21868, 539, 2539, 538, 741, 9757, 25653, 8083, 267, 7996, 2394, 519, 524, 659, 2684, 3415, 7449, 3660, 2899, 1586, 780, 297, 659, 13196, 1287, 4797, 267, 834, 1607, 2112, 814, 2907, 4957, 721, 1107, 8103, 3294, 269, 1284, 4312, 2938, 1919, 1100, 1268, 1058, 2479, 7198, 1862, 663, 15068, 3010, 24171, 6743, 26617, 855, 1767, 4986, 269, 5502, 267, 646, 19557, 32348, 607, 10496, 13196, 22281, 539, 8941, 540, 519, 3520, 5558, 1102, 21719, 676, 9241, 2919, 9362, 543, 519, 22266, 19178, 540, 29503, 13137, 269, 3962, 2272, 6039, 607, 513, 22880, 12576, 540, 519, 14042, 4539, 540, 2413, 4655, 780, 8601, 519, 1989, 574, 1641, 2339, 267, 2705, 267, 972, 7283, 513, 1350, 20810, 540, 4126, 1369, 10496, 13196, 262, 1913, 269, 1280, 1256, 9624, 519, 14784, 543, 25010, 267, 646, 5156, 602, 930, 3152, 3483, 1223, 1869, 10836, 689, 519, 607, 1127, 910, 2436, 621, 2482, 538, 519, 13710, 1379, 540, 1480, 16608, 610, 519, 1761, 4245, 4121, 689, 2486, 781, 4158, 652, 5662, 780, 4517, 865, 267, 998, 741, 3838, 7092, 543, 8994, 1620, 267, 891, 12691, 635, 10232, 1336, 24176, 538, 519, 1702, 602, 789, 941, 851, 540, 1945, 3677, 982, 2933, 269, 9282, 519, 1158, 1472, 873, 1522, 1835, 18443, 896, 519, 2597, 540, 2112, 267, 789, 1131, 829, 572, 3164, 267, 3808, 1927, 676, 513, 6125, 585, 3022, 538, 1973, 543, 15093, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 12441, 519, 11135, 540, 962, 26078, 723, 1022, 9434, 1764, 593, 519, 2112, 4674, 888, 8133, 267, 519, 11135, 540, 962, 26078, 1185, 1896, 9434, 5222, 593, 519, 2112, 4674, 1384, 272, 269, 8779, 569, 25096, 281, 634, 6370, 8507, 538, 519, 2530, 540, 936, 476, 7742, 267, 1822, 20466, 7980, 543, 936, 476, 1220, 267, 1822, 4436, 7980, 269, 1452, 25096, 1185, 513, 1713, 1764, 593, 519, 27907, 543, 2200, 540, 1312, 5011, 780, 273, 269, 4985, 540, 1007, 13137, 4066, 281, 634, 6370, 4718, 519, 1101, 946, 540, 3154, 607, 513, 14049, 540, 2112, 269, 901, 3366, 547, 519, 1646, 540, 811, 24037, 543, 4359, 3114, 9604, 267, 799, 1185, 513, 7096, 1764, 593, 13137, 1282, 2622, 2782, 594, 780, 274, 269, 570, 3402, 13137, 281, 634, 11135, 540, 962, 26078, 729, 835, 540, 519, 1101, 2101, 12959, 540, 2622, 2782, 594, 547, 4183, 3573, 29503, 13137, 269, 570, 3402, 13137, 2968, 513, 1455, 8671, 545, 538, 519, 2112, 267, 543, 621, 1185, 513, 9434, 1764, 593, 4108, 12485, 543, 4640, 780, 275, 269, 853, 531, 655, 622, 281, 6736, 519, 1164, 1942, 540, 2729, 543, 2200, 267, 519, 6370, 1705, 711, 1267, 538, 513, 1713, 16857, 2744, 585, 2901, 2427, 269, 901, 8329, 547, 519, 26106, 655, 622, 602, 1347, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1310, 7986, 2520, 19398, 545, 626, 14208, 10275, 342, 836, 630, 291, 1511, 264, 31474, 267, 519, 7777, 568, 519, 1101, 1383, 540, 513, 1164, 25774, 7513, 3623, 6510, 829, 990, 12921, 924, 630, 25519, 31333, 302, 274, 264, 1336, 593, 3047, 269, 6271, 1106, 540, 6970, 31333, 302, 274, 267, 1634, 607, 530, 3326, 770, 31354, 267, 568, 4122, 1336, 2066, 519, 8608, 267, 855, 546, 1511, 2742, 334, 924, 814, 513, 26543, 2497, 602, 3029, 1152, 896, 1164, 2604, 543, 1164, 5210, 538, 3047, 781, 25136, 267, 519, 5631, 4396, 4494, 540, 3047, 16290, 1063, 519, 9018, 4295, 543, 519, 12933, 563, 291, 1511, 2742, 334, 924, 814, 1279, 1044, 4397, 547, 581, 606, 10731, 543, 2520, 32554, 1227, 1271, 7777, 538, 3047, 781, 25136, 269, 1809, 3744, 723, 2760, 1336, 1022, 1463, 2963, 540, 922, 6228, 1317, 621, 9397, 1524, 883, 824, 6886, 950, 621, 7575, 4724, 519, 2627, 543, 2604, 11081, 269, 1717, 267, 2079, 540, 513, 14776, 689, 645, 1824, 32272, 267, 799, 4646, 538, 519, 25136, 1472, 476, 25148, 5195, 630, 32133, 12919, 264, 2630, 3047, 781, 2627, 267, 814, 7000, 513, 3732, 540, 16856, 546, 1511, 2742, 334, 924, 16290, 3330, 269, 1306, 513, 1267, 267, 519, 4139, 25115, 16479, 5948, 814, 1631, 9672, 546, 1511, 2742, 334, 924, 607, 513, 1007, 7777, 563, 302, 1998, 8433, 23977, 4754, 2892, 1393, 910, 5518, 15525, 543, 12832, 3559, 548, 17880, 11169, 269, 17421, 676, 8891, 324, 27804, 5633, 269, 15525, 7732, 267, 715, 2752, 288, 9517, 476, 1220, 27543, 6858, 272, 563, 301, 545, 3559, 548, 17880, 11169, 693, 8331, 781, 3794, 3317, 3194, 4741, 267, 476, 275, 270, 736, 270, 3192, 278, 267, 715, 2752, 288, 9517, 476, 14690, 6924, 272, 2537, 563, 258, 6020, 303, 12832, 3559, 548, 17880, 11169, 454, 30252, 7066, 330, 781, 700, 339, 269, 772, 327, 3120, 4422, 547, 519, 3803, 20281, 454, 3528, 19257, 3554, 21890, 27332, 267, 5398, 16457, 454, 301, 545, 3559, 548, 17880, 11169, 910, 8331, 5589, 8816, 618, 17912, 476, 3192, 278, 563, 2108, 8310, 3781, 267, 1250, 3993, 267, 12832, 3559, 548, 17880, 11169, 267, 13151, 3518, 539, 547, 2067, 3123, 543, 5293, 2476, 269, 4173, 1769, 2705, 267, 899, 519, 3504, 15270, 1631, 1373, 2938, 585, 519, 1101, 942, 267, 786, 2611, 585, 721, 543, 2104, 5481, 547, 2972, 267, 1451, 689, 267, 543, 2721, 6667, 269, 670, 619, 729, 513, 1272, 1134, 5030, 543, 607, 971, 513, 2203, 585, 721, 782, 1701, 15048, 689, 17880, 11169, 685, 5067, 267, 918, 1803, 9652, 454, 301, 747, 11169, 609, 740, 1681, 11655, 693, 8331, 781, 3794, 3317, 3194, 4741, 267, 476, 275, 270, 736, 270, 3192, 278, 267, 715, 2752, 288, 9517, 476, 14690, 6924, 272, 2190, 4586, 301, 545, 3559, 548, 17880, 11169, 6585, 513, 4062, 540, 513, 9682, 4843, 676, 12650, 269, 6424, 9410, 693, 715, 3036, 4696, 267, 476, 272, 270, 277, 270, 3192, 278, 267, 681, 294, 476, 31079, 269, 6732, 1934, 563, 301, 3036, 4696, 2046, 5305, 476, 272, 270, 277, 270, 3192, 278, 267, 681, 294, 476, 31079, 267, 19475, 540, 2475, 5794, 10414, 267, 2228, 563, 1103, 6490, 528, 3554, 281, 12832, 3559, 548, 17880, 11169, 630, 4350, 273, 268, 1708, 273, 1070, 2817, 19964, 5240, 563, 2414, 645, 1245, 569, 3619, 7316, 3143, 630, 310, 334, 264, 10048, 13201, 717, 821, 6969, 2507, 676, 19964, 28154, 4880, 22781, 4354, 4471, 563, 301, 545, 3559, 548, 17880, 11169, 4477, 6244, 8331, 16505, 21940, 2456, 593, 3047, 543, 538, 6611, 267, 8331, 10993, 454, 300, 2801, 8349, 808, 655, 2581, 268, 634, 3689, 3979, 1977, 19716, 538, 6611, 267, 26629, 806, 540, 3778, 676, 667, 6511, 700, 4861, 16037, 563, 22129, 16709, 910, 8331, 19475, 693, 519, 2817, 19964, 454, 2791, 1589, 596, 666, 9794, 803, 11631, 286, 0, 4407, 596, 616, 10409, 5079, 543, 922, 3095, 609, 2165, 568, 4143, 547, 1022, 6848, 2796, 6382, 954, 32643, 12460, 267, 799, 2078, 568, 16887, 32330, 547, 1378, 19366, 5095, 6849, 1893, 2542, 543, 596, 666, 1893, 7816, 454, 16920, 3363, 1797, 1312, 513, 1434, 15226, 779, 4664, 547, 519, 570, 299, 1895, 607, 1134, 607, 570, 299, 2818, 685, 3206, 883, 15226, 779, 4633, 1858, 267, 1317, 1582, 18101, 1211, 11994, 883, 1312, 2356, 2693, 547, 581, 2337, 700, 273, 2542, 982, 2942, 3206, 609, 519, 1312, 563, 3412, 680, 1221, 2179, 540, 7622, 3823, 570, 299, 2749, 5267, 602, 519, 6216, 1007, 12675, 1053, 3251, 2987, 519, 4195, 1007, 570, 299, 1858, 267, 513, 2603, 811, 2693, 621, 779, 602, 789, 3580, 1118, 9488, 4296, 593, 519, 570, 299, 1362, 1247, 2348, 1259, 811, 26136, 585, 4974, 563, 24552, 1521, 2048, 338, 519, 4250, 610, 11688, 2787, 21295, 538, 6158, 513, 16994, 700, 273, 3823, 952, 519, 10584, 1419, 1397, 922, 9133, 7561, 610, 952, 519, 700, 273, 6165, 786, 581, 20335, 3857, 958, 563, 301, 677, 517, 1797, 4199, 2899, 519, 513, 15226, 779, 7029, 547, 700, 273, 4974, 267, 799, 10115, 538, 3009, 12423, 568, 1256, 513, 1434, 5092, 950, 596, 1413, 693, 519, 835, 779, 2012, 454, 12892, 993, 10270, 949, 849, 1118, 2566, 543, 4160, 267, 621, 568, 519, 1267, 540, 968, 25912, 1007, 771, 528, 1304, 566, 1336, 32448, 540, 17511, 513, 1114, 2528, 269, 543, 713, 11651, 1206, 942, 543, 1719, 856, 540, 2034, 1913, 1620, 892, 630, 5576, 30977, 267, 476, 2735, 277, 2073, 533, 269, 476, 4343, 274, 1916, 292, 2998, 12656, 1889, 1464, 27605, 883, 1620, 602, 519, 2043, 10409, 3435, 1020, 3919, 10665, 1369, 519, 2576, 779, 2212, 543, 581, 6650, 1889, 762, 269, 661, 2998, 12656, 1889, 1464, 267, 1287, 267, 568, 519, 15226, 779, 7274, 540, 771, 514, 22128, 543, 596, 666, 22371, 865, 596, 666, 570, 299, 1826, 538, 563, 7212, 519, 6452, 738, 4851, 7844, 6589, 585, 540, 1896, 596, 616, 2111, 547, 6381, 602, 666, 1764, 513, 1268, 779, 1893, 1620, 1702, 540, 519, 5767, 570, 299, 8378, 267, 621, 3091, 922, 10148, 609, 922, 12170, 3301, 269, 2290, 547, 1134, 8153, 3390, 568, 865, 621, 1281, 711, 3142, 606, 11807, 5943, 585, 875, 835, 779, 2123, 2012, 4249, 513, 1909, 538, 934, 738, 4851, 267, 6382, 538, 4641, 1175, 875, 3961, 2094, 513, 1514, 4020, 666, 581, 2813, 950, 596, 1413, 693, 519, 21376, 26176, 2088, 12602, 602, 949, 28148, 4743, 2043, 685, 700, 273, 2866, 3435, 267, 2409, 267, 543, 596, 666, 3206, 269, 5015, 267, 621, 779, 4122, 23503, 602, 3961, 2119, 3742, 543, 596, 666, 11630, 547, 16311, 566, 543, 596, 949, 19908, 1524, 12517, 547, 713, 1826, 540, 4222, 1114, 10118, 630, 9093, 731, 8862, 541, 19213, 267, 476, 1220, 280, 6902, 17368, 517, 267, 476, 1001, 274, 6902, 17547, 267, 476, 1001, 275, 6902, 11023, 9109, 17368, 517, 267, 476, 1001, 276, 30155, 5804, 713, 5133, 267, 824, 1007, 1374, 547, 1378, 1620, 519, 6848, 5133, 2476, 689, 6863, 1565, 2048, 338, 519, 2856, 540, 968, 21129, 3496, 2223, 2899, 519, 17695, 1242, 540, 519, 17368, 517, 630, 1220, 271, 264, 1547, 18738, 1200, 630, 1220, 271, 264, 1451, 689, 3009, 2542, 1851, 19366, 21031, 538, 4516, 267, 1519, 267, 17368, 517, 2982, 1007, 6528, 3386, 26176, 2088, 1894, 596, 547, 9090, 4137, 2043, 685, 700, 273, 2542, 3681, 267, 543, 875, 519, 1419, 12790, 6848, 17568, 666, 1764, 922, 7616, 538, 700, 273, 4974, 269, 634, 1523, 540, 3854, 1223, 723, 1044, 2322, 593, 1082, 2090, 689, 3330, 519, 519, 2250, 1906, 1296, 630, 8000, 22603, 267, 476, 1220, 275, 6902, 12390, 20364, 267, 476, 1220, 276, 6902, 11612, 326, 1231, 267, 476, 1001, 272, 6902, 18498, 267, 521, 8807, 13776, 543, 596, 949, 3226, 538, 519, 4055, 1055, 4179, 2517, 323, 908, 17213, 532, 14492, 270, 515, 730, 268, 3530, 4202, 21623, 575, 25311, 3961, 543, 596, 786, 1893, 946, 883, 519, 606, 25981, 19366, 5133, 630, 301, 677, 517, 267, 476, 1220, 271, 282, 4787, 559, 2023, 4149, 2643, 1407, 614, 267, 476, 1220, 273, 6902, 9093, 731, 8862, 541, 19213, 267, 476, 1220, 280, 6902, 21919, 3385, 267, 476, 1001, 271, 15426, 3767, 267, 11023, 9109, 543, 596, 666, 17368, 517, 630, 1001, 276, 264, 15974, 513, 811, 2143, 6216, 540, 2883, 1489, 267, 19163, 596, 547, 9090, 1317, 11528, 19367, 1055, 1852, 616, 1360, 782, 519, 811, 18334, 18476, 267, 2883, 1489, 711, 8806, 2501, 547, 6003, 267, 849, 12969, 338, 602, 723, 12550, 26176, 2088, 3889, 267, 971, 607, 585, 3236, 16809, 543, 596, 949, 5092, 267, 543, 713, 267, 2059, 609, 1200, 267, 22010, 606, 1367, 779, 10409, 2883, 1489, 563, 1103, 519, 2796, 540, 18280, 8205, 267, 606, 13166, 1617, 13308, 1858, 267, 19366, 5095, 1058, 849, 1865, 922, 10409, 9163, 1472, 1312, 5053, 543, 596, 786, 18280, 534, 269, 1677, 4865, 11082, 540, 5053, 2389, 22736, 4025, 267, 713, 1184, 1055, 19908, 1522, 581, 6766, 676, 513, 840, 28004, 25505, 585, 5678, 267, 23344, 513, 17386, 3099, 540, 4050, 1231, 983, 5053, 269, 20553, 519, 513, 1353, 540, 10409, 8456, 543, 596, 949, 19237, 267, 570, 3402, 338, 6261, 732, 571, 543, 596, 786, 1715, 2006, 630, 1220, 280, 264, 4121, 602, 5824, 268, 26410, 1004, 25461, 1732, 2797, 4274, 547, 948, 596, 5678, 2864, 982, 18280, 534, 267, 1813, 547, 922, 1373, 2484, 811, 1644, 267, 1312, 17801, 1227, 543, 8059, 12264, 267, 1256, 1310, 5310, 711, 8159, 609, 4050, 1231, 983, 2146, 269, 1452, 8753, 7132, 15666, 547, 602, 689, 4505, 2866, 267, 971, 607, 585, 3236, 3738, 2073, 538, 799, 5824, 7819, 2818, 8612, 3648, 811, 6225, 8456, 593, 519, 5678, 982, 1175, 18280, 534, 269, 0, 26668, 18266, 338, 1411, 8550, 17451, 3231, 660, 6168, 22960, 454, 1692, 798, 596, 5581, 22960, 286, 901, 2110, 2376, 786, 2638, 856, 519, 1585, 2035, 536, 867, 1359, 13910, 267, 689, 25895, 7506, 547, 1514, 2796, 269, 634, 2474, 5071, 267, 674, 611, 267, 543, 12745, 782, 1404, 513, 2629, 1599, 538, 10747, 519, 2495, 540, 22960, 269, 4495, 596, 1174, 519, 9238, 540, 6752, 267, 596, 666, 946, 873, 547, 707, 1378, 5008, 564, 269, 1717, 1175, 875, 666, 596, 5431, 799, 3270, 2339, 585, 596, 286, 19321, 2542, 585, 930, 1271, 4388, 269, 901, 2110, 2376, 729, 2813, 609, 596, 538, 2247, 269, 898, 568, 1898, 547, 5431, 607, 1134, 607, 5660, 519, 1871, 540, 1142, 540, 891, 2093, 269, 12183, 1205, 1399, 454, 2467, 616, 1896, 6163, 540, 7802, 267, 2943, 835, 540, 519, 1034, 18476, 835, 568, 519, 15851, 2511, 269, 634, 5929, 2511, 568, 15851, 267, 607, 1134, 607, 621, 31825, 606, 2011, 540, 3318, 1143, 543, 2359, 269, 901, 1413, 568, 3617, 585, 2754, 5468, 269, 898, 5161, 540, 2241, 3109, 543, 3043, 7802, 609, 513, 5929, 3337, 267, 971, 607, 4571, 328, 1236, 16630, 267, 8546, 1236, 16630, 267, 607, 1134, 607, 2786, 27890, 269, 634, 2413, 6377, 15851, 1374, 568, 13974, 10427, 855, 26779, 3270, 883, 922, 28459, 269, 1280, 3236, 267, 513, 4807, 538, 713, 1374, 786, 6157, 2322, 593, 513, 737, 327, 13403, 23469, 751, 324, 25099, 267, 513, 8642, 512, 6879, 7398, 267, 513, 1804, 12966, 267, 607, 1134, 607, 2653, 14446, 269, 3045, 1205, 1399, 1107, 28957, 454, 2304, 3606, 2511, 540, 2511, 568, 1572, 519, 1148, 1910, 2511, 269, 901, 2511, 568, 1585, 689, 6671, 8888, 607, 1134, 607, 568, 3335, 4857, 676, 2178, 4778, 267, 27105, 16493, 267, 543, 849, 16613, 3029, 269, 898, 779, 11338, 4749, 1688, 13402, 543, 5059, 1472, 5876, 269, 1411, 3580, 1294, 12372, 543, 849, 19511, 2043, 1210, 713, 2186, 540, 23157, 269, 1411, 3580, 2693, 12398, 621, 9157, 547, 3713, 891, 2043, 538, 707, 4948, 1272, 267, 2705, 621, 779, 1034, 9090, 4502, 12394, 269, 12989, 616, 930, 8320, 540, 1142, 1374, 281, 8709, 612, 320, 1205, 1399, 1920, 3529, 454, 7628, 519, 2022, 11897, 12009, 8653, 267, 519, 8561, 593, 6752, 12012, 689, 513, 2790, 21169, 547, 513, 25349, 835, 269, 29464, 2349, 10179, 10924, 602, 5561, 941, 519, 6117, 2604, 585, 14842, 543, 602, 9367, 685, 1599, 729, 547, 5581, 7104, 16919, 269, 918, 1177, 600, 3120, 267, 18562, 267, 2808, 2511, 547, 581, 606, 1271, 8102, 656, 538, 7082, 2623, 269, 1261, 1064, 1243, 602, 5561, 685, 4664, 607, 1134, 607, 8823, 1106, 519, 2623, 540, 513, 6216, 2012, 269, 19452, 267, 519, 1514, 2796, 540, 6752, 814, 9450 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1762, 1004, 949, 711, 2995, 741, 3237, 827, 875, 789, 616, 4743, 269, 1358, 949, 711, 581, 3222, 540, 741, 1378, 14920, 5310, 267, 543, 267, 952, 789, 616, 267, 789, 949, 581, 2348, 7965, 538, 4947, 547, 2474, 609, 621, 269, 2368, 949, 711, 2995, 741, 3237, 585, 4250, 540, 18349, 267, 1247, 1866, 949, 1745, 267, 543, 1256, 4126, 602, 968, 527, 568, 1175, 513, 5123, 5608, 610, 968, 527, 786, 1780, 5608, 543, 4061, 602, 972, 568, 1100, 991, 547, 2995, 4896, 563, 5278, 1453, 949, 1745, 29405, 539, 543, 13347, 952, 596, 6318, 519, 19583, 602, 789, 616, 10349, 269, 10088, 2286, 519, 1641, 18549, 949, 581, 513, 1434, 1259, 547, 1376, 269, 1411, 1223, 2253, 676, 6158, 547, 707, 1126, 827, 3023, 543, 3347, 269, 1411, 1223, 3746, 1047, 602, 596, 1616, 873, 547, 581, 6126, 543, 5150, 543, 602, 596, 786, 2141, 1489, 873, 1100, 2339, 1018, 1272, 3664, 789, 1118, 563, 2252, 596, 666, 1397, 602, 596, 616, 17159, 827, 6158, 827, 14920, 267, 543, 602, 596, 723, 782, 519, 2556, 5013, 267, 1287, 707, 1126, 949, 581, 811, 2693, 547, 2911, 547, 596, 827, 875, 789, 616, 4743, 269, 0, 763, 14206, 543, 8938, 23867, 5553, 723, 5189, 513, 581, 32612, 1359, 5044, 540, 1007, 2326, 267, 1031, 547, 1374, 513, 3376, 2039, 540, 3615, 1631, 6394, 538, 15882, 267, 8021, 267, 543, 21517, 269, 3509, 13742, 941, 2966, 547, 2063, 585, 5553, 267, 1247, 1866, 267, 1498, 2899, 5499, 267, 1397, 4191, 540, 21324, 269, 27413, 1689, 543, 28201, 267, 3889, 6336, 741, 8699, 538, 796, 656, 4602, 730, 2081, 267, 543, 1570, 3334, 1831, 28572, 269, 8836, 5238, 1590, 1174, 519, 1279, 3856, 11091, 2115, 540, 891, 3688, 538, 1931, 547, 3313, 3617, 14422, 585, 5726, 267, 4859, 267, 14266, 267, 12319, 267, 543, 7857, 1436, 269, 901, 1079, 6377, 10554, 786, 2263, 519, 13057, 3741, 540, 10655, 543, 12391, 585, 13742, 540, 1883, 8978, 2956, 689, 519, 2487, 2250, 269, 19893, 786, 7390, 2489, 7886, 538, 519, 6640, 543, 1287, 2824, 689, 21276, 7886, 538, 519, 12784, 563, 1607, 1982, 568, 5497, 585, 10070, 1416, 5234, 3743, 585, 25643, 267, 1225, 908, 267, 25137, 267, 543, 2895, 1516, 2413, 543, 4207, 2326, 563, 12749, 923, 547, 581, 4988, 1331, 912, 268, 15154, 827, 10655, 454, 268, 11554, 609, 2713, 5159, 281, 519, 7376, 270, 4621, 969, 1807, 2078, 454, 268, 4197, 2413, 2326, 454, 268, 11814, 532, 2326, 609, 7915, 13030, 454, 268, 3955, 31147, 10070, 689, 519, 2487, 2250, 454, 268, 13751, 543, 10677, 2152, 454, 268, 11814, 532, 519, 11786, 454, 268, 7316, 798, 649, 979, 689, 1934, 888, 28899, 7616, 585, 713, 1982, 729, 1252, 3585, 3177, 676, 519, 2817, 7736, 578, 618, 585, 519, 28299, 267, 609, 3606, 7616, 689, 634, 623, 1168, 4077, 3386, 11565, 338, 267, 519, 12425, 7027, 593, 519, 8551, 267, 634, 15740, 8836, 8750, 267, 543, 519, 14412, 7690, 269, 0, 291, 600, 720, 538, 13243, 779, 6196, 4975, 1739, 513, 5147, 476, 1556, 267, 476, 4572, 278, 267, 13091, 269, 2290, 540, 519, 1101, 16767, 593, 519, 16458, 7256, 674, 5435, 547, 581, 6592, 676, 2413, 17688, 4919, 2553, 267, 621, 6603, 476, 277, 269, 273, 593, 519, 6762, 614, 4336, 269, 634, 12473, 10938, 729, 538, 519, 7187, 851, 540, 519, 16458, 7256, 269, 17421, 5491, 281, 1977, 2051, 3415, 23392, 267, 1977, 2051, 3415, 14635, 563, 763, 1655, 17688, 5505, 538, 519, 1158, 1810, 1406, 917, 950, 519, 1985, 2462, 13091, 786, 5734, 269, 1809, 513, 20052, 2997, 643, 2160, 2520, 6048, 5267, 602, 13091, 3270, 6592, 538, 3140, 6054, 540, 5664, 8109, 2477, 5815, 602, 519, 3148, 779, 1985, 1713, 844, 820, 568, 1279, 936, 16746, 563, 288, 2101, 844, 820, 540, 9588, 5722, 593, 519, 6762, 614, 4336, 538, 519, 20833, 1922, 4048, 850, 3148, 540, 519, 5664, 5101, 1223, 723, 25680, 4539, 585, 10475, 13411, 4609, 543, 1256, 1158, 4708, 267, 3081, 20052, 2997, 643, 2160, 2520, 6048, 3220, 269, 1744, 332, 592, 1731, 3057, 1723, 269, 769, 1769, 540, 713, 31873, 8594, 267, 3057, 1723, 267, 689, 519, 1153, 779, 4972, 540, 2983, 2684, 12695, 543, 4643, 8767, 7070, 267, 814, 3144, 606, 3140, 1935, 547, 13091, 20925, 676, 1210, 3504, 5638, 689, 519, 28912, 543, 824, 3909, 2959, 538, 1010, 4879, 269, 634, 2250, 6585, 519, 1883, 547, 519, 2104, 267, 646, 3081, 563, 2108, 5472, 540, 721, 538, 519, 3148, 1058, 581, 14126, 2223, 6941, 3057, 1723, 267, 945, 4142, 545, 919, 1010, 4876, 547, 2650, 1424, 1927, 3504, 10881, 563, 17780, 593, 519, 16627, 540, 7366, 540, 6054, 4534, 930, 540, 519, 5169, 1023, 540, 799, 646, 17648, 21078, 538, 28912, 29256, 338, 4534, 3057, 1723, 814, 5280, 3313, 602, 513, 3126, 540, 14042, 16767, 723, 5734, 519, 10513, 8092, 936, 519, 2063, 1079, 8536, 1296, 269, 634, 2101, 3283, 941, 6592, 2059, 519, 16888, 9503, 538, 519, 1296, 476, 4029, 645, 5861, 9950, 1421, 476, 3607, 274, 595, 9950, 1421, 476, 278, 5392, 595, 9950, 1421, 543, 476, 9818, 274, 595, 9950, 269, 968, 3383, 10199, 2223, 29808, 3057, 1723, 267, 968, 933, 616, 6158, 827, 606, 8884, 540, 1169, 476, 6110, 1296, 269, 1403, 649, 1246, 519, 3270, 540, 2470, 267, 513, 2101, 844, 820, 1058, 581, 4397, 1022, 942, 1317, 3592, 513, 2898, 26992, 814, 5293, 2094, 519, 2063, 2178, 13091, 540, 476, 9818, 274, 3034, 24309, 676, 26112, 543, 23464, 267, 519, 6054, 267, 799, 12732, 827, 1079, 1984, 29646, 267, 666, 948, 3313, 519, 4087, 543, 1764, 540, 2104, 844, 1389, 593, 1896, 13337, 14742, 5969, 998, 5840, 543, 922, 15231, 2477, 267, 3057, 1723, 11099, 269, 968, 2171, 946, 519, 5638, 267, 2854, 538, 13039, 543, 20708, 625, 610, 676, 1200, 332, 1080, 538, 519, 9390, 267, 547, 1265, 3270, 2223, 646, 3081, 269, 3057, 1723, 17099, 519, 948, 540, 606, 3486, 2319, 540, 12206, 267, 945, 723, 1232, 760, 22363, 519, 5824, 267, 5259, 267, 543, 12428, 540, 519, 3312, 19359, 563, 3891, 5170, 267, 968, 10214, 952, 891, 4574, 941, 711, 2048, 334, 1553, 6053, 685, 10916, 1686, 267, 789, 3180, 513, 2603, 540, 1344, 269, 3267, 2368, 616, 5022, 547, 2342, 6998, 585, 7616, 540, 5939, 18203, 269, 1656, 1247, 1082, 540, 891, 6589, 616, 5143, 538, 606, 2895, 24191, 3909, 6073, 267, 789, 948, 721, 6166, 519, 7389, 543, 4087, 540, 2101, 1608, 600, 885, 269, 11374, 891, 3270, 538, 519, 2250, 666, 581, 513, 1434, 27667, 540, 519, 2104, 3034, 3080, 540, 519, 1034, 11855, 4168, 5312, 6840, 538, 1686, 2390, 7247, 3057, 1723, 13279, 930, 540, 1010, 8753, 568, 513, 27630, 10601, 20850, 18211, 7095, 31494, 3957, 634, 2684, 6951, 267, 9006, 23306, 2221, 676, 23597, 269, 769, 835, 12377, 267, 634, 2684, 6951, 5206, 267, 968, 288, 1390, 13091, 538, 21157, 267, 676, 519, 16888, 543, 538, 782, 540, 16850, 593, 476, 1240, 5130, 538, 519, 476, 275, 628, 5662, 269, 7089, 1652, 1617, 6421, 829, 1639, 267, 13039, 543, 20708, 625, 25540, 2523, 538, 519, 9390, 540, 519, 10513, 4975, 3034, 4407, 4168, 2959, 5280, 3057, 1723, 6166, 3504, 15166, 1886, 1127, 543, 5641, 1769, 593, 2104, 3283, 267, 6014, 2959, 689, 519, 6426, 849, 5795, 1864, 1507, 4773, 540, 519, 11015, 269, 589, 14235, 538, 2098, 778, 7559, 327, 630, 2419, 269, 476, 1691, 264, 6257, 1079, 8320, 540, 16767, 267, 835, 540, 799, 8237, 6306, 519, 6778, 540, 9986, 1161, 267, 646, 3081, 269, 7332, 23464, 723, 849, 6394, 3504, 19359, 267, 799, 2417, 3376, 839, 519, 4605, 563, 892, 24618, 638, 1389, 616, 513, 23314, 540, 4514, 3157, 3330, 519, 3618, 2223, 3057, 1723, 3081, 269, 968, 7069, 2055, 543, 2079, 4983, 875, 1419, 789, 2049, 543, 2436, 972, 568, 4806, 547, 873, 267, 9389, 958, 610, 22883, 6053, 269, 594, 993, 3168, 585, 3270, 543, 594, 666, 2161, 602, 1759, 593, 3504, 5638, 267, 519, 4806, 538, 5840, 1472, 519, 16458, 7256, 3148, 568, 519, 1034, 23892, 547, 721, 563, 2108, 2691, 621, 16716, 543, 621, 786, 713, 844, 820, 786, 1860, 2549, 2006, 267, 16888, 607, 1134, 607, 10548, 718, 1695, 267, 21861, 548, 1335, 267, 543, 13243, 269, 32495, 1389, 1810, 1406, 1416, 827, 4984, 610, 2797, 6302, 2223, 3057, 1723, 20147, 563, 24730, 670, 6064, 320, 1923, 31823, 2336, 10932, 24259, 1007, 1769, 593, 4229, 602, 21279, 6213, 5032, 6050, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 18518, 2160, 454, 22498, 12034, 519, 1439, 540, 608, 6874, 7211, 20676, 821, 476, 6349, 310, 454, 2641, 269, 6860, 269, 1001, 278, 1923, 8331, 27798, 15957, 731, 6611, 22947, 4741, 454, 5415, 543, 811, 18914, 3549, 616, 2519, 593, 1560, 2694, 1500, 540, 3327, 6775, 18674, 15229, 630, 20003, 14641, 1040, 1717, 267, 5663, 543, 7816, 3790, 1590, 581, 2417, 4389, 538, 1931, 547, 1118, 18435, 14641, 811, 22237, 538, 946, 269, 8625, 609, 519, 5292, 802, 342, 10402, 17985, 543, 2947, 824, 4891, 538, 519, 1788, 4591, 20075, 1805, 476, 274, 291, 267, 519, 21558, 2098, 550, 5300, 30567, 1478, 552, 17679, 269, 630, 299, 313, 295, 264, 814, 2919, 8955, 3157, 585, 519, 13128, 16013, 2719, 267, 17656, 543, 7816, 540, 1614, 8820, 3334, 563, 8505, 558, 730, 5663, 3157, 616, 519, 4493, 585, 6038, 9591, 519, 3126, 2504, 540, 18435, 14641, 3334, 269, 769, 519, 1788, 4591, 20075, 1805, 476, 274, 291, 267, 519, 700, 313, 295, 814, 2483, 8269, 22162, 519, 2497, 540, 29322, 1336, 538, 2470, 543, 519, 3504, 1158, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 723, 24704, 6094, 3327, 31407, 4209, 630, 290, 18199, 264, 20955, 602, 8858, 1312, 1164, 5122, 19428, 543, 513, 1377, 540, 32297, 602, 568, 827, 15823, 2053, 2362, 982, 7601, 8874, 267, 4867, 1031, 538, 11418, 563, 10454, 7293, 7347, 1145, 540, 6094, 4496, 8874, 814, 1713, 2956, 585, 519, 6325, 5106, 540, 5100, 2960, 543, 8465, 11418, 1519, 2483, 763, 7404, 267, 9649, 5925, 14925, 631, 9262, 14747, 513, 2706, 21346, 633, 3109, 8559, 630, 289, 295, 264, 543, 568, 1134, 8153, 585, 922, 6505, 15191, 2531, 3215, 519, 8552, 936, 4557, 9753, 540, 9588, 538, 4908, 269, 9603, 547, 922, 16133, 267, 15191, 23146, 267, 543, 519, 1804, 3109, 8559, 2527, 267, 631, 9262, 568, 519, 1655, 8047, 585, 14236, 519, 5250, 267, 10231, 267, 543, 2458, 11582, 540, 8887, 643, 2065, 32062, 269, 589, 1382, 2319, 3366, 676, 8125, 651, 2826, 7999, 689, 519, 7665, 23851, 4659, 585, 15571, 18395, 538, 12844, 333, 267, 5125, 267, 814, 1336, 2178, 16315, 585, 24360, 3157, 8220, 519, 934, 4958, 542, 12210, 543, 519, 15191, 540, 602, 14925, 3246, 4030, 883, 519, 32618, 1966, 540, 519, 5169, 540, 28936, 9713, 32062, 563, 21841, 21346, 633, 3109, 9475, 1106, 930, 540, 519, 1034, 28430, 9259, 538, 28936, 12695, 269, 4256, 11999, 1648, 3977, 568, 9277, 547, 581, 6383, 676, 519, 2483, 763, 5506, 547, 1265, 513, 1978, 1297, 540, 22726, 3330, 513, 8955, 13942, 2356, 14687, 547, 513, 8106, 3892, 540, 4830, 2621, 267, 519, 865, 10777, 2483, 31466, 1886, 549, 25600, 1759, 593, 11046, 1227, 6094, 2326, 3180, 519, 9153, 540, 519, 4720, 540, 2757, 21932, 607, 1134, 607, 1007, 3156, 538, 519, 2361, 540, 8465, 11418, 269, 3767, 267, 513, 570, 308, 654, 1329, 1382, 2319, 3366, 676, 7338, 28228, 28705, 814, 1500, 513, 14634, 538, 713, 2361, 607, 851, 540, 606, 5571, 1382, 1788, 563, 10521, 8820, 2326, 267, 610, 476, 273, 291, 2326, 585, 2110, 267, 616, 5393, 11684, 267, 4352, 1107, 610, 1419, 811, 10502, 1317, 1107, 789, 616, 1500, 909, 540, 1175, 835, 610, 513, 2483, 736, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 1240, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 6734, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 10049, 7070, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 5020, 7070 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 14093, 602, 8637, 519, 5691, 1899, 11090, 267, 519, 1985, 1305, 540, 21276, 5528, 9783, 676, 519, 556, 4650, 17280, 476, 3953, 4607, 267, 17990, 269, 1403, 519, 3977, 1852, 1770, 476, 3445, 288, 25849, 532, 513, 3965, 1899, 547, 519, 1305, 540, 5528, 9783, 693, 519, 1482, 942, 3587, 602, 693, 519, 3965, 4087, 476, 14093, 10710, 5691, 1899, 11090, 1213, 7757, 269, 1403, 6044, 3515, 616, 6569, 1813, 547, 7936, 3765, 335, 1042, 2109, 267, 519, 5691, 1899, 11090, 666, 581, 19268, 547, 519, 5691, 1899, 11090, 602, 5205, 519, 5691, 1899, 11090, 8655, 547, 519, 3765, 335, 9438, 539, 7936, 6044, 269, 634, 5691, 1899, 11090, 568, 519, 11090, 602, 4422, 547, 519, 30063, 10473, 476, 2420, 2073, 519, 4452, 1315, 4558, 1770, 476, 2918, 543, 824, 2694, 540, 519, 31110, 19485, 476, 1015, 799, 4309, 519, 556, 4650, 17280, 16776, 563, 763, 835, 547, 581, 4330, 1631, 476, 277, 2982, 513, 6041, 540, 519, 4276, 540, 1267, 21772, 476, 4343, 543, 700, 306, 1267, 21772, 476, 5780, 609, 606, 1383, 540, 513, 3965, 1899, 476, 10441, 288, 2073, 634, 1267, 1668, 568, 3254, 476, 4343, 288, 689, 519, 6198, 2359, 476, 2190, 288, 2073, 519, 1267, 1668, 476, 4343, 289, 689, 519, 6198, 2359, 476, 2190, 289, 2073, 543, 519, 1267, 1668, 476, 4343, 290, 689, 519, 6198, 2359, 476, 2190, 290, 2073, 5221, 519, 31110, 19485, 476, 1015, 6378, 3977, 7158, 616, 1031, 543, 972, 568, 606, 6044, 2361, 476, 8099, 910, 476, 14625, 14687, 547, 513, 1978, 3977, 2990, 267, 1142, 1267, 1668, 476, 4343, 609, 513, 1808, 6044, 2361, 476, 8099, 910, 476, 14625, 4448, 538, 1142, 3965, 1899, 269, 769, 824, 1913, 267, 2164, 616, 593, 519, 1267, 1668, 476, 4343, 288, 616, 10299, 538, 519, 1101, 6044, 2361, 476, 8099, 10710, 282, 11778, 593, 519, 2164, 1668, 476, 4343, 289, 616, 10299, 538, 519, 2034, 6044, 2361, 476, 12208, 10710, 282, 543, 2164, 593, 519, 1267, 1668, 476, 4343, 290, 616, 10299, 538, 519, 3791, 6044, 2361, 476, 14625, 10710, 563, 277, 2982, 602, 519, 6198, 4559, 476, 2190, 1152, 835, 1899, 11090, 593, 519, 1267, 21772, 476, 4343, 547, 519, 556, 4650, 17280, 476, 3953, 991, 547, 10141, 269, 634, 15558, 1369, 519, 1899, 630, 773, 519, 1880, 6044, 538, 519, 6044, 1899, 264, 568, 7915, 538, 519, 1668, 593, 799, 519, 1267, 21128, 269, 634, 1267, 1852, 1668, 476, 9834, 3096, 519, 1899, 11090, 547, 2697, 519, 3965, 1899, 547, 581, 8242, 543, 519, 6044, 2361, 593, 519, 1899, 568, 8850, 8655, 607, 519, 1152, 6044, 2361, 547, 799, 519, 1880, 1267, 1668, 786, 581, 9619, 476, 4343, 288, 910, 4343, 290, 666, 3977, 513, 1871, 563, 2005, 1058, 581, 7074, 602, 676, 8848, 1005, 519, 31110, 19485, 476, 1015, 609, 1896, 6378, 267, 27101, 3977, 7158, 540, 519, 31110, 19485, 476, 1015, 568, 2111, 547, 3390, 3677, 2338, 540, 5528, 8195, 982, 31110, 25600, 602, 723, 12623, 20470, 3390, 7158, 543, 1899, 15129, 556, 4650, 10889, 619, 269, 5221, 519, 21136, 3390, 7158, 14892, 519, 1482, 15410, 540, 5528, 267, 1022, 1895, 540, 5528, 1369, 519, 15410, 666, 581, 9783, 547, 543, 13401, 676, 519, 21136, 3390, 7158, 693, 519, 1482, 942, 269, 17957, 267, 12623, 13240, 3390, 7158, 616, 3908, 547, 1978, 2516, 540, 5528, 1369, 519, 15410, 602, 616, 13401, 676, 519, 12623, 13240, 3390, 7158, 607, 513, 2898, 269, 1280, 1383, 267, 952, 2789, 5528, 666, 581, 5697, 585, 21800, 3977, 267, 855, 1152, 835, 540, 519, 12623, 20470, 3977, 7158, 568, 27358, 547, 14892, 519, 2789, 5528, 267, 1287, 3335, 1152, 835, 540, 519, 2789, 5528, 666, 581, 3977, 693, 835, 942, 269, 4634, 952, 519, 3390, 2990, 568, 27358, 547, 4309, 2789, 9783, 5528, 693, 519, 1482, 942, 267, 519, 3390, 2990, 666, 1152, 14892, 835, 540, 519, 5528, 693, 513, 942, 269, 1924, 789, 960, 538, 519, 31110, 19485, 476, 1015, 27358, 6378, 267, 27101, 3977, 7158, 538, 4276, 609, 519, 3965, 3515, 538, 519, 556, 867, 1359, 17280, 476, 3953, 547, 5512, 1164, 6044, 3390, 543, 11056, 3928, 563, 763, 12123, 1315, 4859, 1770, 476, 2918, 593, 519, 824, 1688, 267, 1281, 711, 5330, 547, 513, 1808, 6378, 3977, 2990, 269, 634, 12123, 1315, 4859, 1770, 476, 2918, 4061, 3947, 513, 1899, 11090, 543, 606, 15558, 11090, 593, 519, 700, 306, 1267, 21772, 476, 5780, 856, 269, 634, 700, 306, 1267, 21772, 476, 5780, 616, 4448, 547, 1142, 2361, 540, 3965, 3515, 267, 865, 602, 2164, 689, 519, 4452, 1315, 4558, 1770, 476, 2918, 666, 581, 9447, 267, 9337, 1142, 6044, 2361, 269, 634, 1880, 6044, 2361, 602, 568, 8242, 676, 513, 1880, 1267, 568, 4857, 676, 519, 15558, 11090, 10299, 609, 621, 563, 763, 835, 547, 581, 4330, 1631, 476, 278, 7612, 476, 274, 2982, 513, 3625, 6516, 540, 513, 6712, 540, 21341, 2638, 7954, 1031, 676, 835, 20032, 540, 519, 556, 4650, 17280, 476, 3953, 568, 1031, 269, 898, 568, 519, 1101, 6044, 2361, 476, 8099, 689, 513, 4859, 1899, 476, 10441, 288, 607, 1134, 607, 513, 4086, 1807, 476, 6344, 288, 543, 513, 5734, 7954, 3625, 476, 14338, 3254, 269, 634, 4086, 1807, 476, 6344, 288, 11392, 519, 3077, 1766, 663, 8446, 689, 519, 6044, 2361, 476, 8099, 2073, 543, 519, 2063, 2987, 1532, 4428, 518, 630, 299, 29368, 264, 20726, 269, 634, 4086, 1807, 849, 11392, 476, 6344, 288, 513, 2707, 1766, 663, 32165, 689, 519, 1766, 663, 7662, 1668, 476, 2004, 630, 528, 689, 519, 6044, 4558, 476, 10844, 952, 513, 7936, 3765, 335, 1042, 2109, 6051, 568, 4867, 1373, 5340, 1040, 634, 4086, 1807, 476, 6344, 814, 606, 3977, 1899, 476, 14862, 288, 593, 602, 609, 519, 5734, 7954, 3625, 476, 14338, 4448, 568, 269, 634, 3977, 1899, 476, 14862, 288, 568, 15181, 952, 519, 3077, 1766, 663, 8446, 543, 519, 2707, 1766, 663, 8446, 616, 1336, 547, 581, 519, 1482, 538, 519, 6476, 543, 519, 22244, 289, 4063, 568, 1305, 269, 1403, 519, 1766, 663, 1541, 5874, 616, 711, 1336, 547, 581, 519, 1482, 538, 519, 6476, 610, 519, 22244, 289, 4063, 568, 711, 1305, 267, 519, 3977, 1899, 3587, 476, 14862, 288, 16981, 563, 763, 5734, 7954, 3625, 476, 14338, 11392, 519, 3977, 1899, 476, 14862, 288, 630, 7945, 607, 519, 3977, 3515, 476, 14862, 289, 1547, 476, 14862, 290, 543, 476, 14862, 291, 2687, 547, 476, 278, 2073, 3092, 12175, 2201, 519, 851, 540, 519, 5734, 7954, 3625, 476, 14338, 4607, 3977, 3515, 476, 14862, 2097, 689, 4086, 2209, 476, 6344, 799, 4309, 519, 1482, 2707, 1766, 663, 8446, 689, 519, 1766, 663, 7662, 1668, 269, 5221, 519, 22244, 289, 13525, 538, 519, 4086, 2209, 476, 6344, 568, 3769, 267, 1152, 4642, 610, 835, 540, 519, 3977, 3515, 476, 14862, 9783, 585, 513, 1808, 21341, 2638, 269, 634, 5734, 7954, 476, 14338, 666, 3976, 519, 556, 4650, 17280, 11090, 7222, 547, 519, 835, 15181, 3977, 1899, 476, 14862, 2824, 585, 6771, 607, 1766, 663, 11090, 269, 26875, 1436, 7954, 538, 519, 5734, 7954, 568, 711, 2838, 476, 14338, 547, 581, 3769, 269, 1280, 1383, 267, 519, 5734, 7954, 476, 14338, 3927, 723, 513, 2789, 343, 518, 602, 814, 556, 867, 1359, 17280, 16776, 607, 3403, 6786, 543, 3977, 3515, 476, 14862, 982, 3866, 8060, 563, 763, 5734, 7954, 3625, 476, 14338, 666, 10123, 581, 27358, 971, 602, 621, 759, 1115, 519, 22244, 289, 20726, 585, 606, 6044, 267, 952, 519, 2707, 1766, 663, 585, 799, 519, 5734, 7954, 3625, 476, 14338, 2488, 519, 21341, 1344, 267, 568, 849, 519, 3077, 1766, 663, 269, 1280, 1383, 267, 952, 519, 5734, 1899, 476, 14862, 288, 568, 15181, 543, 519, 4086, 1807, 476, 6344, 288, 11392, 513, 2707, 1315, 3077, 1766, 663, 267, 31591, 519, 5734, 7954, 476, 14338, 513, 19268, 22244, 289, 1899, 476, 14695, 288, 547, 519, 6044, 2361, 476, 8099, 2073, 16952, 22244, 289, 3515, 476, 14695, 519, 824, 4086, 2209, 666, 581, 10299, 9935, 547, 824, 6044, 4610, 476, 6344, 5330, 269, 898, 1058, 581, 7074, 602, 519, 4086, 1807, 3977, 6786, 476, 14862, 1763, 23293, 22244, 289, 3515, 476, 14695, 2094, 1152, 519, 6044, 585, 799, 519, 22244, 289, 5469, 568, 1305, 568, 1767, 547, 581, 1336, 547, 581, 519, 1482, 538, 6476, 563, 2005, 1058, 849, 581, 7074, 602, 538, 12589, 9323, 2676, 3602, 519, 1535, 10436, 31110, 19485, 6189, 568, 1031, 267, 1932, 454, 1492, 1766, 663, 2450, 1344, 454, 332, 755, 1831, 269, 634, 1826, 540, 21341, 454, 16216, 3052, 269, 10155, 539, 519, 1482, 267, 2484, 1932, 7522, 267, 610, 7522, 1932, 2647, 264, 568, 849, 454, 323, 17827, 607, 4330, 1657, 563, 763, 835, 547, 581, 4330, 1631, 476, 279, 628, 2982, 513, 1592, 540, 476, 9873, 1806, 540, 1344, 538, 606, 6044, 2361, 476, 13647, 268, 14625, 2687, 547, 513, 1808, 6388, 540, 519, 556, 4650, 17280, 476, 3953, 568, 10710, 269, 3245, 824, 12589, 9323, 267, 3606, 267, 4244, 610, 4244, 1344, 666, 581, 6740, 269, 6176, 547, 799, 3787, 8193, 568, 3773, 568, 3818, 19229, 1344, 269, 19227, 513, 2582, 3787, 568, 1031, 563, 763, 6044, 1267, 568, 6740, 538, 519, 6044, 2361, 267, 543, 519, 1267, 4570, 512, 580, 3787, 6920, 2436, 519, 6044, 1267, 814, 1044, 9447, 610, 711, 269, 5015, 267, 782, 9206, 11353, 602, 616, 8242, 616, 6740, 538, 519, 6044, 2361, 269, 634, 24072, 568, 1305, 952, 519, 6044, 568, 513, 7936, 269, 634, 700, 306, 318, 26239, 322, 3787, 568, 1305, 952, 4452, 1315, 4558, 759, 2106, 11388, 1436, 568, 2838, 269, 589, 4452, 15222, 1436, 949, 2154, 759, 2106, 11388, 1436, 630, 328, 4318, 1421, 11291, 532, 543, 556, 7721, 1815, 5024, 519, 6044, 543, 7766, 5528, 538, 1982, 1931, 264, 952, 519, 4452, 6044, 568, 5340, 856, 540, 1931, 543, 513, 2879, 17274, 5734, 568, 9571, 693, 519, 2232, 547, 799, 519, 4452, 6044, 568, 1569, 525, 1354, 11198, 532, 519, 15205, 6044, 269, 15350, 5528, 602, 9337, 519, 6044, 3009, 8659, 538, 519, 31110, 19485, 476, 1015, 533, 2056, 616, 849, 9571, 267, 799, 3123, 519, 700, 306, 318, 26239, 322, 3787, 547, 581, 1305, 269, 27491, 602, 1246, 519, 4558, 6044, 585, 799, 519, 3787, 568, 1305, 616, 27366, 543, 556, 7721, 1815, 3176, 269, 634, 590, 289, 313, 3787, 267, 950, 1305, 267, 6920, 602, 519, 7222, 6044, 568, 17146, 676, 4642, 269, 2290, 269, 20023, 6521, 568, 513, 3989, 9868, 585, 1535, 10436, 5528, 269, 1401, 4003, 543, 2736, 4812, 1344, 7222, 547, 519, 6044, 568, 849, 10710, 563, 2026, 2907, 5018, 267, 2063, 2987, 11060, 454, 27331, 6579, 264, 543, 2063, 2987, 1532, 4428, 518, 630, 299, 29368, 264, 1344, 6740, 585, 1142, 6044, 563, 763, 700, 6579, 543, 22244, 289, 1344, 14687, 547, 519, 3077, 11578, 267, 1247, 18919, 6579, 543, 454, 14566, 29368, 5330, 547, 519, 9206, 11578, 269, 9050, 22244, 289, 11353, 616, 1031, 454, 26421, 3296, 540, 519, 10278, 11578, 1373, 4553, 676, 606, 6044, 454, 1729, 1205, 20366, 454, 4754, 5330, 547, 835, 3787, 269, 634, 835, 547, 946, 538, 519, 21341, 6476, 454, 299, 29368, 3787, 666, 6474, 519, 2450, 540, 519, 2707, 1766, 663, 454, 7474, 568, 1373, 3379, 269, 769, 713, 1259, 621, 5540, 835, 454, 10000, 11845, 267, 552, 3052, 269, 645, 269, 568, 1500, 547, 519, 4888, 11578, 267, 711, 454, 17739, 547, 519, 9338, 11578, 269, 9050, 18919, 29368, 11353, 616, 849, 1031, 454, 7474, 519, 2185, 18919, 29368, 11353, 5330, 547, 2185, 2516, 540, 17514, 269, 589, 454, 14140, 1895, 3568, 454, 1492, 590, 19985, 2098, 19985, 623, 268, 543, 589, 268, 1080, 282, 513, 2034, 1895, 568, 519, 744, 3787, 282, 513, 454, 628, 2273, 1895, 568, 519, 667, 3787, 282, 543, 513, 8772, 1895, 568, 519, 595, 3787, 269, 5381, 547, 454, 1492, 18919, 29368, 11353, 5330, 547, 519, 18919, 6579, 11353, 540, 1142, 540, 2185, 2516, 540, 454, 14503, 4711, 269, 634, 2516, 616, 6074, 1759, 593, 519, 1826, 538, 454, 6518, 5036, 519, 1535, 10436, 6044, 10311, 585, 519, 17514, 563, 763, 700, 6579, 11353, 616, 1572, 1437, 725, 454, 4310, 547, 9337, 519, 11578, 3758, 1547, 1789, 269, 1924, 4283, 454, 299, 6579, 3787, 6920, 602, 519, 1034, 1713, 1079, 25466, 540, 519, 10278, 11578, 454, 2041, 8242, 676, 519, 6044, 602, 713, 6044, 2361, 454, 14585, 4046, 4637, 282, 513, 2034, 700, 6579, 3787, 6920, 602, 31632, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 972, 729, 513, 5458, 2706, 21466, 3957, 623, 878, 601, 578, 269, 5272, 7853, 6068, 2469, 547, 623, 878, 601, 578, 1317, 621, 1185, 865, 1082, 8748, 1919, 256, 3502, 1152, 1705, 621, 6133, 8949, 5613, 267, 5388, 267, 543, 26345, 13000, 267, 855, 621, 849, 6035, 1153, 7727, 543, 9660, 269, 1403, 1945, 729, 2877, 267, 623, 878, 601, 578, 1034, 2693, 4421, 621, 780, 3080, 13566, 12784, 267, 1079, 2828, 910, 21667, 543, 7665, 910, 4682, 547, 623, 878, 601, 578, 1310, 1153, 547, 4444, 1007, 31940, 269, 2755, 19855, 1114, 6810, 267, 21667, 8068, 875, 1978, 3688, 941, 14949, 982, 1866, 269, 2701, 4280, 1200, 3659, 267, 834, 16655, 267, 798, 596, 917, 1946, 930, 1919, 1934, 1942, 1447, 2724, 12482, 16655, 2219, 827, 621, 5402, 1354, 1065, 2391, 267, 834, 11039, 267, 594, 4121, 538, 1153, 602, 950, 811, 540, 513, 1587, 568, 1500, 267, 1142, 6221, 3587, 14949, 2094, 9755, 3262, 856, 741, 3790, 936, 3677, 9424, 269, 901, 1523, 568, 1572, 11615, 540, 4336, 15323, 299, 1075, 344, 781, 4064, 11097, 2989, 269, 834, 32452, 256, 2334, 2306, 2631, 2437, 1352, 1767, 31113, 269, 1306, 789, 4797, 10918, 267, 12359, 773, 9289, 16965, 267, 834, 296, 6999, 649, 1223, 1451, 1256, 811, 4277, 5013, 1247, 3257, 938, 14770, 625, 15323, 9617, 1287, 267, 6004, 269, 9652, 267, 945, 5249, 693, 623, 878, 601, 578, 267, 15336, 909, 547, 873, 8876, 513, 4216, 2407, 540, 13212, 269, 1261, 20493, 27145, 543, 3838, 513, 4241, 4062, 540, 31851, 267, 834, 12441, 596, 917, 891, 13212, 14612, 3833, 2484, 547, 3914, 721, 286, 2561, 956, 1810, 1405, 1332, 1134, 1472, 1934, 1813, 547, 21617, 5210, 282, 2705, 267, 15911, 16374, 1450, 873, 547, 21707, 269, 18815, 5540, 14499, 1932, 1107, 2015, 4492, 543, 6765, 2053, 3238, 547, 3142, 5370, 1279, 9883, 3010, 30342, 27086, 676, 1018, 789, 4862, 267, 21667, 543, 7665, 9684, 539, 6004, 269, 9652, 585, 4687, 1010, 1702, 269, 1717, 267, 789, 7691, 972, 7012, 1405, 2614, 942, 2451, 585, 2417, 3408, 267, 6028, 513, 2312, 3992, 827, 1272, 543, 2257, 281, 3006, 1565, 4523, 30122, 267, 1818, 7279, 543, 6998, 2055, 4105, 2645, 538, 26500, 3078, 3621, 2093, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 12585, 519, 1739, 2243, 281, 9137, 281, 1703, 568, 513, 2462, 2706, 21466, 476, 2282, 1250, 1753, 269, 4706, 2012, 568, 623, 878, 601, 578, 269, 898, 814, 6266, 540, 1919, 269, 1411, 666, 4444, 1153, 1919, 267, 899, 31940, 267, 23445, 267, 17710, 267, 22796, 267, 21971, 619, 543, 15513, 10833, 269, 1411, 666, 4444, 5388, 267, 4829, 543, 782, 5686, 540, 1426, 269, 1411, 666, 849, 4444, 9660, 269, 2368, 540, 519, 1919, 972, 616, 10464, 267, 543, 24455, 666, 6488, 519, 3902, 269, 1809, 930, 540, 873, 616, 9041, 1547, 634, 2706, 21466, 568, 1930, 1169, 1554, 689, 476, 278, 281, 876, 513, 6230, 30419, 476, 279, 281, 876, 533, 6230, 269, 634, 4600, 972, 616, 1360, 1434, 269, 1358, 960, 2182, 782, 1554, 269, 1358, 616, 6126, 547, 2626, 707, 2055, 269, 1358, 948, 596, 952, 596, 1616, 547, 4444, 4376, 269, 1703, 616, 1082, 1004, 593, 32300, 269, 1358, 4444, 6266, 540, 1919, 269, 6884, 789, 723, 14254, 267, 12899, 610, 12129, 972, 269, 7726, 281, 634, 2706, 21466, 2282, 1250, 1753, 568, 476, 9041, 476, 1547, 8786, 610, 1100, 267, 568, 519, 2626, 834, 15927, 257, 888, 12585, 912, 3721, 476, 272, 281, 10576, 519, 4143, 1344, 538, 519, 2376, 1644, 547, 519, 2243, 780, 3725, 10589, 1344, 281, 834, 2467, 568, 513, 2462, 2706, 21466, 2282, 1250, 1753, 3010, 3721, 476, 273, 281, 14419, 952, 519, 2016, 2626, 9497, 15927, 8442, 13292, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 20154, 4260, 7958, 910, 634, 5020, 540, 589, 2758, 3627, 2961, 2784, 710, 692, 8702, 267, 5664, 3427, 4841, 256, 4653, 649, 786, 7832, 593, 513, 4241, 5289, 3460, 998, 519, 1272, 540, 513, 19416, 17076, 3957, 3627, 2961, 2784, 710, 269, 1411, 1522, 4898, 875, 606, 17076, 781, 1272, 1223, 4125, 513, 5289, 3460, 269, 4270, 267, 1577, 781, 4685, 883, 1620, 1018, 602, 1797, 2439, 11990, 2961, 2784, 710, 5030, 606, 9058, 1272, 6131, 547, 9117, 267, 6849, 1082, 2591, 543, 29217, 2059, 519, 1259, 269, 3414, 3695, 1010, 2833, 543, 5079, 2429, 1010, 4876, 267, 596, 786, 3605, 875, 1010, 2123, 2208, 19141, 519, 2856, 540, 513, 5289, 3460, 12544, 1184, 540, 1582, 22523, 267, 1565, 267, 543, 7004, 269, 1284, 786, 1451, 827, 1010, 2038, 9620, 267, 18454, 267, 6612, 585, 9117, 267, 543, 2189, 7418, 547, 4670, 1686, 269, 1924, 10544, 707, 1402, 25468, 543, 1205, 4712, 585, 513, 13858, 11878, 2439, 1262, 6637, 476, 272, 281, 7216, 26647, 1375, 956, 630, 763, 22073, 21143, 9617, 899, 1169, 5869, 814, 513, 4098, 267, 865, 1705, 3627, 2961, 2784, 710, 269, 1261, 5185, 3875, 9465, 1354, 4466, 21239, 543, 19539, 269, 18004, 538, 1715, 3840, 4975, 1282, 519, 10162, 2130, 3828, 550, 625, 267, 3627, 1185, 9909, 540, 4742, 606, 7376, 269, 1717, 267, 1813, 547, 1920, 7965, 267, 646, 2451, 1753, 693, 2085, 19939, 543, 3576, 1585, 6009, 1247, 13197, 1010, 7499, 18653, 269, 3571, 1650, 11414, 721, 602, 3006, 938, 10092, 949, 3100, 15458, 267, 855, 952, 649, 3251, 3020, 547, 6000, 543, 1832, 2324, 2182, 267, 1434, 1919, 786, 5555, 4755, 780, 1262, 6637, 476, 273, 281, 11773, 2311, 7831, 630, 294, 9512, 1299, 4804, 21143, 5475, 10010, 585, 1896, 1296, 267, 3627, 6368, 1336, 1010, 10912, 607, 606, 17076, 538, 4993, 269, 4438, 713, 1974, 267, 646, 4121, 1007, 1983, 267, 1558, 9565, 1004, 267, 543, 4378, 539, 1010, 4739, 896, 741, 5583, 269, 1306, 942, 5293, 267, 3627, 2968, 811, 8746, 543, 9952, 538, 4395, 540, 12514, 543, 9458, 7567, 269, 901, 5123, 9727, 602, 16177, 17188, 1055, 543, 602, 6024, 1565, 2337, 2043, 1332, 13948, 543, 24015, 780, 1262, 6637, 476, 274, 281, 32425, 622, 6168, 2920, 532, 630, 20524, 532, 20828, 21143, 9961, 1010, 1279, 543, 3811, 4876, 267, 3627, 7283, 13730, 827, 9117, 269, 4634, 1498, 646, 4769, 1405, 7118, 1454, 3379, 547, 824, 4583, 7260, 6801, 267, 646, 1726, 25979, 519, 3255, 2016, 547, 960, 7258, 13085, 19971, 543, 5830, 269, 1635, 8508, 1010, 2648, 585, 9117, 267, 3627, 6273, 1866, 1472, 1864, 543, 2813, 12300, 12644, 1869, 19644, 2221, 269, 19452, 267, 1739, 707, 2295, 543, 14637, 707, 15421, 2636, 596, 547, 1921, 7184, 609, 3054, 543, 9797, 1764, 1346, 2673, 547, 596, 780, 1262, 6637, 476, 275, 281, 9710, 2928, 22684, 630, 9558, 4146, 21143, 307, 578, 1841, 519, 1439, 540, 1010, 4876, 267, 3627, 2968, 24190, 609, 5929, 16897, 9413, 269, 1452, 5107, 941, 1114, 982, 1022, 646, 5129, 4505, 267, 13031, 1776, 4494, 540, 1010, 17545, 607, 606, 17076, 269, 6736, 1373, 1826, 4751, 538, 1978, 11964, 267, 3627, 7608, 971, 13710, 3197, 2898, 27329, 569, 543, 4797, 547, 7038, 5481, 540, 11655, 269, 6270, 4720, 14550, 602, 1689, 568, 17149, 267, 5356, 4195, 7399, 547, 9784, 1007, 9035, 543, 7753, 7687, 780, 3383, 267, 1946, 1281, 3627, 2961, 2784, 710, 781, 1272, 2099, 513, 5289, 3460, 286, 10801, 1010, 7415, 4876, 267, 3627, 4810, 3586, 2208, 267, 20408, 14488, 267, 9363, 8149, 547, 1010, 1148, 1106, 267, 543, 15268, 547, 2242, 269, 3807, 899, 3909, 610, 10952, 4978, 948, 3337, 2576, 781, 6418, 1158, 267, 3627, 781, 11428, 547, 1010, 4739, 9927, 1864, 1312, 13948, 543, 24015, 269, 898, 4847, 1864, 547, 6330, 519, 10848, 540, 1397, 1870, 1247, 4509, 8699, 543, 2463, 585, 8284, 5159, 269, 4935, 267, 4974, 3627, 2961, 2784, 710, 781, 12092, 2488, 3407, 4030, 827, 6043, 267, 8990, 267, 5876, 267, 543, 13916, 1765, 638, 8017, 1898, 585, 10188, 1272, 3294, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 296, 993, 513, 8423, 256, 1656, 519, 8423, 538, 606, 17076, 568, 1018, 2306, 1864, 4277, 269, 634, 2262, 568, 606, 29405, 1152, 950, 621, 779, 1031, 676, 606, 16080, 3187, 1107, 1851, 11051, 267, 621, 779, 513, 1360, 1164, 5360, 2939, 267, 8197, 31422, 454, 1103, 519, 1686, 540, 21576, 267, 972, 616, 6801, 602, 6633, 3043, 3905, 269, 3973, 972, 616, 1346, 945, 2842, 909, 2921, 513, 1033, 712, 1107, 2943, 789, 4076, 12236, 519, 5854, 3599, 543, 513, 18515, 547, 2263, 1256, 519, 5318, 6989, 540, 519, 5836, 779, 5377, 1107, 713, 568, 30118, 1738, 540, 513, 11537, 1381, 645, 17076, 269, 8409, 945, 8743, 548, 721, 609, 513, 1990, 7002, 585, 669, 1571, 543, 669, 698, 337, 1231, 267, 1368, 742, 9155, 543, 15046, 345, 23697, 267, 1367, 1143, 543, 538, 574, 527, 1464, 267, 9159, 543, 524, 1905, 7637, 2336, 1103, 1010, 2663, 1296, 267, 3627, 2961, 2784, 710, 1131, 2097, 547, 581, 1634, 607, 835, 540, 891, 2507, 519, 6760, 568, 2507, 646, 729, 513, 2481, 333, 2283, 1049, 17076, 2336, 14881, 2760, 1500, 2462, 2724, 538, 21035, 269, 594, 729, 6976, 538, 7366, 267, 519, 6801, 3893, 5215, 269, 1809, 594, 5249, 609, 930, 540, 519, 6574, 19971, 538, 8874, 543, 930, 540, 519, 6574, 5830, 269, 1358, 5795, 803, 519, 5191, 547, 798, 1018, 594, 666, 798, 1655, 543, 602, 729, 11815, 4328, 3034, 1103, 14621, 547, 1010, 16897, 9371, 267, 713, 568, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2869, 3770, 4260, 7958, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6490, 7546, 338, 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, 0, 17610, 3364, 256, 3371, 781, 513, 8908, 585, 519, 1016, 15492, 834, 278, 269, 273, 269, 25037, 22375, 257, 689, 938, 1837, 593, 834, 30125, 543, 7177, 540, 2473, 7304, 599, 6156, 539, 8751, 2762, 2437, 2854, 4481, 585, 1762, 3988, 1384, 14945, 1262, 278, 269, 273, 269, 25037, 22375, 281, 22628, 9540, 20212, 4373, 5331, 596, 2811, 4730, 12404, 543, 3343, 609, 707, 2828, 538, 513, 2462, 6288, 269, 634, 1268, 945, 781, 621, 814, 741, 4064, 6806, 267, 10203, 547, 4557, 267, 1247, 3025, 3116, 1085, 520, 1562, 547, 1265, 513, 15720, 5544, 269, 1879, 519, 4831, 4991, 547, 4557, 267, 789, 1930, 741, 4064, 543, 1376, 3168, 585, 741, 2828, 269, 2311, 1101, 267, 782, 789, 1294, 568, 6371, 267, 4054, 267, 543, 19209, 3937, 269, 1809, 607, 789, 1413, 6251, 267, 789, 2253, 547, 5469, 1507, 3604, 1107, 513, 21489, 23578, 856, 689, 3297, 513, 17382, 267, 513, 1688, 530, 3058, 689, 3330, 513, 15993, 13472, 267, 513, 3723, 533, 3183, 856, 689, 896, 513, 14541, 269, 1452, 1507, 3604, 948, 873, 12398, 741, 6456, 2828, 780, 1103, 1082, 2081, 267, 4466, 891, 1507, 3604, 568, 2147, 547, 1018, 7189, 798, 950, 789, 1413, 693, 2564, 2592, 3144, 1210, 17223, 29821, 630, 6311, 1040, 589, 11632, 11571, 3096, 2473, 17530, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 3209, 2854, 676, 12275, 857, 30954, 22222, 632, 3933, 2145, 17383, 630, 13970, 271, 268, 5611, 276, 1070, 3370, 538, 5147, 267, 476, 14681, 271, 269, 1133, 2041, 4385, 560, 547, 1034, 1004, 267, 519, 1533, 540, 4993, 729, 3957, 1310, 2836, 2378, 807, 267, 513, 14070, 4563, 15596, 945, 12199, 936, 513, 7242, 545, 782, 1922, 24580, 630, 704, 4257, 24139, 264, 6532, 540, 4563, 2021, 1175, 1055, 519, 5032, 540, 5607, 269, 2701, 1031, 606, 7952, 540, 10760, 1989, 858, 1231, 547, 4339, 10271, 693, 31862, 543, 814, 1831, 606, 4277, 2943, 2370, 1634, 5339, 4137, 269, 769, 476, 14631, 271, 267, 950, 5053, 9518, 626, 11456, 670, 9007, 23634, 525, 8452, 593, 1018, 568, 1631, 1634, 607, 645, 24652, 4993, 593, 6792, 779, 7178, 5032, 267, 646, 3957, 519, 2244, 4993, 267, 1310, 2836, 2378, 807, 779, 6532, 538, 632, 3933, 2145, 17383, 779, 1433, 563, 12626, 22267, 15656, 623, 788, 903, 11339, 538, 1010, 19701, 540, 1010, 771, 921, 5501, 693, 875, 1455, 7091, 3912, 1185, 1831, 538, 519, 2197, 779, 4108, 563, 19878, 773, 546, 685, 288, 889, 793, 344, 630, 15757, 271, 270, 15757, 274, 268, 10204, 278, 1070, 1732, 1634, 607, 8496, 655, 12251, 16279, 31410, 11017, 610, 5487, 31410, 11017, 267, 729, 513, 2262, 1606, 1782, 518, 267, 22968, 22256, 267, 543, 3677, 31032, 3734, 25251, 476, 1704, 628, 10601, 28910, 22968, 22256, 269, 700, 8636, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14532, 540, 29892, 21998, 257, 607, 851, 540, 834, 16300, 13493, 1315, 10632, 1299, 11242, 1315, 9315, 10632, 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, 0, 3848, 476, 277, 281, 4197, 1306, 6255, 18553, 18639, 281, 20710, 3101, 9147, 11096, 2684, 625, 543, 7073, 24524, 692, 1103, 4207, 2486, 267, 10649, 814, 1831, 5051, 2442, 607, 513, 1106, 540, 3635, 543, 2566, 8323, 269, 1717, 267, 922, 8129, 2196, 1454, 4514, 982, 519, 5767, 8516, 7678, 282, 10649, 568, 12082, 538, 3504, 10952, 5389, 602, 6322, 547, 796, 1518, 1560, 267, 2247, 267, 543, 6891, 269, 7324, 1585, 6163, 540, 10649, 267, 1306, 6255, 18553, 18639, 6763, 856, 607, 513, 9308, 14053, 2259, 602, 10905, 11826, 3350, 9696, 609, 7362, 1852, 267, 2870, 513, 2189, 1995, 585, 1346, 945, 3343, 1312, 6418, 4708, 543, 2168, 4161, 269, 901, 3184, 12538, 883, 519, 1686, 267, 3741, 267, 2553, 267, 543, 2640, 540, 1306, 6255, 18553, 18639, 1247, 8220, 621, 547, 2413, 1072, 543, 9716, 5717, 780, 272, 269, 8466, 25043, 540, 18639, 692, 763, 1523, 540, 10649, 666, 581, 14360, 1394, 547, 5215, 540, 1296, 3516, 950, 5289, 3401, 8179, 21481, 998, 9066, 543, 1582, 16162, 23002, 269, 1452, 2038, 9439, 2919, 1950, 1949, 2966, 547, 11745, 1125, 741, 4703, 267, 8186, 267, 543, 14326, 269, 3683, 5553, 267, 891, 10752, 7960, 883, 3875, 3506, 543, 1899, 1137, 267, 1519, 670, 24048, 18639, 267, 799, 5059, 5097, 593, 2022, 999, 543, 7244, 5751, 269, 4653, 781, 5375, 1242, 4528, 540, 10649, 14405, 8185, 2390, 670, 24048, 18639, 267, 10771, 8112, 267, 4222, 267, 3666, 267, 543, 11005, 780, 273, 269, 3245, 15815, 919, 547, 4793, 534, 329, 8932, 281, 1133, 16225, 532, 519, 17959, 540, 1306, 6255, 18553, 18639, 692, 2026, 6255, 18553, 18639, 7640, 525, 922, 2012, 547, 27041, 4793, 534, 329, 8932, 267, 945, 30363, 519, 18639, 27659, 6652, 1472, 476, 6110, 9460, 1765, 821, 540, 519, 1034, 9565, 5931, 538, 8106, 4095, 6138, 269, 10738, 713, 1521, 1047, 267, 4793, 534, 329, 8932, 13890, 5216, 17873, 630, 1662, 3279, 815, 5216, 267, 2587, 320, 815, 18215, 264, 540, 10649, 267, 7674, 607, 4808, 585, 5683, 2932, 267, 2790, 1445, 267, 543, 1582, 3146, 531, 1436, 269, 4014, 519, 2165, 834, 2026, 6255, 18553, 257, 4016, 4481, 547, 891, 17873, 2864, 982, 513, 1880, 1305, 540, 13514, 267, 2413, 12496, 1419, 1476, 17218, 519, 1079, 1813, 547, 918, 269, 623, 3430, 629, 6062, 11835, 529, 262, 3310, 780, 303, 3430, 629, 6062, 11835, 529, 6594, 896, 25421, 5864, 778, 776, 320, 267, 1776, 7986, 4137, 538, 2413, 10649, 267, 1282, 519, 4571, 2389, 342, 12351, 2540, 269, 27837, 676, 1010, 575, 15843, 781, 10752, 267, 11835, 529, 3459, 3450, 1018, 646, 1572, 834, 2026, 6255, 18553, 966, 4176, 14505, 18639, 257, 1765, 534, 17615, 5311, 540, 15222, 1242, 5322, 543, 24967, 1759, 593, 2757, 670, 24048, 18639, 2409, 269, 4595, 1287, 267, 1306, 6255, 18553, 18639, 814, 6591, 7839, 8560, 1851, 8516, 12439, 5275, 513, 4101, 2943, 11455, 1935, 547, 3635, 780, 274, 269, 9828, 543, 13756, 540, 1306, 6255, 18553, 18639, 692, 23338, 547, 1306, 6255, 18553, 18639, 568, 642, 4176, 14505, 267, 513, 6422, 3095, 1063, 7362, 543, 5163, 602, 5932, 5714, 13289, 1063, 13514, 269, 3962, 3126, 1369, 1306, 6255, 18553, 18639, 5161, 540, 1808, 9696, 5340, 538, 519, 1482, 1931, 1169, 942, 267, 3850, 9439, 547, 13404, 593, 17975, 12972, 267, 29947, 21018, 267, 543, 9013, 19344, 269, 1635, 15222, 1944, 7362, 609, 3350, 267, 2043, 11349, 4656, 267, 9350, 1145, 267, 543, 5834, 780, 2467, 616, 3670, 3119, 3126, 538, 1306, 6255, 18553, 18639, 267, 7930, 2810, 538, 6988, 543, 8515, 269, 30488, 3335, 1376, 609, 519, 1101, 3126, 267, 2519, 593, 13654, 13514, 971, 607, 18746, 2915, 267, 24116, 594, 267, 543, 3529, 10460, 269, 2859, 4359, 9439, 949, 1847, 5196, 13591, 543, 4359, 9696, 6220, 6186, 21356, 267, 1394, 321, 1742, 267, 543, 12048, 1930, 619, 269, 6736, 8795, 2157, 540, 7411, 267, 782, 1306, 6255, 18553, 18639, 7886, 1246, 519, 1482, 2497, 281, 6679, 669, 1218, 267, 3141, 2892, 20706, 267, 7555, 543, 27206, 2022, 999, 267, 14656, 16051, 6652, 267, 543, 3803, 1964, 630, 306, 822, 553, 3570, 6393, 275, 269, 11588, 540, 1306, 6255, 18553, 18639, 281, 21344, 10610, 267, 9650, 267, 543, 13336, 692, 4407, 1082, 4497, 538, 1306, 6255, 18553, 18639, 17033, 585, 922, 2168, 12587, 24568, 920, 1078, 26176, 2088, 267, 4295, 4222, 267, 543, 8112, 9789, 2259, 3091, 2484, 23568, 5626, 543, 5289, 5383, 1932, 269, 8617, 9439, 1867, 4824, 7099, 7939, 267, 4389, 4160, 267, 8476, 5042, 1599, 267, 1732, 3207, 2298, 267, 543, 15398, 2949, 2631, 540, 8171, 269, 5015, 267, 2502, 538, 1895, 5049, 11942, 23274, 267, 12477, 267, 543, 8404, 267, 17923, 1514, 4296, 1898, 585, 1279, 3856, 15984, 547, 2635, 6208, 780, 276, 269, 23889, 1306, 6255, 18553, 18639, 20553, 12634, 2657, 543, 25682, 5494, 6847, 692, 11693, 922, 15491, 2470, 267, 1306, 6255, 18553, 18639, 2488, 3407, 4030, 883, 6626, 7391, 4478, 1857, 1072, 267, 15324, 4915, 267, 543, 2123, 1646, 269, 1280, 3236, 267, 1382, 7028, 1210, 10649, 7459, 607, 7755, 9417, 11257, 7258, 6671, 5574, 585, 1585, 2564, 2175, 899, 5312, 1928, 267, 4965, 267, 543, 6219, 6057, 4713, 269, 5047, 267, 32687, 3782, 3631, 14957, 2898, 16512, 4485, 5447, 16900, 609, 1306, 6255, 18553, 18639, 781, 8561, 593, 11455, 2713, 543, 1582, 13282, 780, 6962, 281, 16871, 28673, 543, 16743, 3414, 1306, 6255, 18553, 18639, 692, 3528, 3695, 519, 3140, 2796, 267, 2930, 3344, 267, 543, 4052, 3156, 540, 1306, 6255, 18553, 18639, 267, 713, 3184, 20217, 3988, 547, 5660, 922, 3638, 6561, 1247, 9301, 922, 10083, 547, 2221, 781, 2479, 21608, 1072, 543, 9716, 5251, 269, 6787, 13197, 6099, 2168, 2773, 267, 3929, 6043, 267, 610, 5289, 2208, 267, 8508, 519, 7326, 543, 9015, 540, 1306, 6255, 18553, 18639, 14767, 6209, 2833, 10489, 2056, 7904, 7566, 535, 6758, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 312, 7541, 543, 8516, 568, 9247, 1474, 699, 31437, 543, 7214, 267, 543, 4890, 2168, 2853, 610, 2093, 602, 12090, 689, 2085, 6040, 5607, 269, 634, 2262, 968, 335, 559, 919, 892, 2731, 5267, 968, 1729, 6443, 4229, 2223, 543, 729, 22666, 689, 519, 16130, 13172, 269, 1403, 596, 723, 1022, 2186, 540, 2055, 7282, 1141, 543, 875, 596, 666, 8415, 681, 312, 307, 476, 4968, 6732, 267, 596, 666, 3346, 721, 693, 938, 2985, 269, 18639, 13175, 693, 930, 942, 5473, 519, 2063, 569, 543, 15795, 5756, 269, 898, 729, 14475, 676, 15446, 529, 630, 611, 738, 2367, 1299, 2021, 602, 2322, 547, 946, 7796, 919, 609, 1142, 824, 264, 723, 1044, 1634, 607, 968, 338, 611, 1002, 338, 1848, 2659, 5048, 968, 4364, 2787, 892, 1318, 1631, 568, 513, 2603, 811, 849, 1634, 607, 513, 9053, 8471, 1974, 585, 1022, 3833, 513, 1906, 2035, 543, 13467, 540, 10649, 543, 8516, 563, 6624, 1004, 616, 4810, 609, 10649, 779, 1875, 16712, 2030, 779, 5072, 281, 602, 10649, 568, 9090, 606, 2025, 9699, 8905, 547, 3929, 627, 565, 8864, 543, 3909, 11144, 269, 634, 8360, 968, 344, 7541, 5751, 892, 568, 5833, 689, 519, 16130, 2596, 1107, 9066, 267, 865, 713, 1797, 9322, 269, 769, 9759, 267, 7796, 919, 7426, 1118, 606, 4674, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 18639, 1315, 1306, 6255, 18553, 18639, 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, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 1373, 689, 1776, 4541, 945, 649, 3513, 1289, 7705, 269, 7705, 1185, 1175, 8452, 593, 3047, 543, 6785, 4986, 827, 3425, 610, 741, 2081, 269, 2290, 1554, 267, 1247, 3695, 267, 7705, 3357, 2066, 513, 2679, 609, 5961, 543, 1913, 782, 936, 621, 1572, 834, 17206, 540, 12548, 645, 30629, 1701, 30985, 267, 7705, 4956, 547, 979, 3330, 780, 5629, 3330, 267, 7705, 4718, 1082, 3425, 9361, 1927, 538, 513, 4055, 6947, 547, 2576, 3717, 269, 901, 1268, 729, 29382, 594, 6767, 267, 513, 2199, 1480, 945, 6743, 1114, 982, 1034, 824, 3425, 7705, 1185, 2938, 865, 2484, 269, 29382, 594, 6767, 729, 6158, 827, 1945, 1271, 910, 2790, 1072, 780, 8334, 1705, 711, 917, 1018, 713, 5921, 267, 855, 1352, 19557, 5402, 607, 29382, 594, 6767, 6045, 269, 898, 5828, 856, 602, 2790, 1072, 5219, 547, 519, 8171, 540, 835, 781, 2247, 543, 4664, 269, 3807, 899, 3425, 1185, 4703, 602, 2877, 1416, 543, 3007, 267, 789, 849, 1185, 8186, 602, 2838, 3168, 1310, 269, 6884, 267, 1004, 1522, 1745, 8909, 267, 14221, 267, 610, 16397, 267, 543, 1346, 4606, 941, 851, 540, 2348, 1434, 2790, 1072, 1932, 269, 1809, 3006, 267, 891, 4606, 666, 1831, 11566, 543, 1860, 835, 781, 2702, 547, 1599, 538, 3232, 1272, 269, 2334, 781, 950, 5275, 3318, 948, 3587, 2556, 780, 291, 297, 594, 6767, 1287, 3838, 1200, 1378, 2833, 607, 513, 3791, 22831, 5545, 1977, 4807, 269, 19663, 909, 267, 1200, 3993, 5143, 1200, 547, 11100, 538, 543, 12404, 2694, 540, 9887, 1317, 2486, 1419, 5701, 1004, 8335, 1759, 593, 875, 789, 1413, 610, 1141, 789, 2097, 689, 269, 1717, 267, 3079, 540, 15720, 267, 29382, 594, 6767, 17947, 1200, 6561, 543, 1031, 621, 547, 1118, 2318, 2242, 538, 1200, 2146, 269, 2701, 2813, 3292, 543, 3906, 6322, 693, 5885, 8284, 1306, 2103, 543, 7414, 6816, 619, 10010, 609, 2790, 1072, 2152, 780, 2026, 7705, 19557, 267, 1352, 7691, 602, 1256, 1498, 3425, 949, 2408, 1114, 593, 519, 3544, 267, 789, 5185, 2147, 2591, 24323, 269, 1358, 4810, 1950, 4664, 543, 12212, 17388, 609, 4509, 3666, 1369, 2933, 269, 1635, 4687, 2984, 543, 2870, 11215, 2950, 267, 3425, 1223, 960, 2509, 1732, 1620, 1142, 824, 543, 5355, 2949, 9716, 780, 9961, 519, 6643, 267, 7705, 4280, 1896, 2055, 971, 607, 1384, 265 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2483, 276, 25008, 476, 278, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 2237, 513, 1230, 6984, 15048, 676, 25166, 1800, 6301, 18745, 8893, 14136, 454, 763, 3803, 1900, 538, 26004, 606, 1557, 568, 1419, 519, 25759, 5037, 267, 543, 513, 1134, 2275, 2761, 539, 25759, 5037, 666, 1118, 606, 12819, 1557, 1454, 811, 20310, 269, 2991, 17265, 930, 1455, 3932, 9073, 267, 519, 3381, 9727, 2483, 276, 25008, 476, 278, 628, 910, 476, 280, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 3519, 3272, 14313, 538, 5675, 8893, 14136, 454, 8196, 519, 5867, 540, 519, 476, 1220, 275, 16232, 10457, 547, 3142, 10388, 1603, 547, 707, 1362, 269, 8479, 17037, 2697, 519, 1614, 2152, 1034, 1271, 547, 873, 538, 519, 9550, 543, 1382, 519, 2152, 543, 10457, 262, 7158, 269, 1358, 2328, 2483, 276, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 454, 763, 3974, 15048, 20113, 8893, 14136, 454, 11947, 2775, 519, 2956, 540, 31047, 543, 5098, 6898, 676, 2348, 5830, 12575, 543, 556, 2914, 1679, 8370, 1114, 9433, 602, 4196, 607, 4057, 31047, 269, 769, 1840, 547, 31925, 519, 8239, 543, 10259, 9073, 267, 707, 10709, 518, 786, 2483, 277, 628, 910, 476, 278, 628, 2296, 5678, 8551, 0, 2304, 17772, 2354, 532, 9352, 568, 513, 9352, 5182, 1062, 1141, 835, 5182, 10596, 538, 4395, 540, 519, 824, 267, 9571, 676, 7487, 519, 1689, 538, 1769, 950, 602, 4523, 267, 1454, 607, 513, 1098, 1746, 4541, 568, 9571, 269, 769, 1198, 267, 621, 568, 513, 1826, 540, 4756, 5182, 267, 661, 4122, 1031, 607, 519, 4756, 1826, 563, 2005, 568, 835, 540, 513, 1297, 9352, 3613, 541, 5049, 1759, 2390, 875, 519, 5182, 568, 5462, 547, 581, 9352, 269, 11524, 912, 288, 5595, 11060, 1033, 3737, 17772, 2354, 532, 9352, 630, 291, 14701, 289, 264, 568, 606, 17772, 2354, 532, 9352, 267, 513, 5595, 11060, 4715, 14029, 8084, 9352, 543, 513, 1033, 3737, 9352, 630, 2254, 15700, 1040, 0, 30535, 945, 723, 1044, 8995, 609, 2860, 798, 711, 1152, 5855, 827, 519, 2564, 3790, 540, 2126, 855, 972, 568, 849, 513, 1164, 4320, 540, 2550, 945, 991, 7525, 2126, 269, 23108, 1774, 5576, 340, 584, 11233, 538, 15729, 16011, 5063, 5189, 922, 5767, 2234, 23956, 3684, 547, 2550, 799, 1521, 909, 547, 476, 2412, 2550, 513, 1554, 269, 7905, 14639, 8291, 5244, 525, 267, 2212, 540, 5982, 593, 19223, 693, 519, 6413, 1767, 519, 8257, 4867, 12034, 811, 982, 476, 4968, 271, 1007, 593, 19223, 2550, 513, 1032, 269, 968, 9336, 1032, 713, 1297, 4679, 676, 476, 276, 260, 543, 476, 1015, 9077, 909, 476, 2568, 260, 540, 891, 2550, 786, 2154, 2234, 23956, 607, 851, 540, 741, 2126, 563, 763, 3684, 5654, 899, 513, 11632, 2480, 534, 1676, 543, 3388, 568, 8659, 3330, 519, 3684, 9621, 11005, 543, 3106, 269, 589, 2407, 2126, 666, 581, 2944, 1369, 3670, 3764, 543, 568, 2185, 2053, 5488, 982, 3044, 5574, 269, 2701, 8711, 602, 519, 3684, 3239, 3391, 1062, 799, 2636, 519, 5234, 547, 1491, 606, 3239, 540, 519, 1858, 789, 1616, 547, 1521, 267, 1247, 519, 3461, 568, 14084, 593, 519, 5127, 269, 1358, 1287, 25146, 519, 3239, 609, 519, 4058, 11632, 2592, 2073, 339, 2586, 1354, 519, 942, 269, 901, 2636, 4977, 19027, 540, 2550, 2990, 1282, 1169, 2126, 1554, 269, 898, 568, 1271, 585, 2550, 945, 616, 5701, 538, 2127, 1141, 2571, 8031, 543, 8219, 1847, 609, 3232, 12214, 2242, 267, 4180, 8766, 5982, 547, 891, 2127, 563, 294, 549, 1774, 5576, 340, 584, 11233, 568, 4583, 585, 1373, 519, 9872, 1141, 519, 1101, 1480, 547, 1480, 2295, 13003, 3576, 1747, 799, 729, 5342, 676, 2160, 540, 15729, 16011, 268, 14445, 730, 18874, 2441, 807, 534, 4446, 333, 731, 593, 519, 3461, 8402, 25169, 330, 753, 5652, 269, 16065, 2818, 941, 1360, 30190, 543, 4682, 519, 3063, 13304, 547, 1118, 2386, 602, 519, 1957, 1740, 540, 519, 3684, 729, 6192, 593, 942, 563, 293, 3757, 1723, 529, 19850, 985, 9907, 476, 7367, 3838, 1010, 1101, 2126, 1995, 540, 519, 3684, 269, 968, 2005, 779, 2141, 513, 15779, 1995, 855, 1250, 1995, 609, 713, 3684, 568, 1360, 1114, 1317, 621, 1568, 5488, 543, 519, 5234, 568, 1360, 3318, 543, 13959, 622, 6100, 0, 12988, 538, 4884, 1310, 606, 3078, 16314, 593, 519, 17822, 540, 16444, 20092, 267, 10496, 638, 5202, 814, 3238, 9887, 609, 519, 2014, 540, 7286, 5726, 563, 307, 22736, 827, 519, 1482, 10496, 638, 5202, 3081, 267, 834, 32481, 519, 1158, 267, 7286, 8134, 616, 1373, 12219, 267, 28811, 267, 8697, 610, 10032, 676, 1480, 2238, 267, 835, 540, 799, 568, 5533, 269, 14171, 513, 588, 2651, 2059, 1022, 11824, 610, 513, 11878, 593, 513, 7542, 787, 267, 835, 786, 1205, 606, 2856, 540, 1175, 875, 1454, 16445, 568, 13735, 1472, 538, 519, 1106, 540, 519, 5070, 1792, 1233, 609, 5068, 14569, 267, 3165, 10833, 267, 1769, 15620, 267, 16212, 22286, 3591, 267, 29578, 540, 10068, 2121, 610, 16025, 269, 634, 6429, 568, 519, 1482, 519, 1158, 936, 267, 585, 519, 15798, 616, 2407, 540, 20203, 269, 594, 4312, 14754, 713, 1082, 2053, 593, 519, 7542, 787, 547, 1325, 756, 13774, 610, 547, 8496, 327, 6816, 543, 621, 781, 606, 5393, 771, 24711, 2287, 8289, 269, 594, 2731, 1745, 649, 991, 547, 13599, 1004, 543, 3262, 4656, 593, 13149, 5726, 4799, 9515, 2417, 8591, 267, 834, 2171, 666, 1376, 609, 519, 10545, 540, 3268, 547, 3565, 2509, 13149, 11094, 267, 899, 28142, 610, 4227, 938, 946, 540, 5068, 2472, 607, 5068, 1439, 909, 607, 5836, 11935, 7700, 547, 7226, 9552, 543, 1303, 836, 1782, 543, 11318, 9937, 540, 5215, 540, 7286, 2831, 1142, 1032, 269, 1284, 666, 849, 948, 676, 711, 16445, 532, 17822, 543, 25825, 267, 8741, 532, 540, 3653, 538, 606, 13476, 2922, 1259, 543, 556, 6748, 543, 9657, 8164, 2009, 1701, 0, 7049, 13443, 9168, 18151, 16793, 30437, 609, 24638, 12508, 269, 630, 7804, 269, 24204, 30937, 328, 667, 784, 267, 8592, 22846, 25204, 6199, 3427, 540, 5398, 2657, 3842, 6673, 994, 7312, 5955, 568, 1271, 547, 721, 2336, 2171, 16436, 782, 938, 3988, 547, 2671, 609, 721, 741, 5784, 543, 8292, 827, 713, 2376, 563, 11514, 25068, 281, 22227, 11643, 676, 3791, 6105, 593, 713, 3135, 616, 519, 6852, 5539, 540, 519, 1367, 4433, 264, 4171, 1543, 568, 11643, 269, 634, 11545, 10060, 24693, 1100, 5539, 585, 519, 1543, 540, 6085, 4433, 1070, 1519, 267, 1510, 20159, 267, 1022, 5470, 267, 522, 3939, 610, 538, 3147, 5596, 972, 514, 269, 7490, 4063, 602, 707, 4757, 2232, 786, 10691, 2408, 593, 519, 3135, 563, 29197, 281, 1403, 596, 616, 6849, 2042, 609, 20171, 8292, 267, 5225, 4063, 602, 596, 1590, 13182, 707, 4757, 609, 2598, 638, 338, 1991, 547, 20171, 513, 6085, 269, 1246, 713, 3095, 547, 1118, 2386, 707, 2272, 10742, 519, 4170, 269, 630, 10674, 2517, 4226, 269, 569, 23218, 11514, 638, 338, 994, 13640, 16331, 599, 568, 13166, 1863, 540, 13663, 267, 519, 2622, 2657, 9257, 630, 21766, 264, 1767, 11728, 267, 1818, 621, 519, 1101, 2197, 538, 519, 17113, 538, 476, 3393, 1296, 547, 723, 530, 21317, 856, 519, 14686, 2068, 799, 568, 1394, 593, 519, 4473, 11451, 12991, 22022, 3368, 513, 2929, 1004, 4534, 1034, 540, 873, 9002, 543, 1453, 538, 4000, 4534, 5747, 538, 476, 1001, 277, 689, 18151, 25645, 13663, 267, 1247, 693, 2547, 476, 21327, 2929, 941, 7783, 267, 606, 2333, 540, 2947, 2600, 936, 476, 1001, 276, 267, 14959, 1767, 269, 4415, 1100, 6592, 2665, 540, 13663, 538, 2947, 1296, 267, 3474, 16331, 599, 2968, 519, 1101, 2197, 538, 519, 3148, 547, 723, 17515, 13663, 2094, 18010, 538, 476, 3192, 274, 267, 519, 14959, 1767, 269, 769, 476, 1001, 277, 519, 14959, 4857, 3474, 16331, 599, 607, 835, 540, 476, 2641, 2477, 609, 519, 1761, 547, 9004, 13663, 676, 476, 1708, 271, 4586, 293, 5357, 299, 8582, 24199, 8121, 12087, 4041 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3339, 1591, 1739, 1591, 12760, 563, 4517, 519, 1739, 693, 912, 6357, 5735, 264, 589, 2241, 1591, 9967, 540, 513, 13540, 543, 1486, 22914, 1369, 513, 9245, 454, 4517, 602, 781, 827, 621, 910, 1100, 3476, 6609, 563, 2252, 2417, 7778, 1223, 581, 6035, 621, 1131, 581, 15874, 563, 20118, 594, 3357, 2066, 519, 2165, 9910, 16052, 543, 1586, 693, 912, 296, 1336, 713, 563, 288, 1507, 10199, 20085, 1591, 3812, 676, 519, 9402, 6498, 540, 513, 11425, 11057, 24059, 602, 3568, 1100, 9606, 10095, 5027, 543, 568, 8572, 547, 1332, 610, 7941, 269, 898, 568, 1031, 4603, 958, 547, 2769, 31332, 7408, 543, 5946, 23876, 676, 5027, 5189, 547, 519, 1591, 267, 552, 3052, 269, 538, 519, 1106, 540, 513, 28295, 6152, 563, 4517, 594, 1223, 711, 1265, 4376, 2417, 910, 899, 606, 6905, 2376, 563, 7661, 594, 4718, 519, 2165, 2898, 1591, 5219, 547, 538, 519, 1739, 2376, 912, 26139, 1100, 9939, 4466, 2417, 29208, 540, 519, 2165, 563, 12179, 7778, 267, 29208, 267, 2542, 6402, 1131, 581, 1360, 1454, 15874, 563, 12552, 538, 4434, 269, 0, 2162, 14044, 11916, 15232, 4750, 2878, 17445, 687, 5093, 2878, 1262, 3503, 513, 1079, 2985, 4760, 7127, 602, 2882, 707, 8343, 540, 1806, 543, 1875, 7721, 3263, 540, 2500, 2994, 1031, 585, 4928, 2359, 543, 8965, 7028, 1310, 8384, 891, 1079, 7044, 540, 13460, 2324, 609, 1053, 609, 10295, 269, 2659, 4760, 7127, 1058, 1331, 519, 1739, 281, 476, 272, 269, 14674, 519, 4928, 2359, 1544, 281, 1548, 616, 519, 4928, 3652, 585, 782, 1053, 286, 1548, 616, 519, 2318, 4539, 1031, 547, 1489, 3617, 2623, 286, 1548, 616, 519, 2942, 4539, 1031, 547, 12189, 543, 2061, 2875, 3765, 2041, 8326, 286, 1772, 519, 4928, 2359, 1544, 2500, 538, 2324, 609, 1053, 609, 10295, 8552, 4713, 286, 4208, 610, 1946, 711, 286, 476, 273, 269, 14674, 519, 2168, 1604, 540, 519, 4928, 281, 1548, 568, 519, 27939, 11460, 540, 519, 4928, 286, 1215, 1281, 519, 27939, 11460, 540, 519, 4928, 948, 2333, 610, 27298, 8965, 7965, 286, 6496, 519, 11768, 540, 519, 4928, 2408, 547, 5000, 13998, 11807, 4928, 2623, 286, 11512, 269, 2878, 1262, 476, 274, 269, 14674, 8965, 1489, 2994, 281, 1548, 8965, 1489, 2994, 616, 1031, 547, 1121, 18957, 8965, 7965, 286, 1215, 1419, 616, 8965, 1489, 2994, 8045, 286, 1684, 519, 8965, 1489, 2994, 948, 1053, 547, 1831, 7722, 538, 1565, 286, 4208, 610, 1946, 711, 286, 1215, 616, 519, 1053, 685, 8965, 2115, 1373, 8383, 730, 286, 2878, 1262, 476, 275, 269, 9181, 6286, 585, 4928, 2259, 281, 1215, 1281, 707, 6138, 540, 4928, 2359, 1764, 519, 8965, 2359, 543, 1489, 2994, 596, 20053, 547, 946, 538, 707, 4928, 286, 3629, 1808, 1806, 547, 1489, 707, 6286, 585, 4928, 2259, 269, 2878, 12533, 1103, 2013, 596, 723, 513, 2147, 2243, 543, 991, 621, 12943, 585, 596, 1175, 4945, 11352, 3767, 269, 2311, 6298, 655, 714, 7458, 2593, 649, 723, 782, 519, 1034, 11727, 4081, 5830, 543, 21493, 267, 585, 782, 707, 10467, 267, 3594, 267, 2665, 2090, 267, 4901, 9708, 267, 1788, 18747, 267, 1382, 4574, 267, 4901, 9708, 267, 8808, 10467, 267, 16075, 3594, 267, 5816, 4930, 267, 543, 824, 3029, 540, 4081, 960, 269, 0, 7712, 8837, 2306, 909, 519, 5354, 540, 7082, 24195, 543, 11380, 339, 3591, 267, 713, 3018, 649, 1445, 593, 519, 4835, 25029, 540, 519, 8837, 5665, 1062, 267, 519, 1036, 3588, 32105, 267, 519, 3354, 16426, 267, 543, 1451, 875, 547, 968, 14551, 523, 513, 4216, 892, 12693, 8206, 263, 10059, 2517, 26020, 269, 1598, 520, 5112, 12975, 270, 680, 1872, 8882, 850, 21703, 270, 3707, 29889, 277, 270, 7116, 318, 817, 793, 270, 842, 549, 270, 21163, 260, 1001, 260, 736, 260, 28434, 260, 3066, 26666, 264, 2878, 22860, 2763, 707, 14298, 9816, 3060, 585, 16426, 1262, 5788, 2750, 8533, 519, 3060, 596, 723, 3710, 543, 2119, 547, 3313, 1141, 596, 1589, 3354, 16426, 2291, 269, 5788, 3674, 972, 513, 3354, 8559, 602, 3112, 581, 1273, 3481, 1813, 547, 519, 4170, 4702, 1184, 286, 5788, 22860, 2763, 519, 991, 540, 1367, 1949, 585, 3354, 3800, 522, 13014, 2386, 596, 2638, 585, 1022, 29444, 519, 3301, 1131, 991, 585, 4797, 3339, 5106, 269, 5788, 23945, 593, 875, 519, 17516, 540, 891, 10833, 1058, 2049, 269, 8206, 263, 10059, 2517, 26020, 269, 1598, 520, 5112, 12975, 270, 680, 1872, 8882, 850, 21703, 270, 3707, 29889, 277, 270, 7116, 318, 817, 793, 270, 842, 549, 270, 21163, 273, 260, 736, 260, 27005, 260, 3066, 26666, 264, 2878, 1692, 798, 596, 917, 952, 707, 3070, 729, 513, 1967, 286, 1215, 798, 596, 917, 875, 5150, 568, 5150, 2614, 286, 1262, 5788, 19400, 519, 21912, 1103, 4804, 3381, 13760, 543, 25956, 8837, 476, 1015, 8232, 689, 8837, 476, 1015, 585, 8668, 18370, 12708, 9751, 609, 20574, 623, 846, 344, 5788, 19400, 519, 21912, 1103, 4804, 3381, 3296, 281, 13760, 18983, 2153, 689, 519, 1576, 281, 8668, 8232, 25043, 281, 21952, 3590, 8232, 609, 23436, 645, 1442, 5788, 2710, 1382, 593, 519, 4950, 543, 1451, 811, 827, 519, 968, 327, 1161, 892, 543, 519, 8837, 17830, 6189, 269, 8206, 263, 10059, 2517, 26020, 269, 1598, 520, 5112, 12975, 270, 680, 1872, 8882, 850, 21703, 270, 3707, 29889, 277, 270, 7116, 318, 817, 793, 270, 842, 549, 20081, 2532, 260, 1001, 260, 27005, 260, 3066, 260, 736, 260, 27005, 260, 3066, 26666, 264, 2878, 2690, 707, 4305, 267, 10505, 596, 519, 2164, 689, 707, 18859, 618, 5811, 593, 707, 1788, 269, 1262, 5788, 8138, 2466, 519, 2164, 689, 1900, 476, 272, 593, 938, 4170, 2079, 585, 519, 1788, 563, 1103, 2013, 596, 723, 513, 2147, 2243, 543, 991, 621, 12943, 585, 596, 1175, 4945, 11352, 3767, 269, 2311, 6298, 655, 714, 7458, 2593, 649, 723, 782, 519, 1034, 11727, 4081, 5830, 543, 21493, 267, 585, 782, 707, 10467, 267, 3594, 267, 2665, 2090, 267, 4901, 9708, 267, 1788, 18747, 267, 1382, 4574, 267, 4901, 9708, 267, 8808, 10467, 267, 16075, 3594, 267, 5816, 4930, 267, 543, 824, 3029, 540, 4081, 960, 269, 0, 8269, 699, 31558, 476, 1708, 273, 267, 844, 28262, 281, 713, 568, 1018, 621, 1797, 543, 875, 1454, 2956, 621, 814, 538, 519, 1289, 547, 519, 1135, 3149, 540, 519, 32228, 2103, 593, 10732, 476, 1321, 4873, 476, 1708, 273, 269, 634, 5767, 1135, 3149, 3589, 602, 519, 2556, 1297, 540, 1346, 13886, 547, 8917, 786, 15991, 581, 6603, 563, 8269, 699, 31558, 476, 1708, 273, 267, 844, 28262, 281, 1018, 621, 568, 454, 2690, 519, 4676, 699, 31558, 593, 5126, 540, 476, 1321, 4873, 476, 1708, 273, 527, 786, 581, 2556, 547, 3035, 519, 865, 10777, 844, 28262, 269, 1548, 568, 621, 827, 286, 898, 568, 4080, 593, 519, 3896, 540, 519, 12080, 540, 519, 25181, 29721, 543, 1542, 1807, 269, 968, 763, 2165, 24283, 689, 519, 4678, 1231, 29347, 3745, 689, 519, 12908, 1495, 540, 519, 8231, 1201, 3266, 630, 10915, 619, 267, 1427, 25625, 267, 8887, 636, 267, 3277, 516, 264, 799, 1851, 922, 3875, 10096, 849, 2882, 1346, 540, 13288, 267, 8989, 267, 14775, 563, 763, 2165, 844, 28262, 267, 849, 540, 2312, 5824, 5169, 267, 24283, 689, 519, 8360, 968, 638, 28262, 3193, 9874, 16163, 892, 543, 1797, 519, 844, 28262, 267, 519, 5354, 267, 1869, 4909, 5238, 538, 519, 4703, 543, 538, 7104, 3664, 9232, 563, 20684, 476, 4037, 540, 519, 9139, 12857, 519, 1523, 540, 844, 28262, 281, 968, 2005, 568, 9307, 22275, 31558, 2442, 547, 20982, 519, 2698, 610, 9864, 705, 5766, 566, 540, 513, 1876, 610, 606, 957, 2348, 519, 3196, 540, 1876, 267, 950, 16761, 676, 2947, 4627, 8536, 17037, 610, 2947, 6237, 5646, 15078, 9232, 563, 1432, 4523, 952, 621, 568, 711, 6913, 888, 3383, 267, 1018, 4523, 952, 519, 12556, 995, 844, 28262, 568, 711, 6603, 593, 10732, 476, 1321, 4873, 286, 589, 22275, 31558, 568, 2808, 4570, 1152, 952, 621, 10301, 519, 844, 28262, 540, 519, 6207, 5354, 6518, 14687, 547, 476, 2004, 260, 1341, 476, 272, 540, 519, 17037, 269, 634, 705, 5766, 894, 22275, 526, 4548, 616, 18170, 676, 9137, 476, 4037, 540, 519, 9139, 281, 968, 763, 11556, 1641, 547, 22275, 31558, 568, 9516, 952, 519, 5354, 540, 1346, 13886, 547, 7119, 538, 519, 8917, 267, 543, 952, 519, 5354, 540, 4570, 569, 5641, 16018, 568, 6603, 31422, 563, 2252, 891, 2338, 616, 711, 6603, 267, 13359, 3112, 1860, 9086, 269, 4475, 267, 519, 5821, 547, 3914, 519, 844, 28262, 621, 849, 1281, 711, 1450, 513, 22275, 31558, 538, 799, 9811, 525, 7173, 841, 936, 1100, 547, 4283, 883, 3196, 269, 769, 2259, 267, 952, 519, 2556, 844, 28262, 568, 711, 6603, 593, 10732, 476, 1321, 4873, 476, 1708, 273, 267, 4986, 1131, 1689, 3379, 547, 2221, 269, 570, 650, 1631, 538, 7977, 519, 844, 28262, 814, 1044, 6603, 538, 476, 4375, 856, 540, 476, 6858, 22275, 31558, 2055, 269, 1809, 689, 476, 1960, 278, 547, 2221, 621, 814, 3592, 2760, 1044, 6603, 281, 1152, 538, 476, 1001, 272, 1705, 519, 5354, 540, 17037, 7119, 563, 5649, 849, 281, 4676, 699, 31558, 4873, 476, 1321, 267, 476, 1708, 273, 267, 9811, 610, 1100, 281, 519, 2990, 540, 519, 6105, 454, 258, 8269, 699, 31558, 1948, 638, 28262, 1948, 516, 3737, 1948, 301, 11246, 306, 0, 27609, 2218, 20113, 538, 24143, 7335, 454, 14862, 2110, 32461, 1210, 513, 7848, 540, 1726, 1076, 267, 620, 1729, 267, 4557, 528, 543, 18369, 1579, 12028, 663, 1585, 1455, 1098, 21752, 269, 634, 1433, 30211, 593, 1019, 520, 4577, 688, 678, 3000, 545, 1353, 630, 10175, 21022, 18749, 338, 264, 543, 23191, 4831, 4812, 538, 909, 547, 1614, 2694, 269, 634, 5751, 5721, 1053, 547, 1491, 538, 1082, 588, 2314, 520, 2899, 267, 547, 1294, 1141, 519, 9030, 23260, 568, 267, 547, 1174, 11745, 625, 543, 1110, 2827, 267, 547, 1224, 1585, 1579, 12028, 267, 543, 1098, 2821, 607, 2556, 563, 347, 10048, 3011, 25033, 1475, 23682, 5112, 2160, 4964, 2008, 347, 8310, 21213, 1475, 1708, 273, 268, 5881, 268, 6860, 476, 6187, 281, 4391, 281, 4029, 2008, 347, 21812, 1475, 23682, 5112, 2160, 4964, 2008, 347, 4467, 1842, 518, 1475, 1692, 731, 674, 31867, 517, 31340, 269, 744, 269, 24261, 347, 0, 2304, 928, 26573, 729, 4535, 538, 476, 14917, 276, 538, 5507, 269, 2701, 2968, 10348, 540, 4789, 267, 10430, 543, 8581, 538, 476, 10204, 273, 267, 543, 1287, 10348, 540, 4279, 6628, 543, 8581, 1739, 519, 6411, 540, 9769, 538, 476, 10204, 278, 269, 9282, 1869, 23503, 267, 621, 568, 1419, 2219, 602, 10348, 14732, 1185, 693, 2547, 835, 24139, 2078, 563, 16729, 1296, 540, 11552, 848, 936, 3751, 6276, 4083, 630, 2304, 928, 779, 4651, 264, 30871, 267, 519, 865, 1572, 32219, 4838, 5645, 856, 676, 14732, 779, 11078, 543, 7015, 538, 1876, 267, 6307, 543, 5261, 540, 21060, 267, 513, 1360, 1857, 24895, 609, 519, 1071, 15065, 1105, 338, 543, 513, 2295, 8840, 476, 1704, 28336, 26691, 267, 14732, 10841, 2105, 519, 17599, 538, 476, 10204, 273, 269, 4173, 10639, 814, 1044, 8297, 1441, 10169, 676, 519, 1913, 540, 835, 540, 1200, 5449, 2828, 267, 519, 667, 31866, 1087, 540, 3057, 331, 28386, 269, 1809, 2413, 12206, 1631, 2070, 1200, 12081, 811, 7957, 2227, 29087, 1107, 1200, 12081, 4718, 3621, 267, 7499, 267, 5339, 267, 2804, 543, 2797, 7760, 267, 607, 1134, 607, 1713, 20320, 10781, 563, 2005, 568, 2965, 713, 3659, 267, 8861, 26235, 267, 602, 14732, 568, 16143, 676, 930, 547, 723, 1185, 513, 24139, 2078, 609, 269, 1358, 941, 2828, 2094, 6689, 267, 5795, 1142, 824, 12183, 12849, 630, 300, 3464, 5651, 2917, 585, 14732, 543, 11427, 6154, 17507, 585, 8861, 264, 543, 1310, 789, 1185, 15468, 856, 621, 568, 1634, 602, 8861, 6836, 547, 3109, 21166, 519, 10348, 609, 5022, 13031, 741, 25055, 269, 681, 636, 2293, 941, 849, 3262, 267, 13148, 676, 8861, 267, 602, 519, 10348, 849, 1185, 513, 2663, 24139, 2078, 609, 1200, 19463, 2806, 580, 841, 631, 1662, 600, 269, 3509, 12206, 543, 4966, 593, 10348, 14732, 8044, 1996, 713, 2705, 267, 543, 2226, 602, 1352, 729, 9310, 543, 13991, 547, 13584, 6723, 540, 16862, 2394, 1010, 2669, 538, 476, 10204, 279, 563, 20075, 523, 14732, 5747, 538, 476, 14378, 275, 9907, 1152, 476, 5392, 267, 543, 1317, 1352, 1185, 1100, 2713, 1453, 14618, 4956, 602, 1352, 1131, 581, 16309, 676, 20153, 807, 267, 5082, 816, 540, 12390, 1478, 630, 320, 11397, 267, 855, 17557, 6935 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1452, 14751, 725, 11760, 2250, 9292, 1206, 1510, 23029, 593, 873, 267, 6038, 5807, 6418, 4708, 543, 4824, 3347, 780, 14300, 540, 19807, 543, 15603, 979, 14751, 725, 1331, 1384, 265, 594, 5305, 1022, 991, 585, 20947, 610, 1427, 531, 2747, 282, 594, 3442, 2648, 3079, 563, 265, 594, 993, 18507, 585, 519, 4245, 4121, 689, 1250, 2250, 2833, 563, 265, 594, 31799, 8885, 543, 1866, 267, 3850, 721, 782, 547, 12115, 543, 1847, 4464, 563, 265, 594, 1577, 979, 540, 1022, 6788, 602, 1100, 3476, 4196, 803, 563, 265, 3733, 2295, 568, 1930, 267, 22205, 1007, 4296, 543, 3255, 780, 4089, 476, 274, 281, 20074, 1280, 326, 4369, 543, 2913, 1154, 3619, 10500, 3305, 725, 454, 28885, 19807, 543, 15603, 979, 14751, 725, 883, 3232, 13467, 3340, 2259, 543, 11428, 269, 10670, 676, 7114, 1808, 3871, 610, 1004, 8506, 19807, 543, 14344, 2404, 4664, 269, 8921, 267, 2824, 3617, 14751, 725, 3358, 547, 1346, 6381, 269, 7053, 267, 10956, 519, 6074, 14751, 725, 5781, 1765, 728, 958, 2789, 2053, 829, 1554, 1765, 2181, 2536, 2406, 1282, 9602, 8090, 540, 8086, 610, 9066, 269, 3683, 942, 267, 891, 14751, 725, 1831, 3824, 11712, 538, 835, 781, 14820, 267, 14123, 9758, 10593, 538, 5133, 543, 7553, 780, 4089, 476, 275, 281, 4980, 22899, 7831, 532, 7827, 3414, 3117, 29548, 543, 8081, 454, 4407, 19807, 543, 15603, 979, 14751, 725, 2709, 10373, 1761, 2640, 267, 9434, 1689, 19329, 5812, 4674, 543, 5007, 1489, 269, 28259, 532, 13951, 609, 14637, 2828, 267, 1920, 2818, 267, 610, 4648, 7512, 12477, 267, 25040, 2635, 5615, 267, 543, 8309, 547, 1279, 3856, 1967, 269, 3958, 267, 7110, 532, 14751, 725, 609, 14911, 2853, 899, 30998, 267, 3797, 267, 610, 17035, 2417, 4396, 5809, 3356, 4724, 7067, 543, 9716, 780, 6962, 912, 10387, 10899, 1928, 568, 606, 17149, 2460, 540, 1480, 6228, 267, 2943, 2043, 4865, 8116, 3823, 875, 789, 4431, 547, 543, 9156, 689, 8801, 2833, 269, 1280, 326, 4369, 543, 15603, 979, 14751, 725, 1683, 14984, 1797, 540, 5466, 29886, 16398, 267, 14237, 6043, 267, 543, 19620, 3666, 1369, 835, 781, 1272, 269, 1306, 15091, 2429, 968, 8489, 6496, 898, 670, 4669, 2223, 8508, 1582, 268, 11391, 1077, 618, 5012, 547, 4389, 7092, 543, 2799, 7772, 269, 2060, 7029, 543, 8990, 267, 6267, 2502, 538, 713, 1770, 786, 10836, 1732, 9280, 547, 6330, 1272, 781, 2591, 543, 9784, 922, 5898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 8489, 6496, 898, 670, 4669, 892, 568, 513, 1433, 602, 2488, 513, 13801, 543, 4977, 5758, 540, 519, 1433, 779, 9115, 269, 769, 713, 1433, 267, 519, 2278, 7710, 519, 1585, 2127, 540, 938, 2729, 1141, 649, 1995, 1928, 543, 3091, 4052, 3435, 585, 4466, 8323, 563, 1607, 2376, 5713, 607, 606, 4367, 547, 519, 1433, 267, 10223, 922, 1292, 4798, 543, 1883, 1491, 25498, 267, 5356, 3988, 606, 7650, 540, 1018, 789, 666, 2503, 547, 2744, 689, 2542, 621, 269, 6787, 621, 779, 2168, 267, 3929, 267, 610, 22228, 1928, 267, 519, 2278, 2488, 4030, 543, 2994, 547, 948, 3988, 1174, 267, 2232, 267, 543, 7753, 741, 1928, 563, 763, 1433, 6663, 547, 7668, 2043, 547, 1491, 1852, 540, 741, 1378, 7067, 3460, 543, 2661, 513, 1272, 1863, 689, 11991, 7092, 269, 1635, 3695, 1114, 5380, 593, 1928, 543, 5356, 29829, 3268, 267, 968, 8489, 6496, 898, 670, 4669, 892, 5713, 607, 513, 3407, 4199, 585, 4896, 3168, 547, 2087, 741, 1134, 5630, 563, 272, 269, 634, 17714, 1677, 8682, 268, 3891, 2718, 454, 21615, 1046, 593, 513, 13710, 3460, 2509, 1582, 13463, 2718, 609, 4030, 689, 519, 1433, 968, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2690, 326, 4369, 543, 2913, 1154, 3619, 10500, 3305, 725, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 10500, 3305, 725, 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, 0, 6092, 5149, 281, 22878, 543, 12389, 3778, 910, 10289, 8836, 1234, 523, 716, 906, 998, 17421, 612, 904, 543, 11657, 2456, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 2686, 556, 523, 716, 906, 267, 1210, 10344, 607, 938, 3119, 1907, 585, 7634, 543, 2079, 269, 3776, 2013, 1353, 786, 581, 519, 14969, 556, 523, 716, 618, 540, 1977, 4095, 2238, 676, 4436, 23153, 12439, 267, 1634, 607, 834, 24465, 626, 1731, 9383, 889, 1701, 901, 7613, 2488, 721, 609, 513, 2189, 4316, 547, 2263, 2152, 4478, 3961, 267, 6561, 267, 543, 3140, 6041, 1247, 28798, 938, 1983, 538, 8666, 329, 16067, 1143, 543, 17245, 10344, 780, 1262, 4089, 476, 272, 281, 4197, 8836, 1234, 523, 716, 906, 4373, 24292, 556, 523, 716, 906, 3277, 547, 519, 2259, 540, 973, 11661, 3140, 2621, 267, 5389, 267, 610, 2081, 540, 1272, 607, 513, 1797, 540, 8497, 267, 14120, 267, 610, 1565, 827, 519, 2250, 269, 1452, 2238, 1419, 4125, 6946, 3007, 547, 1469, 267, 1519, 4977, 10063, 2388, 540, 7802, 267, 605, 1186, 267, 1893, 267, 543, 5615, 269, 2755, 789, 666, 4196, 3872, 5301, 543, 6536, 2146, 2679, 267, 789, 849, 6318, 2055, 827, 13597, 267, 11475, 267, 543, 12796, 2305, 540, 2528, 780, 265, 12244, 281, 3194, 1114, 2010, 540, 2686, 556, 523, 716, 906, 1472, 519, 1158, 543, 1459, 707, 4681, 538, 1362, 269, 22177, 1262, 4089, 476, 273, 281, 634, 10020, 540, 22878, 538, 11657, 532, 9177, 4373, 21900, 2762, 814, 1279, 1044, 1031, 607, 513, 1907, 585, 25643, 4529, 543, 7239, 267, 3246, 3308, 2963, 540, 1004, 781, 2729, 267, 2853, 267, 543, 4978, 269, 769, 519, 2796, 540, 2686, 556, 523, 716, 906, 267, 21706, 723, 519, 4316, 547, 7001, 1312, 519, 588, 3042, 12644, 543, 519, 3297, 7308, 27214, 25333, 3344, 267, 5356, 4030, 883, 519, 18144, 543, 2833, 540, 1346, 3238, 780, 265, 10112, 9892, 281, 8073, 513, 3126, 540, 11147, 13830, 1585, 2609, 540, 513, 2199, 2686, 2680, 610, 13037, 269, 22177, 1262, 4089, 476, 274, 281, 22718, 17421, 612, 904, 543, 11657, 2456, 4373, 20124, 612, 904, 543, 32026, 2709, 3532, 9423, 2645, 602, 979, 3564, 1367, 2592, 267, 3850, 21706, 547, 6655, 1950, 6386, 543, 6835, 269, 1879, 6313, 971, 1568, 267, 2015, 2188, 899, 5888, 267, 8654, 267, 15971, 267, 543, 1309, 1632, 532, 267, 607, 1134, 607, 6626, 4798, 543, 5683, 4145, 780, 265, 30206, 281, 13772, 543, 1865, 5697, 8666, 612, 904, 543, 32026, 5059, 593, 2686, 556, 523, 716, 906, 267, 7421, 741, 9342, 543, 12755, 269, 22177, 1262, 4089, 476, 275, 281, 8865, 5530, 1107, 4436, 4095, 2037, 28387, 328, 6814, 4373, 14303, 9506, 547, 938, 3355, 1383, 267, 1577, 781, 4983, 875, 21706, 723, 13006, 519, 4436, 4095, 6429, 269, 1284, 786, 5659, 1896, 8666, 3594, 543, 32026, 267, 3695, 3584, 899, 3140, 6111, 267, 3261, 566, 267, 543, 3444, 14426, 5385, 269, 3414, 891, 5717, 267, 1053, 786, 2744, 5813, 883, 519, 1761, 5222, 540, 2686, 556, 523, 716, 906, 593, 4207, 2486, 543, 1367, 9163, 780, 265, 13625, 12143, 281, 7994, 513, 8666, 1557, 610, 17245, 593, 519, 4436, 4095, 6429, 543, 2328, 606, 10763, 1957, 7234, 922, 24575, 540, 2686, 556, 523, 716, 618, 267, 5466, 1312, 2318, 543, 2942, 3344, 269, 22177, 1262, 4089, 476, 276, 281, 4045, 532, 609, 7351, 12367, 4373, 2026, 649, 9959, 938, 1576, 1770, 267, 621, 568, 1898, 547, 2992, 2390, 519, 4296, 1063, 3140, 2686, 556, 523, 716, 906, 543, 2413, 5322, 971, 607, 5430, 2452, 267, 700, 2752, 303, 532, 630, 299, 633, 11059, 10020, 7591, 1070, 543, 824, 3029, 540, 15138, 9913, 269, 1635, 6236, 891, 19320, 267, 1053, 786, 15052, 741, 1620, 540, 1946, 2043, 4497, 538, 971, 2238, 543, 875, 789, 3337, 2123, 543, 7104, 9163, 780, 265, 29806, 5741, 281, 3763, 513, 8666, 1557, 610, 2110, 17245, 593, 513, 4207, 1106, 540, 2686, 556, 523, 716, 618, 267, 5373, 16198, 543, 24716, 609, 519, 4436, 4095, 6429, 950, 3617, 30818, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 335, 21242, 693, 5254, 30204, 21612, 294, 11553, 8577, 267, 12815, 7464, 1436, 10749, 593, 12634, 3864, 3203, 30619, 1700, 18958, 296, 267, 5292, 269, 476, 272, 267, 476, 1001, 277, 454, 763, 14969, 556, 523, 716, 618, 540, 1977, 4095, 2238, 676, 4436, 23153, 12439, 568, 519, 1448, 540, 22576, 585, 590, 553, 15939, 623, 2129, 548, 779, 6404, 2173, 4215, 10380, 4436, 4095, 630, 1220, 276, 1700, 1015, 1040, 12910, 539, 968, 331, 1516, 1686, 892, 676, 930, 540, 519, 4095, 626, 1731, 9383, 889, 5171, 1765, 3228, 344, 8536, 2818, 16030, 2185, 4627, 15731, 267, 2687, 547, 513, 476, 1220, 280, 7447, 272, 9789, 572, 2621, 616, 29600, 676, 519, 6131, 18643, 540, 7802, 543, 13742, 267, 543, 556, 523, 716, 906, 540, 23929, 267, 2575, 267, 543, 1585, 1514, 9821, 610, 12738, 269, 9521, 741, 13413, 538, 519, 2136, 2276, 945, 949, 6108, 3275, 610, 1296, 8600, 1804, 8397, 6406, 2782, 4108, 556, 523, 716, 906, 267, 519, 4436, 15908, 1235, 1445, 811, 593, 3232, 2238, 543, 5920, 982, 1305, 1790, 19991, 12959, 269, 8616, 519, 7029, 547, 2143, 267, 13840, 1808, 556, 523, 716, 906, 568, 3622, 2147, 267, 865, 602, 930, 12439, 1522, 7119, 538, 5742, 543, 20752, 12959, 593, 835, 1554, 543, 513, 751, 701, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 5588, 24209, 1315, 17421, 612, 904, 1299, 11657, 2456, 1315, 18366, 22878, 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, 0, 594, 993, 513, 9488, 321, 1042, 5198, 1817, 572, 26519, 945, 814, 1044, 538, 519, 1870, 585, 936, 476, 736, 1296, 269, 594, 4312, 2141, 6068, 2324, 609, 9640, 267, 855, 899, 1082, 1866, 538, 519, 2872, 267, 594, 2760, 5795, 1454, 2219, 547, 1018, 5949, 547, 873, 2899, 741, 11678, 941, 936, 269, 2334, 782, 4957, 950, 594, 1558, 8861, 267, 513, 6131, 16943, 945, 5249, 5702, 609, 519, 18897, 965, 321, 1042, 2991, 3249, 19137, 630, 307, 8150, 6393, 27880, 729, 13730, 827, 5009, 3743, 7504, 9562, 543, 1310, 3249, 267, 543, 1352, 8118, 1250, 4064, 547, 519, 4641, 5185, 676, 9118, 19622, 5198, 4243, 525, 269, 3509, 1439, 909, 693, 25488, 8075, 1141, 789, 666, 581, 4421, 585, 1970, 5777, 547, 2043, 945, 949, 711, 723, 519, 1702, 610, 1797, 547, 5265, 1416, 585, 873, 269, 901, 1419, 5012, 547, 20495, 267, 4731, 333, 712, 1639, 267, 543, 1256, 26884, 2831, 1107, 621, 781, 2295, 12577, 780, 291, 17827, 547, 1118, 513, 3017, 267, 594, 3459, 23712, 609, 519, 570, 8150, 547, 948, 6318, 4656, 1851, 8284, 30157, 543, 9742, 619, 269, 1284, 3323, 7598, 2242, 1369, 938, 1378, 2146, 267, 4687, 1344, 827, 26886, 1310, 3249, 3292, 543, 10771, 519, 2956, 540, 3246, 10715, 1416, 585, 938, 1226, 710, 9845, 780, 3080, 1554, 267, 649, 4607, 3377, 540, 606, 14460, 544, 732, 3957, 30751, 945, 1185, 1044, 4362, 538, 632, 680, 22789, 2783, 2282, 513, 2199, 3484, 269, 4173, 3105, 8227, 267, 7000, 547, 581, 513, 5449, 7817, 540, 9553, 267, 1185, 2451, 1200, 3297, 1510, 1022, 1426, 610, 1216, 950, 646, 1223, 1100, 3476, 6488, 547, 1832, 1200, 269, 3733, 2295, 521, 1678, 607, 594, 7691, 602, 5103, 1250, 1655, 3646, 267, 835, 540, 834, 3240, 257, 9640, 1185, 15468, 998, 519, 18015, 780, 30342, 1312, 16203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1677, 7247, 1281, 9478, 5873, 519, 570, 691, 1513, 32467, 888, 273, 269, 1548, 568, 519, 2012, 540, 519, 28183, 543, 14500, 540, 519, 4622, 540, 12996, 593, 513, 14629, 1657, 519, 966, 626, 3121, 5211, 888, 274, 269, 2991, 9478, 6645, 4432, 345, 321, 2884, 6390, 1018, 646, 786, 798, 952, 16091, 267, 1018, 1281, 4432, 345, 321, 2884, 6390, 9153, 888, 275, 269, 5808, 2729, 1657, 519, 4077, 26506, 330, 529, 888, 276, 269, 1548, 1281, 519, 24928, 2709, 547, 853, 553, 585, 3858, 532, 547, 22342, 593, 9478, 781, 1920, 888, 14112, 4828, 5999, 454, 272, 269, 769, 3848, 476, 275, 267, 1018, 4386, 950, 519, 4077, 26506, 7288, 1920, 9311, 625, 3967, 23006, 344, 547, 1010, 1753, 888, 273, 269, 769, 3848, 476, 272, 267, 1310, 519, 24928, 3091, 547, 4444, 519, 6221, 9361, 538, 7754, 12448, 781, 530, 6782, 267, 1018, 4523, 888, 274, 269, 4208, 798, 519, 14470, 1004, 6430, 711, 547, 9718, 918, 21531, 578, 543, 1577, 519, 570, 691, 1513, 10788, 720, 741, 2749, 888, 275, 269, 769, 3848, 476, 278, 267, 593, 519, 3781, 602, 4432, 345, 321, 2884, 6390, 6645, 9478, 602, 20435, 2558, 532, 568, 609, 1200, 11515, 267, 1018, 3116, 1281, 1352, 2995, 1864, 827, 918, 516, 583, 345, 888, 276, 269, 769, 3848, 476, 280, 267, 568, 8834, 540, 519, 29502, 8131, 3811, 538, 13844, 519, 14951, 888, 277, 269, 1215, 1281, 8834, 540, 519, 29502, 8131, 1544, 547, 2736, 883, 7754, 12448, 781, 19887, 543, 21102, 519, 14951, 538, 3848, 476, 280, 888, 278, 269, 11512, 875, 519, 14470, 1004, 1745, 607, 789, 723, 547, 4734, 741, 14252, 1317, 789, 917, 519, 570, 691, 1513, 616, 21945, 563, 279, 269, 5903, 930, 540, 519, 1919, 602, 9478, 12034, 543, 30650, 607, 646, 1101, 5036, 1010, 24738, 593, 519, 2749, 538, 3848, 476, 273, 563, 280, 269, 14674, 875, 519, 1004, 540, 12996, 1745, 950, 789, 5873, 602, 519, 570, 691, 1513, 616, 15292, 532, 4724, 741, 2244, 888, 1015, 269, 11512, 1946, 1082, 1004, 3343, 3967, 23006, 344, 781, 5796, 563, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 28097, 875, 519, 2278, 6799, 519, 1514, 1362, 2497, 538, 918, 21531, 578, 538, 476, 16409, 272, 269, 6496, 519, 2278, 781, 6609, 540, 891, 1514, 5049, 3280, 899, 621, 729, 606, 2500, 1259, 540, 10647, 2486, 286, 6496, 1010, 6609, 1118, 621, 3280, 899, 606, 1367, 1223, 3362, 1689, 1514, 5049, 286, 12315, 1806, 547, 1489, 707, 3932, 563, 13625, 13445, 476, 273, 454, 763, 2278, 3096, 1312, 22509, 17495, 12976, 543, 24457, 2429, 519, 1433, 269, 11512, 799, 835, 568, 811, 2500, 607, 513, 5339, 3926, 267, 799, 835, 596, 2972, 2542, 811, 267, 543, 4128, 1946, 563, 13625, 13445, 476, 274, 454, 3963, 798, 596, 1589, 519, 2278, 1031, 1312, 14070, 543, 1875, 1922, 12302, 3197, 538, 519, 3209, 286, 1684, 596, 1589, 621, 568, 14845, 547, 9192, 3020, 543, 1500, 909, 3197, 286, 1403, 596, 941, 25461, 609, 1603, 513, 3140, 5708, 3209, 267, 1131, 596, 798, 621, 519, 1482, 1259, 602, 713, 2278, 1705, 286, 4208, 610, 1946, 711, 888, 1607, 3296, 3568, 476, 280, 5379, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 28053, 6049, 6165, 568, 513, 3056, 2014, 540, 2634, 2860, 563, 5719, 321, 622, 681, 2432, 630, 274, 994, 1607, 7521, 786, 6961, 267, 835, 1259, 610, 1776, 267, 952, 519, 2923, 814, 513, 5748, 585, 1818, 519, 27069, 3409, 563, 296, 786, 946, 1079, 7440, 585, 713, 7521, 454, 272, 264, 898, 568, 1869, 31713, 2436, 610, 711, 1591, 11436, 2014, 2634, 2860, 454, 273, 264, 23985, 3112, 581, 519, 3056, 2014, 540, 2634, 2860, 952, 621, 1281, 711, 2014, 621, 267, 610, 952, 621, 568, 3274, 711, 519, 19845, 4696, 5058, 2014, 454, 272, 264, 1703, 723, 1044, 9118, 2090, 3843, 547, 1294, 952, 1591, 11436, 798, 2014, 2634, 2860, 2807, 1656, 972, 568, 1360, 20849, 2963, 6029, 1022, 9756, 1063, 1591, 6049, 946, 543, 2634, 2860, 269, 17796, 2630, 782, 1397, 875, 1591, 11436, 616, 711, 5532, 547, 2634, 2860, 454, 24281, 519, 4102, 1353, 2943, 540, 922, 2186, 267, 20636, 3173, 723, 1336, 1100, 9756, 1063, 946, 540, 1591, 10746, 543, 1981, 585, 2634, 12970, 538, 4079, 4799, 257, 307, 32214, 3928, 538, 7187, 3864, 2477, 723, 7283, 11931, 998, 476, 1220, 279, 5103, 7839, 1591, 6049, 946, 4840, 257, 3080, 540, 519, 4102, 543, 13074, 2090, 593, 519, 1641, 9060, 1100, 811, 2634, 12970, 1851, 1004, 945, 1185, 1591, 11436, 936, 476, 1704, 1296, 982, 1851, 1004, 945, 1185, 1100, 1591, 11436, 4799, 257, 12573, 267, 1822, 1004, 6502, 476, 1789, 543, 4587, 543, 1336, 972, 729, 1100, 3017, 538, 2860, 3928, 1063, 1279, 5503, 1591, 6049, 834, 11357, 30533, 619, 257, 543, 1346, 945, 4769, 1405, 723, 513, 6049, 2437, 454, 257, 1729, 4266, 972, 568, 1100, 2963, 689, 2090, 540, 2281, 267, 2831, 267, 610, 3425, 602, 5925, 325, 15968, 1648, 666, 2014, 2860, 4799, 10454, 1382, 2319, 9916, 519, 5619, 1239, 543, 7948, 1405, 1265, 1022, 3095, 1063, 1591, 6049, 6165, 543, 2634, 12970, 4840, 24679, 781, 3810, 12691, 602, 1591, 11436, 2014, 2860, 1317, 789, 12520, 834, 12061, 23760, 1944, 5982, 257, 799, 568, 1360, 4617, 543, 3085, 1405, 2731, 1860, 2713, 2281, 4840, 21202, 1279, 3856, 1353, 540, 20636, 5985, 6049, 946, 814, 796, 25406, 665, 958, 5462, 602, 972, 568, 1100, 4276, 1063, 5985, 6049, 946, 543, 1585, 11871, 540, 519, 2634, 4840, 257, 10702, 1382, 814, 1044, 3370, 11021, 972, 568, 1100, 3095, 1063, 5985, 11436, 543, 2634, 2860, 4799, 24281, 1034, 2090, 2550, 609, 2634, 12970, 798, 711, 1867, 811, 1591, 6049, 946, 2949, 982, 519, 8060, 4799, 21202, 1007, 1353, 814, 7000, 602, 1453, 543, 10708, 945, 946, 5985, 11436, 616, 711, 693, 513, 19250, 1713, 2799, 1981, 540, 2634, 2860, 3379, 547, 741, 9905, 945, 798, 711, 946, 5985, 11436, 4799, 257, 6624, 4966, 3858, 602, 547, 4266, 267, 972, 568, 1100, 598, 5477, 2963, 602, 6402, 1591, 268, 7483, 946, 547, 2634, 2860, 4840, 257, 276, 5479, 1591, 6049, 3755, 11451, 267, 8204, 5176, 1614, 6709, 11467, 540, 519, 1158, 781, 2551, 269, 1717, 267, 519, 11841, 543, 9019, 2557, 540, 2634, 543, 3844, 8401, 1062, 11871, 814, 7283, 12303, 6366, 2094, 476, 2735, 278, 4840, 3383, 519, 1448, 568, 267, 8426, 11436, 798, 711, 17046, 569, 2014, 11020, 9435, 454, 273, 264, 634, 2034, 3364, 594, 1616, 547, 2232, 568, 519, 1699, 1592, 540, 3056, 3123, 540, 11020, 2860, 538, 1100, 1880, 1931, 454, 268, 22452, 547, 5982, 899, 6046, 1379, 2030, 4600, 454, 268, 22452, 270, 8196, 540, 31131, 24957, 2676, 268, 22452, 547, 15550, 2643, 25914, 1938, 602, 5540, 1004, 945, 5478, 1978, 2010, 540, 5068, 454, 268, 22452, 547, 3600, 787, 23127, 527, 686, 548, 602, 5540, 1004, 945, 5478, 1978, 2010, 540, 20955, 543, 15229, 454, 268, 5525, 3976, 2484, 723, 711, 1336, 606, 2799, 1981, 540, 2634, 12970, 1851, 1004, 945, 946, 1591, 11436, 563, 3383, 1591, 11436, 616, 711, 8810, 547, 2014, 11020, 2860, 543, 607, 540, 1318, 1631, 621, 568, 1034, 6157, 711, 519, 3056, 2014, 540, 2634, 2860, 563, 1231, 573, 1190, 585, 10623, 1243, 713, 5180, 563, 296, 8831, 1250, 7440, 907, 2483, 1231, 573, 1190, 585, 10623, 1243, 713, 5180, 563, 272, 16018, 814, 1044, 5116, 585, 713, 7521, 563, 309, 1774, 1773, 3166, 676, 476, 272, 706, 560, 335, 3881, 476, 275, 1296, 3516, 454, 347, 13070, 7517, 609, 1354, 519, 7521, 10573, 268, 1475, 268, 1475, 271, 2798, 2008, 347, 13070, 7517, 609, 1310, 519, 7521, 10573, 268, 1475, 268, 1475, 271, 2798, 2008, 347, 8005, 1185, 1732, 2932, 10573, 268, 1475, 268, 1475, 272, 1448, 2008, 347, 295, 611, 1732, 10259, 543, 8239, 10573, 268, 1475, 268, 1475, 272, 1448, 2008, 23277, 1228, 811, 20310, 7440, 10573, 268, 1475, 268, 1475, 274, 2798, 2008, 347, 5825, 539, 519, 1034, 6325, 2959, 10573, 268, 1475, 268, 1475, 273, 2798, 2008, 347, 13707, 2798, 13752, 10573, 271, 1475, 275, 2008, 3725, 3517, 585, 13359, 3375, 281, 9701, 581, 6654, 563, 2791, 616, 711, 14718, 547, 8917, 593, 713, 7521, 454, 1607, 7521, 814, 1044, 27358, 547, 1152, 1450, 17037, 945, 2743, 519, 4170, 1305, 676, 519, 3181, 11596, 269, 901, 7521, 2901, 814, 606, 4432, 334, 6060, 10421, 610, 568, 547, 581, 20366, 593, 676, 513, 2824, 8470, 540, 16488, 269, 0, 3080, 540, 519, 10747, 4162, 540, 10295, 8552, 4524, 630, 32359, 264, 568, 7411, 609, 1893, 543, 2792, 269, 272, 5753, 609, 20284, 781, 12614, 540, 6340, 568, 2356, 16607, 267, 543, 1082, 1453, 609, 20284, 9846, 3132, 1893, 1447, 4749, 543, 540, 2539, 30827, 543, 21342, 6988, 982, 741, 3335, 3384, 630, 31813, 264, 9905, 269, 277, 267, 279, 267, 1321, 267, 2537, 1717, 267, 1453, 609, 20284, 849, 8858, 513, 1713, 1514, 17211, 267, 543, 3173, 543, 19353, 3136, 547, 7521, 519, 6708, 547, 799, 519, 22907, 538, 1514, 5872, 2272, 585, 610, 3565, 547, 519, 22907, 538, 1893, 2504, 269, 276, 267, 1691, 267, 866, 267, 1839, 454, 24092, 1242, 10526, 540, 1893, 538, 1453, 609, 20284, 2356, 798, 1331, 513, 8223, 5057, 282, 2705, 267, 1082, 971, 8223, 4247, 2708, 1175, 835, 2460, 540, 1893, 630, 324, 3052, 1421, 6863, 1070, 276, 610, 1331, 513, 1713, 5179, 5057, 630, 324, 3052, 1421, 15738, 267, 957, 13050, 1070, 543, 5924, 2154, 1453, 547, 22393, 3442, 1063, 513, 1297, 540, 8925, 269, 1452, 2063, 1079, 5615, 616, 1634, 547, 849, 581, 4101, 547, 1453, 609, 20284, 269, 278, 267, 1321, 267, 1724, 267, 1626, 454, 2171, 1459, 513, 1505, 799, 666, 2708, 519, 1893, 8223, 540, 1762, 3335, 3384, 1453, 630, 280, 268, 3607, 3275, 264, 543, 1453, 609, 10295, 269, 273, 267, 275, 267, 280, 267, 1556, 267, 2420, 901, 1505, 267, 5800, 762, 769, 3410, 27567, 2776, 325, 22460, 18391, 630, 303, 268, 7709, 299, 1070, 3785, 2427, 8386, 20933, 3381, 2592, 689, 513, 15291, 5196, 513, 15409, 5496, 269, 634, 3381, 2592, 616, 19610, 1101, 609, 513, 1412, 21353, 5202, 262, 630, 333, 1180, 1311, 532, 264, 8301, 267, 543, 1287, 4843, 1586, 19610, 609, 513, 1412, 11687, 262, 10409, 8301, 602, 13292, 1152, 835, 540, 519, 3381, 2592, 269, 5753, 781, 3750, 5322, 1247, 8384, 519, 3381, 616, 2083, 4364, 543, 2663, 27573, 269, 5753, 945, 1174, 519, 10409, 8301, 786, 1413, 811, 3533, 547, 267, 543, 3476, 693, 267, 519, 3381, 602, 13292, 519, 10409, 8301, 269, 273, 267, 275, 267, 1556, 267, 1240, 267, 2420, 267, 2918, 454, 1607, 17565, 2882, 513, 1297, 540, 3334, 602, 723, 5063, 1044, 9910, 4405, 1242, 630, 2889, 915, 528, 267, 4342, 322, 4650, 267, 7857, 6500, 264, 547, 5512, 2823, 1464, 543, 2653, 14764, 538, 1453, 781, 5321, 269, 901, 568, 513, 2629, 1448, 585, 12570, 1762, 1453, 609, 20284, 267, 945, 616, 4749, 13943, 538, 1007, 630, 324, 3052, 1421, 8047, 264, 5468, 269, 27678, 666, 581, 2813, 547, 2708, 513, 2647, 2039, 540, 1808, 3334, 540, 10409, 1702, 267, 971, 607, 13595, 13305, 8538, 268, 30606, 2262, 1931, 267, 627, 6709, 5465, 267, 543, 13029, 270, 553, 1051, 21879, 525, 593, 13450, 282, 7044, 666, 849, 2708, 3741, 540, 2262, 1565, 971, 607, 513, 10902, 9186, 267, 513, 3337, 9186, 267, 543, 4852, 12519, 18849, 14259, 6137, 269, 1015, 267, 1691, 267, 1704, 267, 2641, 267, 2190, 27678, 1331, 3197, 543, 4633, 602, 616, 11617, 543, 1035, 24065, 1227, 32330, 543, 1134, 7109, 730, 676, 1453, 609, 20284, 563, 866, 13565, 11835, 12717, 15080, 2336, 7417, 294, 16334, 681, 20263, 538, 30003, 543, 589, 20200, 673, 4886, 454, 9743, 4801, 281, 2160, 540, 6115, 267, 2160, 540, 6115, 563, 16978, 549, 775, 13921, 2762, 630, 7417, 294, 264, 568, 606, 2500, 267, 3608, 267, 543, 1875, 514, 15230, 1505, 540, 12570, 543, 10916, 2634, 2534, 269, 9717, 519, 5140, 13796, 6571, 267, 661, 9680, 666, 581, 1031, 547, 4983, 519, 8849, 3210, 1644, 547, 1808, 5615, 267, 2829, 267, 610, 5007, 15128, 269, 1323, 1383 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3047, 1317, 596, 2461, 711, 2111, 547, 1205, 7722, 538, 707, 1378, 1272, 693, 476, 1911, 10065, 1411, 2141, 1745, 1447, 982, 269, 1924, 519, 1034, 1271, 3364, 568, 1205, 2126, 585, 1010, 4965, 267, 2523, 609, 713, 2085, 563, 288, 3240, 16026, 3081, 281, 9802, 476, 1428, 267, 476, 1708, 273, 693, 476, 279, 281, 1556, 6751, 454, 7069, 8250, 267, 2085, 476, 2537, 267, 8995, 3670, 1296, 3516, 269, 15775, 7850, 6527, 585, 1200, 568, 513, 2760, 268, 2056, 4783, 540, 17140, 543, 594, 993, 538, 17229, 1318, 1631, 269, 4173, 4387, 1095, 32606, 519, 1199, 338, 267, 855, 6142, 786, 711, 3382, 267, 610, 786, 3382, 3368, 540, 1018, 646, 1095, 32606, 269, 2701, 568, 7142, 547, 3442, 1063, 2921, 519, 2407, 9570, 543, 2348, 1079, 4374, 540, 7607, 543, 1287, 2348, 1100, 1199, 338, 543, 12008, 519, 1985, 1079, 4374, 269, 2107, 2921, 3368, 540, 519, 11311, 18262, 543, 4743, 13148, 25805, 585, 476, 1789, 2395, 269, 9453, 519, 6142, 1352, 666, 1406, 6488, 519, 1269, 4366, 276, 3923, 1942, 540, 1200, 1199, 338, 269, 2201, 1283, 540, 602, 267, 519, 31749, 8060, 593, 6417, 6878, 723, 782, 519, 14278, 1235, 9117, 899, 1352, 779, 1175, 3843, 547, 1205, 1164, 269, 898, 568, 513, 2407, 942, 2816, 547, 2119, 547, 21389, 4120, 782, 713, 454, 10387, 1176, 3081, 281, 20606, 476, 3066, 267, 476, 1708, 273, 693, 476, 273, 281, 6795, 7537, 454, 27306, 330, 952, 713, 786, 581, 5363, 855, 267, 16172, 1310, 594, 729, 1101, 8995, 594, 4503, 1250, 6142, 269, 594, 3323, 2469, 547, 513, 4747, 1759, 16758, 538, 1250, 1858, 269, 1358, 1185, 513, 8748, 14799, 972, 602, 14553, 5280, 609, 3478, 1863, 6527, 585, 1004, 1008, 580, 559, 729, 6646, 602, 594, 729, 593, 543, 621, 729, 950, 621, 1101, 3357, 856, 621, 3361, 20733, 540, 1269, 275, 267, 1822, 513, 3923, 543, 519, 2754, 2366, 803, 1863, 1199, 338, 538, 519, 13875, 585, 476, 273, 1296, 269, 16593, 2685, 596, 666, 1265, 513, 2147, 3510, 2282, 1141, 596, 2661, 1522, 1491, 513, 2370, 3787, 540, 1382, 855, 538, 519, 1439, 2436, 1352, 814, 6142, 610, 711, 952, 1352, 3085, 1406, 1118, 513, 1978, 2179, 540, 2724, 789, 786, 948, 1200, 538, 3478, 1200, 1199, 338, 543, 1352, 4465, 1406, 723, 547, 6560, 865, 1454, 269, 6153, 9939, 563, 529, 562, 541, 1723, 548, 10043, 513, 2790, 4576, 910, 8492, 1041, 338, 2593, 3081, 281, 20826, 476, 280, 267, 476, 1708, 273, 693, 476, 276, 281, 6021, 6751, 454, 314, 2507, 316, 23902, 1723, 548, 10043, 1107, 634, 4107, 7201, 3603, 10076, 2657, 918, 14525, 2560, 20965, 309, 514, 340, 3081, 281, 20826, 476, 736, 267, 476, 1708, 273, 693, 476, 277, 281, 6321, 7537, 454, 1607, 27096, 673, 16991, 4524, 267, 898, 779, 1419, 2352, 547, 13209, 855, 972, 616, 8795, 2589, 602, 666, 1491, 942, 547, 13209, 1403, 596, 610, 2576, 596, 917, 568, 10010, 609, 713, 4524, 267, 621, 779, 1271, 547, 3343, 856, 3318, 948, 269, 901, 666, 581, 2352, 543, 14845, 267, 855, 972, 616, 2200, 2139, 547, 948, 269, 1403, 596, 610, 707, 6068, 835, 2115, 1489, 4466, 519, 1318, 5868, 543, 5574, 267, 5225, 3914, 856, 585, 948, 269, 0, 24404, 916, 538, 713, 1305, 630, 1691, 994, 1607, 957, 1500, 519, 1426, 543, 10684, 2920, 811, 3102, 547, 1331, 30143, 269, 634, 957, 849, 11225, 3765, 25912, 532, 610, 13277, 614, 566, 540, 5061, 547, 581, 10363, 267, 901, 957, 3340, 3075, 3549, 547, 1683, 10189, 7696, 338, 267, 7528, 2231, 602, 4356, 268, 14127, 5061, 581, 13042, 834, 16673, 581, 4356, 8108, 257, 2073, 3340, 602, 513, 1007, 3075, 814, 547, 581, 8810, 2922, 896, 15111, 4808, 1354, 6725, 454, 1607, 957, 30193, 10828, 5061, 9638, 637, 5524, 264, 689, 519, 936, 519, 4831, 5061, 630, 5588, 290, 1040, 901, 957, 3340, 3549, 547, 6003, 10828, 5061, 834, 25519, 1081, 281, 293, 3985, 1876, 10238, 1080, 7006, 14819, 1510, 513, 13310, 2580, 3340, 10629, 15569, 585, 519, 6718, 540, 10828, 5061, 269, 4746, 267, 936, 519, 4831, 5061, 1510, 2564, 15569, 616, 2838, 547, 723, 593, 519, 6003, 281, 8605, 8745, 267, 8745, 543, 17372, 540, 10672, 267, 15765, 5820, 267, 9424, 540, 782, 824, 5820, 2436, 3742, 610, 711, 454, 1607, 957, 6908, 6050, 519, 1184, 585, 26587, 13170, 540, 13598, 5061, 269, 898, 849, 2285, 9755, 15314, 547, 1020, 1007, 5061, 676, 4758, 14664, 24909, 269, 901, 957, 2636, 13598, 3075, 3549, 519, 2702, 547, 7048, 593, 3106, 543, 12117, 4681, 540, 606, 3048, 1807, 781, 3075, 1310, 519, 1163, 19418, 540, 519, 14664, 563, 10743, 849, 9763, 454, 8448, 5036, 676, 713, 17082, 454, 8448, 13658, 2280, 5036, 0, 763, 29942, 1849, 1442, 22845, 454, 2690, 519, 1082, 5656, 543, 5238, 602, 723, 8704, 12616, 23234, 538, 741, 6703, 267, 1082, 540, 873, 4440, 10093, 1406, 1185, 519, 4960, 547, 11523, 835, 1930, 547, 1294, 1018, 568, 2731, 12419, 519, 2029, 602, 513, 12616, 9219, 2488, 269, 15223, 7204, 779, 12616, 23234, 616, 3710, 609, 1152, 519, 5207, 2298, 2326, 267, 799, 568, 4553, 676, 9488, 1587, 4152, 1354, 519, 695, 3612, 3762, 519, 7450, 269, 634, 2326, 267, 519, 5547, 12545, 267, 519, 2256, 1392, 267, 543, 519, 1379, 7727, 602, 979, 883, 891, 3457, 616, 865, 5402, 7229, 267, 799, 568, 1946, 15223, 7204, 779, 12616, 1949, 616, 2111, 547, 1683, 6703, 609, 971, 606, 4977, 267, 2943, 5826, 6954, 942, 2707, 269, 12989, 616, 811, 2143, 3137, 540, 1018, 568, 2469, 883, 1142, 543, 1169, 12616, 9219, 602, 15223, 7204, 7472, 563, 272, 269, 634, 2013, 454, 3080, 540, 519, 1034, 1271, 2694, 7282, 15006, 568, 519, 2013, 1031, 585, 519, 9219, 269, 15223, 7204, 3096, 1164, 7779, 589, 7034, 602, 666, 16641, 3592, 1022, 6057, 267, 2436, 519, 1604, 568, 513, 6413, 267, 1153, 267, 610, 513, 5663, 2030, 269, 901, 14463, 2013, 849, 814, 519, 2816, 540, 7863, 519, 1271, 2028, 1023, 540, 519, 9219, 602, 1832, 621, 5665, 5265, 563, 273, 269, 634, 12627, 454, 5194, 1271, 851, 950, 621, 2501, 547, 15006, 568, 519, 12627, 269, 2755, 1082, 15712, 946, 10464, 5068, 610, 4837, 585, 519, 4395, 540, 741, 9219, 267, 15223, 7204, 3096, 513, 1570, 1572, 4874, 21666, 622, 269, 901, 1570, 568, 695, 2660, 31383, 267, 865, 4376, 602, 2501, 538, 3346, 609, 519, 4395, 540, 519, 9219, 786, 711, 2014, 519, 9219, 3068, 547, 2736, 883, 513, 2929, 4773, 269, 901, 1570, 568, 2178, 2614, 267, 602, 596, 1223, 1491, 15223, 7204, 779, 12627, 267, 2322, 621, 593, 519, 2666, 543, 7914, 593, 621, 7683, 267, 543, 596, 9327, 1406, 581, 2111, 547, 2736, 621, 563, 274, 269, 634, 3350, 454, 763, 2295, 267, 519, 24039, 267, 519, 5057, 602, 8952, 519, 3946, 3001, 693, 606, 4977, 10605, 568, 519, 9219, 3350, 269, 15223, 7204, 779, 5322, 616, 540, 519, 5207, 2298, 267, 5885, 606, 5863, 569, 1970, 5821, 2557, 267, 543, 3001, 7561, 547, 1683, 1279, 3856, 6007, 1272, 630, 276, 268, 279, 1296, 1916, 275, 269, 634, 5547, 4604, 454, 306, 320, 7204, 8030, 723, 2919, 606, 12746, 9219, 5547, 4604, 865, 4359, 267, 519, 6735, 3112, 5635, 269, 1635, 2348, 519, 2702, 547, 6494, 543, 4309, 513, 12616, 5365, 1369, 922, 8953, 267, 1142, 9219, 779, 5547, 4604, 2636, 519, 17513, 547, 957, 607, 513, 4735, 831, 1369, 519, 4890, 9219, 269, 901, 786, 4163, 519, 5365, 20991, 543, 6793, 267, 543, 6038, 2870, 513, 17450, 3060, 1369, 519, 9744, 540, 799, 621, 568, 8704, 563, 763, 12616, 9219, 689, 15223, 7204, 568, 1454, 811, 982, 519, 9219, 596, 1175, 13793, 593, 519, 3774, 269, 634, 1646, 543, 5647, 2322, 883, 713, 9219, 949, 711, 10880, 606, 1367, 693, 1101, 8289, 540, 519, 3926, 267, 855, 1310, 2921, 513, 6251, 1413, 543, 6148, 1256, 25305, 621, 1930, 267, 596, 3580, 1265, 15223, 7204, 779, 3646, 1025, 520, 14688, 2429, 269, 0, 1432, 568, 606, 3662, 3868, 1807, 543, 875, 547, 1831, 835, 454, 2710, 596, 723, 513, 2178, 2078, 609, 2831, 286, 1403, 865, 267, 596, 1522, 1616, 547, 1831, 606, 3662, 3868, 1807, 2336, 27154, 3868, 2209, 616, 1004, 945, 666, 5968, 7658, 12949, 1227, 609, 2831, 267, 543, 789, 666, 1419, 1683, 5813, 883, 1018, 519, 2831, 616, 3206, 610, 4743, 563, 7212, 519, 5578, 949, 3100, 12357, 547, 930, 267, 3662, 3868, 2209, 2161, 621, 568, 3274, 513, 2339, 540, 6679, 707, 2247, 543, 25122, 538, 547, 519, 3662, 779, 4555, 563, 2252, 596, 2461, 5461, 538, 1565, 811, 827, 713, 2189, 5578, 267, 1224, 593, 2336, 1432, 568, 606, 3662, 3868, 1807, 543, 1018, 798, 789, 798, 454, 27154, 3868, 2209, 616, 2043, 945, 3409, 547, 581, 2111, 547, 5968, 609, 2831, 269, 901, 1106, 540, 2792, 568, 2356, 26068, 267, 543, 621, 949, 4125, 7658, 15797, 267, 804, 1515, 341, 1195, 766, 267, 610, 3274, 513, 2620, 1620, 540, 3662, 2623, 563, 27154, 3868, 2209, 1419, 960, 609, 4620, 5411, 547, 948, 873, 1732, 1174, 741, 3662, 15274, 269, 1358, 949, 849, 1683, 5583, 593, 8965, 2042, 267, 1072, 2152, 267, 610, 824, 6927, 563, 4407, 519, 2856, 540, 3662, 3868, 2209, 949, 3100, 2484, 1922, 564, 3481, 547, 930, 267, 972, 568, 1100, 3621, 2963, 602, 621, 568, 711, 2009, 269, 10960, 3868, 2209, 2161, 789, 616, 2111, 547, 1921, 609, 2831, 593, 513, 4514, 1377, 267, 543, 1082, 1004, 3494, 789, 723, 5280, 2087, 519, 2729, 540, 1312, 2831, 543, 741, 5411, 563, 1692, 1281, 3662, 2792, 960, 454, 27154, 2792, 568, 606, 11212, 1950, 543, 4241, 1641, 269, 2755, 649, 1419, 1589, 540, 2792, 607, 1945, 602, 3340, 1913, 267, 2831, 616, 5827, 540, 14379, 538, 513, 3099, 540, 2081, 563, 24058, 10291, 616, 606, 1271, 1106, 540, 2792, 585, 1082, 2831, 267, 1519, 1312, 1560, 1893, 543, 11132, 7215, 269, 1280, 1383, 267, 513, 2915, 949, 530, 698, 922, 2766, 547, 5815, 8788, 267, 1247, 513, 3032, 949, 2895, 922, 1394, 547, 5815, 14699, 563, 306, 895, 6786, 616, 849, 1455, 267, 543, 666, 1491, 519, 1106, 540, 1312, 13047, 3074, 543, 1875, 8686, 5914, 4992, 269, 700, 687, 267, 585, 1383, 267, 946, 887, 1513, 547, 7682, 17282, 267, 1247, 5017, 669, 597, 335, 547, 4482, 29982, 563, 30469, 16371, 6786, 616, 849, 1031, 676, 1082, 2831, 267, 2523, 1346, 609, 513, 2178, 2631, 540, 9329, 269, 17268, 267, 585, 1383, 267, 946, 20416, 15374, 547, 1665, 741, 8513, 269, 10960, 2792, 568, 606, 11212, 9867, 543, 1950, 2361, 267, 609, 1007, 8906, 782, 519, 942, 563, 1692, 547, 1831, 606, 3662, 3868, 1807, 454, 27154, 3868, 2209, 616, 1004, 945, 616, 2111, 547, 1921, 609, 2831, 593, 513, 5289, 1377, 267, 543, 1174, 741, 4555, 543, 4606, 269, 4014, 930, 1004, 616, 4535, 609, 713, 2702, 267, 621, 568, 1945, 4896, 666, 1451, 269, 3371, 616, 930, 4388, 593, 875, 547, 1831, 606, 3662, 3868, 1807, 912, 268, 1975, 754, 942, 1472, 2831, 269, 634, 811, 942, 596, 6108, 1472, 2831, 267, 519, 4443, 621, 786, 581, 547, 1140, 2317, 547, 741, 1648, 269, 1975, 754, 942, 11287, 873, 543, 2119, 547, 1174, 741, 1560, 1893, 543, 13047, 3074, 563, 268, 19415, 547, 707, 20932, 269, 1879, 596, 616, 1472, 2831, 267, 2628, 3007, 547, 1022, 8937, 4606, 610, 16022, 4555, 602, 2097, 547, 596, 269, 1452, 949, 581, 6835, 689, 519, 3662, 3294, 563, 268, 3763, 513, 9066, 2259, 269, 25990, 2337, 9602, 707, 2247, 543, 2306, 621, 4443, 547, 19820, 883, 519, 3662, 779, 1648, 269, 8347, 7836, 476, 1015, 268, 1428, 3764, 1142, 1554, 538, 16563, 267, 2519, 593, 707, 7244, 563, 268, 6657, 14839, 269, 10960, 2792, 1419, 4523, 593, 513, 2790, 1377, 267, 865, 621, 568, 1271, 547, 24917, 707, 14839, 1983, 269, 6657, 3182, 1005, 1919, 5693, 538, 707, 2247, 267, 543, 1294, 952, 596, 666, 4584, 909, 3877, 827, 519, 3662, 779, 5920, 610, 1604, 563, 4415, 930, 2259, 267, 4896, 666, 1451, 875, 547, 5968, 609, 2831, 269, 1635, 6679, 909, 713, 1899, 540, 2792, 267, 649, 666, 15052, 938, 4276, 609, 782, 540, 2470, 563, 763, 2640, 540, 4742, 606, 3662, 3868, 1807, 454, 27154, 2792, 568, 513, 6385, 3395, 2361, 609, 1082, 2640, 269, 10960, 3868, 2209, 948, 8115, 519, 7934, 1063, 3425, 543, 2831, 267, 3246, 513, 4514, 1377, 540, 1620, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2710, 711, 24495, 545, 1125, 267, 896, 1467, 267, 610, 2322, 10530, 1472, 519, 10643, 540, 10156, 1568, 1369, 3476, 1568, 269, 12700, 593, 11711, 267, 5549, 269, 8585, 26713, 268, 31812, 781, 1908, 326, 5573, 8675, 476, 1015, 628, 1196, 269, 634, 5022, 1058, 581, 519, 1482, 2450, 543, 2511, 607, 519, 1964, 540, 519, 3561, 476, 1321, 1448, 13944, 563, 17484, 519, 2361, 609, 513, 1974, 269, 1280, 513, 2143, 4901, 593, 19696, 4930, 543, 824, 12326, 538, 1974, 25025, 267, 5225, 1294, 3848, 476, 276, 269, 901, 1985, 3296, 2488, 1344, 547, 948, 596, 5265, 2497, 543, 10891, 519, 4408, 540, 4589, 538, 824, 4654, 563, 2691, 596, 616, 1603, 707, 1867, 267, 596, 786, 946, 519, 2959, 538, 707, 15853, 547, 7618, 596, 540, 1114, 5013, 543, 4282, 1344, 596, 1031, 585, 707, 2257, 4023, 1788, 269, 2201, 519, 3163, 6844, 625, 3896, 649, 946, 519, 1739, 4808, 281, 1306, 596, 1265, 713, 1344, 621, 786, 581, 1271, 585, 596, 547, 2328, 1524, 1141, 519, 2959, 616, 689, 563, 17730, 519, 9980, 1845, 634, 2407, 11239, 13366, 2196, 2059, 519, 2451, 2427, 540, 519, 1957, 267, 2059, 519, 835, 10759, 14345, 269, 1403, 519, 1592, 8255, 5196, 519, 1985, 2985, 1310, 602, 267, 621, 1131, 581, 2985, 476, 280, 269, 3509, 8874, 543, 9413, 267, 585, 3236, 267, 2253, 609, 519, 2140, 267, 2094, 1100, 2278, 568, 1459, 269, 3371, 568, 875, 519, 2407, 17090, 1568, 11855, 3896, 7127, 1131, 1413, 593, 519, 2985, 281, 9255, 513, 5595, 2230, 2630, 519, 2140, 543, 519, 1101, 11239, 593, 519, 2985, 563, 293, 2393, 16694, 610, 7736, 16694, 1383, 476, 272, 8176, 631, 269, 634, 1974, 673, 2140, 568, 2196, 538, 2140, 2013, 267, 543, 568, 4553, 676, 519, 4320, 1297, 799, 267, 609, 519, 2140, 267, 568, 849, 24495, 545, 1242, 563, 2791, 949, 849, 1331, 2009, 6286, 540, 707, 1382, 543, 2104, 960, 596, 1294, 4448, 609, 707, 4681, 269, 1403, 782, 540, 519, 1344, 538, 513, 5037, 3357, 689, 519, 1482, 2985, 540, 519, 1482, 2707, 610, 733, 27631, 3817, 540, 519, 1482, 2707, 267, 596, 1152, 991, 547, 13712, 519, 2063, 4845, 538, 602, 5037, 563, 1103, 634, 1007, 22605, 12766, 24628, 5292, 269, 901, 3391, 5205, 519, 4808, 538, 741, 1699, 7160, 267, 799, 568, 519, 476, 279, 628, 7160, 269, 17677, 2230, 1142, 1899, 269, 12989, 616, 3044, 12043, 543, 1806, 585, 2596, 12190, 4919, 1344, 5227, 676, 519, 1977, 16723, 5948, 14905, 563, 21607, 538, 4009, 23049, 1496, 9948, 1271, 1344, 596, 723, 3773, 602, 568, 711, 1336, 538, 519, 2707, 11855, 269, 1677, 13712, 513, 2707, 267, 3274, 2322, 519, 2278, 781, 2012, 543, 519, 4266, 540, 519, 8313, 538, 24324, 8191, 267, 4266, 538, 707, 1257, 269, 2422, 540, 713, 3135, 13054, 10343, 540, 938, 2474, 543, 2175, 540, 4023, 946, 563, 20278, 513, 1974, 1310, 519, 14656, 2385, 4185, 269, 589, 9255, 538, 519, 6129, 269, 901, 1570, 949, 711, 581, 3370, 267, 25735, 267, 13739, 267, 17370, 9287, 267, 610, 23799, 30744, 1510, 10479, 269, 1473, 550, 476, 276, 5624, 610, 3368, 606, 10759, 585, 519, 2034, 543, 7766, 3515, 540, 11239, 563, 4002, 513, 960, 11855, 2985, 538, 17090, 267, 621, 1131, 581, 10268, 607, 281, 2334, 568, 1946, 1142, 2707, 596, 946, 1590, 581, 7396, 538, 513, 2143, 15853, 609, 2614, 1344, 585, 2576, 547, 979, 543, 1265, 621, 676, 2933, 563, 1103, 7672, 568, 513, 2707, 9003, 2854, 676, 835, 540, 519, 1071, 2246, 4243, 3627, 808, 800, 543, 513, 2707, 676, 3627, 808, 800, 609, 513, 1114, 1071, 10461, 267, 589, 854, 631, 976, 523, 563, 2005, 568, 1271, 547, 1118, 946, 540, 1699, 2959, 543, 547, 5693, 1174, 875, 547, 13712, 1142, 4704, 1031, 269, 7402, 21840, 13129, 7732, 269, 1280, 1022, 824, 946, 267, 5225, 3346, 3163, 6844, 625, 269, 1879, 19696, 513, 4214, 689, 513, 8675, 267, 1039, 519, 28008, 4347, 563, 3891, 731, 1022, 1434, 2835, 25015, 269, 8437, 1934, 585, 606, 17090, 1568, 11855, 3391, 676, 634, 2160, 540, 3840, 267, 799, 3568, 1344, 827, 1785, 1005, 1312, 2010, 540, 8100, 538, 17856, 543, 2407, 8100, 269, 1403, 972, 616, 476, 275, 610, 1447, 5022, 538, 519, 3923, 267, 552, 269, 8191, 4408, 616, 2854, 2063, 2012, 1101, 282, 1647, 4408, 610, 1647, 3355, 338, 1246, 519, 1101, 2012, 281, 8074, 849, 602, 972, 568, 1100, 1974, 1310, 519, 3923, 563, 2252, 513, 1974, 673, 2882, 513, 4320, 1297, 267, 24495, 545, 1125, 621, 543, 1287, 2285, 519, 2985, 2039, 538, 2834, 1826, 1510, 834, 653, 269, 1411, 666, 946, 519, 31639, 8018, 547, 948, 596, 267, 1175, 1820, 856, 513, 1906, 12215, 543, 1491, 873, 609, 596, 547, 519, 5399, 563, 30952, 713, 1592, 540, 2959, 786, 1831, 707, 15853, 269, 4107, 3610, 1616, 596, 547, 723, 693, 2547, 1614, 2854, 2959, 540, 1344, 563, 2237, 1524, 267, 2584, 665, 4878, 267, 610, 269, 4924, 476, 1724, 267, 5788, 1215, 547, 3503, 513, 31639, 269, 769, 713, 9137, 281, 9137, 12834, 12726, 24157, 13132, 5675, 606, 14905, 31639, 5675, 513, 17090, 31639, 5675, 513, 595, 5960, 31639, 7991, 1627, 26031, 269, 1879, 596, 2328, 513, 1957, 610, 513, 1433, 267, 621, 781, 1271, 547, 1331, 513, 15853, 269, 589, 15853, 6645, 707, 5467, 1018, 2959, 596, 4312, 1031, 260, 263, 2767, 1916, 1103, 17856, 14327, 10332, 3988, 547, 11855, 1570, 543, 2995, 873, 4010, 1141, 547, 979, 543, 1413, 269, 1452, 14327, 960, 538, 14966, 609, 513, 15853, 563, 29995, 267, 606, 538, 17856, 11239, 568, 513, 4999, 540, 513, 2012, 630, 17141, 519, 2278, 779, 264, 543, 513, 1297, 630, 32355, 513, 1032, 267, 513, 2985, 1297, 267, 610, 1312, 1040, 13536, 713, 1592, 540, 2959, 786, 1831, 707, 15853, 269, 4107, 3610, 1616, 596, 547, 723, 693, 2547, 1614, 2854, 2959, 540, 1344, 563, 2237, 1524, 267, 2584, 665, 4878, 267, 610, 1820, 519, 1739, 1344, 585, 1142, 2707, 596, 1265, 269, 623, 17803, 715, 9331, 21612, 22829, 264, 5675, 513, 31639, 538, 17090, 13910, 282, 18040, 2969, 4959, 589, 19739, 13993, 296, 24209, 888, 288, 15853, 267, 28069, 27235, 5219, 547, 607, 513, 3718, 24764, 1592, 267, 568, 513, 28094, 540, 1169, 2707, 602, 729, 8246, 630, 31347, 26518, 538, 519, 1957, 610, 711, 264, 1247, 15388, 1570, 585, 513, 1957, 563, 23777, 1227, 267, 513, 15853, 786, 1331, 281, 634, 2347, 2012, 540, 519, 269, 5675, 513, 15853, 568, 2653, 676, 1739, 519, 3898, 13890, 538, 713, 2376, 269, 6258, 875, 547, 5265, 13712, 1114, 2200, 538, 519, 15853, 540, 513, 1382, 1957, 267, 543, 875, 547, 3898, 1346, 14327, 267, 585, 2835, 267, 679, 9871, 2664, 553, 267, 8874, 267, 7270, 267, 543, 1004, 563, 11133, 2730, 1806, 543, 3137, 585, 782, 2707, 2010, 32289, 547, 2328, 513, 15853, 609, 2985, 2338, 0, 17582, 19298, 1280, 18014, 1315, 5988, 476, 1839, 267, 476, 1708, 272, 1315, 18498, 5984, 9995, 619, 563, 14503, 1662, 6486, 960, 538, 513, 6073, 602, 10453, 1131, 6157, 1745, 899, 789, 616, 4730, 513, 3014, 543, 849, 711, 6313, 538, 782, 269, 898, 568, 606, 11791, 1505, 547, 3653, 942, 1247, 4466, 856, 2241, 8239, 543, 849, 5053, 6863, 1510, 513, 17570, 20193, 568, 849, 606, 5140, 19583, 547, 695, 28984, 519, 6486, 1142, 942, 596, 2490, 873, 936, 269, 19227, 596, 949, 2253, 547, 1265, 856, 519, 2262, 3126, 607, 10353, 547, 519, 4890, 16627, 269, 1635, 1818, 5053, 18044, 11568, 676, 3257, 713, 267, 596, 11129, 547, 723, 519, 2702, 547, 1451, 13977, 547, 17288, 6486, 513, 1554, 952, 596, 1246, 713, 5796, 563, 7197, 28082, 24762, 763, 2601, 1946, 5053, 15460, 616, 1500, 946, 540, 865, 6707, 568, 1317, 789, 616, 513, 11791, 543, 849, 2731, 3551, 1505, 547, 3314, 6863, 543, 2596, 8239, 607, 1134, 607, 616, 8449, 2500, 538, 4543, 1312, 3214, 543, 6738, 5725, 7567, 20193, 814, 2965, 1044, 5941, 602, 15460, 666, 581, 1031, 585, 1312, 6738, 5725, 607, 1134, 607, 19920, 789, 723, 2965, 5097, 1044, 1500, 946, 540, 585, 3450, 3214, 269, 8866, 7363, 1265, 621, 513, 2603, 4443, 547, 12314, 2592, 609, 1913, 543, 713, 568, 1946, 513, 1297, 540, 519, 15460, 596, 786, 1995, 786, 4183, 2262, 4143, 6337, 267, 713, 849, 11226, 538, 21927, 19920, 1317, 789, 786, 6157, 581, 1256, 811, 18906, 633, 585, 1454, 3476, 543, 849, 786, 4061, 10536, 513, 2603, 1732, 5413, 563, 303, 1112, 999, 1656, 16103, 20155, 540, 5131, 15026, 18014, 15350, 10632, 30475, 16443, 545, 3069, 6656, 14259, 1424, 5961, 585, 9656, 330, 573, 1535, 2643, 25869, 6656, 1660, 1112, 22351, 2238, 26078, 1041, 16968, 572, 6470, 18551, 3211, 325, 21209, 12805, 4976, 4134, 2284, 27959, 524, 785, 699, 12848, 7801, 3817, 276, 2370, 6802, 9469, 6648, 531, 8224, 1820, 8083, 585, 23021, 454, 2791, 631, 697, 9827, 6145, 454, 32306, 2659, 31400, 593, 5131, 15026, 18014, 15350, 10632, 454, 305, 12442, 24199, 5131, 15026, 18014, 15350, 10632, 10403, 15026, 18014, 15350, 10632, 723, 12773, 815, 476, 5952, 856, 540, 476, 1911, 1759, 593, 476, 6924, 272, 3593, 16863, 0, 763, 27428, 540, 519, 1715, 4789, 10125, 1185, 606, 7357, 1114, 5692, 689, 519, 11918, 652, 1144, 13896, 269, 22518, 10456, 538, 4789, 543, 519, 2136, 2276, 267, 476, 1960, 276, 269, 1306, 519, 8830, 30808, 1305, 827, 552, 6362, 856, 741, 6668, 538, 12590, 538, 519, 2038, 476, 8182, 271, 338, 267, 789, 6923, 1185, 547, 20630, 930, 2101, 2042, 281, 5883, 547, 3489, 1426, 267, 8165, 741, 14763, 585, 2244, 543, 267, 540, 1576, 267, 2870, 513, 8830, 11939, 10571, 3009, 269, 634, 1715, 4789, 10125, 540, 12590, 267, 21086, 267, 1715, 24900, 267, 543, 29049, 6816, 941, 8547, 607, 513, 851, 2588, 26508, 4603, 543, 851, 5010, 14679, 269, 476, 8182, 271, 268, 11260, 275, 281, 17151, 18887, 267, 4317, 12367, 267, 543, 22960, 281, 11137, 6196, 2622, 31654, 1682, 269, 634, 1101, 1715, 4789, 619, 3710, 10034, 540, 17401, 7265, 1229, 8075, 543, 1507, 10651, 269, 634, 8301, 267, 12383, 267, 6337, 267, 543, 7044, 616, 20295, 9944, 519, 2923, 10697, 267, 4849, 585, 30572, 2592, 267, 799, 3622, 3095, 547, 1776, 2985, 602, 3568, 519, 2923, 5491, 269, 3864, 21152, 3357, 547, 3013, 609, 10054, 827, 1018, 27648, 513, 1434, 2777, 267, 1920, 267, 3484, 267, 2146, 267, 1426, 267, 543, 9913, 269, 1715, 10425, 941, 5189, 267, 10217, 267, 7401, 543, 6995, 269, 1635, 476, 14341, 271, 267, 519, 5452, 585, 513, 1007, 2486, 267, 3833, 1114, 689, 519, 835, 2907, 3964, 693, 11918, 652, 1144, 267, 941, 12630, 7184, 1369, 519, 20339, 540, 513, 1906, 12703, 23806, 269, 1715, 4789, 568, 519, 9510, 5693, 3989, 3148, 540, 519, 2136, 2276, 267, 543, 621, 2392, 919, 519, 1977, 7169, 676, 811, 982, 476, 5611, 1296, 269, 1809, 1715, 4789, 31188, 2103, 4166, 1336, 2933, 10990, 532, 609, 835, 1776, 269, 31849, 540, 4025, 2446, 602, 10707, 547, 1715, 4789, 729, 865, 7199, 602, 1082, 1004, 2968, 25034, 3293, 22063, 547, 1205, 2066, 267, 855, 594, 7948, 1405, 1265, 513, 1747, 602, 2965, 3081, 875, 7199, 621, 729, 269, 1879, 8361, 24163, 13264, 609, 519, 7826, 5783, 540, 7507, 267, 5289, 1272, 538, 4789, 729, 5828, 593, 922, 1274, 269, 717, 2088, 645, 3073, 807, 267, 2817, 22127, 5980, 772, 2793, 7473, 295, 3036, 22003, 3633, 29187, 308, 13993, 2975, 9569, 4959, 589, 30505, 312, 305, 20846, 17886, 5357, 9569, 32098, 26402, 18983, 3827, 269, 1715, 4789, 16865, 12387, 13293, 267, 2560, 14645, 9736, 1220, 279, 268, 1708, 271, 721, 20931, 3820, 267, 11262, 676, 519, 14412, 8065, 5948, 538, 15740, 267, 8547, 476, 3707, 273, 269, 3690, 520, 23007, 7179, 9177, 1656, 634, 22547, 2986, 1715, 4789, 9085, 476, 14341, 271, 268, 14321, 271, 6736, 519, 9645, 3007, 13991, 547, 519, 15713, 540, 1625, 11939, 10125, 538, 1715, 4789, 267, 5640, 723, 22991, 31680, 1896, 9102, 8778, 338, 602, 4766, 713, 12558, 540, 1686, 607, 1568, 540, 1715, 4789, 3332, 269, 1715, 4789, 781, 9998, 10125, 941, 8105, 2950, 602, 941, 1419, 4092, 2059, 15417, 5757, 2244, 610, 10068, 14252, 4092, 2282, 519, 5836, 269, 17652, 267, 2296, 8830, 30808, 1336, 741, 1259, 547, 922, 24528, 267, 2324, 2509, 519, 2804, 1967, 540, 741, 2950, 267, 7064, 547, 741, 2067, 2631, 540, 2872, 543, 771, 514, 743, 1588, 585, 17195, 269, 9282, 519, 1034, 1271, 3804, 540, 2038, 1715, 4789 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2185, 1007, 2798, 602, 616, 1142, 1226, 573, 9665, 689, 519, 2016, 2798, 780, 32575, 2798, 602, 960, 780, 2710, 596, 1294, 519, 4806, 286, 1411, 3893, 621, 22924, 781, 513, 7299, 1899, 602, 4422, 998, 519, 30268, 540, 519, 10126, 602, 13462, 519, 1079, 2016, 2798, 269, 769, 824, 1913, 267, 621, 781, 602, 10126, 781, 13902, 20312, 10725, 780, 273, 269, 6733, 3544, 519, 4806, 269, 1411, 2097, 909, 8900, 538, 5153, 476, 273, 269, 6744, 1022, 1448, 711, 593, 519, 13902, 20312, 10725, 540, 1899, 9474, 267, 543, 596, 1294, 602, 621, 781, 711, 1226, 573, 9665, 689, 589, 543, 645, 269, 4935, 267, 596, 723, 1100, 2798, 547, 1039, 563, 274, 269, 6733, 3330, 519, 4806, 269, 23875, 29810, 1934, 267, 2901, 269, 5272, 1448, 593, 519, 13902, 20312, 10725, 540, 1899, 9474, 568, 267, 538, 1249, 267, 1226, 573, 9665, 689, 589, 543, 645, 269, 4935, 267, 1100, 2798, 1058, 581, 16934, 269, 630, 23219, 940, 281, 5213, 1405, 1450, 3054, 547, 1205, 513, 3787, 27823, 543, 18178, 17778, 476, 273, 543, 476, 274, 26695, 275, 269, 8571, 519, 30580, 543, 4766, 621, 538, 1913, 269, 901, 4137, 2982, 519, 30580, 267, 543, 519, 1309, 1632, 3947, 922, 6609, 563, 763, 30580, 540, 2798, 1226, 573, 9665, 689, 1079, 2016, 2798, 568, 519, 13902, 20312, 10725, 540, 519, 10126, 602, 26082, 519, 1079, 2798, 269, 0, 258, 14216, 29719, 540, 524, 2675, 1535, 692, 1692, 547, 1265, 519, 12045, 540, 519, 2016, 1599, 676, 1210, 519, 12045, 540, 524, 2675, 1535, 281, 4542, 267, 476, 272, 1383, 267, 543, 922, 3070, 780, 1012, 16754, 692, 2162, 16754, 692, 763, 12045, 540, 524, 2675, 1535, 267, 1496, 322, 2675, 1535, 316, 22779, 529, 910, 322, 2675, 1535, 28422, 1535, 780, 1012, 7151, 692, 2162, 8827, 692, 344, 815, 524, 2675, 630, 272, 910, 1535, 273, 264, 568, 513, 12432, 1599, 540, 454, 344, 815, 524, 2675, 630, 3369, 1961, 264, 543, 630, 3369, 1961, 264, 815, 476, 272, 910, 1535, 273, 780, 3383, 519, 12045, 540, 519, 12432, 1599, 568, 2676, 1492, 12045, 540, 519, 9018, 1599, 524, 2675, 630, 272, 910, 1535, 273, 1070, 910, 322, 2675, 630, 272, 910, 1535, 273, 264, 28422, 630, 272, 910, 1535, 273, 994, 9392, 2676, 1492, 12045, 540, 519, 6418, 1599, 476, 272, 910, 1535, 273, 267, 910, 273, 343, 272, 780, 268, 8987, 273, 343, 272, 264, 815, 476, 273, 343, 692, 3383, 519, 1318, 2427, 568, 476, 273, 343, 524, 2675, 630, 272, 910, 1535, 273, 264, 28422, 630, 272, 910, 1535, 273, 6393, 3383, 476, 273, 343, 524, 2675, 630, 272, 910, 1535, 273, 264, 28422, 630, 272, 910, 1535, 273, 264, 568, 519, 12045, 540, 524, 2675, 630, 272, 910, 1535, 273, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1379, 3287, 267, 562, 2187, 825, 1948, 7490, 1039, 707, 3009, 1934, 454, 825, 1780, 692, 258, 6301, 454, 5228, 19523, 1104, 1305, 516, 15479, 542, 3916, 527, 454, 3553, 516, 15479, 542, 3916, 527, 263, 8099, 876, 994, 343, 267, 562, 284, 4289, 17301, 9217, 264, 585, 1775, 538, 3403, 14061, 29328, 14061, 20889, 3488, 1412, 4917, 2745, 9638, 1077, 3287, 267, 562, 4917, 0, 258, 9046, 9517, 476, 476, 4510, 8585, 613, 23037, 454, 3698, 19467, 31374, 19906, 267, 1376, 267, 1439, 2187, 825, 2450, 284, 754, 3613, 691, 454, 825, 952, 2450, 27045, 272, 912, 1038, 2132, 454, 825, 4571, 815, 630, 11034, 266, 754, 264, 2260, 273, 454, 825, 19467, 31374, 19906, 267, 1376, 267, 4571, 994, 825, 19467, 31374, 19906, 267, 4571, 267, 1439, 2020, 825, 1948, 300, 10235, 5565, 590, 9285, 8638, 454, 825, 1267, 815, 1496, 271, 316, 2608, 2450, 454, 825, 1775, 284, 11034, 454, 825, 795, 284, 13232, 454, 825, 737, 284, 271, 454, 825, 1247, 9217, 283, 13232, 543, 795, 283, 754, 2187, 1038, 952, 19906, 5157, 316, 283, 1551, 14728, 316, 2187, 2018, 1267, 25208, 316, 815, 2855, 5157, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1267, 25208, 316, 815, 2855, 14728, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 795, 6834, 476, 272, 454, 825, 1247, 9217, 283, 13232, 2187, 2018, 1267, 25208, 316, 815, 2855, 5157, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 1775, 6834, 476, 272, 454, 825, 1247, 27203, 283, 754, 2187, 2018, 1267, 25208, 316, 815, 2855, 14728, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 795, 6834, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 21653, 2187, 1038, 2855, 314, 11034, 266, 328, 316, 815, 1267, 5157, 6540, 258, 6301, 454, 333, 25507, 9272, 15405, 1551, 284, 4289, 17301, 9217, 264, 585, 1775, 538, 3403, 14061, 29328, 14061, 20889, 3488, 1412, 4917, 1067, 613, 31374, 19906, 267, 476, 271, 267, 562, 994, 1721, 1003, 538, 2855, 912, 825, 1820, 16325, 267, 1439, 8782, 30386, 2745, 4590, 0, 258, 9046, 9517, 281, 476, 5379, 274, 454, 322, 815, 3403, 3890, 314, 271, 2639, 604, 18011, 320, 262, 27045, 524, 543, 524, 10922, 1412, 345, 262, 2187, 825, 856, 815, 476, 271, 454, 19197, 18011, 288, 262, 27045, 524, 543, 524, 10922, 1412, 313, 262, 2187, 825, 856, 815, 476, 272, 454, 12828, 912, 825, 856, 815, 910, 272, 454, 2745, 263, 719, 994, 0, 2745, 630, 18257, 1411, 4283, 513, 4158, 4055, 609, 1079, 9885, 563, 2710, 596, 979, 998, 7450, 1948, 272, 267, 7450, 1948, 273, 610, 7450, 1948, 274, 286, 5257, 17210, 21830, 815, 3403, 2891, 285, 834, 2020, 604, 7450, 2652, 834, 272, 13426, 825, 1820, 2891, 2467, 781, 513, 9649, 7703, 1934, 4189, 513, 10381, 14735, 23528, 825, 1820, 2891, 1432, 798, 596, 798, 286, 315, 333, 476, 272, 269, 6875, 519, 14735, 269, 1422, 333, 476, 273, 269, 21115, 600, 693, 519, 7703, 1701, 2020, 825, 7703, 815, 3403, 2891, 285, 834, 2020, 825, 952, 7703, 2652, 834, 272, 13426, 1038, 1820, 2891, 763, 7703, 22655, 707, 3068, 1055, 267, 1631, 596, 666, 1405, 1294, 32405, 825, 8640, 7703, 2652, 834, 273, 13426, 1038, 1820, 2891, 763, 7703, 22655, 707, 7953, 1055, 267, 1631, 596, 666, 1405, 3802, 32405, 825, 3116, 912, 1038, 1820, 2891, 11039, 267, 3257, 2715, 321, 792, 348, 568, 4440, 513, 1434, 3903, 267, 519, 7703, 1522, 3802, 2476, 1701, 2020, 19197, 7450, 2652, 834, 273, 13426, 825, 1820, 2891, 2791, 588, 732, 883, 519, 3845, 693, 519, 11995, 705, 903, 338, 1701, 264, 8931, 825, 1820, 9497, 17445, 569, 538, 4395, 540, 596, 972, 568, 513, 3349, 609, 1614, 26633, 23528, 825, 1820, 2891, 476, 272, 269, 3212, 2851, 5602, 825, 1820, 2891, 476, 273, 269, 623, 8986, 5602, 825, 1820, 2891, 476, 274, 269, 853, 3863, 11241, 5602, 825, 1820, 2891, 6904, 798, 596, 3442, 267, 476, 272, 267, 476, 273, 610, 476, 274, 286, 5602, 672, 692, 825, 1426, 815, 3403, 9497, 285, 834, 2020, 825, 952, 1426, 2652, 834, 272, 257, 610, 834, 273, 13426, 1038, 1820, 2891, 17764, 1100, 267, 623, 568, 585, 8914, 267, 596, 1376, 26390, 3215, 543, 13481, 269, 3502, 519, 1655, 3903, 547, 1118, 256, 19515, 825, 3116, 912, 1038, 1820, 2891, 14187, 3903, 267, 22229, 616, 2407, 540, 23554, 595, 543, 14434, 269, 1411, 1379, 909, 707, 1072, 4567, 10590, 2020, 12828, 281, 1948, 1607, 7173, 340, 12251, 569, 796, 333, 4310, 1267, 568, 1631, 538, 946, 267, 621, 568, 7450, 1948, 274, 454, 825, 1820, 9497, 2791, 7552, 593, 513, 17180, 606, 18417, 588, 629, 3054, 547, 2669, 10590, 9239, 0, 5814, 7793, 4428, 454, 3240, 560, 4428, 269, 20625, 4590, 2745, 30044, 560, 4428, 6745, 9734, 710, 2020, 5035, 3733, 560, 4428, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6745, 9734, 710, 815, 834, 4517, 1631, 513, 8536, 1296, 1063, 3010, 825, 1219, 11945, 4311, 2187, 1038, 1820, 2891, 296, 513, 1362, 344, 13212, 10590, 2020, 258, 13318, 656, 5573, 267, 2147, 547, 1289, 513, 1599, 855, 596, 2811, 10912, 513, 1362, 3079, 454, 2251, 815, 3733, 560, 4428, 4590, 2251, 269, 20625, 4590, 2745, 263, 2251, 6745, 9734, 710, 264, 0, 5228, 621, 1068, 8962, 1104, 1293, 1477, 5228, 15259, 1104, 2493, 1477, 5814, 21795, 607, 19073, 1477, 5814, 4729, 569, 8807, 2682, 318, 16371, 607, 535, 325, 21506, 5814, 4729, 569, 3052, 1429, 318, 15953, 338, 607, 979, 21506, 5814, 26417, 21506, 5814, 7194, 1477, 5814, 4351, 476, 5897, 4206, 815, 19073, 18667, 32269, 2891, 30700, 300, 10225, 27406, 14744, 11907, 815, 17093, 22373, 13043, 23962, 257, 4940, 339, 565, 626, 14052, 258, 14808, 815, 535, 325, 269, 22056, 5091, 626, 7120, 8443, 11907, 3910, 22373, 13043, 24143, 257, 3910, 1397, 318, 7290, 815, 16178, 3418, 258, 14808, 20481, 31476, 11743, 815, 7194, 32557, 16597, 3418, 560, 323, 318, 22563, 2747, 815, 7194, 14714, 22563, 16597, 3418, 2745, 9497, 13614, 2986, 15510, 2433, 14307, 1611, 3418, 2745, 2891, 24092, 8061, 2747, 540, 15510, 2433, 2580, 31901, 318, 22563, 2747, 10142, 3698, 4351, 27133, 15058, 318, 11743, 630, 322, 3300, 8029, 825, 10471, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 630, 271, 267, 4831, 8029, 1038, 4351, 16229, 815, 4351, 27110, 263, 271, 267, 7003, 16597, 9984, 272, 3418, 1038, 1871, 815, 1239, 1496, 12690, 16229, 15947, 1038, 10471, 6910, 263, 7407, 3418, 825, 1611, 815, 7194, 32557, 630, 323, 21648, 564, 3418, 825, 2132, 1611, 476, 5897, 11743, 8217, 815, 1496, 15947, 1721, 1775, 538, 2039, 630, 271, 267, 1911, 271, 8029, 825, 1305, 15058, 318, 11743, 815, 12690, 27133, 15058, 318, 11743, 263, 1911, 3418, 825, 1611, 8217, 6910, 263, 3553, 15058, 318, 11743, 3418, 258, 11743, 815, 7194, 32557, 263, 11743, 8217, 3418, 560, 323, 318, 22563, 2747, 815, 7194, 14714, 22563, 263, 11743, 8217, 3418, 2745, 9497, 13614, 2986, 12726, 17392, 2433, 14307, 1611, 3418, 2745, 2891, 24092, 8061, 2747, 540, 6341, 7204, 17392, 24333, 31901, 318, 22563, 2747, 10142, 14808, 815, 535, 325, 269, 22056, 5091, 626, 7120, 8443, 11743, 8217, 3910, 22373, 22923, 318, 300, 10225, 257, 3910, 19651, 318, 7290, 25716, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 2073, 1611, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 8442, 3418, 14808, 20481, 14052, 14140, 318, 20598, 318, 22563, 2747, 318, 11034, 267, 14140, 318, 20598, 318, 22563, 2747, 318, 754, 815, 1611, 910, 31901, 318, 22563, 2747, 2073, 1611, 1341, 31901, 318, 22563, 2747, 1477, 16149, 318, 20598, 318, 22563, 2747, 318, 11034, 267, 16149, 318, 20598, 318, 22563, 2747, 318, 754, 815, 1611, 910, 476, 273, 2608, 31901, 318, 22563, 2747, 2073, 1611, 1341, 476, 273, 2608, 31901, 318, 22563, 2747, 1477, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 11034, 267, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 754, 815, 1611, 910, 476, 274, 2608, 31901, 318, 22563, 2747, 2073, 1611, 1341, 476, 274, 2608, 31901, 318, 22563, 2747, 1477, 258, 4578, 476, 272, 21506, 4206, 284, 335, 323, 18667, 32269, 3488, 11907, 272, 27406, 20298, 11907, 284, 4206, 9131, 13043, 23962, 262, 4940, 339, 565, 626, 14052, 11743, 318, 4752, 5334, 2217, 318, 821, 284, 560, 520, 2524, 32557, 16597, 3418, 2745, 3488, 11743, 540, 3732, 476, 272, 3299, 11743, 318, 4752, 5334, 2217, 318, 821, 3418, 14808, 284, 742, 269, 22056, 5091, 626, 7120, 8443, 11743, 8217, 3910, 9131, 30700, 7436, 28710, 19651, 318, 7290, 25716, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 2073, 1611, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 318, 4752, 5334, 2217, 318, 821, 2073, 1611, 318, 4752, 5334, 2217, 318, 821, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 5508, 590, 21283, 4041, 21450, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 16149, 318, 20598, 318, 22563, 2747, 318, 754, 267, 2034, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 273, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 754, 267, 3791, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 274, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 14140, 318, 20598, 318, 22563, 2747, 318, 754, 267, 1101, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 272, 13673, 291, 8442, 3418, 14808, 20481, 630, 3418, 345, 23962, 318, 821, 815, 630, 11743, 910, 1611, 318, 4752, 5334, 2217, 318, 821, 8358, 560, 323, 318, 22563, 2747, 1477, 2745, 630, 345, 23962, 318, 821, 10142, 4206, 284, 335, 323, 18667, 32269, 3488, 11907, 273, 27406, 20298, 11907, 284, 4206, 9131, 13043, 23962, 262, 4940, 339, 565, 626, 14052, 11743, 318, 4752, 5334, 2217, 4671, 6851, 284, 560, 520, 2524, 32557, 16597, 3418, 2745, 3488, 11743, 540, 3732, 476, 273, 3299, 11743, 318, 4752, 5334, 2217, 4671, 6851, 3418, 14808, 284, 742, 269, 22056, 5091, 626, 7120, 8443, 11743, 8217, 3910, 9131, 30700, 7436, 28710, 19651, 318, 7290, 25716, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 2073, 1611, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 318, 4752, 5334, 2217, 4671, 6851, 2073, 1611, 318, 4752, 5334, 2217, 4671, 6851, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 5508, 590, 21283, 4041, 29375, 302, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 16149, 318, 20598, 318, 22563, 2747, 318, 754, 267, 2034, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 273, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 754, 267, 3791, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 274, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 14140, 318, 20598, 318, 22563, 2747, 318, 754, 267, 1101, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5149, 476, 272, 281, 4197, 7731, 18868, 543, 17716, 1879, 3213, 1790, 1861, 532, 609, 606, 1401, 945, 814, 5084, 291, 268, 4696, 8461, 692, 1103, 2221, 781, 1158, 267, 3885, 2097, 538, 782, 5546, 543, 7306, 267, 543, 1071, 1790, 1861, 532, 3347, 666, 581, 1950, 543, 4101, 269, 901, 6988, 568, 28659, 950, 835, 2385, 814, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 1070, 849, 1634, 607, 5084, 291, 950, 30759, 568, 711, 1459, 269, 1677, 6330, 891, 2591, 267, 621, 568, 1898, 547, 1174, 1920, 6384, 543, 3347, 1369, 519, 2796, 540, 713, 4524, 269, 769, 713, 1770, 267, 649, 786, 2263, 875, 11838, 5540, 1071, 1790, 1861, 532, 267, 2792, 2994, 267, 543, 2081, 547, 1489, 707, 1126, 781, 1134, 5630, 780, 4089, 589, 281, 4197, 11838, 543, 4706, 8177, 593, 3213, 1790, 1861, 532, 692, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 568, 513, 5778, 16467, 11365, 4524, 602, 5540, 1312, 1453, 543, 4079, 269, 898, 568, 6353, 676, 2589, 971, 607, 7411, 9878, 3007, 267, 791, 6160, 2032, 267, 543, 267, 538, 930, 2665, 267, 30759, 269, 2755, 6646, 543, 8965, 11257, 666, 948, 4383, 891, 2589, 267, 789, 949, 1869, 1764, 3232, 1272, 267, 1519, 1071, 1790, 1861, 532, 3347, 269, 2368, 1883, 3344, 547, 2015, 616, 1384, 272, 269, 12580, 540, 11838, 281, 28150, 5813, 883, 519, 1585, 2589, 540, 11838, 267, 741, 10335, 267, 543, 875, 789, 1522, 1860, 513, 1071, 1790, 1861, 532, 2078, 269, 1280, 1383, 267, 7340, 6888, 610, 771, 32360, 1223, 1291, 547, 21390, 827, 16516, 11564, 610, 3838, 9021, 563, 273, 269, 23369, 543, 9615, 281, 6258, 827, 519, 10368, 1184, 267, 1114, 2126, 3681, 267, 543, 741, 1761, 5222, 593, 1071, 1790, 1861, 532, 269, 5457, 602, 1169, 1268, 609, 11838, 2833, 621, 8335, 267, 865, 25191, 4485, 616, 2629, 780, 4089, 645, 281, 19484, 9442, 12694, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10666, 519, 2278, 12672, 773, 12275, 21884, 568, 513, 7548, 693, 519, 2160, 540, 3703, 12052, 630, 308, 6195, 264, 3427, 540, 16711, 609, 936, 476, 3374, 1296, 540, 1995, 538, 1312, 2565, 1416, 8808, 543, 8808, 2069, 538, 519, 5177, 543, 4516, 269, 1261, 568, 513, 10805, 12016, 543, 6585, 513, 12854, 538, 1344, 2257, 267, 543, 513, 1297, 540, 11285, 4791, 543, 3872, 20340, 269, 1261, 814, 30363, 1896, 2257, 543, 4791, 9499, 267, 11271, 538, 12995, 2835, 607, 1134, 607, 3875, 1382, 4574, 269, 3571, 960, 568, 20690, 2740, 676, 513, 6612, 585, 1072, 2257, 543, 2029, 267, 543, 646, 6585, 21621, 543, 3084, 17758, 585, 1010, 960, 538, 2417, 532, 12016, 2069, 269, 1261, 568, 606, 769, 13774, 1116, 29533, 540, 519, 8225, 29237, 3447, 1807, 4659, 267, 543, 2729, 538, 26551, 267, 3703, 12052, 269, 8791, 594, 25682, 568, 711, 1945, 596, 666, 4444, 3848, 476, 272, 634, 1148, 540, 519, 598, 769, 476, 9610, 275, 267, 3751, 8361, 10001, 540, 4789, 9896, 513, 1876, 1818, 621, 606, 1055, 775, 547, 1711, 4154, 543, 8988, 856, 540, 6094, 2011, 267, 1634, 607, 519, 2048, 8002, 18830, 18527, 9957, 22682, 267, 930, 2864, 9490, 1361, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 23206, 4347, 7228, 13081, 630, 4696, 291, 268, 4696, 8461, 264, 1315, 3213, 6261, 1861, 532, 609, 606, 1401, 950, 2290, 9977, 13201, 11838, 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, 0, 8080, 547, 938, 3408, 540, 2244, 5619, 532, 538, 519, 4070, 2872, 256, 901, 568, 606, 1898, 1900, 538, 1022, 2462, 2679, 1788, 267, 899, 2870, 1007, 3889, 693, 606, 19633, 269, 5620, 596, 2479, 2938, 1346, 1004, 1210, 16681, 2645, 547, 2268, 1919, 3544, 286, 2334, 781, 1018, 5619, 832, 798, 1107, 789, 1491, 7403, 543, 1711, 7851, 547, 948, 721, 1174, 519, 2244, 1732, 1354, 649, 1628, 1945, 593, 621, 269, 2913, 781, 4685, 883, 875, 713, 1568, 2439, 5331, 596, 1616, 547, 1628, 513, 3579, 1007, 19209, 538, 707, 18147, 269, 6969, 4358, 267, 596, 991, 547, 917, 1141, 3388, 4867, 568, 543, 875, 1454, 2230, 972, 568, 585, 707, 15813, 3937, 269, 1411, 1131, 946, 7893, 2645, 547, 1265, 856, 4010, 875, 1279, 543, 2647, 707, 13452, 568, 267, 543, 6148, 1256, 2721, 513, 2241, 4786, 547, 14650, 621, 782, 269, 8092, 5619, 832, 798, 1945, 2147, 950, 4058, 8273, 3785, 899, 29032, 2439, 2467, 616, 1114, 5686, 540, 682, 1162, 630, 528, 11650, 264, 1063, 3959, 5411, 543, 4557, 1218, 945, 1616, 547, 946, 741, 2244, 585, 1808, 5301, 269, 1280, 1383, 267, 4952, 2576, 6499, 547, 10519, 513, 4558, 12506, 693, 513, 32041, 269, 1358, 1522, 1129, 513, 10685, 25755, 267, 799, 814, 922, 1378, 1305, 540, 3652, 827, 9878, 10519, 267, 21338, 909, 519, 1747, 267, 543, 865, 593, 269, 2311, 606, 19633, 267, 972, 1223, 581, 1585, 682, 1162, 1932, 910, 835, 585, 14060, 267, 1776, 585, 18736, 6266, 267, 543, 2943, 1776, 585, 4213, 5665, 3330, 23525, 269, 8528, 3086, 1577, 781, 2911, 827, 8840, 1524, 891, 682, 2084, 6054, 269, 4634, 1498, 789, 949, 1413, 7294, 267, 1169, 25755, 3622, 3568, 519, 1482, 1883, 2694, 269, 4197, 891, 9238, 2337, 3025, 3238, 538, 1818, 3664, 827, 519, 3959, 269, 898, 781, 1175, 899, 6616, 930, 1455, 1913, 543, 8239, 3652, 2306, 2542, 543, 1603, 4443, 2439, 5575, 267, 513, 1434, 25755, 2115, 2312, 1344, 827, 519, 4087, 1373, 682, 1078, 1107, 1589, 540, 621, 899, 21458, 707, 19209, 1374, 4566, 609, 4408, 585, 1142, 1858, 269, 8921, 267, 519, 2924, 543, 9021, 540, 1312, 6105, 1590, 581, 6045, 5693, 269, 5994, 2348, 513, 1592, 540, 26050, 543, 12587, 2854, 1524, 585, 4687, 11645, 609, 707, 3659, 1247, 2324, 1927, 593, 519, 19209, 269, 7053, 267, 3877, 827, 8569, 267, 3259, 540, 942, 4988, 676, 519, 25755, 267, 543, 824, 1271, 2474, 2327, 3025, 17358, 519, 4308, 780, 3383, 3314, 267, 2436, 596, 2811, 8888, 513, 1187, 19209, 610, 3384, 513, 14297, 19633, 267, 2921, 519, 942, 547, 1451, 827, 2244, 5619, 532, 543, 682, 2084, 5849, 1967, 269, 1635, 12270, 891, 1950, 3584, 883, 4130, 4773, 267, 649, 666, 9787, 873, 811, 3362, 543, 4019, 938, 1702, 18390, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19350, 568, 519, 4608, 8091, 539, 3684, 22345, 1257, 540, 713, 3184, 267, 5497, 547, 1683, 938, 1378, 3406, 9817, 543, 5007, 9817, 609, 3810, 3638, 267, 3184, 3146, 30005, 894, 3406, 762, 1257, 540, 1142, 1433, 269, 5221, 621, 568, 6167, 290, 3036, 3918, 6311, 3633, 1570, 267, 5225, 2015, 519, 1739, 1257, 607, 513, 3730, 855, 13385, 21285, 585, 519, 22265, 1433, 3817, 563, 1015, 2755, 513, 25755, 568, 1419, 2808, 513, 1950, 543, 18447, 3561, 676, 519, 3656, 543, 1483, 10040, 683, 4451, 974, 267, 621, 666, 581, 3362, 6956, 543, 2007, 6479, 952, 519, 1367, 3334, 602, 17663, 519, 2898, 616, 7745, 1524, 543, 8947, 538, 1469, 269, 5272, 25755, 267, 7488, 540, 1826, 267, 568, 16922, 540, 1089, 523, 268, 512, 6053, 519, 1482, 4295, 2609, 282, 1620, 519, 1367, 3334, 540, 513, 25755, 786, 1683, 519, 2556, 2679, 7161, 2877, 547, 4020, 543, 14892, 513, 3811, 19633, 25755, 6876, 269, 634, 1101, 3296, 786, 2232, 519, 2596, 2010, 540, 682, 1162, 693, 606, 19633, 543, 519, 4295, 2609, 3769, 538, 1142, 269, 634, 1826, 540, 19633, 25755, 10858, 547, 1142, 6876, 786, 642, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27455, 11752, 532, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 14716, 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, 0, 3848, 476, 277, 281, 4457, 1401, 1636, 654, 732, 1107, 589, 26812, 3215, 28249, 540, 3203, 267, 25642, 267, 543, 24547, 558, 2329, 692, 296, 269, 4985, 692, 2026, 596, 1224, 4505, 538, 938, 1837, 781, 4367, 547, 1884, 2294, 543, 2445, 17156, 267, 28028, 543, 19580, 3180, 513, 2027, 1747, 1851, 28048, 19216, 1813, 547, 741, 3140, 4644, 267, 10347, 23477, 267, 543, 11972, 5898, 269, 769, 713, 3184, 267, 649, 5490, 883, 513, 1880, 1826, 540, 19580, 1634, 607, 4457, 13143, 16292, 267, 799, 3091, 721, 10578, 4030, 883, 519, 1950, 2078, 1063, 1079, 3504, 12977, 910, 3127, 543, 3624, 269, 1635, 3695, 519, 8129, 267, 1646, 267, 1374, 2609, 267, 4123, 6384, 267, 543, 2686, 1764, 540, 4457, 13143, 16292, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 891, 27610, 13742, 1247, 849, 17766, 1769, 593, 875, 789, 4196, 607, 6698, 540, 1312, 9322, 543, 27754, 2429, 1686, 780, 2862, 269, 17959, 543, 4886, 540, 4457, 1401, 1636, 654, 732, 692, 288, 269, 634, 17510, 540, 4457, 28769, 24394, 454, 763, 11944, 540, 4457, 28028, 7389, 1394, 547, 519, 8109, 12390, 19092, 630, 1839, 1700, 13136, 9460, 1070, 4352, 621, 7012, 1405, 2394, 519, 19358, 19092, 630, 277, 1240, 1700, 3445, 278, 9460, 264, 602, 2504, 6603, 1713, 2157, 269, 901, 2038, 28028, 267, 6353, 676, 922, 5386, 3043, 1560, 543, 4837, 344, 1350, 10270, 267, 3533, 6591, 8560, 1369, 3624, 543, 13383, 269, 1306, 3747, 8057, 267, 865, 1705, 5647, 282, 1007, 2553, 899, 896, 6921, 10270, 7206, 4847, 5159, 547, 1711, 5051, 14969, 6272, 780, 289, 269, 7216, 11780, 13705, 525, 454, 3528, 519, 3735, 19358, 19092, 267, 17535, 11507, 4448, 3624, 547, 14913, 5607, 267, 5101, 4000, 267, 543, 519, 5664, 5101, 267, 14123, 519, 3262, 540, 4457, 5370, 2066, 17407, 269, 6259, 18318, 5129, 513, 2629, 1909, 538, 10962, 4457, 23907, 547, 6990, 2059, 519, 11335, 23795, 267, 26354, 1719, 1851, 3864, 6800, 945, 14952, 539, 693, 741, 2298, 543, 25894, 780, 290, 269, 19372, 618, 540, 4457, 1401, 1636, 654, 732, 13870, 454, 7628, 519, 962, 10224, 630, 14096, 272, 1700, 15793, 279, 264, 543, 30721, 630, 15793, 279, 1700, 13932, 275, 264, 30552, 770, 625, 267, 4457, 1494, 1562, 3459, 6721, 4773, 4481, 3358, 547, 5375, 16919, 269, 1452, 3649, 637, 12286, 3982, 5546, 267, 16560, 18305, 267, 543, 2681, 5493, 22863, 602, 524, 23926, 547, 4914, 18046, 267, 7551, 9591, 1018, 1131, 1831, 1634, 607, 4457, 13143, 16292, 269, 808, 532, 1372, 345, 1156, 267, 513, 2749, 12021, 585, 922, 28028, 5663, 2094, 519, 14576, 19092, 630, 31634, 1700, 14096, 280, 1070, 7153, 607, 519, 12473, 10938, 540, 713, 24567, 2872, 780, 7656, 269, 5071, 15689, 543, 29526, 692, 288, 269, 22553, 543, 25609, 454, 2414, 9029, 547, 3486, 7218, 267, 4457, 29048, 2813, 2189, 3029, 971, 607, 2545, 13831, 642, 1162, 267, 8286, 609, 1164, 8520, 20362, 267, 543, 512, 1794, 5633, 6763, 269, 1452, 6272, 1419, 10630, 7506, 689, 9099, 267, 14655, 267, 543, 3864, 17375, 5389, 780, 289, 269, 5463, 20753, 7763, 604, 338, 454, 28082, 4798, 1336, 593, 4457, 13143, 16292, 3769, 27536, 3270, 267, 8916, 267, 29631, 7068, 267, 543, 10207, 6273, 676, 3232, 1272, 269, 2368, 18305, 4371, 1808, 10096, 282, 585, 3236, 267, 22645, 3090, 1242, 1379, 543, 513, 22273, 5534, 1145, 267, 1247, 890, 23888, 6719, 5763, 543, 8956, 780, 290, 269, 7822, 6022, 22863, 454, 15900, 4457, 13143, 16292, 5097, 7604, 1078, 524, 28240, 4544, 896, 6921, 10270, 23732, 1996, 513, 5144, 344, 22554, 4282, 267, 10452, 519, 13283, 585, 4544, 7146, 22554, 23907, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 4718, 513, 804, 1144, 7555, 593, 1010, 2212, 269, 17451, 568, 849, 1031, 609, 4986, 267, 18864, 585, 1919, 602, 10093, 1405, 5949, 1354, 269, 589, 5731, 558, 1400, 8231, 568, 513, 8231, 799, 814, 513, 16846, 633, 15749, 267, 602, 568, 267, 513, 15749, 13288, 1394, 547, 922, 1641, 269, 898, 4255, 1018, 596, 4121, 593, 519, 10558, 17828, 23120, 2985, 269, 1215, 547, 946, 621, 269, 1703, 616, 1079, 3096, 540, 519, 3943, 1459, 32096, 607, 606, 18781, 610, 607, 513, 8231, 269, 25166, 1679, 519, 5220, 609, 32096, 21291, 269, 7392, 538, 519, 1459, 32096, 269, 4746, 6423, 281, 3487, 545, 2118, 1849, 13415, 16497, 7300, 19405, 540, 519, 11644, 2296, 18049, 20113, 269, 1284, 2356, 946, 519, 1459, 32096, 630, 2056, 538, 910, 532, 264, 547, 2911, 827, 519, 1268, 267, 3364, 267, 610, 3510, 799, 814, 3361, 519, 4743, 281, 3487, 545, 2118, 1520, 16633, 11644, 476, 272, 630, 22372, 593, 519, 1592, 2630, 264, 3487, 545, 2118, 1520, 16633, 11644, 476, 273, 630, 22372, 593, 519, 1592, 2630, 264, 5903, 540, 1455, 910, 539, 543, 910, 532, 21371, 269, 2274, 1300, 6559, 929, 338, 550, 630, 1492, 1459, 32096, 264, 568, 519, 8231, 1106, 602, 7475, 538, 910, 656, 282, 621, 568, 606, 791, 5966, 1106, 267, 865, 3112, 581, 17788, 730, 269, 3487, 545, 2118, 25481, 538, 5220, 910, 4804, 2296, 6732, 910, 11644, 269, 10558, 3501, 2833, 269, 2422, 723, 610, 814, 543, 519, 3791, 1106, 630, 1492, 2250, 32096, 264, 540, 519, 8231, 907, 1284, 4312, 678, 5200, 513, 7504, 269, 8074, 602, 513, 1459, 32096, 666, 3277, 547, 519, 1459, 267, 2250, 610, 2104, 269, 1284, 666, 946, 519, 1459, 3501, 547, 2911, 827, 2833, 538, 938, 2729, 269, 476, 25172, 280, 269, 594, 946, 519, 540, 519, 8231, 547, 1106, 519, 11822, 10558, 269, 3436, 5620, 596, 2479, 1558, 513, 4583, 1268, 15017, 27879, 633, 20429, 281, 10558, 269, 3803, 27901, 1310, 513, 2110, 14129, 20262, 568, 23060, 634, 1126, 2893, 693, 519, 11380, 630, 335, 5593, 264, 513, 4605, 269, 9894, 596, 723, 2938, 1864, 1354, 286, 4894, 519, 2582, 552, 693, 519, 1439, 540, 519, 2262, 1354, 4946, 3824, 630, 338, 527, 264, 538, 519, 12094, 267, 649, 17696, 14735, 543, 1743, 1678, 6995, 269, 3487, 545, 328, 1255, 616, 8231, 3029, 602, 1599, 607, 21371, 267, 17205, 610, 607, 851, 540, 513, 7623, 8231, 512, 5151, 269, 2467, 616, 1614, 5686, 540, 1300, 328, 1255, 538, 2296, 8239, 281, 1459, 32096, 610, 910, 532, 1106, 267, 2250, 32096, 543, 3501, 32096, 269, 2171, 666, 946, 1300, 328, 1255, 547, 1106, 32096, 21291, 799, 2110, 523, 1950, 5220, 907, 1280, 1383, 267, 594, 993, 4189, 519, 7594, 269, 1452, 13450, 616, 3362, 6444, 676, 519, 15749, 694, 1354, 519, 31208, 1438, 281, 694, 11573, 267, 694, 3288, 591, 267, 694, 1596, 10273, 267, 3092, 269, 4329, 3137, 11341, 547, 519, 10558, 32096, 634, 1739, 3137, 616, 1644, 547, 519, 1888, 2422, 543, 5250, 540, 519, 1459, 32096, 630, 532, 27322, 264, 543, 949, 849, 581, 5363, 281, 2422, 543, 5250, 540, 519, 2250, 32096, 282, 3487, 545, 2118, 21291, 282, 11644, 476, 272, 281, 10259, 1459, 32096, 282, 11644, 476, 272, 281, 946, 1459, 6024, 2475, 3633, 23166, 5990, 11553, 2464, 7728, 25783, 293, 17614, 281, 17451, 1797, 1412, 693, 1022, 942, 22207, 519, 1808, 942, 568, 7164, 610, 11991, 267, 543, 568, 1031, 538, 2055, 269, 5999, 609, 3955, 5766, 894, 3487, 2873, 538, 10558, 17828, 11822, 282, 24908, 11644, 593, 10558, 17828, 11822, 282, 11644, 593, 519, 1257, 700, 5255, 715, 612, 7054, 10585, 7638, 2125, 282, 18873, 593, 10558, 17828, 269, 715, 14110, 2207, 269, 3738, 22142, 568, 8385, 513, 19432, 540, 1412, 711, 2479, 1412, 907, 10558, 6024, 13029, 20475, 519, 5571, 2962, 610, 4305, 540, 519, 1459, 269, 5637, 519, 1459, 32096, 543, 519, 2250, 32096, 666, 581, 1031, 607, 21371, 269, 1306, 6362, 2055, 568, 4443, 982, 16460, 873, 269, 20113, 269, 634, 12809, 5639, 1459, 568, 1419, 1031, 547, 4766, 281, 22948, 3689, 519, 13212, 616, 13603, 267, 1287, 789, 616, 19345, 267, 543, 6368, 789, 516, 14095, 543, 25855, 547, 519, 2344, 269, 9894, 596, 723, 2938, 1864, 1354, 286, 1039, 16592, 2987, 23059, 8239, 3635, 281, 1459, 3501, 2241, 5288, 269, 6024, 630, 274, 264, 29329, 8239, 3635, 281, 2250, 2241, 543, 1284, 946, 519, 2250, 32096, 540, 519, 8231, 2854, 568, 519, 2250, 32096, 267, 5206, 568, 519, 2250, 2241, 269, 1548, 568, 513, 32096, 286, 3487, 545, 2118, 1849, 13415, 11644, 269, 3525, 531, 7638, 2125, 540, 17438, 11644, 476, 272, 8437, 1934, 547, 4647, 713, 3635, 538, 7300, 630, 5976, 4267, 264, 5623, 519, 7778, 827, 1110, 1023, 540, 5506, 1934, 10925, 538, 1412, 332, 755, 1341, 31208, 1438, 262, 630, 1721, 1945, 602, 781, 2693, 827, 519, 1459, 264, 610, 1412, 332, 755, 1341, 723, 1341, 2250, 2986, 1576, 267, 972, 616, 1896, 17756, 547, 713, 4341, 269, 10558, 17828, 23120, 13658, 269, 476, 272, 269, 594, 946, 1705, 1341, 711, 1341, 31208, 1438, 540, 519, 8231, 798, 7933, 3996, 1341, 711, 1341, 31208, 1438, 540, 519, 8231, 723, 10774, 553, 1341, 711, 1341, 2250, 32096, 547, 1106, 519, 2942, 269, 5250, 769, 519, 1780, 9152, 267, 5731, 558, 1400, 13450, 616, 17788, 730, 609, 1726, 607, 741, 25581, 269, 6258, 827, 32096, 3029, 538, 2296, 8239, 1548, 2477, 723, 596, 10272, 27085, 476, 274, 269, 769, 713, 3635, 596, 786, 26821, 1210, 519, 2250, 2241, 543, 1459, 3501, 512, 5151, 269, 1039, 3824, 630, 3369, 16824, 264, 513, 5152, 267, 1352, 546, 2331, 998, 519, 2777, 609, 519, 544, 641, 269, 5999, 609, 3955, 5766, 894, 3487, 2873, 538, 10558, 17828, 11822, 282, 24908, 11644, 593, 10558, 17828, 11822, 282, 11644, 593, 519, 1257, 700, 5255, 715, 612, 7054, 10585, 7638, 2125, 282, 18873, 593, 10558, 17828, 563, 307, 2532, 3143, 269, 581, 1044, 1373, 513, 264, 581, 536, 264, 1044, 524, 264, 1373, 269, 1703, 616, 1079, 2010, 540, 1300, 328, 1255, 281, 1459, 32096, 543, 2250, 32096, 269, 476, 274, 563, 21607, 538, 519, 13450, 538, 23049, 607, 1300, 328, 1255, 1459, 32096, 610, 12601, 2207, 269, 1261, 814, 8297, 1441, 1010, 9641, 676, 7296, 269, 8672, 856, 519, 1459, 1300, 328, 1255, 543, 12908, 1495, 338, 538, 519, 1739, 5220, 269, 634, 1459, 32096, 1106, 2141, 7475, 538, 3824, 269, 2701, 18387, 1405, 13881, 521, 25775, 269, 476, 273, 269, 476, 273, 269, 769, 519, 1459, 267, 519, 12809, 5639, 3096, 519, 13450, 568, 543, 616, 1341, 2250, 32096, 540, 519, 1292, 8231, 269, 630, 14142, 264, 585, 1200, 17309, 267, 1352, 25653, 998, 519, 3003, 20758, 549, 2041, 269, 11644, 5528, 269, 634, 4116, 729, 24330, 676, 12253, 338, 960, 267, 865, 1352, 5795, 1864, 519, 5207, 6060, 269, 2422, 519, 1913, 538, 23049, 547, 2322, 1142, 540, 519, 1739, 883, 2901, 519, 2250, 2241, 610, 1459, 3501, 281, 1284, 946, 519, 2250, 32096, 540, 519, 8231, 2854, 568, 519, 2250, 32096, 267, 5206, 568, 519, 2250, 2241, 269, 4937, 4555, 267, 8369, 267, 543, 4978, 594, 4312, 1044, 547, 12868, 269, 1411, 666, 798, 713, 8239, 7688, 2228, 610, 1820, 621, 593, 1957, 269, 476, 272, 269, 476, 273, 269, 28686, 9293, 693, 519, 4090, 1175, 1631, 1318, 1631, 12856, 1315, 16754, 13595, 1341, 568, 270, 600, 270, 732, 1341, 10558, 32096, 11196, 532, 264, 1106, 13595, 630, 296, 264, 993, 10558, 32096, 8987, 532, 11924, 13595, 630, 3891, 24172, 270, 527, 264, 568, 10558, 32096, 8987, 532, 11924, 13595, 630, 2171, 270, 5445, 264, 6341, 2451, 1153, 2038, 1317, 646, 5433, 7210, 269, 11644, 269, 21718, 707, 7015, 543, 11078, 1044, 3478, 2059, 286, 898, 568, 849, 1572, 1459, 11636, 13029, 269, 1879, 268, 532, 3029, 616, 1031, 899, 17205, 267, 789, 616, 1572, 12908, 1495, 338, 269, 476, 272, 269, 3733, 7015, 814, 1558, 1010, 19463, 22256, 907, 1280, 2258, 2510, 267, 946, 711, 610, 2760, 907, 3367, 593, 547, 1451, 782, 827, 682, 1300, 6559, 929, 338, 550, 538, 3943, 8239, 543, 950, 547, 946, 621, 267, 1287, 1449, 3054, 538, 519, 5751, 269, 769, 519, 476, 274, 6113, 1268, 13737, 630, 515, 267, 1352, 267, 621, 264, 2073, 594, 1039, 547, 519, 540, 519, 8231, 543, 952, 519, 8231, 7475, 538, 513, 521, 756, 559, 656, 269, 4107, 13450, 723, 741, 2250, 32096, 1106, 10678, 538, 1196, 610, 679, 269, 630, 12441, 596, 2743, 513, 4583, 1268, 693, 1022, 942, 538, 519, 2250, 269, 898, 814, 21718, 6777, 532, 513, 2603, 713, 3018, 269, 0, 1432, 616, 21118, 16470, 3212, 696, 1938, 630, 295, 7894, 338, 21663, 611, 2381, 454, 295, 739, 8878, 30902, 630, 295, 7894, 338, 264, 616, 513, 1362, 540, 6923, 9648, 6675, 602, 616, 3812, 676, 519, 1560, 547, 948, 4339, 1055, 13596, 543, 824, 5739, 28164, 269, 1452, 30902, 723, 513, 1297, 540, 2189, 3601, 602, 1118, 873, 10694, 10457, 585, 946, 538, 519, 1646, 540, 1007, 5574, 585, 11763, 3676, 543, 824, 1072, 2175, 563, 3080, 540, 519, 1883, 3601, 540, 670, 7894, 338, 568, 741, 2702, 547, 1106, 16822, 760, 987, 545, 3889, 267, 799, 2636, 873, 547, 2170, 609, 519, 1591, 9245, 540, 13596, 538, 513, 1808, 543, 6098, 6073, 269, 901, 666, 1291, 547, 519, 5250, 540, 22405, 538, 519, 9245, 267, 799, 666, 7519, 519, 1599, 540, 519, 19800, 543, 6038, 1291, 547, 922, 2669, 269, 670, 7894, 338, 849, 723, 519, 2702, 547, 12622, 547, 543, 30737, 10675, 513, 2647, 2039, 540, 13596, 267, 1519, 4551, 267, 8290, 267, 543, 13271, 563, 5194, 1883, 3959, 540, 670, 7894, 338, 568, 741, 4187, 547, 12159, 676, 2926, 1162, 267, 11476, 602, 616, 1459, 538, 1082, 13596, 543, 666, 2736, 1524, 824, 2010, 540, 21734, 30902, 269, 901, 2306, 670, 7894, 338, 811, 7123, 543, 3476, 18835, 538, 519, 1560, 267, 799, 666, 948, 547, 2333, 741, 7145, 563, 2467, 814, 1044, 606, 2810, 1719, 538, 519, 946, 540, 670, 7894, 338, 607, 513, 4640, 585, 2870, 968, 745, 13949, 12046, 892, 547, 5563, 269, 901, 3322, 519, 946, 540, 670, 7894, 338, 547, 12954, 519, 4761, 1062, 543, 2087, 922, 2702, 547, 4431, 547, 513, 2647, 2039, 540, 13596, 269, 901, 666, 581, 2944, 676, 28720, 670, 7894, 338, 2047, 547, 519, 1560, 267, 610, 676, 4702, 873, 883, 824, 6675, 610, 2326, 547, 1711, 513, 968, 8243, 691, 892, 4761, 3210, 563, 2005, 568, 1271, 547, 4063, 602, 267, 1247, 670, 7894, 338, 1397, 9153, 538, 519, 8047, 267, 811, 1382, 568, 2877, 547, 3313, 741, 3106, 543, 12117, 538, 3425, 543, 547, 1020, 2409, 585, 741, 1804, 4336, 2504, 543, 7245, 563, 299, 4768, 626, 517, 595, 13702, 9116, 8633, 1107, 634, 968, 8248, 32644, 29831, 7536, 12041, 540, 2048, 8248, 696, 1938, 3657, 5020, 685, 0, 21995, 24205, 14330, 17988, 454, 21995, 24205, 14330, 304, 7300, 910, 11762, 454, 9596, 7169, 13038, 14893, 5999, 630, 30555, 1070, 7169, 7688, 4267, 7300, 547, 1353, 2596, 15257, 2228, 1576, 585, 2596, 15257, 5049, 269, 15154, 5081, 10999, 543, 15154, 3794, 984, 958, 13038, 14893, 5999, 543, 12226, 630, 10157, 17988, 1070, 7169, 7688, 2055, 585, 2228, 27498, 4110, 269, 834, 3725, 23728, 14330, 304, 257, 7300, 3883, 281, 26992, 1032, 540, 476, 1220, 271, 267, 1599, 267, 2486, 543, 2962, 267, 1200, 6975, 838, 27247, 6668, 540, 3514, 11687, 267, 689, 2367, 2090, 547, 14051, 543, 7013, 3069, 1449, 3341, 585, 1863, 2228, 2852, 6030, 563, 257, 6097, 547, 32544, 519, 27742, 543, 3661, 781, 5293, 689, 5108, 547, 5108, 568, 1572, 607, 257, 14330, 304, 7300, 281, 4838, 609, 5079, 2528, 267, 10571, 4806, 267, 2245, 267, 543, 5895, 331, 1436, 585, 2228, 27498, 4110, 269, 5530, 4838, 7688, 2055, 585, 20519, 14172, 1449, 543, 15149, 3292, 547, 1451, 2228, 15149, 6030, 563, 30555, 281, 4340, 547, 32544, 519, 27742, 543, 3661, 781, 5293, 689, 5108, 547, 5108, 568, 1572, 607, 454, 30555, 281, 4340, 547, 14100, 781, 519, 2093, 2523, 4978, 543, 2418, 723, 13321, 454, 30555, 281, 634, 1152, 1259, 856, 540, 519, 15972, 540, 16851, 267, 14100, 729, 22393, 547, 1201, 5831, 2486, 543, 552, 6549, 9107, 11327, 1062, 14100, 1572, 713, 1062, 607, 513, 0, 3674, 519, 13855, 606, 3662, 888, 1103, 1018, 1826, 540, 3662, 568, 513, 13855, 9286, 286, 2549, 874, 756 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 6942, 280, 4391, 269, 278, 4366, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7367, 815, 476, 6942, 280, 4343, 269, 6021, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7871, 815, 476, 6942, 280, 4343, 269, 29900, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7918, 815, 476, 6942, 280, 4343, 269, 8064, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4649, 815, 476, 6942, 280, 4375, 269, 1691, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6321, 815, 476, 6942, 280, 4375, 269, 4366, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6872, 815, 476, 6942, 280, 4375, 269, 279, 3607, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6812, 815, 476, 6942, 280, 2412, 269, 7277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6795, 815, 476, 6942, 280, 2412, 269, 276, 3953, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 277, 815, 476, 6942, 280, 2412, 269, 6434, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8618, 815, 476, 6942, 280, 6078, 269, 25248, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7830, 815, 476, 6942, 280, 6078, 269, 6872, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8287, 815, 476, 6942, 280, 6078, 269, 280, 2190, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 5038, 815, 476, 6942, 280, 5655, 269, 26604, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4792, 815, 476, 6942, 280, 5655, 269, 7830, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 5780, 815, 476, 6942, 280, 5655, 269, 280, 6924, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6858, 815, 476, 6942, 280, 6246, 269, 22332, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6924, 815, 476, 6942, 280, 6246, 269, 277, 5038, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7597, 815, 476, 6942, 280, 4510, 269, 23713, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 278, 815, 476, 6942, 280, 4510, 269, 3607, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10170, 815, 476, 6942, 280, 4510, 269, 3583, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7761, 815, 476, 6942, 280, 3393, 269, 4962, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10463, 815, 476, 6942, 280, 3393, 269, 29024, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10619, 815, 476, 6942, 280, 3393, 269, 4037, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4037, 815, 476, 6942, 280, 5379, 269, 272, 454, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10602, 815, 476, 6942, 280, 5379, 269, 275, 4366, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6507, 815, 476, 6942, 280, 5379, 269, 8064, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4281, 815, 476, 6942, 280, 5325, 269, 13893, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8064, 815, 476, 6942, 280, 5325, 269, 5392, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 279, 815, 476, 6942, 280, 5325, 269, 10019, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10037, 815, 476, 6942, 280, 4366, 269, 6642, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11025, 815, 476, 6942, 280, 4366, 269, 276, 3607, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10695, 815, 476, 6942, 280, 4366, 269, 6434, 275, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10019, 815, 476, 6942, 280, 5392, 269, 22446, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 5952, 815, 476, 6942, 280, 5392, 269, 6812, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10436, 815, 476, 6942, 280, 5392, 269, 280, 2764, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 9262, 815, 476, 6942, 31405, 269, 28510, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6434, 815, 476, 6942, 31405, 269, 277, 2190, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8660, 815, 476, 6942, 31405, 269, 280, 7761, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 280, 815, 476, 6942, 4817, 272, 269, 3953, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11011, 815, 476, 6942, 4817, 272, 269, 5780, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10844, 815, 476, 6942, 4817, 273, 269, 28318, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11152, 815, 476, 6942, 4817, 273, 269, 3607, 275, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11463, 815, 476, 6942, 4817, 273, 269, 278, 1321, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4817, 815, 476, 6942, 4817, 274, 269, 6187, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 9834, 815, 476, 6942, 4817, 274, 269, 2412, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 9032, 815, 476, 6942, 4817, 274, 269, 4037, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7176, 815, 476, 6942, 4817, 275, 269, 10441, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4200, 815, 476, 6942, 4817, 275, 269, 3393, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 272, 815, 476, 6942, 4817, 275, 269, 279, 454, 476, 272, 260, 540, 476, 25851, 271, 815, 476, 7918, 476, 273, 260, 540, 476, 25851, 271, 815, 476, 10482, 476, 274, 260, 540, 476, 25851, 271, 815, 476, 14341, 476, 275, 260, 540, 476, 25851, 271, 815, 476, 21327, 476, 276, 260, 540, 476, 25851, 271, 815, 476, 17734, 476, 277, 260, 540, 476, 25851, 271, 815, 476, 27844, 476, 278, 260, 540, 476, 25851, 271, 815, 476, 274, 4281, 476, 279, 260, 540, 476, 25851, 271, 815, 476, 28242, 476, 280, 260, 540, 476, 25851, 271, 815, 476, 4366, 277, 476, 1015, 260, 540, 476, 25851, 271, 815, 476, 25851, 476, 1556, 260, 540, 476, 25851, 271, 815, 476, 6795, 275, 476, 1321, 260, 540, 476, 25851, 271, 815, 476, 277, 4366, 476, 1724, 260, 540, 476, 25851, 271, 815, 476, 3583, 273, 476, 1691, 260, 540, 476, 25851, 271, 815, 476, 4037, 277, 476, 1428, 260, 540, 476, 25851, 271, 815, 476, 279, 1015, 476, 1626, 260, 540, 476, 25851, 271, 815, 476, 279, 5038, 476, 1704, 260, 540, 476, 25851, 271, 815, 476, 280, 1240, 476, 1240, 260, 540, 476, 25851, 271, 815, 476, 280, 7761, 476, 866, 260, 540, 476, 25851, 271, 815, 476, 9083, 277, 476, 736, 260, 540, 476, 25851, 271, 815, 476, 10482, 271, 476, 2641, 260, 540, 476, 25851, 271, 815, 476, 13647, 275, 476, 2420, 260, 540, 476, 25851, 271, 815, 476, 14093, 279, 476, 2537, 260, 540, 476, 25851, 271, 815, 476, 14862, 273, 476, 2190, 260, 540, 476, 25851, 271, 815, 476, 15782, 277, 476, 1839, 260, 540, 476, 25851, 271, 815, 476, 13670, 271, 454, 476, 2918, 260, 540, 476, 25851, 271, 815, 476, 9610, 275, 476, 2767, 260, 540, 476, 25851, 271, 815, 476, 13970, 279, 476, 2764, 260, 540, 476, 25851, 271, 815, 476, 14681, 273, 476, 3066, 260, 540, 476, 25851, 271, 815, 476, 14444, 277, 476, 1789, 260, 540, 476, 25851, 271, 815, 476, 14341, 271, 476, 4029, 260, 540, 476, 25851, 271, 815, 476, 15757, 275, 476, 3953, 260, 540, 476, 25851, 271, 815, 476, 15094, 279, 476, 3451, 260, 540, 476, 25851, 271, 815, 476, 9965, 273, 476, 4097, 260, 540, 476, 25851, 271, 815, 476, 8146, 277, 476, 3374, 260, 540, 476, 25851, 271, 815, 476, 6245, 271, 476, 3607, 260, 540, 476, 25851, 271, 815, 476, 3707, 275, 476, 4391, 260, 540, 476, 25851, 271, 815, 476, 1960, 279, 476, 4343, 260, 540, 476, 25851, 271, 815, 476, 13078, 273, 476, 4375, 260, 540, 476, 25851, 271, 815, 476, 13975, 277, 476, 2412, 260, 540, 476, 25851, 271, 815, 476, 21327, 271, 476, 6078, 260, 540, 476, 25851, 271, 815, 476, 21854, 275, 476, 5655, 260, 540, 476, 25851, 271, 815, 476, 26297, 279, 476, 6246, 260, 540, 476, 25851, 271, 815, 476, 22446, 273, 476, 4510, 260, 540, 476, 25851, 271, 815, 476, 26801, 277, 476, 3393, 260, 540, 476, 25851, 271, 815, 476, 25838, 271, 476, 5379, 260, 540, 476, 25851, 271, 815, 476, 27886, 275, 476, 5325, 260, 540, 476, 25851, 271, 815, 476, 26562, 279, 476, 4366, 260, 540, 476, 25851, 271, 815, 476, 28796, 273, 476, 5392, 260, 540, 476, 25851, 271, 815, 476, 25784, 277, 476, 2004, 260, 540, 476, 25851, 271, 815, 476, 17734, 271, 454, 476, 7906, 260, 540, 476, 25851, 271, 815, 476, 22550, 275, 476, 7367, 260, 540, 476, 25851, 271, 815, 476, 18231, 279, 476, 7871, 260, 540, 476, 25851, 271, 815, 476, 30525, 273, 476, 7918, 260, 540, 476, 25851, 271, 815, 476, 29720, 277, 476, 4649, 260, 540, 476, 25851, 271, 815, 476, 29574, 271, 476, 6321, 260, 540, 476, 25851, 271, 815, 476, 23714, 275, 476, 6872, 260, 540, 476, 25851, 271, 815, 476, 28906, 279, 476, 6812, 260, 540, 476, 25851, 271, 815, 476, 27123, 273, 476, 6795, 260, 540, 476, 25851, 271, 815, 476, 28760, 277, 476, 2568, 260, 540, 476, 25851, 271, 815, 476, 27844, 271, 476, 8618, 260, 540, 476, 25851, 271, 815, 476, 31696, 275, 476, 7830, 260, 540, 476, 25851, 271, 815, 476, 31172, 279, 476, 8287, 260, 540, 476, 25851, 271, 815, 476, 22430, 273, 476, 5038, 260, 540, 476, 25851, 271, 815, 476, 24833, 277, 476, 4792, 260, 540, 476, 25851, 271, 815, 476, 31620, 271, 476, 5780, 260, 540, 476, 25851, 271, 815, 476, 32579, 275, 476, 6858, 260, 540, 476, 25851, 271, 815, 476, 3607, 272, 279, 476, 6924, 260, 540, 476, 25851, 271, 815, 476, 3607, 278, 273, 476, 7597, 260, 540, 476, 25851, 271, 815, 476, 4391, 273, 277, 476, 3583, 260, 540, 476, 25851, 271, 815, 476, 274, 4281, 271, 476, 10170, 260, 540, 476, 25851, 271, 815, 476, 4343, 274, 275, 476, 7761, 260, 540, 476, 25851, 271, 815, 476, 4343, 279, 279, 476, 10463, 260, 540, 476, 25851, 271, 815, 476, 4375, 275, 273, 476, 10619, 260, 540, 476, 25851, 271, 815, 476, 274, 4200, 277, 476, 4037, 260, 540, 476, 25851, 271, 815, 476, 28147, 271, 454, 476, 10602, 260, 540, 476, 25851, 271, 815, 476, 25148, 275, 476, 6507, 260, 540, 476, 25851, 271, 815, 476, 25870, 279, 476, 4281, 260, 540, 476, 25851, 271, 815, 476, 275, 2641, 273, 476, 8064, 260, 540, 476, 25851, 271, 815, 476, 275, 2918, 277, 476, 3199, 260, 540, 476, 25851, 271, 815, 476, 28242, 271, 476, 10037, 260, 540, 476, 25851, 271, 815, 476, 275, 4391, 275, 476, 11025, 260, 540, 476, 25851, 271, 815, 476, 4510, 273, 279, 476, 10695, 260, 540, 476, 25851, 271, 815, 476, 275, 4366, 273, 476, 10019, 260, 540, 476, 25851, 271, 815, 476, 28526, 277, 476, 5952, 260, 540, 476, 25851, 271, 815, 476, 3393, 280, 271, 476, 10436, 260, 540, 476, 25851, 271, 815, 476, 275, 5038, 275, 476, 9262, 260, 540, 476, 25851, 271, 815, 476, 5379, 280, 279, 476, 6434, 260, 540, 476, 25851, 271, 815, 476, 275, 4037, 273, 476, 8660, 260, 540, 476, 25851, 271, 815, 476, 21878, 277, 476, 3445, 260, 540, 476, 25851, 271, 815, 476, 4366, 277, 271, 476, 11011, 260, 540, 476, 25851, 271, 815, 476, 5392, 272, 275, 476, 10844, 260, 540, 476, 25851, 271, 815, 476, 5392, 277, 279, 476, 11152, 260, 540, 476, 25851, 271, 815, 476, 2004, 273, 273, 476, 11463, 260, 540, 476, 25851, 271, 815, 476, 2004, 278, 277, 476, 4817, 260, 540, 476, 25851, 271, 815, 476, 276, 1724, 271, 476, 9834, 260, 540, 476, 25851, 271, 815, 476, 276, 1240, 275, 476, 9032, 260, 540, 476, 25851, 271, 815, 476, 276, 2537, 279, 476, 7176, 260, 540, 476, 25851, 271, 815, 476, 276, 3066, 273, 476, 4200, 260, 540, 476, 25851, 271, 815, 476, 276, 4097, 277, 476, 1911, 260, 540, 476, 25851, 271, 815, 476, 25851, 271, 0, 258, 4578, 23113, 543, 27122, 910, 853, 2931, 543, 6581, 1132, 692, 2162 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3751, 729, 5462, 547, 5397, 519, 5545, 5087, 998, 519, 21125, 11866, 5832, 543, 909, 602, 26570, 4155, 547, 19519, 563, 763, 4305, 729, 2016, 547, 21470, 31288, 7917, 13850, 768, 2917, 267, 543, 519, 1544, 1572, 585, 606, 12289, 540, 1079, 10195, 538, 519, 3752, 558, 976, 267, 519, 3854, 693, 570, 592, 698, 328, 543, 2871, 611, 531, 4754, 531, 267, 513, 3677, 6532, 5045, 540, 570, 592, 698, 328, 269, 9737, 873, 2893, 14205, 334, 6816, 267, 513, 4666, 18962, 563, 297, 777, 753, 4937, 25511, 24734, 631, 1731, 11867, 563, 763, 14213, 729, 8655, 547, 519, 476, 272, 560, 13149, 10406, 896, 966, 663, 1122, 337, 3424, 269, 25306, 1131, 4971, 519, 12289, 3196, 540, 3560, 338, 269, 634, 14213, 338, 2011, 3382, 1131, 2097, 689, 21470, 31288, 7671, 10793, 674, 2280, 7129, 1614, 19057, 267, 543, 922, 2673, 2987, 8878, 543, 7784, 1676, 344, 1489, 689, 9197, 8553, 18436, 1895, 269, 898, 729, 519, 1101, 18086, 3575, 540, 3703, 267, 8241, 267, 543, 1977, 17189, 4229, 538, 6370, 563, 5522, 10165, 585, 5181, 267, 519, 12289, 729, 6410, 909, 547, 4864, 476, 272, 1317, 519, 5545, 941, 2679, 513, 2196, 3118, 585, 2244, 2861, 14742, 593, 2871, 611, 531, 4754, 531, 269, 634, 3490, 729, 513, 2312, 3463, 547, 1977, 10618, 609, 5245, 543, 1715, 10215, 269, 13772, 339, 1077, 6410, 883, 1164, 10591, 269, 5548, 904, 14593, 519, 14213, 1394, 547, 4864, 476, 278, 563, 19602, 267, 519, 32042, 3401, 1558, 593, 674, 2280, 7129, 17514, 1222, 267, 519, 15298, 7203, 520, 7541, 267, 693, 918, 19660, 593, 5147, 476, 2918, 269, 1703, 674, 2280, 7815, 13890, 1010, 4566, 269, 634, 15298, 3196, 1131, 3251, 5045, 540, 2871, 611, 531, 4754, 531, 269, 25306, 1131, 1491, 519, 3560, 338, 538, 609, 519, 2267, 23924, 543, 6861, 619, 547, 2149, 1864, 267, 896, 9197, 8553, 2917, 269, 674, 2280, 7815, 1287, 12628, 1010, 23038, 17850, 281, 646, 1131, 11198, 1010, 1614, 19057, 476, 4366, 3108, 1310, 519, 12289, 563, 31282, 518, 729, 856, 571, 3022, 269, 2060, 9526, 532, 519, 2011, 3382, 1131, 28855, 1125, 519, 5106, 269, 898, 1131, 1491, 3476, 982, 602, 547, 796, 2903, 782, 519, 7727, 269, 966, 663, 1122, 337, 3424, 8815, 269, 1809, 674, 2280, 7815, 729, 6109, 269, 1306, 18239, 19524, 693, 519, 15298, 12959, 540, 4856, 531, 7256, 543, 11068, 3118, 267, 1079, 540, 1010, 19057, 1185, 1044, 3141, 330, 9944, 1010, 3952, 563, 763, 2898, 3196, 18188, 585, 2871, 611, 531, 4754, 531, 543, 570, 592, 698, 328, 593, 5147, 476, 4029, 267, 543, 9197, 8553, 2917, 6368, 1185, 513, 4960, 547, 7500, 609, 1010, 2267, 23924, 543, 6861, 619, 269, 2368, 646, 6785, 2907, 269, 634, 3703, 32472, 6019, 11665, 5230, 2267, 23924, 32518, 3008, 5245, 543, 32518, 3008, 2052, 828, 571, 1185, 5249, 609, 519, 1977, 5230, 2267, 16014, 2475, 306, 9628, 585, 930, 3275, 267, 2047, 896, 1010, 4971, 563, 3719, 519, 1007, 2267, 23924, 8655, 547, 1864, 267, 2475, 306, 966, 4532, 15086, 267, 2372, 514, 1097, 267, 543, 8330, 18319, 267, 1185, 711, 269, 2859, 11932, 267, 5103, 1279, 5389, 540, 27089, 267, 3318, 1143, 267, 543, 27265, 267, 519, 772, 2529, 269, 13108, 1705, 711, 2965, 723, 3044, 5665, 5773, 585, 2627, 17189, 12959, 269, 31453, 585, 29070, 3527, 538, 519, 10084, 7256, 896, 10656, 4971, 538, 5988, 476, 3707, 273, 267, 519, 772, 2529, 269, 13108, 1185, 711, 10692, 513, 2627, 6370, 2094, 476, 6245, 279, 267, 543, 602, 1996, 513, 3526, 335, 527, 5053, 13108, 269, 772, 2529, 269, 13108, 4305, 1895, 4971, 619, 941, 4397, 547, 3313, 741, 5773, 593, 519, 5544, 267, 799, 1223, 1291, 547, 7965, 609, 28365, 2792, 543, 11558, 563, 3719, 693, 2547, 519, 3196, 1223, 1293, 593, 4396, 5718, 269, 589, 3022, 476, 4366, 267, 9197, 8553, 2917, 729, 513, 25982, 4262, 2915, 609, 606, 10373, 2699, 581, 731, 267, 23649, 540, 513, 15117, 9061, 689, 2622, 2782, 594, 267, 543, 1185, 10692, 2627, 3527, 538, 2622, 2782, 4083, 563, 2026, 519, 20466, 3196, 2848, 3139, 5087, 267, 9197, 8553, 2917, 5249, 856, 1010, 28365, 4566, 538, 1010, 19970, 593, 5245, 269, 1261, 729, 26997, 547, 2322, 1010, 1950, 543, 14605, 20291, 3196, 883, 513, 2582, 1770, 267, 4250, 532, 621, 1131, 2097, 6306, 538, 519, 2566, 540, 6370, 269, 13536, 12959, 1131, 6961, 1864, 1318, 1492, 4892, 1131, 2119, 602, 8671, 545, 538, 2185, 2101, 17189, 4497, 906, 538, 519, 3752, 558, 976, 543, 1491, 10792, 9271, 563, 21156, 267, 646, 8359, 547, 7941, 1010, 3196, 269, 3571, 1378, 1895, 267, 1031, 547, 2324, 1927, 267, 1131, 9856, 519, 7013, 1935, 547, 2871, 611, 531, 4754, 531, 909, 547, 14205, 334, 6816, 607, 519, 8828, 6828, 267, 1247, 519, 1614, 1977, 2267, 23924, 1131, 29862, 519, 1858, 1063, 14205, 334, 543, 570, 592, 698, 328, 269, 634, 8832, 6828, 1131, 581, 18188, 676, 519, 9972, 1977, 11464, 267, 966, 4532, 15086, 1236, 23124, 18279, 19291, 21824, 1652, 12049, 23135, 681, 3971, 330, 2129, 331, 269, 3962, 1895, 1131, 723, 1614, 5230, 2267, 23924, 543, 1079, 6861, 619, 563, 2414, 519, 7532, 267, 9197, 8553, 2917, 11540, 1010, 1769, 2267, 23924, 267, 2475, 306, 5842, 20844, 543, 32518, 3008, 20122, 691, 267, 547, 9856, 1996, 513, 1166, 21403, 1847, 269, 1656, 6368, 267, 646, 5497, 547, 2322, 1079, 6861, 619, 593, 856, 14006, 10279, 267, 2475, 306, 9791, 543, 2475, 306, 25453, 13669, 15318, 267, 799, 1131, 2212, 856, 1354, 23863, 543, 29862, 267, 25453, 13669, 15318, 22070, 540, 14205, 334, 267, 9791, 22236, 540, 14205, 334, 267, 782, 3781, 1279, 269, 1358, 1185, 519, 1655, 16986, 12588, 540, 782, 1010, 6861, 619, 267, 513, 2039, 540, 5722, 547, 476, 1015, 5195, 563, 31282, 518, 9516, 9197, 8553, 18436, 4566, 267, 543, 593, 519, 3781, 540, 11016, 267, 4864, 476, 278, 267, 519, 12289, 3196, 2848, 3139, 689, 519, 7178, 883, 1018, 1131, 4166, 581, 3957, 11635, 321, 18847, 14675, 1063, 2871, 611, 531, 4754, 531, 543, 570, 592, 698, 328, 269, 2311, 476, 277, 281, 2004, 993, 267, 519, 3057, 1149, 7088, 539, 11849, 648, 563, 2467, 729, 1100, 4187, 593, 2871, 611, 531, 4754, 531, 269, 2201, 570, 592, 698, 328, 543, 922, 7404, 10195, 267, 519, 3057, 1149, 10443, 883, 5462, 8878, 267, 609, 5545, 10136, 5925, 532, 741, 22071, 538, 15887, 4954, 267, 593, 519, 6532, 540, 1715, 6628, 267, 585, 948, 563, 763, 6835, 6603, 31288, 25511, 24734, 631, 1731, 11867, 267, 945, 26017, 519, 5545, 661, 12915, 18307, 564, 269, 1261, 26017, 519, 2627, 10617, 1222, 24362, 538, 519, 1858, 689, 1010, 17514, 1222, 267, 519, 5230, 2267, 16014, 932, 758, 2967, 267, 543, 519, 2185, 10617, 4721, 540, 14265, 16014, 10406, 14520, 8655, 547, 1864, 281, 589, 20899, 267, 20943, 1872, 14505, 267, 674, 584, 583, 10440, 267, 543, 918, 752, 334, 269, 7982, 532, 873, 909, 941, 519, 1079, 1769, 2267, 23924, 14210, 787, 340, 543, 962, 889, 926, 267, 543, 513, 2582, 6861, 518, 267, 962, 684, 698, 328, 563, 300, 1731, 11867, 10288, 4262, 30350, 4043, 619, 543, 3761, 9635, 16041, 609, 12927, 906, 585, 2871, 611, 531, 4754, 531, 267, 25881, 543, 17177, 1499, 547, 8038, 476, 7785, 5195, 689, 15887, 4954, 547, 2871, 611, 531, 4754, 531, 547, 4323, 519, 10546, 9635, 267, 543, 1010, 1378, 16559, 10617, 4721, 547, 27043, 693, 15887, 4954, 585, 513, 16190, 4831, 3430, 871, 269, 1261, 5497, 547, 9292, 331, 1010, 2947, 5230, 543, 1079, 1769, 2267, 23924, 538, 835, 1071, 6150, 31329, 267, 1818, 513, 3781, 4323, 593, 519, 10546, 547, 6861, 741, 18239, 543, 3560, 338, 563, 763, 1544, 8604, 18174, 14551, 344, 269, 634, 4892, 1185, 2011, 27166, 543, 7899, 540, 11028, 18590, 14742, 547, 5544, 543, 3950, 631, 1731, 1177, 553, 3196, 267, 865, 621, 1131, 711, 723, 519, 5413, 540, 9983, 269, 898, 1131, 723, 513, 3908, 2179, 540, 942, 547, 1205, 883, 519, 2871, 611, 531, 4754, 531, 1858, 676, 3781, 543, 513, 3908, 2179, 540, 942, 547, 1205, 1394, 856, 269, 634, 1977, 10617, 4721, 1185, 16986, 547, 1852, 741, 15963, 267, 513, 2101, 5413, 538, 3781, 8165, 563, 3719, 631, 1731, 11867, 543, 1010, 2367, 941, 796, 13630, 32328, 269, 634, 15875, 5545, 13108, 8036, 2182, 585, 3781, 12959, 269, 634, 5545, 949, 723, 26218, 16986, 267, 855, 789, 8036, 519, 1034, 9952, 1413, 8083, 547, 4196, 676, 3781, 269, 1358, 1223, 5544, 9072, 607, 2484, 607, 2185, 5195, 279, 267, 1822, 7397, 12537, 267, 1256, 593, 4158, 17334, 269, 4256, 3406, 7547, 941, 9120, 547, 519, 1977, 3937, 563, 7197, 11932, 267, 7429, 741, 1977, 17837, 267, 5545, 5230, 2267, 23924, 941, 11439, 609, 8731, 6244, 3996, 267, 538, 607, 1082, 607, 5216, 13740, 267, 519, 6574, 538, 519, 1158, 269, 808, 777, 753, 5135, 1922, 3241, 539, 7043, 700, 766, 8731, 6244, 334, 729, 476, 2190, 6279, 538, 8006, 267, 1185, 513, 3432, 540, 476, 2004, 25418, 267, 513, 2039, 540, 5176, 2185, 5195, 267, 543, 1011, 10757, 593, 1764, 609, 519, 1379, 540, 922, 476, 272, 267, 13975, 1790, 895, 2112, 3650, 269, 1635, 6476, 267, 519, 4892, 9833, 519, 2856, 540, 818, 2719, 741, 5230, 2267, 23924, 609, 8731, 6244, 3996, 607, 28572, 543, 1705, 711, 798, 865, 563, 4263, 476, 275, 281, 1789, 10681, 593, 4864, 476, 278, 267, 631, 1731, 11867, 3366, 1010, 4305, 3196, 547, 4262, 547, 4339, 519, 10546, 538, 519, 1655, 7663, 29718, 2245, 269, 631, 1731, 1177, 553, 3196, 2848, 3139, 1524, 519, 10616, 1063, 519, 21125, 11866, 5832, 320, 8905, 602, 1131, 2663, 581, 1572, 634, 6215, 582, 23719, 13779, 267, 19481, 676, 8429, 645, 27739, 645, 268, 1704, 674, 2391, 10783, 816, 17177, 1499, 540, 4937, 19958, 5839, 6635, 628, 2720, 4971, 538, 5245, 269, 634, 1977, 14742, 4080, 3670, 796, 30009, 9635, 8289, 539, 267, 855, 1100, 811, 7224, 2990, 267, 1576, 267, 610, 3432, 563, 19602, 267, 5545, 17177, 1499, 16091, 519, 1977, 9635, 267, 8380, 513, 10514, 883, 519, 6861, 518, 631, 1872, 5112, 267, 4611, 538, 5634, 3441, 543, 11318, 476, 2420, 2367, 563, 6546, 12784, 267, 631, 1731, 11867, 5143, 1010, 5234, 602, 1010, 1544, 729, 513, 2196, 2987, 676, 3781, 267, 4553, 676, 513, 8731, 6244, 334, 4323, 269, 1261, 1131, 1491, 1010, 8458, 609, 1373, 19481, 676, 1554, 1282, 519, 5198, 1524, 593, 519, 476, 279, 628, 563, 4002, 519, 20466, 2427, 267, 9197, 8553, 18436, 9635, 4682, 547, 741, 7158, 267, 543, 3388, 729, 9602, 267, 519, 9635, 2848, 5446, 1394, 543, 8521, 1492, 8828, 10414, 538, 513, 2786, 1899, 267, 519, 8832, 10414, 538, 513, 4216, 29862, 563, 763, 1985, 6640, 267, 4864, 476, 279, 267, 631, 1731, 11867, 9250, 1010, 4262, 680, 6951, 547, 2638, 856, 2871, 611, 531, 4754, 531, 267, 543, 811, 5545, 17177, 1499, 18188, 585, 519, 6532, 563, 2691, 519, 986, 573, 3357, 538, 693, 29869, 267, 519, 17177, 1499, 941, 30870, 676, 513, 7372, 3046, 14141, 269, 634, 5545, 5734, 519, 6861, 518, 808, 541, 6665, 543, 513, 17177, 828, 1835, 14414, 883, 519, 3560, 6723, 674, 269, 11875, 328, 2714, 267, 4259, 1055, 513, 3595, 602, 4166, 986, 3022, 856, 540, 1852, 269, 634, 3560, 729, 14460, 269, 634, 6861, 518, 670, 1638, 6836, 547, 16173, 621, 609, 2185, 8731, 6244, 3996, 543, 602, 8959, 269, 634, 6723, 674, 269, 11875, 328, 2714, 2482, 14460, 543, 7296, 782, 998, 519, 3781, 563, 268, 17619, 6816, 21952, 29651, 269, 2212, 17991, 936, 1412, 24055, 569, 543, 16770, 18086, 262, 24616, 910, 1715, 3840, 5403, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 7276, 4934, 7410, 267, 6465, 523, 6816, 26864, 281, 1548, 18001, 476, 273, 1797, 585, 6465, 523, 6816, 6300, 11825, 910, 590, 6579, 633, 2593, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 4858, 2213, 538, 519, 3162, 1426, 14903, 786, 7017, 1524, 593, 8592, 6816, 713, 4832, 910, 4077, 31760, 4975, 7433, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 589, 943, 1078, 556, 641, 2287, 910, 634, 326, 31678, 529, 1633, 2593, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 4425, 577, 2488, 513, 5818, 585, 6816, 1347, 885, 910, 26795, 781, 966, 710, 12881, 8648, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 8262, 6816, 10003 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8334, 538, 4898, 1633, 2228, 2542, 454, 8334, 781, 24601, 538, 24090, 1633, 269, 11066, 2961, 2651, 16503, 3603, 676, 11184, 3627, 570, 3317, 1408, 269, 901, 1357, 7160, 3370, 676, 1496, 16942, 6870, 316, 7831, 8242, 13723, 563, 763, 10435, 540, 7705, 769, 24090, 1633, 7705, 781, 24601, 769, 24090, 1633, 519, 1433, 1200, 11078, 729, 2542, 267, 855, 621, 1185, 1100, 5961, 610, 7391, 538, 621, 267, 2387, 663, 1018, 563, 5472, 11271, 689, 11066, 2961, 2651, 781, 834, 7705, 781, 24601, 538, 24090, 1633, 834, 269, 6435, 721, 6338, 621, 547, 1866, 676, 1603, 513, 1732, 4367, 585, 621, 269, 7705, 267, 1373, 519, 8049, 8004, 1352, 729, 267, 4553, 519, 15529, 1524, 602, 8559, 543, 1336, 9887, 538, 513, 2244, 609, 1082, 13300, 269, 7305, 540, 12937, 269, 7705, 781, 24601, 538, 24090, 1633, 11066, 2961, 2651, 269, 898, 729, 513, 4898, 1633, 269, 7705, 781, 24601, 769, 24090, 1633, 910, 11066, 2961, 2651, 910, 9509, 23866, 9349, 910, 19415, 267, 3367, 267, 1299, 4039, 1314, 0, 268, 4305, 3196, 454, 2252, 513, 4305, 3196, 814, 513, 6101, 2012, 267, 31194, 621, 281, 634, 2160, 17130, 10414, 593, 519, 5113, 786, 1865, 1896, 1360, 4277, 2152, 693, 922, 1985, 5870, 269, 1403, 519, 4704, 568, 2489, 610, 13598, 267, 798, 711, 31194, 281, 634, 6280, 786, 6966, 513, 4305, 3196, 547, 1865, 2825, 2152, 593, 13464, 563, 268, 15146, 2338, 454, 8196, 5712, 547, 5094, 1858, 9479, 543, 18772, 525, 281, 476, 2004, 273, 269, 5952, 273, 269, 277, 1704, 272, 563, 2710, 711, 946, 519, 1003, 1968, 476, 272, 1354, 1858, 9479, 267, 1519, 476, 8517, 2338, 563, 32621, 538, 519, 1459, 13029, 585, 2489, 6280, 12326, 281, 834, 2005, 781, 513, 1390, 2856, 2437, 646, 3081, 563, 8196, 2250, 13029, 950, 513, 4266, 610, 1554, 1369, 519, 1650, 2306, 621, 25401, 2556, 281, 834, 296, 1616, 547, 2671, 1896, 3078, 8906, 609, 596, 2437, 519, 4387, 1767, 1282, 513, 6881, 547, 519, 2923, 2063, 3923, 1141, 646, 9307, 519, 2164, 540, 1010, 1382, 563, 268, 602, 267, 799, 454, 257, 6546, 257, 568, 1031, 547, 6338, 606, 1898, 16083, 630, 821, 602, 3112, 581, 17515, 1510, 4657, 519, 2495, 5148, 834, 6518, 257, 568, 1031, 547, 6338, 513, 1875, 24207, 16083, 281, 2701, 9896, 909, 585, 519, 2257, 1576, 602, 1352, 2877, 547, 2347, 1200, 2101, 269, 2701, 3576, 7350, 267, 799, 568, 513, 1576, 602, 1352, 2877, 547, 2347, 1200, 2101, 563, 2304, 1898, 16083, 1590, 711, 581, 1305, 1055, 689, 519, 1964, 540, 519, 4845, 676, 862, 553, 282, 513, 1875, 24207, 16083, 1590, 563, 268, 602, 267, 945, 454, 8196, 834, 7474, 257, 950, 13288, 547, 538, 534, 1493, 3615, 543, 547, 2831, 1510, 513, 2012, 281, 2701, 1568, 585, 519, 2754, 602, 10660, 1229, 8790, 14037, 710, 269, 1703, 4422, 519, 2915, 602, 3787, 803, 563, 8196, 834, 15367, 257, 950, 13288, 547, 1004, 610, 547, 2831, 609, 513, 2012, 281, 2701, 729, 519, 835, 945, 3323, 519, 2754, 269, 898, 729, 700, 817, 773, 945, 3787, 803, 563, 2710, 711, 31194, 834, 1492, 257, 1369, 513, 4845, 8259, 972, 568, 849, 513, 1689, 540, 1826, 2183, 630, 324, 3052, 1421, 547, 24495, 923, 264, 610, 513, 19722, 1665, 547, 29692, 519, 5467, 281, 1261, 13984, 519, 2160, 540, 8402, 6807, 269, 2701, 3340, 1200, 1053, 547, 1224, 834, 763, 20769, 6670, 257, 1142, 1032, 269, 1261, 20401, 525, 547, 634, 21676, 8175, 11219, 16067, 563, 4407, 1082, 4213, 543, 5238, 31194, 834, 1492, 257, 538, 741, 2012, 538, 741, 1820, 2326, 649, 798, 711, 281, 1261, 22595, 6006, 538, 519, 623, 10134, 328, 10870, 563, 268, 14364, 267, 16222, 454, 8196, 29038, 518, 257, 8259, 834, 1492, 11128, 257, 568, 851, 540, 519, 6101, 2012, 281, 26643, 538, 772, 1993, 299, 781, 14364, 1982, 616, 1419, 4371, 538, 774, 6412, 20989, 563, 293, 312, 296, 281, 2755, 713, 666, 581, 14845, 630, 18034, 607, 772, 1993, 299, 781, 14364, 8257, 3096, 519, 834, 1700, 516, 257, 10259, 585, 922, 6101, 2012, 1070, 621, 3587, 1454, 811, 2241, 952, 596, 3314, 602, 519, 1152, 942, 519, 834, 1700, 516, 257, 10259, 1058, 581, 1031, 568, 585, 8320, 538, 799, 834, 763, 11128, 257, 568, 3854, 1242, 563, 8196, 5515, 4849, 585, 834, 12158, 257, 543, 834, 13232, 9519, 4799, 8196, 513, 3935, 547, 5094, 3108, 689, 3764, 281, 476, 279, 281, 3393, 513, 6230, 563, 8196, 476, 279, 513, 6230, 269, 2864, 982, 476, 279, 281, 876, 513, 6230, 563, 22879, 21336, 17473, 971, 607, 476, 1015, 513, 6230, 269, 713, 6640, 563, 22879, 25481, 1210, 834, 334, 262, 22018, 4799, 1103, 2489, 267, 31194, 6101, 610, 21806, 10643, 1765, 26078, 1211, 267, 632, 534, 267, 6845, 1807, 1765, 29592, 4408, 540, 2043, 543, 27608, 950, 789, 1246, 4408, 269, 13722, 13826, 10855, 610, 17163, 10643, 281, 9375, 3627, 1684, 324, 563, 8196, 2407, 4408, 593, 1101, 4704, 269, 2201, 2034, 543, 7766, 8100, 267, 946, 1152, 2063, 4408, 267, 1510, 21806, 10643, 267, 585, 1312, 2367, 543, 2021, 7488, 540, 29281, 4567, 563, 13052, 4753, 303, 3582, 281, 1677, 10646, 1063, 513, 9393, 543, 7385, 20926, 538, 519, 1482, 1650, 267, 10539, 1419, 666, 581, 14284, 676, 1210, 1101, 4408, 281, 3627, 543, 13191, 8055, 32524, 593, 519, 1353, 269, 834, 2171, 4080, 938, 4681, 693, 519, 1985, 10554, 2437, 13191, 3081, 269, 834, 2005, 729, 606, 4277, 8400, 2437, 3627, 8591, 563, 297, 15477, 570, 3951, 299, 2464, 281, 2422, 27608, 585, 10643, 8259, 789, 616, 2047, 1354, 513, 2012, 543, 1599, 607, 851, 540, 519, 2012, 281, 25760, 15608, 13643, 1558, 609, 5518, 6601, 24229, 8055, 547, 1865, 1896, 1382, 2152, 269, 13191, 1684, 324, 267, 632, 534, 540, 519, 2564, 1153, 267, 849, 13984, 563, 2710, 711, 31194, 10643, 538, 13598, 6165, 281, 634, 632, 753, 1558, 609, 519, 7022, 563, 2026, 513, 2489, 4341, 267, 10643, 5627, 811, 982, 2185, 1913, 1058, 581, 5116, 1310, 519, 2012, 563, 2316, 26950, 2464, 5508, 12601, 19006, 281, 13317, 1125, 267, 538, 19722, 7436, 267, 519, 2407, 267, 6101, 10643, 540, 11925, 267, 19014, 267, 29468, 267, 18531, 543, 2147, 2621, 281, 589, 13186, 11331, 834, 763, 2422, 540, 519, 7732, 257, 786, 581, 4371, 1985, 3018, 269, 2422, 27608, 585, 1641, 2339, 281, 661, 330, 560, 668, 7732, 786, 2709, 513, 13186, 593, 5399, 946, 563, 4596, 7838, 307, 2464, 312, 570, 3951, 299, 2464, 281, 769, 513, 6101, 1592, 630, 1993, 5171, 610, 22881, 267, 585, 3236, 264, 834, 16031, 1421, 257, 834, 300, 3464, 1421, 257, 834, 29309, 2437, 543, 834, 16039, 1701, 1058, 581, 31360, 267, 4849, 950, 513, 4807, 4481, 13668, 547, 946, 1200, 9393, 781, 2012, 281, 11427, 269, 9478, 1684, 324, 267, 6004, 269, 543, 11427, 269, 3627, 1684, 324, 563, 308, 1993, 299, 568, 513, 6280, 22028, 269, 2142, 3222, 602, 782, 6280, 27291, 543, 7436, 616, 6870, 896, 5313, 22028, 1876, 269, 6423, 519, 6651, 547, 18753, 14740, 585, 811, 1344, 563, 2690, 824, 2472, 267, 950, 2009, 946, 519, 13598, 5973, 757, 281, 11132, 5160, 269, 1403, 519, 22028, 539, 2012, 568, 2556, 267, 31194, 519, 1101, 4484, 1152, 281, 21890, 523, 1410, 10691, 918, 4041, 2894, 13052, 454, 15507, 519, 2511, 7666, 728, 676, 20438, 912, 2252, 596, 723, 1022, 10372, 585, 519, 32000, 13910, 7666, 728, 267, 5225, 6494, 873, 547, 721, 269, 0, 268, 3414, 610, 2282, 713, 7934, 2095, 5087, 2072, 538, 6252, 6030, 519, 8933, 4173, 328, 8573, 644, 630, 5938, 329, 754, 264, 543, 12653, 724, 629, 267, 2394, 789, 6336, 2933, 538, 519, 9390, 540, 918, 4673, 10275, 636, 563, 268, 6168, 713, 942, 519, 1855, 330, 651, 12395, 30689, 267, 1287, 2713, 593, 519, 4173, 328, 8573, 644, 267, 941, 7142, 676, 519, 6431, 2103, 547, 22109, 5087, 1189, 563, 268, 4173, 328, 267, 1110, 563, 268, 2986, 519, 5748, 540, 4173, 520, 630, 528, 4173, 328, 267, 607, 621, 568, 1869, 1419, 1572, 264, 4986, 568, 1634, 563, 268, 4498, 320, 10216, 1070, 538, 519, 25610, 540, 519, 5757, 1323, 639, 630, 15463, 328, 8573, 644, 1070, 799, 6508, 922, 2012, 689, 873, 269, 0, 5278, 2474, 1250, 19223, 1353, 540, 13271, 1250, 322, 5505, 3744, 945, 1353, 13271, 1250, 20799, 16464, 1108, 1353, 540, 16507, 13802, 543, 741, 2360, 1250, 322, 4680, 3676, 3361, 676, 13271, 454, 1911, 267, 1822, 2249, 8307, 476, 1911, 1480, 13596, 267, 13271, 2404, 3676, 616, 8375, 267, 1813, 547, 562, 657, 665, 6706, 5563, 543, 538, 6375, 665, 20234, 668, 2213, 2550, 630, 773, 269, 7486, 267, 3987, 267, 13003, 11570, 264, 1306, 704, 326, 650, 2670, 267, 2349, 770, 3912, 322, 2670, 1765, 335, 592, 14004, 5563, 543, 23425, 949, 581, 3238, 269, 476, 276, 267, 1822, 2030, 13596, 284, 259, 272, 5479, 270, 10455, 674, 7419, 22835, 454, 293, 25193, 18567, 661, 20915, 5328, 4107, 616, 5564, 545, 32698, 543, 930, 616, 27033, 32698, 269, 670, 2678, 582, 13116, 12559, 12643, 5567, 910, 949, 581, 18682, 13681, 525, 630, 25388, 321, 689, 4666, 1570, 1070, 15495, 267, 610, 8994, 2065, 1623, 321, 542, 1206, 630, 5976, 13479, 1118, 6132, 1156, 1040, 1530, 4740, 3532, 29230, 6776, 11476, 269, 8426, 6821, 2270, 669, 527, 514, 267, 606, 11254, 4006, 30713, 21839, 728, 849, 1336, 538, 818, 6605, 617, 608, 18929, 30416, 19768, 9206, 7578, 454, 23322, 2524, 540, 13271, 589, 269, 32541, 267, 1875, 268, 15466, 7103, 645, 269, 16196, 676, 1797, 540, 24032, 630, 935, 573, 807, 1070, 2356, 2842, 16162, 20759, 730, 595, 269, 1312, 4638, 630, 1889, 8438, 264, 543, 513, 25757, 630, 2466, 5328, 264, 24032, 949, 581, 3812, 267, 4470, 593, 519, 2249, 543, 2175, 667, 269, 3335, 711, 2138, 850, 267, 4352, 513, 1906, 630, 324, 3052, 269, 932, 12682, 337, 1749, 264, 723, 513, 2138, 850, 5123, 269, 661, 269, 899, 2371, 267, 949, 723, 513, 7123, 688, 30666, 1299, 9733, 1355, 2829, 674, 269, 3543, 894, 1560, 949, 581, 27033, 32698, 630, 6614, 6814, 264, 610, 24352, 32698, 22285, 338, 7768, 540, 18784, 16060, 1572, 1728, 874, 2801, 269, 717, 269, 1591, 6821, 7768, 540, 6140, 540, 669, 527, 514, 543, 6722, 534, 269, 670, 269, 13216, 32594, 609, 4835, 31759, 267, 2890, 16344, 14613, 543, 2890, 30344, 2737, 454, 295, 269, 13271, 616, 10636, 582, 13116, 630, 968, 1278, 8023, 2223, 1590, 3049, 593, 840, 11526, 5214, 1570, 1070, 711, 1313, 582, 13116, 630, 968, 1345, 8023, 2223, 1118, 741, 1378, 1426, 676, 15591, 1040, 910, 9521, 2831, 630, 10193, 10636, 582, 13116, 1070, 799, 3824, 652, 1287, 7558, 267, 13271, 7558, 1287, 3824, 652, 269, 910, 293, 2426, 328, 3132, 608, 14535, 10192, 547, 9585, 713, 594, 269, 4107, 13271, 4558, 741, 1426, 607, 25026, 4094, 630, 3697, 2831, 1040, 12518, 4558, 1426, 607, 20566, 269, 918, 269, 674, 25193, 1591, 17011, 723, 513, 2189, 10322, 565, 267, 23908, 8803, 565, 267, 799, 30283, 8501, 1336, 538, 27899, 1591, 17011, 700, 269, 31793, 2544, 3940, 1765, 335, 3174, 540, 513, 1114, 1826, 538, 2890, 30344, 2737, 4646, 1282, 6046, 6498, 269, 631, 269, 4107, 13271, 723, 1360, 1507, 22140, 267, 609, 2370, 16625, 5027, 269, 715, 269, 14600, 2670, 568, 3622, 12913, 1510, 27072, 540, 519, 6046, 23508, 454, 7072, 540, 13271, 661, 20915, 5328, 267, 670, 2678, 582, 13116, 630, 17057, 334, 515, 614, 582, 13116, 264, 2890, 6716, 1143, 3143, 28060, 267, 1875, 2173, 582, 850, 27387, 540, 2281, 630, 1506, 874, 2801, 1070, 29529, 1591, 6821, 630, 572, 696, 622, 1070, 1728, 13921, 606, 770, 558, 2670, 19554, 7623, 282, 25026, 4094, 454, 300, 9529, 27129, 748, 13271, 1728, 874, 2801, 630, 338, 1421, 1728, 6495, 264, 519, 2083, 14613, 540, 513, 9044, 949, 581, 1071, 523, 7514, 6776, 630, 7224, 3444, 6821, 264, 610, 723, 694, 24473, 630, 29589, 6821, 264, 1250, 4897, 1756, 630, 680, 269, 1250, 4897, 807, 264, 15985, 956, 610, 8126, 1194, 13999, 540, 1728, 874, 2801, 454, 31800, 6814, 27033, 32698, 13271, 16196, 513, 16303, 1302, 267, 1419, 676, 27503, 16196, 16770, 676, 5250, 540, 24032, 454, 20812, 874, 2801, 5754, 874, 2801, 616, 2966, 547, 2333, 519, 2627, 1858, 540, 13271, 543, 3976, 7520, 10338, 2904, 1332, 3728, 267, 909, 547, 476, 272, 5998, 829, 1554, 267, 607, 789, 3262, 2429, 513, 1426, 2707, 2904, 581, 1071, 523 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1007, 1867, 2938, 676, 24141, 2923, 2982, 1018, 269, 1546, 7491, 2583, 646, 518, 568, 519, 2244, 5057, 540, 519, 11439, 4229, 540, 27437, 1492, 1459, 1554, 24141, 7952, 729, 8547, 538, 476, 4198, 276, 607, 851, 540, 519, 9241, 4646, 7178, 24141, 15985, 525, 933, 15590, 1927, 609, 519, 7286, 24141, 26010, 543, 519, 561, 340, 1111, 342, 25377, 24141, 2011, 3196, 563, 763, 24141, 7952, 24141, 563, 30051, 15985, 525, 933, 15590, 269, 5125, 593, 512, 11698, 1767, 621, 1185, 17303, 32585, 930, 540, 922, 10136, 18611, 607, 851, 540, 519, 4550, 568, 22687, 538, 1775, 12036, 538, 519, 269, 4436, 903, 4108, 4987, 3028, 814, 1044, 14236, 7366, 540, 15985, 525, 933, 15590, 7980, 16143, 540, 3771, 321, 1681, 1318, 13617, 17119, 626, 10709, 902, 269, 634, 3355, 9837, 729, 711, 547, 16153, 1022, 5449, 530, 3530, 523, 521, 338, 2367, 855, 713, 729, 4166, 4957, 547, 1450, 5449, 2818, 909, 547, 519, 7584, 540, 522, 828, 560, 584, 3387, 2335, 325, 826, 327, 17243, 9114, 23133, 3935, 601, 563, 303, 559, 1824, 21616, 602, 789, 18085, 8038, 616, 29655, 269, 634, 16034, 540, 519, 24141, 11439, 4229, 538, 24141, 269, 634, 2829, 540, 27437, 616, 711, 4847, 547, 2226, 11439, 4229, 540, 741, 1378, 2094, 519, 24141, 11156, 2829, 602, 6927, 540, 8878, 2887, 883, 519, 6852, 5539, 540, 519, 5313, 2229, 563, 763, 3390, 540, 530, 3530, 523, 521, 338, 18884, 538, 24141, 2486, 3357, 547, 513, 2212, 950, 27437, 556, 28534, 543, 4646, 519, 15985, 525, 933, 15590, 538, 476, 4198, 276, 269, 654, 3530, 523, 521, 338, 543, 519, 15985, 525, 933, 15590, 269, 645, 526, 525, 557, 5313, 20237, 4229, 568, 519, 19618, 11439, 4229, 540, 27437, 543, 741, 3540, 7245, 543, 27147, 8128, 563, 293, 1168, 518, 982, 476, 736, 2600, 540, 24141, 903, 476, 6924, 20259, 8396, 21484, 641, 1562, 543, 7864, 982, 476, 1789, 2600, 540, 922, 476, 15793, 20789, 325, 7660, 32062, 1223, 8038, 538, 3735, 476, 1001, 279, 269, 1306, 540, 632, 4895, 476, 1001, 280, 519, 24141, 7952, 1185, 513, 4222, 540, 476, 277, 3374, 4649, 7980, 269, 4436, 903, 4108, 568, 835, 540, 519, 4102, 538, 21570, 563, 30051, 11198, 338, 930, 10136, 689, 1775, 12036, 607, 13253, 865, 541, 269, 634, 15985, 525, 933, 15590, 568, 513, 6952, 782, 2165, 538, 24141, 6220, 519, 7952, 26010, 543, 2011, 3196, 269, 3143, 2339, 1141, 596, 1413, 519, 637, 14524, 513, 1164, 20823, 24141, 11464, 6728, 539, 693, 15985, 525, 933, 15590, 22071, 538, 10874, 4802, 1767, 563, 289, 1495, 525, 933, 15590, 941, 1305, 909, 676, 519, 7022, 609, 519, 606, 867, 333, 2426, 964, 15985, 525, 335, 571, 525, 1211, 523, 579, 324, 828, 5884, 1019, 523, 560, 326, 2784, 2041, 2763, 747, 333, 684, 2102, 3768, 5884, 7833, 3541, 4421, 22760, 593, 519, 4493, 540, 3296, 476, 275, 5037, 476, 274, 540, 519, 4421, 520, 10622, 28856, 5313, 1876, 7282, 519, 3656, 4567, 540, 7980, 269, 0, 3682, 15251, 543, 13307, 616, 513, 4909, 540, 1148, 269, 1358, 4766, 519, 2702, 547, 1747, 606, 1843, 267, 610, 851, 540, 606, 1843, 267, 538, 519, 1318, 1747, 543, 693, 519, 1318, 2450, 269, 901, 4480, 6212, 593, 6111, 543, 6482, 267, 1256, 950, 21179, 908, 707, 1641, 563, 2467, 616, 2789, 2081, 540, 4974, 543, 7311, 713, 1641, 563, 15919, 596, 786, 946, 2789, 2553, 693, 519, 1482, 942, 267, 824, 2053, 596, 786, 1175, 991, 835, 540, 891, 2553, 267, 621, 2731, 5673, 593, 519, 1641, 543, 519, 1880, 14745, 602, 596, 616, 2870, 269, 6733, 693, 1142, 540, 891, 607, 1367, 2553, 547, 960, 593, 543, 2119, 856, 267, 1312, 538, 707, 2090, 543, 707, 12383, 267, 2394, 596, 1265, 707, 1378, 1505, 563, 2467, 616, 930, 4909, 3652, 602, 616, 1271, 547, 3274, 8357, 1047, 547, 1118, 707, 1272, 4443, 543, 707, 11247, 811, 5812, 269, 6056, 540, 891, 607, 707, 10253, 538, 2575, 610, 2053, 7515, 538, 13004, 630, 2254, 602, 594, 2479, 4121, 1022, 540, 519, 8545, 561, 565, 14386, 901, 1419, 10039, 547, 14169, 3652, 607, 8357, 2358, 873, 2636, 596, 547, 2721, 519, 3328, 1480, 9985, 1169, 942, 563, 7078, 281, 634, 4064, 616, 2141, 3368, 1259, 1524, 519, 3068, 267, 519, 10772, 1899, 909, 609, 519, 1283, 540, 519, 32071, 4900, 543, 3490, 540, 519, 9224, 3092, 563, 5475, 513, 1247, 540, 8026, 891, 4909, 3652, 596, 4465, 1406, 991, 547, 1589, 827, 873, 1022, 811, 543, 596, 3580, 1175, 2721, 873, 7157, 1510, 3206, 269, 594, 786, 4685, 883, 14169, 538, 513, 2104, 2022, 563, 27066, 616, 865, 1271, 950, 596, 616, 2324, 593, 1022, 1788, 269, 27814, 596, 1616, 811, 982, 835, 269, 594, 1419, 1118, 3003, 7099, 12545, 4502, 540, 8100, 585, 1142, 14745, 563, 2791, 666, 849, 1711, 707, 1378, 8100, 676, 1210, 476, 274, 291, 3292, 267, 1210, 3631, 543, 812, 928, 638, 1231, 610, 30286, 543, 2921, 6337, 540, 3054, 563, 2791, 1616, 547, 946, 707, 4704, 547, 1217, 707, 960, 269, 898, 666, 581, 2653, 547, 5299, 267, 855, 596, 1810, 1406, 991, 547, 267, 3079, 946, 621, 547, 948, 596, 4194, 2042, 602, 596, 7237, 538, 707, 960, 630, 704, 4257, 596, 6560, 609, 513, 1978, 851, 540, 14169, 610, 513, 1978, 5086, 264, 543, 547, 7618, 596, 540, 1919, 596, 917, 630, 8145, 4193, 596, 540, 1141, 519, 27894, 593, 519, 1560, 616, 610, 875, 1978, 6091, 1847, 8094, 2252, 596, 616, 5373, 606, 16494, 1641, 596, 1058, 1869, 723, 4704, 547, 1217, 707, 5373, 269, 630, 2252, 596, 2461, 5373, 513, 15743, 596, 1223, 723, 513, 561, 19123, 543, 513, 10627, 267, 610, 513, 561, 19123, 543, 513, 6177, 543, 581, 6273, 547, 2721, 1007, 2010, 540, 22645, 602, 1118, 707, 960, 2189, 8094, 3528, 26655, 707, 960, 543, 22348, 596, 602, 519, 1641, 2115, 547, 581, 6198, 1287, 4704, 2337, 596, 1246, 519, 3652, 540, 2470, 543, 1174, 519, 1526, 2774, 687, 610, 21179, 725, 596, 1616, 547, 960, 609, 269, 661, 326, 281, 596, 1174, 1141, 547, 1747, 519, 3597, 540, 519, 12209, 547, 1118, 621, 1825, 15344, 676, 3168, 693, 5017, 610, 596, 1174, 875, 2462, 519, 2212, 1058, 581, 5266, 676, 3168, 693, 28499, 563, 1607, 568, 1141, 596, 2721, 3515, 1472, 3615, 547, 1526, 1778, 873, 865, 602, 596, 1810, 1406, 979, 20991, 982, 519, 28286, 1540, 1858, 538, 707, 5373, 269, 898, 4992, 513, 3787, 7493, 267, 855, 621, 2306, 2631, 950, 2965, 5373, 563, 5331, 596, 616, 5373, 513, 4262, 15743, 543, 596, 1616, 1864, 547, 723, 513, 1804, 14969, 1710, 593, 1010, 2212, 269, 8571, 513, 3808, 532, 4216, 602, 18575, 519, 5207, 1448, 543, 519, 2949, 3337, 540, 519, 1710, 269, 1411, 786, 2760, 2721, 2250, 713, 1899, 269, 3767, 2721, 519, 1710, 3330, 713, 3337, 267, 6748, 621, 607, 513, 3391, 563, 2791, 666, 2721, 513, 3808, 532, 4216, 1472, 606, 3003, 1641, 267, 4180, 621, 3085, 1406, 2887, 1055, 519, 6316, 540, 519, 2985, 610, 1439, 909, 1932, 7381, 269, 1411, 666, 849, 946, 621, 593, 1367, 2934, 971, 607, 3946, 610, 3952, 3092, 547, 1118, 2386, 789, 6474, 519, 1964, 540, 707, 17114, 1354, 5373, 782, 519, 4835, 3877, 563, 27078, 894, 2230, 568, 519, 2230, 1063, 3615, 269, 1635, 5373, 519, 2942, 2230, 596, 1439, 909, 5373, 519, 1641, 610, 693, 2547, 519, 6316, 540, 519, 1641, 269, 5994, 602, 596, 616, 5373, 519, 2759, 856, 851, 269, 901, 568, 3226, 3730, 950, 4180, 513, 3623, 17924, 8291, 568, 6537, 7157, 610, 3843, 547, 960, 856, 875, 2484, 6306, 1114, 1560, 2694, 610, 3615, 616, 689, 1142, 824, 269, 594, 993, 7683, 15175, 1063, 3168, 693, 2318, 543, 2942, 2230, 950, 5373, 547, 2268, 519, 2949, 3623, 17924, 8291, 610, 4188, 17873, 269, 901, 568, 3226, 5363, 950, 3257, 2090, 610, 1210, 4704, 607, 596, 666, 6474, 519, 2942, 2230, 538, 519, 4704, 609, 602, 540, 707, 5373, 563, 1607, 3322, 1210, 707, 3490, 1702, 2553, 855, 2337, 596, 4019, 873, 543, 2327, 596, 723, 6027, 7157, 563, 8340, 606, 1843, 538, 707, 14745, 547, 946, 607, 513, 3490, 6482, 269, 1403, 596, 723, 513, 2407, 4137, 713, 1223, 581, 519, 2212, 267, 513, 1688, 610, 513, 3723, 269, 769, 513, 17855, 621, 1223, 581, 519, 2212, 610, 606, 3750, 269, 769, 513, 5251, 621, 1223, 581, 513, 3529, 610, 513, 2777, 610, 513, 1268, 269, 3973, 2268, 824, 2694, 540, 519, 3239, 1210, 713, 3490, 6482, 269, 661, 326, 519, 2062, 1301, 568, 4010, 835, 3723, 538, 3259, 267, 519, 1560, 568, 1535, 2179, 540, 9843, 1164, 267, 519, 2777, 568, 562, 4054, 1164, 3092, 269, 2422, 713, 3490, 6482, 547, 2638, 602, 3388, 538, 707, 3239, 2306, 2631, 538, 6935, 547, 835, 1776, 563, 27455, 12201, 616, 3615, 610, 2934, 602, 596, 666, 2141, 1413, 585, 543, 946, 607, 4808, 610, 7893, 2798, 547, 1747, 824, 3615, 269, 1358, 849, 948, 596, 5544, 519, 10047, 540, 1945, 563, 292, 326, 519, 6789, 3041, 543, 13662, 3041, 15956, 2995, 596, 519, 10047, 540, 519, 25637, 267, 519, 9224, 6645, 596, 519, 10047, 540, 519, 2212, 267, 519, 29523, 636, 543, 519, 27897, 7633, 1522, 948, 596, 8167, 519, 8731, 810, 7157, 267, 610, 519, 19704, 543, 1714, 28647, 1522, 948, 596, 1747, 519, 17873, 269, 589, 19506, 666, 581, 4376, 602, 596, 666, 7048, 593, 547, 2141, 581, 519, 1482, 267, 865, 1210, 519, 22403, 547, 1265, 21056, 568, 606, 2500, 1907, 538, 4137, 5373, 563, 307, 8962, 607, 10274, 454, 2791, 666, 946, 519, 2645, 538, 707, 3946, 547, 948, 596, 269, 2052, 1406, 4137, 856, 519, 5086, 540, 513, 1899, 286, 15579, 707, 15513, 1996, 519, 1899, 547, 1294, 519, 5086, 20501, 543, 1287, 5635, 621, 609, 1018, 596, 4076, 6537, 269, 1411, 666, 849, 946, 519, 6316, 540, 513, 11453, 630, 9418, 610, 2757, 264, 538, 519, 1482, 1259, 563, 294, 10676, 532, 513, 1899, 568, 950, 596, 2721, 621, 538, 519, 2011, 1354, 5373, 621, 593, 519, 2985, 269, 901, 2636, 596, 547, 1745, 1018, 519, 1899, 1058, 581, 899, 543, 798, 513, 1906, 2853, 1354, 22867, 547, 519, 2985, 269, 1411, 666, 849, 15293, 513, 1899, 936, 513, 4704, 3239, 543, 1287, 2119, 547, 5299, 519, 3350, 593, 707, 1378, 5373, 547, 6474, 606, 5086, 610, 7455, 4010, 563, 763, 1657, 2553, 666, 581, 1031, 950, 3843, 547, 5299, 1945, 4010, 1282, 513, 4487, 1353, 610, 950, 2324, 689, 9345, 543, 16462, 547, 2327, 3388, 568, 1825, 15344, 269, 7591, 1472, 609, 873, 543, 596, 786, 1265, 3054, 6923, 6616, 950, 547, 946, 1142, 540, 519, 2553, 563, 2252, 596, 723, 1022, 2055, 1745, 1863, 547, 4734, 873, 2630, 563, 2252, 596, 1131, 899, 547, 2263, 713, 1641, 2417, 594, 4363, 10992, 856, 1160, 14150, 779, 13334, 7044, 543, 519, 1433, 14301, 593, 519, 1318, 2427, 540, 519, 2634, 676, 5975, 1399, 29885, 0, 307, 15957, 6840, 2322, 741, 7772, 540, 1272, 543, 1565, 883, 3350, 1107, 789, 616, 2760, 1869, 543, 666, 946, 741, 3952, 607, 8748, 2645, 269, 898, 779, 2635, 547, 3802, 11953, 20584, 267, 2523, 607, 519, 4365, 2112, 916, 269, 594, 1705, 621, 609, 1250, 3214, 543, 1631, 519, 6264, 330, 1749, 282, 7189, 1256, 4363, 621, 269, 1924, 1491, 1055, 519, 10887, 543, 851, 820, 538, 3723, 5751, 267, 2591, 543, 3756, 547, 948, 707, 1453, 2263, 741, 3952, 563, 306, 599, 32597, 547, 707, 3952, 543, 3635, 2336, 1892, 654, 820, 909, 707, 19462, 609, 513, 2370, 530, 24513, 548, 269, 4032, 519, 19462, 4464, 543, 23651, 563, 1892, 700, 3424, 835, 3723, 693, 513, 942, 543, 1118, 519, 3723, 979, 5180, 543, 5180, 547, 519, 1318, 543, 547, 519, 2451, 269, 3973, 1448, 543, 4827, 563, 1892, 6875, 2462, 3268, 543, 4816, 3268, 269, 7420, 873, 547, 5577, 267, 18178, 543, 7086, 641, 563, 1892, 5620, 707, 22525, 9114, 593, 519, 6989, 609, 1010, 3952, 538, 519, 2011, 269, 23239, 754, 547, 1118, 707, 11953, 3952, 3802, 538, 519, 2011, 610, 29465, 513, 17919, 563, 13981, 2451, 689, 1318, 7498, 1607, 568, 513, 2182, 5578, 855, 11953, 3952, 666, 948, 269, 4635, 513, 11547, 762, 15262, 267, 1665, 707, 1126, 779, 1318, 3723, 609, 519, 4484, 681, 543, 1287, 519, 2451, 3723, 609, 606, 700, 269, 3767, 2253, 547, 2285, 2370, 12981, 547, 1404, 713 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 634, 2164, 540, 1896, 2090, 8612, 602, 24101, 571, 3101, 643, 958, 519, 1764, 540, 2627, 11315, 1145, 593, 15451, 28455, 568, 1454, 811, 1271, 982, 519, 3310, 540, 2627, 1863, 1648, 269, 2368, 538, 24155, 2090, 723, 6700, 513, 12939, 1377, 540, 2627, 11315, 1145, 630, 26244, 815, 476, 271, 269, 273, 32755, 264, 2630, 799, 1100, 2417, 5786, 538, 15799, 13250, 1223, 581, 4397, 269, 1323, 2333, 538, 11315, 1145, 540, 2627, 3564, 713, 8473, 1467, 1377, 267, 2705, 267, 8507, 538, 21800, 2333, 538, 15799, 13250, 269, 1691, 454, 293, 1168, 538, 20117, 2090, 4080, 547, 723, 3310, 540, 2627, 11315, 1145, 593, 15799, 5250, 269, 1879, 4522, 941, 17735, 538, 9190, 4529, 267, 513, 476, 1015, 24670, 2333, 538, 12733, 535, 6748, 4559, 729, 2938, 1310, 2627, 13193, 326, 515, 940, 630, 18933, 691, 345, 543, 29928, 1040, 1428, 1717, 267, 950, 519, 28455, 540, 6790, 696, 19905, 521, 1481, 17430, 547, 12432, 2326, 729, 8947, 609, 13380, 11315, 1145, 630, 337, 4474, 689, 476, 271, 269, 279, 547, 476, 272, 269, 275, 32755, 1070, 1152, 30050, 3604, 941, 10805, 269, 4935, 267, 891, 2090, 5815, 513, 2318, 9756, 1063, 2627, 11315, 1145, 543, 3355, 9190, 28455, 269, 1626, 454, 19617, 2730, 538, 24155, 2090, 8947, 519, 1198, 540, 2627, 11315, 1145, 593, 24101, 571, 3101, 2526, 15799, 5250, 543, 593, 27731, 1072, 269, 681, 965, 7252, 630, 322, 992, 985, 267, 15498, 705, 583, 906, 264, 18645, 543, 11677, 811, 15799, 630, 628, 32169, 1858, 267, 543, 12733, 8108, 4559, 1040, 1452, 7422, 941, 1447, 6654, 538, 2550, 609, 6099, 5711, 9882, 610, 950, 15799, 729, 20639, 609, 19020, 17523, 269, 2991, 1896, 2395, 540, 15799, 5250, 267, 11315, 7252, 22426, 9921, 15799, 6353, 676, 606, 2799, 8167, 540, 2138, 850, 7103, 543, 838, 10098, 322, 2867, 525, 269, 1306, 513, 12343, 267, 31750, 609, 11315, 7252, 941, 811, 4749, 11303, 676, 606, 28332, 1974, 2632, 1756, 267, 6353, 676, 2362, 11702, 4994, 267, 606, 2799, 1212, 341, 7781, 5714, 2504, 267, 543, 1277, 10999, 28332, 5160, 269, 1744, 4176, 543, 5347, 7252, 1510, 11188, 657, 885, 267, 4222, 267, 12802, 267, 18274, 2225, 267, 1609, 12060, 267, 4313, 267, 14909, 32725, 267, 7850, 900, 1962, 9778, 267, 18900, 29473, 2424, 267, 543, 2681, 6617, 616, 2188, 602, 723, 8329, 547, 513, 1134, 10784, 1122, 3603, 1008, 29850, 11808, 269, 1704, 454, 763, 1699, 1353, 5342, 729, 1759, 593, 2627, 11315, 1145, 543, 11188, 13920, 540, 1614, 1008, 29850, 29260, 2326, 269, 769, 713, 1353, 941, 18861, 332, 996, 659, 787, 17218, 2861, 1313, 30496, 1067, 1242, 1008, 29850, 29260, 1570, 630, 7894, 296, 264, 543, 645, 3722, 2861, 1313, 30496, 1067, 1242, 1008, 29850, 29260, 2326, 630, 307, 11391, 1993, 527, 267, 5019, 11391, 10001, 1040, 1677, 2638, 2627, 11315, 1145, 540, 1142, 1570, 267, 519, 15013, 941, 8737, 609, 519, 948, 540, 4234, 515, 1210, 513, 5311, 540, 476, 3199, 267, 476, 1911, 267, 476, 6344, 267, 476, 5611, 267, 476, 1220, 267, 476, 6110, 267, 476, 7785, 27497, 5070, 1957, 269, 645, 529, 14092, 23359, 12432, 2861, 1008, 29850, 29260, 2326, 616, 11543, 538, 8560, 267, 1317, 540, 741, 7047, 16466, 6765, 1062, 269, 901, 7006, 839, 776, 1505, 568, 10375, 267, 2636, 585, 513, 811, 4977, 543, 5812, 3575, 267, 543, 7551, 10607, 922, 2168, 543, 7344, 3601, 269, 645, 529, 14092, 23359, 12432, 568, 1114, 689, 8715, 659, 787, 17218, 759, 1231, 269, 898, 568, 2147, 547, 12432, 29260, 2326, 1317, 621, 568, 1500, 540, 20312, 14092, 787, 331, 18300, 543, 22803, 6445, 619, 269, 1240, 454, 6097, 547, 10672, 5528, 267, 519, 18300, 1062, 568, 519, 5214, 5119, 538, 799, 824, 3334, 616, 24797, 610, 15702, 269, 898, 5161, 540, 1395, 12002, 543, 666, 581, 12249, 1242, 269, 634, 6445, 518, 1062, 5161, 540, 15768, 5536, 602, 616, 24797, 538, 519, 18300, 1062, 269, 12025, 2039, 540, 519, 6445, 619, 9775, 689, 5386, 5536, 630, 271, 269, 276, 1700, 274, 32755, 264, 547, 29370, 710, 5536, 630, 271, 269, 6860, 1700, 271, 269, 273, 32755, 1040, 3487, 2873, 540, 1114, 7306, 543, 5546, 616, 3006, 20762, 547, 3489, 5551, 3601, 269, 674, 14525, 5536, 616, 2627, 5701, 630, 3682, 31184, 10001, 1040, 7843, 335, 1993, 527, 568, 7768, 540, 513, 7848, 540, 8715, 659, 23359, 759, 1231, 543, 3623, 2033, 2389, 8972, 4837, 609, 18559, 16736, 6927, 543, 23416, 269, 898, 568, 513, 1079, 12268, 3490, 11305, 520, 3315, 560, 267, 3678, 1460, 267, 1582, 2275, 1005, 543, 645, 3722, 2861, 1008, 29850, 11808, 1570, 269, 866, 454, 306, 16577, 11315, 1145, 568, 606, 1271, 4183, 2404, 609, 6915, 28291, 5250, 269, 14780, 4564, 2627, 11315, 1145, 269, 14780, 2418, 941, 2282, 476, 271, 269, 273, 32755, 267, 799, 666, 581, 2808, 607, 11630, 547, 2890, 6716, 1143, 17091, 269, 634, 15013, 941, 16271, 547, 606, 3355, 2627, 11315, 1145, 1449, 630, 26244, 1107, 32755, 1040, 1452, 941, 1287, 8737, 609, 476, 5611, 547, 476, 7785, 27497, 28890, 5070, 17549, 896, 13576, 1216, 630, 288, 1886, 565, 661, 269, 589, 4710, 322, 267, 9501, 267, 8478, 264, 693, 513, 3044, 3432, 540, 476, 4968, 678, 10975, 2394, 789, 6603, 513, 11098, 540, 476, 274, 269, 271, 13008, 476, 272, 269, 271, 6515, 269, 2290, 540, 519, 7252, 729, 3684, 25509, 609, 533, 636, 823, 543, 1216, 267, 4553, 676, 627, 1746, 1793, 25744, 609, 1135, 5109, 12308, 338, 630, 935, 14846, 610, 3044, 1135, 5109, 264, 543, 519, 824, 2427, 729, 25509, 609, 2027, 4388, 630, 307, 1815, 10378, 267, 590, 14244, 6754, 334, 267, 8478, 1040, 634, 15013, 941, 1287, 6027, 609, 513, 9043, 11281, 630, 300, 26623, 1195, 334, 10378, 1107, 5080, 325, 4530, 476, 22145, 264, 26215, 730, 585, 513, 476, 271, 269, 1839, 6515, 3732, 2627, 269, 634, 11315, 1145, 540, 1142, 19494, 729, 6027, 7466, 543, 519, 1611, 1871, 6592, 269, 277, 454, 763, 1699, 1353, 11117, 543, 3379, 519, 2627, 11315, 1145, 1063, 1614, 1008, 29850, 2326, 630, 3682, 31184, 267, 7843, 335, 1993, 527, 267, 543, 667, 18444, 1040, 17183, 11315, 1145, 540, 5019, 11391, 1611, 1871, 729, 476, 271, 269, 272, 32755, 267, 7843, 335, 1993, 527, 1611, 1871, 729, 476, 271, 269, 274, 32755, 267, 543, 667, 18444, 1611, 1871, 729, 476, 271, 269, 279, 32755, 269, 634, 30654, 1449, 729, 1031, 547, 2638, 2627, 11315, 1145, 282, 533, 17032, 729, 5833, 630, 335, 2999, 476, 271, 269, 9826, 1040, 11778, 941, 3810, 1713, 269, 5019, 11391, 1185, 1447, 2627, 11315, 1145, 4553, 676, 7843, 335, 1993, 527, 543, 667, 18444, 563, 306, 16577, 11315, 1145, 5540, 519, 3355, 28455, 540, 2281, 855, 4667, 4830, 540, 9190, 13250, 2899, 3355, 28455, 814, 3144, 1747, 269, 2060, 2463, 547, 15799, 6604, 267, 476, 271, 269, 273, 32755, 14780, 1058, 581, 6098, 585, 7252, 540, 5959, 1964, 32590, 269, 654, 28126, 543, 661, 1868, 4080, 602, 15799, 13250, 4386, 593, 12432, 15013, 609, 513, 2627, 11315, 1145, 540, 476, 271, 269, 278, 547, 476, 272, 269, 4510, 32755, 269, 736, 5221, 519, 14780, 2418, 5833, 676, 2582, 25686, 18138, 538, 713, 1353, 24132, 1657, 476, 271, 269, 273, 32755, 267, 713, 2241, 5650, 666, 1152, 581, 20582, 585, 2110, 3856, 267, 954, 574, 1964, 32590, 269, 2641, 454, 21930, 1696, 620, 1704, 3379, 20312, 14092, 787, 331, 543, 6751, 7246, 2326, 538, 2474, 540, 29473, 2424, 267, 26048, 267, 8589, 535, 23474, 267, 543, 9096, 269, 1280, 1312, 18751, 543, 17911, 4522, 267, 789, 1336, 519, 20312, 14092, 787, 331, 2326, 3648, 9120, 547, 6751, 7246, 538, 782, 6688, 543, 1851, 519, 1585, 2326, 267, 2090, 723, 5342, 602, 5019, 11391, 10001, 568, 1034, 2681, 7123, 543, 609, 9120, 7344, 543, 2168, 3601, 269, 2420, 454, 763, 1699, 1353, 5342, 729, 849, 1759, 593, 11188, 13920, 4470, 2390, 22405, 540, 2627, 1858, 543, 1297, 540, 22405, 538, 1142, 1008, 29850, 1570, 3379, 609, 519, 11188, 13920, 540, 2627, 1858, 543, 1297, 540, 22405, 1063, 1008, 29850, 2326, 630, 3682, 31184, 267, 7843, 335, 1993, 527, 267, 667, 18444, 1040, 1677, 7520, 519, 11188, 13920, 13220, 267, 519, 15013, 941, 27153, 538, 20004, 585, 476, 273, 3108, 269, 3973, 15013, 941, 32092, 539, 538, 4881, 1216, 585, 476, 1015, 7643, 267, 12015, 609, 519, 948, 540, 513, 5160, 1957, 269, 634, 1297, 540, 22405, 538, 1142, 1858, 729, 5462, 609, 519, 948, 540, 8305, 558, 2222, 2675, 2100, 630, 302, 9805, 639, 590, 313, 311, 476, 1321, 30677, 3213, 269, 13456, 267, 3567, 264, 609, 3172, 2305, 476, 272, 9943, 476, 2004, 9943, 2059, 609, 2558, 514, 22811, 476, 274, 932, 760, 595, 7374, 8254, 2059, 609, 3301, 630, 3682, 13548, 2079, 264, 547, 2638, 519, 11188, 13920, 540, 1614, 1114, 1008, 29850, 29260, 2326, 630, 7894, 296, 267, 5019, 11391, 267, 543, 7843, 335, 1993, 527, 1040, 634, 30654, 1449, 729, 1031, 547, 2638, 2627, 1858, 540, 11188, 13920, 538, 1142, 1008, 29850, 1570, 269, 11778, 941, 6592, 269, 6399, 2627, 1858, 540, 667, 18444, 1871, 729, 476, 271, 269, 16573, 271, 267, 1611, 2627, 1858, 540, 7843, 335, 1993, 527, 1871, 729, 476, 271, 269, 9826, 272, 267, 1611, 2627, 1858, 540, 5019, 11391, 1871, 729, 476, 271, 269, 9826, 273, 282, 533, 17032, 729, 5833, 282, 533, 815, 476, 271, 269, 275, 2764, 630, 2254, 1713, 1040, 9747, 267, 2164, 941, 711, 1713, 630, 307, 11391, 1993, 527, 3436, 5019, 11391, 3436, 667, 18444, 1916, 303, 528, 13920, 814, 1044, 11911, 547, 513, 3099, 540, 2188, 602, 1331, 519, 1739, 281, 5794, 1303, 1905, 618, 1282, 11544, 267, 1395, 9593, 19432, 1282, 519, 12249, 1436, 267, 1395, 9593, 11517, 1436, 2404, 609, 608, 1278, 6193, 5114, 267, 519, 4527, 540, 15895, 1395, 9593, 267, 543, 13385, 11544, 540, 1395, 9593, 543, 12249, 12282, 518, 565, 574, 990, 1696, 620, 4080, 602, 12136, 540, 11188, 13920, 568, 8200, 593, 519, 5834, 540, 519, 4384, 1807, 267, 3622, 22904, 1195, 331, 25681, 538, 519, 12249, 269, 2537, 13689, 593, 519, 2175, 540, 12249, 1436, 267, 476, 1556, 260, 11188, 657, 885, 723, 1044, 2404, 609, 8519, 7344, 3601, 267, 4057, 1609, 12060, 267, 3771, 321, 1681, 540, 7103, 267, 543, 5714, 12802, 269, 30677, 17209, 729, 1031, 547, 8495, 2627, 11188, 657, 885, 538, 782, 519, 5439, 269, 1306, 829, 519, 3332, 2139, 267, 713, 6293, 568, 1373, 1031, 585, 519, 1101, 942, 547, 2268, 519, 11188, 13920, 269, 898, 568, 513, 6325, 1505, 540, 7893, 1858, 540, 2627, 22405, 269, 5800, 542, 540, 519, 3732, 1373, 1085, 10165, 568, 10268, 593, 519, 2780, 609, 519, 948, 540, 3301, 543, 2627, 1858, 540, 22405, 1223, 581, 7229, 269, 279, 1879, 2627, 11315, 1145, 543, 11188, 13920, 941, 3379, 1851, 5019, 11391, 267, 7843, 335, 1993, 527, 267, 543, 667, 18444, 1570, 267, 519, 1655, 2164, 941, 5833, 609, 519, 946, 540, 5019, 11391, 1570, 267, 799, 1185, 3254, 519, 2547, 1297, 540, 11188, 657, 885, 543, 8766, 2627, 11315, 1145, 4553, 676, 7843, 335, 1993, 527, 543, 667, 18444, 563, 306, 16577, 11315, 1145, 543, 11188, 13920, 941, 3379, 1851, 5019, 11391, 267, 7843, 335, 1993, 527, 267, 543, 667, 18444, 1570, 282, 519, 1655, 2164, 941, 5833, 609, 519, 946, 540, 5019, 11391, 1570, 267, 799, 1185, 3254, 519, 2547, 1297, 540, 11188, 657, 885, 543, 8766, 2627, 11315, 1145, 4553, 676, 7843, 335, 1993, 527, 543, 667, 18444, 269, 9747, 1721, 628, 267, 621, 666, 581, 11943, 602, 1851, 519, 1614, 7318, 2326, 267, 5019, 11391, 729, 519, 1655, 1570, 799, 666, 581, 1031, 585, 1008, 29850, 1964, 32590, 269, 0, 24993, 2201, 281, 476, 2767, 268, 6187, 268, 1708, 273, 454, 7476, 8382, 547, 1022, 2243, 267, 1175, 4945, 513, 8666, 543, 14202, 519, 8666, 543, 1205, 519, 2626, 4625, 1863, 2676, 308, 12195, 302, 4696, 11682, 5588, 302, 6730, 717, 4953, 5990, 4888, 14684, 2207, 715, 8582, 2336, 9223, 19672, 11489, 476, 6021, 270, 5400, 270, 1708, 273, 454, 347, 6637, 8745, 1475, 7468, 514, 3321, 2986, 769, 615, 13330, 1656, 7352, 566, 2008, 347, 20428, 1475, 289, 5735, 630, 3467, 5999, 10245, 347, 13911, 540, 8382, 1475, 21581, 2008, 1103, 11473, 910, 2296, 1103, 7956, 910, 2296, 454, 347, 10743, 20242, 3481, 1475, 276, 269, 279, 918, 1341, 2008, 347, 10743, 700, 27419, 1475, 10695, 1341, 2008, 347, 9223, 11473, 30991, 1475, 272, 332 ]

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

[ 3902, 786, 979, 1524, 543, 519, 7274, 786, 4473, 269, 0, 763, 1297, 540, 11460, 540, 678, 454, 19477, 3144, 689, 562, 3982, 3688, 269, 11352, 540, 454, 1551, 1052, 618, 568, 1271, 538, 32089, 563, 303, 3799, 267, 678, 264, 815, 562, 256, 14370, 333, 8573, 264, 2336, 1692, 1082, 1614, 4484, 1913, 666, 581, 4646, 676, 1210, 519, 454, 288, 267, 645, 267, 595, 267, 667, 267, 661, 286, 3962, 4484, 1590, 581, 1031, 2899, 563, 276, 256, 14370, 276, 268, 274, 25631, 815, 476, 2568, 454, 27398, 267, 8028, 289, 267, 645, 3722, 267, 7460, 288, 267, 595, 5723, 2676, 290, 10621, 616, 782, 1114, 1913, 4352, 519, 1482, 5022, 616, 454, 4310, 269, 4475, 782, 540, 519, 1913, 1058, 581, 2808, 563, 3198, 30862, 2207, 654, 17751, 9215, 25663, 12717, 24199, 454, 4754, 581, 6074, 538, 476, 276, 2081, 454, 13553, 4484, 666, 581, 6074, 538, 476, 275, 2081, 454, 23612, 4484, 666, 581, 6074, 538, 476, 274, 2081, 454, 276, 1535, 476, 275, 1535, 476, 274, 815, 476, 2568, 2081, 454, 763, 1297, 540, 5542, 540, 678, 454, 19477, 3144, 689, 562, 3982, 3688, 269, 11352, 540, 5542, 454, 529, 711, 1271, 538, 4999, 563, 1692, 1082, 2081, 666, 513, 1614, 4759, 12233, 581, 1305, 909, 676, 519, 454, 11825, 976, 540, 589, 267, 645, 267, 595, 267, 667, 267, 661, 888, 288, 585, 12891, 2917, 454, 289, 585, 15952, 517, 454, 290, 585, 8349, 454, 291, 585, 12253, 454, 292, 585, 14667, 454, 276, 24425, 27007, 276, 268, 274, 25631, 476, 274, 256, 316, 815, 476, 1015, 454, 8333, 527, 6590, 9967, 540, 13235, 267, 8028, 289, 267, 645, 3722, 267, 7460, 288, 267, 595, 5723, 267, 595, 10621, 616, 782, 454, 1492, 1482, 585, 519, 4999, 269, 4475, 267, 1152, 835, 786, 0, 14630, 281, 476, 2767, 4119, 476, 1960, 277, 454, 296, 4312, 5206, 918, 14818, 1210, 606, 2599, 2147, 547, 519, 835, 602, 1775, 4312, 1031, 585, 519, 918, 23871, 20190, 813, 2280, 563, 303, 17123, 540, 713, 813, 2280, 568, 547, 1683, 513, 1507, 543, 2653, 547, 946, 1062, 585, 2870, 4255, 269, 10705, 267, 2542, 930, 17476, 630, 514, 1300, 9567, 541, 2021, 781, 17476, 264, 972, 616, 513, 2603, 540, 4255, 267, 602, 616, 1031, 547, 1732, 917, 5128, 610, 930, 3344, 540, 519, 7209, 630, 663, 1775, 723, 547, 2161, 602, 7363, 616, 29749, 1862, 994, 2690, 1210, 713, 813, 2280, 596, 991, 547, 1711, 476, 273, 1114, 6119, 585, 1142, 1449, 267, 1312, 609, 519, 1482, 2012, 630, 8117, 1114, 970, 1549, 1916, 11372, 559, 4833, 1797, 602, 952, 596, 946, 1776, 1893, 10747, 606, 5007, 1893, 3758, 269, 8437, 28313, 547, 1294, 519, 621, 6501, 1383, 563, 268, 570, 12239, 630, 16344, 17575, 6745, 560, 994, 268, 713, 3758, 3568, 782, 519, 2055, 543, 519, 2626, 269, 8437, 28313, 547, 1294, 606, 1383, 269, 2353, 519, 2055, 616, 6825, 609, 519, 1627, 265, 4191, 269, 634, 4267, 666, 581, 476, 273, 547, 476, 276, 543, 1354, 1142, 540, 873, 596, 1590, 1683, 513, 10230, 1871, 585, 12719, 519, 3803, 6060, 269, 2991, 1142, 2243, 630, 5976, 1644, 4267, 264, 972, 1590, 581, 513, 1899, 5627, 834, 19203, 257, 630, 22764, 14263, 1129, 1916, 268, 19419, 303, 2177, 10345, 630, 16344, 17575, 269, 1206, 337, 994, 268, 713, 3758, 3568, 519, 6114, 269, 8437, 28313, 547, 1294, 606, 1383, 269, 634, 6114, 616, 1759, 593, 513, 2039, 540, 2418, 269, 634, 10325, 1590, 581, 912, 305, 3198, 12283, 630, 11034, 513, 1007, 2039, 994, 300, 2562, 281, 1871, 630, 1492, 5934, 1871, 585, 713, 2039, 269, 8537, 994, 7246, 311, 281, 1871, 630, 1492, 5021, 1871, 585, 713, 2039, 269, 8537, 994, 305, 2464, 303, 2177, 10345, 630, 11034, 3210, 1257, 994, 3667, 540, 3210, 4429, 6011, 1082, 3515, 596, 899, 454, 31756, 3092, 18679, 2894, 11403, 3198, 12283, 630, 754, 540, 519, 2039, 994, 13828, 2055, 543, 4267, 616, 711, 695, 4428, 1194, 630, 3697, 538, 918, 23871, 20190, 1070, 543, 596, 666, 7696, 1447, 4267, 982, 476, 276, 630, 514, 918, 23871, 20190, 4267, 1590, 2141, 581, 476, 276, 1040, 1879, 596, 8737, 519, 1449, 630, 663, 1152, 952, 596, 2285, 782, 519, 4267, 264, 519, 813, 2280, 2982, 519, 3210, 1759, 593, 519, 6060, 602, 519, 3593, 3893, 563, 10485, 30438, 5508, 5990, 6673, 303, 4041, 307, 454, 8923, 1683, 519, 2953, 2450, 547, 519, 813, 2280, 912, 283, 4338, 303, 4041, 307, 2910, 14701, 6889, 298, 14818, 257, 654, 2839, 8025, 284, 4335, 16777, 20846, 284, 23841, 285, 2483, 14818, 630, 16344, 17575, 267, 9949, 6889, 339, 3949, 7456, 560, 5602, 1607, 6724, 3568, 519, 2012, 540, 519, 3758, 602, 8638, 782, 519, 4255, 602, 3593, 666, 2119, 269, 634, 4255, 1590, 581, 17332, 835, 829, 1899, 267, 1510, 970, 1549, 269, 8437, 1934, 547, 1294, 606, 1383, 563, 23458, 630, 16344, 17575, 267, 1100, 9949, 994, 2252, 1031, 713, 9936, 1590, 3568, 519, 2012, 540, 513, 1893, 3758, 269, 8437, 1934, 547, 1294, 606, 1383, 540, 513, 1893, 3758, 630, 1388, 1014, 1040, 1403, 711, 1031, 9949, 1893, 630, 1263, 1501, 264, 568, 1031, 563, 2080, 568, 519, 11090, 1031, 585, 519, 1383, 1657, 912, 283, 4338, 303, 4041, 307, 2910, 14701, 6889, 298, 14818, 257, 654, 2839, 8025, 6889, 4335, 257, 16777, 20846, 6889, 23841, 22969, 2999, 303, 2752, 4456, 715, 28719, 6889, 339, 3949, 257, 966, 3201, 16604, 6889, 20779, 334, 7456, 560, 22969, 21742, 4338, 303, 4041, 307, 11417, 12988, 547, 813, 2280, 1592, 454, 15100, 1960, 277, 267, 5981, 834, 298, 1794, 6373, 257, 12275, 321, 1725, 10620, 0, 1892, 1769, 267, 1554, 267, 21765, 267, 21554, 282, 547, 21554, 267, 1332, 1769, 3248, 1892, 547, 22919, 9637, 563, 273, 269, 642, 269, 1677, 581, 610, 1831, 1769, 610, 1554, 267, 607, 538, 519, 6640, 282, 579, 320, 513, 334, 25697, 1093, 267, 519, 3781, 814, 1831, 1769, 269, 744, 8811, 269, 476, 1321, 281, 1240, 563, 274, 269, 1677, 25805, 267, 607, 689, 513, 5075, 610, 5326, 563, 275, 269, 1677, 2097, 547, 835, 781, 1318, 2247, 610, 1582, 1790, 1601, 11970, 563, 276, 269, 521, 269, 8752, 282, 1554, 267, 538, 11984, 689, 1093, 269, 3781, 269, 20943, 269, 476, 272, 281, 276, 269, 1280, 519, 1114, 5712, 540, 942, 998, 519, 3781, 267, 1294, 5487, 773, 1731, 269, 476, 1789, 563, 277, 269, 7755, 269, 2037, 2775, 2989, 282, 5483, 282, 25009, 282, 6140, 4448, 609, 14255, 879, 267, 607, 14255, 879, 7776, 267, 543, 2854, 607, 835, 2262, 563, 278, 269, 562, 269, 1022, 2186, 540, 513, 6531, 267, 1519, 30379, 375, 16230, 335, 7699, 267, 855, 4481, 267, 1164, 12269, 602, 950, 2842, 1532, 31500, 1085, 644, 2059, 630, 6390, 390, 375, 320, 1040, 32647, 912, 320, 758, 19476, 267, 4764, 6531, 267, 5134, 454, 7776, 3138, 320, 267, 1279, 6531, 282, 1164, 610, 11397, 6531, 2483, 7776, 30379, 375, 16230, 333, 2129, 328, 267, 6531, 609, 22774, 630, 390, 375, 16230, 333, 2129, 328, 264, 4778, 563, 320, 537, 2993, 267, 6109, 3512, 267, 6607, 267, 4544, 29256, 540, 13140, 563, 390, 375, 16230, 335, 7699, 267, 25858, 344, 12269, 267, 607, 4871, 539, 909, 2282, 519, 16880, 454, 335, 5953, 331, 5953, 332, 10394, 267, 533, 5953, 335, 15401, 10394, 267, 5394, 267, 10053, 267, 607, 12269, 454, 30298, 777, 7699, 390, 375, 320, 267, 12683, 540, 4996, 320, 390, 375, 320, 8975, 481, 267, 4871, 540, 12269, 2483, 279, 269, 562, 269, 6531, 267, 2489, 2165, 563, 280, 269, 521, 269, 589, 6531, 269, 623, 4157, 269, 476, 1691, 281, 866, 269, 589, 334, 533, 537, 2993, 267, 513, 4158, 6531, 269, 623, 4157, 269, 476, 1691, 281, 736, 269, 10878, 803, 320, 562, 3570, 1775, 1183, 513, 334, 269, 24319, 540, 12269, 269, 20855, 331, 269, 476, 1240, 281, 1691, 563, 1015, 269, 562, 269, 1158, 267, 3618, 267, 7706, 563, 1556, 269, 634, 1158, 269, 16199, 269, 476, 8660, 281, 1556, 269, 744, 1183, 513, 334, 683, 328, 267, 522, 1183, 807, 513, 334, 267, 713, 1158, 282, 522, 737, 11253, 513, 334, 267, 519, 2104, 1158, 282, 14255, 530, 1695, 328, 513, 334, 267, 31676, 4025, 269, 661, 6647, 269, 476, 272, 281, 274, 563, 1321, 269, 642, 339, 269, 547, 581, 6297, 267, 581, 2264, 267, 4585, 856, 563, 1724, 269, 1677, 5299, 519, 1383, 540, 1866, 269, 20855, 331, 269, 476, 1240, 281, 280, 269, 769, 519, 16122, 267, 552, 513, 334, 267, 1413, 856, 282, 4585, 282, 581, 593, 707, 9856, 282, 1491, 646, 539, 269, 594, 657, 269, 476, 2420, 281, 276, 563, 1691, 269, 10575, 663, 1858, 563, 1428, 269, 18986, 558, 269, 519, 3169, 3239, 540, 630, 2181, 1027, 539, 676, 513, 30379, 375, 324, 1916, 1626, 269, 562, 269, 513, 2186, 540, 5386, 1319, 563, 1704, 269, 562, 269, 513, 2186, 540, 3165, 630, 7224, 1239, 1916, 1240, 269, 1677, 4001, 282, 4051, 269, 700, 4157, 269, 476, 1556, 281, 272, 563, 866, 269, 1677, 679, 13097, 282, 4051, 538, 835, 781, 10279, 610, 2932, 269, 744, 8811, 330, 269, 476, 1015, 281, 1556, 563, 736, 269, 1677, 1065, 17311, 282, 1491, 646, 539, 282, 581, 2264, 282, 547, 24633, 269, 20943, 269, 476, 4029, 281, 2190, 563, 2641, 269, 1677, 5279, 14553, 563, 2420, 269, 1677, 1451, 547, 798, 513, 3364, 282, 547, 1451, 267, 547, 1353, 267, 607, 513, 1893, 282, 552, 14255, 737, 636, 340, 552, 267, 552, 513, 334, 522, 4157, 537, 1775, 25697, 522, 548, 5979, 16127, 267, 744, 3610, 267, 1353, 519, 22963, 1893, 563, 2537, 269, 11310, 282, 6044, 282, 1183, 513, 334, 16562, 267, 14985, 563, 2190, 269, 8752, 282, 4294, 547, 519, 1769, 25984, 540, 4195, 3762, 540, 2371, 610, 4054, 282, 519, 3039, 4195, 19512, 282, 513, 737, 1575, 340, 267, 513, 561, 879, 267, 513, 3138, 320, 267, 513, 513, 334, 267, 513, 18665, 334, 267, 513, 6010, 334, 282, 519, 1647, 610, 1007, 6978, 540, 2371, 282, 607, 267, 513, 334, 32748, 267, 513, 334, 737, 14900, 563, 1839, 269, 521, 269, 667, 3072, 737, 14900, 610, 12277, 630, 328, 269, 552, 1421, 737, 14900, 610, 12277, 19323, 543, 12015, 267, 264, 1031, 585, 1426, 563, 2918, 269, 7256, 1532, 1348, 610, 1022, 2182, 3694, 729, 1572, 513, 334, 676, 11316, 2103, 950, 789, 1101, 4718, 621, 563, 2767, 269, 1677, 2543, 609, 27527, 282, 547, 23491, 3248, 2764, 269, 642, 269, 5853, 1152, 538, 554, 5622, 1421, 8580, 269, 476, 274, 269, 1677, 15673, 282, 547, 2119, 282, 547, 6961, 269, 8355, 269, 476, 1321, 281, 1015, 563, 3066, 269, 1677, 2119, 835, 781, 2932, 610, 8516, 585, 513, 10279, 269, 700, 6064, 269, 476, 278, 281, 275, 563, 1789, 269, 1677, 2119, 282, 22368, 269, 20855, 331, 476, 275, 281, 4097, 563, 4029, 269, 1677, 2119, 547, 798, 513, 3364, 547, 23754, 2436, 621, 666, 581, 2944, 282, 552, 11876, 7776, 552, 513, 324, 522, 324, 544, 600, 7699, 513, 12103, 641, 641, 334, 267, 513, 538, 320, 12103, 641, 641, 334, 267, 620, 841, 320, 554, 3570, 267, 2119, 1101, 2436, 519, 3364, 568, 15164, 267, 952, 15164, 267, 1287, 798, 621, 563, 3953, 269, 1677, 2119, 282, 6492, 540, 269, 1775, 269, 552, 1421, 7985, 267, 607, 1928, 610, 2669, 269, 4223, 269, 476, 1626, 281, 1240, 269, 1677, 15673, 267, 607, 519, 10513, 13336, 269, 744, 8811, 269, 476, 276, 281, 280, 563, 3451, 269, 1677, 2119, 267, 1775, 269, 552, 1421, 547, 1071, 4725, 527, 1354, 7365, 563, 4097, 269, 1677, 8858, 610, 2259, 519, 695, 600, 6804, 2932, 540, 519, 28486, 607, 538, 5449, 2053, 563, 3374, 269, 521, 269, 3203, 1421, 25697, 269, 8745, 540, 513, 2249, 540, 6177, 269, 5487, 773, 1731, 269, 476, 3066, 563, 347, 22446, 1475, 288, 334, 30379, 375, 16230, 7032, 641, 1470, 13954, 21930, 6531, 8198, 347, 13466, 314, 288, 6531, 602, 14380, 689, 4262, 1377, 610, 2673, 547, 519, 6531, 8492, 543, 568, 607, 3043, 607, 9252, 269, 1879, 2938, 538, 918, 7431, 267, 11316, 390, 375, 328, 267, 713, 568, 513, 1129, 540, 4764, 20426, 2008, 347, 16348, 1475, 390, 375, 292, 5953, 256, 3223, 737, 879, 544, 2967, 683, 328, 1183, 513, 334, 3443, 641, 8457, 1775, 579, 6390, 269, 661, 579, 320, 544, 2967, 16562, 533, 21036 ]

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

[ 0, 19136, 4578, 568, 4742, 835, 540, 519, 1034, 14437, 827, 2029, 3466, 19951, 269, 634, 1483, 4161, 609, 519, 2462, 3919, 568, 547, 1205, 5021, 856, 540, 519, 1239, 2907, 2139, 543, 3589, 1018, 2186, 540, 1239, 547, 2445, 538, 519, 2104, 269, 1215, 547, 1491, 519, 4540, 1239, 543, 1118, 621, 6209, 602, 621, 2488, 721, 4977, 5813, 538, 519, 2250, 1239, 568, 835, 540, 519, 1883, 4901, 2798, 538, 1082, 540, 519, 10324, 11401, 538, 3906, 269, 2060, 519, 16411, 540, 519, 1239, 519, 4161, 814, 8854, 547, 519, 1985, 1377, 543, 1631, 513, 8262, 4578, 568, 4742, 519, 4641, 538, 1082, 3906, 563, 1103, 713, 476, 2641, 2395, 3126, 649, 786, 581, 3695, 1082, 1898, 3584, 1644, 547, 2462, 1239, 269, 769, 476, 2641, 2395, 267, 649, 786, 581, 8720, 1739, 3584, 538, 2653, 547, 1174, 1893, 563, 1892, 19425, 3538, 675, 540, 8262, 4578, 454, 1892, 19136, 4578, 513, 5004, 543, 23840, 454, 1892, 17843, 16370, 1107, 670, 5964, 641, 267, 10934, 516, 706, 576, 454, 1892, 18600, 2622, 22062, 725, 454, 28775, 621, 948, 256, 0, 8340, 811, 631, 842, 639, 14077, 543, 1332, 707, 3529, 676, 3695, 17542, 540, 3140, 5638, 269, 570, 2586, 1169, 8717, 2094, 476, 9692, 271, 267, 519, 772, 2529, 269, 8549, 17227, 666, 2995, 596, 513, 2603, 827, 707, 1920, 269, 1280, 1383, 267, 689, 476, 4350, 271, 547, 476, 3707, 271, 972, 941, 476, 1691, 1447, 1004, 3957, 631, 842, 639, 538, 519, 2136, 2276, 2443, 543, 930, 540, 873, 616, 2693, 1644, 547, 596, 563, 1432, 952, 596, 1185, 513, 6885, 883, 519, 1686, 540, 707, 1920, 286, 2060, 3140, 5638, 267, 596, 798, 269, 3245, 1753, 1272, 547, 4876, 267, 5638, 948, 3142, 707, 14077, 262, 2833, 883, 1445, 269, 1703, 941, 476, 11793, 1004, 3957, 631, 842, 639, 538, 519, 476, 4350, 271, 772, 2529, 269, 17227, 269, 769, 476, 3707, 271, 267, 972, 941, 476, 1724, 260, 1447, 1004, 3957, 631, 842, 639, 538, 519, 2136, 2276, 269, 1548, 729, 1272, 899, 585, 873, 888, 1103, 476, 3707, 271, 267, 476, 10844, 1004, 3957, 631, 842, 639, 941, 2713, 538, 519, 2136, 2276, 269, 769, 513, 25135, 14653, 912, 2026, 631, 842, 639, 3885, 4797, 547, 1332, 267, 789, 2451, 811, 13475, 593, 519, 4786, 281, 0, 1432, 616, 519, 476, 276, 5933, 540, 4729, 538, 10370, 9536, 773, 286, 608, 281, 29547, 11059, 267, 5695, 940, 8672, 267, 29725, 1314, 267, 12096, 532, 11059, 267, 1299, 10390, 454, 763, 2243, 19528, 519, 2947, 5933, 540, 4729, 282, 2705, 267, 594, 1131, 899, 547, 1448, 856, 602, 519, 2947, 5933, 540, 4729, 616, 3335, 1163, 3789, 267, 8375, 2962, 267, 6172, 1314, 267, 9991, 2962, 267, 543, 3932, 269, 634, 2243, 3085, 1405, 1331, 1163, 3789, 269, 5502, 267, 621, 2882, 834, 339, 9506, 1448, 1701, 634, 7432, 1448, 568, 1419, 24190, 585, 6172, 1314, 563, 763, 1163, 3789, 540, 513, 1650, 568, 519, 1650, 781, 4367, 269, 898, 12857, 2101, 3197, 543, 4259, 269, 769, 10370, 9536, 773, 267, 3988, 616, 5189, 547, 10370, 9536, 773, 1318, 2476, 269, 1284, 1294, 1200, 21108, 1200, 1920, 543, 1200, 1753, 689, 606, 22679, 529, 1438, 7703, 269, 634, 1650, 781, 1163, 3789, 1281, 513, 1390, 2816, 540, 6029, 3988, 602, 10370, 9536, 773, 568, 606, 11212, 2178, 3056, 1915, 269, 2701, 781, 12703, 543, 3833, 5827, 269, 1306, 585, 519, 4259, 267, 10370, 9536, 773, 2729, 538, 28599, 1282, 519, 11633, 7169, 563, 12179, 1650, 781, 8375, 2962, 568, 3622, 16922, 540, 811, 982, 513, 2582, 2680, 269, 2334, 781, 3020, 538, 10370, 9536, 773, 269, 1703, 616, 1082, 8375, 3527, 269, 10370, 9536, 773, 781, 1920, 23619, 519, 3484, 267, 543, 1352, 568, 7142, 547, 960, 693, 12338, 2401, 781, 570, 11232, 333, 269, 2701, 4991, 17991, 543, 16976, 547, 1831, 513, 12051, 8004, 269, 2701, 2337, 519, 31566, 1205, 13417, 3089, 269, 4495, 538, 8899, 749, 267, 1352, 4991, 513, 2816, 543, 568, 16397, 693, 519, 3432, 543, 6846, 540, 519, 6191, 269, 2701, 5555, 3587, 835, 540, 519, 12051, 781, 1283, 6721, 6690, 782, 1247, 535, 2056, 1055, 1200, 20148, 781, 4638, 8441, 269, 10370, 9536, 773, 4991, 13676, 1247, 593, 519, 2816, 267, 543, 1352, 568, 7142, 547, 5721, 1007, 2324, 6690, 563, 299, 344, 9536, 773, 781, 7555, 909, 547, 1200, 20148, 585, 519, 19160, 540, 1776, 8004, 538, 519, 12051, 568, 1018, 5012, 547, 519, 1650, 781, 6172, 1314, 269, 634, 6172, 1314, 568, 10370, 9536, 773, 7555, 909, 547, 6004, 269, 9370, 6577, 781, 4638, 8441, 4724, 1776, 12051, 8004, 543, 13604, 1373, 17991, 563, 763, 9991, 3527, 540, 713, 1880, 1650, 979, 3833, 3533, 269, 10370, 9536, 773, 568, 3109, 4289, 539, 689, 519, 15327, 267, 1352, 11564, 513, 19619, 540, 1004, 1519, 667, 10005, 543, 6004, 269, 9370, 6577, 269, 8921, 1352, 7024, 547, 28599, 1141, 1352, 568, 6069, 547, 676, 19279, 563, 763, 1650, 781, 3932, 568, 10370, 9536, 773, 781, 2626, 269, 2701, 1281, 711, 3858, 547, 19533, 1864, 1318, 2476, 267, 855, 1352, 1281, 1616, 1864, 547, 7227, 585, 1200, 269, 10370, 9536, 773, 781, 3119, 3804, 543, 1544, 568, 547, 979, 547, 2852, 269, 2701, 786, 1287, 2693, 2132, 1753, 547, 19533, 19279, 563, 763, 1163, 3789, 540, 513, 1650, 568, 519, 4098, 267, 1141, 519, 3197, 543, 4259, 616, 5189, 269, 769, 519, 4098, 540, 713, 1650, 267, 649, 2743, 519, 1292, 543, 2140, 1915, 10370, 9536, 773, 269, 10370, 9536, 773, 568, 513, 2178, 267, 8746, 4807, 855, 1200, 1920, 568, 1360, 4057, 543, 1352, 568, 711, 13473, 269, 634, 4259, 568, 519, 11633, 3345, 538, 519, 4571, 268, 866, 628, 2540, 267, 4352, 538, 519, 4098, 540, 519, 1650, 10370, 9536, 773, 568, 538, 28599, 563, 763, 8375, 2962, 540, 513, 1650, 568, 519, 2621, 602, 2253, 547, 635, 12393, 519, 4729, 269, 769, 713, 2013, 267, 10370, 9536, 773, 3762, 519, 3484, 543, 4422, 547, 519, 2462, 2749, 547, 960, 538, 513, 12051, 269, 1703, 1352, 16137, 875, 1919, 960, 543, 581, 325, 12188, 513, 12051, 11832, 267, 667, 10005, 717, 1601, 267, 945, 568, 606, 19191, 945, 6499, 547, 6963, 519, 12051, 547, 1205, 1732, 2324, 2175, 585, 519, 6690, 563, 763, 6172, 1314, 4386, 950, 10370, 9536, 773, 568, 17991, 689, 1200, 2816, 585, 7555, 909, 547, 1200, 20148, 269, 2701, 1281, 711, 1174, 1018, 646, 1797, 950, 646, 934, 4926, 1200, 540, 5837, 2881, 335, 3363, 630, 9404, 528, 1275, 1070, 865, 519, 2356, 535, 30711, 10370, 9536, 773, 3112, 9718, 9887, 269, 4595, 1352, 568, 711, 2016, 513, 15149, 540, 8956, 762, 11166, 267, 1352, 3112, 1205, 1776, 2816, 563, 1103, 519, 9991, 2962, 267, 10370, 9536, 773, 16137, 519, 2495, 540, 5837, 2881, 335, 3363, 543, 568, 27337, 1881, 269, 2701, 15359, 1206, 1200, 2025, 20148, 543, 5654, 909, 1200, 2025, 3659, 667, 10005, 717, 1601, 267, 855, 1352, 6104, 8460, 4986, 865, 1352, 7024, 1753, 547, 28599, 632, 915, 539, 563, 763, 6571, 4386, 950, 10370, 9536, 773, 7024, 1753, 543, 12034, 19279, 267, 606, 2025, 3659, 269, 2701, 6645, 1864, 1352, 568, 4058, 547, 979, 547, 2852, 269, 2701, 849, 4566, 547, 19533, 1864, 269, 0, 21790, 6888, 769, 4065, 454, 763, 5272, 4132, 28202, 1161, 8750, 6770, 11009, 543, 824, 2247, 23073, 2853, 547, 1453, 563, 21790, 6888, 585, 11334, 1107, 5049, 6035, 585, 3610, 267, 1129, 909, 593, 1367, 610, 1895, 4493, 693, 519, 11009, 4099, 454, 21790, 995, 11819, 4825, 805, 1107, 15964, 540, 11009, 585, 3610, 547, 1451, 11009, 2553, 454, 21790, 995, 6184, 16291, 1107, 634, 11009, 4099, 4648, 786, 2097, 547, 707, 1153, 547, 5721, 707, 3610, 1282, 606, 1202, 16291, 610, 3318, 1554, 563, 21790, 995, 4841, 910, 634, 11009, 4099, 786, 2097, 547, 596, 1153, 547, 1683, 11009, 5049, 610, 2866, 547, 707, 1053, 454, 10403, 476, 276, 1295, 11461, 9066, 10916, 1107, 4647, 519, 1863, 10916, 547, 946, 538, 707, 4928, 454, 3963, 11009, 585, 3610, 888, 22826, 568, 835, 540, 519, 1034, 14785, 6009, 593, 519, 4541, 855, 621, 568, 849, 835, 540, 519, 1034, 17173, 269, 11334, 616, 711, 1152, 3743, 585, 519, 4058, 267, 11056, 543, 6268, 540, 741, 1378, 960, 267, 789, 616, 849, 4371, 18177, 585, 519, 2298, 267, 2773, 267, 543, 3811, 11050, 4093, 540, 2875, 1565, 563, 763, 7569, 540, 519, 4928, 543, 519, 2699, 18249, 1909, 540, 519, 476, 2641, 588, 2540, 4116, 616, 971, 602, 12503, 23995, 816, 832, 616, 11999, 543, 2479, 1790, 6974, 269, 30451, 3068, 1713, 2157, 540, 2566, 607, 789, 2119, 547, 1265, 519, 942, 1282, 519, 1153, 1554, 547, 3666, 3450, 267, 13508, 267, 15737, 267, 21249, 267, 9015, 267, 5234, 4058, 267, 10319, 4058, 267, 11401, 267, 2385, 2792, 267, 3092, 563, 302, 3200, 830, 4116, 2566, 666, 1291, 547, 912, 268, 11819, 25794, 454, 268, 16508, 25874, 454, 268, 21561, 538, 2566, 1644, 10108, 454, 268, 17520, 543, 4965, 454, 268, 769, 324, 8997, 4116, 2773, 454, 268, 18648, 2875, 3347, 454, 268, 4400, 4116, 24826, 454, 763, 13533, 4116, 13123, 519, 7934, 1063, 519, 6612, 602, 11479, 835, 547, 4001, 609, 519, 1995, 2556, 547, 11654, 513, 16135, 267, 14156, 543, 6457, 1302, 7524, 1995, 9624, 519, 2591, 540, 519, 2029, 12454, 267, 11451, 4448, 13460, 540, 2221, 543, 14182, 269, 634, 13533, 4116, 568, 1447, 5114, 776, 543, 811, 8049, 543, 22679, 529, 1438, 1282, 17173, 610, 703, 28424, 4928, 2833, 269, 901, 538, 2490, 267, 5932, 543, 8992, 811, 2318, 267, 1447, 13720, 1049, 4205, 609, 1053, 607, 1134, 607, 513, 811, 9350, 543, 12560, 4928, 1604, 269, 9650, 995, 3610, 616, 2111, 547, 18663, 543, 8300, 741, 1053, 267, 2743, 543, 9765, 6788, 538, 519, 4928, 267, 543, 616, 811, 2693, 547, 2936, 1713, 543, 9434, 1689, 602, 5688, 3278, 3450, 543, 1565, 269, 1358, 1118, 606, 967, 529, 1584, 762, 3017, 593, 7607, 543, 5876, 538, 519, 2729, 540, 741, 1053, 269, 9650, 995, 3610, 616, 849, 1732, 5423, 547, 6023, 519, 2479, 1790, 6974, 2591, 540, 3232, 17163, 2566, 543, 4928, 2359, 563, 22025, 1113, 2164, 540, 13533, 3610, 912, 268, 8682, 4656, 543, 1582, 1416, 454, 268, 15474, 12003, 2994, 543, 6043, 454, 268, 14451, 2298, 540, 6044, 267, 6278, 543, 1565, 454, 268, 21561, 538, 4116, 3929, 1134, 5630, 543, 8112, 454, 268, 10815, 19535, 9015, 543, 4928, 2359, 454, 268, 674, 2120, 4928, 543, 4116, 6051, 689, 17173, 7933, 626, 7675, 4205, 454, 268, 2859, 11215, 4928, 1604, 454, 268, 20865, 6947, 543, 8343, 1983, 454, 268, 16842, 9316, 543, 5790, 540, 2324, 1927, 4116, 547, 4116, 543, 4116, 547, 2875, 454, 268, 26094, 538, 2875, 2623, 607, 513, 1267, 540, 2318, 4116, 6278, 454, 268, 15474, 4081, 4882, 3469, 270, 655, 10899, 5867, 538, 1931, 547, 2232, 1367, 2875, 2115, 454, 268, 20865, 2123, 4485, 547, 1225, 14152, 4058, 270, 574, 921, 7695, 454, 268, 2859, 2500, 2792, 609, 1053, 267, 3237, 543, 1153, 2647, 2146, 454, 305, 3996, 518, 267, 681, 1421, 5576, 517, 1068, 268, 3725, 747, 331, 267, 918, 1421, 808, 3873, 267, 589, 1421, 595, 1638, 523, 267, 631, 1421, 28615, 267, 700, 1421, 12070, 839, 5652, 267, 681, 1421, 1299, 3267, 26858, 267, 808, 269, 630, 1001, 274, 1040, 24238, 9751, 543, 11087, 2388, 538, 11819, 13262, 543, 22210, 719, 281, 11778, 689, 5565, 15932, 1242, 267, 27016, 4289, 268, 6513, 12197, 2558, 10118, 269, 4750, 2986, 12409, 10017, 267, 476, 10755, 263, 274, 1070, 476, 4281, 278, 268, 476, 3199, 275, 563, 4537, 777, 10098, 267, 590, 1421, 1234, 577, 1206, 577, 3530, 523, 267, 667, 1421, 1299, 632, 590, 748, 320, 267, 590, 269, 630, 1001, 277, 1040, 24238, 2866, 585, 3610, 269, 769, 918, 269, 589, 269, 5576, 517, 1068, 268, 3725, 747, 331, 267, 681, 269, 654, 269, 681, 3996, 518, 267, 918, 269, 589, 269, 5576, 517, 1068, 268, 3725, 747, 331, 267, 681, 269, 654, 269, 681, 3996, 518, 630, 32295, 4700, 2073, 18361, 540, 11009, 538, 2069, 281, 23889, 3069, 543, 1382, 883, 2259, 630, 653, 269, 476, 10695, 268, 9032, 1040, 1715, 3840, 267, 12924, 267, 2475, 281, 22219, 13305, 518, 25419, 14539, 269, 8222, 281, 1015, 269, 1911, 278, 270, 7818, 268, 272, 268, 476, 5392, 274, 280, 268, 12573, 277, 268, 476, 273, 318, 277, 454, 306, 7219 ]

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

[ 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15404, 32093, 3494, 1360, 9244, 538, 519, 17071, 640, 540, 2021, 267, 543, 789, 1491, 1169, 4316, 547, 6961, 621, 563, 1607, 2985, 3568, 3377, 543, 16555, 827, 865, 10777, 834, 327, 517, 528, 6146, 902, 257, 543, 824, 2081, 602, 5771, 13000, 454, 342, 1580, 899, 13184, 269, 1452, 13685, 2049, 538, 519, 772, 2529, 1421, 4516, 543, 4789, 267, 2943, 519, 1390, 15594, 454, 548, 19470, 2443, 519, 10800, 1841, 256, 2443, 616, 782, 11207, 14980, 269, 2290, 1131, 1589, 602, 519, 8706, 1235, 454, 30524, 723, 519, 10978, 652, 9739, 538, 1489, 540, 513, 2112, 602, 4547, 9111, 547, 12925, 543, 4847, 2021, 547, 8917, 2443, 543, 454, 326, 597, 3149, 547, 7390, 1153, 2443, 585, 519, 1101, 942, 269, 4634, 538, 513, 942, 540, 3448, 4708, 267, 519, 11173, 454, 335, 15462, 540, 834, 327, 517, 528, 11318, 257, 568, 711, 1945, 547, 1832, 9602, 827, 563, 293, 19691, 540, 5375, 12339, 24452, 1879, 898, 781, 4107, 10261, 539, 269, 2201, 8734, 269, 476, 1839, 267, 519, 2136, 8315, 454, 8181, 7007, 922, 5993, 590, 4869, 8696, 17963, 540, 6820, 2920, 13659, 18830, 13834, 15369, 20222, 1996, 2021, 454, 663, 6690, 269, 901, 786, 3136, 2394, 5463, 269, 476, 1015, 267, 799, 568, 5274, 7126, 4303, 269, 3733, 1004, 616, 454, 1492, 8706, 1235, 693, 519, 6167, 269, 1358, 849, 2212, 27013, 267, 19582, 23107, 693, 1336, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 1410, 4618, 12677, 2782, 645, 25114, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 6406, 12668, 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, 0, 645, 1329, 333, 2297, 543, 4139, 1401, 3031, 1431, 281, 589, 12213, 667, 633, 883, 26353, 16316, 338, 692, 1103, 519, 4207, 1148, 1158, 267, 536, 1329, 333, 2297, 543, 3486, 24218, 3180, 1713, 31449, 543, 3310, 269, 1452, 2621, 4196, 607, 1271, 5867, 585, 15386, 5969, 12967, 11247, 267, 5807, 2518, 7499, 5188, 267, 543, 5009, 3444, 14426, 5385, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 1523, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 1369, 519, 2796, 540, 26353, 3045, 1023, 267, 3695, 741, 1686, 267, 4162, 267, 1764, 267, 543, 4296, 547, 1699, 3466, 269, 1284, 786, 849, 1865, 875, 891, 2621, 1599, 607, 4244, 5624, 585, 7499, 4082, 3564, 2757, 9754, 5468, 267, 5373, 6667, 689, 519, 5545, 834, 691, 1788, 257, 7613, 5018, 538, 519, 4367, 780, 2414, 2253, 267, 1577, 721, 5581, 1018, 13054, 513, 536, 1329, 333, 1446, 543, 606, 3486, 14266, 269, 5637, 2474, 3277, 547, 1804, 8397, 13350, 1148, 2621, 267, 1419, 2921, 1747, 1169, 1079, 1296, 630, 321, 1329, 333, 658, 264, 610, 1614, 1296, 630, 28256, 27812, 1040, 1358, 3335, 4125, 3875, 10283, 2477, 267, 13686, 3309, 1568, 17364, 1585, 23447, 543, 6163, 267, 543, 4482, 8101, 9458, 543, 2565, 3007, 269, 1717, 267, 1247, 536, 1329, 333, 2297, 3622, 1445, 593, 4207, 1148, 2504, 267, 3486, 24218, 666, 7854, 6626, 3140, 5380, 610, 21044, 6212, 780, 30399, 267, 3486, 1163, 657, 1431, 971, 607, 519, 2622, 781, 674, 4202, 6039, 607, 840, 15479, 832, 547, 2413, 536, 1329, 333, 2297, 543, 3486, 24218, 269, 22073, 538, 519, 4571, 268, 866, 628, 2540, 267, 891, 4023, 338, 6322, 547, 4159, 6639, 7760, 267, 2686, 10781, 267, 543, 4853, 23258, 1851, 6082, 269, 3683, 942, 267, 5386, 6575, 3459, 547, 19582, 5051, 7986, 7158, 1369, 891, 1163, 657, 1431, 267, 5555, 3056, 547, 1796, 29671, 1148, 25700, 2621, 899, 519, 24131, 645, 1329, 333, 1446, 267, 799, 729, 3964, 538, 476, 6245, 276, 543, 3788, 835, 540, 519, 1034, 22644, 539, 536, 1329, 333, 2297, 11451, 780, 3080, 10747, 8984, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 568, 741, 8561, 593, 1225, 31247, 5075, 543, 6249, 1646, 269, 4354, 2209, 1404, 2629, 5107, 538, 5935, 1142, 2680, 781, 4287, 267, 8939, 5159, 543, 26620, 602, 13469, 609, 519, 6074, 4798, 610, 2152, 269, 901, 1935, 2636, 585, 811, 5059, 5717, 543, 14245, 3379, 547, 2757, 9754, 10525, 267, 7175, 8436, 547, 4497, 609, 1950, 2093, 543, 19929, 4478, 4207, 1148, 2259, 269, 3958, 267, 536, 1329, 333, 2297, 4749, 6451, 3135, 10391, 19698, 543, 1685, 894, 2609, 267, 2417, 23243, 2933, 689, 6671, 19922, 5468, 780, 5194, 8037, 2460, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 568, 741, 1909, 538, 14123, 2518, 7499, 5121, 543, 15377, 269, 1635, 8744, 1927, 5159, 267, 1225, 2209, 267, 13915, 267, 543, 19216, 689, 1472, 519, 1158, 267, 891, 2621, 6536, 6209, 7391, 543, 21769, 2066, 10923, 6302, 269, 5015, 267, 789, 1683, 3255, 585, 14758, 8153, 5159, 547, 2744, 4598, 543, 6284, 593, 606, 3486, 3942, 267, 7700, 547, 519, 29159, 540, 519, 2518, 1148, 6429, 780, 4913, 267, 621, 568, 1898, 547, 11760, 519, 1761, 19363, 2404, 609, 536, 1329, 333, 2297, 543, 3486, 24218, 269, 31379, 8044, 602, 891, 2621, 666, 28511, 16402, 1417, 878, 12886, 1813, 547, 741, 8129, 543, 4797, 17282, 676, 5375, 5238, 269, 5047, 267, 4145, 3823, 5010, 1436, 543, 4715, 12386, 1419, 8451, 267, 607, 13384, 11208, 9388, 543, 1164, 3491, 12803, 32398, 11044, 949, 31083, 20760, 519, 4890, 1148, 4843, 269, 11048, 267, 1082, 25696, 11441, 547, 2232, 891, 30852, 998, 8537, 5752, 267, 12581, 6041, 267, 543, 11826, 11407, 780, 307, 9506, 938, 3007, 1394, 547, 519, 5545, 834, 691, 1788, 257, 7613, 782, 24231, 547, 4505, 267, 649, 1265, 4277, 19320, 1063, 922, 31672, 543, 602, 540, 536, 1329, 333, 2297, 543, 3486, 24218, 269, 6145, 519, 5449, 267, 519, 8545, 849, 3343, 547, 16637, 2757, 9754, 32604, 267, 8508, 23349, 28503, 543, 2502, 609, 9962, 2950, 269, 1280, 3236, 267, 519, 661, 577, 15282, 6874, 8999, 926, 10222, 3317, 1446, 538, 3567, 3217, 1747, 538, 6917, 2127, 267, 13321, 14460, 8075, 267, 3506, 267, 543, 4610, 883, 10151, 26847, 543, 7317, 19698, 269, 6684, 267, 3561, 320, 267, 4371, 1169, 2947, 1296, 538, 918, 553, 1088, 267, 5125, 267, 814, 9450, 3564, 922, 3355, 4683, 4259, 267, 6220, 9205, 4609, 543, 1256, 5691, 4641, 2833, 538, 2487, 21820, 780, 3528, 6313, 536, 1329, 333, 2297, 543, 3486, 24218, 1369, 519, 5943, 540, 26353, 3045, 1023, 267, 649, 666, 1732, 1174, 741, 4644, 543, 7418, 547, 519, 3677, 1148, 5117, 269, 1306, 4244, 5624, 585, 3860, 17634, 543, 7214, 7521, 267, 891, 2621, 11349, 6422, 19929, 1851, 5159, 267, 1225, 2209, 267, 543, 9458, 5001, 1107, 19929, 602, 3136, 547, 11457, 7258, 13346, 8739, 27791, 8916, 543, 6932, 4066, 269, 3414, 13455, 6278, 609, 891, 5867, 267, 649, 1831, 3742, 5171, 538, 5935, 519, 2104, 24551, 540, 4207, 1148, 2259, 543, 7071, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30153, 3203, 18768, 538, 3778, 454, 30153, 3203, 18768, 538, 3778, 454, 763, 3483, 540, 713, 1557, 568, 547, 9691, 4983, 519, 1875, 2173, 5237, 2861, 1148, 1788, 538, 3567, 538, 513, 3140, 5133, 269, 634, 968, 691, 1788, 2223, 1634, 538, 5545, 607, 968, 5953, 1729, 533, 1755, 329, 2131, 19513, 892, 1765, 320, 6037, 28375, 540, 519, 2296, 1913, 1765, 13757, 27648, 513, 2101, 7121, 538, 3567, 779, 1148, 1158, 2094, 519, 476, 1960, 271, 338, 269, 634, 2165, 30109, 18575, 1148, 24218, 267, 855, 2882, 12644, 267, 11925, 267, 543, 1514, 2853, 602, 1491, 1747, 538, 5656, 824, 982, 15882, 610, 538, 519, 1930, 2011, 538, 519, 2749, 543, 24781, 269, 898, 6227, 513, 2647, 2039, 540, 4238, 689, 1804, 8397, 24218, 6896, 676, 2199, 6608, 547, 9793, 20695, 3785, 6896, 676, 1875, 17416, 3906, 547, 1507, 13355, 7376, 7341, 269, 4014, 930, 540, 873, 16937, 609, 3486, 1148, 536, 1329, 333, 10118, 543, 2468, 3317, 10118, 267, 1148, 3785, 616, 6140, 1970, 1532, 644, 1326, 2238, 602, 4183, 6469, 5159, 693, 1008, 29850, 28503, 585, 8097, 5301, 269, 1703, 723, 1044, 1906, 14046, 2090, 593, 519, 1283, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 1329, 333, 2297, 543, 4139, 1401, 3031, 1431, 257, 607, 851, 540, 834, 11286, 1315, 16316, 338, 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, 0, 8080, 547, 938, 3460, 998, 942, 607, 649, 2263, 519, 4241, 3778, 540, 13243, 256, 901, 3504, 2749, 814, 5129, 513, 1713, 1909, 538, 1082, 4529, 543, 10764, 2429, 1686, 269, 4653, 267, 1577, 781, 1445, 593, 922, 4276, 547, 5840, 543, 21157, 780, 5331, 1373, 513, 942, 2951, 518, 9683, 13243, 5215, 540, 1296, 3516, 282, 596, 1131, 1265, 1004, 8026, 1585, 4978, 267, 6340, 1114, 4654, 267, 543, 2713, 1927, 538, 713, 6909, 1747, 269, 10801, 1686, 267, 13243, 814, 1419, 1044, 693, 519, 4099, 540, 7526, 1813, 547, 922, 4644, 547, 1896, 10764, 899, 17194, 267, 8567, 267, 543, 5771, 269, 3776, 1650, 2221, 5956, 950, 13243, 2968, 519, 3854, 540, 519, 6014, 1533, 1572, 5840, 1472, 476, 1911, 271, 14514, 269, 4595, 1287, 267, 621, 6585, 2620, 3140, 543, 5289, 2956, 547, 7642, 5001, 780, 3086, 3728, 4464, 547, 811, 2487, 2053, 910, 827, 513, 4627, 1296, 3516, 269, 4438, 519, 2038, 476, 736, 628, 2540, 267, 13253, 8057, 1063, 6014, 11082, 945, 3357, 547, 7017, 538, 1018, 729, 1287, 1634, 607, 3703, 13495, 2218, 21157, 630, 1633, 18170, 676, 519, 5177, 264, 543, 519, 2199, 24752, 2551, 269, 1306, 891, 13882, 4797, 267, 1312, 2516, 5326, 339, 540, 2348, 741, 1378, 4182, 1141, 789, 1223, 2661, 25678, 2687, 547, 741, 5389, 543, 2418, 269, 10251, 267, 1142, 2427, 10645, 13243, 607, 741, 1318, 995, 3854, 267, 799, 3773, 4492, 547, 519, 3595, 780, 5475, 5756, 540, 4655, 267, 22195, 267, 16395, 267, 543, 10617, 267, 5840, 10294, 3294, 606, 4830, 2197, 538, 476, 3707, 279, 269, 1717, 267, 13114, 29562, 1705, 711, 5431, 713, 1007, 1533, 267, 3056, 547, 1256, 811, 8165, 1063, 873, 543, 5840, 529, 269, 3683, 942, 267, 15231, 2477, 3893, 3238, 1932, 267, 1818, 1919, 5051, 7294, 269, 16828, 267, 2694, 540, 13243, 941, 5258, 883, 1079, 10851, 1107, 835, 6417, 676, 5840, 543, 1776, 676, 16888, 269, 898, 7012, 1405, 2394, 476, 3422, 278, 602, 5840, 6591, 1852, 936, 519, 3003, 2749, 1282, 519, 14520, 28233, 2782, 1996, 5527, 267, 16888, 267, 543, 16850, 780, 7712, 1287, 267, 13243, 3788, 513, 29653, 2749, 269, 2755, 5840, 15109, 519, 2898, 2749, 607, 922, 3768, 22866, 3854, 267, 1034, 824, 6082, 1152, 11760, 4639, 13243, 607, 971, 1317, 540, 5571, 9840, 3823, 3486, 1876, 543, 2797, 26117, 269, 2201, 519, 824, 1688, 267, 13114, 29562, 1869, 29954, 790, 547, 3715, 5101, 13243, 607, 519, 3854, 540, 741, 2104, 1533, 780, 3086, 1934, 2501, 606, 4277, 2490, 540, 2621, 256, 21298, 267, 972, 723, 1044, 930, 2318, 2242, 8345, 1369, 519, 3148, 269, 1280, 3236, 267, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 1070, 2059, 609, 15840, 1778, 267, 28348, 3347, 609, 5840, 538, 5181, 476, 1708, 271, 269, 1452, 8978, 11650, 267, 3957, 519, 14062, 6452, 3581, 267, 2832, 547, 3895, 1732, 2792, 267, 5698, 267, 543, 1620, 1851, 891, 6082, 269, 962, 1515, 700, 777, 573, 267, 5840, 781, 1699, 14579, 10579, 267, 5063, 10272, 519, 32329, 547, 1930, 5840, 781, 2377, 29983, 538, 26512, 667, 4725, 328, 543, 931, 3634, 538, 29903, 1107, 519, 1101 ]

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

[ 4493, 267, 15691, 547, 17908, 10210, 619, 685, 22293, 540, 875, 513, 9583, 16434, 476, 277, 2600, 829, 3923, 7135, 883, 476, 1911, 2600, 829, 1032, 563, 5978, 1995, 609, 519, 29370, 12099, 3906, 649, 723, 11567, 547, 4266, 5267, 602, 891, 616, 1483, 2152, 602, 22881, 1058, 581, 3222, 540, 950, 16208, 1719, 2557, 1239, 563, 2414, 581, 2312, 267, 649, 1810, 1406, 1589, 12123, 513, 1164, 1719, 2557, 19752, 4636, 4777, 532, 593, 519, 851, 540, 513, 29370, 12099, 4871, 269, 4400, 1719, 3928, 949, 581, 519, 1655, 1259, 547, 7413, 9271, 543, 4196, 811, 1004, 267, 543, 7817, 7589, 693, 1164, 1719, 3928, 949, 581, 606, 13525, 602, 789, 616, 3478, 513, 3028, 789, 1871, 269, 1284, 1175, 1616, 547, 4063, 875, 11495, 519, 3017, 568, 1063, 519, 3355, 968, 322, 1243, 892, 1719, 2557, 22881, 1419, 5873, 827, 543, 519, 968, 324, 8997, 892, 1719, 2557, 2921, 782, 2188, 883, 2272, 563, 2171, 5063, 11117, 513, 29370, 12099, 9872, 630, 300, 293, 296, 264, 538, 5689, 25596, 267, 519, 12130, 1503, 15351, 7690, 267, 607, 851, 540, 938, 1184, 585, 26084, 513, 9886, 547, 606, 2804, 16882, 17493, 538, 4427, 25781, 4000, 269, 4706, 7150, 1719, 2557, 585, 922, 1034, 2442, 10211, 1826, 568, 476, 736, 9077, 855, 912, 268, 476, 736, 260, 568, 519, 2557, 936, 519, 1576, 540, 519, 476, 275, 18881, 10211, 269, 634, 968, 333, 558, 1400, 16316, 20587, 720, 15580, 630, 4338, 305, 264, 892, 630, 320, 1455, 1259, 540, 17548, 1719, 3928, 538, 13387, 2474, 543, 519, 2557, 799, 772, 2529, 269, 32225, 616, 2838, 547, 1683, 547, 10210, 619, 264, 540, 713, 10211, 267, 609, 1100, 824, 3790, 267, 1131, 4061, 581, 476, 2568, 18336, 268, 9314, 568, 7229, 607, 513, 6366, 2557, 269, 476, 736, 260, 540, 519, 2898, 10211, 2179, 568, 9901, 1142, 8569, 267, 3079, 540, 476, 736, 260, 540, 519, 6967, 10211, 3666, 269, 901, 1505, 12651, 519, 22194, 6673, 305, 689, 476, 2568, 260, 547, 476, 11152, 10065, 2201, 513, 1269, 1911, 10211, 540, 713, 1826, 267, 513, 10210, 518, 1131, 2628, 1269, 736, 538, 1719, 3379, 609, 1152, 1269, 1321, 269, 3199, 593, 513, 10211, 609, 19394, 3666, 1719, 563, 268, 9796, 906, 616, 1813, 1169, 1079, 4374, 267, 3079, 540, 1169, 3923, 267, 865, 602, 519, 1101, 8569, 568, 1813, 1152, 1079, 4374, 1310, 519, 10211, 568, 1500, 269, 10671, 3931, 476, 279, 11033, 3079, 540, 476, 275, 12651, 519, 22194, 6673, 305, 689, 476, 11152, 260, 547, 476, 9083, 18336, 268, 634, 12130, 1503, 15351, 7690, 3340, 10210, 619, 547, 3180, 476, 736, 260, 540, 519, 10211, 2179, 538, 513, 9806, 2272, 799, 3112, 581, 15600, 2394, 519, 10211, 568, 1065, 4660, 269, 2201, 513, 10211, 540, 1269, 1911, 267, 713, 10421, 6971, 519, 2500, 2450, 540, 519, 10211, 547, 1269, 3199, 267, 1247, 13302, 519, 2500, 2450, 540, 519, 2063, 8569, 1813, 676, 1269, 736, 630, 20357, 9806, 616, 1287, 3015, 1040, 634, 9806, 10421, 12651, 519, 6673, 305, 689, 476, 9083, 260, 547, 476, 14983, 18336, 268, 1488, 7666, 2406, 267, 519, 6673, 305, 1031, 1657, 630, 328, 4318, 269, 519, 968, 333, 558, 1400, 6673, 305, 14615, 896, 560, 919, 519, 1719, 2557, 1004, 616, 9878, 1317, 621, 1281, 711, 1491, 883, 2272, 519, 7623, 1871, 540, 1719, 269, 630, 310, 7364, 779, 7127, 593, 6673, 305, 814, 513, 4901, 540, 519, 4143, 2152, 4700, 2311, 5266, 1970, 1719, 3928, 267, 971, 607, 519, 1719, 3928, 649, 2461, 1031, 547, 538, 519, 772, 2529, 1421, 519, 968, 333, 558, 1400, 6673, 305, 892, 630, 6343, 568, 2356, 4080, 264, 543, 519, 968, 324, 8997, 6673, 305, 892, 630, 1492, 968, 3901, 3012, 1227, 3020, 892, 1719, 2557, 264, 616, 2356, 1360, 2673, 547, 1142, 824, 1107, 855, 693, 519, 1454, 2362, 1719, 3928, 9901, 676, 29370, 12099, 5238, 267, 519, 968, 324, 8997, 6673, 305, 892, 666, 581, 14320, 2362, 267, 9870, 519, 2243, 540, 799, 835, 1058, 581, 20926, 547, 2285, 4892, 519, 1655, 4605, 540, 1018, 1004, 616, 1373, 9901, 269, 634, 12130, 1503, 15351, 7690, 779, 22194, 6673, 305, 540, 476, 14983, 260, 568, 6697, 547, 606, 2500, 6673, 305, 540, 476, 30444, 18336, 8253, 1152, 616, 891, 3803, 968, 324, 8997, 892, 1719, 3928, 1082, 2053, 8273, 982, 519, 3355, 968, 736, 260, 892, 4137, 267, 789, 2461, 849, 3648, 2362, 982, 1131, 581, 22466, 676, 3168, 693, 16066, 293, 779, 22194, 14407, 14769, 6556, 2687, 547, 17186, 15812, 564, 630, 11152, 260, 585, 476, 1220, 279, 282, 17186, 10369, 11225, 713, 607, 1719, 543, 12375, 5258, 676, 519, 14407, 3328, 10211, 14769, 30155, 7876, 293, 3085, 1406, 5279, 12375, 593, 922, 12029, 267, 855, 824, 29370, 12099, 5238, 798, 267, 543, 891, 666, 2014, 2417, 1713, 4679, 538, 519, 2500, 1719, 2557, 269, 630, 2690, 1383, 267, 4946, 513, 476, 276, 260, 13927, 547, 519, 4098, 540, 513, 10211, 602, 1510, 12375, 1131, 723, 513, 22194, 6673, 305, 540, 476, 2412, 260, 12651, 922, 22194, 6673, 305, 547, 476, 5780, 260, 8094, 5804, 1018, 649, 4076, 2938, 267, 12375, 267, 25471, 9806, 267, 543, 519, 6366, 1719, 2557, 1505, 3100, 547, 581, 9425, 1455, 1851, 29370, 12099, 5238, 269, 2986, 519, 476, 4792, 631, 293, 3674, 945, 1185, 11643, 513, 4317, 13437, 11621, 7797, 547, 17186, 10369, 607, 540, 3735, 476, 1220, 280, 267, 476, 5655, 260, 946, 519, 6366, 1719, 2557, 14311, 267, 476, 3066, 260, 4371, 25471, 9806, 6589, 267, 543, 476, 7761, 260, 6394, 12375, 593, 693, 2547, 930, 10211, 2472, 630, 3147, 1800, 547, 741, 17186, 10369, 12632, 1916, 8139, 519, 3020, 1942, 540, 5491, 585, 513, 10210, 518, 568, 1271, 585, 4128, 5941, 5892, 912, 268, 4400, 1719, 3928, 630, 18474, 1441, 609, 1164, 3928, 540, 23231, 618, 543, 1970, 6749, 856, 3928, 264, 1397, 602, 10210, 619, 616, 8348, 547, 2628, 513, 1164, 3902, 585, 519, 10211, 267, 24903, 31552, 602, 789, 1871, 713, 3028, 563, 268, 1403, 1719, 3928, 616, 1970, 267, 29370, 12099, 5238, 949, 581, 3927, 4758, 6666, 19132, 267, 693, 799, 1448, 519, 6071, 1249, 540, 7589, 3587, 1447, 6209, 267, 543, 621, 3587, 811, 1271, 547, 2307, 7247, 519, 1688, 8083, 616, 2469, 547, 563, 268, 2201, 519, 824, 1688, 267, 519, 2362, 519, 1719, 2557, 267, 519, 811, 649, 5855, 827, 2436, 24228, 568, 1434, 585, 519, 10210, 619, 630, 663, 827, 23278, 4925, 899, 713, 835, 1916, 288, 9425, 1007, 11036, 630, 11034, 539, 538, 476, 1220, 279, 1070, 631, 293, 9558, 10337, 267, 568, 2324, 547, 1711, 513, 811, 1930, 4901, 827, 8020, 1503, 15351, 14499, 267, 543, 814, 16432, 543, 3370, 1719, 2557, 1239, 585, 1079, 2477, 267, 18548, 11844, 543, 25591, 269, 1284, 1413, 4464, 547, 1739, 519, 3356, 540, 713, 11036, 543, 547, 5373, 593, 922, 1239, 547, 1217, 938, 13753, 540, 29370, 12099, 3906, 563, 19950, 532, 1224, 267, 2523, 2094, 594, 5206, 1250, 4487, 5098, 827, 4010, 519, 1482, 1888, 630, 3724, 538, 476, 1220, 276, 281, 5291, 2517, 4178, 269, 30533, 323, 2593, 7933, 665, 270, 280, 2767, 1691, 19072, 2222, 325, 12099, 994, 4263, 519, 5843, 299, 15351, 7690, 267, 649, 3494, 11413, 585, 1312, 938, 7218, 543, 22881, 568, 11613, 1883, 543, 2463, 602, 519, 2376, 568, 3168, 547, 2232, 713, 269, 11109, 1044, 2206, 1194, 856, 607, 606, 631, 293, 296, 602, 568, 22801, 922, 22881, 676, 12123, 513, 1454, 2362, 1719, 2557, 982, 621, 2829, 649, 1745, 25997, 547, 1039, 547, 519, 2376, 547, 23248, 2285, 513, 3787, 811, 3666, 547, 1018, 519, 5843, 299, 15351, 7690, 798, 630, 10175, 938, 1719, 3928, 264, 543, 1946, 563, 2414, 1413, 693, 29370, 12099, 3466, 17618, 2066, 519, 1158, 267, 9236, 835, 968, 300, 293, 296, 892, 2324, 1369, 835, 3148, 540, 519, 1158, 547, 1776, 2324, 538, 513, 1114, 3148, 568, 11371, 1231, 1227, 22801, 907, 634, 1883, 851, 540, 519, 2165, 29370, 12099, 568, 2048, 332, 2222, 685, 1107, 713, 1797, 3168, 693, 1142, 631, 293, 296, 538, 2463, 547, 922, 18689, 25808, 2197, 779, 11615, 543, 519, 4890, 15295, 540, 519, 18689, 25808, 563, 1103, 824, 3817, 540, 519, 12315, 11039, 3135, 12315, 11039, 10404, 1047, 5843, 299, 15351, 7690, 585, 1152, 3246, 1344, 1394, 547, 476, 1220, 277, 610, 476, 1220, 278, 267, 15029, 824, 14540, 1683, 1344, 15198, 1454, 2417, 1394, 269, 1703, 568, 513, 2241, 2601, 585, 891, 3604, 267, 5843, 299, 15351, 7690, 568, 513, 1454, 7820, 13539, 982, 1346, 547, 7247, 12315, 11039, 3343, 547, 5635, 621, 547, 630, 11034, 539, 538, 476, 1220, 273, 538, 835, 540, 519, 30529, 4525, 540, 5689, 25596, 609, 835, 812, 267, 513, 11332, 543, 1269, 1428, 267, 1822, 1070, 621, 814, 2760, 4607, 1022, 2101, 835, 1055, 21856, 689, 1022, 13539, 543, 814, 3710, 3294, 909, 27261, 958, 3024, 532, 1169, 1269, 24603, 1107, 693, 938, 3942, 540, 1646, 649, 1745, 938, 10862, 1058, 581, 547, 1489, 519, 5215, 540, 991, 344, 1004, 538, 5689, 25596, 609, 1507, 12029, 543, 1870, 2866, 267, 2864, 982, 6108, 5215, 540, 9489, 593, 513, 10427, 631, 3041, 454, 4263, 5843, 299, 15351, 7690, 649, 960, 5097, 538, 5689, 25596, 267, 835, 540, 519, 476, 1015, 30529, 2477, 538, 519, 1158, 519, 2477, 5989, 568, 3908, 267, 519, 5354, 540, 1004, 2661, 7449, 14571, 24454, 543, 519, 1377, 540, 2069, 568, 1970, 269, 1284, 1445, 938, 960, 538, 519, 6917, 2127, 609, 1004, 945, 12777, 723, 1985, 547, 4986, 543, 723, 2760, 5892, 1185, 1569, 547, 2883, 2533, 543, 909, 547, 476, 2004, 260, 540, 7247, 616, 2192, 30185, 269, 769, 1840, 649, 1152, 1118, 12029, 547, 4057, 2021, 945, 1616, 547, 1376, 610, 1020, 4540, 4213, 269, 1284, 798, 711, 1118, 1164, 1871, 12029, 547, 2892, 926, 539, 5520, 267, 7957, 10696, 676, 519, 631, 293, 296, 779, 547, 5397, 6940, 563, 2171, 1810, 1406, 3274, 1294, 6000, 607, 513, 2757, 968, 300, 293, 296, 31865, 649, 31274, 602, 1142, 10211, 1895, 11392, 476, 279, 13838, 540, 2866, 1354, 789, 4309, 741, 12029, 267, 649, 16491, 938, 5234, 609, 5179, 321, 10105, 865, 602, 789, 616, 2111, 547, 2951, 1713, 9883, 689, 2551, 18013, 547, 3643, 938, 7817, 2516, 630, 15367, 6382, 1131, 711, 581, 3222, 540, 938, 6228, 6862, 581, 2111, 547, 6488, 547, 2951, 547, 938, 7936, 13646, 1040, 1284, 1223, 2736, 856, 519, 1942, 540, 519, 3028, 602, 649, 1683, 1063, 19142, 593, 267, 2069, 543, 2866, 543, 1719, 267, 855, 649, 3442, 711, 547, 585, 519, 8897, 540, 1620, 585, 938, 7218, 269, 3776, 1719, 3928, 616, 538, 1747, 547, 1711, 2883, 6940, 1775, 4318, 269, 547, 3382, 519, 1942, 540, 3246, 519, 1657, 3028, 543, 616, 7229, 538, 13076, 609, 595, 294, 4338, 779, 3044, 1505, 585, 1719, 2557, 4259, 269, 1733, 12241, 1995, 538, 5689, 25596, 1131, 598, 2017, 609, 519, 4681, 540, 5576, 28704, 543, 17578, 577, 778, 630, 1220, 272, 264, 543, 25347, 6199, 630, 1220, 273, 264, 26518, 538, 519, 1657, 19297, 1957, 1107, 602, 938, 7218, 616, 2111, 547, 5352, 12434, 540, 1082, 2053, 519, 2179, 602, 649, 10211, 547, 873, 1107, 649, 1131, 27082, 602, 972, 568, 2693, 513, 21465, 3095, 1063, 519, 1377, 540, 1646, 540, 519, 2146, 543, 519, 3928, 540, 7443, 602, 922, 2890, 11639, 616, 2111, 547, 6556, 689, 2890, 8804, 563, 24876, 6202, 779, 9819, 540, 5843, 299, 15351, 7690, 779, 3928, 568, 1759, 593, 519, 13429, 602, 7218, 2628, 1394, 4010, 593, 942, 1169, 942, 267, 2705, 11992, 593, 741, 3135, 789, 723, 20402, 938, 23231, 618, 2557, 267, 5103, 721, 7713, 938, 23231, 618, 2557, 547, 873, 593, 1896, 14026, 269, 769, 519, 2063, 476, 274, 1296, 476, 7176, 260, 540, 938, 7218, 723, 6976, 1394, 519, 2724, 602, 789, 723, 22666, 689, 721, 269, 1717, 513, 1507, 4939, 540, 938, 7218, 1491, 3476, 982, 519, 8815, 23231, 618, 2474, 269, 982, 519, 8815, 1974, 547, 23231, 907, 13298, 982, 10336, 1047, 519, 7218, 609, 22717, 267, 26550, 625, 606, 3606, 1719, 585, 3735, 23231, 906, 649, 1491, 513, 811, 1620, 1935, 543, 1450, 873, 8112, 547, 23231, 269, 4256, 5821, 568, 938, 5821, 269, 1284, 4867, 798, 711, 22738, 1950, 9477, 540, 713, 538, 938, 631, 3041, 267, 649, 1832, 1919, 2241, 543, 1450, 891, 7218, 547, 3274, 1831, 7218, 538, 818, 516, 1513, 267, 945, 1995, 6645 ]

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

[ 519, 1806, 1031, 4719, 3631, 609, 17522, 540, 27266, 9219, 6090, 610, 7245, 540, 5061, 693, 1114, 2053, 563, 347, 27793, 25543, 18608, 728, 1475, 16256, 14148, 1475, 1240, 281, 876, 17219, 3436, 277, 281, 876, 267, 609, 9803, 717, 17239, 2157, 1475, 2008, 347, 27793, 25543, 18608, 728, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 10907, 1393, 17219, 2799, 538, 3131, 273, 6629, 270, 6629, 8983, 1475, 2008, 347, 27793, 25543, 18608, 728, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 32247, 17219, 267, 27470, 2799, 538, 3131, 273, 6629, 270, 6629, 8983, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 298, 300, 8983, 1475, 1240, 281, 876, 17219, 3436, 277, 281, 876, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 307, 16464, 640, 8519, 538, 3131, 273, 6629, 270, 6629, 8983, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 5141, 1442, 6629, 270, 6629, 8983, 1475, 307, 16464, 640, 8519, 538, 3131, 273, 6629, 270, 6629, 8983, 267, 609, 12675, 623, 289, 4306, 1475, 2008, 347, 10907, 564, 3133, 641, 1156, 1475, 289, 7356, 272, 325, 343, 11721, 343, 290, 516, 2704, 321, 8983, 1475, 24965, 1027, 17219, 267, 4389, 3940, 740, 2265, 338, 267, 12012, 6673, 4338, 10307, 1475, 2008, 25238, 21779, 630, 307, 7374, 291, 10534, 8110, 272, 296, 26501, 267, 8110, 273, 296, 26501, 8983, 267, 2281, 1475, 19102, 1078, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 267, 595, 2988, 272, 321, 272, 1475, 2008, 25238, 21779, 630, 307, 7374, 291, 10534, 8110, 272, 296, 26501, 267, 8110, 273, 296, 26501, 267, 3131, 272, 270, 8110, 273, 296, 26501, 8983, 1475, 288, 2513, 1639, 1019, 19012, 8390, 540, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 1475, 2008, 347, 13051, 15605, 314, 320, 316, 6853, 16867, 1475, 5141, 1442, 30354, 630, 5141, 330, 270, 5141, 330, 264, 8983, 1475, 288, 2513, 1639, 1019, 19012, 8390, 540, 645, 314, 320, 316, 303, 15632, 540, 595, 2988, 272, 320, 272, 1475, 2008, 21270, 850, 13811, 561, 12720, 1475, 8110, 273, 6629, 270, 6629, 8983, 1475, 19102, 1078, 645, 13036, 14001, 6797, 5945, 543, 27470, 1475, 2008, 347, 2419, 565, 17965, 1090, 710, 2732, 11658, 8023, 1475, 8110, 272, 6629, 270, 6629, 270, 8110, 273, 6629, 270, 6629, 8983, 1475, 299, 739, 1019, 19012, 8390, 538, 23925, 3679, 10894, 11747, 6090, 1475, 2008, 347, 3674, 8205, 345, 728, 1475, 18933, 1170, 8983, 1475, 3674, 8205, 345, 573, 14817, 25570, 640, 693, 2098, 307, 272, 3436, 2098, 307, 280, 267, 2098, 307, 1704, 1475, 2008, 347, 2419, 3271, 9926, 2135, 1794, 821, 1475, 310, 626, 541, 14148, 1475, 13312, 19012, 8390, 538, 595, 24688, 273, 292, 272, 1860, 922, 3368, 3734, 1475, 2008, 347, 2704, 4022, 1475, 8110, 272, 6629, 270, 6629, 267, 3131, 273, 6629, 270, 6629, 8983, 1475, 27832, 11630, 547, 4568, 17219, 1475, 2008, 347, 13312, 14007, 27848, 4592, 8533, 630, 291, 2894, 10534, 5141, 1442, 332, 583, 10856, 14817, 14231, 1475, 5719, 920, 1078, 667, 2894, 10307, 543, 30091, 10892, 1475, 2008, 18871, 611, 26606, 1475, 2975, 305, 8983, 1475, 307, 16464, 640, 693, 2098, 307, 476, 279, 3436, 2098, 307, 476, 736, 267, 7222, 547, 1970, 1377, 540, 717, 17239, 693, 2098, 307, 279, 1475, 2008, 27793, 25543, 18608, 728, 568, 513, 4122, 1031, 14817, 25570, 656, 269, 769, 12676, 14148, 267, 7245, 540, 595, 5141, 275, 538, 519, 12784, 4951, 811, 17219, 982, 4218, 3603, 538, 519, 6640, 267, 519, 2799, 17219, 729, 10483, 676, 519, 9803, 646, 31154, 717, 17239, 2157, 538, 519, 12784, 1547, 26590, 595, 5141, 275, 17219, 729, 2799, 538, 3131, 273, 6629, 270, 6629, 8983, 269, 2311, 519, 476, 1321, 3620, 942, 1448, 1310, 595, 5141, 275, 2126, 267, 811, 7477, 340, 565, 725, 941, 4767, 538, 519, 6797, 8031, 540, 3131, 273, 5991, 1638, 8983, 607, 3379, 547, 3552, 15178, 630, 310, 307, 264, 8983, 267, 543, 693, 476, 2190, 554, 1310, 595, 5141, 275, 2126, 267, 811, 4049, 646, 31154, 27394, 15727, 729, 10423, 982, 602, 7018, 538, 654, 307, 8983, 269, 589, 17211, 540, 519, 3131, 273, 5444, 8476, 772, 31983, 273, 5444, 4082, 2157, 538, 519, 6797, 3056, 547, 4389, 21085, 543, 2799, 2504, 540, 6757, 595, 5141, 275, 16755, 269, 634, 9000, 540, 3131, 273, 849, 3361, 606, 2799, 4082, 540, 1849, 1442, 5444, 1547, 3131, 273, 5991, 1638, 8983, 941, 711, 1152, 6213, 547, 595, 5141, 275, 14001, 8650, 14817, 25570, 640, 267, 855, 849, 547, 595, 5141, 275, 14001, 5312, 17219, 543, 27470, 269, 595, 5141, 275, 3361, 1454, 811, 4049, 6797, 27470, 543, 15181, 646, 31154, 588, 749, 622, 1591, 630, 9391, 290, 264, 538, 544, 8110, 273, 14275, 8983, 607, 3379, 547, 654, 307, 8983, 269, 3131, 273, 5991, 1638, 8983, 17820, 1447, 4398, 538, 27470, 6571, 543, 30091, 4187, 538, 15101, 290, 269, 3690, 325, 1254, 540, 3131, 273, 524, 19091, 883, 595, 5141, 275, 7721, 12723, 15101, 290, 17468, 30091, 8417, 609, 909, 30625, 540, 519, 570, 6938, 6579, 7304, 273, 270, 11403, 276, 15202, 13374, 4586, 10907, 564, 3133, 641, 1156, 14817, 25570, 640, 849, 10525, 1019, 19012, 7648, 269, 1879, 2016, 21449, 3133, 641, 1156, 538, 519, 12784, 267, 17219, 729, 3152, 982, 602, 2016, 538, 519, 2038, 6640, 1496, 2537, 267, 476, 4375, 4940, 2311, 476, 279, 281, 876, 267, 972, 729, 1100, 3017, 540, 21449, 3133, 641, 1156, 17219, 1063, 3131, 273, 5991, 1638, 543, 654, 307, 8983, 267, 855, 693, 476, 736, 281, 876, 950, 519, 3131, 273, 4082, 568, 5207, 267, 3131, 273, 5991, 1638, 8983, 1185, 1447, 6797, 5945, 267, 609, 1447, 595, 2988, 272, 320, 273, 4082, 547, 6915, 19840, 10675, 21449, 3133, 641, 1156, 1547, 769, 1776, 1353, 267, 21449, 3133, 641, 1156, 17219, 568, 3152, 693, 14858, 527, 613, 828, 942, 630, 313, 307, 264, 1691, 982, 693, 2098, 307, 273, 267, 543, 9219, 12413, 17087, 8983, 616, 11259, 547, 519, 17219, 693, 2098, 307, 1691, 267, 609, 12675, 20008, 984, 16808, 1388, 3207, 942, 630, 303, 289, 4306, 1070, 10834, 519, 4389, 11852, 540, 21449, 3133, 641, 1156, 1547, 2422, 645, 7356, 272, 30354, 8983, 630, 289, 7356, 272, 325, 343, 11721, 343, 290, 516, 2704, 321, 1070, 519, 21449, 3133, 641, 1156, 17219, 693, 2098, 307, 1321, 729, 8519, 267, 2059, 609, 8519, 6673, 4338, 3940, 740, 2265, 338, 543, 12012, 21449, 3133, 641, 1156, 10307, 737, 27282, 630, 27463, 1078, 21191, 8566, 331, 1075, 1070, 7654, 1813, 547, 8519, 715, 4696, 15771, 268, 1097, 1729, 577, 4435, 623, 14596, 12444, 648, 2265, 848, 5444, 4082, 543, 2534, 693, 2098, 307, 1321, 267, 607, 3379, 547, 654, 307, 8983, 4586, 1103, 3131, 272, 267, 3131, 273, 12413, 17087, 8983, 267, 519, 2702, 540, 13259, 305, 14270, 663, 1019, 28845, 630, 307, 7374, 291, 264, 547, 16578, 519, 595, 2988, 272, 320, 272, 543, 595, 2988, 272, 321, 272, 729, 8476, 267, 2523, 609, 6098, 954, 8306, 540, 3131, 272, 1547, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 729, 476, 2537, 1700, 6246, 16784, 3152, 1282, 519, 3781, 942, 630, 313, 307, 1240, 264, 982, 693, 519, 1554, 942, 630, 313, 307, 277, 264, 538, 654, 307, 8983, 269, 1717, 267, 519, 1019, 19012, 8390, 538, 519, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 4082, 729, 27618, 538, 3131, 272, 671, 322, 267, 3131, 273, 671, 322, 267, 543, 3131, 272, 671, 322, 270, 8110, 273, 671, 322, 30354, 8983, 267, 11021, 602, 3131, 272, 267, 3131, 273, 543, 741, 942, 15209, 1599, 538, 519, 27266, 9219, 4103, 1199, 5573, 519, 1019, 19012, 8390, 538, 570, 7374, 291, 15632, 540, 595, 2988, 272, 320, 272, 1547, 1849, 1442, 30354, 1849, 330, 270, 5141, 330, 8983, 8959, 547, 1397, 6093, 14251, 566, 540, 13259, 305, 4082, 267, 543, 13391, 303, 630, 534, 13259, 305, 14270, 663, 264, 15632, 540, 595, 2988, 272, 320, 272, 729, 22314, 4586, 1103, 3131, 273, 6629, 270, 6629, 8983, 267, 23925, 13811, 561, 12720, 630, 9720, 299, 9984, 8114, 1027, 6797, 5945, 543, 27470, 729, 2799, 267, 2059, 609, 4679, 538, 570, 22143, 10382, 267, 570, 24427, 15512, 272, 267, 2051, 272, 10382, 267, 543, 30263, 6573, 272, 538, 561, 1392, 540, 3131, 273, 5991, 1638, 8983, 607, 3379, 547, 654, 307, 8983, 1547, 769, 3131, 272, 6629, 270, 6629, 543, 3131, 273, 6629, 270, 6629, 8983, 10480, 593, 476, 273, 260, 26601, 17965, 1090, 710, 2732, 267, 543, 5924, 11658, 8023, 630, 874, 848, 6879, 3424, 15672, 9219, 1070, 6797, 23925, 3679, 2157, 941, 2799, 267, 543, 519, 6046, 13364, 27334, 543, 623, 311, 305, 941, 15181, 267, 1927, 609, 519, 2799, 16796, 11747, 589, 4306, 2157, 267, 22566, 540, 6797, 3441, 269, 769, 891, 3131, 272, 6629, 270, 6629, 543, 3131, 273, 6629, 270, 6629, 8983, 267, 519, 27266, 4082, 540, 1883, 23925, 3679, 10282, 543, 3560, 6090, 267, 1519, 595, 2988, 278, 320, 272, 543, 715, 339, 31983, 267, 729, 4503, 4586, 763, 14817, 25570, 1761, 540, 1884, 15856, 828, 17533, 3075, 568, 8205, 345, 573, 9867, 950, 621, 729, 13950, 693, 2098, 307, 272, 267, 2098, 307, 280, 267, 543, 2098, 307, 1704, 267, 543, 519, 17219, 729, 5207, 950, 568, 8205, 345, 573, 729, 2016, 693, 2098, 307, 272, 1547, 25914, 345, 2135, 1794, 821, 568, 513, 595, 24688, 273, 292, 272, 8311, 1242, 3075, 267, 543, 922, 737, 27282, 543, 3368, 3734, 941, 12012, 609, 519, 1019, 19012, 8390, 540, 595, 24688, 273, 292, 272, 2534, 269, 634, 1871, 540, 8392, 345, 2135, 1794, 821, 3368, 3734, 538, 11919, 540, 519, 1769, 5123, 1895, 729, 3648, 3476, 982, 519, 4158, 5123, 1895, 267, 609, 606, 2333, 540, 476, 277, 31622, 32611, 18608, 345, 2135, 1794, 821, 2504, 1547, 26590, 4568, 14001, 2362, 17219, 693, 2098, 307, 1724, 982, 2098, 307, 272, 950, 3131, 272, 543, 3131, 273, 941, 3810, 6829, 269, 3131, 272, 6629, 270, 6629, 543, 3131, 273, 6629, 270, 6629, 8983, 941, 1447, 11630, 547, 4568, 14817, 25570, 640, 267, 2523, 538, 3131, 272, 14275, 8983, 269, 3131, 272, 14275, 8983, 1185, 8519, 4082, 540, 829, 2135, 529, 727, 7139, 11717, 2209, 19840, 17300, 13805, 3766, 10397, 543, 922, 3077, 6090, 1644, 547, 20188, 10307, 971, 607, 590, 516, 321, 335, 272, 267, 9761, 3679, 5348, 628, 848, 630, 293, 553, 1070, 7131, 3607, 267, 1019, 2329, 331, 16744, 1356, 565, 744, 268, 2329, 2741, 4920, 2536, 848, 476, 273, 630, 291, 326, 520, 273, 1070, 6673, 273, 267, 543, 740, 2354, 514, 1547, 769, 3119, 14817, 14231, 9678, 689, 1849, 1442, 30354, 1849, 330, 270, 5141, 330, 8983, 543, 654, 307, 8983, 267, 1019, 14007, 27848, 4592, 8533, 630, 291, 2894, 264, 13251, 30091, 543, 1591, 2669, 941, 4389, 538, 1849, 1442, 12413, 17087, 8983, 267, 4440, 1813, 547, 8519, 667, 2894, 10307, 1547, 27974, 26606, 14817, 25570, 640, 568, 4830, 540, 10894, 11852, 282, 1247, 922, 9019, 729, 1164, 693, 2098, 307, 279, 982, 2098, 307, 736, 950, 519, 646, 31154, 717, 17239, 1377, 729, 9803, 4586, 13295, 267, 19260, 540, 1019, 19012, 14251, 725, 1131, 1860, 3075, 10307, 267, 12117, 267, 543, 17219, 269, 2201, 519, 824, 1688, 267, 5061, 1223, 3077, 27266, 9219, 5444, 7215, 547, 3132, 6211, 2360, 267, 799, 786, 581, 5941, 2630, 563, 275, 269, 24391, 270, 1729, 13877, 1218, 1223, 1860, 1312, 3844, 543, 15672, 27266, 9219, 5444, 4082, 454, 763, 27266, 9219, 568, 4092, 538, 1312, 2634, 543, 15672, 8031, 1547, 634, 3844, 9219, 10605, 20447, 568, 4092, 538, 519, 24101, 571, 577, 14416, 1738, 13540, 630, 17092, 301, 264, 540, 519, 20968, 31726, 267, 1247, 519, 15672, 9219, 568, 7856, 538, 782, 15672, 8031, 269, 634, 6797, 568, 519, 1292, 15672, 5160, 896, 27266, 9219, 7939, 1496, 278, 267, 476, 279, 267, 476, 280, 4940, 24391, 270, 1729, 13877, 1218, 1223, 1860, 1312, 3844, 543, 15672, 9219, 5444, 4082, 269, 1280, 1383, 267, 631, 333, 568, 513, 1134, 8153, 5778, 1729, 13877, 656, 6721, 513, 19576, 6438, 6794, 267, 855, 621, 849, 7472, 6797, 5945, 269, 769, 606, 3801, 547, 4983, 519, 1198, 540, 631, 333, 593, 519, 3844, 543, 15672, 23234, 267, 14148, 941, 2016, 631, 333, 476, 272, 543, 476, 276, 8406, 21515, 267, 28258, 267, 1169, 476, 273, 2395, 585, 476, 272, 3923, 267, 543, 519, 20968 ]

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

[ 1053, 286, 2755, 3173, 5749, 5889, 23717, 339, 2943, 2386, 875, 1454, 27497, 649, 616, 4535, 609, 543, 875, 1454, 27497, 649, 666, 1451, 267, 649, 798, 917, 602, 713, 5963, 1390, 16023, 666, 581, 10114, 3293, 267, 2919, 267, 543, 9415, 269, 3371, 616, 2947, 2994, 547, 1205, 3323, 912, 20797, 8026, 269, 2290, 3364, 3592, 782, 1390, 2266, 951, 723, 538, 1455, 568, 741, 7029, 547, 519, 2834, 2259, 540, 741, 5578, 610, 1148, 269, 1215, 666, 596, 4001, 519, 5578, 540, 8026, 286, 12414, 621, 883, 513, 4356, 676, 8026, 693, 519, 1482, 942, 543, 538, 519, 1482, 1747, 1169, 1554, 269, 25166, 731, 3054, 585, 8026, 9846, 269, 1656, 1305, 3853, 585, 707, 2259, 269, 769, 1082, 2665, 267, 607, 1053, 1294, 6454, 689, 8026, 267, 621, 786, 5000, 873, 547, 3136, 563, 5938, 778, 3617, 6114, 547, 22303, 269, 4658, 609, 27497, 1810, 5889, 23717, 339, 536, 1779, 693, 22303, 269, 5502, 267, 789, 1294, 873, 607, 2591, 610, 10151, 7496, 269, 1809, 875, 666, 596, 1266, 2658, 713, 14820, 286, 9796, 3007, 547, 707, 3929, 5114, 547, 22303, 12882, 11366, 2108, 543, 2119, 547, 1589, 540, 2042, 607, 13410, 547, 4194, 269, 5213, 5889, 23717, 339, 5612, 2119, 547, 4368, 22303, 543, 2152, 585, 707, 3214, 950, 789, 1831, 13347, 281, 2285, 873, 606, 4316, 547, 581, 21616, 543, 1287, 829, 572, 3164, 563, 303, 6974, 2591, 269, 8866, 723, 1100, 4316, 547, 1020, 741, 27497, 4887, 952, 789, 2760, 3068, 2591, 267, 1294, 22303, 267, 610, 3068, 14488, 269, 2755, 2591, 666, 581, 24858, 267, 20408, 873, 666, 581, 5393, 14785, 269, 1656, 952, 1053, 1810, 5889, 23717, 339, 917, 875, 547, 7157, 1935, 2591, 543, 1966, 1606, 9876, 267, 789, 849, 4465, 5889, 23717, 339, 917, 875, 547, 1246, 998, 593, 1279, 3856, 3853, 563, 301, 4669, 675, 741, 10912, 269, 3371, 5889, 23717, 338, 606, 4277, 2460, 827, 27497, 281, 621, 4667, 547, 2408, 6923, 950, 3214, 1265, 513, 6612, 585, 1945, 269, 1411, 1522, 723, 8373, 3384, 27497, 538, 513, 4819, 945, 554, 919, 4730, 14440, 267, 1247, 621, 568, 2653, 547, 1020, 27497, 538, 513, 4819, 945, 2907, 814, 513, 2648, 267, 2436, 621, 581, 2979, 267, 15472, 267, 1603, 267, 610, 4702, 269, 2755, 27497, 949, 25041, 13007, 267, 27497, 543, 13007, 1419, 979, 1688, 538, 1688, 269, 898, 568, 1454, 4443, 547, 1020, 27497, 950, 972, 568, 2907, 513, 6079, 540, 6612, 12630, 563, 26329, 6043, 269, 1306, 609, 1082, 824, 7592, 267, 6029, 3214, 513, 2203, 540, 27497, 568, 835, 540, 519, 1655, 2081, 547, 5000, 621, 269, 1403, 789, 1294, 596, 3478, 909, 1310, 513, 5821, 543, 3843, 1586, 267, 621, 786, 8300, 873, 547, 798, 519, 1482, 269, 1403, 789, 1294, 596, 2324, 4724, 1279, 3856, 3853, 5103, 22303, 267, 789, 786, 1294, 602, 1279, 3856, 4674, 1281, 2628, 1055, 269, 1403, 596, 1397, 10100, 543, 1582, 20820, 538, 17173, 2053, 267, 789, 786, 5469, 563, 8855, 281, 27497, 1917, 1115, 27497, 269, 4495, 707, 1053, 723, 519, 5578, 543, 2702, 547, 2259, 267, 789, 666, 1732, 2259, 1210, 741, 27497, 269, 4495, 789, 723, 3710, 909, 741, 2702, 547, 2743, 2591, 267, 789, 666, 11441, 2417, 543, 2362, 269, 0, 763, 772, 2529, 269, 8136, 17620, 540, 19296, 568, 538, 519, 22984, 540, 513, 5756, 17489, 4674, 547, 9108, 1232, 2174, 2153, 543, 24905, 548, 513, 2468, 334, 540, 8136, 6046, 26119, 269, 634, 1101, 851, 540, 519, 1788, 3238, 519, 3811, 632, 18586, 540, 513, 6046, 1379, 2030, 593, 4580, 513, 6928, 2443, 799, 3177, 519, 17620, 609, 2789, 2048, 1652, 976, 4121, 685, 547, 2087, 519, 1184, 585, 519, 6967, 1079, 2244, 2861, 26119, 563, 1103, 4989, 476, 4198, 278, 267, 519, 772, 2529, 269, 8136, 15181, 519, 1101, 6046, 1379, 19720, 538, 519, 2136, 2276, 602, 3177, 5201, 547, 519, 5010, 1379, 7470, 585, 606, 6905, 1974, 269, 9122, 693, 10783, 5617, 341, 7546, 538, 12876, 325, 1314, 6019, 267, 9098, 267, 1175, 454, 1607, 2022, 729, 8385, 3370, 593, 713, 3135, 0, 288, 476, 272, 269, 276, 9180, 15095, 13374, 1131, 2154, 17111, 547, 2569, 922, 1379, 5823, 779, 5434, 8515, 676, 476, 10619, 268, 8064, 260, 689, 476, 1001, 280, 1377, 676, 476, 10711, 271, 269, 634, 1648, 5823, 8309, 476, 4037, 260, 540, 17111, 779, 5434, 267, 609, 519, 17794, 779, 2671, 630, 1789, 8472, 4947, 689, 519, 1379, 5823, 563, 22416, 904, 807, 814, 476, 273, 269, 279, 28047, 540, 5755, 19206, 538, 922, 18180, 267, 16516, 547, 5372, 1232, 2174, 2153, 539, 5755, 4390, 269, 275, 1452, 4566, 1796, 538, 4334, 609, 519, 991, 547, 5123, 856, 5755, 676, 476, 10711, 276, 267, 4553, 676, 513, 5123, 13050, 540, 3154, 676, 1472, 476, 10711, 276, 547, 476, 10711, 279, 269, 5502, 267, 519, 2229, 1058, 1902, 538, 7791, 1648, 8925, 547, 2057, 4220, 540, 18843, 539, 7221, 267, 1164, 3790, 543, 3327, 9376, 538, 547, 3914, 476, 7761, 268, 10602, 260, 2671, 540, 5710, 1963, 538, 922, 1648, 5108, 563, 22416, 904, 807, 2679, 5823, 27499, 476, 1691, 260, 540, 519, 2698, 1648, 543, 476, 7871, 260, 540, 5201, 269, 4595, 476, 1220, 276, 1648, 4616, 540, 519, 2679, 5823, 814, 2799, 693, 513, 2557, 540, 476, 274, 269, 275, 260, 12422, 563, 5472, 21845, 7653, 1294, 513, 4028, 7771, 538, 1463, 2910, 8975, 480, 5434, 689, 519, 2679, 5823, 8757, 476, 273, 268, 273, 269, 276, 24398, 4596, 8975, 480, 270, 10455, 676, 476, 10711, 271, 689, 476, 1001, 280, 1377, 540, 476, 274, 269, 276, 24398, 4596, 8975, 480, 270, 10455, 267, 543, 4628, 1232, 12365, 2213, 676, 476, 14225, 280, 268, 13078, 273, 563, 4407, 17111, 779, 3560, 5823, 568, 4867, 4625, 8200, 593, 3282, 630, 7176, 260, 538, 476, 1708, 271, 1070, 476, 272, 269, 276, 9180, 15095, 11444, 1397, 4028, 18546, 2305, 540, 519, 5823, 267, 609, 5201, 2671, 540, 476, 273, 268, 1556, 260, 676, 476, 10711, 271, 543, 909, 547, 476, 6321, 260, 676, 476, 13078, 271, 563, 30025, 814, 5189, 3454, 15314, 547, 5818, 519, 19718, 540, 3167, 6472, 563, 763, 2872, 5823, 6589, 585, 519, 2034, 4102, 2671, 540, 3119, 1648, 3747, 609, 476, 2764, 260, 538, 476, 1001, 278, 269, 12729, 1648, 3747, 538, 2872, 568, 8185, 13856, 676, 8093, 10173, 267, 693, 476, 4792, 260, 538, 476, 1708, 271, 563, 272, 269, 276, 9180, 15095, 11444, 5815, 602, 519, 2671, 540, 5201, 538, 519, 2872, 1648, 3575, 1058, 2333, 676, 476, 1839, 268, 3374, 260, 676, 476, 10711, 271, 543, 476, 2568, 268, 10463, 260, 676, 476, 13078, 271, 563, 4407, 519, 2671, 540, 4853, 1184, 5434, 729, 476, 280, 260, 540, 2698, 5434, 538, 476, 1001, 280, 782, 476, 272, 269, 276, 9180, 11444, 1397, 513, 19394, 7678, 540, 1184, 5434, 689, 476, 1708, 271, 269 ]

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

[ 0, 3080, 24354, 5063, 26906, 3220, 269, 19869, 592, 4432, 4149, 26359, 267, 2250, 11134, 585, 17135, 267, 855, 849, 606, 16917, 328, 6048, 676, 2866, 267, 607, 646, 568, 1582, 6709, 5875, 1456, 538, 1010, 538, 2000, 9155, 685, 25810, 538, 5839, 4861, 6019, 563, 3891, 3081, 5774, 12515, 723, 5734, 519, 4057, 9875, 2094, 519, 4098, 540, 942, 267, 543, 12909, 827, 875, 1072, 814, 1044, 19847, 538, 519, 2749, 563, 3963, 568, 24354, 513, 3905, 1606, 13607, 286, 14451, 3928, 540, 10447, 2713, 2282, 5230, 2872, 2306, 1004, 811, 11630, 547, 5046, 268, 866, 267, 609, 1004, 779, 9641, 2907, 19847, 269, 898, 779, 513, 2110, 5397, 689, 25204, 7615, 22193, 547, 25708, 267, 855, 538, 602, 1016, 7875, 267, 1272, 19104, 568, 3670, 1296, 3476, 982, 538, 519, 2749, 563, 5278, 1004, 723, 519, 5413, 540, 1373, 2111, 547, 798, 1732, 609, 1514, 26865, 269, 6424, 2983, 742, 523, 666, 1514, 3845, 593, 519, 5836, 538, 1010, 586, 25638, 269, 24354, 619, 1522, 1265, 2933, 16081, 4364, 883, 17743, 902, 609, 1082, 1866, 563, 3891, 4967, 715, 10621, 5716, 941, 2111, 547, 1205, 4152, 1247, 1072, 1416, 4600, 593, 519, 4395, 3515, 7948, 1406, 563, 13425, 856, 811, 827, 19869, 592, 779, 1007, 1433, 543, 15264, 1934, 281, 4179, 2517, 629, 7191, 3149, 26359, 2593, 13045, 9563, 24257, 3963, 568, 24354, 513, 3905, 1606, 13607, 286, 14451, 3928, 540, 10447, 2713, 2282, 5230, 2872, 2306, 1004, 811, 11630, 547, 5046, 268, 866, 267, 609, 1004, 779, 9641, 2907, 19847, 563, 1103, 519, 4975, 540, 24354, 267, 519, 6753, 609, 519, 5207, 3928, 540, 2937, 10447, 630, 1001, 276, 1239, 22434, 689, 6392, 8234, 3820, 264, 2507, 7498, 8796, 663, 519, 6753, 609, 519, 5207, 3928, 540, 10447, 6413, 3074, 585, 1453, 543, 4079, 630, 5408, 10824, 476, 1321, 267, 476, 1724, 543, 476, 1691, 2187, 2507, 907, 732, 782, 4092, 513, 9645, 3845, 689, 17335, 24354, 543, 922, 5230, 2872, 538, 824, 2694, 540, 519, 4975, 540, 24354, 563, 763, 3409, 602, 519, 5207, 10447, 3928, 616, 4092, 538, 17335, 24354, 543, 5924, 538, 24354, 23407, 476, 4366, 273, 1704, 568, 513, 2347, 21753, 267, 4683, 7242, 543, 568, 1510, 1022, 4493, 269, 5047, 267, 519, 3409, 602, 24354, 779, 10447, 1966, 568, 6140, 827, 2011, 5533, 3123, 568, 13974, 513, 21753, 1510, 1022, 4493, 538, 1857, 1072, 1239, 607, 666, 581, 2938, 689, 519, 1657, 8642, 4786, 11269, 563, 22349, 8676, 568, 513, 3818, 1922, 716, 3645, 7929, 2068, 609, 2789, 3123, 543, 12615, 908, 2188, 267, 543, 4683, 2011, 5533, 568, 1175, 835, 971, 3815, 543, 4749, 949, 711, 581, 519, 1034, 1271, 3815, 563, 307, 2454, 10447, 2550, 602, 5755, 17991, 1379, 2371, 616, 4929, 741, 10447, 1966, 950, 741, 4791, 2783, 14340, 689, 824, 267, 811, 2693, 3123, 899, 4598, 547, 9044, 267, 7452, 544, 924, 23480, 267, 11255, 2011, 5533, 267, 4620, 23480, 543, 824, 2188, 568, 2564, 543, 1857, 1072, 4731, 335, 15462, 269, 2368, 10447, 2550, 685, 2175, 1256, 8451, 689, 23441, 1965, 23569, 17406, 2068, 630, 294, 26314, 264, 610, 689, 22420, 4761, 1062, 2188, 563, 3080, 1455, 1966, 609, 10447, 568, 602, 2550, 3112, 1569, 610, 6382, 798, 711, 4309, 2834, 2564, 1416, 547, 1832, 741, 4230, 327, 15122, 2783, 896, 1852, 543, 896, 2564, 13178, 267, 3976, 3056, 547, 21472, 543, 1272, 18446, 10447, 6285, 563, 19013, 267, 519, 3377, 2923, 4667, 547, 1616, 547, 16111, 3262, 513, 2239, 602, 782, 10447, 568, 1759, 593, 2011, 5533, 607, 851, 540, 513, 2797, 24378, 2239, 602, 1281, 711, 723, 4376, 547, 798, 609, 4890, 2564, 19178, 269, 2334, 605, 743, 2032, 585, 10447, 771, 15574, 1058, 3247, 563, 32306, 513, 6085, 0, 15447, 827, 28939, 8611, 543, 875, 22085, 272, 10194, 3940, 2306, 28939, 513, 4049, 2068, 676, 4929, 15466, 13451, 543, 8710, 454, 763, 28939, 22085, 272, 3940, 568, 2219, 547, 1404, 513, 2565, 1909, 538, 4049, 28939, 2068, 2483, 11514, 2452, 539, 676, 10479, 540, 634, 3204, 757, 540, 519, 2160, 540, 4993, 269, 2353, 2924, 11603, 269, 630, 288, 27429, 14539, 31313, 994, 288, 26433, 513, 1122, 344, 696, 328, 18151, 454, 288, 26433, 513, 1122, 344, 696, 328, 18151, 267, 513, 15298, 540, 5835, 8611, 543, 28939, 563, 26469, 594, 269, 1215, 749, 267, 12463, 295, 282, 4515, 269, 7671, 16874, 2917, 19811, 14727, 550, 619, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 630, 15862, 7089, 281, 476, 4817, 274, 275, 994, 26177, 27749, 538, 891, 1644, 27429, 4930, 281, 0, 272, 910, 476, 1015, 540, 476, 2537, 4930, 454, 763, 20556, 9737, 8048, 543, 670, 5669, 728, 13405, 2090, 723, 6700, 602, 4598, 547, 1291, 568, 2404, 609, 32592, 1890, 543, 6760, 269, 17497, 267, 835, 1271, 2707, 540, 1291, 568, 23197, 1291, 5536, 269, 901, 8733, 1353, 8947, 519, 7681, 540, 1291, 9830, 538, 2011, 538, 519, 476, 25313, 272, 2483, 29020, 2414, 3313, 952, 24045, 11295, 20418, 13508, 630, 7704, 6195, 264, 585, 1312, 3237, 3379, 609, 6671, 6413, 20418, 1489, 630, 6224, 7034, 264, 10607, 519, 8653, 540, 20418, 538, 1360, 1970, 1532, 9500, 27954, 12256, 909, 547, 476, 272, 1032, 2025, 269, 17637, 305, 24655, 1242, 4693, 609, 19976, 2483, 29020, 2414, 1020, 513, 6325, 543, 4570, 2168, 2534, 9584, 2268, 585, 946, 609, 10708, 538, 3119, 1416, 5468, 269, 19138, 5071, 2171, 5342, 476, 273, 2090, 547, 6218, 519, 1449, 3146, 11687, 10727, 543, 21276, 14496, 540, 476, 277, 2582, 268, 14403, 543, 476, 274, 12432, 3800, 540, 2168, 2534, 19601, 25889, 15430, 857, 1632, 3466, 723, 1883, 6286, 585, 3790, 267, 4093, 267, 543, 1382, 267, 2943, 1906, 1239, 2291, 593, 12963, 16496, 22515, 556, 340, 696, 820, 28166, 630, 7704, 6020, 264, 3466, 543, 12205, 609, 8102, 656, 3466, 269, 29020, 2414, 4766, 13310, 3466, 585, 8102, 1218, 267, 9399, 305, 3674, 267, 543, 4999, 2483, 25889, 3849, 3421, 1417, 31331, 3928, 2611, 1970, 269, 9747, 267, 513, 1732, 1620, 540, 519, 2188, 602, 3310, 15730, 31331, 568, 2877, 269, 29020, 2414, 2708, 519, 15730, 31331, 2853, 540, 2475, 13500, 269, 17637, 543, 17553, 288, 476, 2190, 268, 14403, 5619, 544, 9229, 538, 476, 1960, 278, 547, 513, 3084, 3732, 540, 2483, 25889, 763, 14271, 541, 14821, 3340, 2829, 543, 11182, 547, 15357, 513, 1876, 10238, 1746, 519, 9042, 540, 10269, 547, 1295, 832, 543, 547, 17997, 602, 1876, 538, 513, 6073, 602, 1223, 21230, 581, 4397, 547, 6175, 519, 8244, 540, 10269, 547, 1295, 832, 269, 29020, 2414, 3313, 952, 519, 4972, 540, 2657, 543, 2483, 3519, 3667, 28095, 2090, 723, 6700, 602, 7050, 1291, 4598, 568, 1644, 547, 10728, 543, 10795, 2623, 269, 29020, 2414, 6218, 519, 7681, 1063, 6059, 2011, 1291, 9830, 543, 4630, 8336, 3928, 269, 17637, 15899, 22891, 8733, 1353, 2529, 23293, 5472, 17521, 538, 519, 733, 27631, 476, 4366, 2483, 5649, 543, 1820, 689, 5215, 540, 1283, 14046, 13746, 563, 25594, 609, 9365, 454, 14294, 909, 609, 5616, 454, 19868, 538, 609, 9786, 454, 2704, 2819, 723, 606, 2272, 286, 8298, 538, 454, 9349, 5658, 713, 2376, 269, 1411, 666, 1294, 707, 3883, 12201, 593, 707, 12213, 291, 344, 557, 7732, 563, 2414, 4688, 606, 2376, 267, 2845, 538, 1101, 267, 610, 1129, 909, 585, 513, 12213, 291, 344, 557, 2272, 952, 596, 1810, 1406, 2907, 723, 835, 563, 14294, 5455, 8298, 769, 454, 2414, 24049, 547, 4757, 25887, 267, 5225, 2845, 538, 1101, 267, 610, 1129, 909, 585, 513, 12213, 291, 344, 557, 2272, 952, 596, 1810, 1406, 2907, 723, 835, 563, 2414, 1205, 1007, 2376, 10311, 689, 513, 4760, 593, 707, 10531, 1753, 2457, 267, 5225, 2845, 538, 1101, 267, 610, 1129, 909, 585, 513, 12213, 291, 344, 557, 2272, 952, 596, 1810, 1406, 2907, 723, 835, 269, 0, 300, 1961, 9908, 12791, 538, 15622, 8932, 454, 1432, 568, 519, 2495, 540, 2262, 631, 1961, 9908, 538, 15622, 8932, 20324, 836, 5055, 15017, 30547, 540, 631, 1961, 9908, 538, 10854, 5055, 568, 2433, 11774, 355, 483, 14972, 352, 29082, 479, 630, 334, 1547, 562, 579, 994, 9377, 523, 819, 540, 2262, 631, 1961, 9908, 454, 268, 513, 1895, 540, 8444, 27433, 1927, 267, 8204, 519, 10545, 4909, 1770, 540, 513, 3114, 7623, 602, 666, 1491, 851, 538, 513, 3114, 5114, 563, 2005, 1568, 676, 7133, 513, 11140, 1572, 6491, 878, 12547, 267, 799, 21040, 1973, 8043, 563, 8448, 12791, 540, 631, 1961, 9908, 0, 1432, 568, 621, 827, 888, 2691, 649, 1589, 827, 513, 834, 18524, 257, 649, 2356, 1589, 827, 2436, 649, 3094, 610, 6336, 538, 602, 3014, 269, 1809, 538, 1272, 649, 18645, 17993, 543, 9271, 936, 942, 269, 769, 713, 1957, 649, 2307, 519, 2243, 281, 952, 5716, 616, 11231, 593, 513, 7470, 543, 1404, 4224, 1790, 1653, 27214, 19538, 609, 741, 12543, 1018, 4523, 950, 19017, 3094, 11789, 616, 1031, 547, 3310, 2104, 4640, 3903, 286, 769, 938, 2203, 267, 2950, 540, 834, 549, 4242, 257, 834, 335, 3639, 257, 543, 834, 2675, 19538, 257, 1106, 543, 875, 1346, 2950, 11457, 568, 9244, 6766, 676, 519, 3448, 8007, 585, 10888, 5288, 269, 9561, 543, 519, 12402, 540, 5716, 547, 14477, 6467, 2994, 563, 20124, 676, 22189, 22642, 5459, 593, 24296, 680, 1662, 454, 3963, 568, 621, 1271, 888, 25565, 16817, 1014, 4720, 31234, 602, 2067, 5542, 568, 9141, 676, 6735, 543, 15817, 7368, 936, 2620, 942, 267, 6721, 2249, 20102, 9862, 547, 741, 5054, 543, 1142, 824, 269, 12472, 776, 3014, 3069, 4564, 713, 1184, 3842, 630, 324, 3052, 4700, 519, 18187, 1807, 610, 18187, 1807, 2173, 583, 1807, 3830, 267, 6236, 31302, 8007, 689, 5872, 607, 519, 2268, 540, 8516, 269, 901, 1935, 267, 2705, 267, 10714, 338, 519, 2702, 540, 7103, 547, 4558, 1648, 7551, 32229, 2933, 689, 2942, 4205, 269, 2334, 568, 267, 8516, 568, 630, 514, 930, 2631, 264, 6027, 676, 2949, 3140, 1967, 607, 1134, 607, 31302, 1967, 269, 769, 713, 1957, 267, 649, 1353, 513, 8901, 12105, 3014, 7271, 602, 16621, 15817, 3842, 513, 12157, 16379, 10458, 3892, 855, 568, 25358, 676, 6740, 630, 326, 1484, 264, 3094, 11789, 267, 610, 5763, 269, 1284, 17589, 2175, 1141, 2950, 1106, 609, 1164, 5506, 543, 1353, 519, 4611, 2146, 3889, 27985, 543, 10686, 1227, 538, 835, 10155, 563, 5649, 519, 22731, 454, 1607, 2985, 568, 513, 5758, 540, 281, 7991, 5250, 538, 5763, 24975, 5687, 17871, 4640, 4720, 267, 24755, 657, 1323, 3955, 13694, 4750, 540, 6348, 15035, 3163, 267, 5239, 476, 1708, 273, 267, 1977, 4659, 540, 8212, 267, 20396, 281, 476, 1015, 269, 11793, 274, 270, 276, 269, 18089, 6795, 277, 280, 563, 2791, 666, 1224, 519, 2407, 1257, 912, 763, 1739, 723, 8329, 547, 713, 2985, 0, 1432, 568, 3940, 888, 6624, 1648, 13063, 543, 1072, 695, 1389, 14441, 875, 1454, 3940, 789, 2270, 899, 621, 781, 519, 1152, 3364, 596, 2479, 991, 269, 1215, 1271, 666, 621, 581, 267, 543, 1018, 1281, 621, 1611, 547, 723, 1932, 1454, 3940, 888, 3682, 12888, 568, 835, 540, 519, 5672, 1258, 19153, 538, 1426, 543, 568, 1336, 10876, 538, 707, 1560, 269, 2659, 1560, 3096, 3940, 538, 707, 6091, 267, 7633, 267, 543, 824, 8031, 547, 1379, 4105, 3114, 6547, 563, 7312, 1560, 3096, 1134, 936, 476, 1015, 267, 1822, 5946, 547, 1832, 707, 1560, 4881, 269, 2859, 982, 8938, 11254, 7408, 1118, 909, 1142, 3940, 267, 8370, 540, 799, 1590, 2097, 689, 1426, 1317, 707, 1560, 666, 1405, 1118, 873, 563, 1692, 1454, 3940, 798, 596, 991, 888, 763, 2626, 3884, 1405, 3551, 269, 2659, 8770, 6981, 5673, 593, 707, 2597, 267, 2085, 267, 2450, 267, 3023, 267, 543, 2534, 2157, 269, 1411, 949, 849, 7369, 707, 3940, 6981, 4470, 593, 707, 1072, 3853, 563, 2467, 616, 513, 1906, 2081, 547, 3313, 875, 1454, 3940, 596, 991, 282, 930, 2409, 723, 1114, 2164, 269, 13185, 609, 707, 4387, 585, 519, 1655, 7840, 585, 707, 1072, 563, 763, 476, 272, 268, 8784, 6697, 1505, 454, 763, 2136, 2276, 4972, 540, 11982, 630, 4785, 6395, 264, 3096, 513, 6482, 1572, 834, 272, 268, 8784, 25668, 20884, 1701, 589, 476, 272, 268, 8784, 6697, 540, 3940, 568, 3160, 547, 606, 26412, 540, 5779, 267, 16738, 267, 610, 3165, 282, 606, 4212, 267, 513, 10116, 2275, 1575, 540, 10365, 267, 610, 513, 3368, 268, 8784, 540, 10808, 563, 763, 3328, 2937, 2115, 476, 276, 547, 476, 278, 26412, 25668, 2526, 757, 540, 3940, 1169, 1554, 269, 634, 26412 ]

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

[ 269, 9453, 1022, 948, 267, 18071, 1007, 5013, 835, 693, 513, 942, 1131, 1491, 6266, 540, 8193, 960, 269, 1717, 267, 7064, 547, 6641, 325, 3415, 267, 596, 666, 3274, 19074, 4540, 3009, 2966, 4481, 585, 971, 4247, 269, 3973, 267, 596, 1152, 991, 547, 21160, 621, 5594, 547, 6474, 707, 5551, 1413, 543, 1745, 269, 1215, 5863, 568, 602, 2496, 1103, 5758, 267, 1565, 827, 10850, 899, 6641, 325, 3415, 10741, 909, 11995, 7399, 538, 2870, 7317, 543, 11617, 13267, 7270, 269, 1635, 9001, 891, 7347, 2645, 3710, 2390, 4396, 13654, 4654, 899, 23285, 267, 14971, 9367, 666, 20928, 741, 3157, 267, 2569, 1761, 6959, 267, 543, 6038, 3142, 7772, 547, 6634, 540, 4950, 3755, 5001, 269, 8414, 8193, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12474, 454, 28415, 6651, 1677, 670, 790, 667, 539, 5344, 700, 4673, 767, 3763, 619, 281, 21414, 32018, 267, 13786, 4850, 267, 10341, 1299, 11310, 2986, 12752, 20226, 454, 299, 4673, 767, 568, 606, 1930, 21299, 23285, 5943, 3710, 609, 6641, 325, 3415, 3334, 269, 898, 3091, 4359, 2934, 267, 29782, 267, 631, 31357, 6189, 267, 8021, 267, 543, 2645, 585, 1646, 269, 4706, 11684, 2029, 6087, 9367, 547, 15407, 3791, 18407, 8924, 998, 5043, 725, 543, 2636, 873, 547, 2328, 543, 12575, 9479, 3362, 563, 4913, 267, 700, 4673, 767, 1646, 568, 1950, 267, 543, 596, 991, 3608, 543, 4810, 4648, 547, 6023, 922, 7965, 269, 1284, 723, 2016, 3407, 10372, 547, 948, 596, 16926, 23285, 700, 4673, 767, 9367, 609, 519, 2556, 15334, 269, 1411, 666, 946, 891, 4388, 547, 3432, 909, 17849, 543, 593, 4580, 519, 1655, 2872, 4966, 563, 29973, 31834, 1677, 6333, 6969, 18786, 634, 670, 3931, 6713, 454, 5141, 541, 1518, 2659, 20505, 454, 9928, 2100, 909, 707, 1788, 543, 1711, 513, 31387, 585, 1646, 269, 1411, 1590, 1544, 519, 1184, 21825, 543, 12172, 1788, 6859, 269, 1411, 1058, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15228, 325, 3415, 17563, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 23285, 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, 0, 6092, 5149, 281, 4675, 11915, 17796, 540, 13751, 16390, 538, 6129, 14269, 9099, 808, 9766, 1440, 28619, 281, 594, 560, 328, 30910, 338, 31488, 543, 1325, 16927, 560, 573, 331, 5953, 331, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 1079, 2565, 2035, 1369, 6129, 14269, 9099, 10883, 1440, 28619, 630, 25206, 336, 327, 2567, 568, 16210, 30910, 338, 31488, 543, 620, 268, 626, 573, 331, 5953, 331, 269, 1452, 2035, 829, 1555, 547, 25581, 2959, 540, 3656, 3652, 602, 723, 17275, 9840, 1851, 5640, 2066, 1585, 1153, 5389, 269, 1677, 1683, 2796, 267, 1577, 721, 1101, 1174, 875, 891, 3741, 3514, 1369, 519, 6626, 5943, 540, 535, 28999, 327, 780, 26422, 14269, 9099, 10883, 1440, 28619, 5097, 12346, 2390, 2185, 1292, 2959, 540, 9086, 1634, 607, 620, 268, 639, 592, 620, 268, 541, 9346, 262, 320, 269, 1358, 17663, 519, 20845, 267, 16874, 603, 630, 303, 1886, 4854, 26492, 1070, 594, 329, 2742, 262, 630, 338, 3273, 8765, 13618, 1070, 543, 1627, 12011, 553, 630, 534, 11530, 673, 7744, 1040, 1717, 267, 972, 2291, 13564, 10706, 2959, 540, 1876, 602, 4196, 607, 2798, 540, 1543, 542, 1063, 1114, 3506, 269, 5565, 971, 25581, 2959, 616, 5941, 538, 713, 1770, 281, 568, 16210, 30910, 338, 31488, 267, 610, 24787, 776, 6644, 267, 543, 620, 268, 626, 573, 331, 5953, 331, 267, 13288, 547, 15997, 610, 2963, 602, 949, 4268, 10838, 3656, 3506, 269, 1635, 3695, 519, 16082, 4478, 891, 2035, 267, 1053, 2744, 3407, 4030, 883, 519, 10848, 7915, 538, 9099, 10883, 1440, 28619, 543, 922, 4720, 2429, 1686, 780, 296, 560, 328, 30910, 338, 31488, 281, 2598, 17917, 776, 32722, 454, 29432, 4263, 922, 4295, 267, 568, 16210, 30910, 338, 31488, 4016, 547, 519, 3635, 540, 4830, 10385, 676, 11727, 9099, 29632, 1235, 950, 29270, 3209, 2152, 15534, 2312, 5583, 689, 3119, 2959, 269, 901, 1523, 2636, 5640, 547, 2015, 1857, 1719, 630, 5733, 331, 21036, 264, 543, 2057, 27465, 630, 332, 26474, 336, 336, 1695, 264, 1247, 16208, 3909, 5931, 269, 769, 9759, 267, 621, 3091, 8112, 1369, 519, 14461, 2497, 540, 2757, 9099, 1876, 780, 2162, 8466, 4886, 692, 296, 560, 328, 30910, 338, 31488, 729, 7620, 4412, 15903, 676, 26512, 12390, 604, 320, 267, 13653, 540, 519, 12390, 2378, 328, 3427, 267, 945, 5156, 602, 10883, 4621, 6699, 1058, 8415, 741, 6457, 543, 1702, 547, 12446, 693, 10257, 8753, 3823, 15458, 6927, 269, 4014, 1010, 1967, 832, 15645, 730, 1010, 18879, 267, 789, 1869, 909, 18988, 519, 1871, 540, 1210, 2123, 27790, 538, 1978, 6381, 269, 4033, 3506, 267, 16113, 1744, 2378, 328, 262, 328, 543, 5689, 5942, 267, 941, 811, 25516, 538, 16561, 568, 16210, 30910, 338, 31488, 267, 12145, 922, 3498, 1152, 1310, 9688, 532, 782, 824, 4612, 894, 2645, 780, 2162, 7073, 10241, 692, 9213, 267, 5717, 1472, 568, 16210, 30910, 338, 31488, 2611, 4143, 1813, 547, 9687, 1514, 2175, 543, 6639, 7760, 269, 1280, 3236, 267, 2055, 827, 1418, 21856, 267, 1147, 5766, 2329, 267, 610, 5841, 4987, 2154, 6297, 7156, 540, 4207, 4145, 7258, 3964, 9099, 10752, 269, 4935, 267, 568, 16210, 30910, 338, 31488, 3587, 1898, 538, 28043, 519, 7934, 1063, 8106, 535, 28999, 327, 543, 2413, 19178, 780, 2704, 16927, 560, 573, 331, 5953, 331, 281, 19577, 338, 543, 15845, 7352, 766, 454, 14343, 7042, 2704, 268, 626, 573, 331, 5953, 331, 13315, 519, 3309, 2010, 540, 15997, 1031, 676, 1114, 9099, 3656, 3506, 950, 3541, 1516, 5947, 902, 269, 2755, 1034, 15666, 547, 519, 2185, 3119, 2959, 5018, 4505, 267, 7648, 8451, 7282, 6281, 2959, 543, 2409, 540, 7664, 269, 9182, 267, 22195, 2049, 267, 3056, 547, 3982, 3656, 8369, 1851, 3506, 780, 2162, 16844, 540, 22604, 692, 10376, 2101, 1153, 540, 2219, 1765, 295, 534, 2378, 328, 267, 5689, 5942, 267, 1744, 2378, 328, 262, 328, 267, 543, 12390, 4472, 328, 1765, 13757, 2919, 2189, 4485, 2509, 620, 268, 626, 573, 331, 5953, 331, 269, 4256, 16097, 3006, 16937, 267, 2943, 1713, 3604, 6414, 269, 6201, 1331, 8795, 8456, 4724, 22232, 2853, 630, 584, 325, 1070, 2199, 2245, 630, 600, 531, 1070, 543, 12746, 673, 17429, 794, 630, 336, 12011, 553, 1040, 4197, 891, 21441, 10597, 8223, 540, 519, 3638, 13795, 540, 9099, 10883, 1440, 644, 1113, 2219, 780, 2162, 12634, 19043, 692, 18698, 620, 268, 626, 573, 331, 5953, 331, 2488, 5813, 883, 519, 12683, 1143, 7915, 1369, 6129, 14269, 5771, 269, 20876, 713, 4763, 666, 6536, 10892, 543, 8994, 2463, 1851, 13794, 540, 1114, 3506, 269, 5015, 267, 14344, 4244, 16752, 7512, 16268, 5188, 543, 9316, 538, 5466, 4207, 2591, 5185, 676, 7332, 2950, 5001, 780, 6962, 454, 29603, 7437, 6313, 568, 16210, 30910, 338, 31488, 543, 620, 268, 626, 573, 331, 5953, 331, 267, 1053, 5660, 519, 6988, 543, 3846, 1143, 540, 6129, 14269, 9099, 10883, 1440, 28619, 269, 10787, 689, 1373, 1395, 18070, 267, 519, 9015, 16621, 2789, 5380, 12082, 538, 3140, 1646, 543, 14046, 7521, 269, 12056, 609, 891, 3584, 6087, 6267, 547, 9691, 2708, 519, 1909, 540, 25581, 2959, 538, 5935, 9099, 3656, 11407, 543, 6330, 519, 6946, 5251, 540, 535, 28999, 327, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 32045, 3201, 3041, 296, 2319, 267, 2059, 609, 9683, 16159, 19869, 620, 4149, 600, 611, 32599, 16554, 267, 10356, 538, 1401, 17625, 585, 606, 12784, 540, 2542, 5931, 593, 568, 16210, 30910, 338, 31488, 538, 519, 1585, 14834, 327, 4725, 5389, 269, 589, 10872, 568, 2139, 1934, 563, 736, 628, 1107, 476, 2420, 526, 5147, 476, 1708, 273, 281, 1401, 2678, 5174, 518, 18403, 579, 23973, 19476, 331, 1257, 1759, 13186, 281, 589, 5060, 18416, 808, 22618, 17796, 281, 1325, 16927, 560, 573, 331, 5953, 331, 1107, 620, 14194, 8759, 620, 2173, 4157, 327, 2145, 2378, 535, 13682, 327, 5953, 454, 2171, 10356, 585, 1018, 786, 4440, 581, 938, 3803, 1401, 2678, 5174, 518, 18403, 579, 23973, 19476, 331, 1257, 2861, 13186, 547, 4983, 519, 865, 10777, 620, 14194, 8759, 620, 2173, 4157, 327, 2145, 2378, 535, 13682, 327, 5953, 1107, 24045, 2959, 540, 3656, 3652, 799, 616, 31713, 1063, 519, 1114, 1153, 5389, 269, 589, 2407, 10872, 568, 2139, 1934, 269, 898, 814, 1044, 513, 5458, 569, 11791, 3126, 540, 11925, 936, 519, 32045, 3201, 3041, 296, 1788, 779, 1272, 1107, 609, 513, 5458, 4015, 540, 5931, 1224, 543, 21845, 1142, 2427, 540, 519, 524, 10604, 268, 866, 6855, 269, 634, 32045, 3201, 3041, 296, 2319, 1131, 899, 547, 8831, 513, 5458, 968, 628, 1678, 596, 892, 547, 938, 9164, 538, 20588, 267, 3226, 7905, 1306, 611, 30277, 269, 1284, 4126, 938, 7214, 21769, 786, 3136, 538, 519, 2104, 538, 835, 1106, 610, 1776, 563, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 5771, 1315, 6129, 14269, 1315, 9099, 808, 9766, 1440, 28619, 630, 22380, 336, 327, 1040, 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, 0, 3848, 476, 1015, 281, 1548, 781, 5455, 609, 17510, 6513, 2496, 20756, 972, 267, 5100, 625, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 2706, 1271, 910, 4332, 1852, 269, 3767, 267, 1354, 596, 5066, 707, 4064, 543, 1589, 713, 3085, 1405, 4019, 547, 596, 2943, 630, 528, 2479, 1070, 3314, 602, 1620, 875, 938, 4703, 960, 543, 519, 5079, 649, 723, 568, 1898, 269, 9578, 267, 621, 781, 2141, 1434, 547, 581, 5483, 256, 1924, 1577, 781, 4685, 1318, 538, 780, 3383, 267, 1018, 4010, 568, 4332, 1852, 286, 15439, 2322, 267, 621, 781, 513, 1259, 547, 2061, 6379, 950, 596, 1810, 1405, 1616, 835, 269, 1703, 616, 1082, 2010, 540, 4332, 1852, 856, 972, 267, 543, 789, 782, 960, 8335, 269, 2368, 1522, 9983, 596, 256, 1809, 1101, 267, 1946, 1131, 2576, 946, 4332, 1852, 286, 4270, 267, 1934, 616, 930, 4128, 1384, 265, 1358, 5749, 1405, 4712, 547, 1831, 3237, 1175, 2943, 563, 265, 1677, 1544, 741, 1920, 2450, 543, 12557, 1732, 563, 265, 1280, 1978, 1072, 2640, 899, 14402, 5712, 610, 21757, 909, 18383, 780, 3086, 267, 1577, 781, 2911, 827, 835, 2101, 7121, 1572, 834, 327, 768, 4689, 4332, 1852, 1701, 901, 1826, 3096, 10991, 10399, 2147, 547, 1346, 1336, 6923, 538, 938, 4703, 269, 1452, 10399, 948, 3247, 28284, 630, 7474, 781, 950, 606, 4212, 4991, 5950, 264, 543, 1711, 513, 11064, 1996, 521, 704, 916, 676, 5394, 2287, 519, 22024, 1472, 519, 14677, 1460, 269, 30474, 3579, 267, 26001, 286, 2913, 781, 1413, 693, 1079, 1292, 5686, 540, 17441, 4332, 8060, 1384, 272, 269, 2878, 302, 1537, 2552, 571, 1061, 1161, 4995, 1411, 949, 723, 4862, 4079, 1289, 873, 1412, 1492, 10788, 9538, 1452, 2370, 16921, 2097, 14095, 609, 2901, 1312, 1322, 652, 514, 543, 21110, 630, 18474, 1441, 21447, 264, 610, 1152, 1322, 652, 514, 630, 2381, 328, 1790, 1571, 1040, 13689, 2390, 799, 2186, 596, 4584, 267, 789, 798, 7168, 1454, 519, 1482, 3364, 1107, 7303, 6379, 269, 1215, 4977, 616, 789, 286, 1879, 3144, 7157, 1169, 1554, 267, 891, 9002, 30107, 513, 1967, 2557, 540, 827, 476, 11152, 10065, 2334, 1797, 7864, 982, 476, 278, 856, 540, 476, 1911, 3755, 786, 1205, 9176, 1369, 513, 1032, 269, 1717, 267, 7508, 1256, 835, 1554, 666, 2539, 922, 4398, 563, 273, 269, 2878 ]

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

[ 694, 336, 912, 1038, 536, 31927, 3287, 2020, 825, 1820, 2891, 13765, 602, 6843, 32280, 1568, 5602, 825, 524, 815, 23030, 21698, 263, 12690, 12774, 318, 10090, 1807, 263, 1220, 876, 267, 476, 7742, 876, 4917, 825, 1354, 318, 1372, 2280, 542, 815, 524, 4318, 2211, 18045, 454, 825, 585, 1775, 538, 4351, 12774, 318, 10090, 1807, 263, 4335, 271, 267, 476, 7742, 876, 2187, 1038, 524, 31927, 9217, 994, 825, 1310, 318, 1372, 2280, 542, 815, 524, 4318, 2211, 18045, 454, 825, 7254, 640, 318, 13765, 6025, 872, 284, 322, 994, 825, 7682, 630, 29592, 318, 1372, 2280, 542, 13843, 1310, 318, 1372, 2280, 542, 2020, 825, 1820, 2891, 13765, 602, 606, 20724, 299, 3529, 781, 4463, 568, 14553, 1447, 982, 476, 272, 269, 4510, 265, 8421, 273, 18217, 266, 273, 9984, 272, 630, 11004, 715, 568, 1297, 540, 2609, 264, 5602, 825, 7682, 630, 322, 269, 19417, 3890, 2999, 476, 272, 269, 4510, 2608, 2979, 28802, 5416, 1123, 318, 1372, 2280, 542, 1341, 476, 273, 267, 476, 273, 264, 910, 476, 272, 994, 0, 1012, 10900, 268, 3721, 272, 18998, 3721, 273, 10900, 955, 268, 1012, 692, 258, 1911, 22390, 489, 28374, 28884, 27381, 510, 11210, 496, 418, 490, 479, 7430, 353, 12530, 359, 11210, 373, 12530, 486, 13200, 509, 29873, 454, 333, 4405, 1023, 815, 1496, 272, 316, 476, 2608, 476, 1911, 692, 1721, 1775, 538, 2039, 263, 273, 267, 1556, 2187, 825, 952, 562, 4405, 1023, 5157, 316, 2652, 476, 271, 912, 1038, 3136, 454, 825, 795, 815, 1775, 1341, 476, 272, 454, 825, 1247, 795, 2999, 476, 1911, 912, 1038, 952, 795, 4939, 1775, 2652, 476, 271, 912, 2018, 562, 4405, 1023, 14728, 316, 815, 476, 271, 454, 1038, 795, 6834, 476, 272, 692, 258, 3721, 273, 17958, 28374, 23989, 419, 353, 374, 419, 369, 494, 31563, 10533, 368, 25051, 351, 16583, 355, 419, 494, 484, 454, 11133, 815, 476, 273, 454, 321, 1030, 528, 19617, 815, 476, 271, 454, 6112, 1003, 2999, 476, 1911, 281, 22322, 825, 952, 562, 4405, 1023, 314, 11133, 316, 2652, 476, 272, 912, 1038, 952, 1193, 6357, 1030, 528, 19617, 1040, 345, 15640, 263, 273, 264, 11468, 272, 316, 2652, 1193, 16325, 1040, 345, 15640, 263, 273, 264, 11468, 272, 14158, 2018, 1820, 2891, 14307, 754, 284, 3269, 994, 2018, 1820, 16325, 267, 754, 284, 3269, 994, 1038, 3116, 912, 2018, 1820, 2891, 5602, 2018, 1820, 16325, 267, 754, 284, 3269, 994, 1038, 581, 1721, 19617, 815, 1003, 454, 825, 1003, 6834, 476, 272, 454, 2745, 2891, 5602, 0, 1012, 10900, 268, 3721, 272, 267, 3721, 273, 10900, 955, 268, 1012, 692, 258, 20075, 826, 12218, 28374, 420, 359, 511, 7430, 379, 20001, 376, 7430, 379, 454, 5814, 6581, 826, 12218, 692, 258, 20075, 826, 11210, 363, 12530, 358, 11210, 373, 28374, 11210, 353, 12530, 367, 11210, 373, 11210, 379, 12530, 367, 11210, 373, 30853, 29873, 454, 4302, 11900, 815, 6581, 826, 12218, 269, 20075, 826, 10797, 258, 9463, 500, 11210, 488, 24731, 7430, 501, 7430, 509, 22390, 353, 11210, 496, 24662, 11210, 490, 7430, 355, 7430, 488, 7430, 493, 7430, 509, 11210, 479, 28374, 12530, 359, 11210, 373, 12530, 486, 454, 28255, 8266, 815, 1592, 10797, 4302, 11900, 269, 5319, 28255, 263, 272, 994, 4302, 11900, 269, 5319, 28255, 263, 280, 994, 4302, 11900, 269, 5319, 28255, 263, 278, 994, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 4302, 11900, 269, 5319, 28255, 263, 274, 994, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 15405, 28255, 8266, 6910, 263, 4302, 11900, 6185, 3225, 324, 826, 31156, 258, 9463, 500, 11210, 488, 24731, 7430, 501, 7430, 509, 22390, 353, 7430, 357, 11210, 373, 11210, 379, 12530, 481, 11210, 363, 7430, 360, 418, 362, 489, 7430, 352, 7430, 355, 11210, 489, 22390, 353, 454, 2745, 2891, 2437, 269, 21860, 263, 28255, 8266, 4917, 2745, 263, 4302, 11900, 269, 2414, 21803, 28829, 0, 1012, 10900, 268, 3721, 272, 10900, 955, 268, 1012, 454, 258, 6112, 24757, 692, 258, 544, 815, 476, 272, 454, 258, 2040, 815, 476, 271, 692, 258, 1247, 544, 10922, 476, 1911, 912, 258, 672, 952, 544, 4939, 476, 273, 2652, 476, 271, 912, 258, 1363, 2040, 6834, 544, 454, 258, 672, 544, 6834, 476, 272, 692, 258, 1820, 4433, 636, 9239, 1012, 10900, 268, 3721, 273, 10900, 955, 268, 1012, 454, 258, 1721, 24757, 692, 8999, 815, 476, 271, 692, 1721, 544, 538, 2039, 263, 273, 267, 6200, 267, 273, 2187, 825, 2040, 6834, 544, 692, 2745, 4433, 636, 9239, 258, 3721, 274, 7430, 363, 24662, 20693, 505, 22390, 353, 11210, 496, 12530, 355, 12530, 376, 11210, 370, 12530, 376, 24662, 20693, 505, 7430, 360, 14035, 487, 7430, 486, 11210, 489, 7430, 510, 7430, 495, 454, 258, 3721, 275, 7430, 363, 420, 485, 359, 20693, 505, 7430, 356, 0, 12163, 24927, 547, 4729, 11708, 540, 519, 1198, 540, 19003, 593, 519, 6151, 1239, 538, 476, 272, 291, 454, 12163, 5814, 26417, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 7531, 3698, 1224, 32269, 6262, 12364, 4067, 267, 1883, 4900, 2187, 825, 5727, 31262, 547, 1349, 11483, 309, 6119, 12163, 8931, 825, 1948, 31711, 8900, 1592, 540, 8638, 547, 4558, 519, 1224, 1239, 538, 454, 825, 10710, 4900, 815, 20886, 14963, 265, 6352, 31107, 4900, 994, 8931, 825, 1948, 5649, 1239, 689, 11483, 309, 454, 825, 609, 1930, 6262, 12364, 4067, 1341, 29717, 322, 12364, 3299, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 1038, 1224, 12803, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 13172, 8782, 1410, 4897, 5073, 1038, 887, 1233, 636, 284, 476, 272, 1948, 15893, 540, 4737, 538, 26417, 3758, 454, 1038, 10710, 3497, 636, 815, 476, 271, 1948, 992, 538, 10710, 4900, 602, 26417, 4737, 568, 10710, 547, 454, 1038, 585, 4737, 538, 1224, 12803, 912, 2018, 952, 887, 1233, 636, 538, 1883, 4900, 912, 3546, 10710, 4900, 314, 338, 8491, 3497, 636, 316, 815, 4737, 454, 3546, 10710, 3497, 636, 815, 10710, 3497, 636, 1341, 476, 272, 454, 2018, 887, 1233, 636, 815, 887, 1233, 636, 1341, 476, 272, 454, 27030, 825, 2132, 10710, 4900, 7531, 3698, 4729, 318, 28785, 560, 6600, 2830, 1229, 16344, 17575, 267, 4652, 2830, 1229, 16344, 17575, 2187, 825, 5727, 31262, 547, 4729, 1079, 8638, 540, 22012, 543, 4652, 2830, 1229, 1239, 1996, 1142, 824, 12163, 8931, 825, 1948, 31711, 13944, 2450, 454, 825, 2450, 815, 476, 2412, 454, 825, 12301, 269, 21683, 13640, 4461, 9131, 31320, 7456, 629, 1564, 1125, 11172, 815, 2450, 454, 825, 12301, 269, 21683, 13640, 4461, 9131, 31320, 6745, 527, 956, 1125, 11172, 815, 2450, 454, 825, 12301, 6745, 1157, 318, 1706, 4461, 263, 9471, 8782, 18485, 3299, 799, 8782, 332, 1994, 3299, 10297, 1125, 284, 21653, 268, 1015, 994, 8931, 825, 1948, 31711, 4729, 7182, 454, 825, 12301, 11859, 3916, 9230, 10384, 267, 5611, 271, 4917, 825, 12301, 269, 2643, 574, 263, 8987, 271, 269, 276, 267, 271, 269, 276, 4917, 8931, 825, 1948, 31711, 519, 1305, 540, 9343, 596, 1616, 547, 4729, 454, 825, 1318, 342, 2077, 343, 11133, 815, 476, 3066, 454, 825, 1318, 342, 2077, 2106, 636, 815, 476, 1789, 454, 825, 1318, 342, 2077, 345, 11133, 815, 476, 4029, 454, 825, 1318, 342, 2077, 331, 739, 11133, 815, 476, 3953, 454, 825, 1318, 342, 2077, 4900, 815, 1496, 2431, 342, 2077, 343, 11133, 267, 1318, 342, 2077, 2106, 636, 267, 1318, 342, 2077, 345, 11133, 267, 1318, 342, 2077, 331, 739, 11133, 2639, 8931, 825, 1948, 5649, 1312, 519, 22012, 543, 4652, 2830, 1229, 11483, 309, 6119, 454, 825, 22012, 16059, 815, 1224, 32269, 6600, 2830, 1229, 16344, 17575, 267, 1318, 342, 2077, 4900, 264, 3097, 825, 4652, 2830, 1229, 16059, 815, 1224, 32269, 263, 684, 325, 2830, 1229, 16344, 17575, 267, 1318, 342, 2077, 4900, 264, 3097, 8931, 825, 1948, 31711, 3259, 540, 1239, 547, 581, 28367, 454, 825, 1535, 815, 5286, 30784, 1052, 12759, 9230, 684, 325, 2830, 1229, 16059, 314, 271, 6012, 272, 281, 316, 21875, 8931, 825, 1948, 5522, 582, 1312, 519, 22012, 543, 4652, 2830, 1229, 1239, 454, 825, 12301, 19502, 3287, 267, 4652, 2830, 1229, 16059, 314, 271, 6012, 272, 281, 3910, 6003, 815, 1412, 4462, 325, 2830, 1229, 3299, 2681, 815, 1412, 258, 290, 271, 290, 271, 290, 271, 5073, 825, 12301, 19502, 3287, 267, 22012, 16059, 314, 271, 6012, 272, 281, 3910, 6003, 815, 1412, 293, 2830, 1229, 5073, 8931, 825, 1948, 31711, 4729, 10297, 454, 825, 12301, 26644, 3488, 293, 2830, 1229, 5288, 1133, 325, 2830, 1229, 4578, 585, 519, 2473, 19024, 540, 519, 654, 2077, 540, 23227, 1807, 667, 5073, 825, 12301, 11859, 16932, 3488, 20988, 7089, 5073, 825, 12301, 269, 29786, 3488, 303, 3789, 630, 332, 264, 5073, 825, 12301, 269, 5586, 754, 10857, 665, 815, 1412, 21639, 2451, 3299, 23935, 1125, 815, 2450, 268, 1015, 994, 8931, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 8931, 825, 4729, 318, 28785, 560, 3488, 11687, 339, 7434, 279, 331, 1075, 320, 269, 1704, 269, 274, 269, 1556, 269, 1321, 325, 2830, 1229, 305, 3633, 302, 3299, 1412, 11687, 339, 7434, 279, 331, 1075, 320, 269, 1704, 269, 274, 269, 1556, 269, 1321, 305, 3633, 302, 10807, 0, 18851, 1230, 289, 582, 630, 297, 820, 27439, 26919, 267, 476, 1708, 271, 2020, 825, 7732, 585, 15205, 543, 15025, 609, 9786, 22226, 13378, 454, 825, 14449, 538, 570, 306, 309, 1106, 780, 825, 1411, 666, 1265, 1346, 1934, 912, 825, 4179, 2517, 326, 603, 889, 2593, 8276, 2222, 7809, 20324, 582, 30395, 518, 6261, 3205, 1275, 30942, 692, 825, 1411, 666, 849, 2328, 707, 1378, 14449, 269, 3807, 2328, 513, 3758, 1141, 1142, 1899, 454, 825, 6238, 609, 513, 5401, 267, 1287, 513, 9184, 267, 1287, 519, 3210, 269, 1411, 666, 1039, 2417, 454, 825, 1344, 9674, 676, 1776, 9184, 2094, 713, 3009, 5337, 2803, 3388, 454, 825, 1310, 519, 1101, 1079, 9587, 563, 12163, 5228, 27967, 342, 340, 21424, 1104, 1184, 607, 535, 342, 2889, 322, 454, 5814, 4351, 454, 5228, 17511, 1104, 667, 1112, 267, 16515, 921, 267, 5742, 7531, 5035, 1230, 289, 582, 24998, 2187, 825, 5727, 7435, 956, 7762, 7209, 543, 6114, 780, 1038, 2433, 12407, 7209, 18316, 281, 8606, 17575, 540, 570, 306, 309, 7726, 270, 12585, 3758, 563, 1038, 2433, 12407, 2887, 3724, 8548, 612, 1137, 281, 16515, 921, 540, 6835, 547, 3442, 689, 543, 454, 2018, 2132, 950, 513, 3210, 3085, 1405, 2743, 519, 6015, 12939, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 7209, 18316, 281, 1193, 2676, 4449, 2887, 3724, 8548, 612, 1137, 281, 5742, 314, 307, 340, 921, 314, 1598, 267, 3267, 3910, 7183, 316, 815, 7183, 2187, 1038, 5727, 20472, 528, 1505, 454, 1038, 8173, 1038, 1582, 6155, 21648, 564, 815, 1230, 289, 582, 269, 2903, 7272, 3205, 1275, 9638, 3205, 1275, 18316, 994, 1038, 952, 2887, 3724, 8548, 612, 1137, 912, 2018, 1582, 269, 6420, 3724, 8548, 612, 1137, 815, 2887, 3724, 8548, 612, 1137, 454, 1038, 3116, 912, 2018, 1582, 269, 6420, 3724, 8548, 612, 1137, 815, 9497, 28989, 267, 594, 4769, 1405, 1174, 602, 1701, 2676, 14030, 8587, 834, 27745, 596, 556, 874, 19189, 602, 286, 20350, 14030, 8587, 834, 296, 6415, 711, 2386, 1018, 596, 1611, 1701, 2020, 825, 1219, 1205, 318, 24978, 4311, 267, 13214, 281, 1193, 267, 12939, 284, 3445, 267, 3181, 1872, 25716, 264, 9847, 1193, 912, 1038, 5727, 16849, 513, 5048, 538, 3210, 547, 2387, 638, 2044, 319, 1210, 519, 7209, 454, 2018, 10471, 16041, 780, 2018, 2433, 12407, 13214, 281, 634, 5048, 585, 519, 7762, 547, 4431, 547, 563, 2018, 2433, 12407, 12939, 281, 634, 6015, 1871, 538, 25576, 757, 630, 271, 268, 1911, 264, 602, 513, 454, 3546, 3210, 1590, 2743, 610, 9765, 538, 1931, 547, 581, 10268, 563, 2018, 2433, 12407, 3181, 1872, 281, 1403, 6936, 267, 519, 1655, 6474, 543, 922, 6015, 1871, 786, 454, 3546, 581, 9102, 538, 1840, 547, 3339, 5106, 780, 2018, 2433, 4958, 5281, 281, 634, 3210, 5569, 563, 1038, 8173, 1038, 5542, 267, 6015, 815, 535, 342, 2889, 322, 269, 2169, 847, 3080, 263, 638, 2044, 267, 1582, 6155, 21648, 564, 269, 12399, 15405, 1038, 952, 3181, 1872, 912, 2018, 1820, 6600, 262, 16032, 6474, 281, 2715, 572, 3005, 348, 630, 18183, 2064, 281, 2715 ]

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

[ 519, 2360, 540, 2518, 8337, 543, 2916, 17522, 269, 2368, 2950, 723, 1447, 1379, 547, 3247, 891, 5739, 2242, 267, 899, 1970, 13867, 3885, 610, 1346, 2713, 2282, 26130, 2127, 269, 1924, 267, 1927, 267, 649, 1590, 3717, 909, 543, 960, 2509, 6061, 891, 2042, 1247, 4180, 3025, 814, 513, 2161, 543, 2640, 8449, 780, 14945, 1012, 595, 15960, 22580, 281, 2659, 20429, 25198, 2439, 12441, 596, 917, 602, 3214, 1175, 899, 9358, 666, 948, 1711, 2318, 1689, 286, 1879, 649, 1491, 851, 538, 5717, 267, 2621, 267, 610, 1256, 2671, 938, 4555, 609, 2828, 543, 1920, 267, 649, 2259, 1018, 781, 1634, 607, 834, 322, 15960, 6278, 1701, 1284, 1831, 3742, 2818, 540, 938, 2950, 945, 960, 2509, 5355, 873, 269, 1656, 7058, 1018, 286, 3509, 4079, 1616, 547, 5873, 22400, 8369, 827, 2916, 2962, 1932, 2439, 2162, 11314, 281, 5994, 543, 9523, 692, 4131, 781, 1589, 827, 2081, 649, 666, 3565, 547, 8165, 2916, 1689, 269, 19171, 707, 4064, 543, 4605, 3054, 2921, 1507, 855, 6209, 3268, 693, 1753, 267, 1153, 267, 610, 1369, 707, 8378, 269, 9320, 596, 1223, 1376, 9657, 3292, 267, 2030, 4054, 267, 610, 13599, 9905, 827, 25137, 1648, 269, 3767, 267, 6292, 909, 609, 513, 3659, 543, 1865, 707, 2093, 269, 18461, 23518, 6616, 602, 1169, 1900, 2306, 513, 3017, 2439, 14945, 1012, 29460, 22990, 1304, 32445, 692, 2691, 5185, 609, 2591, 4448, 547, 2916, 1689, 267, 3314, 602, 2679, 30840, 2337, 721, 25483, 1394, 6793, 982, 1354, 269, 2913, 781, 2263, 1614, 1898, 30840, 7592, 281, 1582, 18221, 267, 1966, 9010, 267, 543, 5698, 780, 2162, 8682, 5025, 16346, 281, 18833, 3776, 2383, 692, 18455, 3222, 540, 938, 1378, 4606, 267, 9342, 267, 543, 7687, 2636, 721, 547, 3251, 9350, 1282, 2352, 3871, 269, 8347, 8026, 11009, 5751, 267, 971, 607, 2620, 7244, 267, 9066, 267, 610, 30998, 267, 799, 666, 2333, 1582, 18221, 780, 2971, 11644, 281, 9650, 995, 22165, 3107, 692, 306, 527, 20354, 543, 2673, 707, 4064, 269, 10312, 1152, 593, 707, 7362, 1765, 10623, 601, 922, 2067, 11733, 607, 596, 13236, 538, 543, 856, 269, 24269, 707, 2247, 18389, 619, 630, 663, 621, 786, 1070, 9900, 3391, 707, 3007, 1394, 547, 707, 7362, 269, 15566, 3257, 713, 585, 1079, 3764, 3232, 267, 2810, 942, 7930, 269, 18564, 1022, 3604, 538, 22196, 1524, 543, 9363, 5059, 780, 2162, 9046, 4149, 6295, 281, 15531, 10298, 692, 2414, 10994, 2916, 1689, 2152, 267, 649, 991, 3860, 3206, 543, 5499, 2093, 269, 16505, 1524, 1950, 2042, 883, 4130, 2694, 543, 16540, 2009, 3435, 269, 5457, 267, 972, 781, 1419, 811, 982, 835, 1259, 547, 4194, 513, 4161, 2439, 2971, 11314, 281, 11020, 10445, 532, 29140, 692, 4415, 513, 7649, 267, 3442, 513, 2199, 2825, 3390, 596, 1312, 1416, 827, 269, 3503, 1524, 782, 519, 1761, 3435, 596, 666, 1589, 540, 267, 1100, 2339, 875, 3552, 789, 1522, 3280, 256, 30850, 267, 2824, 707, 1283, 1614, 2093, 543, 13217, 873, 2417, 269, 9181, 875, 7598, 891, 3435, 1131, 1764, 707, 2146, 9797, 780, 2162, 21664, 281, 11554, 8625, 692, 3528, 24625, 908, 543, 5885, 1142, 824, 267, 649, 1628, 2178, 4296, 602, 1291, 547, 3152, 10781, 269, 12243, 1740, 7586, 5809, 1367, 9739, 543, 5932, 513, 7104, 3196, 14957, 585, 2916, 5126, 780, 2971, 6828, 5741, 281, 5269, 513, 16338, 5403, 518, 692, 1103, 6887, 540, 2185, 267, 1374, 513, 16968, 8716, 2146, 9525, 538, 5466, 2916, 1689, 269, 3962, 1268, 1058, 3142, 2189, 1983, 610, 5380, 267, 5807, 5698, 269, 18224, 19297, 1472, 1153, 543, 2228, 547, 8300, 1866, 547, 6443, 707, 2014, 2439, 14945, 29310, 267, 1577, 781, 946, 938, 16012, 1620, 540, 2916, 5126, 267, 1020, 938, 30840, 1983, 267, 543, 4497, 538, 18523, 2962, 547, 2149, 938, 4541, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 16867, 1744, 11232, 267, 6115, 3557, 8274, 540, 7991, 543, 14502, 5441, 454, 1607, 2376, 2488, 513, 24117, 543, 2200, 585, 3450, 2916, 5126, 543, 18523, 6278, 2066, 519, 13241, 6437, 538, 454, 298, 268, 1321, 543, 2362, 2069, 269, 898, 6799, 513, 15520, 17841, 1935, 547, 13241, 3450, 543, 1565, 602, 7740, 1514, 5126, 2152, 16109, 689, 2916, 5222, 267, 543, 1648, 10868, 543, 1646, 2238, 267, 609, 513, 1445, 593, 29355, 543, 12581, 3435, 543, 3527, 269, 901, 1935, 8992, 13241, 21195, 602, 6338, 1514, 5126, 2152, 883, 519, 4928, 607, 606, 7127, 1448, 585, 14236, 519, 2152, 1210, 13241, 269, 589, 1514, 5126, 1935, 2636, 1053, 547, 1118, 2495, 540, 7493, 543, 19635, 13241, 1702, 543, 1983, 998, 1483, 8996, 2152, 13988, 609, 741, 4690, 267, 2833, 267, 9163, 267, 543, 2950, 269, 769, 713, 2376, 267, 649, 1683, 2200, 585, 3450, 13241, 998, 2916, 5126, 543, 18523, 6278, 602, 616, 1373, 15217, 2919, 676, 2516, 538, 12984, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 7763, 643, 1049, 1299, 6184, 2869, 1049, 1315, 26504, 8490, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 2878, 16215, 476, 277, 281, 6478, 6361, 5336, 1926, 16373, 4373, 5331, 596, 1175, 4718, 519, 1034, 5863, 9059, 1397, 267, 2407, 540, 6909, 15361, 543, 24668, 602, 2451, 596, 28617, 2394, 707, 5011, 10413, 256, 1306, 4166, 607, 596, 3893, 1753, 267, 945, 1131, 596, 2995, 827, 713, 9735, 1995, 286, 1411, 1522, 1289, 707, 1655, 3659, 267, 6494, 513, 5048, 547, 707, 1920, 1895, 10004, 267, 610, 1256, 2022, 827, 621, 593, 1514, 2923, 269, 901, 2067, 20882, 547, 2671, 938, 2833, 609, 1866, 568, 1634, 607, 2262, 6361, 2173, 1926, 6725, 269, 898, 781, 3532, 1317, 1004, 4043, 547, 3972, 7840, 689, 2828, 267, 1920, 267, 543, 29872, 1734, 811, 982, 1022, 824, 1106, 540, 10229, 780, 3086, 267, 4952, 952, 596, 941, 4881, 602, 9059, 1397, 269, 1215, 1223, 596, 5000, 5304, 2818, 899, 596, 547, 3262, 519, 2262, 827, 741, 1390, 1995, 286, 2334, 781, 1141, 2262, 6361, 2173, 1926, 2608, 1598, 1538, 625, 265, 2097, 883, 1404, 269, 1635, 2870, 12300, 8090, 1282, 519, 1397, 267, 3246, 5140, 6075, 3028, 267, 543, 1818, 621, 2653, 585, 1004, 547, 2671, 741, 4555, 267, 4213, 666, 2333, 2318, 18388, 543, 3142, 538, 1007, 5561, 780, 4131, 781, 1413, 693, 930, 2081, 547, 4019, 891, 2994, 538, 1483, 1272, 1384, 272, 269, 8073, 6490, 22789, 16474, 757, 281, 6056, 1394, 547, 519, 9059, 1397, 1383, 269, 1548, 1500, 621, 1796, 856, 286, 12984, 972, 513, 2027, 8945, 602, 14281, 3025, 286, 2107, 6148, 519, 4012, 6509, 1705, 1945, 6397, 543, 2186, 585, 2576, 538, 519, 5304, 286, 1452, 2189, 267, 2671, 762, 8090, 1711, 2984, 602, 1004, 786, 6923, 1616, 547, 2911, 827, 609, 1866, 780, 1103, 1870, 2474, 267, 649, 1289, 891, 834, 339, 1779, 12153, 1701, 589, 2911, 9594, 568, 513, 1114, 11868, 4183, 610, 2259, 2966, 547, 6952, 1004, 1055, 9856, 267, 6028, 513, 9434, 12705, 543, 11121, 6643, 269, 1280, 3236, 267, 17677, 21698, 676, 23664, 2023, 20730, 2709, 14538, 3636, 12897, 2390, 12625, 1107, 513, 2241, 23972, 602, 2306, 8436, 1745, 10950, 543, 15874, 1247, 4758, 873, 1945, 17175, 547, 1865, 609, 1866, 780, 273, 269, 5548, 1853, 4934, 9227, 21436, 6796, 281, 1879, 5561, 723, 11108, 2833, 267, 789, 2811, 1454, 811, 2693, 547, 4363, 513, 1587, 610, 3028, 547, 1866, 269, 1924, 875, 798, 596, 1683, 1283, 27677, 577, 6075, 3028, 286, 3371, 616, 1614, 1883, 2798, 1384, 320, 269, 19415, 5402, 547, 1174, 1142, 6075, 781, 2115, 563, 321, 269, 2142, 7874, 267, 5363, 267, 543, 3461, 950, 5466, 4145, 563, 322, 269, 3619, 519, 3063, 13304, 8164, 2009, 1107, 9670, 543, 10508, 532, 5561, 5932, 2178, 14017, 543, 7512, 4687, 780, 2690, 1383, 267, 2098, 1952, 657, 267, 606, 2228, 21489, 10685, 518, 267, 2488, 9058, 6075, 3028, 998, 922, 1863, 11288, 1312, 2081, 267, 6905, 2132, 3609, 267, 543, 6131, 6049, 1489, 2319, 269, 4256, 7029, 547, 6126, 6300, 11825, 2164, 538, 9118, 2318, 8039, 543, 3277, 23552, 780, 274, 269, 5269, 19457, 14168, 281, 7053, 267, 4213, 991, 547, 4894, 7496, 602, 2061, 1004, 689, 6158, 827, 741, 2472, 610, 2533, 269, 2368, 2500, 2409, 1331, 1384, 320, 269, 11559, 5955, 593, 7270, 267, 1514, 2923, 5867, 267, 610, 2689, 4609, 563, 321, 269, 20644, 15314, 585, 13288, 2828, 267, 971, 607, 10958, 9479, 610, 12600, 9388, 563, 322, 269, 2422, 6216, 539, 814, 6255, 4711, 547, 796, 1518, 7391, 2066, 1585, 9055, 780, 288, 2754, 1572, 700, 2313, 15328, 27027, 1281, 713, 1134, 269, 1358, 6133, 29586, 23815, 2472, 543, 8362, 4497, 609, 741, 11655, 593, 17749, 1210, 1808, 814, 6255, 4711, 269, 11426, 619, 2648, 2921, 6337, 540, 10477, 8602, 23038, 535, 714, 4506, 2476, 538, 519, 8685, 543, 11090, 3101, 700, 2313, 267, 10451, 5214, 32398, 543, 8716, 1761, 18046, 547, 2119, 856, 741, 1187, 3688, 780, 3528, 6220, 891, 3741, 883, 4948, 4205, 267, 4213, 666, 7148, 883, 519, 1379, 540, 2262, 6361, 2173, 1926, 6725, 543, 1332, 28354, 269, 1656, 3314, 267, 1985, 942, 596, 1294, 606, 14222, 1404, 267, 2972, 513, 8949, 7594, 267, 610, 3605, 606, 6909, 1433, 267, 1810, 1405, 7340, 547, 2671, 707, 15131, 609, 1866, 1107, 596, 2760, 917, 4171, 1554, 596, 1522, 6505, 523, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 4312, 8854, 547, 865, 1082, 2982, 538, 519, 2063, 1906, 1296, 630, 628, 3471, 547, 1250, 8004, 23136, 1070, 602, 594, 666, 1405, 1832, 3950, 540, 873, 782, 269, 1703, 3884, 1405, 2614, 942, 547, 2141, 2328, 513, 2689, 610, 5758, 267, 855, 693, 2547, 594, 1616, 547, 1832, 513, 2594, 540, 1018, 594, 4312, 1044, 3257, 269, 1975, 334, 8814, 10332, 910, 594, 3513, 1419, 4766, 519, 10678, 540, 519, 1404, 269, 1809, 1287, 594, 1589, 602, 519, 4214, 540, 513, 2731, 1434, 1404, 568, 835, 799, 568, 4502, 7487, 7466, 563, 303, 4631, 616, 585, 835, 1268, 543, 1331, 9204, 543, 4388, 538, 8225, 9489, 269, 634, 7305, 540, 12937, 568, 693, 519, 5377, 563, 2304, 19278, 6601, 1777, 23765, 7574, 1397, 267, 5310, 513, 3524, 601, 547, 6307, 7377, 335, 1231, 269, 634, 1915, 4408, 616, 519, 3312, 4408, 267, 2943, 621, 4667, 6004, 269, 24434, 1121, 20047, 519, 3312, 6307, 7377, 335, 1231, 607, 1010, 562, 15967, 269, 7102, 3118, 267, 519, 3237, 616, 24401, 4979, 519, 1453, 543, 1919, 616, 3478, 856, 540, 1852, 563, 763, 1397, 6238, 609, 519, 6602, 540, 3808, 543, 575, 698, 3022, 2777, 5234, 267, 3843, 547, 1205, 2150, 1221, 269, 634, 855, 2401, 814, 547, 5577, 936, 547, 519, 7450, 547, 1577, 538, 519, 2384, 17507, 609, 519, 556, 10864, 1228, 1453, 538, 6287, 269, 2986, 1576, 267, 6723, 24434, 543, 554, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17504, 6361, 5336, 1926, 16373, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 16373, 1315, 5564, 850, 767, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

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

[ 7839, 3007, 267, 519, 1007, 2451, 267, 519, 563, 26596, 5112, 630, 6577, 658, 540, 2596, 2924, 547, 17051, 264, 320, 2101, 24888, 547, 519, 3540, 2112, 267, 713, 538, 519, 8087, 2829, 6565, 689, 2962, 538, 3210, 547, 519, 3540, 2924, 3350, 267, 855, 7022, 705, 12646, 13274, 11181, 781, 31414, 605, 17474, 3217, 1198, 269, 1809, 519, 9371, 540, 602, 1554, 28815, 543, 2799, 2442, 1489, 585, 519, 3540, 2924, 3350, 538, 519, 3275, 543, 1296, 602, 4553, 267, 519, 15292, 5280, 2844, 269, 4728, 568, 12926, 519, 3923, 950, 1053, 543, 3610, 2263, 519, 3540, 2924, 3350, 607, 851, 540, 741, 2090, 538, 7819, 1686, 519, 12779, 344, 4099, 781, 269, 0, 1607, 1957, 593, 519, 2591, 540, 6107, 630, 684, 9984, 7694, 538, 579, 326, 7701, 568, 581, 8045, 547, 2232, 519, 1699, 7694, 2591, 941, 269, 15272, 13864, 568, 519, 13864, 540, 1762, 1004, 267, 3989, 676, 519, 8087, 6082, 607, 512, 23439, 543, 25367, 2069, 1131, 948, 2232, 519, 1983, 6433, 930, 2477, 1107, 1851, 873, 2220, 15909, 267, 519, 2121, 615, 4133, 267, 2206, 12940, 11783, 12910, 6107, 13864, 543, 1514, 771, 1263, 1771, 3136, 547, 4161, 3609, 15670, 547, 1020, 3811, 543, 4264, 7459, 563, 22013, 1853, 532, 1689, 281, 4872, 543, 519, 6107, 13864, 4161, 1519, 1582, 31193, 630, 7918, 829, 1298, 264, 1966, 6061, 630, 6078, 829, 1298, 264, 543, 10182, 547, 269, 769, 21562, 267, 519, 11668, 1554, 1058, 2285, 721, 606, 4316, 547, 2232, 2565, 7694, 2591, 267, 2523, 1851, 519, 6107, 1256, 1498, 269, 968, 1492, 4161, 540, 6107, 13864, 568, 31903, 676, 519, 1249, 602, 476, 3445, 260, 968, 5466, 6107, 13864, 4061, 7125, 585, 5647, 27260, 312, 1926, 13864, 568, 5667, 565, 15344, 1510, 5466, 1412, 11445, 603, 797, 262, 827, 6061, 6107, 13864, 723, 1419, 4767, 519, 4161, 540, 269, 589, 5108, 693, 7196, 281, 5466, 519, 2518, 6107, 13864, 6433, 543, 8744, 4195, 3435, 547, 519, 1158, 781, 7887, 2591, 269, 2871, 5875, 2465, 1164, 6107, 13864, 568, 513, 4161, 2220, 539, 523, 8843, 609, 1034, 824, 2220, 539, 880, 4346, 267, 5466, 1312, 7293, 543, 7814, 673, 2591, 513, 269, 18601, 519, 2591, 540, 1426, 3354, 543, 6107, 13864, 538, 5045, 21562, 998, 2244, 6963, 4507, 7493, 5045, 21562, 781, 2250, 3609, 540, 32044, 269, 1133, 655, 7877, 7341, 616, 3274, 711, 2462, 2614, 547, 2232, 519, 7525, 4161, 540, 1804, 4336, 2816, 5137, 1732, 30015, 1762, 1004, 609, 519, 1318, 563, 11328, 1613, 281, 14656, 519, 1983, 7934, 547, 2232, 6107, 13864, 7694, 2591, 616, 711, 1152, 547, 798, 609, 519, 2179, 540, 6009, 2813, 267, 855, 849, 609, 519, 269, 2290, 540, 519, 1034, 10296, 2042, 585, 575, 327, 3570, 568, 6157, 13864, 519, 1158, 4871, 630, 1001, 277, 264, 5359, 602, 476, 4366, 260, 540, 31655, 538, 575, 327, 3570, 616, 269, 2991, 1296, 540, 6454, 267, 6107, 13864, 568, 1305, 547, 4473, 538, 476, 1001, 277, 538, 21365, 6107, 13864, 2591, 693, 519, 2199, 543, 3084, 269, 18601, 519, 6107, 13864, 4161, 281, 3486, 4245, 4121, 602, 666, 581, 3730, 585, 2849, 665, 1723, 28114, 1659, 1794, 340, 533, 699, 4275, 269, 1677, 581, 4023, 267, 519, 1888, 540, 519, 1079, 6377, 5870, 568, 968, 344, 1926, 7694, 538, 519, 3390, 540, 6107, 7694, 538, 21562, 7283, 513, 4105, 4161, 585, 519, 563, 272, 4367, 476, 277, 476, 273, 6107, 13864, 7341, 538, 562, 12342, 281, 4879, 476, 1015, 602, 1281, 15073, 682, 547, 2232, 519, 6107, 13864, 4161, 269, 476, 1789, 7341, 547, 2232, 6107, 13864, 476, 1724, 7121, 540, 968, 18431, 538, 267, 1101, 856, 892, 610, 3068, 2591, 1373, 22921, 1851, 519, 2324, 4057, 269, 15223, 781, 7887, 4604, 24578, 7566, 547, 2232, 6107, 13864, 543, 2069, 519, 3435, 547, 938, 6107, 13864, 4161, 991, 547, 581, 269, 1403, 649, 666, 3927, 2232, 6107, 13864, 267, 711, 1152, 786, 649, 12740, 6634, 540, 5045, 12869, 753, 856, 540, 6710, 267, 855, 649, 786, 849, 581, 2111, 547, 1747, 269, 634, 22406, 9588, 540, 519, 6107, 7694, 4161, 814, 7930, 11579, 3603, 519, 1857, 781, 649, 1616, 547, 2232, 1883, 11051, 267, 2523, 14519, 543, 563, 11754, 7675, 6107, 13864, 998, 1480, 2924, 12820, 262, 14540, 543, 3486, 23356, 657, 547, 4161, 519, 10220, 540, 269, 1677, 1445, 593, 5466, 1483, 13864, 561, 652, 8739, 268, 3255, 543, 2591, 3070, 2864, 4540, 2591, 267, 3255, 543, 2994, 267, 543, 269, 18601, 2038, 1153, 6028, 543, 6107, 13864, 281, 2034, 799, 9607, 519, 4161, 540, 8739, 3491, 32216, 5610, 540, 1762, 269, 1215, 891, 2950, 2232, 713, 4161, 1223, 3337, 519, 2104, 540, 5499, 1514, 11639, 5466, 519, 6107, 7694, 563, 763, 3483, 540, 713, 2376, 568, 547, 2263, 519, 4161, 540, 13864, 1851, 519, 6107, 538, 32650, 5984, 543, 547, 4983, 875, 6437, 666, 581, 556, 2000, 1933, 539, 547, 1118, 621, 269, 8490, 1055, 540, 1099, 657, 2925, 781, 1995, 543, 4245, 689, 922, 6107, 5752, 538, 7532, 21562, 267, 649, 616, 7700, 547, 6061, 519, 4161, 540, 563, 763, 2518, 22631, 4721, 585, 32014, 6107, 1982, 6663, 547, 2333, 519, 2308, 1464, 540, 6107, 538, 519, 5663, 5823, 543, 547, 2333, 519, 7535, 540, 13007, 269, 25550, 3609, 5943, 547, 2232, 6107, 13864, 519, 25680, 2591, 543, 1390, 3255, 602, 6107, 1459, 538, 21562, 269, 634, 1267, 540, 713, 29373, 568, 513, 8978, 1297, 540, 32014, 6107, 609, 713, 1297, 538, 2247, 267, 519, 2518, 4161, 540, 2551, 2208, 786, 540, 1164, 6107, 13864, 543, 771, 523, 325, 13361, 1047, 618, 616, 711, 9619, 267, 4872, 269, 1496, 4338, 17928, 7709, 734, 316, 0, 4537, 6832, 1353, 3391, 454, 1607, 1353, 3391, 543, 1102, 4919, 585, 13275, 12335, 781, 15567, 3780, 32614, 2709, 5758, 543, 2079, 593, 4798, 267, 6698, 267, 543, 824, 5339, 3457, 1336, 538, 519, 1257, 2263, 1576, 5869, 781, 5399, 540, 3332, 2326, 267, 1519, 6054, 543, 7117, 261, 320, 8424, 269, 769, 16664, 267, 13275, 12335, 781, 13357, 827, 1379, 267, 20440, 267, 13587, 527, 267, 543, 12638, 267, 519, 1614, 26734, 2062, 339, 749, 16664, 781, 4473, 547, 4622, 540, 1085, 582, 1633, 855, 849, 4412, 1127, 344, 602, 2104, 15438, 786, 13956, 689, 7333, 31309, 267, 513, 8284, 7952, 23071, 2889, 323, 4765, 676, 1010, 16529, 7385, 267, 14799, 16664, 267, 646, 15294, 619, 4622, 546, 684, 4754, 267, 3587, 4622, 267, 543, 15920, 24271, 523, 2456, 547, 6146, 7333, 31309, 543, 1010, 14930, 269, 13206, 527, 513, 12335, 538, 2648, 1353, 3391, 4267, 267, 596, 666, 4647, 873, 538, 7824, 3898, 689, 938, 3896, 2596, 3758, 3898, 602, 666, 581, 22434, 543, 2845, 593, 2390, 3875, 3457, 596, 666, 18985, 713, 1210, 707, 26099, 267, 5672, 267, 16979, 267, 19545, 5467, 610, 16335, 269, 9956, 4535, 538, 24469, 538, 476, 14444, 275, 267, 13275, 12335, 729, 513, 31075, 267, 10564, 267, 543, 7654, 519, 1034, 4583, 5856, 267, 2479, 693, 2547, 476, 4343, 4249, 267, 476, 5611, 5067, 26506, 267, 543, 1079, 2239, 9954, 723, 1044, 11911, 547, 1864, 267, 543, 1010, 4249, 723, 1044, 12261, 883, 811, 982, 476, 2004, 4654, 563, 9359, 4974, 12335, 1353, 3391, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 932, 2084, 585, 513, 544, 1749, 28026, 3781, 521, 5326, 1353, 3391, 13275, 12335, 3134, 889, 1433, 798, 596, 2731, 991, 713, 19545, 540, 513, 544, 1749, 28026, 3781, 521, 5326, 1353, 3391, 13275, 12335, 3134, 889, 1433, 621, 3217, 803, 476, 1240, 3108, 1175, 547, 1265, 519, 1318, 4647, 3095, 267, 543, 1776, 476, 275, 3108, 547, 19472, 621, 4950, 1223, 581, 15280, 269, 7392, 540, 960, 15567, 3780, 32614, 568, 513, 3942, 13357, 1298, 1359, 593, 519, 26923, 540, 519, 2140, 1915, 543, 519, 31774, 543, 2669, 540, 519, 6205, 540, 519, 18272, 1231, 267, 22415, 639, 14697, 639, 1317, 12335, 1759, 519, 12416, 593, 3140, 2621, 267, 621, 949, 849, 581, 5219, 547, 607, 513, 1686, 1404, 563, 291, 18769, 1353, 3391, 519, 13357, 540, 15567, 3780, 32614, 676, 13275, 12335, 2868, 339, 267, 678, 710, 28496, 543, 3094, 8725, 554, 2117, 22620, 25231, 2144, 2754, 3610, 1210, 12416, 1353, 3391, 281, 519, 13357, 540, 329, 592, 3780, 32614, 949, 12416, 1353, 3391, 281, 519, 13357, 540, 15567, 3780, 32614, 269, 901, 1353, 3391, 568, 2966, 547, 581, 606, 7317, 5360, 2939, 547, 7819, 5716, 16222, 779, 2504, 540, 13275, 12335, 779, 15567, 3780, 32614, 519, 2179, 540, 1344, 2139, 827, 13275, 12335, 543, 1010, 1568, 568, 11566, 267, 865, 713, 3391, 568, 711, 5921, 547, 581, 513, 3102, 2707, 2864, 267, 621, 568, 513, 269, 634, 4930, 538, 891, 1353, 10274, 616, 711, 5921, 547, 11604, 610, 4612, 1022, 1880, 24299, 693, 519, 2588, 1695, 12335, 13037, 789, 616, 5921, 267, 3079, 267, 547, 581, 606, 3872, 17259, 11325, 1448, 547, 1620, 543, 11981, 519, 1404, 630, 514, 1022, 2504, 693, 1022, 16222, 264, 513, 3787, 811, 8499, 269, 9956, 781, 18296, 6045, 609, 9735, 1353, 759, 537, 637, 18296, 1353, 3391, 5225, 1294, 519, 1292, 2985, 585, 519, 2347, 1404, 609, 28706, 4967, 585, 1142, 6429, 4367, 547, 18296, 18296, 281, 1966, 1404, 543, 20947, 13357, 519, 18296, 543, 1566, 3559, 807, 1016, 7120, 563, 19365, 12335, 729, 513, 4583, 7005, 31075, 543, 10564, 1010, 1034, 4583, 4249, 1331, 281, 18296, 267, 21604, 543, 20246, 267, 29165, 642, 267, 544, 1749, 28026, 781, 3781, 5326, 267, 543, 16664, 20130, 4249, 723, 1044, 12261, 883, 1169, 2101, 1893, 543, 616, 5340, 811, 1419, 982, 1346, 540, 1022, 824, 31075, 269, 901, 1353, 3391, 786, 1445, 3007, 593, 519, 2702, 2157, 540, 1053, 267, 543, 1808, 2238, 267, 4901, 2055, 267, 543, 952, 519, 4798, 540, 12335, 781, 16664, 616, 8268, 538, 1447, 1950, 3332, 267, 3226, 2413, 3332, 609, 1762, 2937, 3197, 267, 1053, 786, 269, 634, 2347, 1568, 540, 13275, 12335, 630, 30457, 264, 568, 606, 554, 559, 13895, 9542, 540, 519, 536, 731, 779, 13977, 268, 5722, 4249, 4843, 609, 1256, 811, 554, 559, 13895, 14046, 6085, 2456, 676, 519, 2278, 540, 968, 328, 2648, 269, 9956, 781, 15567, 3780, 32614, 6045, 267, 689, 707, 11967, 12335, 2707, 269, 9956, 1353, 10274, 1934, 596, 786, 1265, 513, 2143, 2079, 540, 5697, 4249, 267, 1519, 1344, 593, 519, 2101, 3197, 543, 4798, 267, 1353, 2055, 267, 14391, 725, 267, 543, 519, 26974, 3740, 1686, 540, 1142, 12416, 563, 4537, 6832, 1353, 3391, 454, 13014, 2631, 540, 13275, 12335, 781, 5929, 1404, 609, 2407, 1353, 4967, 267, 1519, 3197, 267, 4729, 267, 4798, 267, 1883, 10207, 267, 1271, 10530, 543, 6700, 1353, 2055, 10002, 871, 519, 10848, 540, 12335, 609, 519, 18913, 1257, 547, 713, 1404, 910, 4998, 585, 1053, 543, 5640, 540, 782, 6502, 269, 5530, 3391, 585, 12335, 779, 5067, 26506, 12335, 781, 5067, 26506, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 269, 19151, 543, 20246, 4044, 1807, 568, 513, 2347, 2228, 1353, 3391, 547, 12335, 781, 21604, 543, 20246, 946, 621, 547, 1174, 519, 4729, 267, 3197, 267, 543, 4798, 5299, 10530, 585, 707, 1557, 563, 268, 5261, 12335, 779, 21604, 543, 20246, 676, 1148, 9996, 795, 338, 556, 539, 267, 943, 323, 4367, 2429, 713, 1353, 3391, 3007, 786, 581, 2016, 547, 519, 2702, 1377, 540, 519, 1053, 267, 543, 1808, 2238, 267, 4901, 2055, 267, 543, 3584, 786, 581, 13042, 607, 547, 7411, 563, 268, 5530, 3391, 585, 18296, 18296, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 827, 18296, 563, 2026, 728, 689, 18296, 779, 4651, 267, 12335, 779, 1034, 4583, 15293, 338, 1331, 602, 540, 15567, 3780, 32614, 538, 519, 13357, 15567, 3780, 32614, 543, 7333, 31309, 538, 16664, 1312, 540, 891, 269, 634, 12335, 21102, 518, 676, 575, 776, 3109, 6229, 4901, 3391, 476, 272, 2995, 513, 2370, 827, 530, 3805, 543, 1010, 1272, 530, 3805, 729, 4535, 538, 476, 11260, 278, 543, 5030, 538, 606, 29152, 720, 609, 5134, 816, 5672, 326, 2958, 528, 269, 16840, 540, 522, 13791, 12335, 13037, 2069, 2813, 519, 968, 1001, 278, 1353, 3391, 585, 15567, 3780, 32614, 892, 891, 10372, 941, 2966, 585 ]

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

[ 2047, 269, 0, 2274, 1430, 11529, 543, 12404, 1740, 723, 1044, 13736, 585, 5553, 267, 3246, 5159, 543, 29048, 609, 513, 11684, 5420, 585, 2870, 6198, 543, 16560, 3688, 269, 1879, 621, 2501, 547, 14446, 1818, 267, 16463, 543, 12404, 2709, 2189, 3255, 547, 2263, 27724, 543, 5935, 2553, 602, 1267, 538, 10058, 267, 835, 6361, 8584, 29292, 4773, 269, 901, 1576, 1770, 12538, 883, 1585, 2409, 267, 2645, 267, 543, 2326, 2404, 609, 16463, 11529, 543, 875, 891, 2609, 4019, 547, 4207, 6752, 14446, 1374, 269, 3414, 3946, 6823, 3785, 543, 7811, 5717, 267, 1053, 786, 2744, 606, 7071, 585, 519, 7499, 1761, 7915, 538, 16463, 543, 554, 1938, 1247, 3384, 1983, 602, 5512, 873, 547, 4739, 22192, 267, 4264, 267, 543, 3466, 23293, 17960, 780, 8867, 1430, 17943, 281, 9537, 267, 19120, 885, 267, 543, 19369, 454, 24801, 13430, 6524, 11362, 883, 1808, 16463, 11529, 2553, 4143, 547, 14446, 5137, 267, 621, 781, 1898, 547, 1174, 1114, 2010, 540, 16463, 338, 2139, 543, 741, 9757, 7907, 269, 28871, 8246, 16463, 338, 1331, 10448, 2389, 10165, 16463, 267, 669, 4435, 2389, 10165, 16463, 267, 647, 27827, 267, 543, 16678, 32675, 899, 32613, 1807, 610, 13131, 269, 3962, 1826, 3091, 3982, 4162, 5078, 585, 1880, 3156, 282, 4061, 267, 8939, 3617, 16463, 585, 513, 1788, 3340, 6297, 7156, 1759, 593, 5551, 15312, 267, 15006, 267, 8112, 267, 543, 9403, 780, 5629, 6074, 267, 8600, 986, 3369, 728, 610, 8237, 16463, 3322, 1896, 3268, 267, 1519, 7738, 267, 13204, 7992, 267, 5969, 267, 543, 21352, 532, 269, 7743, 7041, 5849, 3811, 27724, 543, 5935, 3157, 1524, 519, 1899, 269, 4841, 1590, 1451, 547, 2708, 519, 2298, 540, 741, 2326, 267, 2697, 1022, 20541, 687, 267, 543, 2308, 1655, 2853, 585, 8497, 543, 7393, 16463, 10286, 3270, 998, 1585, 14555, 5574, 780, 300, 13783, 9828, 281, 22911, 4813, 532, 5288, 269, 16959, 1744, 12686, 454, 14343, 15365, 10521, 3119, 4485, 1827, 16463, 11529, 2553, 6964, 538, 14446, 2504, 281, 6632, 8108, 543, 3819, 5935, 269, 5637, 2409, 6556, 11141, 2164, 4470, 593, 519, 5497, 6364, 267, 2943, 1142, 7569, 1808, 5773, 543, 2645, 1115, 780, 2162, 22911, 4813, 532, 692, 310, 564, 8108, 14122, 2893, 584, 908, 16463, 609, 1216, 2394, 726, 4192, 2614, 547, 13861, 1472, 28633, 610, 3029, 269, 1635, 7311, 3002, 1282, 713, 1184, 267, 1053, 17108, 7509, 10338, 543, 5000, 11103, 547, 6001, 2417, 267, 3850, 3152, 8897, 538, 8236, 1950, 5546, 269, 4495, 4646, 267, 519, 4062, 1058, 581, 2451, 3768, 626, 32328, 2394, 4628, 12015, 1765, 520, 799, 1448, 267, 922, 3337, 3587, 8628, 780, 1607, 4480, 18327, 2523, 3730, 950, 5958, 908, 5214, 3029, 6273, 676, 2470, 630, 324, 3052, 1421, 6978, 18305, 264, 610, 7493, 9380, 1116, 2609, 8506, 5730, 22441, 269, 1677, 2327, 15325, 543, 2061, 25305, 267, 5265, 5701, 543, 9738, 6632, 268, 11526, 16463, 13144, 11677, 1139, 548, 8112, 5103, 11826, 946, 780, 2971, 8865, 5530, 281, 12634, 2274, 1430, 4035, 601, 787, 5071, 619, 22034, 22911, 4813, 532, 692, 17637, 518, 9291, 2549, 6199, 9727, 11108, 15334, 538, 6632, 8108, 2553, 267, 4749, 6220, 873, 883, 1010, 3134, 11345, 6003, 781, 1164, 15134, 1569, 800, 10070, 269, 3571, 5499, 1935, 20502, 6946, 22762, 1845, 6913, 998, 4274, 12879, 540, 14927, 2989, 16463, 267, 4611, 538, 11617, 11495, 543, 6643, 268, 793, 1746, 3948, 4773, 780, 256, 314, 289, 650, 2549, 6199, 2274, 1430, 4858, 576, 2280, 28488, 10059, 2517, 328, 269, 19112, 584, 2593, 30819, 304, 333, 298, 329, 294, 345, 27970, 994, 265, 289, 650, 2549, 6199, 2274, 1430, 4858, 576, 2280, 910, 12005, 11905, 17041, 1496, 265, 321, 650, 600, 6199, 2593, 265, 28488, 10674, 2517, 4178, 12500, 650, 600, 6199, 2593, 270, 2020, 2162, 16959, 1744, 12686, 692, 291, 787, 5935, 267, 598, 14287, 267, 1281, 711, 4125, 10962, 1216, 883, 519, 1570, 1354, 2324, 621, 269, 5502, 267, 1053, 7048, 593, 7463, 1688, 2645, 267, 544, 24548, 267, 22827, 267, 10523, 267, 543, 2046, 525, 547, 18836, 1106, 543, 2497, 5196, 16463, 6810, 269, 901, 1505, 561, 1742, 3294, 1134, 547, 27101, 267, 12166, 6272, 6353, 676, 2973, 3515, 543, 8325, 7285, 780, 13349, 3819, 5935, 2553, 1331, 2377, 1601, 532, 267, 3181, 1601, 532, 267, 5884, 24408, 1154, 267, 18176, 267, 24208, 267, 543, 6316, 18138, 269, 29923, 891, 13654, 1983, 6087, 1053, 547, 4020, 1785, 12147, 3280, 543, 11617, 13267, 3334, 7533, 547, 3803, 14446, 15885, 780, 2971, 7464, 21509, 7151, 281, 11633, 268, 11900, 18944, 2274, 1430, 595, 32332, 676, 24138, 9410, 692, 9209, 16388, 24138, 9410, 10905, 4853, 15312, 609, 2757, 16463, 11529, 2553, 538, 1010, 4015, 540, 796, 1047, 343, 524, 32332, 269, 1635, 16107, 3819, 5935, 2409, 267, 646, 5932, 12050, 267, 8766, 2065, 6898, 12082, 538, 8856, 4702, 543, 15568, 23477, 269, 2983, 6248, 3270, 5309, 9822, 622, 5347, 7252, 267, 5373, 3007, 547, 17804, 26088, 543, 20020, 15070, 11029, 7648, 538, 2681, 5493, 22863, 780, 256, 314, 305, 12505, 9410, 2274, 1430, 595, 4428, 28488, 10059, 2517, 328, 269, 19112, 584, 2593, 270, 308, 6858, 297, 290, 313, 332, 26666, 994, 265, 305, 12505, 9410, 2274, 1430, 595, 4428, 910, 12005, 11905, 17041, 1496, 265, 1115, 344, 2593, 270, 3333, 641, 24250, 12505, 32354, 6597, 1470, 265, 28488, 10059, 2517, 4178, 269, 1115, 344, 2593, 270, 3333, 641, 24250, 12505, 32354, 6597, 1470, 2020, 18204, 1674, 540, 10049, 281, 26157, 2274, 1430, 609, 19045, 22020, 454, 32458, 19567, 2414, 21592, 16463, 14446, 3564, 6671, 6788, 267, 10128, 14911, 2326, 2488, 3606, 3860, 7399, 269, 13018, 267, 4496, 3334, 2709, 7347, 7293, 1489, 1247, 4946, 3308, 1719, 998, 17804, 18282, 543, 4778, 269, 15019, 17285, 31126, 1331, 21567, 267, 7601, 267, 11956, 267, 8988, 267, 4154, 267, 543, 16243, 5374, 780, 2691, 9256, 19635, 2923, 267, 1697, 28455, 3788, 14063, 269, 15316, 16345, 8069, 7520, 5150, 4296, 1063, 16463, 543, 4496, 267, 4180, 9434, 6617, 2429, 519, 1272, 4783, 540, 513, 8737, 1587, 269, 6201, 540, 2500, 14398, 1161, 1331, 3346, 9160, 267, 3134, 20293, 759, 1231, 267, 543, 2166, 8457, 659, 787, 17218, 1350, 1132, 269, 3958, 267, 7344, 3728, 523, 902, 899, 678, 633, 1206, 267, 575, 668, 332, 1115, 267, 3750, 7410, 267, 543, 25135, 1683, 4244, 1797, 540, 17516, 2789, 6106, 1927, 1510, 13461, 14311, 593, 3114, 7554, 780, 3528, 3695, 10659, 540, 16463, 543, 4496, 267, 1053, 4228, 741, 7499, 6863, 543, 11349, 606, 9450, 5578, 1305, 10858, 2066, 3309, 14446, 6163, 543, 11964, 269, 5015, 267, 17634, 7512, 5647, 267, 11319, 6302, 540, 1018, 13054, 2757, 16463, 11529, 2259, 1369, 4207, 8658, 780, 6962, 454, 29603, 7437, 538, 3829, 6514, 540, 27724, 543, 5935, 2553, 3844, 547, 16463, 11529, 543, 12404, 1740, 267, 1053, 10536, 3407, 1702, 30343, 3811, 14446, 2504, 269, 22716, 1944, 1312, 7811, 8223, 543, 4052, 3498, 11942, 1646, 540, 2565, 3206, 5759, 7258, 15889, 21941, 269, 11086, 267, 2502, 609, 891, 3741, 16877, 14971, 9858, 547, 18390, 6330, 6422, 8916, 540, 2413, 1569, 800, 2528, 1247, 7700, 6209, 1568, 5483, 676, 3140, 9551, 775, 543, 4464, 23302, 5075, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23114, 1242, 14446, 267, 971, 607, 12311, 26204, 543, 6278, 14034, 267, 616, 10475, 538, 741, 1378, 2924, 269, 634, 2123, 5905, 2306, 873, 3063, 2027, 267, 3226, 950, 789, 616, 835, 540, 513, 2186, 543, 2966, 9003, 609, 519, 649, 13145, 538, 2247, 269, 1717, 267, 621, 779, 849, 2009, 547, 8831, 713, 1482, 2027, 4743, 585, 835, 779, 824, 4773, 540, 14446, 269, 634, 1883, 568, 13215, 543, 6616, 519, 2553, 543, 2326, 1031, 547, 1118, 14446, 267, 865, 596, 666, 1711, 707, 1378, 563, 8005, 3081, 596, 3112, 1711, 14446, 286, 769, 519, 1101, 1747, 267, 14446, 568, 711, 3908, 547, 1175, 10475, 10007, 543, 8407, 269, 22960, 14446, 267, 799, 568, 3989, 607, 519, 2186, 540, 14446, 602, 568, 538, 1899, 609, 519, 5767, 3466, 538, 519, 2872, 269, 1452, 616, 519, 5686, 540, 14446, 602, 666, 581, 2653, 547, 1118, 267, 543, 1131, 4324, 689, 2123, 1436, 269, 3502, 1152, 666, 596, 3575, 543, 6474, 1978, 2326, 267, 855, 596, 666, 849, 2097, 909, 609, 6272, 602, 786, 979, 609, 707, 4948, 856, 22327, 563, 2252, 596, 2461, 4058, 547, 1205, 883, 519, 14446, 6194, 1870, 267, 610, 1175, 8049, 827, 14446, 6194, 2326, 606, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 9828, 1315, 2274, 1430, 1740, 1299, 31674, 1740, 1315, 631, 13783, 543, 1744, 12686, 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, 0, 7689, 281, 4197, 7991, 5516, 543, 8081, 692, 5970, 596, 2479, 1336, 3054, 538, 513, 9157, 3510, 1141, 596, 2877, 930, 3063, 948, 286, 9320, 707, 1920, 729, 2469, 998, 513, 2352, 942, 20019, 267, 610, 5310, 596, 941, 7231, 609, 513, 2123, 3390, 602, 1500, 621, 2182, 585, 596, 547, 1445, 593, 707, 2090, 269, 4438, 2053, 899, 891, 267, 2348, 1569, 547, 2146, 1416, 543, 1489, 666, 1118, 513, 2462, 3017, 780, 1432, 568, 7991, 5516, 543, 8081, 630, 6717, 301, 25145, 14343, 13430, 26322, 1416, 543, 1489, 4016, 547, 3292, 543, 2533, 2966, 547, 948, 1004, 950, 789, 2811, 6849, 4101, 3871, 269, 1452, 2591, 1223, 581, 4376, 689, 2883, 7965, 547, 2790, 1072, 4145, 269, 2311, 922, 4295, 267, 16671, 301, 6663, 547, 1683, 7525, 6351, 543, 2200, 547, 1346, 538, 991, 267, 5807, 513, 2631, 540, 10362, 1369, 519, 2146, 780, 2162, 6206, 22020, 540, 16671, 301, 692, 2971, 9608, 13555, 543, 681, 1952, 677, 692, 1103, 1022, 2146, 267, 2679, 2178, 3347, 1063, 2043, 568, 1898, 269, 901, 1523, 849, 10039, 547, 16671, 301, 269, 1635, 8716, 1930, 2792, 543, 3972, 1851, 2818, 267, 649, 3715, 513, 11215, 3060, 602, 2636, 721, 547, 2697, 1346, 8506, 6351, 16425, 269, 1280, 1383, 267, 3610, 693, 1153, 949, 5469, 952, 513, 2875, 4667, 14129, 610, 10010, 27268, 269, 1358, 666, 1287, 2709, 5583, 267, 19015, 267, 610, 1921, 873, 609, 3606, 2200, 2139, 998, 519, 1153, 781, 16671, 301, 1982, 780, 2971, 7731, 6441, 833, 5113, 692, 288, 22205, 5790, 2337, 6536, 2318, 4296, 1063, 2818, 540, 513, 2146, 269, 3807, 899, 3885, 1413, 856, 585, 1142, 824, 267, 2950, 8853, 950, 3025, 7959, 12595, 543, 6462, 269, 589, 7874, 267, 8537, 4259, 5849, 602, 1100, 835, 8813, 998, 519, 18015, 267, 3850, 2043, 547, 1745, 6899, 5275, 948, 1282, 3843, 2053, 780, 2971, 595, 2130, 9177, 692, 17730, 513, 14637, 1604, 3322, 6029, 6568, 2509, 1866, 262, 2833, 543, 1373, 8348, 547, 22937, 513, 4543, 1688, 269, 1879, 3506, 3895, 513, 12391, 2528, 267, 1053, 1451, 3407, 4245, 827, 8296, 267, 6043, 267, 543, 16542, 269, 2290, 1259, 713, 4249, 856, 1522, 4125, 12180, 2508, 24597, 2621, 547, 4217, 15032, 7680, 2883, 23434, 1813, 547, 27644, 6381, 780, 2162, 6201, 540, 16671, 301, 15789, 692, 2080, 616, 1079, 3879, 13577, 1806, 540, 875, 16671, 301, 2488, 2629, 5351, 547, 1053, 1384, 272, 269, 2878, 26296, 26859, 30868, 4995, 6884, 267, 6397, 9276, 8451, 602, 2322, 1713, 8833, 593, 513, 1920, 781, 6578, 269, 1403, 513, 6068, 835, 10596, 2476, 267, 3587, 12517, 2192, 267, 610, 4991, 13676, 267, 2564, 12014, 666, 3533, 1039, 909, 269, 3958, 267, 2816, 2530, 610, 4389, 2324, 3108, 1813, 547, 5007, 2188, 666, 1291, 547, 4049, 2883, 11605, 269, 1677, 13468, 930, 540, 519, 11411, 267, 16671, 301, 3091, 2883, 6351, 547, 14718, 1053, 267, 4180, 789, 723, 3160, 3255, 547, 8011, 5103, 741, 1699, 6381, 563, 273, 269, 2878, 28770, 11765, 30868, 4995, 12769, 31531, 267, 18002, 4755, 602, 2154, 7525, 3007, 543, 2962, 269, 4841, 945, 1995, 6727, 16839, 949, 6560, 14156, 267, 15508, 267, 543, 9308, 1247, 10188, 1950, 2152, 269, 2060, 519, 6595, 10325, 267, 11727, 1053, 666, 4309, 2110, 3856, 13075, 1489, 547, 3382, 2596, 2115, 2394 ]

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

[ 568, 593, 269, 8074, 281, 649, 10081, 1039, 595, 2129, 327, 781, 29980, 10500, 559, 5573, 3009, 630, 4596, 295, 295, 264, 547, 782, 856, 20129, 29980, 25103, 563, 23742, 614, 676, 10794, 2637, 516, 454, 23742, 614, 676, 10794, 27484, 454, 258, 910, 476, 272, 10794, 454, 1724, 13329, 514, 1564, 281, 589, 1122, 529, 681, 574, 454, 4462, 16225, 519, 5168, 543, 5490, 883, 513, 476, 273, 291, 5011, 322, 13764, 7045, 10023, 32154, 1148, 543, 5054, 269, 3973, 267, 6370, 519, 737, 2967, 9857, 538, 3728, 19550, 267, 1283, 16365, 8396, 269, 11426, 1125, 519, 13329, 514, 1564, 609, 606, 19070, 531, 540, 803, 577, 338, 3726, 14049, 787, 267, 543, 4339, 547, 9718, 8103, 2336, 5575, 7591, 281, 476, 1708, 271, 270, 1556, 270, 6349, 454, 288, 910, 476, 1691, 10632, 454, 9590, 281, 634, 24622, 333, 1756, 28567, 910, 715, 597, 341, 3570, 19541, 454, 6124, 569, 22190, 31212, 7981, 32652, 631, 714, 25431, 543, 1200, 3642, 7649, 589, 756, 320, 616, 25461, 547, 4194, 519, 29737, 21009, 10610, 17626, 737, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21357, 15331, 566, 717, 821, 654, 3994, 257, 607, 851, 540, 834, 11227, 1315, 774, 18115, 619, 1315, 6481, 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, 0, 6092, 5149, 281, 1133, 24286, 519, 27405, 625, 540, 19606, 692, 8702, 267, 1762, 17701, 256, 5192, 4712, 547, 7832, 593, 606, 6909, 3460, 607, 649, 4685, 883, 835, 540, 519, 1158, 781, 9510, 2984, 910, 19606, 267, 519, 1101, 1433, 540, 519, 6426, 269, 901, 1433, 814, 1044, 6594, 543, 19644, 585, 5215, 540, 1296, 267, 8876, 3407, 4245, 827, 938, 2250, 267, 945, 649, 616, 267, 543, 1141, 649, 2097, 689, 269, 1924, 10544, 707, 14165, 673, 3172, 4328, 4837, 543, 1577, 781, 19586, 930, 4241, 13655, 1927, 2439, 1262, 8512, 476, 272, 281, 1548, 5678, 9894, 14088, 28423, 286, 2878, 692, 5331, 5870, 2576, 945, 14753, 513, 4625, 1114, 1893, 1107, 596, 9327, 1406, 1174, 1142, 824, 693, 782, 256, 3767, 4952, 1373, 9800, 811, 982, 476, 276, 267, 1822, 1296, 3516, 950, 972, 941, 15991, 1022, 3838, 4654, 269, 2334, 1590, 723, 1044, 3833, 513, 4161, 256, 18623, 1419, 4898, 1018, 1893, 1004, 899, 14088, 12038, 269, 898, 7012, 1406, 2296, 267, 5053, 267, 13495, 18288, 267, 610, 1022, 2413, 1893, 649, 917, 2221, 269, 5502, 267, 789, 4440, 28078, 1210, 3504, 4654, 899, 12355, 610, 589, 18769, 545, 269, 1717, 267, 1100, 835, 6487, 585, 2386, 1317, 1346, 4654, 7960, 936, 942, 269, 3807, 1589, 267, 952, 649, 1223, 1451, 713, 968, 14140, 892, 1480, 1893, 267, 875, 1454, 4443, 1131, 621, 581, 547, 5968, 609, 3025, 1472, 721, 31841, 1262, 8512, 476, 273, 281, 25478, 7982, 3973, 1765, 26123, 4569, 2878, 692, 13043, 3884, 1406, 1175, 2338, 282, 621, 779, 849, 827, 3270, 543, 6698, 269, 4658, 538, 13400, 2053, 4769, 1406, 2328, 1524, 2338, 519, 1259, 649, 798, 1631, 269, 1358, 1031, 5022, 3079, 256, 1280, 1383, 267, 538, 12355, 267, 513, 548, 874, 6719, 476, 272, 267, 914, 11542, 585, 476, 273, 267, 575, 574, 601, 5921, 476, 274, 267, 543, 865, 593, 269, 2052, 596, 1294, 1946, 1620, 891, 9479, 1522, 948, 721, 21264, 1256, 4587, 5931, 286, 5994, 6061, 13410, 2854, 538, 5728, 1297, 4654, 1169, 1554, 256, 1215, 3579, 1131, 602, 581, 2496, 1262, 8512, 476, 274, 281, 5808, 12984, 25424, 1299, 3571, 8262, 23874, 286, 2878, 692, 2791, 949, 723, 4862, 8941, 540, 25424, 2679, 606, 818, 330, 543, 17005, 513, 7372, 6360, 609, 1010, 1920, 543, 2831, 269, 1809, 1705, 596, 917, 602, 1082, 12206, 3494, 646, 2965, 11478, 286, 2755, 3877, 4268, 1063, 3909, 5931, 543, 3621, 4681, 267, 1312, 3858, 593, 835, 3364, 281, 1703, 2731, 729, 513, 5458, 2518, 14700, 2680, 1472, 476, 23310, 271, 7460, 256, 16329, 5505, 3136, 20857, 909, 2963, 5885, 1585, 2694, 540, 713, 1650, 267, 1818, 621, 1447, 540, 513, 7242, 543, 811, 899, 1686, 4947, 9800, 1318, 1354, 938, 4064, 780, 1262, 8512, 476, 275, 281, 20770, 1014, 18975, 1299, 7731, 3171, 644, 338, 2878, 692, 30706, 1185, 513, 2462, 4661, 609, 16254, 610, 30980, 286, 4270, 267, 4605, 2348, 971, 22195, 609, 19421, 540, 14077, 1310, 9561, 3388, 538, 513, 9649, 6360, 256, 962, 10105, 256, 2991, 25424, 779, 6360, 267, 2687, 547, 19606, 267, 8103, 6836, 31811, 1927, 538, 513, 1747, 1572, 645, 8475, 855, 3323, 19163, 1586, 269, 1677, 2061, 873, 689, 4929, 14784, 267, 2696, 11821, 741, 4633, 267, 3056, 547, 2789, 4654, 543, 22502, 6082, 2066, 3047, 269, 14675, 5432, 286, 3509, 10236, 5505, 2303, 1945, 2147, 5949, 538, 1483, 1272, 267, 12270, 7239, 543, 26354, 2686, 4763, 780, 1262, 8512, 476, 276, 281, 17714, 540, 9478, 2878, 692, 24137, 4464, 1896, 5481, 2663, 267, 649, 2743, 9478, 267, 4171, 9058, 9661, 3217, 1864, 689, 8474, 547, 1379, 538, 5527, 269, 5620, 596, 4810, 6397, 23538, 538, 707, 1378, 1272, 2943, 286, 5457, 267, 3006, 14488, 666, 1291, 547, 30493, 269, 1635, 9363, 14388, 998, 23434, 267, 9478, 5555, 10710, 9118, 2729, 1282, 513, 4049, 26380, 267, 6029, 721, 519, 2956, 540, 16177, 543, 13916, 780, 1262, 8512, 476, 277, 281, 589, 3212, 2131, 20553, 9147, 3798, 1746, 9828, 2878, 692, 3086, 12997, 267, 11049, 6054, 3322, 18111, 1154, 1913, 610, 5220, 593, 513, 2780, 5496, 269, 1809, 1018, 827, 950, 31163, 525, 5206, 3003, 2835, 676, 1688, 286, 15448, 5921, 9308, 2144, 2084, 610, 4946, 1007, 13504, 269, 21452, 2614, 267, 3173, 4362, 4505, 8747, 540, 519, 19606, 1257, 5627, 13581, 3604, 3379, 547, 519, 3803, 5299, 269, 1452, 7648, 2709, 10881, 827, 875, 3504, 15769, 5249, 29367, 547, 8190, 10723, 12591, 1247, 5355, 9355, 543, 11007, 585, 2104, 5481, 780, 1103, 3932, 267, 3695, 19606, 10741, 9885, 547, 1732, 1620, 938, 11937, 267, 4529, 267, 2979, 1949, 267, 4654, 267, 543, 811, 269, 1306, 649, 5490, 4514, 267, 3314, 602, 1082, 2055, 2611, 796, 753, 26833, 267, 3850, 4055, 585, 7279, 267, 7521, 267, 543, 2417, 1382, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12812, 1934, 547, 4585, 513, 3381, 593, 519, 1101, 3184, 540, 19606, 454, 8512, 476, 272, 281, 17291, 519, 5678, 1975, 7505, 676, 14088, 630, 15132, 320, 476, 20542, 271, 7460, 994, 8512, 476, 273, 281, 3245, 14088, 547, 25424, 267, 5463, 5317, 9147, 10606, 454, 8512, 476, 274, 281, 17291, 25424, 543, 519, 4279, 24627, 630, 15132, 320, 476, 23310, 271, 7460, 994, 8512, 476, 275, 281, 3245, 25424, 547, 9478, 267, 519, 22684, 540, 645, 8475, 630, 15132, 320, 476, 27543, 271, 7460, 994, 8512, 476, 276, 281, 17291, 9478, 538, 5527, 630, 15132, 320, 476, 29214, 271, 7460, 994, 8512, 476, 277, 281, 9147, 3798, 1746, 540, 519, 19606, 7956, 454, 288, 2147, 3801, 547, 1305, 19606, 538, 922, 1697, 2796, 666, 581, 1336, 1934, 563, 263, 12812, 593, 2592, 585, 741, 2707, 543, 2796, 1344, 8094, 257, 7049, 8412, 2437, 519, 5259, 2140, 540, 519, 1101, 1433, 540, 519, 6426, 267, 1797, 834, 25899, 2437, 834, 10594, 514, 2437, 610, 834, 19689, 1701, 634, 3883, 540, 19606, 814, 5645, 602, 2140, 2479, 2094, 621, 729, 8385, 12261, 689, 12355, 883, 5259, 267, 1394, 1282, 519, 3791, 543, 2034, 5553, 1354, 2441, 269, 4595, 5259, 729, 519, 1893, 538, 1455, 946, 676, 519, 2038, 4168, 5783, 267, 519, 20029, 340, 698, 842, 610, 700, 18958, 630, 1492, 1034, 1455, 5259, 4528, 540, 519, 6196, 11620, 264, 2968, 519, 3044, 6426, 1031, 676, 519, 2038, 5939, 4651, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 11028, 18590, 6472, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 589, 1066, 1405, 789, 899, 6517, 610, 18114, 1031, 676, 519, 4108, 547, 2263, 543, 5531, 1344, 827, 741, 14763, 2496, 8334, 281, 22549, 256, 1358, 2097, 538, 1114, 5546, 543, 7306, 267, 855, 741, 1292, 3804, 568, 2141, 547, 948, 7980, 917, 1018, 781, 2469, 593, 1472, 873, 269, 9877, 540, 899, 950, 649, 946, 938, 21891, 547, 1085, 719, 856, 519, 1655, 1747, 585, 513, 17552, 5371, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 1175, 899, 875, 649, 2638, 856, 2789, 11614, 1354, 14045, 1141, 547, 723, 938, 16152, 267, 11028, 18590, 6472, 798, 1945, 2147, 585, 519, 4108, 269, 2334, 2306, 2631, 2439, 8334, 281, 8786, 267, 4010, 256, 1656, 3006, 267, 1346, 6472, 991, 547, 979, 1055, 268, 5802, 610, 998, 11315, 1768, 23230, 267, 1318, 286, 3807, 899, 938, 21891, 666, 6023, 18162, 543, 6371, 344, 2127, 780, 7692, 281, 9406, 256, 1809, 5749, 1405, 972, 930, 2731, 2462, 11028, 18590, 6472, 1932, 286, 6145, 3283, 602, 616, 5458, 543, 4163, 6266, 540, 7980, 2496, 8334, 281, 25999, 256, 2368, 540, 873, 1522, 1256, 1413, 899, 21772, 610, 18114, 269, 1358, 666, 3560, 10136, 543, 7727, 1247, 849, 11018, 1271, 9623, 269, 898, 781, 782, 827, 1373, 5423, 543, 6616, 1018, 781, 6619, 780, 7692, 281, 24439, 803, 4898, 1862, 1215, 798, 789, 6430, 799, 1826, 540, 6174, 547, 946, 585, 1142, 5692, 286, 1772, 621, 1175, 1759, 593, 2450, 610, 616, 972, 824, 2188, 2496, 8334, 281, 4279, 2243, 256, 1703, 616, 2965, 1896, 2188, 789, 2015, 267, 899, 519, 14099, 267, 3845, 267, 1297, 540, 7980, 3238, 267, 543, 1256, 519, 4365, 2175, 269, 1280, 1383, 267, 952, 789, 2503, 544, 28854, 9897, 267, 789, 1522, 3442, 513, 6174, 609, 1434, 20086, 780, 7692, 281, 13259, 267, 594, 1294, 269, 1924, 1175, 899, 875, 649, 5957, 28890, 10887, 1282, 24925, 2395, 267, 519, 4108, 23297, 3617, 6472, 1759, 593, 519, 3510, 780, 8334, 281, 1411, 3893, 621, 256, 5871, 2631, 4249, 513, 1909, 538, 1312, 2665, 269, 1635, 3206, 6619, 543, 6236, 1585, 2188, 267, 649, 1118, 1732, 5079, 269, 6787, 621, 781, 7446, 31321, 610, 8939, 513, 11028, 18590, 6174, 267, 7041, 6927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8967, 29107, 676, 23140, 298, 13639, 1530, 908, 17290, 454, 1556, 4873, 476, 2641, 269, 681, 7709, 8092, 681, 1478, 13639, 476, 3707, 279, 1107, 476, 1708, 272, 269, 17796, 2673, 547, 645, 2969, 26950, 2464, 303, 19781, 2303, 602, 808, 6938, 568, 14656, 922, 8092, 681, 1478, 13639, 10406, 607, 621, 1281, 711, 3514, 538, 609, 519, 2048, 5882, 685, 540, 1699, 909, 2344, 6472, 269, 8092, 681, 1478, 13639, 729, 3964, 4166, 1310, 519, 10022, 476, 272, 4682, 883, 2504, 630, 763, 15503, 19927, 547, 5397, 593, 513, 3703, 8136, 10022, 476, 272, 264, 543, 4682, 593, 547, 3761, 936, 476, 14096, 11439, 4229, 2066, 519, 1158, 269, 769, 602, 942, 1082, 14726, 941, 3812, 971, 607, 519, 476, 277, 9943, 277, 9995, 2590, 5069, 476, 13670, 543, 476, 10219, 3631, 543, 519, 476, 16928, 674, 290, 267, 519, 4102, 8092, 681, 1478, 2479, 1500, 267, 513, 7708, 641, 15298, 585, 513, 7489, 7952, 267, 476, 277, 9943, 277, 543, 476, 275, 9943, 275, 808, 6938, 623, 5166, 773, 269, 519, 700, 1515, 323, 2578, 4768, 3368, 13652, 1188, 267, 519, 670, 1824, 20580, 670, 1380, 541, 10022, 540, 6186, 10696, 6472, 267, 519, 13662, 25712, 19358, 328, 267, 476, 8099, 267, 476, 11820, 267, 476, 4200 ]

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

[ 0, 13729, 519, 7305, 454, 1103, 713, 3308, 3206, 4976, 267, 1053, 946, 519, 1913, 538, 519, 2262, 4871, 547, 6445, 538, 519, 1025, 3471, 538, 519, 476, 278, 5220, 269, 634, 4976, 568, 827, 4259, 519, 3349, 563, 274, 14358, 476, 276, 20042, 454, 20175, 13268, 281, 16497, 538, 595, 643, 923, 267, 4569, 267, 543, 20963, 8551, 454, 6124, 4944, 1653, 538, 4065, 630, 301, 23966, 264, 10432, 26549, 519, 7418, 540, 519, 11356, 543, 568, 9976, 538, 519, 4199, 1369, 513, 524, 643, 923, 267, 6128, 267, 543, 5386, 6575, 4259, 269, 634, 4199, 4564, 1169, 3446, 689, 476, 274, 6113, 547, 476, 1321, 628, 609, 2055, 543, 2483, 274, 6113, 910, 476, 1321, 628, 4569, 18938, 281, 24623, 454, 2414, 1234, 12860, 267, 610, 3502, 1234, 12860, 888, 2414, 22120, 610, 711, 547, 22120, 267, 602, 568, 519, 2243, 269, 2659, 1362, 666, 1265, 519, 2626, 676, 2921, 513, 4116, 2813, 5680, 5226, 652, 267, 1141, 789, 8263, 513, 1909, 540, 513, 2146, 4759, 2921, 513, 1796, 593, 7598, 513, 2146, 2647, 9657, 1544, 269, 634, 2483, 276, 628, 910, 476, 279, 628, 10439, 1299, 27400, 8551, 454, 5649, 344, 267, 5590, 267, 2913, 781, 667, 965, 256, 898, 781, 513, 17460, 540, 3590, 454, 7075, 2996, 2263, 2168, 9443, 676, 10283, 538, 513, 1362, 4603, 269, 769, 713, 2339, 3992, 1544, 267, 1053, 2697, 519, 1614, 3029, 540, 2339, 543, 741, 2168, 3604, 269, 22996, 8415, 23739, 14859, 547, 1711, 513, 1404, 14859, 899, 2483, 298, 910, 476, 273, 526, 10439, 1299, 27400, 8551, 0, 8138, 2958, 687, 540, 519, 2136, 2276, 454, 1103, 713, 4427, 2958, 687, 540, 519, 772, 2529, 269, 4976, 267, 1053, 2347, 513, 8642, 28013, 607, 789, 1224, 1896, 15102, 267, 1287, 2626, 2185, 8223, 2055, 563, 4510, 14358, 476, 11011, 20042, 454, 14549, 24779, 538, 519, 2136, 2276, 454, 7075, 2996, 8495, 519, 2188, 3238, 538, 1480, 9194, 538, 519, 2136, 2276, 269, 4841, 5659, 7851, 540, 1114, 4525, 538, 519, 2136, 2276, 547, 3313, 875, 513, 3099, 540, 2188, 3310, 1480, 11175, 543, 1646, 563, 277, 628, 910, 476, 279, 628, 4317, 5525, 1299, 3778, 0, 763, 3690, 527, 538, 24436, 454, 1607, 634, 3690, 527, 538, 24436, 3992, 1544, 849, 2882, 912, 10743, 8495, 519, 4873, 476, 1220, 275, 3690, 527, 540, 19026, 267, 2328, 513, 5496, 1404, 267, 543, 3132, 513, 7260, 610, 14318, 540, 519, 18302, 1519, 513, 32538, 269, 634, 3017, 1063, 9423, 543, 1650, 24692, 568, 1500, 2312, 538, 713, 3992, 563, 274, 14358, 476, 279, 20042, 454, 763, 8262, 16514, 593, 26085, 543, 8693, 7827, 454, 4131, 781, 4734, 2916, 1689, 7440, 909, 547, 519, 19023, 3744, 269, 589, 1689, 538, 9265, 1813, 547, 4657, 2837, 666, 1291, 547, 267, 1018, 267, 4010, 286, 3414, 513, 3126, 540, 5717, 267, 2238, 267, 543, 7422, 267, 10453, 1921, 2916, 2483, 280, 628, 910, 476, 1015, 628, 3163, 18938, 281, 24623, 0, 12709, 3436, 1215, 1677, 3436, 4427, 6339, 631, 2532, 12143, 454, 8138, 6339, 631, 2532, 12143, 454, 4407, 681, 15598, 268, 31405, 2636, 519, 834, 2158, 257, 538, 519, 1016, 6339, 9633, 547, 581, 1875, 9762, 27631, 267, 681, 15598, 268, 31405, 15565, 602, 476, 272, 264, 789, 581, 733, 27631, 267, 543, 476, 273, 264, 602, 789, 19582, 519, 1034, 1713, 11353, 540, 519, 834, 10676, 257, 13910, 4347, 5435, 13910, 13555, 2974, 6435, 5851, 5440, 681, 7704, 16301, 543, 16390, 14645, 9736, 15306, 294, 8500, 267, 5549, 269, 769, 4641, 267, 972, 949, 581, 513, 3597, 17372, 16958, 630, 305, 2393, 8150, 264, 602, 3651, 338, 1016, 6339, 2338, 630, 22873, 658, 1125, 267, 5410, 8138, 6339, 267, 543, 17179, 8138, 6339, 1070, 543, 1016, 6339, 21191, 267, 602, 3651, 3984, 2338, 1369, 513, 1016, 6339, 630, 11754, 295, 739, 543, 17179, 295, 739, 1040, 1403, 519, 3597, 8150, 543, 962, 8150, 630, 1492, 2232, 6392, 585, 962, 264, 616, 5094, 589, 2026, 267, 1287, 519, 962, 8150, 1590, 581, 5483, 540, 519, 1689, 540, 3787, 4567, 269, 6744, 901, 4934, 454, 680, 617, 337, 14452, 3057, 476, 278, 267, 476, 1001, 278, 693, 476, 276, 281, 3066, 6751, 32288, 2135, 476, 3953, 19229, 7790, 14329, 1948, 277, 281, 14581, 1315, 12409, 5999, 1590, 4159, 4674, 269, 769, 713, 1383, 267, 596, 616, 2016, 1079, 2232, 1315, 9633, 10659, 267, 2854, 609, 519, 18772, 15828, 2654, 10035, 267, 799, 723, 1044, 8655, 547, 1079, 3457, 269, 14348, 519, 1603, 856, 476, 272, 781, 1505, 960, 585, 1022, 9633, 888, 1692, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 5153, 1635, 5153, 454, 1607, 5170, 2394, 519, 2451, 2173, 739, 3787, 267, 610, 1034, 1713, 3787, 267, 799, 6585, 513, 1871, 540, 476, 2767, 269, 19932, 5680, 4886, 6789, 303, 14103, 1299, 22898, 3733, 21415, 3131, 331, 1299, 595, 22835, 23285, 1299, 3733, 21415, 24701, 4033, 595, 595, 258, 10084, 10439, 9978, 8950, 10434, 2264, 32730, 29093, 18044, 26598, 9049, 8433, 7457, 9185, 634, 4147, 595, 1383, 538, 7612, 476, 272, 814, 513, 2101, 3060, 2232, 540, 476, 4572, 269, 271, 269, 271, 269, 271, 910, 476, 2420, 269, 20969, 269, 14378, 269, 14862, 563, 22546, 1947, 26729, 9607, 538, 519, 1483, 1158, 568, 630, 273, 311, 264, 910, 476, 274, 829, 7356, 514, 651, 3387, 2644, 1511, 326, 633, 4154, 314, 1700, 316, 19668, 4252, 4510, 272, 2641, 26170, 513, 9906, 476, 271, 2798, 272, 1448, 273, 2798, 476, 272, 1032, 3516, 263, 271, 1453, 264, 10059, 2517, 25269, 338, 269, 2998, 4355, 2593, 7933, 17805, 7933, 270, 272, 302, 10019, 297, 290, 272, 298, 333, 299, 293, 312, 308, 5591, 273, 290, 308, 312, 290, 339, 341, 292, 339, 297, 330, 7288, 300, 4962, 340, 302, 2969, 343, 320, 288, 272, 25632, 345, 277, 312, 8276, 9394, 21353, 545, 286, 680, 328, 284, 272, 829, 7356, 514, 651, 3387, 2644, 1511, 326, 633, 4154, 314, 1700, 316, 2675, 20632, 3712, 5076, 1723, 476, 271, 2798, 272, 1448, 273, 2798, 476, 1556, 3275, 3516, 263, 271, 1453, 264, 2791, 666, 2141, 8921, 267, 476, 279, 14747, 1142, 616, 3773, 547, 1016, 26506, 589, 543, 595, 267, 3976, 4929, 519, 1318, 2173, 739, 575, 19229, 538, 1142, 547, 1689, 547, 606, 554, 19229, 269, 769, 513, 1362, 595, 2232, 267, 519, 1297, 540, 11353, 602, 666, 581, 22666, 689, 519, 476, 275, 628, 12354, 564, 666, 581, 1063, 476, 272, 547, 476, 277, 2687, 547, 713, 6656, 646, 5795, 721, 269, 1215, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 2494, 1302, 15012, 936, 476, 278, 3451, 267, 4649, 277, 824, 1004, 1175, 899, 596, 2336, 4407, 593, 12616, 267, 594, 557, 6836, 28258, 935, 14808, 1315, 516, 3161, 543, 28258, 935, 14808, 1315, 516, 2908, 267, 4986, 4523, 630, 560, 650, 8655, 476, 14838, 269, 14838, 269, 21857, 269, 271, 1040, 1215, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 2060, 7151, 769, 1840, 267, 9291, 11339, 543, 7472, 2930, 2866, 7044, 585, 14044, 9751, 7577, 267, 5549, 269, 17392, 540, 713, 1509, 334, 568, 19957, 269, 3371, 568, 875, 9352, 12354, 1115, 6460, 547, 8918, 281, 634, 1318, 1034, 3787, 267, 610, 2547, 1713, 3787, 267, 540, 606, 12354, 564, 6585, 513, 1871, 540, 476, 736, 563, 1607, 6770, 909, 606, 4277, 1448, 269, 4427, 6339, 1154, 18185, 521, 2173, 2532, 281, 1280, 513, 2016, 1016, 6339, 267, 519, 9633, 17929, 782, 521, 1532, 1080, 616, 835, 267, 543, 782, 575, 1532, 1080, 543, 554, 1532, 1080, 616, 4642, 269, 1548, 666, 594, 798, 286, 7053, 267, 5985, 7384, 814, 1831, 606, 4948, 4641, 267, 543, 21641, 5904, 723, 513, 10171, 540, 3001, 689, 835, 3060, 547, 1776, 610, 689, 835, 1016, 6339, 547, 1776, 563, 1692, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 2060, 7151, 454, 2252, 782, 11353, 689, 519, 2451, 2865, 835, 3787, 547, 3787, 2990, 476, 271, 616, 3283, 267, 1287, 14892, 3268, 476, 276, 543, 476, 277, 1210, 3787, 2990, 645, 11224, 835, 3787, 2990, 547, 519, 2451, 634, 1344, 538, 713, 3561, 729, 2813, 689, 519, 3457, 538, 513, 1808, 2978, 1604, 269, 1215, 1677, 12433, 4427, 6339, 631, 2532, 3245, 594, 335, 17372, 5153, 1635, 5153, 7827, 519, 575, 19229, 547, 606, 554, 19229, 585, 782, 14747, 538, 590, 269, 1215, 1677, 4427, 6339, 17972, 981, 4388, 267, 1353, 2994, 267, 2689, 5751, 267, 2013, 2090, 267, 2259, 11400, 267, 11929, 294, 792, 4152, 3301, 267, 543, 811, 563, 2690, 6654, 4128, 267, 713, 568, 711, 513, 14909, 1576, 540, 2962, 269, 1879, 646, 781, 711, 2324, 267, 667, 4319, 21593, 1034, 9205, 2238, 267, 1519, 6777, 24692, 267, 22742, 267, 543, 31614, 1136, 269, 1924, 267, 835, 2780, 666, 723, 811, 982, 835, 7379, 2232, 269, 1403, 713, 568, 519, 2063, 575, 19229, 267, 1287, 713, 1689, 1590, 581, 20291, 609, 962, 8150, 269, 476, 24423, 269, 1215, 1677, 4427, 6339, 594, 335, 341, 275, 454, 268, 3689, 267, 621, 2306, 519, 2816, 540, 28720, 519, 3060, 971, 607, 4946, 1007, 7218, 267, 9319, 7379, 804, 10449, 267, 3092, 513, 2603, 4443, 563, 268, 8921, 267, 1016, 6339, 661, 568, 6569, 281, 4427, 6339, 5410, 337, 631, 2532, 589, 476, 1015, 1375, 554, 327, 327, 327, 476, 9340, 272, 476, 1822, 271, 645, 476, 4905, 327, 327, 554, 327, 327, 327, 476, 8099, 271, 476, 1822, 271, 595, 476, 8099, 326, 554, 327, 327, 327, 476, 9340, 272, 476, 1822, 271, 667, 476, 9826, 326, 575, 327, 327, 327, 476, 9340, 272, 476, 1822, 271, 674, 476, 9340, 271, 575, 327, 327, 327, 454, 268, 769, 1840, 547, 1313, 327, 1681, 513, 1297, 540, 2780, 2835, 543, 7900, 2866, 543, 5077, 3599, 10467, 267, 667, 4319, 568, 519, 5883, 9375, 540, 519, 5769, 2593, 24804, 5680, 4609, 27617, 1805, 4392, 2690, 636, 2593, 543, 2271, 3757, 564, 22711, 2593, 563, 268, 570, 7945, 31843, 1496, 17273, 476, 280, 316, 681, 15598, 476, 13199, 280, 2201, 519, 12143, 540, 4427, 6339, 10606, 4989, 476, 1960, 272, 1717, 267, 649, 723, 3622, 4847, 585, 811, 2208, 538, 1016, 26506, 982, 538, 14747, 1317, 4946, 1007, 1016, 26506, 666, 454, 268, 7827, 519, 521, 19229, 538, 2990, 645, 547, 513, 575, 19229, 269, 476, 3451, 563, 268, 7612, 476, 272, 769, 513, 4147, 589, 2232, 267, 519, 1101, 12354, 564, 568, 519, 3060, 6712, 267, 865, 519, 4147, 589, 1383, 538, 7612, 476, 272, 814, 513, 2101, 3060, 2232, 540, 476, 14695, 269, 9834, 269, 3607, 269, 1960, 910, 476, 14096, 269, 14838, 269, 14838, 269, 14838, 563, 268, 13565, 6176, 7379, 4427, 6339, 18185, 630, 10805, 5561, 1152, 264, 7379, 13705, 532, 16257, 338, 5303, 8081, 4427, 6339, 20023, 543, 519, 2353, 268, 4002, 525, 4427, 6339, 21118, 543, 4427, 6339, 10829, 885, 14502, 8081, 1299, 11657, 566, 910, 595, 8646, 7010, 454, 268, 634, 15864, 1259, 547, 3651, 519, 1016, 26506, 568, 547, 3651, 519, 4102, 1101, 563, 268, 18317, 305, 3036, 634, 16761, 15745, 1223, 711, 581, 27366, 634, 1739, 5470, 729, 11402, 1247, 3843, 547, 23074, 519, 15745, 281, 5291, 2517, 271, 269, 271, 269, 271, 269, 280, 270, 17583, 547, 476, 271, 269, 271, 269, 271, 269, 280, 8959, 563, 268, 1677, 1118, 667, 295, 9573, 960, 593, 707, 3060, 596, 723, 547, 1305, 909, 513, 667, 295, 9573, 7746, 563, 17004, 721, 875, 596, 1589, 596, 1058, 4194, 1346, 2152, 267, 543, 649, 786, 19472, 610, 2709, 19349, 547, 707, 3355, 3801, 269, 18564, 849, 602, 952, 519, 1268, 26471, 3984, 9607, 585, 645, 630, 289, 17372, 16958, 267, 610, 645, 8150, 264, 568, 1114, 982, 519, 1268, 26471, 3060, 2338, 630, 305, 2393, 8150, 1070, 1287, 645, 8150, 1590, 11282, 519, 1689, 4475, 267, 519, 946, 540, 891, 5773, 568, 7357, 24787, 776, 269, 15012, 938, 3135, 2221, 547, 2307, 707, 2243, 563, 3849, 3200, 1047, 906, 798, 711, 17538, 938, 23596, 618, 540, 602, 1587, 610, 3028, 269, 4427, 6339, 17372, 13773, 29429, 538, 6178, 909, 1631, 256, 1715, 518, 20537, 281, 9612, 713, 8142, 1152, 9612, 713, 8468, 1152, 18224, 2164, 607, 16060, 2422, 995, 590, 792, 2583, 10765, 24762, 2859, 2483, 2252, 594, 2182, 5911, 519, 7193, 547, 519, 18760, 267, 594, 993, 8655, 513, 476, 14838, 269, 14838, 269, 14838, 269, 271, 1016, 6339, 563, 763, 476, 3953, 9352, 11353, 616, 7745 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1775, 28495, 516, 15565, 519, 1739, 17245, 2139, 3842, 24398, 1325, 591, 11844, 779, 8437, 1613, 3760, 610, 6908, 593, 13235, 1775, 8698, 563, 763, 14730, 2506, 340, 9452, 454, 288, 2219, 4538, 543, 11121, 17245, 602, 12125, 519, 1764, 540, 23745, 17131, 1723, 324, 779, 14730, 2506, 340, 1107, 519, 13629, 7613, 602, 13934, 5245, 547, 556, 20459, 922, 1686, 543, 5337, 1243, 513, 7521, 602, 5170, 547, 30270, 563, 2252, 596, 1131, 899, 547, 5490, 4514, 883, 519, 1158, 540, 14730, 2506, 340, 267, 649, 723, 519, 1739, 2200, 2139, 912, 291, 1046, 2506, 340, 676, 23745, 17131, 1723, 324, 454, 14532, 814, 17814, 5245, 779, 3689, 24447, 267, 519, 2806, 10594, 10904, 267, 607, 25433, 3766, 520, 1877, 3464, 945, 5030, 593, 606, 8900, 267, 4608, 738, 17300, 2244, 269, 3778, 568, 4636, 269, 23745, 17131, 1723, 324, 796, 1723, 951, 2963, 602, 1279, 1354, 519, 12625, 540, 3043, 2367, 267, 16971, 1004, 2066, 519, 11782, 941, 2679, 21394, 543, 19401, 282, 9544, 267, 11125, 908, 267, 543, 16276, 5452, 267, 543, 1287, 8497, 519, 21045, 543, 13936, 621, 538, 8075, 267, 24259, 267, 610, 5150, 8043, 282, 543, 2870, 14969, 524, 655, 2678, 625, 543, 22392, 519, 5251, 269, 2353, 540, 891, 19326, 941, 22522, 609, 519, 25433, 3766, 520, 1877, 337, 11090, 267, 513, 10375, 9114, 602, 5249, 547, 17854, 7006, 1601, 11970, 269, 4635, 8903, 2963, 689, 5638, 543, 1019, 2456, 540, 2038, 8241, 17701, 543, 21152, 267, 646, 8761, 602, 16971, 1949, 540, 1426, 2504, 543, 2244, 2359, 723, 1044, 1025, 520, 14688, 896, 26061, 538, 2413, 1427, 32478, 540, 2038, 16971, 1686, 267, 543, 602, 513, 1007, 1413, 693, 5245, 779, 2250, 568, 2838, 267, 585, 519, 4324, 540, 782, 26880, 563, 21930, 14730, 2506, 340, 267, 589, 22427, 518, 3778, 676, 23745, 17131, 1723, 324, 454, 21930, 14730, 2506, 340, 267, 589, 22427, 518, 3778, 12134, 1762, 3988, 547, 2015, 513, 1114, 4528, 540, 5245, 779, 1686, 840, 26049, 3935, 5314, 563, 289, 16078, 17131, 1723, 324, 814, 6394, 513, 2220, 7752, 540, 5339, 543, 17758, 585, 14730, 2506, 340, 543, 1631, 646, 814, 4547, 1927, 519, 30664, 764, 762, 1382, 543, 8903, 1101, 16512, 6589, 538, 513, 1433, 585, 7820, 3988, 269, 4635, 519, 6589, 540, 2038, 3864, 17701, 267, 21152, 543, 6705, 267, 23745, 17131, 1723, 324, 8903, 569, 13187, 585, 513, 556, 4621, 573, 3130, 540, 519, 25433, 575, 520, 1877, 337, 6003, 585, 840, 12258, 11102, 16971, 26880, 269, 1261, 2636, 519, 5467, 547, 1294, 5245, 607, 621, 729, 1354, 17417, 8452, 267, 513, 2244, 540, 16916, 8105, 2127, 267, 11327, 21996, 267, 8628, 5321, 267, 543, 606, 1620, 540, 519, 1604, 543, 922, 2067, 2200, 602, 6462, 14762, 14252, 2066, 519, 11782, 563, 293, 541, 1067, 610, 28865, 3766, 520, 1877, 3464, 286, 634, 14730, 2506, 340, 13891, 622, 676, 8834, 27659, 2023, 543, 918, 2044, 333, 654, 1023, 515, 454, 1103, 10787, 1067, 610, 28865, 3766, 520, 1877, 3464, 286, 8834, 27659, 2023, 543, 918, 2044, 333, 654, 1023, 515, 2307, 1946, 26880, 723, 1044, 865, 32615, 547, 519, 10206, 602, 8105, 4564, 606, 4434, 689, 10122, 543, 11018, 269, 27659, 2023, 543, 654, 1023, 515, 1683, 3573, 2963, 547, 1489, 741, 4661, 602, 8106, 16971, 2486, 729, 513, 1950, 25433, 3766, 520, 1877, 337, 2486, 543, 607, 10427, 607, 1022, 538, 2342, 563, 4322, 2835, 616, 2139, 538, 519, 1775, 28495, 516, 267, 5225, 15395, 707, 5299, 593, 519, 1775, 28495, 516, 20525, 3722, 269, 0, 1103, 513, 2487, 1353, 3370, 538, 634, 1977, 4750, 540, 11916, 12594, 267, 3173, 11117, 519, 7681, 1063, 15060, 268, 274, 4874, 12584, 18260, 9761, 7408, 6981, 267, 5042, 9178, 267, 543, 12110, 563, 19138, 281, 634, 2078, 540, 15060, 268, 274, 9761, 7408, 609, 12110, 543, 5042, 7771, 281, 2963, 689, 5133, 20165, 2090, 540, 21455, 267, 8192, 6981, 267, 543, 1973, 12508, 269, 12005, 15894, 281, 29828, 290, 3195, 6597, 1470, 270, 4537, 13616, 18450, 2593, 454, 2704, 11533, 781, 2068, 630, 4696, 1070, 513, 31895, 17654, 4524, 267, 568, 3810, 11342, 1851, 519, 11361, 543, 19330, 2500, 519, 31706, 267, 11562, 13589, 519, 8446, 540, 1981, 2188, 602, 666, 581, 9168, 547, 2061, 543, 5924, 8488, 5084, 12614, 563, 29604, 268, 274, 267, 5833, 5097, 3842, 8192, 2959, 971, 607, 3165, 543, 2371, 267, 10607, 2634, 1646, 543, 17133, 543, 6971, 6553, 563, 4913, 267, 22423, 15178, 2090, 4080, 15458, 4681, 7282, 15060, 268, 274, 7110, 12117, 538, 7303, 5084, 267, 5042, 9178, 267, 543, 12110, 563, 11101, 267, 19747, 6417, 8062, 630, 305, 6311, 338, 264, 723, 4080, 519, 3908, 4027, 24705, 1042, 676, 15060, 268, 274, 9761, 7408, 1996, 5084, 543, 5042, 23043, 269, 4329, 267, 2090, 12570, 519, 4205, 1063, 3284, 30649, 29952, 661, 630, 4338, 302, 292, 31330, 275, 264, 543, 15060, 268, 274, 723, 4080, 30137, 4681, 563, 10666, 519, 1353, 454, 763, 1459, 1353, 11567, 2436, 15060, 268, 274, 6981, 15286, 5084, 267, 5042, 7771, 267, 610, 12110, 563, 16524, 15994, 1239, 540, 476, 272, 267, 13670, 5084, 11671, 574, 1645, 19541, 630, 4696, 25712, 264, 1353, 1875, 11546, 7757, 5171, 267, 9907, 476, 4649, 547, 476, 3445, 1296, 267, 941, 9916, 547, 3313, 519, 2078, 1063, 15060, 268, 274, 6981, 543, 1583, 1670, 31036, 609, 1007, 268, 976, 564, 5084, 936, 3670, 1296, 540, 1246, 5346, 563, 10702, 267, 519, 2319, 5340, 513, 9836, 2689, 543, 13849, 20400, 540, 5892, 3370, 20165, 15178, 2090, 547, 13182, 519, 12205, 1063, 8192, 15060, 268, 274, 9761, 3679, 6981, 543, 31036, 543, 5042, 9178, 610, 12110, 563, 10702, 267, 13849, 15696, 1833, 9781, 729, 5340, 547, 2708, 519, 9570, 268, 24978, 3347, 267, 14577, 585, 23656, 919, 971, 607, 2085, 267, 3023, 267, 1377, 540, 2069, 267, 6673, 302, 292, 31330, 275, 4567, 267, 543, 5042, 4567, 547, 3313, 519, 3448, 1981, 630, 305, 305, 264, 2418, 563, 293, 864, 3562, 19904, 11042, 941, 5342, 547, 3489, 1239, 593, 519, 1686, 540, 2564, 4713, 267, 543, 2043, 23384, 5778, 17595, 1670, 543, 5042, 6268, 693, 1353, 22612, 543, 1246, 5346, 563, 291, 2884, 776, 21455, 1239, 941, 5833, 1210, 6646, 23824, 26830, 269, 15706, 2921, 15060, 268, 274, 9360, 936, 811, 982, 476, 272, 269, 271, 1296, 16922, 519, 1412, 1410, 12723, 262, 1895, 267, 543, 519, 1866, 16922, 519, 1412, 12061, 7721, 12723, 262, 1895, 563, 26108, 5439, 941, 5833, 689, 782, 5171, 269, 634, 2319, 3067, 1881, 519, 5888, 540, 9761, 7408, 1210, 13957, 532, 1446, 2657, 781, 6046, 6419, 16982, 630, 301, 17307, 264, 8311, 15299, 543, 1583, 1670, 31571, 1210, 715, 17307, 21655, 563, 4696, 5868, 729, 1759, 593, 519, 3084, 20576, 540, 27096, 673, 543, 4004, 545, 894, 15136, 543, 853, 6593, 543, 519, 5084, 543, 13565, 15136, 5948, 630, 301, 2562, 7374, 306, 268, 4696, 305, 6395, 264, 7355, 269, 1546, 10879, 729, 8995, 1210, 519, 26616, 543, 18926, 15015, 540, 10076, 15136, 267, 8772, 270, 11359, 7160, 630, 9169, 300, 268, 4353, 270, 32663, 13305, 1040, 15465, 9178, 729, 11117, 1210, 519, 9910, 268, 11365, 1533, 6514, 4336, 563, 763, 3213, 577, 8735, 7732, 267, 32253, 267, 543, 661, 11586, 17955, 12240, 941, 22646, 267, 1510, 1893, 9993, 267, 2394, 4728, 476, 1704, 476, 1708, 273, 267, 585, 2013, 20820, 15178, 610, 20165, 15178, 3312, 1382, 2090, 10442, 519, 12205, 1063, 15060, 268, 274, 6981, 543, 922, 31036, 267, 543, 1007, 268, 976, 564, 5084, 267, 5042, 9178, 267, 610, 1022, 2275, 1021, 12110, 563, 10574, 941, 13939, 676, 1079, 4830, 3173, 267, 543, 27753, 941, 17251, 676, 513, 3791, 11001, 269, 5530, 2298, 729, 11117, 1210, 519, 1715, 31069, 14114, 1777, 11867, 2298, 4879, 4336, 630, 301, 5308, 1040, 30532, 14354, 10898, 15178, 9781, 729, 5340, 547, 5173, 519, 9651, 12753, 630, 16281, 1916, 16449, 5084, 25712, 1353, 5171, 267, 476, 5379, 260, 941, 4775, 267, 543, 519, 1611, 8653, 540, 1246, 5346, 729, 476, 273, 269, 279, 1296, 269, 15706, 3384, 5084, 4951, 3284, 30649, 29952, 661, 21307, 11538, 12402, 269, 7043, 3856, 15060, 268, 274, 6800, 4951, 513, 476, 5038, 269, 271, 260, 5786, 538, 5084, 1981, 630, 16281, 476, 271, 269, 275, 1916, 9556, 4733, 30041, 2157, 540, 2963, 8612, 602, 8192, 15060, 268, 274, 6981, 1223, 2061, 5042, 9178, 610, 1022, 2275, 1021, 12110, 676, 476, 736, 269, 271, 9077, 3226, 585, 2703, 6242, 28411, 320, 523, 18757, 3679, 630, 291, 11190, 264, 6981, 630, 305, 305, 476, 271, 269, 279, 1070, 14577, 585, 3284, 30649, 29952, 661, 4567, 630, 305, 305, 476, 271, 269, 279, 1916, 763, 9570, 268, 24978, 2079, 267, 16030, 476, 2767, 267, 14065, 543, 476, 274, 267, 8064, 278, 2043, 543, 2665, 267, 6606, 267, 4951, 602, 1169, 476, 271, 269, 1015, 575, 27473, 27261, 540, 552, 545, 657, 777, 31980, 523, 18757, 3679, 630, 292, 5183, 264, 543, 667, 11190, 6981, 4389, 5042, 9178, 1981, 676, 476, 1015, 260, 543, 476, 279, 269, 271, 9077, 6606, 563, 9556, 4733, 30041, 1377, 2963, 729, 5833, 585, 2539, 5042, 9178, 4220, 1851, 2043, 609, 11506, 1583, 1670, 16501, 2157, 630, 305, 305, 476, 271, 269, 280, 264, 543, 22980, 628, 24945, 974, 9245, 667, 11190, 630, 305, 305, 476, 271, 269, 280, 1916, 22873, 6053, 267, 476, 1240, 267, 15996, 5638, 941, 4857, 1310, 17265, 519, 10643, 543, 7493, 338, 267, 540, 799, 476, 3583, 280, 5638, 941, 2808, 267, 543, 1310, 2143, 6268, 267, 476, 4366, 2090, 941, 14718, 585, 519, 2079, 267, 476, 4029, 540, 799, 941, 2808, 585, 519, 13849, 20400, 267, 16030, 476, 9818, 267, 4792, 272, 2043, 563, 1607, 729, 1287, 4389, 547, 513, 13849, 20400, 540, 476, 1240, 2090, 16030, 476, 5379, 267, 276, 4366, 2043, 267, 799, 4951, 602, 15060, 268, 274, 6981, 3648, 22485, 519, 1981, 540, 5042, 9178, 630, 305, 305, 476, 271, 269, 280, 1070, 2523, 1310, 14577, 585, 3284, 30649, 29952, 661, 4567, 630, 305, 305, 476, 271, 269, 279, 1916, 291, 2884, 776, 667, 11190, 6981, 4389, 519, 1981, 540, 12110, 543, 5084, 676, 476, 2767, 260, 543, 476, 2190, 9077, 6606, 269, 634, 1981, 540, 5042, 9178, 1851, 4587, 2043, 9907, 476, 4792, 269, 271, 1296, 543, 1657, 729, 4389, 3648, 676, 476, 2537, 269, 271, 18336, 763, 17258, 540, 2963, 729, 519, 5207, 585, 22980, 628, 24945, 5052, 267, 2539, 585, 2732, 267, 543, 2547, 585, 11919, 269, 11576, 6638, 2079, 267, 27195, 2665, 8995, 1369, 835, 1032, 267, 26857, 2147, 2164, 563, 14454, 267, 519, 1353, 4681, 4951, 602, 15060, 268, 274, 4874, 12584, 18260, 9761, 3679, 946, 3648, 22485, 519, 1981, 540, 5084, 267, 609, 21483, 15645, 908, 2360, 676, 3284, 30649, 29952, 661, 267, 538, 513, 9570, 17466, 6073, 267, 2523, 1851, 1279, 3856, 6800, 563, 763, 13849, 20400, 2164, 22541, 519, 2078, 1063, 15060, 268, 274, 543, 741, 15672, 24750, 518, 2157, 543, 12110, 267, 5042, 9178, 267, 610, 5084, 563, 763, 4589, 6069, 602, 835, 6121, 3232, 1223, 581, 2808, 519, 12939, 9570, 585, 15060, 268, 274, 6981, 547, 2061, 5042, 9178, 563, 32513, 1670, 667, 11190, 543, 16501, 2157, 267, 543, 22980, 628, 24945, 974, 667, 11190, 2157, 267, 1590, 581, 8947, 5781, 1851, 2043, 693, 606, 11506, 1981, 540, 5084, 269, 1717, 267, 2104, 2090, 1590, 581, 5342, 547, 2087, 1620, 540, 519, 5444, 10276, 1444, 4205, 538, 15060, 268, 274, 6981, 269, 0, 26581, 7434, 19288, 4249, 513, 2629, 1909, 538, 1585, 6080, 267, 4180, 519, 8851, 540, 23606, 543, 17694, 689, 12862, 543, 575, 13293, 269, 13229, 19288, 568, 1898, 585, 4509, 1587, 2298, 267, 3937, 15325, 267, 543, 2949, 10512, 4398, 269, 1284, 786, 2263, 519, 1114, 2010, 540, 4853, 19288, 267, 741, 3156, 267, 519, 3334, 3238, 267, 543, 519, 2188, 602, 1860, 519, 1942, 269, 1306, 606, 2872, 6205, 538, 8888, 543, 5663, 2688, 12086, 2094, 476, 4198, 280, 267, 681, 10422, 269, 12658, 1457, 814, 519, 6791, 547, 1683, 3358, 3435, 602, 2743, 519, 1808, 19288, 2115, 540, 4213, 269, 2913, 779, 5490, 883, 519, 1158, 540, 4853, 19288, 543, 3605, 519, 3309, 2039, 540, 19288, 2010, 543, 741, 3156, 563, 1692, 6496, 519, 6713, 540, 11633, 674, 2830, 1674, 4518, 888, 26581, 7434, 19288, 568, 513, 1184, 602, 3322, 19459, 13311, 5536, 610, 17694, 689, 513, 5714, 610, 3154, 6908, 269, 634, 19288, 1184, 3335, 5161, 540, 519, 1739, 3268, 912, 268, 674 ]

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

[ 898, 568, 849, 2565, 547, 2327, 602, 3937, 4773, 616, 17956, 5265, 267, 865, 789, 1810, 1406, 1847, 1472, 610, 1711, 513, 1761, 9651, 563, 4415, 519, 1318, 4999, 540, 1404, 3937, 543, 22525, 7888, 6272, 267, 596, 666, 1711, 513, 2922, 543, 3872, 19209, 585, 707, 2370, 835, 602, 786, 5000, 2168, 2534, 1247, 3246, 9118, 1565, 3255, 563, 2252, 596, 991, 948, 2870, 606, 9205, 19209, 585, 20854, 267, 9501, 296, 1773, 10415, 666, 948, 269, 3776, 2319, 540, 4966, 814, 1296, 540, 1995, 8888, 543, 16459, 1187, 543, 2922, 19209, 338, 256, 5192, 538, 5905, 609, 721, 2221, 547, 1451, 811, 827, 875, 649, 666, 1374, 519, 3501, 19209, 585, 707, 1126, 269, 0, 31094, 609, 606, 3573, 1702, 540, 6128, 1315, 3245, 9504, 267, 519, 1863, 22605, 454, 32091, 26264, 342, 663, 3642, 267, 1577, 781, 1832, 621, 2110, 676, 3274, 16460, 891, 1883, 2055, 912, 4692, 596, 1592, 519, 1283, 5013, 543, 28135, 827, 4223, 11490, 1014, 888, 11764, 3405, 1125, 713, 2376, 585, 513, 476, 1015, 1296, 2025, 454, 17239, 8582, 20231, 32530, 16739, 454, 288, 22301, 568, 2576, 945, 3096, 606, 3573, 1702, 540, 6128, 538, 741, 960, 267, 3335, 547, 4194, 6310, 2042, 269, 4223, 11490, 2103, 616, 7255, 609, 2338, 267, 1239, 267, 7274, 267, 2497, 267, 2230, 267, 3631, 267, 543, 1689, 563, 31094, 609, 606, 3573, 1702, 540, 6128, 454, 347, 4467, 7065, 4293, 1475, 12385, 24136, 267, 10763, 1983, 543, 2565, 3206, 1983, 2008, 347, 2710, 28118, 4110, 267, 12212, 4487, 781, 4110, 347, 0, 292, 1595, 344, 540, 4516, 454, 763, 4346, 540, 4516, 568, 513, 3810, 2919, 6404, 4346, 609, 476, 1015, 628, 4102, 12654, 676, 22194, 543, 476, 1704, 628, 4102, 12654, 676, 623, 13048, 538, 519, 1158, 269, 4516, 568, 835, 540, 519, 1158, 781, 5763, 5006, 6082, 609, 1164, 3044, 540, 2713, 543, 2298, 540, 1272, 269, 1306, 609, 824, 2919, 6082, 267, 519, 2197, 781, 4346, 568, 13856, 676, 519, 3028, 2872, 267, 799, 18271, 827, 1614, 20453, 540, 23671, 269, 28657, 814, 519, 8772, 5207, 2698, 6059, 1871, 540, 2067, 2200, 267, 12595, 693, 2475, 259, 3451, 269, 273, 18265, 538, 476, 1001, 277, 20193, 814, 519, 1158, 781, 3791, 4102, 8810, 19386, 14425, 543, 568, 519, 8772, 4102, 1163, 7163, 540, 19386, 269, 898, 568, 849, 519, 8772, 4102, 1163, 7163, 540, 2067, 3154, 269, 4516, 568, 2808, 606, 834, 24479, 2706, 12741, 257, 1813, 547, 922, 10731, 2067, 2200, 563, 19328, 910, 4516, 9534, 454, 28657, 910, 3127, 1894, 267, 610, 21475, 4211, 534, 6598, 1894, 267, 616, 519, 32618, 24845, 1894, 1063, 4516, 543, 519, 6243, 540, 3127, 267, 799, 616, 3710, 2390, 513, 834, 332, 583, 783, 7029, 547, 9111, 2580, 834, 680, 1116, 1143, 2580, 543, 834, 15161, 3562, 268, 15161, 6402, 2580, 2687, 547, 519, 2229, 540, 4516, 11065, 1054, 616, 5449, 3703, 10125, 543, 2407, 2818, 540, 519, 20448, 540, 8315, 267, 609, 4516, 1373, 1753, 547, 835, 540, 519, 4102, 4095, 1019, 19166, 553, 538, 519, 1158, 563, 28657, 543, 3127, 2972, 513, 25133, 9467, 2078, 269, 4595, 476, 1220, 275, 267, 5103, 519, 17623, 910, 476, 1220, 271, 338, 21748, 267, 4123, 814, 2799, 676, 936, 476, 3583, 10065, 769, 476, 1220, 280, 267, 8225, 18666, 547, 3127, 9103, 6817, 595, 259, 273, 269, 272, 5479, 267, 1247, 538, 519, 1482, 1032, 8225, 20558, 689, 3127, 9103, 6817, 595, 259, 273, 269, 271, 5479, 267, 4758, 4516, 513, 595, 259, 1911, 2929, 4123, 21045, 563, 28657, 543, 3127, 616, 4867, 8066, 16395, 593, 519, 18043, 9483, 26844, 15716, 630, 4753, 5183, 264, 547, 2087, 519, 4123, 1894, 1063, 519, 1079, 2477, 269, 1306, 540, 4728, 476, 1001, 276, 267, 519, 1079, 2477, 4371, 741, 476, 280, 628, 5180, 540, 16395, 538, 1715, 16156 ]

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

[ 10719, 267, 610, 513, 1279, 1467, 630, 1492, 8545, 568, 1419, 1031, 676, 5496, 32392, 585, 741, 20072, 1040, 3883, 12834, 540, 570, 3951, 4041, 267, 676, 27483, 295, 3036, 563, 14611, 3197, 281, 8863, 2752, 3722, 9898, 476, 272, 281, 23370, 31304, 303, 3582, 8863, 2752, 3722, 9898, 476, 273, 281, 23370, 31304, 303, 3582, 8863, 2752, 3722, 9898, 476, 274, 281, 23370, 31304, 303, 3582, 18264, 322, 1496, 19860, 4629, 24315, 8980, 20370, 295, 1107, 12315, 513, 2656, 7650, 540, 519, 3003, 1650, 543, 1292, 5708, 267, 2446, 4376, 2576, 1131, 991, 547, 917, 827, 875, 519, 1433, 568, 2854, 585, 707, 5758, 547, 1118, 2631, 1765, 324, 3052, 563, 1492, 269, 589, 4845, 568, 7768, 540, 1913, 19882, 883, 2453, 543, 21291, 269, 22718, 630, 335, 1513, 532, 264, 513, 4845, 543, 922, 3334, 2337, 596, 1174, 519, 1599, 540, 1142, 540, 922, 17205, 267, 13450, 267, 543, 1110, 13294, 538, 519, 4845, 865, 596, 666, 2328, 1732, 476, 11463, 260, 263, 6812, 1916, 28415, 5758, 540, 8834, 700, 4861, 731, 781, 9050, 7734, 540, 29941, 269, 552, 24687, 4729, 24096, 3382, 782, 519, 1713, 2962, 540, 9050, 7734, 540, 29941, 269, 1411, 917, 2835, 269, 1411, 917, 873, 676, 741, 1101, 4845, 267, 676, 741, 2063, 4845, 267, 4440, 676, 741, 8772, 4845, 540, 519, 18749, 5037, 538, 519, 8938, 3887, 12915, 3184, 563, 2237, 519, 5758, 538, 26567, 1931, 269, 589, 5758, 1058, 1459, 519, 2621, 538, 519, 5311, 602, 789, 5949, 269, 3680, 17259, 1472, 1063, 1114, 2694, 540, 519, 1433, 269, 10670, 693, 519, 4098, 543, 1439, 693, 519, 10678, 547, 2226, 519, 8699, 540, 519, 3312, 1650, 269, 14674, 519, 2101, 4729, 2798, 543, 3197, 563, 9359, 676, 10962, 519, 2140, 476, 3199, 260, 14061, 22054, 5811, 5620, 4843, 519, 8847, 540, 519, 4845, 689, 519, 1448, 540, 2070, 540, 519, 1614, 2010, 540, 8239, 267, 649, 1631, 1413, 693, 519, 4845, 2079, 610, 811, 8308, 1018, 2186, 540, 6898, 1281, 1142, 1826, 540, 8239, 1131, 1118, 827, 513, 1880, 4845, 538, 2296, 563, 7078, 634, 2875, 1705, 519, 12025, 281, 22995, 269, 24553, 18307, 2719, 267, 529, 513, 9972, 4081, 25129, 693, 11908, 8828, 2160, 267, 1141, 1352, 2337, 1053, 2087, 741, 4081, 2773, 543, 1020, 1434, 1353, 1983, 563, 5591, 2339, 1018, 596, 2811, 1603, 267, 581, 621, 519, 1985, 1390, 3209, 267, 606, 1557, 585, 1153, 267, 610, 513, 1433, 1867, 267, 596, 723, 547, 7001, 707, 5304, 781, 3007, 609, 513, 1390, 2433, 24553, 18307, 2719, 269, 8058, 4845, 10083, 8058, 1655, 1913, 8281, 5681, 3405, 1125, 654, 573, 1326, 269, 6435, 803, 269, 1411, 723, 2042, 609, 519, 5681, 3405, 1125, 1907, 563, 7775, 5310, 596, 1616, 547, 917, 922, 2407, 1761, 269, 3367, 713, 2656, 3391, 543, 1294, 875, 596, 666, 2087, 707, 2164, 269, 7797, 513, 17079, 269, 6657, 6816, 3091, 2185, 7400, 2079, 2259, 5220, 543, 568, 513, 7110, 547, 18049, 6816, 543, 568, 519, 1101, 540, 519, 10026, 7400, 2259, 960, 9248, 563, 21132, 2832, 568, 547, 2087, 1053, 262, 8239, 543, 1603, 1983, 998, 2079, 540, 1367, 5220, 269, 4841, 960, 998, 519, 5220, 1210, 519, 2189, 2185, 7400, 2079, 1505, 602, 568, 5189, 538, 563, 288, 5758, 568, 513, 13801, 7778, 540, 519, 1292, 2093, 543, 5885, 3877, 540, 513, 960, 540, 1603, 269, 1677, 6430, 799, 3877, 547, 1331, 538, 519, 5758, 540, 513, 1433, 3184, 267, 2015, 519, 834, 15367, 267, 1018, 267, 950, 267, 1141, 267, 1946, 543, 875, 257, 1247, 2542, 519, 3184, 269, 6875, 4967, 602, 2626, 891, 2055, 543, 29289, 519, 1344, 883, 2347, 5220, 563, 16605, 519, 1560, 540, 707, 4367, 5266, 2110, 269, 589, 5037, 538, 513, 5339, 2079, 1557, 1058, 581, 1063, 5216, 543, 476, 1321, 5220, 1279, 269, 769, 519, 4367, 267, 2328, 1614, 547, 2185, 5220, 3622, 10503, 519, 1888, 540, 707, 1957, 543, 7713, 1946, 621, 568, 4277, 543, 1271, 547, 519, 1433, 596, 1224, 563, 4322, 1614, 610, 2185, 5220, 786, 269 ]

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

[ 0, 1432, 568, 25867, 13262, 888, 32459, 7625, 2566, 568, 519, 5021, 610, 5934, 3339, 2566, 799, 949, 581, 2919, 593, 513, 16041, 1560, 269, 898, 568, 9286, 607, 2101, 9030, 2566, 543, 5634, 9030, 2566, 269, 2201, 519, 7077, 540, 9030, 2566, 19852, 2566, 1871, 568, 17941, 607, 4642, 563, 2691, 9030, 2566, 4991, 593, 519, 2101, 9030, 7077, 267, 621, 568, 1572, 2101, 9030, 2566, 543, 950, 621, 568, 1336, 593, 519, 5634, 9030, 7077, 267, 621, 568, 1634, 607, 5634, 9030, 2566, 269, 1452, 616, 20922, 607, 21566, 272, 543, 21566, 273, 267, 6606, 563, 32459, 7625, 13262, 7869, 454, 9515, 541, 2566, 568, 513, 1793, 14563, 4294, 3196, 602, 3123, 22636, 1813, 547, 14694, 4452, 269, 769, 1022, 2566, 3625, 2627, 267, 972, 568, 4294, 19852, 2566, 936, 519, 7077, 267, 855, 547, 24644, 519, 1560, 972, 267, 649, 991, 547, 4019, 14911, 19852, 2566, 269, 901, 568, 1634, 607, 14911, 19852, 2566, 563, 763, 6240, 540, 14911, 19852, 2566, 568, 950, 519, 1482, 8515, 855, 6587, 4287, 19852, 2566, 568, 4294, 936, 519, 2627, 540, 519, 1560, 267, 621, 5932, 513, 7008, 543, 713, 7008, 11689, 3278, 519, 1560, 269, 901, 13326, 7008, 7271, 568, 1634, 607, 519, 6240, 540, 14911, 19852, 2566, 563, 1432, 568, 26228, 543, 29358, 25867, 13262, 888, 32459, 7625, 2566, 568, 7229, 593, 519, 9030, 7077, 607, 5021, 2566, 568, 1572, 2101, 9030, 2566, 267, 543, 5934, 2566, 593, 519, 9030, 7077, 568, 1572, 5634, 9030, 2566, 563, 268, 21566, 343, 815, 13262, 538, 1535, 4287, 454, 268, 21566, 312, 815, 13262, 538, 519, 962, 4287, 454, 268, 26018, 333, 815, 16453, 19852, 2566, 454, 268, 476, 399, 357, 815, 31007, 5086, 540, 2566, 547, 519, 9030, 7852, 454, 268, 2473, 543, 962, 616, 519, 17887, 540, 519, 7077, 563, 268, 21566, 272, 568, 519, 5021, 9030, 2566, 267, 543, 454, 268, 21566, 273, 568, 519, 5934, 9030, 2566, 269, 621, 568, 849, 17941, 607, 21566, 16655, 663, 21566, 14737, 563, 16655, 3065, 19852, 2566, 630, 16483, 10946, 264, 815, 630, 16655, 3065, 9030, 2566, 268, 19724, 9030, 2566, 8358, 273, 815, 305, 454, 2080, 5021, 19852, 2566, 568, 519, 9588, 540, 602, 1448, 609, 606, 3160, 8953, 538, 513, 544, 2129, 337, 5858, 267, 543, 9030, 2566, 568, 519, 1439, 1448, 540, 519, 5858, 781, 8006, 563, 2080, 649, 1491, 1152, 1079, 8820, 3069, 538, 799, 649, 2015, 21566, 272, 630, 519, 5021, 9030, 2566, 3738, 543, 21566, 273, 630, 1492, 5934, 9030, 2566, 1040, 1809, 538, 519, 2013, 540, 1614, 8820, 3069, 267, 649, 1491, 21566, 272, 267, 21566, 273, 543, 21566, 274, 269, 769, 713, 2013, 267, 649, 6430, 593, 519, 2101, 610, 5634, 9030, 2566, 676, 1210, 9030, 2566, 3069, 610, 24419, 710, 267, 561, 1868, 610, 5021, 9030, 2566, 3069, 563, 16655, 3065, 25867, 13262, 7869, 454, 2691, 519, 4294, 4452, 2877, 547, 581, 7229, 896, 519, 1374, 7355, 267, 519, 2698, 4294, 4452, 1058, 581, 1447, 982, 519, 10700, 6556, 4390, 540, 1570, 5258, 676, 519, 3815, 540, 3106, 269, 901, 3069, 568, 849, 513, 851, 540, 9030, 2566, 6436, 543, 922, 849, 1634, 607, 24419, 710, 779, 3069, 267, 561, 877, 779, 3069, 543, 23483, 3069, 563, 6097, 547, 519, 5021, 9030, 2566, 3069, 8894, 17385, 272, 1341, 21566, 273, 1341, 21566, 274, 18016, 6556, 4222, 270, 15542, 528, 540, 3106, 454, 32459, 7625, 13262, 543, 25867, 853, 1778, 454, 32459, 7625, 2566, 568, 1644, 547, 519, 4540, 9030, 7077, 2139, 17613, 607, 950, 2566, 568, 1899, 593, 5021, 9030, 14742, 607, 2318, 543, 2942, 2566, 1871, 2362, 538, 3172, 6421, 1572, 9030, 2566, 269, 13262, 568, 513, 21723, 1317, 621, 5205, 519, 7004, 3830, 563, 1103, 9030, 8833, 519, 5021, 543, 5934, 3339, 12490, 616, 5833, 676, 1114, 11868, 1535, 267, 543, 586, 10974, 543, 519, 10066, 540, 519, 14742, 540, 519, 12490, 568, 5462, 972, 616, 1079, 5072, 267, 533, 272, 543, 533, 273, 267, 585, 476, 272, 543, 476, 273, 8846, 269, 25867, 12490, 616, 519, 22194, 12490, 609, 2362, 9588, 563, 30131, 717, 12442, 11762, 454, 347, 1805, 24780, 13082, 1475, 1805, 5597, 1473, 9057, 3729, 2008, 31340, 9448, 18065, 1475, 13480, 667, 821, 1635, 589, 10414, 2008, 347, 1805, 24780, 5811, 1475, 300, 10056, 7201, 32322, 2008, 347, 5715, 340, 4701, 769, 10022, 1475, 291, 29174, 18650, 2008, 347, 19686, 2986, 17434, 338, 1475, 1805, 1738, 18650, 2008, 4467, 906, 31095, 513, 6085, 0, 288, 1007, 2473, 305, 2203, 585, 3280, 2199, 5314, 538, 26871, 828, 566, 454, 15761, 2105, 18712, 630, 311, 305, 264, 4016, 547, 519, 2029, 799, 2636, 3755, 547, 1831, 27153, 538, 513, 476, 274, 291, 1604, 20651, 609, 5691, 3615, 799, 789, 666, 13498, 998, 741, 12823, 630, 20200, 1227, 267, 8289, 267, 6217, 543, 5905, 1040, 2473, 305, 568, 3622, 1031, 607, 606, 22597, 2165, 585, 14044, 267, 4119, 7757, 543, 24908, 18712, 269, 2473, 305, 568, 1031, 538, 9118, 9922, 267, 1107, 689, 5663, 267, 2866, 267, 543, 2069, 547, 1072, 543, 9913, 269, 634, 21322, 4787, 22119, 617, 3298, 6390, 4211, 584, 773, 589, 2388, 630, 5960, 7563, 264, 1788, 2473, 305, 1197, 321, 267, 5059, 593, 17391, 2473, 305, 267, 786, 8495, 875, 1004, 13498, 8901, 26871, 828, 566, 547, 1628, 811, 3608, 17021, 2409, 799, 5512, 1164, 7779, 8901, 8301, 593, 2473, 305, 269, 13018, 267, 519, 1788, 786, 1374, 513, 1007, 26871, 828, 566, 17683, 4480, 1759, 593, 513, 4756, 1931, 19264, 2581, 923, 5943, 267, 543, 606, 17391, 2203, 585, 3280, 2199, 5314, 538, 26871, 828, 566, 563, 293, 3658, 540, 2257, 454, 268, 670, 3036, 22003, 2177, 269, 272, 269, 273, 910, 21322, 4787, 22119, 617, 3298, 6390, 4211, 584, 773, 589, 2388, 630, 5960, 7563, 264, 6301, 19510, 454, 24445, 585, 11556, 8450, 824, 3785, 585, 713, 1289, 454, 293, 27448, 30868, 5960, 7563, 6261, 293, 910, 9049, 7563, 6261, 293, 454, 8450, 593, 4786, 0, 290, 11857, 4016, 547, 519, 7608, 2853, 540, 513, 1880, 2146, 269, 898, 13315, 519, 1893, 267, 1148, 267, 8155, 543, 519, 4984, 540, 519, 2950, 269, 18877, 32696, 538, 3309, 2238, 602, 3565, 547, 741, 2528, 269, 1280, 1383, 267, 538, 3624, 267, 1585, 2686, 18428, 616, 13736, 602, 616, 513, 3090, 540, 3084, 9322, 269, 15215, 849, 8309, 1862, 0, 290, 2106, 628, 807, 5576, 28704, 25306, 267, 700, 306, 2969, 303, 267, 700, 5425, 310, 568, 606, 8213, 13309, 538, 12891, 14315, 267, 22622, 21751, 538, 8213, 3797, 267, 13508, 543, 1514, 960, 563, 290, 4321, 5174, 324, 24173, 10657, 630, 30274, 994, 290, 4321, 15515, 24173, 3797, 267, 610, 24399, 267, 568, 513, 1106, 540, 21911, 610, 2126, 585, 2790, 4576, 269, 898, 2501, 538, 513, 3099, 540, 2409, 267, 855, 519, 2596, 1523, 3297, 782, 24399, 568, 519, 1482, 4534, 4555, 2014, 4606, 267, 799, 2014, 3527, 269, 1403, 2576, 16858, 547, 1689, 16609, 5615, 610, 4664, 538, 741, 2729, 267, 789, 991, 547, 1376, 676, 4657, 741, 4555, 269, 24399, 12116, 2093, 543, 5654, 585, 3270, 602, 949, 581, 4929, 5739, 3527, 269, 634, 13309, 2337, 2550, 12189, 1346, 2219, 3270, 543, 267, 538, 3257, 865, 267, 2337, 873, 1745, 1732, 543, 11883, 811, 3927, 563, 30274, 568, 835, 540, 519, 1034, 4922, 6594, 3029, 540, 21911, 267, 543, 621, 814, 1044, 3254, 547, 581, 5393, 2500, 585, 513, 3099, 540, 2790, 10108, 269, 2368, 540, 519, 2152, 602, 4431, 1134, 547, 24399, 1331, 7099, 4713, 267, 7209, 4713, 267, 4189, 4713, 267, 6219, 6057, 267, 3207, 4713, 267, 543, 2618, 5328, 4713, 269, 769, 930, 2665, 267, 24399, 814, 1044, 3254, 547, 581, 607, 2500, 610, 1256, 811, 2500, 982, 6646, 269, 2290, 540, 519, 4277, 1919, 602, 519, 3621, 1353, 540, 24399, 814, 3254, 568, 602, 24399, 2965, 2242, 519, 1259, 519, 2634, 1568, 267, 9308, 5355, 922, 1599, 563, 30274, 15320, 689, 2757, 21911, 538, 513, 1906, 1883, 2081, 269, 2290, 540, 519, 1034, 1271, 21441, 568, 519, 8561, 593, 519, 1379, 543, 5539, 540, 519, 3461, 538, 24399, 269, 634, 3461, 786, 581, 9415, 547, 581, 519, 835, 6998, 519, 2055, 538, 24399, 3797, 267, 543, 1034, 2550, 616, 8655, 6780, 547, 2347, 3544, 540, 3797, 7886, 269, 1703, 568, 513, 1523, 538, 24399, 602, 3025, 814, 1379, 519, 1379, 547, 1689, 875, 789, 1745, 267, 1256, 952, 789, 3112, 1852, 519, 3510, 267, 543, 713, 666, 581, 1360, 16779, 585, 2550, 269, 5221, 540, 713, 1379, 6521, 267, 519, 13309, 12641, 1304, 2078, 568, 711, 607, 2565, 547, 1967, 538, 24399, 607, 621, 568, 538, 824, 12331, 540, 3797, 269, 14904, 1058, 1869, 1205, 2059, 1134, 609, 741, 16293, 267, 855, 789, 798, 711, 991, 513, 2620, 267, 8200, 3929, 4276, 547, 873, 269, 7053, 267, 1317, 24399, 1419, 13000, 513, 1808, 3390, 610, 1966, 267, 621, 568, 2356, 10156, 538, 8653, 982, 2757, 3797, 269, 2755, 930, 11257, 949, 3136, 585, 1296, 267, 24399, 16569, 593, 3328, 1175, 476, 1626, 7886, 563, 291, 658, 624, 673, 10263, 10657, 454, 291, 658, 624, 673, 2623, 3797, 267, 610, 667, 6630, 267, 568, 513, 1106, 540, 5042, 2623, 3797, 630, 30274, 264, 602, 729, 8385, 2919, 547, 948, 519, 1034, 16094, 15508, 2192, 543, 20158, 2550, 3398, 3797, 269, 898, 12346, 593, 519, 1482, 1523, 538, 24399, 602, 12116, 519, 2078, 1063, 4555, 267, 4606, 267, 543, 3527, 267, 855, 538, 667, 6630, 519, 8561, 568, 1101, 593, 10343, 2864, 982, 1689, 269, 1703, 568, 849, 606, 8561, 593, 11009, 267, 1412, 7424, 538, 519, 4090, 10086, 543, 11005, 2553, 971, 607, 10649, 269, 1452, 616, 5916, 609, 513, 1390, 4308, 540, 15418, 543, 19015, 689, 519, 13309, 563, 763, 2262, 1412, 323, 658, 624, 673, 262, 1797, 9117, 998, 15852, 4229, 267, 543, 713, 2262, 4016, 547, 513, 1906, 1114, 15852, 2035, 538, 667, 6630, 912, 291, 658, 624, 673, 2623, 3797, 729, 2919, 950, 16293, 12394, 547, 946, 24399, 2553, 593, 519, 1034, 12517, 2192, 2550, 10443, 883, 513, 1966, 269, 1879, 789, 6700, 602, 513, 3461, 1689, 741, 4555, 267, 891, 1360, 7925, 2550, 1131, 1831, 16397, 543, 2490, 10728, 610, 29047, 269, 667, 6630, 729, 2919, 547, 1489, 891, 2550, 609, 10343, 543, 15418, 1247, 1869, 13057, 873, 2509, 4657, 16609, 4555, 269, 4014, 849, 1031, 585, 29047, 543, 1582, 3620, 9879, 2550, 2221, 267, 891, 2395, 267, 667, 6630, 568, 5631, 1031, 547, 1521, 8473, 1467, 7209, 4524, 269, 898, 568, 835, 540, 519, 1906, 2500, 7459, 585, 713, 3978, 4576, 563, 291, 6630, 814, 1044, 3254, 547, 581, 1360, 2500, 693, 4227, 1582, 1673, 652, 10614, 2623, 269, 898, 666, 849, 581, 1031, 547, 4001, 1007, 12003, 1983, 543, 2333, 513, 3461, 781, 1582, 12635, 543, 8404, 547, 1831, 8902, 563, 28848, 4713, 616, 2790, 543, 2168, 10108, 602, 1764, 2623, 267, 4664, 267, 543, 4555, 827, 4189, 267, 1426, 267, 1560, 5920, 267, 543, 2597, 269, 1452, 4713, 616, 6353, 676, 840, 21232, 725, 609, 1426, 543, 2168, 2450, 267, 4611, 538, 10565, 6197, 2242, 543, 8801, 1072, 2360, 269, 769, 519, 2250, 267, 4189, 4713, 941, 1419, 8995, 1210, 19483, 630, 7853, 2527, 4994, 1070, 610, 676, 12570, 2576, 781, 2597, 269, 14856, 4713, 12665, 1631, 5431, 602, 4189, 4713, 949, 2049, 538, 1004, 540, 782, 7306, 269, 634, 1034, 1455, 4189, 4713, 616, 30604, 6179, 6242, 267, 4439, 574, 807, 6179, 6242, 267, 543, 28675, 3887, 908, 4524, 630, 289, 3633, 1916, 2304, 24803, 6179, 6242, 267, 4749, 5219, 547, 607, 30604, 267, 568, 513, 4524, 1141, 1004, 16094, 6615, 519, 2010, 543, 7274, 540, 1426, 789, 3548, 269, 8409, 609, 30604, 723, 606, 3665, 4250, 540, 4189, 543, 11543, 2597, 543, 949, 14578, 9260, 2933, 610, 4497, 538, 5739, 5615, 971, 607, 7050, 3635, 610, 27781, 269, 8409, 609, 30604, 1419, 1265, 2933, 840, 31039, 609, 1426, 267, 855, 8572, 547, 8532, 513, 2635, 2179, 540, 621, 269, 901, 2164, 538, 2589, 971, 607, 25983, 958, 1970, 19483, 267, 6171, 10638, 267, 9854, 267, 535, 31021, 267, 543, 21443, 27695, 630, 331, 871, 540, 28689, 538, 2021, 1040, 1323, 24803, 949, 2014, 17824, 880, 32396, 540, 519, 3946, 267, 28221, 543, 9991, 856, 4552, 267, 5835, 880, 2960, 267, 543, 26816, 1872, 334, 630, 325, 710, 267, 1524, 344, 4552, 1040, 19382, 15860, 267, 30604, 666, 1291, 547, 1418, 5821, 267, 2634, 3441, 267, 543, 1256 ]

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

[ 763, 2160, 540, 26609, 779, 14628, 14015, 6174, 267, 799, 3096, 5011, 4754, 5067, 541, 547, 11571, 519, 5377, 540, 519, 5836, 6989, 267, 1519, 31393, 540, 5070, 267, 2620, 23898, 543, 27712, 563, 763, 4999, 540, 519, 5067, 541, 2029, 543, 3619, 3682, 12514, 5512, 519, 2319, 547, 811, 3927, 7114, 1761, 9072, 563, 263, 20124, 281, 4460, 631, 13238, 270, 17206, 540, 26609, 12467, 1103, 513, 1650, 4412, 8215, 538, 1804, 851, 676, 4960, 267, 835, 540, 519, 1079, 454, 8705, 680, 6951, 4362, 4505, 713, 1032, 5828, 856, 547, 723, 2123, 454, 28947, 547, 6833, 18115, 563, 2005, 729, 9112, 538, 513, 570, 14019, 26165, 267, 715, 28629, 1421, 4937, 454, 300, 582, 832, 12051, 693, 799, 6833, 18115, 779, 22516, 6039, 607, 519, 5862, 543, 454, 24404, 18115, 729, 23387, 540, 519, 1920, 4276, 547, 7077, 454, 335, 3174, 2394, 6158, 609, 1010, 4651, 513, 1906, 2395, 1991, 547, 8977, 532, 454, 1721, 519, 2063, 16939, 267, 543, 1565, 602, 1282, 519, 29053, 4674, 2676, 1492, 13108, 1572, 2390, 4937, 7763, 832, 547, 1489, 717, 5300, 2006, 538, 519, 2504, 454, 1993, 519, 1454, 32571, 543, 11684, 8731, 6244, 334, 17177, 828, 563, 2691, 646, 546, 1882, 547, 519, 454, 342, 516, 1188, 720, 267, 646, 2968, 519, 2034, 1268, 538, 1010, 1920, 547, 1353, 519, 7077, 2676, 29323, 730, 676, 513, 12732, 540, 811, 982, 5722, 5756, 563, 2108, 4415, 3877, 689, 519, 7508, 7077, 779, 2991, 11059, 18614, 6592, 454, 323, 1005, 519, 2112, 267, 649, 941, 2111, 547, 1747, 519, 14742, 2504, 538, 519, 1482, 454, 8690, 602, 1250, 22516, 5249, 607, 519, 5862, 543, 1560, 9614, 267, 594, 454, 3598, 2740, 646, 1131, 723, 1202, 4624, 782, 1560, 1740, 4947, 689, 519, 2030, 3034, 289, 550, 303, 1886, 5795, 2143, 1344, 827, 519, 1079, 4362, 14742, 454, 663, 2009, 6402, 547, 2011, 5443, 7396, 607, 7508, 538, 2962, 547, 519, 454, 23430, 540, 16470, 779, 17434, 31266, 19072, 8656, 19098, 16710, 267, 799, 949, 454, 8974, 339, 820, 6051, 3646, 1985, 1032, 563, 2691, 31179, 3722, 779, 960, 568, 2347, 2676, 28205, 786, 581, 519, 1101, 3811, 9156, 625, 5473, 713, 9241, 454, 2252, 3788, 616, 8120, 547, 6068, 3283, 267, 543, 952, 454, 9928, 27553, 568, 1459, 585, 519, 7237, 267, 646, 814, 606, 2856, 540, 1018, 547, 2503, 454, 5228, 1010, 3105, 2833, 563, 2108, 2304, 631, 8656, 1920, 2760, 8483, 1115, 2223, 646, 1767, 563, 2108, 2691, 594, 3802, 883, 513, 1753, 2676, 11004, 779, 1419, 1869, 513, 695, 9068, 269, 589, 2034, 268, 610, 3791, 22831, 1920, 454, 332, 1897, 666, 1869, 1745, 519, 2530, 1360, 9244, 1317, 789, 2760, 6785, 454, 268, 595, 25892, 2433, 1215, 28564, 303, 1886, 543, 896, 22855, 11608, 1336, 1279, 2000, 739, 24918, 17177, 1499, 454, 268, 6115, 5403, 2433, 1215, 19025, 543, 3619, 3682, 12514, 616, 4543, 9156, 4503, 24918, 14742, 454, 268, 7831, 8184, 1753, 2073, 519, 1166, 332, 540, 519, 1650, 540, 519, 645, 268, 2190, 12284, 0, 1103, 12563, 4915, 267, 13342, 568, 2808, 606, 2500, 1907, 585, 14304, 519, 4761, 1062, 1282, 513, 10006, 538, 10194, 5563, 267, 855, 519, 16392, 3601, 540, 713, 2030, 616, 11786, 1851, 7189, 563, 32546, 2161, 602, 10438, 621, 538, 1507, 9424, 568, 1434, 585, 1072, 538, 1022, 2013, 563, 1432, 616, 519, 2640, 540, 13342, 888, 294, 541, 997, 814, 519, 2702, 547, 2539, 1973, 2604, 543, 7413, 519, 11411, 593, 519, 2295, 269, 901, 10448, 666, 849, 2539, 968, 21112, 892, 8501, 267, 799, 1008, 10280, 519, 5250, 540, 19473, 4592, 13406, 5328, 29693, 13196, 269, 4746, 267, 519, 3334, 540, 519, 3742, 6219, 782, 545, 514, 2746, 609, 2699, 1973, 2281, 547, 1106, 7250, 30423, 563, 294, 541, 997, 849, 3568, 32443, 2023, 322, 1938, 1107, 6878, 9658, 1540, 676, 2371, 269, 1358, 21391, 519, 2208, 540, 4551, 543, 8290, 267, 13271, 269, 24695, 2023, 322, 1938, 711, 1152, 6146, 1486, 9926, 10394, 855, 849, 12954, 519, 2208, 540, 824, 14471, 602, 616, 21087, 1235, 547, 5739, 3029, 269, 901, 849, 2337, 4339, 15495, 538, 519, 24026, 563, 294, 541, 997, 814, 15934, 3601, 269, 634, 6219, 5956, 547, 1106, 1310, 930, 942, 950, 519, 2030, 2281, 616, 2964, 1227, 8697, 1107, 896, 2604, 950, 13342, 568, 2759, 563, 11997, 267, 538, 1931, 547, 1205, 519, 1034, 856, 540, 713, 2030, 267, 596, 991, 547, 14299, 519, 804, 913, 543, 4734, 621, 547, 9114, 1524, 585, 476, 1015, 268, 1428, 3764, 269, 4438, 713, 942, 267, 782, 545, 514, 786, 723, 942, 547, 1106, 267, 543, 13342, 666, 581, 1031, 585, 5986, 563, 1432, 568, 519, 2800, 540, 13342, 888, 294, 541, 997, 568, 513, 2864, 10728, 1587, 269, 1411, 666, 1406, 3548, 513, 2603, 540, 13342, 267, 2523, 593, 606, 8900, 7181, 269, 898, 3123, 606, 3742, 21131, 540, 23441, 10433, 267, 543, 1510, 1426, 267, 621, 568, 5739, 547, 519, 29935, 9245, 563, 8005, 12582, 1406, 3548, 13342, 888, 301, 9173, 626, 17555, 594, 341, 1662, 651, 341, 747, 3081, 602, 13342, 666, 2014, 3978, 2800, 547, 930, 3676, 563, 2108, 294, 541, 997, 568, 15333, 785, 5344, 585, 1004, 609, 1930, 7181, 21385, 269, 898, 1058, 849, 711, 581, 13881, 676, 1004, 609, 8819, 8539, 267, 799, 568, 711, 538, 1121, 2153, 855, 538, 519, 3742, 3942, 267, 543, 6151, 13342, 568, 849, 15333, 785, 5344, 269, 1403, 513, 1268, 609, 971, 513, 1966, 1869, 22655, 13342, 267, 789, 786, 1995, 1928, 543, 9636, 538, 519, 7181, 2223, 1767, 594, 341, 1662, 651, 341, 747, 563, 763, 4274, 1281, 711, 18973, 1004, 945, 798, 711, 723, 16063, 3676, 547, 6057, 13342, 563, 28490, 972, 616, 1100, 7181, 610, 15499, 2042, 267, 1100, 9636, 689, 4189, 13342, 267, 1287, 596, 666, 3548, 621, 269, 898, 786, 581, 513, 7008, 540, 804, 7174, 513, 1554, 269, 1809, 952, 972, 616, 2042, 609, 519, 16063, 8778, 267, 1256, 713, 2179, 568, 513, 2603, 2223, 519, 4274, 6045, 269, 0, 763, 623, 15876, 276, 20959, 3044, 6257, 30096, 2409, 585, 17278, 532, 5907, 17393, 793, 7214, 3959, 630, 7709, 1070, 607, 1134, 607, 519, 2359, 540, 1569, 2924, 585, 971, 7379, 267, 1519, 14842, 540, 7126, 13332, 547, 4894, 610, 6001, 1569, 1852, 269, 634, 2409, 616, 30096, 543, 267, 538, 519, 1034, 19838, 2958, 1190, 2665, 267, 5512, 4323, 10321, 602, 1450, 6051, 540, 519, 3003, 5817, 10750, 3667, 7379, 269, 25956, 725, 540, 20959, 623, 15876, 276, 949, 581, 4617, 547, 6939, 4919, 6285, 602, 1450, 606, 30429, 547, 3489, 10750, 3667, 7214, 3959, 1510, 519, 1883, 267, 1851, 824, 5222, 563, 290, 25446, 268, 20542, 910, 15303, 4919, 12983, 454, 290, 7973, 4919, 2152, 568, 513, 7121, 540, 12755, 1644, 547, 519, 1374, 543, 6388, 540, 519, 22637, 543, 8699, 540, 1239, 269, 1403, 711, 9619, 267, 519, 12755, 538, 713, 7121, 666, 1291, 547, 1239, 2298, 12159, 269, 0, 12606, 938, 4013, 2561, 543, 2259, 593, 707, 5985, 563, 19185, 6619, 585, 10898, 568, 811, 1271, 1247, 6117, 269, 1879, 6117, 267, 621, 568, 1271, 547, 11571, 519, 4155, 6619, 543, 2697, 1022, 1761, 10898, 267, 971, 607, 824, 6472, 267, 19516, 20379, 267, 13770, 743, 1235, 267, 610, 11935, 593, 519, 4155, 563, 2791, 666, 18783, 1761, 2042, 543, 1491, 3617, 2962, 547, 2057, 873, 676, 3168, 6619, 563, 18455, 3222, 540, 707, 10450, 543, 7114, 10898, 6619, 540, 942, 666, 948, 596, 1118, 2922, 543, 12905, 3664, 1247, 6117, 267, 971, 607, 23646, 1524, 267, 4657, 28961, 267, 610, 16069, 547, 2057, 513, 16580, 269, 1635, 4334, 267, 17528, 547, 1413, 6619, 585, 10898, 666, 2333, 707, 1981, 540, 1373, 3238, 538, 606, 8009, 610, 16580, 563, 4407, 824, 3344, 540, 6117, 267, 971, 607, 1073, 324, 3539, 6808, 4031, 267, 1739, 3432, 7182, 267, 543, 4509, 1852, 540, 707, 6174, 267, 616, 849, 1271, 267, 3168, 6619, 585, 10898, 568, 513, 2629, 5057, 540, 17872, 6117, 543, 666, 948, 596, 3251, 2922, 593, 519, 4155, 563, 11997, 267, 2141, 1373, 21713, 543, 3222, 540, 707, 10450, 1247, 6117, 568, 4105, 269, 0, 18455, 606, 3167, 1014, 568, 835, 540, 519, 1034, 19408, 6009, 602, 4896, 1223, 798, 269, 901, 568, 1946, 621, 779, 2629, 547, 1205, 1697, 2866, 1354, 2479, 12394, 547, 6023, 5201, 269, 2353, 519, 1482, 267, 621, 779, 2352, 547, 2057, 7063, 4625, 267, 543, 972, 616, 930, 1455, 7063, 3167, 2103, 1995, 1247, 789, 960, 269, 3367, 593, 547, 1294, 930, 540, 873, 543, 917, 519, 2556, 15416, 602, 596, 991, 547, 1491, 269, 23560, 713, 786, 2087, 707, 8458, 540, 9319, 606, 5945, 543, 5329, 3054, 2922, 1247, 596, 960, 865, 596, 666, 2057, 513, 4600, 685, 13180, 2013, 563, 763, 1034, 1455, 5945, 585, 3167, 2103, 568, 3478, 6850, 322, 3176, 269, 4438, 606, 5122, 10380, 267, 621, 779, 1271, 547, 1491, 7850, 3106, 3800, 538, 1931, 547, 7413, 519, 1981, 540, 7092, 606, 5122, 8710, 269, 2755, 713, 568, 835, 540, 519, 1455, 7063, 3167, 2103, 1995, 1317, 621, 10416, 2501, 609, 519, 8513, 267, 621, 666, 581, 14603, 543, 602, 568, 1946, 621, 779, 1271, 547, 1491, 3106, 3800, 563, 4322, 1331, 9849, 519, 2953, 3106, 10591, 543, 1818, 2386, 602, 596, 723, 2312, 2792, 609, 707, 12284, 269, 1411, 849, 991, 547, 3251, 1445, 338, 539, 593, 519, 4305, 693, 1688, 543, 2638, 707, 960, 7466, 267, 543, 1256, 4278, 823, 269, 898, 2760, 9292, 1206, 547, 581, 5595, 1606, 675, 1317, 519, 1981, 568, 1164, 2614, 547, 15549, 519, 15416, 269, 5901, 538, 2247, 602, 1256, 952, 972, 5749, 1406, 1022, 17236, 1310, 606, 5122, 8710, 607, 1004, 616, 1031, 547, 267, 972, 779, 1869, 513, 1164, 1761, 540, 5945, 563, 16978, 3740, 8710, 666, 2014, 2855, 15219, 8926, 267, 519, 2530, 540, 9637, 267, 7411, 7244, 267, 17465, 267, 543, 13487, 10654, 269, 1306, 971, 267, 621, 779, 1271, 547, 798, 707, 1655, 547, 1118, 2386, 602, 9444, 596, 6862, 519, 2818, 540, 707, 12284, 616, 693, 1981, 540, 3478, 6850, 322, 3176, 269, 5221, 596, 3580, 946, 707, 3946, 547, 6023, 1272, 12904, 543, 5122, 2645, 267, 621, 779, 1455, 602, 1034, 5122, 8710, 7063, 786, 1860, 519, 3946, 563, 289, 5281, 616, 1776, 835, 540, 519, 1455, 7063, 3167, 2103, 1995, 269, 901, 568, 2523, 3020, 538, 519, 2013, 950, 835, 568, 2324, 609, 513, 2661, 1699, 269, 1403, 596, 2097, 883, 1463, 3346, 609, 513, 2661, 5911, 267, 513, 6633, 786, 1419, 1267, 269, 901, 949, 581, 513, 1101, 24266, 6633, 267, 799, 568, 5634, 855, 1869, 3833, 11213, 269, 901, 5945, 5222, 519, 2960, 779, 9018, 4494, 267, 4929, 25017, 543, 11926, 269, 6271, 6633, 602, 949, 2049, 1282, 606, 5122, 11443, 8009, 568, 513, 2034, 24266, 6633, 269, 901, 4422, 4514, 982, 513, 1101, 24266, 6633, 543, 5012, 547, 1025, 3563, 532, 269, 634, 3791, 1826, 540, 6633, 602, 949, 2049, 568, 519, 1034, 3978, 267, 543, 621, 779, 513, 3791, 24266, 6633, 269, 901, 5945, 14796, 782, 519, 6106, 540, 519, 2960, 607, 1134, 607, 13285, 267, 8031, 267, 543, 6091, 267, 543, 621, 949, 723, 513, 3982, 3668, 540, 1928, 563, 16605, 538, 2247, 602, 621, 779, 2009, 547, 1995, 513, 6633, 1256, 952, 596, 1810, 1406, 1205, 883, 1463, 3346, 609, 513, 2648, 5911, 269, 901, 568, 1317, 9095, 1025, 6814, 543, 30303, 666, 2014, 8143, 17236, 267, 799, 616, 1100, 9762, 716, 17236, 269, 1323, 9095, 19046, 610, 8755, 4386, 950, 3532, 14768, 540, 1164, 993, 704, 720, 2951, 998, 519, 2011, 269, 1452, 3002, 519, 2011, 547, 5210, 602, 666, 979, 607, 1164, 607, 476, 3607, 267, 1822, 5232, 18278, 269, 1306, 513, 1267, 267, 513, 3978, 6633, 666, 2049, 547, 4896, 538, 519, 2619, 540, 606, 9095, 19046, 563, 2026, 609, 5122, 8710, 267, 621, 779, 2629, 547, 5957, 3106, 10591, 950, 2324, 609, 2661, 12904, 269, 1411, 849, 991, 547, 723, 519, 1318, 2645, 543, 3937, 609, 596, 952, 596, 1616, 547, 2327, 602, 596, 666, 960, 9108, 543, 7561, 269, 898, 779, 1271, 547, 4063, 602, 596, 666, 849, 1995, 543, 4835, 6633, 689, 5201, 1317, 519, 1699, 949, 2951, 998, 707, 1560, 269, 1306, 971, 267, 4105, 8219, 949, 581, 18385, 8697, 269, 898, 949, 581, 2352, 547, 1521, 17236, 543, 6281, 5563, 4122, 2049, 607, 513, 1267, 269, 2334, 1767, 267, 596, 991, 547 ]

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

[ 630, 514, 4436, 1040, 19124, 632, 30421, 344, 614, 269, 533, 269, 476, 5038, 278, 269, 9768, 476, 7818, 268, 274, 268, 1556, 268, 271, 2537, 278, 6858, 268, 273, 563, 268, 3627, 570, 269, 918, 5255, 267, 834, 763, 7503, 543, 519, 5912, 689, 10021, 1438, 547, 6196, 9721, 2580, 661, 2006, 807, 476, 1724, 267, 476, 1960, 276, 0, 1103, 519, 4947, 1296, 267, 513, 1297, 540, 1007, 7835, 538, 1216, 2126, 4066, 616, 2469, 547, 948, 1118, 519, 1216, 2922, 585, 6704, 267, 28876, 267, 543, 12555, 563, 3080, 540, 519, 1034, 9621, 7835, 538, 891, 2127, 568, 602, 621, 786, 1450, 585, 519, 946, 540, 968, 13582, 892, 1216, 538, 519, 2126, 1184, 267, 609, 1100, 5739, 6878, 1373, 5950, 883, 519, 1604, 563, 1607, 786, 581, 2009, 1317, 519, 3114, 6547, 616, 31181, 267, 543, 972, 568, 1100, 991, 585, 1022, 3114, 21187, 538, 519, 1216, 563, 2690, 519, 5301, 540, 713, 2376, 267, 649, 786, 946, 519, 2165, 968, 13582, 1216, 892, 547, 3277, 547, 1216, 5701, 538, 713, 1259, 267, 543, 946, 2474, 899, 968, 13582, 21226, 2126, 892, 547, 5815, 602, 713, 568, 606, 13476, 7874, 2029, 563, 2080, 779, 513, 15059, 540, 1018, 649, 1611, 950, 649, 2911, 827, 968, 13582, 2126, 892, 1934, 563, 16675, 1216, 568, 519, 1034, 13476, 7874, 1216, 2126, 1184, 1703, 616, 513, 1297, 4066, 602, 723, 1044, 2919, 538, 2487, 1296, 547, 1521, 1216, 538, 713, 6073, 267, 799, 723, 8810, 547, 581, 1312, 2500, 543, 1942, 15807, 563, 3080, 971, 2029, 568, 519, 968, 13582, 518, 892, 1216, 2126, 563, 1607, 2029, 3322, 519, 946, 519, 946, 513, 2067, 1587, 602, 814, 1044, 29881, 547, 513, 1360, 1164, 1377, 540, 19454, 267, 543, 1287, 513, 3126, 540, 3114, 6547, 602, 723, 519, 2702, 547, 968, 516, 23983, 569, 892, 2981, 621, 883, 513, 811, 13476, 7874, 1587, 563, 1103, 1840, 547, 713, 2029, 267, 972, 568, 513, 2029, 602, 814, 5063, 1044, 2919, 602, 3096, 606, 4244, 547, 1216, 2126, 1572, 513, 968, 5139, 549, 268, 31516, 892, 2126, 563, 288, 8652, 268, 750, 332, 1023, 1184, 3322, 519, 8022, 540, 1216, 547, 1711, 9252, 563, 1607, 1184, 7472, 513, 2603, 540, 3002, 267, 799, 538, 2490, 7472, 513, 1978, 2179, 540, 5201, 563, 1607, 5201, 568, 1287, 6740, 538, 513, 3926, 1572, 513, 6007, 267, 543, 519, 2179, 540, 1648, 602, 666, 581, 6740, 538, 519, 6007, 666, 581, 6417, 998, 513, 1184, 1572, 968, 31516, 7269, 9731, 1607, 1184, 568, 1360, 1648, 3608, 543, 814, 513, 1360, 1970, 1942, 563, 4913, 267, 519, 17498, 728, 547, 713, 1505, 568, 602, 519, 3002, 568, 5950, 883, 938, 1604, 563, 3080, 1383, 540, 713, 568, 519, 5305, 540, 20342, 267, 513, 3114, 602, 568, 1419, 1031, 607, 513, 676, 1790, 6055, 538, 519, 5478, 540, 18168, 543, 13851, 563, 1103, 930, 2477, 267, 621, 568, 10363, 547, 946, 20342, 538, 6683, 267, 543, 865, 713, 666, 723, 606, 8801, 1764, 593, 6705, 945, 946, 20342, 547, 6992, 1125, 741, 4610, 563, 763, 1482, 3390, 666, 581, 2938, 609, 824, 6464, 1031, 538, 519, 2504, 540, 13226, 267, 13851, 267, 543, 1082, 824, 2472, 563, 5194, 1271, 3390, 568, 519, 946, 543, 12871, 540, 713, 1216, 563, 1607, 568, 1141, 519, 1216, 2126, 2029, 2731, 31438, 563, 763, 1184, 602, 649, 616, 6158, 827, 538, 713, 2376, 3096, 513, 1184, 602, 568, 1312, 13476, 7874, 543, 1942, 2500, 563, 2005, 779, 513, 968, 13582, 2029, 892, 1317, 519, 1216, 568, 1031, 538, 513, 1259, 602, 568, 13476, 7874, 563, 1607, 2636, 585, 519, 1216, 547, 581, 5701, 609, 513, 2539, 1377, 540, 6757, 6464, 267, 543, 547, 849, 581, 13381, 267, 2864, 982, 1373, 6740, 538, 25087, 610, 1373, 1031, 607, 1216, 2126, 6464, 563, 763, 5383, 540, 1210, 513, 3039, 2029, 769, 519, 2013, 540, 513, 968, 16675, 1216, 892, 2126, 267, 972, 616, 1079, 1292, 5383, 547, 1210, 713, 1505, 563, 763, 1101, 835, 568, 602, 1216, 568, 5701, 538, 513, 5266, 2973, 1604, 563, 7712, 519, 1216, 602, 568, 1373, 5701, 568, 5701, 609, 606, 5214, 3070, 267, 972, 1058, 581, 2370, 547, 1100, 6464, 1373, 5950, 689, 519, 1216, 883, 519, 5790, 563, 5194, 5413, 568, 602, 972, 568, 2370, 547, 723, 547, 946, 547, 1711, 519, 1216, 267, 543, 2094, 519, 1216, 2501, 689, 513, 2707, 602, 568, 1634, 547, 581, 2973, 267, 621, 1058, 581, 5266, 2653, 547, 22120, 563, 5194, 4324, 540, 1210, 519, 968, 16675, 892, 1216, 2029, 568, 602, 713, 2029, 568, 711, 3908, 547, 1216, 602, 814, 2907, 1044, 5701, 563, 2005, 568, 2009, 547, 3132, 513, 1216, 2126, 602, 786, 581, 811, 3608, 982, 1022, 824, 1826, 540, 2126, 602, 568, 2139, 563, 1103, 519, 1184, 540, 1210, 713, 968, 13582, 10509, 5608, 649, 666, 1205, 2476, 609, 1447, 6464, 1373, 1031, 547, 1118, 519, 1184, 267, 543, 649, 666, 22120, 811, 540, 519, 1216, 950, 621, 568, 711, 2877, 563, 763, 2034, 2101, 5413, 540, 1210, 968, 16675, 4826, 892, 568, 602, 267, 1247, 519, 1216, 949, 711, 581, 2139, 585, 19074, 267, 621, 666, 581, 13381, 538, 824, 2081, 563, 2690, 1383, 267, 513, 2603, 666, 581, 2944, 609, 1216, 689, 513, 3484, 610, 606, 6694, 2244, 267, 799, 666, 581, 1031, 547, 1521, 16894, 563, 2467, 616, 930, 7687, 547, 713, 968, 16675, 2029, 5608, 2705, 563, 2467, 568, 519, 3390, 540, 1216, 602, 2501, 689, 519, 5836, 267, 543, 930, 2010, 540, 1216, 616, 711, 2808, 968, 13582, 5608, 1256, 1498, 789, 723, 513, 1454, 2362, 1377, 540, 17694, 538, 873, 563, 763, 1216, 1031, 585, 891, 2010, 540, 3785, 568, 849, 1360, 6757, 547, 3165, 543, 824, 12748, 1272, 563, 5194, 3390, 602, 2115, 547, 581, 9619, 568, 602, 2094, 649, 616, 1210, 513, 1184, 609, 513, 1360, 1279, 14438, 267, 972, 1223, 581, 2042, 609, 875, 519, 1216, 786, 2085, 936, 519, 1576, 540, 922, 1272, 267, 799, 1223, 723, 513, 2942, 1764, 593, 519, 1216, 779, 1072, 563, 2467, 814, 849, 1044, 930, 15784, 1472, 519, 1761, 585, 519, 968, 12850, 585, 18972, 892, 1982, 267, 799, 568, 513, 1788, 538, 799, 519, 772, 2529, 269, 568, 1210, 1216, 689, 519, 12084, 547, 948, 3049, 519, 17237, 538, 3384, 2477, 563, 7212, 972, 616, 930, 2640, 547, 1210, 519, 1216, 585, 3425, 267, 519, 0, 288, 7250, 14617, 13660, 1090, 1314, 17088, 2599, 286, 898, 1223, 2965, 4755, 454, 2691, 621, 2501, 547, 6472, 602, 6287, 543, 688, 592, 267, 14874, 2766, 335, 6559, 5434, 568, 513, 3787, 540, 513, 16602, 3364, 1317, 519, 9075, 616, 267, 6038, 267, 2864, 1804, 543, 5230, 269, 12025, 543, 2597, 20507, 616, 849, 513, 4641, 585, 6007, 3167, 18213, 6472, 267, 855, 789, 616, 3226, 1713, 585, 5010, 6472, 267, 1141, 789, 2047, 1860, 519, 5021, 15951, 31139, 269, 634, 3070, 267, 2687, 547, 513, 32068, 16669, 3761, 2754, 267, 1223, 581, 7250, 14617, 13660, 1090, 1314, 17088, 9817, 563, 8505, 558, 12067, 5240, 2342, 5063, 12038, 609, 32068, 11653, 10842, 334, 667, 636, 732, 344, 267, 13653, 543, 16628, 540, 623, 4875, 6828, 267, 799, 814, 513, 3099, 540, 16669, 3761, 6703, 2066, 2342, 269, 2290, 540, 1346, 6703, 2443, 513, 4073, 1068, 1778, 4702, 1950, 538, 5695, 514, 267, 7977, 267, 799, 623, 4875, 11751, 689, 4937, 7763, 832, 1310, 621, 24013, 4319, 689, 519, 3864, 2344, 2443, 568, 2324, 593, 14291, 10648, 779, 476, 277, 269, 277, 299, 13660, 1090, 1314, 17088, 2599, 269, 2073, 1336, 538, 6472, 899, 519, 4258, 341, 549, 2280, 18234, 5964, 18074, 543, 717, 10157, 23683, 18074, 269, 2073, 538, 513, 2973, 7250, 1532, 9506, 1379, 2030, 563, 1607, 13660, 1090, 1314, 17088, 2861, 7250, 2599, 786, 4196, 607, 519, 1283, 1439, 540, 513, 7250, 2599, 1920, 602, 786, 849, 1331, 513, 476, 273, 269, 271, 299, 2185, 268, 1097, 331, 5407, 543, 513, 476, 274, 269, 271, 299, 966, 277, 269, 1058, 2039, 689, 827, 476, 8099, 547, 476, 25851, 7504, 12741, 563, 763, 2930, 2591, 540, 7250, 454, 26807, 569, 267, 667, 636, 732, 344, 8098, 1080, 602, 972, 616, 513, 2603, 540, 2930, 23665, 547, 7753, 269, 1280, 1383, 267, 646, 3081, 267, 968, 5139, 4088, 17236, 5722, 2053, 5488, 982, 17088, 267, 865, 596, 991, 547, 2539, 519, 2837, 538, 519, 13674, 12068, 892, 585, 1434, 13674, 269, 968, 12850, 13297, 568, 513, 8810, 2029, 585, 3257, 713, 267, 855, 513, 2942, 2427, 1198, 568, 602, 621, 5932, 14809, 3034, 4517, 1287, 972, 779, 519, 3390, 540, 19149, 566, 267, 799, 568, 968, 534, 1278, 1761, 1966, 585, 606, 2599, 602, 11148, 547, 581, 1360, 3819, 2223, 3081, 667, 636, 732, 344, 269, 968, 8967, 2001, 19149, 566, 568, 519, 1152, 3070, 3034, 763, 1964, 540, 519, 10648, 13660, 1090, 1314, 17088, 2599, 2115, 5266, 2370, 7250, 547, 2196, 7561, 267, 2687, 547, 667, 636, 732, 344, 269, 901, 2882, 930, 5634, 2242, 547, 519, 12718, 2212, 543, 267, 540, 1576, 267, 606, 936, 3873, 592, 540, 519, 13297, 543, 1852, 1949, 563, 2026, 547, 1946, 623, 4875, 6828, 568, 2324, 593, 14291, 17088, 9817, 3079, 540, 4620, 1503, 9817, 547, 2196, 593, 7250, 267, 972, 616, 1079, 1292, 4128, 281, 10333, 1107, 607, 623, 4875, 2907, 6585, 519, 1318, 547, 6133, 13660, 1090, 1314, 476, 277, 17088, 267, 476, 277, 700, 10876, 4849, 519, 7330, 1107, 543, 15006, 269, 968, 17457, 10523, 1564, 616, 2966, 547, 2063, 476, 12573, 267, 1822, 5998, 2223, 6941, 667, 636, 732, 344, 267, 968, 6112, 17405, 9817, 1496, 732, 316, 2966, 547, 2063, 5111, 476, 7742, 267, 1822, 5998, 269, 1656, 667, 636, 732, 344, 25221, 602, 607, 811, 2477, 2569, 3560, 5434, 676, 12145, 610, 7333, 940, 519, 9042, 540, 1007, 4835, 13674, 6472, 267, 811, 17088, 2371, 538, 2342, 786, 23366, 2408, 585, 9042, 563, 3383, 267, 786, 649, 2479, 1294, 513, 7250, 14617, 623, 4875, 13660, 1090, 1314, 17088, 2599, 538, 519, 3345, 1977, 2344, 4258, 341, 549, 2280, 18234, 5964, 18074, 610, 717, 10157, 23683, 18074, 286, 898, 779, 513, 7872, 282, 623, 4875, 6828, 3085, 1406, 723, 519, 2924, 547, 519, 476, 277, 269, 277, 299, 13660, 1090, 1314, 17088, 538, 519, 2475, 267, 855, 621, 1281, 723, 519, 2475, 2924, 547, 922, 7250, 4528, 267, 543, 519, 27229, 1970, 6952, 2557, 1223, 1611, 621, 9327, 1406, 1118, 2631, 269, 585, 10648, 547, 1020, 543, 5478, 922, 1378, 1114, 7250, 14617, 13660, 1090, 1314, 966, 279, 269, 1809, 1810, 1406, 3180, 707, 7362, 585, 835, 540, 623, 4875, 779, 7250, 9817, 547, 2244, 538, 513, 1769, 18213, 6174, 20471, 4166, 269, 667, 636, 732, 344, 3085, 1406, 3494, 972, 779, 513, 8903, 2013, 585, 713, 1769, 1673, 14280, 6174, 5434, 3070, 1317, 519, 7250, 4492, 7382, 267, 1247, 1769, 267, 568, 1804, 2614, 547, 1118, 11183, 513, 4161, 563, 2108, 4407, 519, 2597, 540, 519, 7382, 568, 513, 6824, 540, 513, 6007, 3640, 1107, 1472, 476, 2004, 4846, 3379, 547, 1896, 4627, 13532, 585, 9075, 1107, 519, 7382, 3340, 513, 2230, 540, 1472, 476, 1911, 30184, 2223, 6941, 667, 636, 732, 344, 269, 968, 2005, 779, 513, 1713, 11183, 4161, 952, 596, 1616, 547, 3514, 519, 7382, 538, 519, 17657, 540, 513, 6822, 534, 269, 898, 779, 1256, 811, 16609, 609, 24011, 10587, 269, 0, 763, 1523, 540, 6531, 7384, 7389, 547, 519, 476, 4198, 271, 338, 950, 1804, 8397, 1292, 325, 29707, 609, 1164, 31891, 4393, 1379, 2968, 2139, 563, 30208, 7384, 568, 606, 4720, 540, 2029, 936, 942, 454, 1103, 1931, 547, 1118, 3608, 946, 540, 519, 7384, 1379, 540, 1292, 325, 29707, 267, 519, 2259, 540, 942, 6879, 2130, 267, 610, 4199, 7535, 532, 267, 7960, 269, 4635, 31945, 23525, 267, 4171, 6852, 3483, 729, 547, 7520, 1569, 547, 519, 1292, 325, 29707, 267, 2789, 3755, 941, 2111, 547, 1569, 519, 1482, 1239, 4859, 4494, 543, 17765, 1379, 689, 1022, 12363, 563, 1103, 519, 476, 3192, 271, 338, 267, 609, 519, 5305, 540, 606, 5665, 1062, 1572, 14044, 10724, 630, 30470, 1070, 621, 2968, 2009, 585, 1292, 325, 29707, 547, 723, 2789, 5691, 1949, 267, 610, 5691, 6191, 267, 593, 513, 2582, 2168, 6843, 563, 763, 5691, 3684, 5665, 1062, 7960, 519, 476, 4198, 271, 338, 3498, 540, 3838, 1569, 540, 513, 1292, 18134, 676, 3850, 2789, 3982, 12337, 5054, 547 ]

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

[ 476, 274, 2870, 1568, 11855, 13366, 476, 275, 4295, 2609, 540, 1568, 11855, 13366, 476, 276, 19696, 2959, 538, 269, 3371, 568, 606, 2376, 593, 1557, 3898, 2953, 1557, 3898, 568, 513, 4062, 540, 14735, 952, 596, 1224, 713, 2376, 952, 596, 991, 547, 2328, 606, 15986, 2511, 1557, 563, 763, 2413, 1893, 7681, 4030, 827, 15986, 2511, 689, 519, 15986, 779, 15769, 3732, 1382, 4574, 5528, 593, 11249, 1382, 4574, 269, 3657, 596, 2348, 513, 4161, 11249, 707, 1957, 538, 519, 15986, 2511, 798, 596, 991, 15986, 3898, 948, 689, 12031, 6169, 15105, 543, 11049, 269, 631, 5055, 3898, 568, 513, 2511, 540, 1603, 543, 19696, 8100, 2919, 676, 519, 2413, 1893, 7681, 543, 3370, 538, 519, 15986, 25156, 585, 5830, 540, 1382, 4574, 269, 1452, 3732, 3817, 538, 15986, 3898, 786, 3391, 596, 607, 596, 2328, 543, 12575, 707, 15986, 1164, 1153, 1957, 1451, 547, 3898, 513, 1957, 538, 512, 12350, 1014, 2511, 563, 300, 5055, 2985, 3898, 585, 3594, 2413, 1893, 7681, 540, 606, 1557, 610, 824, 1957, 1058, 1775, 1826, 1250, 2012, 693, 519, 4098, 269, 631, 5055, 2511, 1557, 11249, 281, 19114, 267, 13944, 267, 1899, 19437, 267, 20927, 267, 9623, 3625, 267, 2140, 267, 25034, 566, 267, 3625, 10839, 267, 1568, 11855, 585, 513, 13973, 540, 713, 3381, 267, 726, 563, 11947, 2557, 2123, 3948, 5856, 1826, 1250, 1557, 15986, 3898, 5098, 1603, 948, 538, 15242, 2688, 16075, 1557, 476, 1001, 274, 269, 14474, 1154, 513, 1382, 1957, 952, 707, 14357, 814, 1808, 4170, 585, 519, 3898, 540, 707, 1382, 1957, 267, 2638, 547, 1224, 1007, 9708, 543, 10311, 827, 15986, 2511, 269, 5221, 519, 15986, 3898, 568, 7833, 543, 2653, 547, 946, 875, 547, 1305, 909, 513, 15986, 3898, 538, 2890, 7809, 2262, 1826, 707, 2063, 2012, 543, 513, 2582, 2230, 269, 4813, 5597, 568, 513, 2347, 15986, 11249, 1907, 585, 11112, 1053, 1394, 538, 1153, 1100, 1995, 609, 15986, 3898, 568, 2838, 547, 946, 3898, 1227, 2119, 621, 1631, 585, 1863, 269, 0, 7212, 922, 6228, 814, 1044, 16143, 585, 811, 982, 29235, 1296, 267, 519, 6968, 585, 4158, 2339, 5170, 267, 607, 21575, 1472, 519, 1158, 3801, 547, 3950, 621, 1524, 269, 2107, 616, 789, 782, 1175, 31743, 606, 21903, 888, 763, 3355, 1239, 10356, 676, 519, 6293, 717, 6938, 309, 14510, 267, 585, 513, 5182, 2282, 519, 9649, 3109, 8559, 4092, 693, 519, 4099, 540, 938, 14925, 267, 25495, 519, 11236, 540, 2489, 25536, 538, 519, 1034, 3665, 2175, 563, 763, 6129, 568, 835, 540, 519, 3803, 7164, 4395, 4536, 538, 938, 9891, 3590, 269, 901, 4864, 267, 513, 16785, 729, 9250, 547, 7747, 713, 5182, 538, 13778, 1469, 267, 543, 6251, 982, 2479, 1354, 269, 634, 6662, 568, 547, 4194, 1079, 540, 519, 6574, 13655, 538, 28936, 12695, 563, 763, 28031, 5652, 2623, 540, 606, 20503, 602, 4422, 1996, 519, 2095, 540, 1034, 824, 18477, 4703, 538, 938, 9891, 3590, 19430, 513, 3943, 5174, 571, 7588, 1014, 3621, 5918, 334, 547, 5490, 883, 922, 8129, 269, 1656, 3605, 606, 19366, 689, 513, 5182, 1062, 3564, 938, 1378, 563, 1103, 519, 476, 736, 1296, 2094, 621, 2451, 3047, 585, 21275, 267, 519, 18706, 7236, 6953, 8500, 326, 839, 5692, 814, 1500, 7415, 8906, 267, 547, 519, 1448, 540, 4657, 938, 3003, 1620, 540, 519, 9891, 3590, 269, 4706, 20498, 1439, 1862, 0, 13981, 602, 5548, 1392, 912, 306, 924, 6651, 585, 11334, 543, 14268, 454, 23277, 777, 540, 15345, 21036, 267, 27228, 6537, 676, 2011, 21166, 12681, 674, 1551, 715, 13616, 2934, 16456, 13475, 267, 519, 16713, 5211, 267, 543, 606, 2011, 7615, 563, 268, 3938, 17940, 540, 519, 2817, 19964, 543, 19475, 10029, 454, 763, 2038, 1296, 540, 3013, 781, 2011, 21166, 3028, 454, 684, 9110, 1091, 883, 513, 1650, 540, 27265, 267, 4199, 6888, 267, 10100, 2676, 663, 5647, 602, 1915, 3278, 519, 21722, 5736, 540, 18229, 563, 2005, 568, 513, 1686, 602, 13315, 519, 9542, 540, 1007, 2029, 543, 20174, 547, 4101, 960, 269, 10812, 454, 28205, 3584, 267, 2689, 519, 6859, 540, 519, 2238, 267, 543, 454, 31742, 519, 6402, 543, 2200, 547, 1451, 811, 593, 519, 1641, 563, 11917, 16633, 267, 23527, 1299, 6520, 5426, 585, 11242, 454, 29613, 553, 585, 11242, 454, 1492, 1849, 10796, 281, 634, 5794, 680, 6951, 267, 596, 786, 1224, 827, 2038, 27858, 454, 4310, 676, 519, 5403, 8433, 269, 1411, 666, 1451, 519, 2694, 540, 606, 20987, 2676, 10233, 513, 7792, 2985, 267, 543, 1449, 707, 3965, 609, 606, 593, 11060, 454, 1515, 21166, 16826, 2534, 563, 1492, 1530, 520, 540, 4256, 623, 1218, 281, 634, 15815, 1824, 786, 2285, 596, 513, 2631, 454, 1993, 10760, 606, 2011, 8905, 543, 930, 540, 519, 10898, 21804, 949, 454, 17647, 5185, 269, 1411, 786, 1451, 827, 519, 1272, 540, 513, 12681, 676, 11264, 513, 6450, 639, 267, 2542, 606, 7045, 1650, 267, 543, 7311, 707, 1007, 1922, 895, 1702, 547, 18138, 513, 2845, 1504, 7127, 543, 513, 556, 6088, 4528, 540, 606, 4013, 2011, 21166, 1106, 563, 1103, 2617, 566, 568, 513, 18596, 6249, 538, 519, 1686, 454, 1993, 2011, 21166, 543, 8184, 269, 10812, 519, 5876, 540, 519, 2011, 21166, 454, 335, 7748, 619, 998, 519, 28645, 16743, 3584, 543, 6427, 454, 20365, 1378, 3435, 547, 4948, 2042, 563, 663, 4653, 1299, 2052, 1411, 21023, 888, 2419, 5190, 519, 632, 32147, 650, 663, 667, 295, 268, 275, 1299, 5269, 898, 14568, 454, 2421, 519, 1530, 520, 540, 2659, 623, 1218, 1299, 23560, 2659, 7454, 454, 2252, 596, 6999, 547, 5490, 4514, 267, 1413, 585, 519, 1082, 454, 31904, 547, 519, 1292, 1686, 3296, 540, 713, 3896, 269, 0, 763, 19257, 2928, 540, 9085, 454, 4322, 10565, 2621, 31539, 519, 4838, 540, 476, 16928, 280, 782, 519, 1259, 998, 519, 12668, 540, 519, 681, 4680, 547, 18548, 10290, 1765, 321, 648, 606, 8626, 27274, 3638, 7556, 538, 3332, 269, 3502, 1152, 538, 4207, 3440, 6758, 543, 22521, 14235, 607, 2621, 11200, 539, 282, 13604, 891, 3177, 519, 2339, 585, 519, 1034, 1271, 1568, 540, 519, 1007, 1480, 626, 1686, 543, 12092, 267, 540, 2757, 2239, 6965, 267, 540, 1312, 10906, 534, 3140, 1603, 543, 12225, 1834, 4249, 593, 519, 3942, 28285, 538, 9956, 779, 1686, 13807, 904, 269, 898, 568, 607, 952, 519, 1719, 538, 519, 27314, 1650, 540, 519, 3105, 2540, 267, 609, 922, 1474, 3691, 267, 1973, 3613, 7134, 4755, 902, 267, 17680, 5529, 519, 1857, 2247, 811, 543, 811, 607, 519, 10906, 534, 2085, 18009, 2989, 547, 922, 1378, 9740, 269, 2986, 1576, 267, 519, 4655, 1063, 19903, 2120, 543, 3840, 3177, 5386, 1570, 585, 12583, 543, 4249, 282, 855, 621, 3217, 811, 982, 602, 547, 2272, 585, 621, 269, 898, 568, 851, 540, 519, 15398, 1582, 18221, 267, 519, 9637, 540, 519, 2250, 607, 851, 540, 1459, 1995, 267, 602, 568, 1129, 958, 8984, 540, 519, 10906, 534, 2085, 269, 9956, 5128, 267, 899, 782, 519, 6574, 3860, 5830, 267, 729, 513, 18807, 23302, 812, 267, 6273, 676, 519, 2250, 563, 21292, 293, 604, 18818, 11416, 19881, 11416, 11300, 27752, 5398, 9650, 2296, 3778, 454, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 563, 268, 476, 272, 7868, 1404, 568, 9102, 607, 606, 30569, 547, 634, 6936, 3004, 3022, 344, 540, 9400, 8633, 267, 1196, 269, 4446, 1258, 12197, 269, 9956, 17502, 1421, 476, 7277, 275, 32155, 10104, 0, 1103, 341, 5235, 540, 11870, 663, 599, 12833, 5235, 540, 11870, 22929, 12833, 5235, 540, 11870, 22929, 634, 12833, 5235, 540, 11870, 22929, 568, 4122, 9833, 267, 607, 519, 667, 28233, 267, 543, 519, 2680, 7018, 593, 476, 3707, 275, 1282, 519, 5822, 2622, 2782, 267, 1310, 4436, 13567, 540, 5333, 7498, 12606, 3758, 547, 1294, 3105, 3817, 2483, 272, 634, 11870, 22929, 12833, 5235, 568, 9833, 607, 519, 1158, 779, 6574, 4108, 5106, 267, 1317, 621, 21490, 519, 1259, 585, 519, 19802, 540, 5333, 267, 543, 519, 7127, 540, 519, 20466, 4229, 883, 2342, 269, 634, 1957, 8942, 547, 1865, 519, 4128, 585, 713, 12289, 267, 7282, 519, 2856, 602, 519, 3375, 9863, 547, 581, 513, 17709, 3903, 267, 2094, 621, 3366, 519, 16586, 547, 21704, 5176, 476, 1556, 3275, 267, 1310, 519, 12289, 269, 476, 273, 2290, 1058, 1174, 602, 11870, 22929, 729, 6074, 267, 1317, 540, 922, 7580, 4087, 269, 634, 3375, 729, 711, 17149, 269, 898, 2838, 6297, 4058, 269, 4595, 519, 25569, 13012, 2782, 538, 2342, 267, 11870, 22929, 1185, 711, 2938, 1022, 12289, 269, 4475, 267, 972, 729, 1100, 1259, 519, 16586, 1223, 723, 4397, 606, 4323, 689, 713, 1858, 267, 2094, 972, 941, 1100, 16788, 538, 519, 1858, 269, 476, 274, 634, 1858, 585, 519, 12289, 729, 6074, 729, 1063, 22216, 13118, 326, 543, 2274, 32147, 516, 267, 543, 621, 729, 14191, 547, 519, 7832, 566, 16788, 538, 4789, 269, 898, 1185, 28565, 267, 799, 3366, 547, 8303, 269, 634, 5032, 849, 6035, 519, 1655, 13941, 4025, 267, 543, 513, 7404, 2823, 267, 799, 519, 27469, 1185, 547, 28958, 269, 769, 1249, 267, 11870, 22929, 849, 9863, 547, 581, 2673, 2614, 547, 2327, 602, 25142, 4566, 1223, 581, 771, 6312, 3481, 585, 19666, 26645, 267, 2059, 609, 513, 9381, 4323, 269, 476, 275, 769, 602, 1880, 4832, 540, 476, 3707, 275, 267, 3670, 20679, 543, 6634, 540, 2367, 10692, 543, 519, 1747, 729, 9927, 883, 513, 1973, 8602, 267, 2394, 13609, 779, 4229, 9788, 1524, 741, 8878, 269, 16828, 267, 519, 4155, 547, 8303, 729, 23498, 267, 543, 519, 20466, 7001, 540, 5333, 729, 2347, 269, 476, 276, 2755, 3025, 6785, 602, 519, 27469, 941, 547, 4323, 4166, 267, 865, 602, 789, 1223, 723, 1569, 547, 5333, 267, 519, 2243, 729, 519, 3169, 4087, 540, 519, 4323, 269, 4475, 267, 519, 3693, 540, 9983, 729, 849, 835, 540, 519, 4128, 267, 1946, 11870, 22929, 729, 6074, 269, 634, 21647, 941, 4397, 606, 4323, 2282, 2836, 9820, 267, 2094, 519, 1747, 1185, 606, 1569, 547, 513, 2620, 21226, 2823, 269, 277, 9747, 267, 519, 1544, 729, 538, 971, 513, 1259, 602, 519, 10136, 540, 1142, 2197, 538, 519, 20466, 4229, 1131, 7001, 3180, 540, 519, 17822, 1101, 267, 12077, 2947, 17822, 538, 11870, 22929, 543, 1287, 1847, 24654, 269, 4595, 519, 17822, 1185, 1100, 3771, 26092, 267, 789, 941, 547, 581, 5423, 31567, 267, 543, 19632, 693, 1488, 668, 534, 2583, 538, 519, 3703, 5823, 267, 543, 519, 824, 1055, 15345, 21036, 16047, 269, 5047, 267, 519, 27469, 1185, 9738, 519, 9983, 547, 971, 513, 1804, 6708, 602, 1360, 1906, 16586, 4397, 606, 12289, 689, 11870, 22929, 267, 543, 519, 3983, 4365, 2175, 1185, 1256, 2322, 713, 2856, 856, 540, 519, 8186, 540, 1346, 267, 945, 5892, 2219, 713, 729, 2009, 269, 476, 278, 634, 4244, 1747, 267, 607, 5018, 1657, 729, 519, 2836, 9820, 267, 799, 6035, 513, 2620, 268, 1636, 267, 855, 713, 729, 8185, 13026, 676, 4436, 7980, 269, 1717, 267, 519, 20466, 17086, 1185, 4121, 689, 741, 9073, 3833, 1134, 267, 2094, 789, 1185, 1044, 17204, 693, 12603, 28500, 1079, 1296, 4505, 267, 799, 729, 513, 8185, 29846, 2823, 269, 476, 279, 2986, 1576, 267, 519, 5413, 540, 519, 11870, 22929, 12833, 5235, 267, 3079, 540, 519, 12289, 540, 2836, 9820, 568, 2322, 8521, 676, 700, 1342, 749, 19134, 267, 513, 4108, 14787, 267, 945, 2829, 602, 519, 3483, 540, 4640, 568, 968, 1729, 27298, 519, 7872, 540, 4187, 269, 634, 2832, 540, 4640, 1590, 581, 547, 3142, 827, 713, 6370, 896, 519, 1034, 25368, 6381, 269, 1656, 519, 1034, 25368, 519, 6381, 267, 519, 1447, 267, 8167, 2299, 267, 786, 581, 519, 8165, 6100, 476, 280, 11048, 267, 513, 632, 21082, 5859, 849, 24458, 602, 519, 16586, 4797, 547, 2226, 7952, 4229, 693, 2836, 9820, 269, 6271, 4244, 3769, 2826, 339, 1415, 267, 799, 729, 25323, 3533, 1317, 267, 1247, 621, 1185, 5140, 16788, 267, 621, 1131, 723, 1044, 2653, 585, 5125, 547, 13021, 519, 20466, 7952, 593, 519, 2826, 339, 1415, 25345, 269, 476, 1015, 4913, 267, 519, 11315, 2127, 540, 519, 17822, 693, 11870, 22929, 1223, 957, 607, 513, 15658, 1370, 267, 607, 1134, 267, 2094, 519, 1858, 1185, 30917, 593, 519, 8728, 540, 519, 1216, 563, 1862, 12606, 3758, 547, 1294, 1985, 3817, 5649, 2859, 454, 763, 1957, 568, 6322, 547, 5659, 519, 1114, 5784, 3823, 5208, 593, 519, 2486, 609, 2463, 547, 942, 269, 2290, 1259, 540, 8159, 3270, 540, 5208, 568, 998, 519, 1114, 3029, 540, 2923, 267, 552 ]

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

[ 26165, 563, 1607, 700, 11057, 2777, 729, 2966, 676, 5261, 32095, 2102, 543, 3710, 538, 476, 5002, 278, 585, 7043, 18943, 29009, 626, 12448, 595, 19407, 773, 543, 1010, 7385, 267, 31130, 269, 11427, 595, 19407, 773, 729, 519, 562, 19991, 543, 7550, 8250, 540, 11184, 9400, 16959, 267, 606, 9721, 26934, 945, 729, 30992, 547, 536, 4314, 618, 585, 1272, 1739, 519, 8375, 540, 476, 9692, 279, 269, 3571, 1753, 2282, 5487, 684, 6827, 517, 729, 3957, 4432, 874, 514, 1310, 1010, 5449, 1753, 538, 8581, 563, 763, 595, 668, 9812, 9310, 538, 476, 6942, 275, 543, 538, 476, 6642, 273, 609, 4891, 267, 12349, 5899, 987, 323, 1551, 13749, 2282, 7043, 18943, 269, 13536, 6004, 595, 19407, 773, 1131, 4766, 3344, 540, 741, 1272, 972, 538, 1010, 1433, 2048, 5475, 590, 4869, 344, 1296, 610, 1234, 3712, 27928, 540, 606, 8241, 17312, 2006, 9957, 1261, 729, 15747, 538, 8108, 519, 1101, 3400, 345, 4536, 685, 5948, 538, 24368, 543, 6039, 593, 519, 589, 1090, 659, 6555, 29850, 8274, 563, 13828, 12448, 543, 1010, 7385, 5747, 538, 476, 4350, 276, 543, 616, 12617, 538, 519, 667, 2001, 2023, 543, 1677, 578, 334, 4861, 320, 30895, 269, 769, 519, 1296, 789, 5030, 693, 4432, 874, 514, 621, 729, 519, 8998, 540, 1454, 1514, 2534, 1519, 11427, 595, 19407, 773, 779, 2442, 2048, 520, 5321, 9957, 13536, 5411, 3769, 11480, 21471, 13343, 22084, 2421, 945, 1031, 519, 3573, 1394, 13452, 585, 1010, 1870, 563, 7628, 24918, 267, 7928, 1514, 2621, 941, 4371, 693, 4432, 874, 514, 5600, 585, 9683, 1977, 1425, 545, 18779, 269, 2290, 1867, 814, 519, 4583, 22256, 3794, 611, 903, 3933, 322, 4471, 742, 4758, 513, 13447, 972, 585, 519, 10136, 269, 634, 2777, 729, 2663, 10736, 883, 2185, 1166, 1846, 543, 2968, 513, 23934, 3959, 1310, 13343, 22084, 2421, 5747, 538, 476, 4198, 274, 269, 3571, 5067, 29527, 4797, 1010, 4651, 779, 1870, 799, 729, 4421, 1175, 1991, 547, 1010, 2669, 538, 476, 2735, 276, 269, 769, 476, 1960, 274, 4432, 874, 514, 729, 5697, 585, 519, 11595, 8490, 5980, 779, 11706, 563, 19613, 281, 476, 2004, 10830, 9335, 267, 1677, 578, 334, 4861, 320, 4975, 454, 2414, 578, 334, 4861, 320, 1870, 2006, 15656, 6723, 5153, 2380, 936, 513, 476, 1789, 1032, 1974, 267, 14102, 519, 1646, 540, 10651, 5627, 5810, 267, 19211, 543, 4054, 267, 5402, 5697, 689, 1082, 2694, 540, 519, 1158, 269, 1261, 1572, 519, 1858, 19846, 331, 7813, 543, 538, 476, 4350, 273, 24603, 621, 547, 519, 7027, 607, 513, 1857, 6288, 563, 10521, 5186, 21103, 1876, 985, 941, 5423, 676, 32014, 2367, 1282, 519, 4965, 543, 538, 476, 4350, 275, 519, 4639, 9335, 25798, 19235, 267, 14344, 519, 10516, 540, 6004, 5153, 2380, 267, 941, 18005, 8118, 269, 2290, 24918, 554, 583, 9112, 593, 519, 3135, 585, 1977, 1425, 545, 18779, 779, 681, 261, 305, 3788, 538, 946, 607, 513, 10689, 563, 763, 1840, 540, 513, 1085, 5034, 4677, 585, 519, 11617, 15176, 538, 476, 2735, 271, 267, 10597, 713, 6288, 607, 513, 2442, 1677, 578, 334, 4861, 320, 2961, 333, 2526, 540, 26540, 28379, 563, 19613, 281, 476, 15782, 4639, 9335, 267, 1677, 578, 334, 4861, 320, 4975, 454, 763, 5748, 6149, 540, 713, 2679, 729, 9788, 593, 476, 2918, 5988, 476, 6245, 280, 676, 5246, 29989, 7917, 14480, 928, 269, 634, 4056, 267, 5261, 32095, 2102, 267, 543, 1010, 7015, 7917, 4465, 519, 4579, 585, 14335, 519, 2679, 693, 513, 3902, 540, 11278, 13975, 271, 269, 634, 1374, 267, 4330, 607, 2048, 534, 15022, 3512, 547, 519, 6189, 540, 519, 4884, 685, 729, 547, 13918, 11623, 585, 2185, 4168, 29564, 543, 2185, 13460, 269, 898, 729, 519, 1152, 2679, 593, 519, 3135, 2394, 476, 4572, 271, 543, 2838, 18203, 1739, 3595, 3441, 547, 519, 5045, 29891, 7944, 538, 476, 4489, 280, 563, 763, 15335, 543, 13460, 941, 25552, 543, 8118, 593, 476, 272, 5239, 476, 6245, 280, 676, 5246, 29989, 14480, 928, 267, 19443, 676, 12429, 9324, 529, 18539, 1506, 269, 7981, 14884, 10443, 689, 26352, 10290, 543, 824, 18013, 585, 519, 8317, 269, 589, 1184, 542, 1519, 10453, 540, 519, 590, 3563, 540, 8585, 1097, 543, 2818, 540, 519, 670, 756, 1716, 1014, 5980, 22415, 1117, 689, 25288, 1597, 9335, 547, 519, 1153, 267, 30870, 676, 513, 1804, 15624, 563, 291, 793, 527, 2456, 1459, 3769, 5261, 8361, 717, 3336, 267, 3627, 674, 690, 691, 344, 631, 11482, 6993, 1421, 3220, 543, 11427, 589, 2940, 553, 5062, 10673, 24274, 267, 20577, 689, 824, 13102, 543, 19656, 808, 13034, 269, 15049, 2917, 267, 519, 1101, 25867, 540, 853, 6307, 779, 269, 769, 1010, 2232, 267, 519, 5246, 29989, 7074, 519, 1489, 2016, 676, 1082, 1875, 4211, 987, 21095, 1519, 1312, 519, 4056, 543, 28079, 543, 6004, 654, 11065, 13177, 945, 4421, 873, 519, 2244, 585, 3368, 922, 1871, 7132, 513, 21856, 540, 11278, 2004, 563, 763, 2679, 8593, 856, 540, 946, 1310, 519, 2063, 29564, 2451, 519, 2852, 267, 855, 3573, 22058, 725, 941, 17298, 538, 476, 1001, 271, 19620, 1082, 540, 519, 3312, 2934, 269, 4653, 621, 568, 519, 1292, 7245, 2679, 540, 853, 6307, 781, 5441, 267, 609, 519, 9030, 779, 5604, 543, 519, 3312, 32724, 1869, 1031, 676, 519, 1053, 563, 19613, 281, 476, 4343, 13177, 9335, 267, 1715, 26165, 454, 1805, 772, 3464, 3121, 779, 5441, 729, 3964, 538, 476, 4350, 272, 1210, 918, 20482, 559, 1177, 267, 519, 5449, 1753, 540, 11427, 5261, 670, 690, 14390, 267, 607, 513, 27756, 2777, 267, 5572, 543, 1153, 269, 634, 670, 690, 541, 2195, 941, 2038, 1178, 345, 4536, 593, 519, 11023, 1782, 667, 12495, 543, 5189, 4911, 639, 12418, 547, 519, 16323, 269, 1358, 849, 1185, 3573, 3180, 902, 7178, 540, 654, 15586, 543, 538, 519, 4119, 7752, 12848, 1858, 563, 19613, 281, 476, 278, 654, 597, 571, 9335, 267, 1715, 26165, 563, 1103, 476, 5002, 279, 267, 1975, 9445, 18484, 21989, 685, 5441, 8118, 693, 476, 278, 654, 597, 571, 9335, 538, 513, 2777, 2966, 585, 7917, 674, 2812, 327, 773, 676, 6276, 29485, 269, 901, 1153, 13604, 2968, 12876, 3128, 1889, 5441, 269, 769, 476, 4572, 273, 267, 519, 7013, 6712, 540, 519, 2777, 729, 6569, 547, 476, 1789, 7507, 9335, 543, 2663, 26948, 1975, 9445, 18484, 269, 634, 6967, 851, 568, 1572, 18718, 700, 17690, 563, 19613, 281, 7944, 540, 7507, 543, 1849, 1515, 23992, 6790, 1115, 267, 1715, 26165, 454, 5804, 476, 4489, 274, 713, 2146, 10689, 24428, 7027, 16422, 1499, 585, 519, 16011, 540, 1715, 26165, 799, 729, 11368, 883, 20523, 1677, 578, 334, 4861, 320, 538, 476, 4489, 278, 269, 1715, 26165, 779, 3982, 2199, 3961, 24283, 689, 922, 5449, 4884, 4567, 563, 26452, 3356, 12205, 723, 6462, 519, 12802, 267, 2359, 267, 5826, 543, 24909, 540, 519, 10689, 547, 2226, 922, 23812, 269, 898, 729, 1753, 547, 1715, 26165, 1473, 3233, 14332, 3149, 689, 476, 4350, 273, 547, 476, 1220, 279, 267, 729, 513, 4605, 16222, 543, 4718, 8136, 946, 538, 24918, 563, 1103, 519, 476, 3422, 271, 338, 267, 6083, 1846, 585, 519, 1677, 578, 334, 4861, 320, 2961, 333, 2526, 540, 26540, 941, 3710, 3330, 519, 10689, 563, 19613, 281, 476, 15704, 13177, 9335, 267, 1715, 26165, 454, 23192, 11262, 676, 6723, 774, 1941, 540, 594, 1186, 16049, 543, 1634, 607, 774, 1941, 779, 623, 5417, 1442, 267, 1715, 26165, 729, 23500, 607, 4884, 6266, 543, 6035, 585, 9042, 538, 476, 5908, 276, 269, 769, 476, 4489, 274, 267, 519, 4884, 540, 1715, 26165, 729, 3964, 543, 1715, 26165, 5244, 267, 12349, 676, 519, 1007, 7027, 267, 729, 18005, 8118, 538, 5181, 540, 602, 1032, 563, 9213, 621, 8075, 519, 3557, 14986, 12567, 543, 513, 1297, 540, 4108, 18189, 338, 1519, 606, 3662, 18189, 269, 14986, 595, 2714, 720, 568, 835, 540, 519, 554, 7491, 1031, 676, 519, 2136, 2276, 25501, 945, 3357, 1934, 585, 681, 261, 305, 1282, 24918, 269, 589, 1297, 540, 3140, 2592, 616, 10268, 693, 519, 7127, 547, 519, 6288, 689, 4591, 828, 2023, 9335, 563, 6124, 26165, 729, 31498, 600, 730, 609, 519, 1677, 578, 334, 4861, 320, 4975, 7027, 538, 476, 4489, 278, 563, 19613, 281, 476, 1428, 1715, 21466, 9335, 267, 1715, 26165, 563, 23192, 3957, 8776, 267, 519, 2777, 729, 3710, 1472, 476, 6942, 277, 676, 3627, 717, 13759, 585, 1677, 578, 334, 4861, 320, 1870, 2006, 543, 16588, 540, 519, 22694, 894, 7027, 267, 19291, 4591, 828, 2023, 267, 4171, 4558, 729, 593, 519, 5087, 29891, 7944, 540, 25288, 1597, 543, 20152, 6790, 1115, 269, 769, 476, 6245, 275, 267, 8776, 729, 11751, 676, 5261, 2142, 527, 945, 3957, 621, 1306, 20799, 5600, 910, 4440, 1317, 540, 1010, 1719, 538, 7504, 17040, 563, 32481, 476, 6245, 280, 267, 16452, 29485, 2966, 513, 1079, 3613, 648, 344, 10137, 609, 513, 1804, 3915, 328, 731, 4055, 3773, 547, 519, 3312, 772, 11057, 2777, 269, 20323, 519, 2777, 11542, 593, 476, 3953, 14143, 630, 1724, 688, 13776, 543, 2142, 527, 729, 519, 1101, 540, 20422, 5411, 547, 6133, 1055, 13980, 540, 519, 12406, 269, 769, 519, 2038, 476, 5002, 271, 338, 267, 24368, 17135, 7083, 595, 3559, 916, 5112, 6170, 4832, 7477, 725, 693, 1306, 20799, 5600, 563, 7628, 519, 5822, 2622, 2782, 267, 519, 2777, 729, 1031, 676, 519, 2475, 8136, 607, 10492, 685, 20453, 543, 606, 5106, 8998, 269, 2991, 519, 2112, 267, 621, 7283, 796, 31039, 543, 729, 14916, 642, 663, 531, 2213, 2394, 10736, 883, 8370, 1166, 1846, 269, 769, 476, 2735, 275, 267, 609, 519, 12406, 1631, 4389, 547, 1447, 982, 606, 23505, 630, 271, 269, 275, 688, 1070, 1306, 20799, 729, 12349, 676, 10753, 529, 10793, 2006, 945, 814, 5249, 1279, 543, 2182, 547, 11177, 713, 14222, 2777, 563, 19613, 281, 476, 31256, 8776, 9335, 267, 1715, 26165, 630, 5306, 476, 278, 8061, 517, 9335, 994, 1607, 2582, 3613, 648, 344, 16025, 15335, 593, 17824, 9693, 13210, 729, 3710, 538, 476, 5002, 275, 585, 11427, 20153, 807, 4591, 828, 2023, 267, 7385, 540, 19291, 269, 634, 2012, 568, 2219, 547, 2097, 689, 8776, 5600, 267, 513, 1533, 569, 1753, 2282, 19291, 779, 4332, 2897, 538, 8061, 517, 269, 898, 781, 3617, 602, 513, 8265, 540, 602, 2012, 8255, 7404, 563, 763, 2777, 729, 2966, 676, 20153, 807, 779, 683, 15343, 342, 267, 5261, 32095, 2102, 543, 3710, 676, 3627, 590, 1048, 5674, 693, 513, 1942, 540, 11278, 14625, 279, 18121, 26631, 277, 1040, 589, 2863, 543, 683, 15343, 342, 1705, 711, 2141, 3858, 593, 519, 1374, 543, 693, 835, 3942, 32095, 2102, 16761, 602, 2576, 3116, 1491, 936, 519, 15569, 269, 634, 9703, 2934, 540, 519, 1753, 1331, 20399, 4496, 2781, 559, 902, 563, 293, 1042, 15104, 4591, 828, 2023, 5747, 538, 476, 5002, 278, 543, 538, 476, 4489, 276, 20153, 807, 4421, 519, 2777, 543, 3710, 835, 538, 23720, 9335, 267, 1586, 2966, 676, 1200, 683, 15343, 342, 563, 1103, 476, 4572, 280, 267, 8776, 729, 11751, 676, 18536, 1715, 2006, 543, 1010, 7385, 6307, 267, 7800, 652, 8250, 540, 519, 744, 685, 289, 31151, 1920, 267, 5411, 540, 519, 4347, 4800, 4469, 712, 7085, 269, 634, 1715, 332, 753, 1185, 519, 22477, 23392, 543, 646, 729, 513, 6076, 322, 650, 528, 563, 1103, 2487, 2053, 621, 814, 1044, 519, 1753, 540, 1546, 2033, 543, 24796, 853, 1695, 10458, 945, 5189, 519, 890, 4754, 2872, 883, 24368, 563, 19613, 281, 476, 275, 2537, 8776, 9335, 267, 1715, 26165, 630, 14585, 1676, 540, 8776, 9335, 543, 11612, 326, 1231, 9335, 994, 5327, 11220, 676, 6276, 29485, 267, 713, 6264, 15335, 729, 3710, 585, 9400, 5576, 1961, 7615, 538, 476, 6642, 279, 269, 634, 3312, 4566, 543, 16551, 616, 4371, 538, 7027, 779, 10871, 3778, 7732, 563, 19913, 1961, 7615, 1185, 7307, 513, 1297, 540, 10473, 1354, 10024, 513, 11450, 609, 14731, 27068, 607, 6006, 543, 6728, 8069, 538, 21651, 9335, 630, 333, 792, 519, 8265, 799, 2221, 12217, 1010, 2012, 1040, 5590, 8385, 593, 476, 279, 14143, 630, 274, 3873, 13776, 1284, 564, 6229, 267, 3957, 1310, 5576, 1961, 7615, 779, 1753, 538, 4789, 267, 1942, 827, 11278, 20720, 271, 18121, 30420, 271, 264, 543, 519, 5411, 25855, 476, 2641, 2665, 540, 5386, 11647, 543, 3514, 14005, 689, 5507, 563, 16031, 5576, 1961, 7615, 4371, 513, 1297, 540, 7158, 609, 519, 1677, 578, 334, 4861, 320, 5695, 325, 11833, 543, 519, 1284, 564, 6229, 7435, 545, 777, 4371, 1169, 4728, 568, 3957, 538 ]

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

[ 3196, 547, 581, 22672, 19861, 1369, 519, 2575, 2872, 269, 3571, 26813, 18638, 17581, 267, 968, 305, 1712, 334, 2223, 729, 5950, 538, 476, 1001, 276, 543, 7604, 1078, 1010, 2189, 11100, 540, 15972, 20054, 267, 1313, 582, 25293, 4938, 1023, 267, 543, 11626, 2504, 269, 634, 17581, 12286, 8037, 21769, 609, 5159, 971, 607, 918, 1415, 324, 4639, 267, 634, 10432, 526, 267, 543, 3807, 514, 645, 773, 828, 267, 2417, 6173, 908, 1010, 9043, 543, 19788, 513, 9962, 5304, 563, 16729, 519, 1967, 540, 968, 305, 1712, 334, 2223, 3004, 6665, 8845, 4797, 547, 7903, 6302, 609, 1010, 8683, 558, 648, 4674, 267, 968, 289, 8674, 538, 519, 570, 1905, 7327, 21025, 9519, 1848, 1234, 548, 1078, 538, 476, 1001, 277, 267, 519, 17581, 5189, 513, 18632, 543, 811, 22161, 8826, 3280, 267, 609, 1796, 719, 13475, 899, 968, 294, 5366, 321, 7927, 892, 10023, 918, 754, 4459, 19681, 541, 543, 968, 303, 1157, 5455, 519, 25439, 892, 609, 8479, 774, 1872, 543, 2372, 822, 334, 269, 3004, 6665, 779, 2702, 547, 12840, 16900, 609, 824, 5159, 814, 9846, 4547, 4195, 5380, 547, 1010, 2575, 543, 26970, 19700, 1472, 519, 1158, 563, 9199, 6665, 8845, 779, 8177, 593, 519, 8535, 12752, 454, 9199, 6665, 8845, 779, 1764, 593, 519, 2575, 2872, 568, 26837, 4192, 269, 2060, 1010, 2189, 3280, 543, 9159, 12644, 267, 646, 814, 7307, 547, 1286, 557, 513, 2619, 585, 5128, 602, 568, 5963, 9565, 269, 8845, 779, 2702, 547, 16900, 11100, 11964, 267, 689, 12048, 31022, 547, 15972, 547, 4244, 267, 814, 14593, 519, 6302, 540, 1018, 568, 2808, 13416, 2575, 269, 3571, 3982, 2511, 543, 18515, 547, 4603, 723, 711, 1152, 12236, 1864, 2565, 1035, 8010, 855, 849, 21959, 1229, 513, 7372, 10178, 3490, 602, 21269, 2066, 1114, 5481, 543, 4529, 563, 3080, 540, 519, 1034, 1713, 7418, 3004, 6665, 8845, 814, 1500, 547, 519, 2575, 2872, 568, 1010, 2702, 547, 1711, 15138, 543, 20605, 2661, 2833, 269, 3245, 1010, 14969, 3942, 6272, 547, 1010, 17615, 12644, 267, 8845, 814, 2699, 18249, 1018, 513, 13447, 666, 581, 269, 3571, 30145, 616, 811, 982, 1175, 7574, 12644, 282, 789, 616, 2407, 1532, 31500, 4715, 8163, 602, 3560, 1010, 5304, 883, 1776, 1158, 269, 901, 5499, 1935, 814, 711, 1152, 1305, 513, 1007, 3044, 585, 2661, 2982, 855, 814, 849, 6273, 9118, 5159, 547, 1589, 3544, 519, 4216, 543, 21592, 741, 1378, 12644, 269, 3004, 6665, 8845, 779, 1764, 593, 519, 2575, 2872, 666, 581, 5433, 711, 1152, 998, 1010, 14262, 2575, 855, 849, 998, 1010, 2702, 547, 7903, 6302, 543, 1711, 13710, 2833, 585, 1010, 11655, 563, 9199, 6665, 8845, 779, 24573, 584, 658, 20764, 999, 454, 9199, 6665, 8845, 779, 29426, 26136, 723, 5129, 513, 1713, 1909, 538, 1010, 2949, 1967, 543, 21239, 269, 15332, 1010, 18517, 538, 519, 2575, 2872, 267, 646, 814, 8810, 5128, 547, 581, 513, 5260, 11803, 1870, 2006, 269, 2290, 540, 1010, 8037, 26136, 2882, 1010, 11450, 609, 715, 833, 267, 16089, 3908, 24737, 819, 14229, 5474, 602, 723, 6591, 7839, 8560, 543, 3361, 513, 535, 1066, 5414, 1851, 14229, 6033, 21650, 269, 2060, 1010, 16994, 3750, 585, 1374, 543, 1620, 540, 1699, 3466, 267, 8845, 814, 6707, 3854, 1242, 593, 519, 1630, 4040, 14229, 6033, 2344, 267, 9160, 532, 5128, 607, 513, 3196, 547, 581, 22672, 19861, 609, 538, 519, 6752, 1158, 563, 1103, 1840, 547, 1010, 5698, 609, 715, 833, 267, 3004, 6665, 8845, 814, 849, 5887, 3293, 883, 519, 20892, 2872, 269, 3571, 11450, 609, 519, 2442, 4568, 6216, 595, 716, 328, 814, 8507, 538, 519, 5137, 540, 513, 3811, 1899, 540, 989, 1511, 838, 27419, 521, 3881, 345, 619, 269, 26157, 1010, 2648, 585, 2575, 543, 20835, 267, 8845, 814, 7307, 547, 1711, 513, 20892, 6216, 602, 24889, 609, 1010, 5304, 543, 814, 3533, 6591, 513, 10121, 1739, 269, 2060, 1010, 2702, 547, 7148, 883, 1114, 6990, 543, 1711, 2472, 602, 8597, 547, 1010, 10178, 19668, 267, 621, 779, 2312, 602, 8845, 779, 29426, 26136, 616, 513, 15266, 547, 1010, 17545, 543, 1870, 1035, 18210, 563, 9199, 6665, 8845, 779, 5845, 20395, 545, 27557, 454, 9199, 6665, 8845, 814, 1044, 4922, 6444, 585, 1010, 24960, 545, 3646, 267, 607, 646, 1193, 1161, 547, 1118, 513, 2318, 1764, 593, 1585, 2950, 543, 3123, 269, 2290, 8037, 11036, 8845, 814, 1044, 3238, 538, 568, 1010, 11450, 609, 519, 1875, 17416, 3919, 267, 634, 595, 716, 639, 10793, 7690, 269, 3414, 713, 5748, 267, 646, 6663, 547, 1683, 1489, 543, 3255, 585, 1762, 1004, 538, 9207, 5703, 2950, 267, 609, 513, 1445, 593, 2069, 543, 3860, 6575, 269, 8845, 814, 1044, 8362, 3238, 538, 12180, 543, 7616, 14172, 3292, 267, 2575, 11925, 267, 543, 824, 3872, 3292, 267, 17935, 547, 7668, 519, 1985, 5108, 543, 6536, 741, 7499, 15421, 563, 1103, 1840, 547, 1010, 960, 609, 634, 595, 716, 639, 10793, 7690, 267, 8845, 814, 849, 7152, 1010, 7029, 547, 1514, 3123, 998, 1585, 26988, 23190, 269, 1261, 814, 1044, 513, 2178, 12167, 585, 1514, 5126, 543, 7292, 7862, 267, 1210, 1010, 3760, 547, 6318, 4656, 543, 1489, 3906, 8165, 585, 891, 3123, 269, 769, 3210, 547, 519, 13044, 268, 866, 6855, 267, 8845, 22283, 909, 547, 1489, 1346, 538, 991, 267, 7700, 7482, 547, 1683, 1426, 267, 2564, 7727, 267, 543, 824, 2200, 547, 4299, 2950, 269, 3414, 1010, 24960, 545, 3646, 267, 3004, 6665, 8845, 5170, 547, 1118, 513, 6209, 3017, 538, 519, 2729, 540, 2043, 543, 2950, 267, 1210, 1010, 1967, 547, 10575, 3424, 543, 8300, 1866, 563, 9199, 6665, 8845, 779, 21478, 593, 22960, 543, 7377, 9177, 454, 9199, 6665, 8845, 779, 1764, 593, 6752, 543, 1402, 2528, 3112, 581, 936, 26061, 269, 2060, 1010, 2189, 2631, 540, 2511, 543, 1166, 1515, 267, 646, 814, 1831, 513, 3020, 3466, 21392, 538, 519, 2872, 269, 3245, 1010, 11599, 8265, 18875, 5654, 547, 1285, 656, 3766, 31938, 2196, 3118, 21769, 267, 8845, 814, 24672, 24673, 519, 10600, 540, 2575, 543, 6752, 563, 3080, 540, 519, 1883, 2188, 538, 8845, 779, 3310, 593, 6752, 568, 1010, 2702, 547, 7903, 6302, 269, 1261, 568, 1634, 585, 1010, 29412, 543, 8097, 6752, 5079, 267, 1419, 4101, 6848, 8155, 543, 2757, 6752, 4441, 269, 6787, 621, 779, 4224, 532, 16136, 1242, 13544, 1115, 267, 9849, 23349, 3270, 267, 610, 9256, 6397, 4778, 543, 18282, 267, 8845, 814, 1831, 24190, 609, 8840, 519, 9044, 543, 28196, 1456, 1018, 621, 1797, 547, 581, 31042, 269, 901, 4250, 16531, 538, 1010, 6752, 18129, 814, 12236, 1864, 2463, 689, 1312, 2872, 1202, 11107, 543, 11655, 7567, 267, 4396, 4328, 1010, 2990, 607, 513, 6752, 12835, 563, 9199, 6665, 8845, 779, 9608, 5020, 543, 17716, 454, 9199, 6665, 8845, 267, 1634, 585, 1010, 28430, 1268, 320, 543, 7499, 23258, 267, 814, 7307, 547, 1832, 1010, 2123, 1272, 5266, 4357, 9624, 519, 30425, 540, 1010, 1630, 4040, 4876, 269, 1717, 267, 621, 568, 4922, 1634, 602, 519, 20279, 23899, 986, 3899, 543, 5152, 23116, 814, 1044, 6535, 656, 1227, 5532, 547, 4641, 7641, 5182, 267, 918, 2643, 773, 23514, 1676, 269, 634, 6292, 3459, 6580, 538, 476, 1001, 278, 543, 741, 2078, 3533, 2968, 513, 1888, 540, 10373, 1857, 1719, 269, 8625, 267, 789, 2671, 513, 8250, 3957, 23566, 328, 28732, 267, 4535, 538, 5988, 476, 1001, 279, 269, 2755, 519, 7008, 779, 2078, 814, 4810, 922, 4023, 2671, 540, 22705, 543, 17498, 267, 789, 723, 9846, 15091, 741, 7029, 547, 1071, 1790, 1861, 532, 741, 8250, 543, 4509, 513, 2318, 6422, 563, 1103, 1840, 547, 1010, 2078, 609, 23514, 1676, 267, 3004, 6665, 8845, 814, 1044, 1634, 547, 1832, 513, 2673, 5858, 540, 2828, 543, 3523, 2209, 538, 519, 2575, 2872, 269, 3683, 519, 1296, 267, 646, 814, 2919, 2178, 17052, 609, 8284, 5159, 971, 607, 918, 1415, 324, 4639, 543, 17718, 595, 644, 328, 267, 3056, 547, 3875, 3811, 21769, 269, 1635, 5807, 891, 4296, 267, 3004, 6665, 8845, 814, 711, 1152, 9450, 1010, 7574, 20030, 855, 849, 22541, 1010, 3310, 543, 4527, 1369, 519, 2872, 269, 6736, 519, 1419, 26093, 2470, 540, 21239, 267, 621, 4667, 602, 3004, 6665, 8845, 814, 7307, 547, 10880, 513, 10347, 3666, 1063, 1010, 2123, 3347, 543, 1010, 14762, 4876, 563, 9199, 6665, 8845, 779, 8892, 18768, 543, 7736, 324, 822, 832, 454, 9199, 6665, 8845, 568, 711, 835, 547, 1964, 593, 1010, 31444, 3149, 269, 2060, 513, 5569, 540, 3811, 3785, 896, 1010, 12966, 267, 646, 5170, 547, 7903, 519, 6302, 540, 1010, 5876, 543, 2263, 1007, 18817, 538, 1010, 2104, 18129, 269, 19612, 585, 1010, 5499, 1935, 547, 2575, 267, 621, 2501, 607, 1100, 9983, 602, 646, 814, 2907, 20726, 539, 693, 1896, 3078, 3785, 593, 519, 16880, 563, 5575, 543, 19466, 267, 11655, 666, 2503, 811, 14262, 2575, 689, 3004, 6665, 8845, 269, 19612, 585, 1010, 2189, 11100, 540, 12048, 31022, 267, 15972, 267, 543, 20369, 32676, 545, 4992, 267, 646, 814, 1831, 513, 13009, 4565, 1794, 518, 538, 519, 2872, 269, 2060, 1142, 5305, 267, 646, 9846, 12651, 519, 3046, 267, 543, 1010, 2104, 3785, 616, 2693, 547, 581, 1100, 9868, 269, 6787, 621, 779, 23712, 609, 824, 16805, 5159, 610, 19234, 609, 1114, 11964, 267, 972, 779, 1100, 8969, 602, 3004, 6665, 8845, 786, 3136, 547, 4161, 519, 4567, 28943, 543, 5838, 2575, 602, 24889, 609, 9458, 5001, 269, 3958, 267, 646, 814, 6829, 606, 1719, 538, 3695, 824, 3860, 23447, 267, 971, 607, 4670, 14708, 543, 6752, 269, 3245, 28068, 2575, 7044, 547, 23712, 609, 1164, 15134, 6752, 12478, 267, 621, 779, 2312, 602, 3004, 6665, 8845, 779, 7499, 5075, 6487, 1100, 23451, 269, 1306, 646, 21040, 1010, 27132, 267, 11655, 666, 18783, 7487, 1010, 2189, 2511, 543, 5499, 2093, 8915, 538, 891, 3078, 1007, 3785, 563, 1432, 568, 3004, 6665, 8845, 779, 2038, 1272, 543, 4282, 888, 9199, 6665, 8845, 729, 4535, 593, 4989, 476, 1789, 267, 476, 1960, 273, 267, 538, 20279, 267, 7147, 269, 3571, 1483, 2012, 568, 10496, 13196, 645, 1069, 517, 28732, 4083, 269, 1261, 8057, 909, 538, 513, 1647, 11665, 1920, 543, 2919, 513, 6612, 585, 2575, 689, 513, 1762, 2085, 563, 1692, 1705, 3004, 6665, 8845, 779, 7574, 3460, 2253, 543, 1018, 729, 1010, 14634, 4090, 888, 9199, 6665, 8845, 779, 7574, 3460, 3459, 538, 1164, 1153, 950, 646, 3323, 1818, 20054, 543, 6721, 1010, 1378, 2575, 269, 1261, 6591, 6284, 538, 519, 2872, 1310, 646, 5950, 1010, 26813, 7107, 1901, 267, 968, 302, 342, 331, 31279, 2223, 538, 476, 1001, 274, 269, 1717, 267, 1010, 14634, 4090, 3357, 609, 519, 5305, 540, 1010, 2034, 7107, 1901, 267, 968, 291, 904, 6969, 681, 1712, 334, 2223, 538, 476, 1001, 275, 563, 1692, 814, 3004, 6665, 8845, 779, 4876, 24111, 936, 519, 1296, 888, 9199, 6665, 8845, 779, 4876, 814, 2938, 513, 11931, 4473, 936, 519, 1296, 269, 3571, 26813, 18638, 17581, 267, 968, 305, 1712, 334, 2223, 5950, 538, 476, 1001, 276, 267, 4607, 2565, 1035, 8010, 543, 5010, 1967, 269, 1261, 4797, 547, 2744, 8560, 609, 7766, 11549, 4548, 899, 968, 289, 8674, 538, 519, 570, 1905, 7327, 21025, 9519, 892, 630, 1001, 277, 264, 543, 968, 22349, 992, 5454, 892, 630, 1001, 279, 1070, 799, 4396, 1881, 1010, 4567, 607, 835, 540, 519, 7887, 4408, 538, 12048, 31022, 563, 4692, 596, 1592, 930, 540, 3004, 6665, 8845, 779, 8037, 21769, 543, 1167, 2762, 888, 9199, 6665, 8845, 814, 32524, 609, 1896, 12021, 5159, 267, 1519, 19537, 651, 267, 918, 1415, 324, 4639, 267, 634, 10432, 526, 267, 543, 918, 754, 4459, 19681, 541, 269, 2368, 540, 1010, 8037, 8964, 1331, 968, 306, 27912, 302, 26827, 292, 2223, 968, 294, 5366, 321, 7927, 2223, 543, 968, 295, 26996, 12239, 5442, 5990, 21614, 6865, 1848, 3571, 1167, 2762, 2882, 1614, 18638, 11549, 4548, 543, 1896, 7107, 16747, 543, 661, 11679, 563, 1692, 814, 3004, 6665, 8845, 12936, 519, 2575, 2872, 888, 9199, 6665, 8845, 814, 1185, 513, 1713, 1764, 593, 519, 2575, 2872, 269, 3571, 2189, 11100, 540, 22850, 267, 15972, 267, 543, 4244, 4992, 814, 14593, 6302, 543, 6766, 513, 1007, 5108, 540, 5159, 269, 1261, 568, 1634, 585, 1010, 17615, 12644, 543, 5499, 2504, 2511, 267, 799, 723, 5280, 3337, 519, 1699, 5251, 540, 12048, 31022, 563, 1432, 29426, 26136, 814, 3004, 6665, 8845, 22002, 888, 9199, 6665, 8845, 814, 5887, 3293, 883, 1585, 29426, 18129, 269, 1261, 814, 32524, 609, 12478, 899, 715, 833, 543, 31780, 779, 547, 5305, 3908 ]

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

[ 26553, 1968, 6981, 563, 9172, 26833, 593, 7325, 476, 1015, 267, 476, 1001, 273, 454, 3445, 267, 1822, 772, 2529, 269, 7189, 538, 476, 15704, 32258, 616, 1934, 547, 2626, 707, 2055, 610, 2709, 596, 5796, 267, 1095, 18587, 267, 543, 811, 269, 5192, 948, 1631, 912, 10144, 849, 22646, 585, 912, 21010, 676, 1257, 610, 3381, 609, 513, 772, 2529, 269, 4604, 2275, 1068, 1881, 4387, 1631, 2443, 7227, 942, 568, 1447, 982, 476, 272, 8792, 256, 0, 763, 946, 540, 4244, 1648, 568, 2810, 609, 519, 4145, 827, 2518, 8337, 543, 519, 546, 13388, 1782, 14425, 540, 8093, 10173, 269, 21954, 19342, 543, 7250, 616, 9621, 4244, 10173, 267, 543, 2599, 1382, 814, 11567, 519, 946, 540, 7686, 19342, 270, 5139, 4088, 23399, 269, 1717, 267, 1100, 1353, 814, 8947, 519, 3114, 737, 27282, 540, 7686, 19342, 543, 7250, 23399, 269, 901, 1353, 11567, 519, 2360, 540, 7250, 593, 519, 27307, 8488, 540, 513, 18861, 855, 8457, 622, 14672, 13463, 696, 2033, 7848, 269, 1323, 4603, 729, 5342, 1210, 513, 4028, 13496, 3684, 630, 13612, 300, 264, 693, 476, 1428, 3046, 1247, 8795, 519, 2837, 630, 278, 1626, 1700, 5952, 279, 918, 264, 543, 7250, 6824, 538, 519, 4492, 7848, 630, 271, 267, 476, 1839, 267, 476, 2004, 267, 543, 476, 4037, 15992, 543, 513, 10230, 2079, 729, 5340, 1210, 595, 4047, 300, 298, 2562, 6261, 4629, 3301, 547, 1174, 875, 519, 13674, 1184, 2242, 269, 634, 8097, 543, 10230, 9382, 4951, 602, 267, 609, 7250, 1840, 267, 519, 27307, 8488, 2799, 563, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 24997, 6052, 267, 20885, 543, 519, 5113, 454, 268, 23556, 5303, 454, 268, 9473, 10234, 17460, 8212, 454, 268, 6052, 7177, 543, 5295, 5303, 0, 2690, 519, 2250, 1906, 5756, 267, 519, 1158, 814, 27636, 6385, 267, 538, 1880, 267, 538, 1072, 10618, 269, 5047, 267, 621, 2919, 689, 1373, 513, 835, 8820, 2460, 540, 1857, 3028, 24969, 906, 547, 606, 3606, 1950, 3818, 8820, 1935, 269, 25613, 16040, 267, 898, 6212, 593, 2442, 2994, 799, 616, 8246, 676, 5010, 1242, 2344, 619, 2442, 569, 1634, 607, 968, 12892, 16373, 1848, 898, 568, 513, 1826, 540, 6725, 2966, 711, 547, 4481, 948, 513, 6216, 855, 547, 5352, 1514, 610, 24040, 1689, 269, 1924, 267, 621, 12651, 519, 4656, 540, 513, 1966, 1210, 2757, 6725, 2553, 563, 12234, 267, 713, 7082, 1445, 3322, 519, 1353, 543, 3586, 15260, 20156, 540, 1142, 543, 1169, 2460, 540, 519, 1514, 6725, 10872, 269, 1924, 267, 4324, 1154, 519, 1857, 568, 2141, 519, 8998, 540, 3007, 269, 27009, 267, 1514, 13033, 5867, 971, 607, 17749, 267, 9365, 267, 12108, 543, 29243, 7343, 267, 723, 1831, 519, 1292, 2707, 540, 1344, 269, 1677, 9959, 267, 1514, 13033, 814, 1044, 606, 1271, 851, 540, 519, 6725, 543, 2792, 2994, 540, 1082, 1072, 13282, 3906, 269, 898, 568, 513, 3501, 1611, 547, 1832, 2043, 267, 2950, 543, 3782, 14540, 5532, 1256, 1498, 9308, 9674, 563, 1103, 2110, 267, 4317, 6725, 568, 519, 1655, 1259, 547, 3262, 1344, 269, 17957, 267, 952, 621, 779, 5046, 268, 866, 3377, 689, 1808, 2829, 610, 3084, 3377, 610, 1344, 593, 5061, 922, 2126, 3092, 1421, 1514, 5121, 1491, 519, 5048, 1141, 621, 779, 2469, 547, 991, 547, 269, 3502, 1152, 616, 649, 1565, 519, 5767, 3377, 25887, 609, 519, 5748, 540, 1514, 13033, 4609, 538, 519, 476, 2641, 560, 2540, 267, 538, 1840, 267, 855, 649, 616, 849, 1210, 4609, 971, 607, 9365, 543, 12108, 547, 1683, 2123, 543, 1870, 10311, 269, 4317, 2923, 849, 1534, 919, 721, 827, 519, 4791, 19183, 540, 1082, 3676, 267, 538, 2490, 267, 9494, 1082, 2729, 563, 12892, 6725, 6411, 607, 513, 2707, 540, 1344, 538, 519, 3782, 2872, 269, 5047, 267, 621, 2488, 1344, 547, 519, 2550, 543, 741, 13222, 3823, 519, 4093, 540, 2068, 269, 3509, 3782, 3906, 7048, 2390, 1514, 2923, 607, 513, 851, 540, 6725, 741, 2533, 269, 1703, 616, 1082, 5383, 538, 519, 3782, 5823, 1813, 547, 1514, 6725, 799, 616, 607, 5205, 912, 268, 3447, 622, 519, 2550, 1732, 607, 789, 616, 1072, 1416, 6800, 454, 268, 13722, 532, 7496, 547, 1569, 2228, 1072, 2533, 543, 1344, 454, 268, 14904, 1491, 513, 811, 3238, 851, 538, 741, 1378, 1072, 3664, 454, 268, 20661, 1131, 7654, 2671, 741, 1072, 1344, 543, 2833, 998, 519, 946, 540, 1514, 5121, 454, 268, 20226, 3494, 621, 4679, 519, 3461, 779, 2298, 540, 1416, 454, 268, 634, 1072, 13282, 1062, 568, 811, 1930, 538, 2474, 540, 4093, 267, 3790, 543, 4324, 454, 268, 20523, 3972, 2164, 689, 3811, 3461, 4491, 3187, 3347, 454, 268, 4317, 6725, 8992, 1665, 7071, 543, 31449, 585, 3919, 543, 22464, 454, 268, 634, 942, 543, 7934, 1063, 7189, 543, 2550, 896, 10072, 568, 16756, 532, 454, 20062, 2969, 4959, 14298, 18426, 27107, 17395, 16249, 888, 297, 612, 3821, 21373, 3989, 1514, 6725, 607, 513, 1505, 540, 6725, 799, 568, 2966, 547, 1711, 513, 1514, 1689, 855, 711, 547, 2047, 4324, 513, 6216, 269, 4635, 519, 2553, 540, 2757, 6725, 267, 621, 12651, 519, 4656, 540, 513, 2016, 1966, 610, 513, 2014, 267, 543, 621, 6663, 547, 18609, 519, 5561, 547, 1689, 741, 19326, 269, 13298, 982, 9513, 513, 1587, 267, 1514, 6725, 23619, 513, 7180, 799, 2640, 519, 2486, 547, 1711, 519, 5551, 1689, 269, 4438, 519, 476, 3192, 271, 338, 267, 17722, 918, 582, 2401, 543, 717, 14283, 2098, 5306, 2006, 7691, 602, 519, 6725, 3741, 1031, 547, 6133, 2472, 1223, 581, 1031, 547, 968, 8688, 892, 2093, 267, 543, 19326, 269, 4317, 6725, 568, 3989, 676, 918, 582, 2401, 543, 27055, 553, 523, 607, 513, 1114, 1106, 540, 6725, 689, 824, 6725, 2127, 1152, 538, 2474, 540, 519, 2344, 518, 779, 543, 1010, 610, 1200, 3919, 779, 6859, 563, 25321, 4753, 303, 4811, 5442, 14298, 18426, 27107, 17395, 16249, 5990, 12088, 454, 763, 1523, 540, 1514, 6725, 568, 513, 2527, 3069, 540, 2792, 5009, 3407, 1344, 543, 7608, 19326, 269, 1280, 5009, 2792, 543, 585, 519, 4324, 540, 519, 2486, 267, 621, 26779, 6725, 3741, 267, 2645, 1299, 2553, 269, 20553, 519, 1739, 2010, 267, 649, 19665, 1514, 6725, 912, 268, 7358, 1049, 4317, 16373, 454, 268, 21864, 4317, 16373, 454, 23330, 1049, 4317, 16373, 454, 2414, 5352, 519, 24040, 1689, 649, 1374, 7358, 1049, 1514, 6725, 269, 898, 12651, 4656, 585, 513, 1966, 1210, 2757, 6725, 2553, 543, 6212, 547, 22321, 606, 5304, 547, 1689, 741, 7180, 563, 25618, 545, 4317, 16373, 454, 2414, 6427, 1007, 2994, 585, 1646, 649, 1374, 21864, 1514, 6725, 269, 898, 4679, 519, 4656, 540, 513, 1966, 1210, 2757, 6725, 2553, 543, 6212, 547, 22321, 519, 5304, 547, 1689, 741, 7180, 563, 23490, 2177, 19006, 5508, 14298, 18426, 27107, 17395, 16249, 454, 12892, 6725, 3322, 1382, 543, 15260, 20156, 540, 1169, 3693, 540, 519, 10872, 269, 5484, 1030, 9231, 519, 1857, 568, 2141, 519, 8998, 540, 3007, 269, 4706, 3069, 568, 513, 5943, 602, 2337, 547, 1544, 267, 1374, 543, 6218, 11044, 676, 4687, 1344, 607, 547, 922, 1292, 6662, 269, 5502, 540, 3972, 532, 1857, 3028, 24969, 906, 267, 607, 538, 519, 2250, 267, 621, 3096, 5876, 547, 2285, 856, 1344, 269, 1284, 5965, 6176, 543, 15814, 621, 607, 829, 513, 1544, 547, 1450, 4687, 543, 6364, 269, 1703, 616, 2185, 2101, 3334, 540, 1514, 6725, 269, 1284, 946, 621, 607, 1514, 6725, 2553, 799, 616, 912, 763, 8605, 538, 1514, 6725, 3884, 1406, 513, 2168, 2709, 269, 1703, 568, 513, 27795, 540, 2472, 267, 8151, 689, 15889, 267, 2168, 2472, 899, 7873, 1682, 267, 547, 2533, 899, 2564, 18362, 267, 2853, 971, 607, 20418, 267, 10758, 307, 610, 513, 2295, 268, 11794, 2732, 543, 6368, 811, 30608, 2093, 971, 607, 2825, 4027, 269, 634, 3804, 6913, 676, 1514, 6725, 568, 519, 1646, 540, 4264, 2472, 799, 2640, 2486, 269, 1677, 723, 513, 9758, 1587, 267, 519, 7606, 1590, 2491, 602, 789, 2731, 616, 538, 1966, 543, 5356, 519, 1587, 547, 873, 568, 513, 1434, 3070, 269, 634, 1909, 540, 519, 1353, 1934, 568, 547, 3605, 519, 11994, 540, 1004, 827, 519, 1966, 543, 922, 1587, 543, 547, 1174, 922, 2956, 563, 1103, 1514, 6725, 267, 12313, 568, 1018, 519, 6075, 786, 2628, 585, 8391, 519, 5356, 269, 31245, 1223, 581, 13075, 610, 1875, 15065, 8767, 269, 634, 3933, 8767, 3902, 568, 519, 9513, 2179, 540, 519, 20161, 602, 2640, 519, 2146, 269, 634, 6348, 15065, 8767, 5777, 616, 519, 1514, 3790, 543, 5626, 3790, 971, 607, 4657, 4356, 269, 1403, 519, 3902, 568, 1970, 267, 1287, 519, 1198, 786, 581, 4514, 563, 1607, 11225, 6073, 3842, 799, 519, 1587, 568, 3177, 547, 519, 6075, 543, 568, 849, 1141, 835, 666, 1265, 519, 2551, 269, 898, 568, 519, 3148, 1141, 1514, 6725, 786, 581, 1034, 11327, 269, 898, 568, 519, 3135, 540, 3892, 540, 1587, 267, 1141, 519, 2242, 616, 7608, 269, 1403, 519, 1747, 568, 3362, 2139, 267, 519, 5859, 568, 3811, 269, 1280, 513, 15889, 1587, 267, 713, 4016, 547, 519, 6765, 1505, 267, 1519, 519, 23999, 267, 642, 753, 267, 5234, 267, 8637, 1141, 621, 779, 4421, 610, 6753, 1141, 621, 779, 9447, 1863, 540, 5279, 269, 1280, 606, 30608, 1587, 267, 519, 1747, 568, 711, 1134, 4330, 855, 4016, 547, 3664, 827, 519, 5121, 1141, 5561, 616, 6603, 676, 1344, 6765, 563, 1103, 1514, 6725, 267, 8871, 10056, 568, 513, 1259, 1344, 568, 1500, 2139, 269, 3509, 540, 519, 2553, 616, 1031, 269, 31055, 267, 519, 946, 540, 12125, 543, 32026, 2059, 609, 1857, 1894, 267, 9913, 543, 2923, 14223, 616, 1031, 607, 513, 1797, 540, 519, 13319, 540, 519, 2533, 3177, 676, 4317, 16373, 269, 1280, 5009, 621, 538, 513, 1732, 1611, 3340, 5876, 269, 9603, 547, 922, 23146, 267, 8871, 10056, 568, 3006, 4636, 569, 10924, 547, 13822, 1514, 6725, 563, 2005, 2882, 513, 9836, 6165, 540, 22099, 267, 2923, 25211, 532, 267, 6455, 267, 543, 1797, 540, 3560, 585, 9913, 269, 634, 3007, 568, 593, 10451, 543, 5885, 1587, 3747, 269, 5398, 3028, 24969, 906, 610, 22099, 616, 2476, 855, 824, 2409, 616, 2139, 971, 607, 513, 19420, 517, 267, 2923, 2680, 543, 9375, 10118, 616, 1031, 799, 2337, 538, 519, 4656, 540, 519, 5304, 585, 519, 13539, 779, 1514, 6725, 5859, 563, 24719, 32212, 8656, 281, 589, 27107, 17395, 16249, 12813, 2969, 19489, 300, 454, 12892, 13033, 568, 2966, 547, 1450, 1004, 519, 4316, 547, 3362, 2744, 1344, 543, 5968, 269, 6270, 2200, 616, 1031, 676, 3782, 7426, 547, 5385, 1344, 609, 5561, 538, 1896, 2081, 267, 971, 607, 4687, 1344, 593, 10074, 543, 5796, 585, 4411, 6604, 269, 19457, 5359, 827, 3676, 568, 606, 1271, 1259, 585, 2550, 547, 1205, 6325, 1344, 689, 3782, 6703, 269, 16195, 16984, 946, 1514, 2923, 547, 2744, 5813, 883, 519, 3292, 789, 5838, 543, 2949, 6075, 9547, 676, 7836, 942, 12570, 741, 30347, 269, 1677, 2445, 3403, 543, 3986, 4398, 267, 1514, 2923, 786, 1683, 7189, 609, 1367, 6114, 547, 948, 873, 1174, 6547, 547, 5061, 543, 2949, 3461, 1239, 269, 1635, 713, 267, 11884, 2139, 1344, 593, 1514, 13033, 4609, 2337, 3782, 7426, 547, 1451, 689, 519, 3461, 779, 6114, 543, 547, 3082, 9935, 269, 16195, 9439, 798, 723, 519, 2702, 547, 2708, 519, 10171, 540, 1007, 3292, 538, 519, 5823, 676, 1739, 8039, 593, 1346, 3817, 563, 3383, 267, 538, 2053, 540, 6433, 267, 1514, 13033, 4609, 6165, 1185, 2799, 585, 3246, 6800, 609, 3877, 269, 9869, 8558, 949, 1683, 1483, 6066, 1344, 827, 8244, 267, 4791, 4567, 543, 6595, 4055, 1569, 676, 621, 269, 11109, 513, 1514, 2923, 4527, 2337, 3782, 4600, 2170, 609, 519, 1344, 3177, 676, 14540, 899, 519, 4414, 9061, 543, 519, 2578, 637, 585, 8376, 6513, 269, 4317, 9012, 6411, 607, 513, 6725, 3760, 538, 519, 1739, 2081, 912, 268, 6176, 593, 15302, 267, 922, 4791, 19183, 267, 2359, 543, 2126, 1223, 581, 3177, 593, 7270, 454, 268, 1452, 7270, 1223, 581, 15469, 676, 4317, 32730, 4609, 971, 607, 9365, 267, 17749, 1299, 12108, 454, 268, 6271, 1505, 568, 676, 2870, 606, 4656, 3381, 543, 14202, 532, 593, 13334, 799, 666, 581, 9763, 676, 1082, 1004, 454, 268, 26121, 2228, 589, 1091, 267, 20497, 338, 267, 24762, 267, 12267, 267, 27678, 3092, 269, 666, 581, 2944, 585, 519, 6725, 540, 3782, 4441, 676, 4317, 9012, 454, 300, 2752, 17395, 16249, 631, 21197, 31031, 2969, 9680, 312, 454, 2171, 1020, 634 ]

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

[ 0, 3528, 7137, 2151, 670, 3326, 6118, 267, 31408, 808, 269, 595, 826, 11663, 267, 19468, 29029, 700, 1276, 514, 267, 25288, 631, 269, 8865, 344, 267, 27692, 631, 269, 15917, 2131, 267, 3627, 589, 269, 25020, 267, 12253, 29485, 267, 23011, 4303, 267, 8349, 661, 269, 26864, 800, 267, 23819, 523, 670, 990, 572, 17839, 454, 1607, 1062, 5640, 1616, 282, 519, 17122, 1448, 19174, 6999, 256, 3794, 523, 1723, 324, 10789, 476, 272, 568, 513, 1883, 3498, 538, 938, 19794, 13988, 1164, 25217, 12980, 5311, 3710, 547, 5351, 782, 5640, 538, 1140, 8724, 513, 3152, 16734, 540, 12980, 543, 3986, 741, 12980, 31213, 593, 2221, 779, 1164, 3613, 1389, 11400, 563, 5649, 6732, 610, 8281, 10789, 476, 272, 267, 9906, 9990, 7300, 454, 16032, 7223, 1299, 29890, 2835, 454, 1607, 4528, 10063, 806, 519, 476, 273, 323, 22621, 8228, 540, 519, 476, 274, 6113, 8390, 540, 519, 1631, 21305, 4967, 676, 1797, 540, 7905, 5395, 516, 267, 17890, 7318, 607, 835, 540, 1082, 3339, 2606, 5931, 593, 8378, 7223, 269, 28582, 2590, 585, 3140, 2250, 18765, 547, 25816, 321, 13403, 781, 834, 8333, 32477, 10789, 257, 630, 12626, 8390, 22219, 13305, 518, 25419, 476, 2735, 279, 1070, 519, 8313, 1445, 4513, 693, 519, 3875, 6482, 6436, 543, 5376, 916, 593, 15273, 527, 2364, 885, 540, 28963, 609, 519, 14295, 534, 7232, 559, 28086, 1187, 2758, 8776, 1317, 519, 9030, 2219, 563, 3725, 268, 21551, 13408, 1804, 26941, 540, 519, 12308, 593, 13113, 6887, 543, 8895, 12251, 2219, 269, 1715, 7965, 3063, 782, 998, 563, 26397, 3842, 31473, 267, 23778, 454, 268, 12833, 926, 656, 4427, 4944, 2167, 540, 4223, 4631, 609, 10241, 630, 12218, 923, 538, 11930, 9119, 994, 268, 25043, 540, 21602, 543, 23580, 7869, 630, 31580, 267, 20603, 267, 543, 10241, 994, 268, 1323, 22362, 540, 519, 8895, 12251, 7869, 540, 23108, 1492, 526, 773, 1188, 630, 300, 655, 7546, 338, 540, 519, 1977, 19556, 5980, 994, 268, 681, 902, 540, 2372, 582, 1801, 281, 1323, 4985, 547, 10613, 540, 23580, 7869, 630, 294, 745, 526, 548, 327, 1066, 3541, 3862, 4593, 1156, 654, 1170, 839, 577, 2378, 1084, 994, 15761, 571, 2200, 585, 10789, 476, 272, 267, 9906, 9990, 454, 9515, 3217, 513, 7552, 543, 11479, 606, 3328, 540, 544, 5195, 1142, 1554, 585, 1079, 4374, 269, 3503, 606, 4082, 602, 4564, 519, 13304, 720, 593, 590, 926, 779, 5212, 10309, 1310, 1200, 7552, 269, 630, 8893, 476, 272, 268, 272, 264, 3503, 513, 11913, 4082, 585, 1142, 15821, 4082, 269, 630, 8893, 476, 272, 268, 272, 264, 562, 476, 7918, 269, 476, 276, 1341, 9041, 476, 4649, 269, 7117, 476, 273, 910, 476, 1321, 476, 273, 1535, 274, 476, 6321, 269, 9041, 476, 280, 11553, 16730, 12702, 3041, 25492, 27699, 21135, 4855, 519, 1871, 540, 1142, 4082, 269, 630, 335, 1137, 476, 7597, 277, 1700, 7597, 278, 267, 476, 10384, 1700, 3583, 272, 264, 476, 6872, 269, 476, 271, 4037, 476, 6812, 269, 476, 277, 1321, 476, 6795, 269, 476, 28883, 264, 476, 272, 476, 272, 476, 2568, 269, 476, 275, 318, 910, 476, 272, 318, 476, 279, 476, 273, 476, 274, 476, 276, 476, 8618, 269, 9041, 1341, 476, 273, 318, 476, 1691, 3848, 476, 272, 634, 5678, 543, 13088, 540, 10789, 476, 276, 476, 278, 476, 273, 476, 7830, 269, 476, 279, 21680, 9041, 476, 280, 476, 272, 268, 274, 7046, 29941, 6301, 14313, 3040, 16534, 1930, 4845, 4834, 563, 7617, 6292, 540, 2418, 585, 1535, 543, 586, 1223, 21280, 2946, 946, 547, 16355, 557, 24981, 779, 3069, 286, 476, 1839, 667, 1535, 815, 476, 277, 267, 586, 815, 476, 274, 3367, 519, 4530, 30014, 634, 2243, 568, 6998, 585, 513, 1293, 699, 343, 2217, 269, 4855, 519, 2418, 540, 1535, 543, 586, 602, 1118, 519, 3948, 7301, 269, 16534, 519, 4530, 30014, 29799, 1535, 543, 586, 538, 519, 3830, 1535, 21680, 586, 815, 476, 272, 609, 519, 2016, 2418, 269, 476, 1839, 476, 272, 476, 272, 284, 272, 27077, 498, 634, 8367, 568, 3020, 267, 543, 1312, 2418, 616, 2898, 2338, 269, 634, 3948, 568, 3020, 269, 476, 277, 476, 272, 476, 273, 19749, 510, 272, 6744, 532, 11778, 4595, 3903, 595, 568, 519, 2953, 2626, 267, 596, 666, 2638, 707, 2164, 676, 4152, 519, 824, 2418, 563, 275, 910, 476, 274, 332, 264, 279, 476, 2767, 269, 910, 274, 263, 273, 343, 910, 476, 277, 264, 22217, 1518, 1142, 4082, 269, 1403, 711, 2009, 267, 2328, 16866, 269, 476, 2764, 269, 476, 273, 343, 1341, 476, 280, 343, 476, 3066, 269, 476, 275, 321, 910, 476, 272, 1341, 476, 276, 321, 476, 1789, 269, 476, 276, 333, 476, 273, 910, 476, 278, 333, 476, 4029, 269, 476, 274, 320, 476, 273, 1341, 513, 1341, 476, 1691, 320, 476, 273, 476, 3953, 269, 476, 1321, 263, 275, 1341, 476, 274, 322, 264, 476, 3451, 269, 630, 274, 343, 910, 476, 276, 264, 1428, 589, 2793, 14877, 30438, 570, 5723, 299, 2464, 1280, 20113, 476, 4097, 543, 476, 3374, 267, 946, 519, 3349, 602, 2982, 519, 10865, 1942, 540, 513, 2754, 1072, 1544, 269, 12232, 15928, 12697, 1107, 13600, 569, 932, 1173, 525, 15147, 720, 6481, 15482, 17496, 31287, 1269, 4281, 1269, 736, 1269, 1321, 7731, 630, 611, 6463, 5279, 264, 1269, 2004, 1269, 1428, 1269, 278, 476, 4097, 269, 3503, 543, 6218, 606, 4082, 547, 5173, 519, 2698, 1942, 540, 2564, 267, 5959, 267, 543, 5075, 6142, 585, 606, 9441, 585, 476, 277, 3275, 269, 0, 1607, 1576, 786, 1445, 593, 2500, 2994, 585, 4543, 1053, 4487, 519, 1898, 2035, 543, 2409, 540, 6673, 10803, 269, 1284, 786, 4983, 2200, 585, 4928, 6044, 267, 4879, 267, 2029, 267, 3785, 267, 543, 6673, 981, 7041, 269, 769, 1840, 267, 649, 786, 1865, 2152, 1644, 547, 4058, 543, 28720, 519, 1576, 267, 971, 607, 2875, 5542, 267, 533, 5217, 267, 543, 519, 6673, 10748, 527, 563, 9743, 1192, 528, 281, 6754, 3733, 619, 454, 2750, 8533, 2500, 14292, 2994, 585, 3450, 6673, 10803, 563, 28308, 523, 741, 1620, 540, 8579, 2035, 543, 2409, 538, 1239, 2079, 267, 1353, 1374, 267, 5506, 267, 543, 8579, 23221, 563, 25219, 559, 1125, 2029, 547, 3895, 8579, 3206, 269, 3763, 9744, 609, 1210, 24275, 26732, 543, 2780, 3301, 547, 5659, 1239, 543, 547, 1685, 13502, 563, 18439, 513, 3099, 540, 2081, 547, 2708, 2875, 1565, 563, 268, 13823, 2388, 267, 8080, 267, 17644, 585, 519, 10432, 267, 12875, 632, 8631, 454, 268, 11137, 540, 6673, 10803, 281, 606, 6679, 2534, 454, 268, 6673, 10748, 527, 454, 268, 6341, 7204, 543, 15331, 566, 454, 268, 10289, 4578, 281, 7421, 835, 28547, 610, 11050, 4756, 454, 268, 6168, 519, 6673, 11929, 454, 268, 10289, 4578, 281, 7421, 3347, 1063, 1079, 28547, 610, 11050, 4632, 454, 268, 6092, 4058, 543, 6388, 454, 268, 17438, 543, 4351, 4632, 454, 268, 6341, 7204, 14778, 454, 268, 30151, 11996, 454, 268, 4635, 2029, 3927, 281, 26732, 267, 813, 7410, 267, 543, 3301, 454, 268, 19043, 4255, 543, 3375, 6194, 454, 268, 24951, 1079, 2516, 610, 5095, 454, 268, 6673, 981, 7041, 454, 268, 5606, 2397, 827, 3347, 1063, 1079, 28547, 610, 1079, 11050, 4632, 454, 268, 15932, 986, 742, 548, 267, 20241, 267, 543, 24214, 6202, 454, 1607, 1576, 568, 6098, 693, 3610, 1007, 547, 6673, 10803, 563, 27645, 5461, 538, 513, 811, 4359, 1576, 2676, 28781, 1934, 610, 20801, 1524, 563, 1607, 1576, 786, 15052, 1620, 540, 6673, 10803, 538, 513, 10319, 1604, 269, 8262, 2093, 1331, 3695, 543, 3308, 1944, 835, 543, 1079, 4756, 1239, 267, 10386, 543, 17634, 267, 5506, 267, 4351, 4632, 267, 10386, 14778, 267, 543, 8579, 23221, 3842, 6015, 11996, 543, 4644, 4255, 269, 29896, 568, 1031, 2429, 547, 2333, 1620, 269, 1284, 786, 2263, 543, 4497, 519, 1543, 998, 2238, 602, 666, 581, 8045, 5612, 538, 519, 4928, 269, 4804, 568, 6462, 609, 606, 4367, 547, 24275, 26732, 269, 6196, 6673, 981, 2055, 786, 581, 10002, 17977, 609, 513, 1445, 593, 519, 6299, 7879, 1031, 547, 3446, 519, 2055, 269, 19893, 616, 9244, 9415, 547, 3142, 513, 24275, 9498, 563, 9743, 1192, 528, 281, 19279, 12070, 1723, 343, 454, 268, 1401, 2821, 5171, 547, 4143, 2200, 543, 14292, 2994, 602, 666, 3986, 519, 2298, 540, 741, 6673, 10803, 1576, 563, 268, 2920, 1947, 1331, 5171, 538, 2238, 602, 1020, 4514, 1620, 540, 8579, 2035, 563, 268, 3447, 622, 5171, 827, 519, 3898, 267, 1543, 267, 19875, 267, 543, 21249, 540, 519, 6673, 10803, 11929, 563, 268, 2637, 4733, 513, 1732, 1620, 540, 10386, 14778, 543, 23221, 563, 268, 10049, 630, 17806, 9248, 267, 10495, 8249, 994, 268, 18185, 1299, 8950, 11242, 454, 268, 700, 4875, 1299, 10965, 2931, 454, 268, 18044, 20000, 454, 268, 12085, 547, 20780, 912, 268, 4937, 6092, 6176, 543, 8249, 454, 268, 5149, 476, 272, 281, 10289, 4578, 454, 268, 5149, 476, 273, 281, 21290, 20518, 1903, 540, 4578, 454, 268, 5149, 476, 274, 281, 2677, 21564, 17716, 454, 268, 5149, 476, 275, 281, 27588, 5525, 543, 31401, 454, 268, 5149, 476, 276, 281, 17438, 454, 268, 5149, 476, 277, 281, 15932, 25159, 454, 268, 5149, 476, 278, 281, 6341, 7204, 20518, 1903, 454, 268, 5149, 476, 279, 281, 2290, 12726, 30151, 3955, 10094, 454, 268, 5149, 476, 280, 281, 2290, 12726, 19043, 18873, 454, 268, 5149, 476, 1015, 281, 5565, 12726, 5606, 2397, 454, 268, 5149, 476, 1556, 281, 15616, 30026, 18873, 454, 268, 5149, 476, 1321, 281, 2859, 6168, 22953, 454, 268, 5999, 270, 13480, 5384, 0, 763, 6239, 11106, 10837, 814, 12665, 945, 5659, 519, 12451, 540, 5022, 540, 519, 9904, 538, 606, 3801, 547, 21264, 18448, 539, 6835, 602, 616, 2366, 607, 524, 760, 22363, 1257, 269, 769, 9208, 2296, 1257, 267, 519, 4484, 678, 568, 1031, 693, 513, 2557, 540, 476, 277, 18336, 320, 269, 4855, 519, 1611, 543, 3044, 11539, 585, 519, 1297, 540, 2053, 519, 4484, 678, 786, 581, 1336, 593, 513, 6093, 2985, 540, 476, 18605, 271, 3197, 563, 321, 269, 769, 606, 18448, 539, 524, 760, 22363, 5048, 2366, 547, 9459, 267, 513, 2985, 540, 476, 18605, 271, 3197, 568, 1336, 547, 723, 519, 4484, 678, 9648, 476, 9965, 2053, 269, 1772, 713, 29099, 1970, 610, 1164, 286, 0, 19445, 543, 1514, 2923, 2069, 568, 513, 968, 5158, 5578, 892, 602, 568, 16122, 547, 4383, 607, 513, 1480, 1373, 538, 519, 1158, 676, 9591, 513, 1305, 540, 3059, 2418, 602, 5447, 609, 1483, 1158, 2418, 267, 1932, 1906, 7855, 267, 3237, 267, 543, 1256, 4966, 666, 1174, 519, 1950, 10316, 540, 1344, 547, 6330, 543, 1287, 13599, 585, 835, 2241, 2601, 281, 789, 14201, 1406, 4535, 538, 519, 1482, 5108, 267, 789, 1810, 1406, 723, 519, 1995, 609, 2029, 267, 6862, 666, 789, 4628, 1174, 519, 11707, 540, 621, 267, 610, 789, 1810, 1406, 899, 621, 693, 782, 267, 543, 723, 1100, 942, 585, 621, 269, 634, 1966, 568, 267, 9039, 540, 721, 666, 6488, 547, 4734, 621, 693, 602, 267, 519, 30367, 616, 865, 1164, 269, 5753, 1413, 909, 547, 721, 585, 1344, 267, 5583, 267, 1256, 950, 789, 27642, 711, 547, 269, 1656, 538, 519, 1858, 540, 1514, 2923, 543, 2029, 267, 519, 5354, 616, 31536, 633, 267, 7334, 267, 543, 930, 711, 1459, 693, 782, 269, 5131, 12081, 563, 763, 5168, 568, 267, 972, 3340, 513, 4090, 540, 9237, 1582, 26190, 543, 7029, 689, 3237, 543, 7855, 547, 3391, 938, 3059, 4961, 1360, 5402, 543, 5965, 873, 547, 581, 3222, 267, 28450, 267, 17519, 543, 23564, 593, 1480, 7919, 538, 606, 12212, 3348, 13895, 1604, 267, 799, 666, 3362, 1291, 873, 547, 1118, 4057, 1272, 5079, 799, 666, 2663, 1860, 741, 2729, 610, 11678, 269, 0, 32481, 519, 1158, 2804, 1646, 568, 693, 12918, 609, 519, 11091, 540, 938, 1604, 269, 13317, 1143, 568, 3533, 2144, 5317, 2476, 693, 602, 799, 649, 991, 585, 938, 6668, 269, 1403, 972, 568, 513, 2518, 1863, 2344, 4346, 519, 2347, 9552, 540, 938, 1604, 568, 17149, 269, 1306, 513, 1267, 540, 713, 1480, 14486, 568, 538, 519, 1360, 2282, 2104, 269, 634, 6668, 540, 8103, 5673, 593, 721, 9117, 1631, 547, 3247, 713, 14213, 540, 16851, 593, 519, 4541, 269, 1452, 616, 12050, 6898, 865, 594, 786, 1631, 1397, 596, 1250, 6169, 563, 3519, 16330, 5633, 1696, 620, 3370, 513, 1867, 538, 476, 1960, 278, 602, 6836, 547, 2322, 513, 3902, 11090, 593, 519, 1871, 540, 2596, 5117, 2533, 269, 6423 ]

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

[ 789, 16765, 29354, 519, 4397, 12809, 267, 14774, 1909, 540, 25655, 2021, 269, 4256, 7589, 607, 21847, 1129, 4705, 513, 811, 1950, 543, 13857, 4008, 2497, 1369, 693, 2547, 930, 2609, 540, 25245, 2528, 563, 15703, 29345, 553, 5031, 713, 4334, 676, 5104, 868, 777, 3151, 13104, 30823, 839, 1996, 811, 6671, 2021, 269, 634, 11599, 21563, 333, 327, 843, 337, 6829, 1152, 771, 323, 664, 585, 519, 598, 333, 1516, 267, 9940, 14565, 540, 1200, 15180, 267, 519, 14799, 717, 644, 14725, 269, 2701, 12595, 10100, 543, 8521, 2431, 2962, 936, 21522, 1368, 850, 543, 26760, 563, 299, 4526, 15925, 1932, 669, 3660, 2021, 945, 3274, 7608, 741, 6830, 17480, 543, 20495, 547, 1491, 606, 3742, 1688, 538, 5935, 741, 1378, 535, 919, 267, 1997, 908, 971, 1780, 2032, 609, 8467, 269, 4033, 6589, 11168, 519, 19831, 15421, 543, 5718, 1035, 18210, 540, 13104, 30823, 839, 3379, 547, 1455, 2777, 342, 1161, 563, 4322, 6589, 7866, 25245, 16431, 540, 22838, 267, 8956, 267, 543, 1463, 1145, 538, 4655, 1373, 13615, 2047, 547, 1685, 894, 27828, 269, 1744, 1752, 30823, 839, 7550, 891, 24940, 2275, 10757, 10305, 543, 2238, 267, 15980, 24940, 23938, 10643, 899, 968, 8705, 6205, 892, 5103, 741, 4775, 3023, 269, 4256, 7589, 538, 8396, 5116, 873, 538, 22880, 4334, 547, 519, 5354, 540, 2021, 16876, 547, 9940, 1875, 2173, 26090, 5107, 563, 4407, 1034, 25655, 2021, 530, 913, 267, 556, 1563, 1453, 267, 543, 7307, 10820, 267, 13104, 30823, 839, 9901, 6619, 609, 9604, 6537, 269, 4256, 3742, 6278, 538, 24940, 21384, 13733, 538, 519, 3068, 540, 2413, 21050, 525, 827, 14461, 4008, 15523, 538, 10120, 22778, 807, 563, 15987, 4686, 267, 891, 2021, 12927, 602, 25655, 2486, 4847, 693, 2547, 930, 4055, 585, 1346, 945, 15653, 12809, 8706, 6541, 538, 3870, 540, 29752, 2962, 593, 543, 1055, 519, 25071, 563, 1432, 9894, 25655, 1744, 1752, 631, 4660, 839, 23203, 888, 763, 2442, 3239, 540, 25655, 1744, 1752, 631, 4660, 839, 1419, 8580, 999, 22649, 540, 18979, 2021, 24224, 538, 6370, 268, 2819, 24915, 269, 8616, 267, 3140, 6589, 543, 15456, 4681, 2709, 513, 811, 13857, 2070, 563, 2252, 891, 24116, 2021, 11478, 267, 789, 2693, 21039, 13974, 547, 5256, 31557, 585, 6370, 269, 14022, 528, 267, 4352, 711, 607, 11342, 607, 13269, 538, 2923, 267, 1522, 723, 3769, 513, 5832, 13875, 688, 21310, 330, 936, 513, 14950, 4765, 28630, 267, 5356, 4027, 269, 29581, 1115, 267, 3335, 598, 673, 543, 18705, 689, 4401, 610, 16463, 267, 9580, 12023, 741, 9843, 563, 6944, 9009, 547, 2442, 3661, 267, 519, 11599, 18057, 539, 31238, 2404, 609, 31557, 616, 811, 513, 5137, 540, 476, 866, 628, 10601, 11509, 1143, 982, 3140, 6111, 269, 3143, 15456, 2963, 7028, 519, 2856, 602, 31557, 267, 2436, 5256, 610, 4775, 267, 20595, 18057, 539, 31238, 538, 6370, 563, 1103, 8396, 267, 1744, 1752, 631, 4660, 839, 4440, 29937, 539, 9604, 28330, 547, 1346, 1031, 676, 25655, 2367, 281, 32639, 267, 17887, 267, 884, 1513, 267, 543, 695, 3658, 1765, 15759, 1537, 547, 741, 4408, 820, 563, 7628, 4948, 1272, 267, 891, 2021, 2693, 21039, 538, 6093, 25655, 2021, 779, 30933, 281, 513, 32028, 896, 1673, 816, 9944, 513, 15144, 523, 22536, 816, 610, 3284, 1258, 267, 4371, 1927, 676, 2156, 665, 1127, 610, 11800, 269, 2274, 1430, 10887, 610, 25192, 941, 3044, 267, 609, 27972, 6545, 610, 695, 1177, 3149, 585, 14246, 538, 21617, 16374, 563, 297, 1168, 601, 787, 729, 1455, 267, 609, 2156, 665, 1127, 267, 20805, 1218, 267, 543, 19273, 711, 1175, 25798, 855, 849, 8876, 12572, 543, 8825, 4644, 563, 4407, 621, 779, 15673, 532, 547, 4952, 1744, 1752, 631, 4660, 839, 538, 3586, 6370, 10591, 267, 789, 941, 7533, 2694, 540, 741, 2486, 267, 3056, 15491, 2729, 602, 2838, 3309, 5107, 543, 30933, 563, 1103, 25245, 13299, 267, 1130, 5652, 1845, 3180, 513, 2027, 2990, 607, 4775, 5515, 5702, 13988, 609, 8396, 543, 519, 12556, 540, 15468, 21847, 269, 4256, 10305, 543, 11645, 7703, 11495, 19320, 547, 519, 13104, 30823, 839, 540, 25655, 10828, 563, 309, 1779, 344, 1845, 941, 25461, 609, 8939, 12325, 945, 5747, 12703, 569, 538, 6370, 543, 13057, 741, 20339, 547, 4406, 327, 718, 320, 267, 13095, 514, 779, 23836, 10689, 1141, 789, 1131, 3136, 2866, 543, 905, 8463, 2394, 519, 3284, 32565, 6370, 540, 681, 1725, 541, 758, 269, 901, 1909, 5116, 1130, 5652, 1845, 693, 519, 1360, 2295, 540, 25655, 24116, 2528, 543, 12738, 1472, 2669, 563, 2414, 11886, 713, 32444, 5539, 267, 1130, 5652, 1845, 2877, 4987, 267, 19831, 5578, 267, 543, 23440, 609, 8396, 269, 1358, 849, 17820, 10100, 267, 524, 7342, 267, 543, 5718, 538, 1199, 11868, 1063, 519, 26441, 540, 519, 2713, 543, 519, 4666, 269, 634, 7907, 20083, 9985, 609, 1346, 11911, 547, 13104, 30823, 839, 998, 8941, 540, 741, 25071, 7518, 1080, 563, 2005, 568, 2693, 811, 982, 14626, 2064, 602, 891, 1079, 2010, 540, 4775, 5515, 2671, 865, 1082, 7592, 269, 3509, 5640, 3494, 519, 1523, 540, 519, 1130, 5652, 4471, 7153, 689, 4505, 5711, 543, 2854, 2984, 540, 13104, 30823, 839, 18071, 27089, 543, 8956, 950, 8165, 7258, 2367, 269, 3683, 942, 267, 891, 6180, 531, 2021, 2968, 7242, 860, 1242, 607, 10859, 1673, 643, 710, 1781, 657, 619, 540, 519, 32219, 4666, 563, 1607, 3095, 1063, 1130, 5652, 1845, 543, 13104, 30823, 839, 24889, 609, 15244, 540, 519, 8545, 1336, 538, 13742, 267, 30401, 267, 543, 3140, 6589, 269, 898, 1202, 514, 340, 919, 602, 519, 1130, 5652, 1845, 540, 25245, 7242, 6565, 693, 2547, 13148, 689, 513, 17830, 540, 4641, 827, 32090, 2021, 945, 941, 4397, 547, 3180, 741, 1378, 538, 19831, 5468, 543, 4159, 519, 10100, 543, 6891, 540, 1022, 32161, 5869, 563, 1103, 713, 1769, 267, 1130, 5652, 1845, 666, 581, 9763, 1312, 607, 26704, 13413, 547, 13104, 30823, 839, 543, 849, 607, 11760, 906, 602, 2021, 941, 5433, 5827, 540, 10283, 538, 2112, 543, 5935, 922, 6364, 269, 4256, 4720, 14753, 547, 519, 2686, 4644, 543, 12572, 1379, 891, 4775, 21847, 4371, 538, 519, 25655, 2113, 24586, 563, 17457, 7377, 9177, 3493, 11881, 454, 763, 11599, 13104, 30823, 523, 5170, 547, 581, 513, 20013, 540, 2442, 2923, 267, 556, 19960, 1441, 998, 2413, 9423, 585, 4207, 9458, 269, 9282, 23503, 267, 741, 12572, 4567, 607, 4775, 21847, 16877, 1459, 6377, 6386, 563, 763, 3778, 19305, 12416, 31557, 4547, 700, 4526, 15925, 267, 19416, 13104, 30823, 523, 543, 593, 8135, 7385, 540, 681, 1725, 541, 700, 1054, 15842, 330, 267, 1394, 547, 1272, 269, 7591, 539, 676, 918, 1430, 2106, 654, 4883, 1157, 267, 700, 4526, 15925, 568, 2808, 519, 6574, 13104, 30823, 523, 540, 1200, 5736, 1107, 513, 18979, 25142, 945, 5012, 20679, 543, 3652, 607, 513, 808, 22611, 538, 1200, 1378, 1318, 269, 4173, 1915, 11479, 1753, 4775, 16882, 4798, 602, 13469, 609, 13588, 563, 299, 4526, 15925, 689, 31557, 454, 763, 25245, 30816, 14810, 3126, 634, 7831, 8003, 2934, 14070, 13104, 30823, 523, 20710, 320, 269, 2701, 24151, 519, 2112, 23899, 7115, 543, 25071, 23258, 2404, 609, 891, 24069, 269, 4033, 2982, 899, 6969, 793, 619, 15827, 13104, 30823, 839, 883, 6760, 5559, 553, 607, 2178, 4775, 5012, 563, 308, 321, 529, 21510, 512, 11474, 883, 519, 9029, 609, 476, 1708, 271, 779, 3381, 3014, 2667, 817, 514, 779, 595, 7517, 4406, 327, 718, 320, 267, 15603, 5716, 18220, 661, 643, 528, 519, 16423, 11860, 1170, 539, 267, 513, 25655, 986, 3187, 4171, 3983, 817, 2044, 9055, 519, 13104, 30823, 523, 31672, 269, 661, 643, 528, 18327, 2021, 666, 581, 8449, 25412, 21847, 543, 3401, 3379, 547, 5256, 13413, 563, 4537, 1752, 30823, 839, 723, 6273, 14070, 24116, 2021, 5515, 2094, 570, 13083, 1329, 779, 661, 578, 2106, 269, 26135, 9089, 899, 27211, 10787, 1067, 779, 7256, 540, 570, 2651, 338, 959, 559, 9609, 4183, 6370, 3620, 731, 2989, 5869, 1149, 774, 3073, 559, 543, 10793, 267, 1247, 21546, 19676, 779, 25655, 2389, 1335, 539, 966, 3298, 543, 27254, 3126, 11363, 18979, 11078, 3125, 538, 7916, 563, 4467, 545, 2835, 543, 30841, 723, 849, 7550, 519, 6249, 269, 15550, 1633, 590, 15676, 6212, 593, 519, 7518, 1080, 540, 519, 13104, 30823, 523, 18897, 325, 4883, 538, 10120, 2342, 269, 2997, 12310, 540, 519, 9855, 5544, 7547, 31733, 779, 1491, 538, 519, 1915, 540, 8330, 571, 267, 5373, 1463, 6667, 689, 25245, 17691, 563, 4322, 14906, 1431, 949, 30996, 880, 1686, 267, 2943, 789, 5031, 5571, 22906, 609, 891, 24069, 540, 4775, 1379, 269, 634, 1130, 5050, 6891, 540, 519, 13104, 30823, 523, 1869, 24889, 538, 2413, 6386, 14120, 2021, 779, 4222, 267, 689, 14676, 547, 3381, 3756, 547, 2962, 1790, 17977, 5559, 553, 269, 4256, 12572, 9371, 26251, 607, 9913, 27372, 563, 268, 1744, 1752, 30823, 839, 941, 2021, 21847, 538, 25245, 543, 27272, 8941, 945, 10692, 7258, 2367, 267, 29937, 532, 9604, 543, 24915, 563, 268, 8466, 6589, 543, 15456, 2963, 5267, 930, 25655, 2021, 1705, 1491, 909, 7916, 267, 1219, 3539, 4008, 5107, 563, 268, 25587, 13104, 30823, 839, 899, 21563, 333, 327, 843, 337, 267, 700, 4526, 15925, 267, 543, 670, 969, 528, 941, 1767, 547, 6474, 5256, 12325, 538, 27089, 543, 5578, 563, 268, 3400, 1407, 540, 11439, 2021, 1448, 547, 513, 15410, 540, 4775, 31557, 2047, 7722, 538, 8396, 610, 4108, 5718, 5107, 563, 268, 32439, 6813, 13104, 30823, 839, 8165, 538, 12959, 267, 6029, 789, 1185, 930, 27733, 538, 25655, 2486, 563, 268, 19120, 885, 540, 7242, 545, 1130, 5652, 1845, 2693, 7153, 689, 5711, 8941, 540, 1483, 13104, 30823, 839, 18071, 10100, 563, 268, 4256, 9371, 607, 4775, 25881, 16877, 2413, 1402, 2528, 26007, 538, 2982, 267, 3756, 267, 2835, 267, 543, 14676, 563, 4537, 1752, 631, 4660, 839, 1107, 14174, 17988, 454, 1692, 1082, 4775, 25655, 24116, 30401, 723, 1044, 1336, 888, 18744, 513, 1507, 1297, 267, 1472, 476, 2918, 267, 723, 1044, 17046, 569, 4857, 269, 901, 6920, 13104, 30823, 839, 941, 5266, 16613, 267, 1498, 1007, 5027, 2079, 2553, 949, 10625, 811, 563, 12441, 13104, 30823, 839, 4339, 7258, 519, 2367, 538, 2834, 12959, 888, 28398, 338, 616, 3908, 267, 855, 2959, 2446, 13104, 30823, 839, 8165, 538, 930, 12959, 269, 1358, 2693, 15548, 7258, 2367, 593, 8317, 855, 941, 711, 851, 540, 519, 3339, 16034, 563, 12441, 13104, 30823, 839, 1152, 2291, 2038, 538, 519, 25655, 6520, 888, 27066, 2408, 909, 998, 519, 476, 1724, 628, 2540, 267, 10834, 789, 30174, 538, 930, 4390, 2429, 519, 25655, 5736, 269, 1809, 789, 941, 2693, 1034, 1455, 1282, 519, 2038, 25655, 986, 1749, 563, 27745, 513, 13104, 30823, 523, 849, 19533, 543, 723, 513, 1920, 888, 8133, 267, 13104, 30823, 839, 949, 723, 10692, 950, 1762, 543, 796, 3405, 3072, 1354, 23928, 1524, 269, 2368, 6589, 2446, 13104, 30823, 839, 945, 1705, 19533, 543, 723, 1453, 1310, 741, 8165, 2395, 269, 4256, 3742, 24116, 6197, 729, 10151, 585, 1082, 563, 3674, 6154, 5984, 513, 1744, 1752, 631, 4660, 523, 888, 4407, 6154, 5984, 3884, 1406, 9286, 607, 513, 2757, 1744, 1752, 631, 4660, 523, 267, 1200, 1909, 538, 25245, 13299, 11498, 3564, 6071, 12205, 609, 2648, 543, 5898, 563, 9515, 7506, 13137, 267, 7446, 15468, 21847, 585, 1200, 31676, 10689, 543, 19299, 3532, 13742, 899, 519, 5696, 2358, 29546, 8405, 331, 864, 563, 15447, 333, 585, 1200, 4222, 543, 7115, 267, 1352, 2853, 694, 573, 337, 267, 513, 22408, 1356, 344, 5532, 547, 2112, 269, 2755, 711, 513, 21055, 1744, 1752, 631, 4660, 523, 267, 6154, 5984, 24151, 513, 14984, 267, 15491, 4137, 267, 16471, 10305, 540, 1379, 267, 2112, 267, 543, 15831, 6438, 7907, 538, 25245, 13299, 563, 763, 9159, 10828, 540, 519, 25655, 13104, 30823, 523, 814, 28815, 585, 5553, 267, 13830, 4337, 5209, 609, 8941, 540, 18979, 2021, 21847, 11836, 519, 16034, 540, 2367, 538, 6370, 563, 4407, 9840, 3136, 936, 741, 2407, 9860, 538, 1686, 267, 519, 15244, 891, 12703, 5515, 2451, 3297, 20726, 693, 513, 2486, 1141, 693, 2547, 930, 2021, 10489, 2105, 6671, 4008, 6302, 563, 19853, 3677, 31032, 3734, 9371, 2729, 593, 607, 513, 3532, 3090, 540, 19831, 10100, 543, 4222, 602, 1869, 26182, 2413, 26007, 269, 9282, 519, 19178, 6961, 688, 5414, 267, 519, 13104, 30823, 523, 18840, 6943, 3788, 9565, 267, 8744, 891, 13009, 4565, 5074, 2021, 540, 519, 25655, 6520, 12667, 569, 547, 1272, 538, 14868, 267, 6386, 267, 543, 519, 2442, 9637, 563, 4537, 641, 25655, 4035, 601, 787, 454, 6701, 13730, 827, 31557 ]

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

[ 1871, 829, 2875, 267, 1269, 272, 269, 1704, 5826, 543, 4238, 3454, 2557, 267, 2488, 1269, 272, 267, 10204, 2199, 8907, 829, 2875, 543, 814, 476, 271, 30779, 625, 540, 5826, 543, 4238, 3454, 2557, 2451, 269, 901, 568, 606, 6654, 1383, 602, 1510, 1533, 5351, 972, 3112, 581, 606, 3160, 2069, 1982, 538, 1034, 7147, 2950, 563, 2414, 1224, 811, 5225, 2845, 538, 610, 24049, 547, 519, 3059, 7160, 4179, 2517, 4178, 269, 1214, 6647, 26236, 2593, 14727, 32111, 553, 260, 736, 290, 913, 260, 736, 289, 534, 1676, 2839, 5325, 272, 270 ]

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

[ 519, 2112, 267, 2705, 267, 6628, 543, 5333, 556, 928, 3022, 593, 741, 14767, 540, 2407, 6259, 7115, 267, 3079, 12270, 519, 11182, 2687, 547, 519, 5204, 7719, 6261, 545, 582, 15716, 269, 901, 20729, 531, 17275, 30891, 1851, 5204, 20379, 543, 18674, 741, 8207, 547, 3035, 9758, 16285, 780, 1103, 3932, 267, 519, 3735, 13524, 543, 2038, 14206, 5553, 4718, 519, 11944, 540, 7524, 28929, 5322, 538, 16850, 269, 27837, 676, 1312, 2757, 9099, 2418, 543, 4207, 5375, 16431, 267, 15628, 899, 1346, 538, 620, 6363, 520, 520, 543, 519, 1546, 25218, 1436, 9549, 22002, 1114, 2994, 547, 7682, 26219, 3961, 543, 5706, 4914, 13567, 269, 6736, 22303, 267, 789, 21490, 519, 1259, 585, 2663, 9620, 585, 7115, 543, 8329, 547, 5935, 2413, 16850, 781, 2686, 543, 2797, 5251, 780, 21010, 532, 713, 1686, 609, 1459, 6377, 2152, 267, 649, 666, 7747, 875, 519, 9371, 540, 891, 2038, 28929, 5322, 5170, 547, 3337, 27964, 4478, 26219, 16285, 267, 3443, 5025, 4599, 1143, 267, 543, 4187, 1996, 5007, 6304, 269, 1280, 3236, 267, 5571, 9840, 3823, 519, 2197, 781, 2797, 2497, 2992, 4505, 5717, 827, 3844, 1436, 8957, 15139, 1436, 269, 5015, 267, 519, 2833, 540, 891, 21722, 3906, 2709, 3407, 4245, 585, 4207, 1514, 5126, 3646, 2429, 519, 3148, 1107, 12077, 267, 519, 2956, 540, 9322, 267, 7580, 4058, 267, 543, 10770, 14223, 5103, 14488, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8649, 23165, 476, 1960, 273, 264, 476, 25090, 268, 28071, 282, 808, 269, 5840, 263, 808, 12569, 4811, 1575, 476, 9340, 282, 2701, 742, 1752, 476, 1960, 274, 5148, 670, 269, 849, 13187, 689, 20917, 476, 1704, 281, 1724, 21756, 269, 4856, 476, 1015, 281, 275, 282, 476, 273, 7033, 476, 274, 281, 279, 282, 7225, 324, 476, 280, 1040, 476, 274, 281, 272, 268, 277, 282, 476, 280, 281, 1626, 268, 2764, 282, 476, 1321, 281, 1240, 268, 2190, 282, 4860, 476, 1428, 281, 274, 1040, 1546, 583, 476, 276, 281, 736, 268, 2764, 282, 623, 338, 476, 9818, 281, 278, 282, 11184, 476, 3393, 281, 276, 282, 32647, 269, 15584, 729, 547, 21756, 538, 5754, 659, 12764, 9791, 263, 32647, 269, 15584, 941, 5393, 6131, 609, 14172, 269, 15584, 11751, 21756, 538, 5754, 659, 12764, 543, 905, 9312, 4988, 269, 5845, 334, 540, 28641, 263, 2372, 320, 652, 269, 1546, 583, 476, 4097, 281, 272, 282, 32333, 476, 272, 281, 1321, 282, 476, 273, 21756, 538, 269, 7442, 3326, 517, 3780, 631, 20325, 267, 17880, 1105, 639, 1040, 769, 21756, 538, 5754, 659, 12764, 9791, 2594, 17634, 590, 269, 15584, 267, 808, 297, 306, 476, 3451, 263, 476, 2735, 273, 264, 476, 26801, 268, 14838, 282, 918, 269, 18614, 267, 25553, 304, 476, 4375, 263, 476, 3192, 278, 264, 476, 4097, 268, 4510, 282, 744, 269, 26187, 636, 267, 4525, 543, 4609, 269, 21756, 538, 5754, 659, 12764, 9791, 3332, 267, 808, 301, 2464, 476, 1321, 263, 476, 4198, 274, 264, 476, 18597, 268, 23211, 282, 918, 269, 667, 1090, 520, 626, 267, 808, 7704, 476, 4097, 263, 476, 2735, 274, 264, 476, 2641, 268, 3066, 282, 595, 269, 1546, 17458, 517, 558, 1756, 476, 4097, 281, 272, 268, 279, 267, 1546, 12928, 322, 19816, 269, 7720, 8240, 267, 715, 539, 22721, 338, 476, 6246, 263, 476, 2735, 280, 264, 476, 272, 268, 1015, 282, 631, 269, 31886, 263, 5507, 476, 3422, 275, 264, 476, 15704, 268, 19442, 269, 3751, 267, 4574, 538, 21756, 538, 5754, 659, 12764, 269, 16097, 593, 519, 21756, 540, 15584, 263, 9663, 269, 3400, 325, 22519, 664, 7770, 476, 4350, 272, 264, 476, 18597, 268, 3607, 274, 282, 717, 269, 717, 525, 600, 339, 4546, 330, 267, 918, 2967, 4592, 476, 1626, 263, 476, 3192, 275, 264, 476, 14065, 268, 21497, 282, 808, 269, 24415, 1662, 553, 267, 645, 12569, 3008, 476, 2190, 263, 476, 3422, 272, 264, 476, 275, 866, 268, 4510, 274, 282, 631, 269, 26499, 523, 3541, 16334, 1088, 30113, 333, 1676, 263, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5664, 5101, 1315, 16850, 1315, 2817, 626, 28073, 538, 7073, 16850, 630, 17218, 476, 866, 628, 268, 22022, 476, 736, 628, 5553, 9460, 1040, 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, 0, 6092, 5149, 281, 4197, 32495, 1389, 543, 10289, 9147, 11096, 2684, 625, 692, 8893, 476, 272, 281, 1548, 3657, 32495, 1389, 2496, 5970, 596, 2479, 4862, 519, 2666, 21199, 9944, 707, 3952, 899, 972, 729, 513, 2731, 2462, 14903, 678, 22824, 676, 3544, 286, 2107, 6148, 621, 5433, 899, 2576, 1185, 14593, 596, 30122, 286, 1403, 865, 267, 596, 1522, 723, 4810, 513, 1507, 13091, 256, 1323, 13091, 4523, 950, 972, 568, 3350, 538, 519, 3047, 779, 12933, 1107, 519, 9018, 4494, 540, 938, 4541, 269, 6884, 267, 891, 5322, 5305, 1648, 602, 3123, 519, 24373, 649, 1745, 269, 1284, 1289, 713, 5950, 1648, 20381, 6329, 780, 5331, 2921, 513, 12285, 6656, 543, 15198, 621, 856, 593, 513, 3349, 269, 3767, 952, 596, 1747, 513, 5230, 3440, 538, 519, 4099, 540, 602, 21401, 6656, 267, 621, 5932, 513, 4965, 610, 16702, 1472, 519, 3440, 269, 1879, 596, 4894, 519, 3440, 267, 519, 6656, 536, 25555, 1394, 909, 267, 2870, 678, 31454, 1175, 899, 1018, 4523, 609, 20381, 6329, 1282, 606, 13091, 269, 1452, 6329, 2951, 998, 519, 3047, 543, 666, 2014, 1713, 3441, 4470, 593, 741, 2450, 543, 4087, 780, 4131, 781, 1589, 827, 26280, 2871, 7315, 267, 519, 1292, 1915, 689, 834, 2704, 633, 257, 676, 12794, 29883, 269, 2755, 10707, 585, 960, 835, 1554, 267, 26280, 2871, 7315, 2833, 1945, 2484, 811, 7920, 982, 513, 2370, 24373, 282, 3079, 267, 646, 8188, 606, 11212, 3532, 13091, 602, 2242, 1010, 3003, 1158, 269, 4014, 17559, 543, 16160, 267, 16767, 2709, 721, 3407, 1344, 827, 875, 938, 3047, 13333, 24323, 269, 12207, 1353, 16767, 5702, 547, 1451, 811, 827, 519, 1950, 1949, 693, 1404, 2620, 1369, 938, 4541, 780, 12244, 281, 2913, 781, 1711, 938, 1378, 2203, 540, 606, 13091, 1210, 10036, 610, 14859, 269, 23426, 519, 1570, 883, 513, 6366, 2627, 8204, 519, 3047, 781, 12933, 269, 3973, 7903, 1079, 11263, 883, 519, 2627, 630, 13678, 1791, 547, 11093, 513, 5230, 3440, 264, 4929, 519, 1412, 322, 6412, 262, 547, 22775, 269, 17179, 707, 11263, 7444, 1247, 11287, 519, 1259, 519, 1570, 536, 25555, 1394, 910, 1346, 2099, 519, 20381, 6329, 2813, 676, 1483, 16767, 2439, 14945, 8893, 476, 273, 281, 4985, 547, 9147, 11096, 2684, 625, 281, 4804, 6168, 25230, 22675, 692, 3086, 1577, 781, 3460, 1394, 936, 476, 273, 267, 1822, 1296, 3516, 547, 3504, 3624, 267, 1141, 8797, 2367, 3838, 741, 4555, 593, 875, 1004, 1223, 2661, 1434, 2729, 1927, 269, 2290, 971, 14544, 729, 25230, 639, 267, 945, 5059, 593, 5837, 2418, 267, 1697, 2623, 2509, 1866, 267, 543, 1582, 21553, 2889, 22777, 269, 3571, 10752, 941, 6394, 883, 513, 1433, 1572, 834, 763, 1323, 531, 31637, 540, 25230, 639, 2437, 799, 2882, 2161, 902, 543, 7391, 1063, 1864, 543, 1010, 13794, 780, 3519, 14673, 857, 639, 5156, 602, 10103, 1851, 2043, 543, 2486, 3323, 609, 16614, 3347, 1063, 1004, 269, 1280, 1383, 267, 1453, 1590, 1397, 2083, 658, 14039, 1214, 1107, 2620, 2463, 543, 1416, 1107, 4724, 741, 3237, 543, 22242, 269, 6684, 267, 17710, 2877, 547, 1521, 741, 5396, 9425, 543, 24963, 269, 1635, 1739, 891, 3741, 267, 3025, 1131, 3565, 547, 2679, 513, 12560, 543, 18900, 2146, 780, 1103, 834, 2704, 633, 2580, 1256, 9624, 14784, 3361, 676, 519, 13091, 267, 26280, 2871, 7315, 9727, 2609, 540, 25230, 534, 6138, 998, 12391, 585, 1010, 1920, 2818, 543, 20678, 585, 2123, 13120, 1247, 4509, 8699, 780, 12244, 281, 5994, 1373, 513, 1246, 518, 540, 25230, 639, 269, 3503, 1524, 1614, 2055, 596, 1131, 2307, 1864, 1759, 593, 3584, 1271, 547, 596, 267, 971, 607, 11505, 267, 2069, 267, 610, 14619, 269, 9523, 707, 2055, 609, 15032, 543, 1865, 2009, 4267, 2687, 547, 25230, 639, 262, 10752, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2704, 633, 676, 12794, 29883, 307, 784, 2871, 7315, 568, 513, 2834, 1870, 2006, 267, 9393, 267, 543, 4651, 267, 3843, 547, 1265, 513, 2816, 585, 1010, 8250, 543, 606, 19887, 585, 1010, 5067, 538, 6917, 3624, 269, 1261, 781, 1985, 538, 1899, 547, 581, 21470, 10615, 540, 519, 666, 1676, 344, 1141, 646, 1568, 269, 2290, 6640, 538, 3735, 5147, 646, 2306, 519, 22221, 5662, 5721, 7552, 689, 16334, 10202, 4975, 547, 19248, 604, 340, 267, 547, 2932, 1870, 585, 1010, 2754, 602, 646, 13922, 786, 6368, 1291, 547, 513, 13319, 543, 519, 2653, 1272, 269, 634, 2621, 602, 1246, 616, 4986, 2110, 540, 27314, 267, 607, 519, 1360, 3618, 10593, 896, 2871, 7315, 781, 3952, 269, 901, 568, 12794, 29883, 781, 3001, 267, 9490, 267, 9159, 1650, 540, 606, 13091, 543, 513, 1455, 812, 267, 519, 13218, 540, 1920, 543, 519, 7060, 540, 25896, 281, 519, 3501, 4367, 547, 606, 18368, 28601, 2413, 4487, 563, 763, 1323, 531, 31637, 540, 25230, 639, 676, 25230, 639, 763, 1323, 531, 31637, 540, 25230, 639, 5531, 338, 519, 10752, 610, 21428, 528, 3359, 540, 519, 4457, 14544, 25230, 639, 630, 4649, 272, 268, 5325, 280, 7460, 1040, 1261, 11828, 519, 13919, 540, 2229, 543, 519, 1367, 267, 1514, 3347, 267, 5126, 543, 5609, 1356, 640, 269, 634, 10952, 4779, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7991, 6278, 543, 7589, 616, 2565, 3334, 540, 3811, 2749, 4058, 543, 4683, 1646, 267, 3226, 538, 4180, 12581, 1569, 547, 1898, 2533, 899, 2922, 6704, 1216, 269, 634, 8574, 3177, 8711, 519, 2956, 540, 4974, 3811, 2665, 540, 8537, 10398, 539, 1216, 11865, 538, 4872, 2066, 4000, 267, 5607, 267, 543, 3162, 3013, 269, 769, 713, 3296, 540, 519, 1837, 267, 649, 786, 5490, 4514, 883, 2146, 6278, 543, 7589, 267, 6313, 922, 4644, 267, 2591, 267, 1655, 2853, 267, 543, 1761, 3435, 780, 14294, 881, 766, 540, 7991, 22580, 543, 30880, 454, 24801, 19030, 19931, 2146, 6278, 543, 7589, 5512, 14519, 543, 24990, 547, 1732, 1174, 2199, 2115, 267, 7375, 267, 543, 14422, 630, 290, 1941, 13665, 1299, 5576, 520, 1084, 3213, 601, 14833, 267, 476, 1220, 278, 1040, 1635, 5473, 4961, 538, 3375, 6194, 3157, 267, 4566, 1831, 811, 17841, 267, 16048, 267, 543, 4264, 630, 293, 2426, 1299, 19159, 267, 476, 1220, 274, 1040, 5015, 267, 3742, 12504, 9525, 666, 2087, 12477, 267, 3972, 267, 543, 5698, 1063, 2229, 8041, 267, 4357, 5823, 9988, 267, 3540, 2486, 3906, 267, 543, 2950, 630, 289, 990, 1515, 323, 267, 476, 1220, 278, 1040, 11086, 267, 1134, 27059, 2146, 6278, 2994, 3565, 547, 4824, 10350, 267, 8476, 1514, 22122, 267, 543, 2799, 9547, 1851, 7264, 780, 29936, 538, 7991, 22580, 543, 30880, 454, 24801, 14945, 8601, 741, 2640, 267, 2502, 2950, 538, 2749, 4058, 543, 4683, 1646, 8188, 1896, 2591, 269, 1452, 949, 1331, 1379, 20817, 267, 1893, 7496, 267, 3668, 540, 4656, 827, 3255, 585, 7589, 267, 3908, 2200, 267, 543, 12721, 7569, 593, 1004, 781, 942, 630, 6635, 333, 7322, 267, 476, 3422, 280, 282, 30474, 1696, 620, 1421, 476, 1960, 276, 1040, 3958, 267, 18351, 2065, 3029, 540, 1857, 15360, 1419, 3111, 547, 1711, 6209, 1689, 1813, 547, 13385, 1246, 28443, 543, 6388, 540, 2146 ]

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

[ 267, 2413, 267, 543, 29478, 15472, 269, 898, 2636, 25249, 547, 2769, 4664, 998, 5714, 267, 27763, 20517, 1247, 8220, 609, 519, 11733, 543, 18405, 540, 4207, 8964, 269, 5994, 8384, 513, 2773, 4904, 609, 27789, 6186, 17267, 267, 682, 2355, 267, 7140, 267, 543, 6989, 1740, 910, 782, 1305, 547, 9159, 23964, 269, 16319, 5863, 267, 1318, 2496, 4131, 781, 4685, 4514, 883, 891, 1079, 6163, 543, 1451, 930, 1187, 5013, 2059, 519, 1259, 2439, 1262, 3849, 698, 1470, 16001, 265, 9894, 596, 917, 602, 740, 720, 630, 29455, 513, 327, 5937, 288, 295, 313, 295, 264, 2501, 689, 519, 1482, 3597, 607, 740, 698, 1470, 286, 5637, 1913, 22132, 689, 519, 5824, 8231, 1412, 611, 807, 576, 516, 10086, 2495, 1412, 1729, 9114, 693, 9538, 1924, 9247, 267, 1312, 2474, 9305, 547, 1373, 9350, 267, 17159, 267, 610, 1869, 563, 265, 3487, 333, 1359, 568, 1898, 547, 1034, 740, 698, 1470, 9696, 267, 855, 1705, 596, 849, 917, 602, 972, 781, 971, 513, 3364, 1572, 834, 320, 518, 658, 24574, 1359, 22172, 17224, 658, 24574, 1359, 3322, 17666, 707, 7649, 1055, 519, 2666, 1282, 3076, 1206, 543, 6585, 267, 2870, 18198, 8090, 1164, 1657, 519, 3942, 269, 3807, 4952, 865, 2130, 899, 513, 6177, 538, 3501, 5348, 322, 609, 1776, 1268, 2439, 1262, 299, 344, 3740, 11873, 16001, 265, 5620, 596, 2479, 14478, 513, 15854, 1356, 1685, 11953, 20584, 286, 667, 3496, 11953, 20584, 539, 568, 1455, 538, 11430, 3740, 4773, 1317, 621, 6087, 1732, 4276, 609, 519, 2666, 267, 3850, 5159, 547, 1745, 811, 5191, 538, 741, 5322, 563, 265, 2290, 2189, 2460, 540, 11430, 3740, 7544, 568, 27906, 5314, 269, 932, 648, 20802, 3006, 5000, 25249, 547, 4612, 519, 5152, 781, 5048, 21176, 267, 4611, 538, 3309, 12644, 1256, 952, 789, 2671, 519, 1482, 3950, 780, 2026, 649, 5490, 2417, 883, 1620, 740, 698, 1470, 543, 11430, 3740, 3350, 267, 3314, 602, 2259, 543, 9639, 786, 948, 596, 4487, 1585, 2553, 2404, 609, 873, 269, 6787, 7900, 4805, 610, 29050, 267, 2141, 11441, 547, 2995, 2984, 543, 18427, 4664, 998, 1169, 23972, 543, 1900, 269, 8414, 15472, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22977, 889, 32492, 4437, 727, 2559, 923, 2986, 634, 4053, 1529, 25063, 3590, 454, 22977, 889, 32492, 4437, 727, 2559, 923, 2986, 634, 4053, 1529, 25063, 3590, 454, 7468, 1550, 6723, 2306, 8106, 1851, 4436, 7128, 538, 934, 6748, 711, 1614, 26977, 269, 3571, 5639, 568, 8402, 267, 513, 1915, 547, 7083, 6778, 321, 520, 1084, 267, 519, 3078, 4320, 543, 2855, 15219, 8926, 540, 519, 13584, 540, 12986, 269, 1323, 3134, 889, 12985, 27354, 2559, 923, 267, 513, 1533, 543, 519, 6909, 11356, 540, 3127, 267, 646, 17388, 838, 10165, 909, 676, 519, 11509, 1143, 538, 476, 3192, 280, 269, 2334, 17275, 24076, 1614, 6208, 1354, 519, 4990, 540, 13584, 5261, 267, 945, 556, 3438, 730, 536, 6139, 1042, 8402, 607, 513, 2312, 2575, 538, 14440, 269, 3134, 889, 12985, 27354, 2559, 923, 540, 519, 8591, 922, 6602, 547, 1082, 25210, 267, 609, 513, 6422, 8917, 593, 1762, 4992, 5716, 269, 31434, 6276, 267, 23688, 783, 540, 15345, 21036, 267, 7813, 540, 519, 4639, 267, 13780, 4204, 15928, 267, 543, 2353, 1014, 345, 6820, 7767, 832, 269, 16863, 616, 7745, 513, 5832, 268, 14127, 13820, 6804, 3134, 889, 12985, 27354, 2559, 923, 540, 519, 30273, 609, 842, 515, 267, 835, 512, 1512, 1310, 741, 1990, 1993, 3757, 3280, 267, 15214, 21504, 267, 11074, 8052, 1540, 676, 6828, 517, 263, 16998, 14149, 1040, 1358, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3849, 698, 1470, 543, 10370, 3740, 11873, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 18190, 1299, 7195, 2280, 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, 0, 3848, 476, 1691, 281, 7780, 1006, 631, 1120, 619, 543, 21733, 29792, 630, 300, 261, 2026, 2020, 5970, 596, 2479, 9289, 875, 930, 4213, 1332, 543, 1831, 2462, 14078, 286, 2290, 1259, 789, 798, 713, 568, 998, 12388, 619, 543, 4203, 29792, 630, 300, 261, 2026, 1040, 589, 32421, 4523, 950, 1079, 3549, 9192, 547, 1106, 513, 1007, 2754, 267, 1247, 606, 11601, 4386, 950, 835, 2754, 1207, 903, 1776, 2754, 269, 4653, 267, 649, 786, 1451, 827, 10626, 631, 261, 2026, 1107, 1018, 789, 616, 267, 1946, 789, 4755, 267, 543, 875, 789, 1860, 721, 780, 5331, 972, 616, 1079, 2199, 16741, 15945, 538, 707, 4884, 269, 1358, 1312, 6133, 8949, 533, 11170, 553, 855, 3068, 9157, 6735, 269, 1677, 3251, 2178, 267, 519, 5411, 1522, 2015, 11836, 4229, 676, 26399, 883, 835, 2462, 16741, 6300, 269, 901, 1131, 1450, 873, 547, 2671, 2200, 899, 5820, 267, 3937, 267, 543, 5234, 269, 8625, 267, 789, 1223, 4196, 811, 5561, 267, 1930, 1007, 6753, 267, 543, 6148, 1256, 6338, 1007, 10624, 3688, 2439, 3086, 1577, 781, 4019, 713, 1523, 547, 1857, 20848, 267, 971, 607, 1216, 267, 5201, 267, 610, 3154, 7426, 269, 3807, 899, 938, 16741, 15945, 267, 3006, 621, 2306, 2631, 585, 10626, 3549, 547, 19467, 610, 10536, 1142, 824, 269, 1635, 9256, 2200, 267, 789, 666, 1683, 1732, 2533, 267, 2087, 5989, 267, 543, 3914, 811, 1004, 269, 1280, 1383, 267, 4952, 952, 1079, 1507, 1216, 3761, 3549, 24673, 282, 1927, 267, 789, 1223, 6488, 18960, 2029, 547, 2973, 1216, 811, 7561, 543, 2327, 10930, 6704, 1216, 585, 3025, 538, 519, 2146, 780, 4913, 267, 1175, 899, 1022, 1870, 3375, 267, 972, 616, 3652, 543, 6042, 538, 1747, 1354, 513, 32421, 610, 11601, 666, 1491, 1747, 269, 1452, 4031, 948, 2149, 6800, 267, 2061, 30049, 625, 267, 543, 3895, 14619, 1369, 6080, 269, 3204, 22399, 1590, 5402, 2689, 1169, 6069, 4308, 547, 2327, 922, 2640, 29387, 1761, 19363, 269, 1403, 9516, 267, 519, 9241, 4646, 11769, 814, 1569, 547, 2799, 3854, 267, 3850, 873, 547, 1902, 538, 9283, 543, 10124, 780, 3719, 945, 16976, 2436, 513, 32421, 4422, 4464, 610, 4991, 15653, 286, 2334, 5539, 8813, 2390, 2229, 8041, 3743, 585, 13327, 4370, 1585, 9922, 269, 1280, 3236, 267, 519, 8549, 6052, 27943, 8189, 21560, 954, 8063, 5201, 6455, 267, 2067, 3154, 17783, 2297, 267, 32394, 1379, 5108, 267, 543, 3282, 18180, 3928, 269, 3557, 862, 3827, 849, 1404, 2629, 5107, 538, 15725, 703, 2858, 622, 20848, 780, 1103, 3932, 267, 12388, 619, 543, 4203, 29792, 1851, 10626, 3549, 4125, 1950, 3157, 6322, 693, 5355, 2533, 543, 4398, 269, 2755, 891, 8852, 4324, 519, 3238, 9988, 267, 7453, 4808, 2291, 547, 16102, 7082, 4690, 543, 2226, 2635, 2344, 6384, 269, 4197, 891, 2035, 2636, 721, 547, 5660, 519, 2208, 540, 4213, 1472, 721, 543, 5431, 519, 1909, 5129, 676, 1876, 543, 7939, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2467, 949, 581, 5094, 1587, 2516, 21751, 538, 10697, 14104, 267, 682, 2084, 267, 11573, 3042, 14104, 267, 543, 1857, 14104, 269, 634, 1587, 2516, 949, 581, 3606, 6896, 2687, 547, 741, 9030, 3527, 610, 25584, 563, 4407, 519, 8273, 8492, 3622, 6023, 3677, 3091, 267, 1346, 9388, 616, 7864, 543, 20991, 1063, 982, 4130, 9388, 269, 4746, 267, 519, 4130, 5092, 12948, 3549, 1810, 1406, 723, 519, 1804, 16841, 12014, 540, 519, 4439, 613, 31455, 8492, 267, 543, 13604, 267, 7363, 6023, 8273, 7443, 19114, 689, 799, 547, 973, 20234, 1619, 5520, 269, 18391, 6619, 547, 2104, 4876, 8925, 267, 1995, 693, 835, 540, 519, 1292, 4439, 613, 31455, 8492, 3622, 4667, 6574, 593, 513, 16056, 267, 8806, 1813, 547, 519, 2140, 6284, 269, 1306, 519, 8760, 10522, 267, 891, 8492, 723, 13646, 610, 4238, 799, 616, 11658, 547, 267, 610, 693, 2547, 13671, 538, 267, 513, 1808, 1858, 540, 519, 2197, 269, 1323, 3236, 568, 513, 7147, 2861, 6140, 5092, 4871, 609, 513, 2582, 5604, 543, 7864, 982, 476, 736, 5520, 602, 14553, 20362, 631, 26031, 2709, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25219, 1006, 631, 1120, 619, 543, 21733, 29792, 257, 607, 851, 540, 834, 30311, 1315, 5398, 7780, 1988, 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, 0, 6092, 5149, 281, 7981, 9314, 21478, 543, 4750, 2065, 6715, 31772, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 1950, 16799, 1063, 2027, 1719, 2516, 267, 2923, 7881, 267, 543, 4760, 2065, 8699, 998, 519, 7828, 540, 513, 1808, 2013, 5473, 513, 772, 2529, 269, 6837, 1308, 11347, 267, 741, 2078, 609, 513, 25211, 626, 267, 543, 519, 6286, 585, 9086, 1373, 2808, 676, 741, 18322, 1308, 12233, 269, 901, 2013, 1353, 3091, 721, 606, 4316, 547, 4983, 1585, 3344, 540, 875, 4031, 616, 1500, 267, 5683, 9270, 585, 20859, 8989, 593, 971, 6927, 267, 543, 519, 1761, 1764, 540, 3768, 826, 3310, 593, 11180, 5238, 269, 1284, 786, 849, 2263, 519, 1523, 540, 13104, 4031, 543, 741, 4644, 538, 7863, 5191, 540, 519, 2046, 543, 3329, 894, 19761, 780, 296, 269, 5295, 995, 9314, 338, 543, 8889, 10435, 454, 288, 269, 20223, 2027, 4690, 692, 22492, 1719, 2516, 2874, 540, 3906, 5275, 547, 3895, 4507, 15028, 547, 741, 1880, 2014, 610, 2872, 269, 1452, 9988, 1419, 2308, 25211, 1235, 1765, 785, 1339, 338, 945, 946, 741, 6791, 543, 4296, 547, 12167, 585, 15424, 2962, 6225, 547, 741, 7218, 262, 3853, 269, 2755, 972, 616, 1082, 1134, 10784, 1549, 539, 543, 16048, 11051, 1369, 891, 16034, 267, 4145, 8451, 950, 7526, 540, 1719, 10836, 267, 5732, 18731, 519, 3375, 6194, 3157, 1898, 547, 9111, 780, 289, 269, 8865, 5530, 281, 11724, 894, 9291, 1744, 13831, 543, 32264, 11676, 3626, 692, 763, 7971, 4815, 2376, 8711, 513, 3510, 1141, 772, 2529, 269, 11724, 894, 9291, 1744, 13831, 630, 305, 268, 5183, 1070, 1287, 28579, 540, 519, 5600, 18815, 9730, 267, 15597, 31889, 2348, 513, 834, 29148, 4357, 543, 2123, 2078, 257, 609, 32264, 11676, 3626, 267, 513, 25211, 626, 8204, 5794, 6050, 585, 3013, 269, 2311, 519, 1482, 942, 267, 519, 12233, 729, 7722, 538, 5717, 827, 556, 10461, 1944, 519, 8549, 28645, 10029, 630, 293, 8150, 1040, 4014, 1100, 8763, 3652, 941, 26991, 2687, 547, 519, 5600, 15979, 15015, 267, 2055, 2611, 3823, 2436, 3768, 826, 3310, 5129, 513, 1909, 538, 5935, 674, 8150, 3609, 1813, 547, 713, 2123, 4276, 780, 2862, 269, 9012, 15979, 543, 26930, 454, 288, 269, 4762, 26555, 540, 1719, 692, 22711, 1235, 1590, 581, 21713, 1996, 4890, 543, 9228, 7526, 540, 1719, 602, 1223, 14207, 741, 2702, 547, 1867, 1843, 1947, 543, 8308, 269, 1879, 8720, 2984, 5473, 3532, 2043, 610, 3906, 267, 1065, 13024, 1058, 2057, 1256, 519, 5920, 540, 1561, 3064, 1214, 547, 2226, 17258, 609, 3988, 543, 13588, 780, 289, 269, 2598, 26918, 5288, 269, 2283, 1049, 1436, 692, 300, 4215, 19093, 3068, 2604, 547, 3666, 11413, 609, 3743, 8989, 2853, 269, 1234, 548, 2084, 1344, 827, 2123, 3347, 899, 1346, 4330, 538, 519, 2013, 1353, 666, 948, 1217, 9458, 282, 2705, 267, 3257, 865, 1510, 1697, 2796, 949, 3565, 547, 25127, 543, 25749, 2864, 982, 17766, 1769, 593, 1271, 2152, 7133, 1857, 10304, 780, 7656, 269, 27986, 4750, 2065, 17796, 543, 15213, 540, 519, 4964, 454, 288, 269, 1548, 616, 13104, 4031, 2496, 4537, 1752, 4031, 3277, 547, 29071, 2966, 547, 2149, 20859, 689, 1373, 25997, 547, 7866, 14804, 2959, 610, 2820, 592, 613, 6213, 1344, 5833, 1282, 3377, 326, 1430, 532, 2238, 269, 1452, 20038, 4268, 2066, 22875, 267, 609 ]

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

[ 2934, 11081, 267, 4758, 4473, 547, 519, 3954, 24231, 10851, 4478, 873, 630, 8993, 338, 269, 476, 277, 543, 476, 272, 321, 1040, 634, 6024, 6175, 540, 519, 2837, 5012, 547, 4389, 10688, 543, 8757, 540, 519, 11179, 4657, 25436, 4405, 566, 2175, 547, 1106, 22140, 1586, 267, 799, 2611, 1631, 4130, 1317, 540, 519, 4389, 595, 2173, 984, 1006, 269, 5381, 2621, 616, 7368, 2390, 2417, 8757, 540, 25436, 4405, 566, 2175, 543, 598, 1260, 26938, 7576, 566, 269, 901, 1576, 540, 2621, 666, 581, 7368, 1896, 2053, 267, 799, 666, 1267, 538, 1896, 7766, 5933, 540, 7576, 566, 543, 4061, 2491, 519, 9244, 26945, 6532, 7306, 607, 15069, 1459, 538, 8431, 269, 476, 277, 322, 269, 634, 3169, 4611, 19916, 786, 4096, 593, 513, 1950, 540, 2188, 971, 607, 3444, 3296, 543, 2470, 540, 519, 8919, 543, 519, 6534, 4494, 267, 18254, 2557, 540, 2802, 22005, 267, 3845, 689, 519, 8919, 267, 2557, 540, 9023, 267, 2450, 540, 519, 7720, 306, 959, 559, 9707, 10189, 267, 3092, 269, 634, 1184, 568, 24298, 538, 519, 20419, 540, 7612, 476, 278, 269, 589, 12343, 540, 713, 9183, 568, 602, 519, 2450, 540, 519, 22130, 10580, 666, 581, 6766, 676, 9013, 519, 9023, 1524, 18330, 269, 2334, 1058, 1291, 547, 1454, 10276, 327, 2331, 4630, 23189, 950, 519, 9023, 2557, 568, 22485, 269, 634, 1249, 602, 649, 6140, 1265, 954, 5632, 730, 10195, 5267, 602, 789, 616, 5687, 11946, 1227, 2484, 811, 15028, 982, 10195, 593, 1283, 540, 519, 2627, 269, 12769, 31531, 543, 538, 1880, 693, 3476, 18254, 2053, 267, 13421, 593, 1283, 540, 519, 2627, 616, 4646, 269, 4256, 3337, 543, 2497, 568, 20093, 1738, 267, 5310, 1813, 547, 519, 2139, 476, 274, 5232, 540, 5191, 267, 607, 666, 581, 2938, 538, 7612, 476, 279, 269, 7831, 855, 711, 2547, 649, 723, 7318, 519, 6617, 540, 891, 3889, 693, 19355, 2175, 269, 1284, 723, 6740, 513, 3732, 585, 827, 1079, 3275, 693, 19355, 2175, 269, 3816, 1046, 2406, 267, 1100, 7298, 2242, 941, 4767, 267, 519, 21536, 16558, 7283, 4625, 16856, 563, 2171, 723, 3177, 2963, 585, 519, 2208, 540, 1804, 630, 13367, 531, 30562, 4394, 538, 8006, 264, 22130, 21536, 16558, 1063, 7720, 306, 9212, 676, 3114, 11517, 18254, 540, 2802, 22005, 693, 476, 8517, 290, 269, 634, 22130, 21536, 16558, 723, 15866, 9764, 5546, 543, 666, 1332, 909, 547, 1896, 30562, 4394, 538, 8006, 269, 4256, 2208, 568, 7691, 676, 519, 954, 5632, 566, 540, 3327, 8444, 7933, 574, 619, 1282, 519, 18254, 1184, 543, 998, 12889, 267, 971, 607, 1900, 8728, 269, 634, 2497, 568, 19658, 676, 519, 17883, 540, 2802, 22005, 693, 19535, 4609, 540, 7720, 306, 971, 607, 7720, 268, 32558, 730, 1900, 8728, 269, 23113, 593, 1283, 540, 519, 7720, 306, 2627, 723, 1044, 849, 4767, 267, 855, 789, 616, 1360, 17077, 269, 901, 5267, 602, 621, 568, 10069, 13443, 15028, 585, 3327, 547, 954, 5632, 622, 538, 519, 7720, 306, 269, 3955, 5632, 566, 9259, 723, 1044, 5892, 4767, 1282, 519, 2208, 540, 1895, 268, 4353, 15373, 832, 593, 7720, 306, 1990, 28702, 1001, 277, 560, 24780, 6902, 586, 7776, 1001, 277, 29115, 1547, 1717, 267, 538, 891, 2090, 519, 954, 5632, 730, 2249, 1705, 711, 1106, 6366, 10195, 543, 519, 954, 5632, 566, 7271, 729, 711, 4857, 269, 3776, 1935, 9727, 519, 1463, 2208, 540, 22130, 19072, 24382, 10636, 739, 23461, 543, 533, 2314, 519, 1259, 4724, 519, 20185, 540, 2104, 476, 273, 291, 1570, 1759, 11418, 269, 4197, 519, 7576, 566, 543, 2208, 6127, 540, 891, 6106, 568, 606, 1271, 1900, 4724, 11938, 540, 519, 1184, 602, 666, 1291, 547, 2208, 540, 1804, 21536, 16558, 540, 22130, 610, 1256, 6024, 8874, 538, 1063, 519, 7720, 306, 9212, 269, 4279, 19349, 540, 519, 4630, 23189, 540, 519, 6532, 7306, 568, 4397, 689, 4824, 1852, 540, 519, 2837, 1282, 519, 9023, 1524, 1184, 269, 589, 2417, 1900, 1058, 581, 3144, 538, 1931, 547, 5372, 519, 13557, 7720, 306, 14041, 609, 513, 1906, 6106, 5394, 7720, 306, 26828, 799, 1223, 5512, 5730, 1852, 540, 519, 10636, 739, 4450, 11098, 543, 568, 3810, 14909, 585, 3926, 3156, 563, 763, 4589, 9684, 519, 10656, 9257, 585, 3194, 630, 301, 310, 302, 267, 5254, 310, 476, 14625, 4029, 264, 585, 2883, 1489, 563, 268, 630, 272, 264, 918, 269, 8734, 846, 21754, 267, 667, 269, 808, 21628, 267, 674, 269, 2480, 1117, 514, 267, 570, 269, 4425, 1054, 267, 966, 269, 10609, 582, 651, 341, 747, 267, 590, 269, 5651, 9926, 990, 267, 589, 269, 2983, 574, 267, 5565, 8820, 10570, 14848, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 269, 476, 9083, 630, 1789, 264, 630, 1220, 276, 264, 476, 10441, 7906, 1700, 10441, 7871, 563, 268, 630, 273, 264, 918, 269, 8734, 846, 21754, 267, 589, 269, 2983, 574, 267, 590, 269, 5651, 9926, 990, 267, 667, 269, 808, 21628, 267, 631, 269, 918, 1846, 333, 15625, 267, 594, 269, 717, 3419, 12929, 9366, 267, 590, 269, 14878, 517, 657, 267, 589, 269, 674, 597, 810, 341, 267, 5565, 8820, 3154, 540, 2527, 1652, 1019, 2350, 535, 1069, 687, 538, 22130, 267, 7186, 476, 275, 4343, 630, 3583, 277, 276, 264, 630, 1220, 276, 264, 476, 3192, 1700, 1220, 563, 268, 630, 274, 264, 918, 269, 8734, 846, 21754, 267, 589, 269, 2983, 574, 267, 590, 269, 5651, 9926, 990, 267, 667, 269, 808, 21628, 267, 962, 269, 18681, 267, 590, 269, 14878, 517, 657, 267, 594, 269, 717, 3419, 12929, 9366, 267, 589, 269, 674, 597, 810, 341, 267, 11272, 2361, 538, 11046, 1227, 6094, 3327, 8874, 267, 3163, 476, 27420, 630, 6321, 280, 277, 264, 630, 1220, 275, 264, 476, 26116, 1700, 5780, 280, 563, 268, 630, 275, 264, 631, 269, 2473, 340, 267, 570, 269, 9149, 836, 267, 631, 269, 26757, 267, 670, 269, 16441, 267, 717, 1905, 515, 928, 6438, 1079, 8820, 2326, 267, 6314, 269, 4860, 269, 476, 13647, 630, 276, 264, 630, 1001, 274, 264, 476, 4391, 277, 277, 1700, 4391, 280, 279, 563, 268, 630, 276, 264, 1627, 269, 670, 269, 15651, 267, 918, 269, 17833, 656, 541, 19053, 1228, 327, 267, 589, 269, 918, 529, 267, 808, 269, 715, 269, 23045, 2006, 267, 631, 269, 590, 269, 853, 3757, 334, 267, 22997, 543, 1904, 29741, 16361, 540, 1079, 8820, 5912, 4496, 27524, 531, 322, 4094, 1938, 267, 14844, 269, 15089, 1774, 577, 269, 476, 278, 630, 1556, 264, 630, 1001, 273, 264, 476, 277, 4200, 1700, 278, 1321, 563, 268, 630, 277, 264, 623, 269, 645, 2086, 537, 5894, 267, 681, 269, 11709, 6601, 5443, 267, 1627, 269, 962, 7776, 267, 645, 269, 7313, 12828, 2742, 267, 670, 269, 808, 269, 2098, 663, 341, 331, 2884, 267, 918, 269, 590, 582, 12847, 525, 267, 4347, 624, 13856, 5279, 3560, 543, 535, 1069, 328, 1377, 8930, 940, 538, 9923, 273, 270, 5471, 531, 17066, 267, 589, 5425, 10331, 269, 631, 831, 269, 3955, 5865, 476, 280, 630, 2420, 264, 630, 1001, 278, 264, 476, 4572, 4281, 1700, 4572, 10436, 563, 268, 630, 278, 264, 918, 269, 8734, 846, 21754, 267, 589, 269, 631, 880, 7770, 14150, 267, 589, 269, 2961, 1998, 14833, 267, 589, 269, 10011, 549, 4880, 334, 267, 476, 273, 323, 2326, 543, 8709, 3541, 3649, 1023, 10636, 739, 23461, 267, 3163, 476, 31874, 630, 277, 3066, 279, 1916, 268, 630, 279, 264, 589, 269, 2983, 574, 267, 594, 269, 717, 3419, 12929, 9366, 267, 11709, 3541, 3649, 1023, 10636, 739, 23461, 267, 7186, 476, 275, 4200, 630, 278, 3393, 280, 264, 630, 1001, 274, 264, 476, 275, 866, 1700, 28883, 563, 268, 630, 280, 264, 590, 269, 12794, 662, 267, 589, 269, 717, 3128, 27091, 267, 681, 269, 808, 531, 559, 267, 590, 269, 4936, 328, 267, 700, 269, 2826, 24274, 267, 667, 269, 18379, 553, 267, 918, 269, 8734, 846, 21754, 267, 700, 269, 623, 517, 558, 13873, 14150, 267, 589, 269, 2983, 574, 267, 681, 269, 717, 12643, 5995, 341, 267, 9061, 22891, 9196, 540, 1367, 6106, 543, 12617, 17103, 540, 22130, 2861, 10636, 739, 23461, 543, 2706, 331, 3430, 1182, 267, 14844, 269, 631, 831, 269, 476, 1556, 630, 280, 264, 630, 1001, 273, 264, 476, 278, 5038, 1700, 278, 6858, 563, 268, 630, 1015, 264, 700, 269, 623, 517, 558, 13873, 14150, 267, 589, 269, 2983, 574, 267, 589, 269, 11809, 4157, 990, 267, 681, 269, 808, 531, 559, 267, 590, 269, 5651, 9926, 990, 267, 918, 269, 8734, 846, 21754, 267, 594, 269, 717, 3419, 12929, 9366, 267, 661, 269, 10830, 267, 966, 269, 4258, 1014, 990, 267, 966, 269, 24415, 685, 14150, 267, 918, 269, 20242, 534, 23042, 267, 570, 269, 18000, 580, 1276, 328, 267, 681, 269, 717, 12643, 5995, 341, 267, 20658, 762, 4496, 15564, 15975, 5912, 538, 5595, 2000, 9707, 22130, 10636, 739, 23461, 267, 14844, 269, 4284, 563, 268, 630, 1556, 264, 570, 269, 9677, 328, 537, 267, 681, 269, 808, 531, 559, 267, 645, 269, 5617, 548, 267, 700, 269, 2826, 24274, 267, 681, 269, 717, 12643, 5995, 341, 267, 590, 269, 5651, 9926, 990, 267, 962, 11607, 297, 269, 13690, 267, 589, 269, 717, 3128, 27091, 267, 590, 269, 12794, 662, 267, 744, 269, 25120, 541, 990, 20391, 267, 700, 269, 661, 2314, 267, 700, 269, 623, 517, 558, 13873, 14150, 267, 589, 269, 2983, 574, 267, 918, 269, 8734, 846, 21754, 267, 589, 269, 631, 880, 7770, 14150, 267, 26432, 2361, 13716, 24923, 1759, 593, 22130, 2914, 338, 476, 273, 10636, 739, 23461, 585, 8465, 543, 12001, 11418, 267, 14844, 269, 15089, 1774, 577, 269, 476, 279, 630, 273, 264, 630, 1001, 274, 264, 476, 1911, 1700, 9818, 563, 268, 630, 1321, 264, 700, 269, 24204, 267, 962, 11607, 295, 269, 10557, 267, 2473, 269, 700, 532, 267, 661, 269, 16114, 657, 267, 962, 269, 1744, 514, 267, 962, 269, 6931, 267, 631, 269, 667, 4209, 344, 267, 661, 269, 918, 1314, 597, 553, 267, 808, 269, 15158, 267, 670, 269, 15651, 267, 570, 269, 6022, 659, 3930, 267, 717, 1905, 515, 928, 8276, 657, 273, 10316, 2029, 585, 1804, 8397, 1079, 8820, 11418, 267, 30594, 32731, 269, 476, 1691, 630, 277, 264, 630, 1001, 275, 264, 476, 25134, 276, 1700, 27420, 274, 563, 268, 630, 1724, 264, 623, 269, 645, 2086, 537, 5894, 267, 918, 269, 590, 582, 12847, 525, 267, 631, 269, 670, 269, 27119, 330, 2006, 267, 670, 269, 808, 269, 2098, 663, 341, 331, 2884, 267, 645, 269, 7313, 12828, 2742, 267, 717, 1905, 515, 928, 3308, 3278, 519, 9357, 3892, 593, 2011, 268, 2193, 8491, 544, 3821, 267, 2233, 269, 3115, 269, 476, 278, 630, 1001, 278, 264, 476, 275, 4097, 7906, 563, 268, 630, 1691, 264, 2473, 269, 667, 269, 670, 11607, 290, 269, 595, 269, 962, 269, 670, 269, 962, 10224, 20568, 267, 26637, 744, 269, 1284, 1170, 267, 2473, 269, 667, 10224, 267, 11709, 3541, 3649, 1023, 10636, 739, 23461, 543, 3457, 267, 14844, 269, 4860, 269, 631, 831, 269, 476, 272, 630, 8182, 5655, 1916, 268, 630, 1428, 264, 590, 269, 681, 739, 600, 11844, 267, 661, 269, 8935, 560, 16223, 1695, 267, 670, 269, 30110, 24739, 6953, 657, 572, 7236, 267, 645, 269, 14858, 2106, 714, 1228, 327, 267, 670, 269, 2473, 514, 267, 681, 269, 13198, 4302, 267, 31478, 512, 30802, 25694, 4055, 2837, 19842, 8015, 725, 22331, 903, 539, 676, 6462, 19073, 20543, 593, 22130, 12547, 267, 18280, 269, 2233, 269, 3353, 565, 269, 476, 277, 630, 1321, 264, 630, 1001, 277, 264, 476, 31404, 275, 1700, 31979, 274, 563, 268, 630, 1626, 264, 661, 269, 8935, 560, 16223, 1695, 267, 590, 269, 681, 739, 600, 11844, 267, 595, 15772, 1836, 27433, 9829, 4577, 3679, 6419, 22130, 12547, 281, 3171, 334, 287, 2998, 17376, 27940, 554, 607, 513, 3532, 10316, 18463, 585, 10282, 540, 967, 1794, 565, 2684, 11209, 1794, 6839, 337, 542, 525, 267, 808, 269, 7502, 1355, 28497, 2233, 269, 476, 275, 4281, 630, 1001, 277, 264, 476, 18231, 1700, 27868, 563, 268, 630, 1704, 264, 808, 269, 2473, 826, 267, 808, 269, 5842, 31712, 25286, 600, 698, 31381, 267, 667, 269, 10089, 332, 1662, 267, 623, 269, 10496, 638, 617, 267, 589, 269, 2677, 327, 335, 663, 324, 267, 918, 269, 20242, 534, 23042, 267, 570, 269, 18000, 580, 1276, 328, 267, 623, 269, 808, 541, 21034, 6953, 518 ]

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

[ 2081, 540, 454, 324, 908, 873, 269, 3962, 1032, 267, 4892, 2972, 811, 982, 476, 1321, 2929, 9748, 540, 454, 3080, 540, 519, 7887, 5571, 9840, 3823, 519, 16603, 568, 3843, 547, 454, 29664, 856, 799, 1426, 1895, 547, 1747, 621, 538, 269, 2368, 1745, 602, 519, 16603, 568, 454, 320, 10448, 1247, 1866, 616, 1175, 607, 2386, 602, 621, 568, 513, 4829, 269, 898, 4667, 454, 1729, 4096, 593, 799, 1895, 540, 1004, 596, 2307, 607, 547, 1018, 707, 2626, 786, 454, 2041, 269, 589, 4829, 568, 3989, 607, 519, 17580, 851, 689, 513, 9921, 15496, 2030, 563, 293, 8816, 568, 3335, 13881, 6151, 269, 1306, 972, 616, 1082, 2010, 540, 14274, 267, 596, 454, 15884, 1265, 930, 602, 6492, 607, 6653, 607, 13212, 267, 1247, 1866, 786, 581, 811, 454, 514, 1899, 609, 18717, 610, 31480, 267, 799, 616, 1634, 607, 5388, 563, 289, 582, 534, 1235, 3494, 602, 1022, 15123, 1506, 1570, 8720, 513, 6079, 610, 5452, 454, 5035, 5809, 513, 4829, 269, 29088, 2159, 584, 1235, 3180, 602, 513, 16603, 568, 513, 10448, 563, 763, 16603, 729, 1767, 547, 581, 513, 4829, 2394, 3735, 538, 519, 476, 5197, 271, 338, 865, 621, 1223, 454, 28300, 1373, 3454, 539, 269, 1717, 267, 513, 15194, 676, 519, 10966, 7040, 4957, 621, 547, 454, 320, 10448, 865, 602, 9204, 1223, 581, 6394, 689, 621, 563, 2691, 596, 2015, 519, 4277, 1686, 540, 519, 16603, 2059, 609, 454, 1080, 8949, 6492, 267, 2436, 621, 568, 513, 4829, 540, 513, 10448, 568, 2731, 711, 454, 810, 1271, 1310, 782, 269, 0, 3674, 320, 659, 17125, 2421, 630, 20103, 476, 1556, 267, 476, 11260, 271, 1107, 5147, 476, 1240, 267, 476, 9264, 277, 264, 729, 519, 1101, 543, 11359, 17135, 540, 17996, 543, 6039, 538, 519, 1533, 9777, 2137, 540, 9098, 543, 3345, 10491, 269, 1261, 729, 849, 513, 17199, 538, 7083, 14480, 3467, 781, 2782, 267, 519, 21829, 2782, 267, 543, 519, 2782, 540, 476, 8687, 273, 269, 2755, 17294, 267, 646, 13948, 3366, 519, 17996, 17740, 807, 538, 519, 11135, 540, 519, 774, 1868, 267, 606, 2962, 602, 729, 30039, 609, 513, 6837, 1308, 7108, 29274, 269, 4032, 625, 538, 8370, 2829, 267, 543, 1896, 4872, 543, 4108, 13279, 267, 723, 1044, 3957, 538, 1010, 8956, 269, 3571, 23816, 1145, 585, 3627, 16299, 8657, 781, 634, 23068, 14576, 568, 5156, 547, 581, 519, 2601, 17996, 7550, 519, 1533, 2138, 1729, 834, 18197, 649, 1796, 267, 5258, 649, 2887, 8487, 3674, 320, 659, 17125, 2421, 729, 4535, 538, 519, 19435, 540, 15930, 593, 5412, 476, 1556, 267, 476, 11260, 271, 267, 2282, 670, 4526, 560, 1144, 538, 19291, 630, 852, 6115, 264, 6019, 269, 1261, 729, 519, 3791, 1126, 543, 2034, 5067, 540, 5345, 534, 543, 2913, 527, 807, 630, 290, 2135, 264, 17125, 2421, 267, 945, 6294, 3603, 689, 570, 2958, 16336, 267, 12986, 267, 538, 476, 15876, 276, 269, 2991, 1010, 2069, 693, 2199, 3506, 267, 17125, 2421, 5249, 593, 1010, 4651, 781, 8690, 566, 267, 543, 12212, 1336, 960, 607, 513, 5619, 528, 269, 17125, 2421, 781, 4651, 4503, 513, 1390, 4308, 540, 2724, 950, 30716, 13519, 781, 31052, 542, 22314, 1010, 29988, 9663, 4123, 1870, 267, 543, 1079, 1296, 2663, 267, 519, 1870, 262, 5638, 941, 10032, 538, 513, 2777, 3595, 269, 9182, 538, 5412, 476, 10082, 271, 267, 519, 1920, 6410, 547, 519, 1858, 2282, 30290, 267, 17906, 267, 1141, 789, 3710, 513, 6830, 543, 513, 9467, 2022, 269, 3371, 267, 17125, 2421, 543, 1010, 4651, 5249, 585, 1614, 1296, 1200, 3429, 12418, 563, 306, 3559, 2421, 781, 4108, 3028, 3459, 950, 646, 6039, 607, 2034, 2987, 268, 12252, 547, 1010, 4651, 693, 519, 11135, 540, 8672, 20167, 9586, 267, 519, 1152, 2101, 6370, 540, 7083, 14480, 3467, 781, 2782, 269, 1261, 6591, 519, 10639, 540, 606, 4274, 18137, 2006, 543, 5619, 528, 267, 543, 6170, 519, 2038, 851, 540, 519, 21829, 2782, 11018, 7727, 585, 519, 25550, 8136, 269, 13536, 538, 519, 2112, 267, 646, 543, 3627, 1530, 22609, 3366, 30295, 936, 519, 29630, 1014, 15142, 1996, 519, 3703, 4229, 538, 3345, 10491, 269, 1261, 5129, 513, 11358, 1909, 538, 519, 3703, 14710, 693, 519, 11135, 540, 3751, 781, 13738, 269, 1280, 1010, 3028, 267, 646, 729, 4843, 609, 513, 30060, 18156, 543, 513, 6292, 540, 16537, 11169, 676, 519, 3345, 10491, 23328, 267, 543, 519, 28215, 834, 24874, 3751, 781, 13738, 257, 4553, 1864, 519, 1964, 540, 1010, 1272, 563, 16729, 519, 2112, 267, 17125, 2421, 882, 11343, 547, 17996, 593, 3338, 13752, 547, 1864, 585, 1010, 4108, 3028, 543, 2968, 3238, 538, 17996, 781, 5912, 689, 513, 10315, 1993, 9098, 547, 606, 4830, 1533, 269, 3571, 5869, 1143, 1500, 1864, 2442, 609, 519, 4961, 540, 519, 1533, 267, 543, 519, 1533, 21146, 2852, 796, 29434, 3585, 11221, 1864, 17294, 538, 476, 9692, 273, 269, 1261, 17956, 519, 1533, 689, 4095, 6285, 543, 6896, 922, 1101, 2229, 269, 1261, 11573, 3042, 519, 18299, 523, 2637, 564, 26035, 547, 18609, 519, 6115, 7245, 547, 1118, 606, 6876, 609, 519, 5053, 585, 1863, 4123, 593, 519, 14967, 5211, 563, 4263, 519, 1439, 540, 1010, 1368, 828, 333, 31247, 2165, 267, 17125, 2421, 19622, 689, 1857, 1272, 267, 855, 646, 729, 1572, 1394, 883, 6214, 676, 519, 31587, 2782, 540, 476, 8687, 273, 269, 13573, 3089, 2103, 24016, 306, 3559, 2421, 547, 2196, 585, 17294, 1586, 543, 1291, 873, 998, 519, 17191, 4655, 269, 1261, 729, 11221, 3362, 267, 543, 693, 519, 7662, 540, 4937, 5261, 8361, 26858, 267, 26017, 10136, 689, 17996, 693, 519, 11135, 540, 519, 774, 1868, 269, 2311, 519, 3932, 540, 519, 2112, 267, 646, 17379, 5518, 6276, 3933, 19172, 781, 2709, 547, 1831, 14199, 540, 2782, 269, 769, 1010, 2063, 957, 540, 1857, 3028, 267, 646, 543, 12448, 12722, 19500, 607, 10243, 619, 547, 21907, 519, 12722, 27619, 689, 519, 19529, 553, 1177, 4095, 14316, 269, 1325, 2819, 513, 15713, 4759, 540, 519, 17996, 6426, 5980, 267, 17125, 2421, 931, 5034, 547, 4196, 607, 13030, 25535, 1211, 540, 519, 1715, 1977, 6426, 5980, 538, 476, 8687, 277, 269, 1261, 729, 513, 21705, 4759, 540, 8355, 6807, 3465, 2421, 614, 1014, 5939, 267, 855, 538, 476, 8687, 277, 267, 3710, 513, 1507, 562, 1180, 523, 7631, 1049, 5939, 593, 1010, 3959, 269, 1261, 849, 6039, 607, 519, 1101, 7022, 540, 519, 17996, 16581, 5980, 538, 476, 8687, 279, 267, 543, 729, 28579, 540, 519, 1101, 8274, 540, 11565, 4315, 540, 10418, 5441, 538, 476, 8687, 280, 269, 17125, 2421, 5747, 693, 1010, 10040, 538, 12493, 6019, 267, 17996, 267, 593, 5147, 476, 1240, 267, 476, 9264, 277, 269, 0, 293, 2393, 17148, 589, 19053, 454, 6624, 1004, 723, 4810, 519, 1928, 540, 3824, 3497, 547, 523, 5661, 269, 1358, 2049, 950, 519, 7944, 610, 2427, 540, 513, 547, 523, 841, 9428, 883, 519, 2571, 17145, 540, 519, 23179, 267, 1034, 1419, 519, 2462, 23179, 269, 16016, 3497, 547, 523, 5661, 666, 2014, 1928, 267, 11926, 267, 25017, 543, 3006, 3968, 269, 4340, 547, 519, 476, 1001, 273, 2817, 14272, 2657, 10495, 5342, 676, 519, 715, 11520, 6828, 585, 519, 4659, 585, 16473, 633, 14272, 2657, 267, 476, 1240, 2600, 540, 772, 2529, 269, 4079, 2085, 476, 2641, 543, 4587, 630, 2412, 2929, 1004, 264, 723, 4810, 3824, 3497, 547, 523, 5661, 563, 29493, 1154, 519, 547, 523, 5661, 1932, 2110, 543, 5924, 711, 5969, 873, 2786, 2066, 568, 519, 1034, 1455, 2014, 540, 3824, 3497, 547, 523, 5661, 269, 6271, 1455, 2014, 568, 10887, 602, 616, 1932, 2110, 610, 602, 3514, 1932, 17401, 543, 14771, 519, 19462, 1927, 269, 4658, 4171, 19462, 616, 29099, 17208, 616, 12155, 547, 2348, 3824, 3497, 547, 523, 5661, 269, 1358, 666, 849, 581, 1813, 547, 8194, 610, 5945, 547, 519, 23179, 610, 519, 547, 523, 841, 563, 7093, 3685, 543, 9615, 454, 7709, 293, 295, 5267, 519, 1655, 1259, 547, 2061, 3824, 3497, 547, 523, 5661, 538, 1004, 609, 2635, 3952, 568, 547, 2759, 519, 18969, 2786, 2066, 267, 855, 711, 1932, 2110, 267, 543, 547, 21066, 13217, 1022, 8325, 8728, 609, 606, 900, 2044, 4604, 610, 2973, 4496, 3758, 269, 23203, 1152, 5265, 5697, 543, 19034, 267, 607, 851, 540, 606, 7471, 1935, 267, 14950, 4765, 26852, 609, 10887, 609, 1875, 1606, 28309, 16080, 3421, 543, 1022, 7696, 338, 610, 9647, 18352, 11311, 610, 5227, 676, 513, 4387, 610, 3723, 1072, 3318, 269, 25398, 24595, 267, 3370, 2090, 723, 3254, 602, 9849, 24802, 7318, 14950, 4765, 26852, 666, 948, 2149, 1996, 7063, 547, 519, 2960, 270, 7809, 5160, 540, 519, 3723, 1813, 547, 1764, 267, 2604, 543, 19852, 4229, 269, 1635, 4543, 547, 2061, 7050, 2604, 593, 519, 2062, 20584, 543, 19462, 267, 789, 2569, 519, 10171, 602, 519, 547, 523, 5661, 786, 581, 22125, 1932, 5702, 1927, 563, 2252, 596, 723, 606, 3824, 3497, 547, 523, 841, 267, 27653, 707, 3952, 538, 3636, 1216, 585, 476, 1428, 547, 476, 736, 3764, 1896, 2053, 513, 1554, 269, 901, 6971, 11926, 543, 17212, 1407, 31926, 563, 2252, 596, 723, 513, 5594, 3824, 3497, 17970, 630, 1042, 543, 11213, 855, 609, 1100, 11166, 1070, 11093, 10412, 896, 519, 6316, 540, 519, 17970, 547, 5094, 621, 689, 519, 2960, 666, 1683, 8323, 269, 2422, 513, 2973, 3758, 547, 12740, 519, 17970, 909, 5594, 2476, 689, 519, 2960, 269, 901, 2337, 519, 17970, 547, 1332, 1394, 1657, 519, 6316, 540, 519, 2960, 269, 2422, 4568, 547, 2973, 572, 519, 1858, 1354, 543, 26063, 563, 2252, 596, 723, 25017, 267, 1928, 543, 10669, 267, 707, 10629, 610, 10540, 9332, 2077, 949, 16013, 610, 4894, 519, 3824, 3497, 6712, 540, 519, 17970, 269, 1280, 5312, 2665, 267, 707, 4387, 949, 2303, 9427, 513, 6712, 540, 519, 547, 523, 841, 1927, 609, 519, 5817, 5160, 630, 333, 841, 5127, 264, 547, 2061, 602, 851, 540, 519, 17970, 689, 3395, 1394, 269, 901, 5650, 568, 1419, 2944, 609, 3114, 267, 8955, 610, 824, 7344, 5773, 563, 2252, 596, 1995, 4049, 9636, 538, 519, 23179, 267, 543, 5924, 1294, 4191, 602, 10669, 610, 25017, 3100, 547, 581, 10825, 267, 707, 3824, 3497, 547, 523, 841, 1522, 581, 7783, 269, 898, 779, 942, 547, 1294, 707, 4387, 269, 19382, 796, 3430, 2105, 267, 3968, 666, 3262, 1369, 519, 3723, 543, 883, 519, 7633, 563, 10144, 609, 3987, 543, 5924, 29302, 610, 19847, 10009, 538, 519, 3952, 1058, 2760, 3801, 547, 1521, 3824, 3497, 547, 523, 5661, 610, 1022, 824, 3723, 2152, 593, 741, 1378, 855, 1058, 1294, 513, 10629, 585, 782, 3723, 2152, 269, 0, 7419, 4353, 8991, 14510, 5508, 570, 3036, 2177, 15674, 267, 11404, 2793, 6395, 281, 12824, 689, 519, 2160, 540, 17842, 267, 2160, 540, 12370, 543, 31089, 7970, 2160, 723, 1336, 513, 1259, 547, 2697, 519, 968, 22855, 1377, 31937, 892, 2451, 676, 513, 1880, 6656, 540, 4672, 1107, 543, 7654, 5512, 513, 811, 5730, 7447, 540, 922, 1764, 593, 2518, 4262, 2157, 267, 513, 1883, 2268, 540, 2518, 8337, 563, 2026, 519, 3047, 779, 2916, 2112, 916, 267, 513, 13621, 4672, 6656, 7472, 513, 3982, 543, 3810, 1875, 10595, 6134, 4806, 540, 4262, 7400, 1689, 267, 609, 4262, 1377, 9991, 2673, 547, 519, 13621, 4672, 6656, 543, 8375, 24482, 20991, 2476, 269, 634, 4806, 585, 1142, 4672, 6656, 568, 2189, 543, 568, 1634, 607, 922, 4262, 1377, 31937, 563, 4322, 4681, 1683, 513, 1007, 1505, 547, 10646, 4262, 7400, 9416, 21646, 538, 3140, 5638, 540, 4262, 2157, 267, 689, 824, 3157, 971, 607, 5836, 6329, 267, 29500, 267, 2242, 538, 5836, 10009, 267, 543, 8143, 7269, 540, 519, 5836, 269, 12207, 1472, 519, 1158, 616, 3843, 547, 7447, 1312, 519, 1699, 2557, 540, 4262, 1377, 4473, 543, 519, 3928, 540, 4672, 6656, 13621, 267, 543, 2943, 2370, 960, 814, 1044, 2944, 547, 9192, 519, 1079, 2042, 543, 2626, 891, 2055, 8195, 269, 12824, 689, 519, 29550, 540, 17842, 267, 12370, 543, 31089, 7970, 8179, 856, 8579, 2553, 602, 1185, 711, 5892, 1044, 4294, 547, 713, 1966, 267, 543, 3459, 3384, 519, 1007, 1505, 1210, 1239, 2079, 2553, 1455, 538, 824, 4610, 971, 607, 4702, 2257, 267, 9297, 267, 543, 14368, 1108, 269, 634, 3173, 1287, 7318, 543, 15568, 519, 1505, 676, 7311, 621, 547, 10991, 1239, 5036, 269, 634, 4255, 1683, 1271, 5583, 585, 519, 3498, 540, 519, 1505, 547, 4890, 4262, 7400, 5638, 563, 347, 1103, 3685, 1475, 6124, 1505, 547, 2697, 4262, 1377, 9416, 16493, 2008, 347 ]

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

[ 267, 20909, 267, 543, 3552, 669, 24075, 656, 1335, 636, 269, 3962, 12146, 4249, 513, 2629, 1909, 281, 13397, 528, 823, 2337, 865, 6139, 8886, 730, 31462, 1846, 282, 717, 5424, 2112, 916, 909, 519, 1560, 543, 6971, 6553, 282, 932, 24075, 656, 1335, 636, 1579, 1513, 3002, 543, 17212, 1407, 17219, 269, 8625, 267, 891, 1614, 2609, 1106, 513, 3532, 11100, 602, 7028, 7929, 1072, 543, 10970, 28179, 30414, 11522, 338, 780, 3719, 7227, 267, 972, 781, 811, 256, 9894, 596, 917, 602, 4457, 16909, 4915, 3884, 1405, 1152, 5363, 585, 3425, 855, 2831, 1932, 286, 8786, 267, 8197, 256, 26478, 538, 3624, 1419, 2490, 547, 891, 2085, 6040, 2853, 547, 1832, 741, 13184, 2635, 543, 14762, 269, 1924, 1985, 942, 596, 3643, 513, 3484, 267, 4605, 3025, 910, 1519, 16933, 267, 17944, 267, 14918, 267, 543, 23161, 910, 30364, 689, 519, 1482, 8797, 543, 8748, 1158, 540, 4457, 11922, 2439, 3086, 596, 1522, 4898, 952, 971, 2025, 2409, 1869, 960, 2221, 9624, 782, 519, 4359, 4066, 543, 1007, 8906, 269, 4270, 267, 1082, 1004, 3494, 789, 798, 1317, 789, 1294, 2318, 2164, 20250, 269, 5047, 267, 3173, 5001, 3136, 4974, 519, 7145, 540, 1367, 11922, 1031, 538, 4457, 4915, 267, 2417, 4570, 908, 741, 1761, 2640, 780, 1103, 3932, 267, 4457, 16909, 4915, 3091, 721, 606, 10578, 19214, 883, 1686, 1247, 3246, 4052, 3156, 585, 5009, 1072, 543, 8516, 269, 2060, 922, 8561, 593, 13326, 6587, 4229, 1369, 938, 4703, 543, 19713, 519, 1379, 540, 2470, 267, 713, 3504, 7067, 1148, 3788, 4143, 1256, 538, 2221, 781, 3728, 19550, 267, 1164, 24289, 1158, 269, 5808, 6487, 286, 9320, 835, 1554, 267, 9358, 786, 1831, 5461, 538, 1565, 811, 827, 4457, 11922, 543, 4687, 741, 11580, 609, 1866, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18131, 779, 1072, 267, 12680, 6791, 543, 1489, 454, 19185, 585, 12680, 1489, 888, 296, 6557, 1934, 547, 948, 454, 8005, 993, 594, 888, 296, 4076, 1044, 4543, 2021, 609, 1072, 543, 12680, 2152, 998, 1250, 6791, 538, 22591, 543, 2757, 4457, 4915, 585, 3592, 476, 736, 1296, 563, 296, 6557, 1934, 547, 948, 596, 609, 782, 3344, 540, 2021, 779, 1072, 543, 17441, 4145, 269, 3245, 12680, 547, 6379, 267, 2022, 31691, 6051, 547, 22797, 267, 543, 3564, 269, 25417, 3388, 689, 18492, 1928, 267, 14331, 267, 2566, 267, 4160, 267, 543, 3207, 4145, 269, 594, 666, 849, 948, 609, 5256, 12680, 2152, 1210, 2963, 2861, 5574, 547, 2087, 5033, 523, 2298, 543, 7274, 563, 296, 6594, 585, 513, 2947, 4458, 645, 9928, 630, 295, 976, 264, 4110, 538, 2757, 4457, 4915, 7836, 3670, 3275, 538, 19864, 2866, 538, 1079, 540, 519, 2749, 779, 3450, 10506, 267, 1141, 594, 849, 4607, 513, 25328, 540, 6925, 543, 723, 1044, 9750, 1250, 1702, 543, 2866, 2479, 2094, 563, 7069, 4282, 814, 1044, 15866, 538, 519, 1858, 540, 12680, 543, 10001, 293, 543, 723, 6170, 519, 2063, 476, 1240, 1296, 4543, 15185, 1035, 4592, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24336, 4173, 4472, 6925, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 4173, 4472, 5709, 725, 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, 0, 8080, 547, 11473, 10794, 5525, 256, 5620, 596, 2479, 9289, 875, 3381, 3756, 616, 2813, 543, 1018, 2306, 873, 2442, 286, 2107, 6148, 596, 4312, 4862, 827, 1004, 1210, 1750, 1846, 538, 3756, 543, 4941, 547, 917, 811, 827, 1946, 602, 1522, 581, 15673, 532, 286, 4270, 267, 596, 2811, 538, 519, 1318, 1747, 256, 2913, 781, 4685, 883, 519, 1158, 540, 11080, 543, 2263, 922, 1764, 593, 938, 2528, 780, 5575, 267, 1577, 781, 2911, 827, 3381, 3014, 1646, 269, 5994, 2870, 513, 2898, 1007, 7122, 4904, 609, 3197, 267, 2591, 267, 543, 9035, 256, 2334, 781, 1018, 3014, 9367, 798, 1169, 1554, 269, 1358, 946, 5752, 4654, 543, 1374, 2645, 547, 1628, 10600, 1141, 5716, 666, 9101, 4641, 543, 1831, 12325, 269, 1717, 267, 3384, 513, 3811, 3014, 3217, 942, 267, 4674, 267, 543, 2724, 1107, 1175, 899, 2679, 513, 1483, 3734, 11442, 4558, 2407, 540, 1187, 26208, 2439, 3086, 267, 4952, 1373, 2111, 547, 1205, 1346, 3579, 9162, 585, 1863, 610, 1256, 18846, 519, 3652, 540, 519, 4558, 269, 2368, 1004, 2119, 547, 1265, 2081, 1472, 9878, 585, 3756, 676, 1210, 1945, 1572, 834, 3832, 1846, 1701, 4258, 908, 1522, 3100, 20027, 267, 855, 621, 2965, 5540, 824, 5716, 945, 1246, 519, 3652, 543, 2628, 585, 741, 3688, 25473, 269, 898, 849, 5222, 3014, 15888, 945, 7048, 593, 6455, 547, 2508, 2104, 3785, 269, 1924, 1247, 4466, 31930, 949, 3280, 13267, 267, 3314, 602, 3025, 19262, 14619, 543, 2463, 267, 2436, 538, 513, 5691, 1158, 610, 519, 1483, 835, 780, 9202, 267, 1577, 781, 1865, 3466, 538, 519, 11080, 2872, 269, 3807, 899, 6752, 610, 2575, 267, 972, 616, 535, 6758, 538, 11080, 1932, 256, 1280, 1383, 267, 1705, 596, 917, 602, 1978, 2010, 540, 3756, 2744, 8560, 3533, 1152, 547, 28201, 2476, 2663, 286, 901, 7613, 1419, 4386, 1813, 547, 4657, 2029, 610, 6345, 7375, 269, 1635, 4974, 3270, 936, 942, 267, 3173, 4126, 547, 3589, 1018, 32266, 1616, 1985, 543, 1711, 1732, 2833, 585, 3025, 780, 7661, 267, 1577, 781, 4983, 875, 3381, 3756, 3310, 2486, 269, 10632, 4001, 3407, 1983, 971, 607, 1966, 6061, 267, 16542, 267, 543, 5876, 269, 24812, 1451, 998, 4693, 543, 5470, 267, 1818, 3664, 602, 1860, 4093, 1369, 519, 3014, 269, 1452, 4245, 666, 14377, 547, 1483, 1272, 3871, 267, 4543, 3214, 1020, 2565, 3206, 5759, 543, 6043, 269, 3958, 267, 2228, 2950, 4646, 1472, 1808, 3756, 6536, 4296, 1063, 2043, 2066, 1114, 10080, 543, 6753, 267, 5009, 4763, 543, 13784, 780, 1103, 3932, 267, 3381, 3756, 616, 1454, 811, 982, 6071, 9913, 282, 789, 2099, 606, 9687, 1106, 540, 1148, 267, 1870, 267, 543, 1514, 5872, 269, 1306, 3743, 3059, 4961, 267, 1620, 519, 10848, 3297, 713, 4241, 5420, 2636, 721, 547, 5660, 922, 1871, 543, 6330, 922, 1761, 25354, 20617, 269, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 3300, 10880, 2518, 18086, 4647, 1863, 31376, 454, 2005, 6140, 4465, 1406, 10131, 693, 3781, 855, 3006, 1282, 519, 1554, 607, 1134, 269, 1548, 1284, 5213, 1406, 281, 15020, 7199, 267, 6552, 26717, 909, 9416, 21646, 269, 7591, 5503, 4855, 856, 1018, 4523, 950, 29871, 779, 2476, 543, 9162, 6430, 547, 723, 930, 1404, 5503, 256, 12846, 729, 1018, 649, 2877, 585, 513, 3781, 1310, 513, 13447, 865, 602, 729, 21453, 585, 721, 269, 2201, 519, 5032, 621, 610, 1801, 873, 22856, 616, 2451, 1586, 1282, 782, 561, 685, 1032, 269, 8241, 2777, 5777, 9782, 9244, 3448, 547, 26038, 543, 10519, 338, 1282, 519, 3735, 521, 543, 2038, 521, 2705, 267, 689, 547, 519, 3902, 547, 4747, 5223, 543, 3902, 547, 10519, 5223, 723, 1312, 7283, 9425, 11931, 267, 609, 2777, 5777, 9477, 4747, 543, 10519, 2208, 1282, 602, 8717, 269, 1656, 789, 786, 18214, 909, 519, 14282, 1843, 267, 899, 713, 16405, 540, 6371, 1934, 269, 1809, 1745, 1863, 1039, 707, 1378, 6436, 827, 891, 2621, 952, 621, 2337, 2626, 513, 2243, 269, 674, 7568, 5069, 729, 513, 7141, 1402, 31561, 689, 2394, 267, 1634, 607, 3627, 5500, 674, 7568, 5069, 269, 4279, 3028, 543, 2731, 7874, 5234, 602, 5749, 1406, 10669, 1506, 267, 799, 568, 513, 2462, 9578, 585, 803, 256, 634, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21581, 10794, 5525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15019, 9177, 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, 0, 4495, 2390, 513, 942, 538, 519, 1507, 4884, 540, 623, 6955, 6807, 267, 3025, 5249, 693, 1079, 2462, 15327, 910, 22500, 995, 2107, 577, 731, 267, 1141, 789, 8057, 8949, 5613, 267, 543, 7822, 881, 667, 6614, 7577, 267, 799, 1500, 4190, 4778, 269, 2353, 519, 3885, 941, 6126, 1317, 789, 1185, 1434, 6009, 543, 2614, 2724, 547, 2661, 20354, 780, 3080, 1554, 267, 1945, 6397, 5949, 269, 589, 1007, 8798, 1572, 7605, 334, 300, 6033, 729, 5189, 267, 2870, 11608, 602, 1223, 4584, 5613, 5488, 982, 3425, 543, 3575, 24470, 9985, 1510, 1022, 9073, 256, 17652, 267, 1312, 15327, 3323, 1210, 891, 3608, 6191, 3079, 540, 1480, 4600, 269, 3509, 1004, 4503, 741, 6009, 543, 6410, 856, 540, 623, 6955, 6807, 547, 1265, 824, 4025, 609, 960, 3255, 780, 288, 2186, 10196, 3957, 3220, 269, 27910, 548, 5030, 538, 623, 6955, 6807, 1932, 269, 2701, 7691, 602, 1200, 12543, 2877, 948, 1620, 1946, 713, 1689, 7018, 865, 1352, 6896, 513, 2146, 5870, 269, 2311, 519, 11018, 267, 3220, 269, 27910, 548, 6045, 875, 2029, 666, 3006, 1291, 547, 12957, 267, 1818, 3157, 18334, 855, 849, 13868, 1978, 6009, 2899, 4371, 676, 3425, 269, 2701, 1767, 267, 834, 1607, 7613, 3884, 1405, 3983, 282, 621, 1175, 1797, 649, 991, 547, 3082, 543, 1451, 1007, 1983, 3010, 7804, 269, 27910, 548, 1287, 4956, 547, 4001, 1863, 8193, 5049, 547, 948, 1200, 2828, 5965, 585, 2104, 6639, 7760, 269, 2060, 1200, 5583, 267, 930, 11570, 1336, 11678, 5883, 1346, 1360, 1482, 11608, 1247, 1866, 2968, 3301, 9367, 8888, 3292, 899, 7605, 334, 300, 6033, 3294, 269, 19759, 569, 267, 1498, 267, 1256, 1310, 782, 1200, 3646, 267, 623, 6955, 6807, 7948, 1405, 22919, 922, 3312, 2551, 1813, 547, 519, 4028, 10593, 4547, 827, 676, 2029, 780, 7437, 713, 1995, 267, 3025, 4121, 3407, 4245, 827, 6043, 267, 9542, 267, 543, 6024, 1565, 269, 1358, 4362, 602, 1247, 2257, 6770, 1082, 13300, 267, 621, 849, 6799, 2591, 8506, 8112, 543, 5647, 269, 1656, 1034, 11932, 267, 789, 6956, 602, 950, 5185, 609, 14488, 267, 1927, 1145, 543, 1702, 666, 17362, 519, 1259, 2509, 17321, 20030, 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, 3674, 972, 513, 18476, 6521, 538, 519, 2816, 2344, 538, 6755, 531, 602, 1223, 723, 8329, 547, 519, 2242, 538, 2551, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 519, 1034, 2487, 7194, 593, 519, 2816, 2344, 538, 6755, 531, 269, 1717, 267, 621, 568, 2009, 602, 2242, 538, 519, 2816, 2344, 267, 971, 607, 519, 19479, 610, 6679, 540, 2101, 12820, 267, 1223, 1764, 519, 2551, 540, 519, 1858, 269, 1403, 972, 568, 1447, 7694, 3255, 267, 1004, 949, 1847, 2476, 538, 3406, 540, 1732, 2816, 16548, 267, 3056, 547, 513, 6175, 538, 2551, 269, 17957, 267, 952, 972, 616, 811, 2816, 3255, 267, 972, 949, 581, 606, 27614, 540, 1004, 3001, 883, 519, 1858, 267, 4611, 538, 606, 2333, 538, 2551, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 476, 1015, 269, 9045, 529, 325, 625, 547, 519, 3830, 281, 630, 313, 910, 2473, 264, 2473, 815, 630, 313, 910, 962, 264, 962, 267, 543, 519, 3375, 1341, 2098, 815, 1341, 2473, 1341, 962, 815, 1341, 630, 311, 1341, 962, 1916, 18204, 619, 910, 2098, 2874, 540, 7681, 540, 476, 273, 9981, 910, 2473, 910, 1256, 543, 910, 962, 910, 9642, 267, 543, 25389, 547, 519, 3830, 281, 630, 313, 1341, 2473, 264, 2473, 815, 630, 313, 1341, 962, 264, 962, 267, 543, 519, 3375, 910, 2098, 815, 910, 2473, 910, 962, 815, 910, 630, 311, 1341, 962, 1916, 933, 4024, 2638, 3664, 912, 263, 313, 910, 2473, 264, 2473, 815, 630, 313, 910, 962, 264, 962, 267, 1141, 2098, 815, 1341, 2473, 1341, 962, 267, 22791, 2473, 1341, 962, 910, 2473, 264, 2473, 815, 630, 311, 1341, 962, 25286, 264, 962, 282, 1341, 311, 312, 815, 1341, 311, 312, 563, 263, 313, 1341, 2473, 264, 2473, 815, 630, 313, 1341, 962, 264, 962, 267, 1141, 2098, 815, 910, 2473, 910, 962, 267, 11196, 2473, 910, 962, 1341, 2473, 264, 2473, 815, 11196, 2473, 910, 962, 1341, 962, 264, 962, 267, 910, 2473, 312, 815, 910, 2473, 312, 563, 9288, 753, 267, 1341, 2098, 815, 1341, 2473, 1341, 962, 815, 1341, 476, 1015, 267, 1341, 2098, 815, 1341, 311, 312, 815, 1839, 282, 910, 2098, 815, 910, 2473, 910, 962, 815, 910, 476, 1015, 267, 2098, 815, 2473, 312, 815, 1839, 563, 14707, 1080, 2874, 540, 476, 276, 9642, 543, 476, 276, 9642, 2338, 267, 543, 476, 273, 910, 7857, 2338, 476, 2004, 9642, 543, 476, 2004, 1256, 269, 476, 273, 910, 7857, 2338, 5956, 609, 476, 876, 543, 2501, 547, 606, 1439, 476, 4200, 543, 972, 568, 476, 1015, 628, 3203, 269, 476, 273, 815, 1015, 383, 369, 1015, 543, 547, 2015, 519, 476, 272, 560, 2540, 815, 476, 1911, 1296, 563, 1993, 4518, 540, 2338, 568, 13761, 676, 6498, 912, 263, 313, 910, 2473, 264, 1315, 630, 313, 910, 962, 264, 815, 962, 270, 311, 815, 272, 610, 630, 313, 910, 962, 264, 1315, 630, 313, 910, 2473, 264, 815, 2473, 270, 312, 815, 272, 269, 630, 313, 1341, 2473, 264, 1315, 630, 313, 1341, 962, 264, 815, 962, 270, 311, 815, 272, 610, 630, 313, 1341, 962, 264, 1315, 630, 313, 1341, 2473, 264, 815, 2473, 270, 312, 815, 272, 563, 5804, 891, 519, 3948, 281, 4144, 2684, 656, 639, 3830, 610, 1390, 11532, 540, 674, 12938, 1341, 630, 311, 3203, 269, 562, 1341, 962, 540, 519, 3203, 269, 562, 264, 815, 2098, 560, 269, 562, 568, 519, 3070, 540, 519, 3830, 630, 313, 560, 269, 562, 910, 634, 2473, 3203, 269, 562, 264, 519, 2473, 3203, 269, 562, 815, 630, 313, 540, 519, 3203, 269, 562, 910, 962, 3203, 269, 562, 264, 962, 540, 519, 3203, 269, 562, 267, 543, 910, 630, 763, 2473, 3203, 269, 562, 1341, 962, 540, 519, 3203, 269, 562, 264, 815, 2098, 560, 269, 562, 568, 519, 3070, 540, 519, 3830, 630, 313, 560, 269, 562, 1341, 2473, 3203, 269, 562, 264, 2473, 3203, 269, 562, 815, 630, 313, 540, 519, 3203, 269, 562, 1341, 962, 540, 519, 3203, 269, 562, 264, 962, 540, 519, 3203, 269, 562, 563, 10139, 525, 6715, 619, 998, 1142, 476, 274, 6688, 883, 519, 1739, 1003, 1968, 1062, 269, 3973, 476, 1911, 271, 815, 1015, 560, 269, 476, 274, 972, 616, 13279, 540, 9981, 269, 898, 568, 2312, 267, 602, 689, 891, 476, 4335, 910, 9642, 2338, 267, 543, 476, 4335, 910, 1256, 267, 1287, 519, 4834, 723, 912, 263, 1015, 3203, 269, 476, 274, 333, 1341, 476, 1015, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 562, 815, 630, 1015, 3203, 269, 476, 274, 333, 1341, 1015, 540, 519, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 476, 274, 333, 543, 519, 3375, 2098, 815, 910, 630, 4335, 1535, 476, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 264, 1341, 476, 4335, 1535, 476, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 4297, 815, 910, 476, 1015, 3203, 269, 476, 274, 333, 3248, 263, 1015, 3203, 269, 476, 274, 333, 910, 476, 1015, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 476, 274, 333, 815, 630, 1015, 3203, 269, 476, 274, 333, 910, 476, 1015, 3203, 269, 476, 274, 333, 264, 476, 1015, 3203, 269, 476, 274, 333, 519, 3375, 2098, 815, 1341, 630, 4335, 383, 369, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 264, 1341, 476, 4335, 16223, 476, 1015, 3203, 269, 476, 274, 630, 333, 910, 476, 272, 4297, 815, 1341, 1015, 560, 269, 476, 274, 333, 563, 8170, 476, 1911, 271, 1507, 9838, 7306, 543, 2681, 540, 18695, 666, 1106, 513, 2462, 13306, 568, 6299, 1731, 827, 476, 1015, 269, 898, 568, 2009, 547, 1118, 513, 2462, 13306, 540, 476, 272, 5479, 18695, 568, 6299, 1731, 827, 476, 1911, 271, 563, 13757, 7102, 8870, 540, 562, 281, 910, 562, 543, 1341, 333, 267, 1341, 272, 14672, 543, 910, 476, 272, 14672, 267, 9642, 543, 1256, 912, 268, 630, 333, 1341, 562, 1341, 2560, 1341, 562, 264, 815, 910, 562, 540, 3203, 269, 476, 273, 282, 910, 630, 333, 1535, 562, 1535, 2560, 1535, 562, 264, 815, 910, 562, 540, 519, 3203, 269, 562, 282, 910, 630, 272, 1315, 562, 1341, 476, 272, 14672, 1341, 2560, 1341, 476, 272, 1315, 562, 264, 815, 910, 476, 272, 282, 910, 630, 272, 1315, 562, 1535, 476, 272, 14672, 1535, 2560, 1535, 272, 1315, 562, 264, 815, 910, 3203, 269, 562, 910, 562, 3248, 266, 630, 333, 1341, 562, 1341, 2560, 1341, 562, 264, 815, 1341, 333, 540, 3203, 269, 476, 273, 282, 1341, 630, 333, 1535, 562, 1535, 2560, 1535, 562, 264, 815, 1341, 562, 540, 519, 3203, 269, 562, 282, 1341, 630, 272, 1315, 562, 1341, 2560, 1341, 272, 1315, 562, 264, 815, 1341, 476, 272, 282, 1341, 630, 272, 1315, 562, 1535, 476, 272, 14672, 1535, 2560, 1535, 272, 1315, 562, 264, 815, 1341, 3203, 269, 562, 910, 562, 563, 10831, 476, 1015, 540, 519, 3203, 269, 476, 274, 333, 815, 476, 1015, 3203, 269, 562, 1535, 476, 1015, 853, 269, 562, 1535, 476, 1015, 3203, 269, 562, 267, 1246, 3601, 689, 1934, 912, 266, 630, 1015, 3203, 269, 562, 1341, 476, 1015, 3203, 269, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 562, 264, 815, 1341, 476, 1015, 3203, 269, 476, 273, 333, 282, 1341, 630, 1015, 3203, 269, 562, 1535, 476, 1015, 3203, 269, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 562, 264, 815, 1341, 476, 1015, 3203, 269, 562, 540, 519, 3203, 269, 630, 1015, 3203, 269, 562, 11850, 266, 630, 1015, 3203, 269, 910, 562, 1341, 476, 1015, 3203, 269, 910, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 910, 562, 264, 815, 1341, 476, 272, 282, 1341, 630, 1015, 3203, 269, 910, 562, 1535, 476, 1015, 3203, 269, 910, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 910, 562, 264, 815, 1341, 476, 1015, 3203, 269, 910, 3203, 269, 562, 630, 1015, 3203, 269, 910, 562, 11850, 268, 630, 1015, 3203, 269, 562, 1341, 476, 1015, 3203, 269, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 562, 264, 815, 910, 476, 1015, 3203, 269, 476, 273, 333, 282, 910, 630, 1015, 3203, 269, 562, 1535, 476, 1015, 3203, 269, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 562, 264, 815, 910, 476, 1015, 3203, 269, 562, 540, 519, 3203, 269, 630, 1015, 3203, 269, 562, 11850, 266, 630, 1015, 3203, 269, 910, 562, 1341, 476, 1015, 3203, 269, 910, 562, 1341, 2560, 1341, 476, 1015, 3203, 269, 910, 562, 264, 815, 910, 476, 272, 282, 1341, 630, 1015, 3203, 269, 910, 562, 1535, 476, 1015, 3203, 269, 910, 562, 1535, 2560, 1535, 476, 1015, 3203, 269, 910, 562, 264, 815, 910, 476, 1015, 3203, 269, 910, 3203, 269, 562, 630, 1015, 3203, 269, 910, 562, 11850, 933, 4024, 2015, 1297, 476, 1015, 540, 519, 3203, 269, 476, 274, 333, 1141, 562, 815, 476, 278, 267, 476, 1015, 3203, 269, 476, 274, 333, 815, 476, 1015, 3203, 269, 476, 2641, 815, 1015, 560, 269, 476, 278, 1535, 476, 1015, 3203, 269, 476, 278, 1535, 476, 1015, 540, 3203, 269, 476, 278, 269, 898, 568, 6299, 1731, 827, 476, 1911, 1822, 876, 815, 476, 1015, 560, 278, 284, 1015, 6634, 267, 5161, 689, 476, 272, 572, 330, 560, 11669, 990, 18695, 269, 1403, 547, 1118, 24905, 1782, 540, 513, 6299, 1731, 543, 547, 2322, 18695, 1510, 11996, 538, 835, 4737, 610, 693, 1142, 824, 267, 1287, 649, 786, 4309, 8880, 610, 7299, 4773, 540, 3259, 476, 272, 572, 330, 560, 11669, 990, 269, 2311, 519, 1482, 942, 1142, 13306, 814, 513, 3009, 910, 1297, 476, 2641, 910, 519, 7857, 1297, 568, 689, 476, 2641, 4642, 547, 476, 2641, 8370, 269, 2060, 1297, 910, 476, 1015, 3203, 269, 476, 278, 649, 12446, 607, 1657, 269, 3767, 4470, 593, 519, 13306, 6316, 2450, 267, 649, 786, 4309, 912, 1993, 3687, 281, 476, 272, 544, 815, 476, 1015, 3203, 269, 476, 274, 540, 6515, 815, 476, 1015, 560, 277, 7790, 305, 815, 1015, 560, 269, 476, 280, 24519, 815, 1015, 560, 269, 476, 1321, 335, 27323, 815, 1015, 560, 269, 476, 1428, 3185, 1729, 815, 1015, 560, 269, 476, 1240, 582, 1729, 815, 1015, 560, 269, 476, 2641, 8117, 1729, 563, 1993, 7665, 281, 476, 272, 5998, 815, 1015, 560, 269, 476, 274, 544, 282, 476, 272, 8020, 6425, 815, 1015, 560, 269, 476, 277, 544, 282, 476, 272, 326, 332, 815, 1015, 560, 269, 476, 280, 544, 282, 476, 272, 339, 332, 815, 1015, 560, 269, 476, 1321, 544, 282, 476, 272, 10975, 815, 1015, 560, 269, 476, 1428, 544, 282, 476, 272, 655, 815, 1015, 560, 269, 476, 1240, 544, 282, 476, 272, 715, 815, 1015, 560, 269, 476, 2641, 454, 14611, 21635, 281, 519, 11281, 267, 11304, 267, 4110, 267, 31632, 267, 2600, 267, 5662, 454, 10376, 8870, 568, 476, 272, 630, 22780, 1040, 2913, 26141, 2015, 519, 18304, 543, 1568, 540, 4559, 912, 273, 266, 273, 815, 275, 282, 476, 1556, 383, 369, 1556, 284, 13199, 282, 476, 4905, 266, 1015, 815, 282, 282, 282, 282, 476, 274, 266, 273, 284, 276, 282, 476, 9340, 554, 1556, 284, 14338, 272, 282, 476, 18733, 383, 369, 1015, 284, 18733, 271, 282, 476, 274, 266, 274, 284, 277, 282, 476, 9340, 383, 369, 9340, 284, 11277, 2641, 281, 476, 18733, 383, 369, 8099, 815, 282, 282, 282, 282, 282, 3248, 275, 1341, 274, 815, 278, 282, 476, 9340, 272, 383, 369, 9340, 815, 282, 282, 282, 282, 282, 282, 282, 476, 18733, 272, 383, 369, 8099, 815, 476, 23713, 13975, 282, 476, 275, 266, 275, 284, 279, 282, 476, 9340, 272, 266, 9340, 272, 284, 11277, 28242, 272, 282, 476, 18733, 272, 16223, 476, 9340, 271, 284, 23713, 25834, 271, 282, 476, 276, 1341, 476, 275, 815, 476, 280, 3248, 9340, 1556, 383, 369, 9340, 272, 284, 11277, 4510, 274, 2641, 282, 476, 18733, 1556, 1535, 476, 9340, 271, 815, 23713, 30306, 25834, 271, 282, 476, 276, 266, 276, 284, 1015, 282, 476, 9340, 1556, 1535, 476, 9340, 1556, 815, 11277, 3393, 275, 25834, 282, 476, 18733, 1556, 1535, 476, 9340, 1015, 815, 476, 23713, 29340, 13975, 282, 476, 277, 266, 276, 284, 272, 281, 476, 9340, 9340, 383, 369, 9340, 1556, 284, 11277, 3393, 276, 28242, 272, 282, 476, 18733, 9340, 266, 9340, 1015, 284, 23713, 30306, 25834, 271, 282, 563, 280, 266, 280, 284, 1240, 282, 476, 280, 343, 280, 284, 10037, 267, 476, 9340, 9340, 9340, 343, 9340, 9340, 9340, 284, 11277, 27174, 4281, 280, 9262, 277, 276, 6246, 2641, 282, 476, 272, 266, 273, 266, 274, 266, 275, 266, 276, 266, 277, 266, 278, 266, 279, 266, 280, 266, 279, 266, 278, 266, 277, 266, 276, 266, 275, 266, 274, 266, 273, 266, 272, 284, 10037, 454, 1015, 266, 280, 284, 866, 282, 476, 1015, 343, 280, 284, 3445, 476, 9340, 9340, 9340, 272, 343, 9340, 9340, 9340, 815, 476, 11277, 27174, 4281, 280, 7176, 278, 4792, 275, 25834, 2040, 540, 891, 5515, 616, 476, 3445, 563, 1015, 1341, 1015, 815, 736, 282, 476, 1015, 383, 369, 1015, 284, 1911, 267, 476, 18733, 9340, 9340, 272, 1535, 476, 9340 ]

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

[ 1100, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 4000, 1315, 3345, 1315, 25448, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 17345, 5149, 281, 4197, 19097, 1143, 538, 8567, 692, 9213, 267, 649, 616, 2469, 547, 4685, 883, 835, 540, 519, 1034, 1271, 2853, 538, 8567, 910, 29080, 269, 1411, 1522, 723, 4862, 827, 621, 1282, 707, 11564, 547, 5939, 610, 538, 7391, 609, 2828, 269, 2913, 781, 2263, 922, 4644, 1927, 2439, 5331, 1373, 851, 540, 513, 2462, 267, 7772, 995, 11812, 1141, 3025, 568, 9599, 543, 28292, 269, 3767, 4605, 3054, 3478, 546, 6064, 539, 538, 1216, 610, 2348, 1216, 23953, 936, 707, 2212, 269, 5213, 1405, 5855, 1107, 713, 3884, 1406, 513, 10751, 855, 513, 2027, 3909, 9161, 1572, 29080, 256, 901, 957, 23327, 4358, 513, 1007, 1272, 4448, 547, 2696, 543, 1010, 10752, 998, 4906, 2441, 780, 289, 2194, 1143, 814, 1044, 13736, 2094, 519, 2038, 2395, 540, 8567, 269, 1879, 2576, 16976, 789, 1616, 547, 1246, 4906, 543, 1831, 513, 4168, 267, 789, 2356, 1205, 19071, 1242, 269, 1809, 1018, 1281, 621, 782, 1611, 2496, 265, 634, 12791, 19992, 19097, 1143, 912, 1103, 29080, 267, 1216, 4564, 26349, 543, 22729, 269, 1635, 10283, 538, 713, 9161, 267, 10271, 6542, 602, 789, 3398, 4906, 607, 741, 5260, 1640, 543, 9153, 547, 2661, 2687, 547, 1010, 10752, 269, 1358, 849, 1397, 789, 616, 4712, 547, 4734, 3297, 2025, 6208, 610, 9073, 543, 1376, 4195, 609, 513, 2973, 1793, 622, 780, 265, 7756, 18467, 547, 5192, 19097, 1242, 912, 2467, 616, 1079, 1292, 2081, 1004, 1205, 19071, 1242, 281, 21599, 543, 3413, 4288, 269, 8056, 619, 542, 3322, 1373, 4628, 24760, 538, 1216, 267, 1247, 3413, 4288, 2882, 26311, 610, 20057, 1782, 1216, 936, 519, 1268, 781, 2212, 269, 5637, 2409, 3180, 519, 1482, 2495, 543, 2956, 282, 621, 1175, 5673, 593, 2123, 13283, 610, 2245, 780, 265, 5808, 2052, 2142, 19097, 1242, 286, 912, 12179, 821, 945, 11099, 538, 4906, 543, 6499, 547, 3479, 2933, 547, 1739, 1010, 10752, 666, 581, 19071, 1242, 269, 3509, 13039, 2259, 10867, 29080, 267, 799, 1797, 9002, 616, 19071, 1242, 16172, 1310, 4332, 269, 14268, 543, 5601, 18499, 1118, 14767, 593, 15773, 540, 12256, 1317, 789, 5749, 1405, 2943, 2111, 547, 1174, 891, 19647, 269, 1306, 1453, 1332, 4587, 267, 789, 6166, 891, 14767, 1500, 585, 873, 1282, 513, 16008, 1634, 607, 21533, 780, 265, 13507, 545, 30123, 999, 4438, 19097, 1143, 912, 7628, 19071, 3359, 267, 972, 616, 1896, 6209, 17267, 543, 3615, 1031, 912, 567, 1341, 10513, 4826, 281, 7981, 1216, 1419, 25552, 676, 513, 17308, 610, 14012, 568, 4122, 1031, 585, 19071, 3359, 563, 567, 1341, 9061, 6178, 532, 281, 589, 3444, 568, 14360, 593, 519, 30432, 1210, 3282, 610, 1216, 607, 513, 12576, 540, 10362, 547, 2441, 563, 567, 1341, 15443, 956, 281, 22175, 22250, 2099, 519, 1769, 540, 4906, 13057, 519, 9241, 19071, 1242, 2429, 741, 5289, 3460, 780, 3086, 602, 596, 917, 811, 827, 29080, 538, 8567, 267, 1589, 827, 875, 5863, 621, 568, 602, 1004, 1472, 519, 1158, 8661, 741, 5132, 538, 2147, 2081, 256, 5272, 942, 596, 1294, 1216, 13576, 11884, 267, 4952, 1866, 8508, 741, 4276, 547, 2696, 998, 29080, 269, 5457, 267, 1169, 6749, 11438, 513, 3532, 5048, 540, 2648, 267, 4126, 267, 543, 7029, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 347, 8512, 540, 513, 3126, 593, 2008, 347, 8512, 540, 513, 3126, 593, 2008, 347, 14532, 540, 10764, 2008, 763, 1686, 540, 8567, 4145, 519, 4168, 4984, 267, 4168, 2477, 267, 543, 519, 10271, 609, 741, 1585, 29559, 267, 689, 519, 476, 272, 560, 2540, 547, 519, 1459, 269, 8567, 12090, 609, 519, 18591, 540, 4906, 267, 513, 6014, 4116, 543, 12115, 518, 945, 29064, 519, 31873, 8003, 540, 2696, 543, 729, 16961, 1881, 524, 269, 5084, 476, 1789, 1700, 3451, 538, 13243, 538, 519, 4936, 11662, 540, 7225, 20660, 269, 3571, 13794, 3494, 602, 267, 2687, 547, 519, 717, 28145, 267, 646, 729, 519, 12312, 540, 2696, 543, 602, 646, 5747, 585, 519, 19807, 540, 21359, 543, 729, 6659, 689, 519, 4666, 543, 608, 531, 1540, 676, 2696, 267, 543, 786, 2132, 4166, 693, 519, 27299, 540, 2696, 781, 10806, 563, 763, 9998, 13794, 540, 4906, 941, 3284, 32565, 6014, 10271, 269, 8567, 7283, 513, 6014, 3392, 585, 5553, 267, 11651, 3101, 7930, 689, 17194, 936, 11705, 337, 1400, 267, 1514, 543, 3140, 3604, 269, 8567, 3262, 607, 513, 29065, 3350, 602, 2968, 3964, 676, 519, 3791, 2540, 269, 634, 4936, 14890, 4790, 14932, 594, 2968, 519, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 4168, 681, 3770, 338, 1299, 6657, 1315, 15762, 571, 906, 1315, 19097, 1143, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5149, 476, 1015, 281, 29725, 6883, 6778, 18741, 27332, 329, 16619, 3842, 519, 8230, 12505, 27953, 692, 7072, 912, 300, 870, 18741, 27332, 329, 16619, 267, 4092, 538, 25157, 855, 536, 867, 1359, 15057, 267, 568, 519, 5207, 8445, 538, 4000, 543, 519, 32399, 1954, 652, 21505, 7823, 538, 519, 1158, 269, 4706, 1614, 15027, 25862, 910, 918, 756, 334, 267, 631, 1177, 523, 17844, 267, 543, 1744, 4275, 910, 1118, 621, 513, 2442, 10278, 585, 7823, 32580, 543, 7045, 3464, 7567, 269, 4014, 1034, 6172, 1499, 1935, 18741, 27332, 329, 16619, 689, 519, 23261, 534, 1014, 2427, 267, 972, 568, 849, 513, 29271, 8905, 4358, 538, 15057, 602, 3091, 2189, 2686, 2833, 543, 3309, 8916, 269, 901, 1770, 786, 5490, 883, 519, 2591, 267, 12587, 267, 543, 4052, 3344, 540, 16246, 6778, 18741, 27332, 329, 16619, 998, 519, 8230, 12505, 8905, 780, 4089, 476, 272, 281, 8466, 17461, 543, 19043, 692, 763, 1686, 540, 6778, 18741, 27332, 329, 16619, 7389, 1394, 6634, 540, 1296, 950, 922, 5250, 3459, 1813, 547, 29684, 6676, 5322, 2059, 519, 4279, 681, 3424, 9503, 269, 634, 1101, 3811, 21895, 729, 6913, 676, 17713, 2725, 9807, 543, 32400, 8830, 1206, 23025, 518, 538, 476, 6642, 280, 267, 6679, 909, 3255, 585, 3621, 1382, 543, 9235, 269, 4653, 267, 18741, 27332, 329, 16619, 6585, 1390, 4644, 585, 1312, 2199, 2950, 543, 2518, 8436, 269, 1280, 8575, 553, 2967, 11031, 2713, 2282, 519, 7823, 781, 9087, 1054, 1571, 267, 18741, 27332, 329, 16619, 4564, 741, 18577, 1753, 543, 10723, 21056, 269, 11531, 267, 3486, 14666, 26600, 547, 1995, 519, 18198, 5784, 543, 2168, 4161, 6035, 676, 713, 23836, 8445, 780, 4089, 476, 273, 281, 19805, 519, 9406, 27953, 281, 8230, 12505, 5288, 269, 23261, 534, 1014, 22604, 692, 4407, 1896, 11507, 1291, 547, 772, 327, 15843, 30078, 630, 298, 559, 27332, 329, 16619, 781, 5207, 1448, 1070, 1152, 1079, 1376, 689, 15057, 281, 519, 9370, 629, 527, 543, 631, 4861, 14505, 19235, 269, 22702, 547, 519, 8185, 911, 742, 17673, 3057, 1481, 9497, 290, 10087, 2051, 320, 8442, 543, 7557, 877, 9497, 2662, 529, 4486, 8442, 18162, 23608, 538, 25157, 267, 891, 8230, 12505, 10092, 2709, 694, 2424, 543, 26080, 21599, 883, 519, 3148, 781, 3638, 9265, 269, 5637, 3681, 2154, 554, 1731, 619, 547, 3444, 3084, 10665, 267, 4946, 6106, 540, 17825, 543, 29904, 6483, 269, 1717, 267, 789, 1683, 2899, 2987, 8584, 2000, 604, 8135, 8458, 547, 4497, 609, 6917, 8230, 12505, 2528, 1247, 21986, 532, 18932, 7733, 267, 544, 3233, 4133, 267, 620, 18090, 24301, 267, 543, 22260, 780, 4089, 476, 274, 281, 19369, 543, 9751, 692, 290, 3916, 6883, 6778, 18741, 27332, 329, 16619, 13514, 1713, 2168, 543, 2790, 2591, 267, 8506, 9488, 7041, 543, 2866, 269, 16816, 3363, 19210, 3788, 513, 2101, 6161, 267, 607, 3046, 6248, 2604, 12772, 13497, 1282, 607, 1417, 269, 7743, 1035, 743, 574, 26494, 2994, 971, 607, 16795, 15038, 2744, 267, 20697, 267, 6484, 267, 543, 7850, 1964, 1831, 1898, 3334, 540, 1967, 269, 5047, 267, 13215, 2596, 2930, 1983, 899, 4672, 4949, 324, 10654, 543, 16081, 335, 517, 6165, 10597, 3106, 2429, 1164, 268, 5306, 3363, 6810, 269, 24524, 2157, 1058, 23679, 7854, 9025, 16608, 267, 4222, 267, 3666, 267, 8112, 267, 543, 22231, 780, 4089, 476, 275, 281, 19484, 8836, 7402, 12420, 543, 7025, 26930, 692, 11328, 716, 532, 609, 6805, 5095, 3029, 606, 7533, 851, 540, 1022, 8230, 12505, 18741, 27332, 329, 16619, 16939, 269, 4197, 2199, 9821, 267, 4654, 267, 543, 24454, 11942, 16614, 3347, 543, 24024, 1761, 21390, 269, 3958, 267, 8026, 834, 548, 1511, 1100, 10250, 257, 3741, 14014, 17866, 8134, 1996, 12159, 3361, 676, 2527, 9235, 269, 1635, 20170, 547, 7453, 3653, 12871, 4808, 543, 8497, 2067, 2200, 267, 31939, 24329, 3565, 9797, 547, 4264, 1646, 3646, 2066, 5101, 4000, 780, 4089, 476, 276, 281, 7351, 12367, 543, 8892, 20480, 692, 1103, 2487, 1296, 267, 2916, 1689, 814, 4299, 18741, 27332, 329, 16619, 781, 30961, 1949, 267, 9870, 4145, 827, 1279, 3856, 10333, 543, 2825, 6940, 269, 1306, 5210, 3136, 8375, 267, 3744, 3589, 2417, 18956, 540, 4672, 11503, 267, 5732, 18363, 1216, 8244, 19654, 269, 9182, 267, 8639, 1590, 12840, 5702, 547, 2232, 10296, 5726, 2152, 543, 2327, 2104, 5481, 666, 2972, 713, 7415, 20648, 2622, 11595, 13505, 780, 6962, 1384, 21615, 1046, 532, 593, 513, 3460, 909, 6778, 18741, 27332, 329, 16619, 3842, 519, 8230, 12505, 8905, 14767, 7045, 267, 2123, 2208, 267, 543, 7096, 4296, 609, 2470, 543, 8103, 269, 3414, 30190, 4058, 267, 3743, 3375, 6194, 267, 543, 7071, 585, 6237, 4763, 267, 1169, 31939, 12027, 8309, 547, 519, 5571, 9371, 540, 3408, 543, 19642, 4478, 4000, 781, 11599, 31241, 641, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 9509, 898, 10719, 776, 454, 268, 17421, 20155, 454, 268, 13488, 19672, 454, 268, 25676, 18614, 454, 268, 5700, 6969, 1411, 3619, 454, 268, 4033, 10222, 1186, 1411, 2904, 6145, 454, 18794, 7849, 626, 4260, 7958, 685, 8227, 623, 1122, 2806, 321, 2714, 267, 593, 713, 25157, 7320, 1760, 926, 547, 1294, 519, 26672, 528, 540, 5101, 3979, 5017, 7258, 11599, 2831, 899, 18479, 11244, 267, 8187, 324, 2041, 652, 267, 5871, 14858, 3630, 267, 30159, 267, 6764, 8403, 267, 30657, 16279, 267, 19134, 324, 2041, 652, 267, 661, 1633, 267, 23193, 267, 4258, 29609, 267, 2274, 16985, 267, 20128, 1540, 5754, 6511, 267, 966, 2925, 339, 3933, 4486, 267, 9040, 3019, 267, 543, 865, 1082, 811, 269, 13488, 693, 8445, 942, 281, 8187, 324, 2041, 652, 616, 1608, 1324, 543, 519, 4205, 1063, 23246, 543, 10352, 616, 7920, 563, 2171, 2253, 538, 1488, 2313, 320, 267, 4553, 676, 942, 693, 1488, 2313, 320, 543, 8235, 3509, 4673, 2817, 20088, 267, 1287, 2947, 17334, 693, 6899, 1760, 926, 13122, 865, 2673, 547, 519, 2962, 269, 10812, 693, 6196, 1575, 2967, 717, 5282, 543, 519, 7320, 5230, 31436, 528, 784, 19660, 9197, 831, 269, 7053, 7198, 519, 26672, 528, 540, 20579, 836, 790, 2817, 5244, 267, 829, 3481, 593, 513, 9030, 9194, 23725, 528, 883, 519, 590, 699, 978, 564, 328, 282, 713, 568, 1018, 7320, 32026, 616, 1500, 540, 563, 9961, 938, 3408, 267, 1451, 827, 519, 4279, 681, 3424, 9503, 543, 519, 2898, 1858, 779, 3673, 514, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 4000, 1315, 5101, 1315, 15057, 1315, 29725, 6883, 6778, 18741, 27332, 329, 16619, 689, 15057, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607 ]

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

[ 1001, 274, 454, 303, 523, 7345, 15815, 582, 281, 898, 779, 513, 2245, 602, 3459, 593, 5412, 476, 1839, 267, 476, 4572, 280, 267, 950, 12650, 269, 5261, 654, 4532, 777, 1177, 540, 14886, 1222, 1496, 300, 12578, 316, 16041, 1010, 7077, 609, 513, 18797, 15004, 5627, 14786, 267, 17476, 267, 6995, 267, 17711, 543, 824, 968, 529, 1633, 12743, 3753, 892, 543, 24363, 547, 519, 561, 12915, 11817, 1472, 519, 9412, 1633, 1858, 543, 12628, 519, 16434, 13344, 547, 519, 561, 30224, 3885, 269, 4340, 547, 519, 1686, 540, 519, 14886, 540, 674, 2391, 13244, 267, 621, 729, 654, 4532, 777, 1177, 779, 1259, 540, 6031, 7064, 585, 5329, 519, 8279, 1396, 865, 646, 1223, 1265, 1010, 1259, 998, 519, 22839, 593, 20893, 4445, 267, 28067, 32734, 1430, 2395, 563, 2108, 17504, 3357, 1394, 547, 1864, 538, 519, 2395, 602, 4553, 602, 1010, 13344, 540, 8285, 17869, 941, 5393, 1134, 4607, 269, 634, 1832, 619, 543, 741, 3885, 941, 20109, 547, 581, 15422, 593, 713, 2027, 9702, 269, 589, 2241, 23972, 540, 7064, 1185, 1500, 519, 1554, 865, 1454, 811, 2027, 585, 519, 7264, 540, 891, 9678, 856, 14006, 338, 269, 654, 4532, 777, 1177, 3533, 7691, 602, 713, 24204, 2280, 728, 8184, 964, 5703, 547, 581, 7368, 607, 1134, 607, 9450, 547, 1331, 811, 540, 519, 561, 30224, 3885, 543, 11076, 15050, 10473, 2059, 519, 5032, 2223, 2687, 547, 519, 14886, 563, 5649, 811, 827, 519, 1686, 540, 519, 674, 2391, 13244, 269, 0, 310, 12239, 15829, 11902, 312, 4953, 15288, 267, 1473, 269, 2443, 16581, 12555, 568, 606, 1271, 2259, 585, 24569, 1426, 2504, 538, 1082, 4525, 540, 519, 1158, 269, 14755, 5355, 6694, 11729, 267, 12555, 849, 5540, 2916, 2175, 267, 3335, 16715, 2244, 2627, 5210, 538, 513, 2361, 543, 519, 4478, 2127, 269, 1809, 513, 1007, 1353, 2982, 602, 538, 930, 2694, 540, 519, 1158, 267, 12555, 4679, 5848, 3002, 2566, 267, 8380, 6634, 540, 1004, 2713, 538, 835, 540, 519, 1034, 29822, 20651, 4525, 538, 519, 1158, 693, 1981, 540, 8801, 1072, 5222, 563, 288, 1007, 1353, 3370, 2221, 538, 519, 4760, 7186, 2983, 657, 7220, 6920, 602, 5756, 540, 14021, 12555, 538, 3127, 779, 21475, 8566, 836, 2045, 30577, 723, 4389, 3328, 3232, 5210, 543, 22485, 519, 5506, 540, 3665, 3002, 2175, 538, 519, 3148, 267, 3927, 14927, 2287, 519, 1764, 540, 519, 2518, 8337, 602, 814, 1044, 4767, 538, 1875, 268, 597, 3419, 730, 2694, 540, 519, 2197, 563, 309, 2711, 631, 880, 571, 267, 7548, 540, 3540, 4702, 543, 3618, 9443, 693, 519, 4095, 4659, 540, 5303, 543, 1291, 2278, 540, 519, 1353, 267, 1767, 968, 296, 337, 3419, 566, 814, 14831, 3585, 5280, 3127, 779, 3646, 547, 3035, 1426, 3354, 267, 855, 621, 814, 849, 3366, 547, 4028, 15780, 22930, 543, 824, 2942, 2825, 4539, 269, 5015, 267, 938, 2079, 2982, 602, 1247, 14021, 12555, 1281, 2539, 6237, 5210, 267, 621, 814, 3648, 2799, 3002, 2566, 267, 7133, 6634, 540, 1004, 2713, 538, 835, 540, 519, 1034, 29822, 20651, 4525, 538, 519, 1158, 3034, 1103, 1840, 547, 513, 9023, 1198, 267, 519, 3173, 1265, 602, 12555, 4679, 2282, 1606, 16577, 11195, 267, 799, 2164, 538, 513, 10565, 2333, 538, 5848, 3002, 2566, 269, 901, 4365, 3575, 267, 519, 4999, 540, 1164, 3002, 543, 1164, 11195, 267, 814, 513, 2178, 1198, 593, 1480, 1072, 269, 4400, 11195, 2306, 621, 811, 2352, 585, 519, 1480, 1560, 547, 8774, 3002, 998, 519, 21381, 540, 17570, 267, 1818, 5848, 3002, 811, 5906, 982, 3819, 3002, 563, 6097, 547, 519, 1353, 267, 3002, 2566, 20327, 538, 3127, 543, 824, 4525, 13856, 676, 5033, 3511, 573, 543, 30734, 16374, 602, 798, 711, 1331, 519, 1909, 540, 12555, 1223, 581, 19765, 26305, 1271, 1072, 4220, 269, 4014, 713, 1353, 5059, 593, 6694, 12555, 267, 519, 4681, 723, 1463, 6286, 585, 519, 4080, 2640, 540, 3039, 5989, 1031, 547, 11574, 3002, 543, 4683, 3002, 6532, 2360, 267, 2523, 607, 2518, 5210, 3136, 547, 4473, 563, 2108, 2026, 649, 782, 723, 4810, 267, 950, 621, 2501, 547, 4743, 3905, 267, 621, 779, 711, 1175, 519, 3002, 267, 621, 779, 519, 11195, 269, 769, 713, 2013, 649, 1336, 602, 896, 930, 3871, 538, 519, 2104, 538, 3127, 267, 519, 1158, 779, 1034, 29245, 9111, 267, 12555, 543, 519, 2404, 18519, 2305, 540, 519, 2011, 1118, 2175, 1745, 8338, 2223, 1767, 15623, 13535, 828, 267, 1071, 27236, 540, 519, 1957, 543, 8830, 16746, 7548, 540, 3618, 267, 11626, 543, 19236, 9443, 269, 968, 5978, 2164, 1397, 602, 713, 2241, 1249, 1590, 581, 2016, 3978, 7156, 950, 4946, 1216, 547, 519, 2011, 3842, 21381, 538, 513, 3905, 3148, 2436, 998, 12555, 610, 1256, 2048, 13582, 22908, 685, 2443, 786, 713, 2569, 610, 2333, 3002, 2566, 18313, 27770, 626, 3002, 2566, 26037, 538, 3127, 8476, 676, 12555, 454, 309, 2711, 631, 880, 571, 267, 1323, 4157, 21983, 25421, 333, 1678, 583, 1399, 19264, 11986, 267, 13019, 6702, 1306, 24499, 267, 7203, 534, 589, 611, 9618, 267, 22189, 11370, 345, 534, 267, 30323, 7236, 27958, 267, 543, 15623, 13535, 828, 454, 4504, 2400, 12555, 538, 3127, 814, 1044, 7152, 547, 6175, 2627, 2837, 267, 855, 519, 3310, 540, 12555, 593, 11195, 543, 3665, 5848, 3002, 2566, 568, 711, 1134, 6956, 269, 3371, 649, 21845, 513, 4999, 540, 538, 2198, 543, 9682, 2861, 14449, 543, 5342, 14368, 1670, 2203, 13502, 547, 1397, 602, 12555, 1110, 12885, 3665, 5848, 3002, 269, 1284, 1336, 602, 14021, 12555, 538, 519, 3148, 3579, 338, 519, 2244, 2627, 676, 476, 272, 11019, 290, 543, 519, 2011, 676, 476, 271, 269, 276, 11019, 290, 269, 1717, 267, 519, 8519, 24534, 3002, 13441, 1813, 547, 12555, 6971, 519, 19236, 10465, 4494, 4463, 267, 799, 4679, 1970, 7400, 5848, 6678, 531, 6853, 269, 4935, 267, 12555, 4679, 519, 1808, 543, 3448, 11195, 267, 799, 12651, 519, 5848, 3002, 2566, 14573, 269, 2271, 1619, 12555, 936, 519, 3148, 2164, 538, 2799, 5848, 3002, 2566, 538, 3127, 267, 9031, 267, 543, 2694, 540, 15787, 12544, 977, 532, 827, 476, 4391, 1700, 5379, 2929, 1004, 538, 3162, 5607, 1765, 9188, 3145, 513, 16830, 2244, 2627, 269, 1284, 2303, 602, 3002, 2566, 20327, 538, 3127, 543, 824, 4525, 13856, 676, 10859, 268, 541, 573, 543, 30734, 16374, 602, 798, 711, 1331, 519, 1909, 540, 12555, 21467, 560, 1493, 519, 2640, 540, 12555, 593, 3819, 3002, 2566, 543, 30391, 519, 4220, 269, 0, 292, 272, 322, 289, 7271, 630, 292, 268, 601, 574, 1588, 267, 476, 272, 322, 289, 23867, 1931, 609, 2463, 547, 31669, 3490, 264, 568, 835, 540, 519, 1614, 12145, 6127, 540, 476, 272, 267, 273, 268, 601, 574, 1588, 269, 898, 568, 513, 1079, 9912, 269, 634, 661, 272, 322, 321, 11115, 1143, 269, 26332, 1588, 6547, 649, 723, 5941, 4125, 519, 2530, 540, 513, 23442, 543, 513, 6028, 1895, 689, 11105, 269, 630, 17771, 1400, 264, 16087, 976, 269, 1879, 519, 1079, 269, 661, 272, 322, 321, 7271, 281, 1323, 17594, 5114, 7271, 10023, 1286, 3316, 542, 5250, 4553, 538, 519, 1985, 1900, 676, 1163, 13955, 540, 513, 6028, 1895, 593, 513, 12498, 3327, 563, 347, 13775, 630, 8310, 2567, 1475, 272, 2904, 476, 1001, 274, 2008, 347, 14457, 11711, 12025, 10573, 272, 269, 9834, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 1240, 269, 10436, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 1607, 1287, 3587, 519, 1034, 7123, 1587, 1813, 547, 5409, 935, 24503, 566, 267, 543, 568, 849, 811, 1455, 982, 519, 5634, 1587, 269, 769, 519, 661, 272, 540, 512, 910, 8117, 2643, 28538, 728, 267, 519, 595, 5174, 337, 6125, 9397, 1101, 547, 4734, 513, 24596, 16087, 6327, 269, 634, 3152, 519, 6617, 540, 713, 5912, 1533, 267, 519, 811, 519, 7271, 786, 3870, 606, 661, 272, 322, 289, 7271, 269, 678, 272, 322, 321, 454, 763, 524, 566, 949, 6125, 547, 513, 7576, 2684, 850, 547, 2285, 513, 18839, 1587, 269, 634, 661, 272, 322, 289, 1383, 7151, 661, 272, 322, 6277, 1739, 3349, 26564, 519, 1883, 3604, 1063, 519, 1614, 17594, 6547, 282, 1199, 7315, 1143, 267, 519, 1655, 1259, 547, 2697, 799, 7271, 568, 4730, 513, 1883, 1909, 538, 513, 1880, 5114, 3322, 519, 3498, 540, 3114, 737, 27282, 269, 901, 5114, 568, 1031, 2663, 538, 513, 5114, 1572, 606, 620, 323, 565, 28198, 563, 14303, 7205, 689, 9232, 4179, 281, 661, 272, 6763, 585, 796, 574, 12817, 17594, 267, 543, 661, 273, 6763, 585, 536, 574, 12817, 17594, 269, 6178, 909, 1210, 9365, 563, 3080, 1373, 519, 5250, 540, 513, 16087, 6327, 13591, 269, 6333, 519, 1739, 7271, 281, 15580, 3830, 15580, 1673, 9057, 1456, 1900, 269, 634, 679, 25544, 568, 519, 803, 1013, 1143, 7123, 31669, 3490, 540, 519, 4358, 1570, 267, 543, 568, 835, 540, 519, 10827, 919, 538, 519, 5114, 269, 2368, 1806, 540, 7135, 602, 2270, 4057, 6028, 2516, 543, 666, 10929, 519, 661, 272, 322, 289, 7271, 616, 4568, 338, 543, 14806, 334, 1779, 6951, 563, 763, 2470, 540, 519, 10300, 4094, 2655, 15856, 550, 593, 519, 12659, 2643, 10300, 728, 568, 2356, 711, 1360, 1713, 952, 621, 568, 1849, 267, 5696, 610, 594, 269, 634, 1034, 1134, 1634, 5114, 602, 25457, 661, 272, 322, 289, 17594, 568, 519, 620, 323, 565, 28198, 5114, 896, 2596, 2175, 269, 12476, 2275, 520, 3315, 7458, 17594, 4386, 609, 8022, 269, 5082, 5268, 32281, 1840, 715, 16197, 30858, 1840, 5131, 268, 2784, 673, 1840, 20676, 1933, 1288, 563, 763, 661, 272, 322, 289, 17594, 5114, 568, 513, 1826, 540, 17594, 5114, 799, 4386, 896, 2596, 2175, 267, 1141, 513, 3226, 4057, 6028, 1895, 971, 607, 910, 15121, 610, 910, 3036, 543, 606, 15755, 7250, 9004, 547, 1106, 606, 3606, 6125, 269, 1546, 17458, 1756, 5385, 543, 513, 632, 17458, 1756, 15452, 24236, 1198, 666, 948, 10646, 1851, 661, 272, 322, 289, 2847, 292, 272, 322, 289, 606, 542, 663, 661, 272, 322, 289, 3352, 337, 269, 1306, 513, 1267, 267, 519, 661, 272, 322, 289, 7271, 666, 581, 7745, 1524, 883, 1614, 6688, 281, 26332, 1588, 4016, 547, 519, 1249, 602, 519, 7271, 568, 606, 17594, 5114, 543, 786, 6336, 1079, 2655, 15856, 757, 563, 10387, 841, 22490, 267, 855, 2760, 3254, 269, 634, 661, 272, 322, 289, 31472, 4014, 661, 272, 6547, 3335, 3322, 513, 16087, 6327, 13591, 267, 519, 661, 272, 322, 289, 2746, 7765, 18252, 513, 1286, 3316, 542, 13591, 269, 2725, 577, 2335, 1143, 1883, 3017, 1063, 519, 661, 273, 5288, 661, 272, 322, 321, 11444, 568, 513, 3982, 1286, 3316, 542, 13591, 607, 10353, 547, 835, 13447, 539, 7271, 563, 2304, 1383, 540, 519, 661, 272, 322, 289, 5114, 7271, 538, 519, 12159, 540, 513, 8280, 13519, 13926, 896, 2596, 2175, 269, 667, 18341, 566, 803, 1097, 22675, 2802, 1470, 325, 523, 8364, 321, 20515, 519, 4527, 540, 513, 7123, 606, 542, 1813, 547, 16982, 1063, 519, 993, 728, 6198, 1895, 543, 519, 3327, 2643, 1895, 269, 901, 2164, 538, 519, 5250, 540, 513, 16087, 6327, 13591, 563, 292, 272, 322, 289, 11115, 1143, 1923, 32726, 1335, 21595, 454, 1607, 568, 1813, 547, 519, 1249, 602, 519, 6028, 1895, 814, 2907, 2451, 519, 11140, 269, 1677, 17412, 267, 950, 16087, 6327, 10827, 919, 616, 4646, 835, 666, 2503, 873, 547, 2746, 2417, 676, 835, 610, 811, 540, 519, 1739, 12331, 281, 563, 4462, 574, 12817, 26332, 1588, 661, 272, 568, 513, 5114, 538, 799, 519, 8851, 540, 606, 670, 311, 2655, 15856, 550, 2164, 538, 519, 5250, 540, 513, 5595, 6125, 563, 305, 777, 573, 543, 31478, 7353, 648, 3161, 609, 589, 23869, 3281, 520, 2225, 6100, 901, 568, 606, 1383, 540, 606, 661, 272, 322, 289, 5114, 799, 2982, 519, 5250, 540, 1035, 14337, 514, 269, 898, 568, 2147, 547, 513, 796, 574, 12817, 7576, 30858, 18839, 5114, 590, 715, 476, 272, 538, 1585, 2081, 269, 1306, 649, 7074, 4505, 267, 1896, 4632, 1590, 581, 2808, 267, 519, 1034, 1271, 1373, 519, 2497, 540, 519, 12659, 2643, 1895, 543, 519, 2470, 540, 519, 7576, 30858, 2746, 656, 563, 13434, 718, 267, 538, 713, 7271, 23442, 566, 540, 519, 1286, 3316, 542, 2901, 676, 519, 31669, 3679, 610, 676, 19857, 568, 5488, 982, 2530, 540, 519, 6028, 1895, 269, 4935, 267, 513, 7250, 568, 711, 2838, 547, 581, 4550, 12656, 328, 17839, 541, 547, 519, 6028, 1895, 269, 4014, 621, 1058, 581, 7074, 602, 713, 7271 ]

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

[ 6449, 6246, 1029, 5716, 609, 519, 11968, 13353, 700, 5474, 267, 5749, 8072, 339, 14126, 269, 4340, 547, 519, 2475, 2344, 3146, 14142, 6109, 715, 11520, 6828, 267, 1164, 2389, 3591, 2899, 31233, 4510, 1029, 585, 827, 476, 736, 2600, 540, 519, 2475, 14912, 21489, 2344, 269, 3767, 267, 519, 1297, 814, 3141, 330, 547, 827, 476, 279, 2600, 269, 8899, 2389, 3591, 267, 519, 2186, 602, 27850, 543, 21563, 656, 5957, 267, 723, 6738, 547, 476, 3066, 2600, 267, 689, 1175, 476, 1556, 2600, 538, 476, 1220, 273, 269, 4400, 31795, 14229, 5474, 616, 835, 540, 519, 1034, 9976, 6449, 3393, 13090, 538, 2413, 14912, 269, 2991, 519, 476, 2735, 276, 5794, 808, 867, 753, 865, 9927, 519, 2344, 267, 21489, 3549, 3459, 32626, 835, 1776, 269, 1358, 2322, 2011, 15450, 538, 519, 10209, 1132, 540, 741, 10887, 543, 1500, 5402, 5423, 543, 6896, 6449, 5379, 1029, 269, 722, 499, 5472, 540, 513, 6727, 621, 2968, 513, 6449, 5325, 1029, 1870, 267, 587, 500, 15794, 531, 28137, 267, 606, 25566, 609, 715, 11520, 1895, 267, 5143, 634, 9931, 9335, 4750, 269, 634, 808, 867, 753, 941, 5140, 269, 634, 2344, 4682, 689, 1373, 4986, 547, 513, 2929, 1673, 20683, 1870, 6449, 4366, 13090, 269, 587, 500, 2290, 540, 519, 4128, 1164, 2389, 3591, 616, 711, 865, 6449, 5392, 1029, 15042, 568, 602, 789, 941, 2760, 2731, 1360, 1434, 693, 7863, 519, 3952, 269, 769, 606, 2376, 538, 519, 3703, 4750, 540, 11846, 6925, 538, 476, 1220, 279, 267, 2160, 540, 1715, 31069, 11001, 30621, 27672, 1336, 1100, 2963, 602, 14229, 5474, 1029, 2004, 1029, 7063, 269, 3571, 1382, 2965, 1336, 602, 1164, 31795, 14912, 14229, 5474, 1223, 1256, 2014, 5716, 547, 2196, 14887, 543, 7914, 2539, 269, 3767, 267, 519, 16311, 814, 1831, 513, 2112, 269, 14992, 899, 1520, 573, 553, 267, 715, 833, 267, 1230, 2091, 543, 1234, 20623, 758, 616, 782, 8165, 547, 1711, 519, 1985, 722, 499, 21080, 16888, 267, 587, 500, 543, 609, 519, 1985, 2344, 6370, 269, 476, 7987, 494, 417, 368, 485, 13107, 492, 7987, 495, 667, 269, 589, 269, 30630, 645, 269, 1995, 595, 269, 2799, 661, 269, 5815, 22393, 674, 269, 6417, 717, 269, 5732, 670, 269, 4867, 594, 269, 13418, 808, 269, 20483, 918, 269, 1569, 8479, 1453, 949, 3068, 3978, 1072, 4220, 689, 2442, 1648, 10425, 267, 971, 607, 30947, 267, 4414, 18409, 543, 9412, 10060, 267, 476, 6078, 4929, 2295, 2042, 543, 824, 1272, 18446, 2175, 267, 2687, 547, 519, 4681, 540, 1007, 29622, 269, 4438, 513, 6881, 693, 519, 5993, 9315, 13519, 11660, 590, 32268, 476, 1001, 275, 5870, 540, 519, 1977, 9839, 5948, 630, 288, 11190, 1070, 3173, 19230, 827, 519, 1981, 540, 3850, 1762, 1453, 476, 5655, 547, 519, 1648, 10425, 267, 799, 2270, 1164, 5666, 540, 14933, 263, 417, 496, 500, 417, 499, 350, 18713, 510, 264, 543, 824, 8102, 1218, 269, 1763, 792, 2583, 476, 6246, 602, 519, 1648, 10425, 616, 711, 5497, 585, 1762, 1453, 543, 616, 711, 2922, 585, 873, 547, 8532, 269, 24697, 700, 2354, 327, 738, 345, 267, 631, 6185, 1421, 1291, 2278, 540, 519, 1353, 267, 568, 10912, 585, 513, 9963, 593, 782, 1648, 4235, 23691, 543, 14569, 267, 9963, 3237, 540, 519, 1981, 540, 3850, 1453, 547, 4235, 873, 269, 12824, 2161, 621, 568, 2352, 547, 917, 4010, 875, 1454, 14933, 568, 8659, 538, 1142, 666, 610, 11480, 540, 1648, 10425, 267, 2094, 789, 616, 1419, 476, 4510, 607, 8192, 9360, 630, 16141, 354, 10429, 483, 29830, 358, 1070, 799, 1450, 519, 9755, 547, 2057, 15111, 6042, 269, 6052, 4235, 9755, 723, 3379, 519, 2179, 540, 14933, 538, 741, 2472, 547, 602, 538, 3905, 10425, 4421, 538, 6995, 8075, 267, 855, 741, 2472, 616, 1419, 26437, 538, 1360, 1804, 7306, 543, 454, 1001, 276, 13127, 373, 368, 11590, 490, 418, 357, 350, 476, 26166, 32352, 418, 365, 485, 26233, 375, 918, 12685, 328, 454, 16269, 616, 711, 4421, 538, 476, 3393, 5054, 899, 6995, 8075, 267, 799, 3335, 1131, 711, 4196, 1762, 1453, 269, 6052, 10425, 616, 4922, 2139, 538, 476, 5379, 8637, 1985, 547, 2757, 2571, 10425, 267, 3335, 26437, 538, 1360, 2147, 23691, 543, 1210, 2147, 6725, 2553, 269, 2368, 1648, 10425, 538, 1082, 540, 519, 2442, 3515, 666, 2270, 909, 547, 476, 6110, 8406, 540, 14933, 829, 666, 269, 769, 6476, 267, 513, 7484, 540, 6995, 3335, 814, 1472, 476, 1911, 8406, 540, 14933, 269, 595, 25377, 710, 15464, 666, 2049, 538, 4079, 693, 2157, 2362, 982, 476, 6110, 8406, 513, 1554, 282, 2705, 267, 1453, 896, 476, 1321, 666, 476, 5325, 14933, 15464, 693, 1152, 476, 273, 269, 276, 8406, 829, 476, 273, 269, 273, 6550, 540, 1560, 2597, 269, 589, 1353, 3370, 538, 5181, 476, 4366, 909, 519, 1007, 4681, 267, 13031, 1648, 10425, 949, 2014, 3978, 2295, 2042, 269, 3943, 3173, 7000, 519, 2442, 1648, 10425, 949, 581, 5532, 547, 476, 5392, 1981, 540, 12150, 2295, 2041, 1846, 543, 1256, 6727, 2669, 269, 634, 15111, 568, 476, 2004, 14236, 1072, 4145, 4478, 519, 10425, 1310, 3875, 2942, 2680, 5359, 723, 1044, 1500, 538, 2487, 1296, 8220, 1648, 10425, 547, 4049, 7063, 543, 7972, 269, 476, 7987, 494, 417, 354, 487, 420, 368, 353, 7987, 495, 589, 269, 5659, 645, 269, 4143, 595, 269, 10834, 667, 269, 11658, 808, 269, 10661, 661, 269, 2981, 918, 269, 8209, 674, 269, 5097, 454, 294, 269, 5676, 1456, 670, 269, 8088, 725, 594, 269, 10660, 1229, 454, 6524, 519, 476, 6977, 271, 30778, 267, 519, 2136, 2276, 1185, 513, 1297, 540, 1507, 12621, 267, 1034, 540, 873, 6580, 689, 7810, 2395, 269, 1358, 941, 1507, 267, 5939, 4448, 5238, 4171, 3119, 6161, 729, 547, 3337, 519, 5837, 1915, 540, 741, 1053, 269, 10801, 2342, 267, 5238, 540, 2362, 1565, 1185, 2919, 267, 12946, 519, 3504, 2012, 540, 6280, 269, 634, 4436, 6280, 729, 7255, 6449, 6078, 27702, 609, 2870, 543, 10825, 1702, 267, 711, 26069, 269, 9737, 4571, 10601, 543, 519, 1439, 540, 519, 476, 5197, 271, 30778, 267, 811, 982, 8370, 8536, 1762, 4892, 267, 27025, 30829, 609, 741, 2866, 693, 1753, 267, 4682, 547, 5125, 585, 4359, 1353, 269, 2368, 540, 873, 2132, 547, 1831, 27504, 540, 12621, 540, 1164, 6449, 5655, 27702, 4534, 19604, 10542, 267, 23171, 267, 12052, 734, 663, 6449, 6246, 30668, 873, 883, 2413, 9945, 269, 634, 1007, 27504, 13264, 782, 13218, 609, 519, 13039, 543, 4547, 538, 513, 1007, 2186, 540, 12200, 269, 5584, 832, 941, 21534, 585, 741, 1702, 540, 513, 1641, 267, 711, 1317, 789, 941, 540, 519, 1697, 5132, 543, 1185, 513, 2178, 6186, 585, 6449, 4510, 27702, 1053, 269, 634, 1007, 6240, 729, 602, 513, 6280, 729, 547, 1711, 1702, 607, 1134, 607, 1780, 621, 593, 267, 543, 713, 1572, 585, 513, 12200, 7768, 540, 4116, 1606, 3273, 1513, 269, 3220, 3739, 543, 1565, 676, 887, 974, 941, 8719, 676, 519, 4436, 1505, 540, 7898, 1005, 267, 538, 799, 519, 7548, 30778, 1378, 1382, 729, 4843, 538, 1362, 269, 23958, 2866, 3056, 547, 519, 1912, 6185, 1421, 606, 3504, 4436, 4110, 6449, 3393, 27702, 519, 5207, 1377, 540, 4359, 14046, 9740, 267, 729, 5189, 269, 2060, 519, 6449, 5379, 27702, 1993, 519, 29519, 1062, 267, 10927, 2875, 4121, 547, 2243, 267, 6449, 5325, 27702, 267, 543, 2932, 741, 1378, 1382, 269, 2311, 519, 1482, 942, 267, 519, 1007, 6280, 7494, 9450, 538, 2450, 543, 1576, 17008, 267, 8840, 4625, 856, 540, 519, 2025, 267, 6449, 4366, 27702, 6437, 263, 13644, 378, 31801, 489, 264, 540, 6128, 267, 27825, 267, 20116, 267, 543, 2575, 269, 634, 7022, 540, 12370, 31233, 5392, 13090, 519, 1528, 633, 1062, 267, 676, 799, 1053, 941, 2111, 547, 3442, 741, 1378, 1576, 540, 1353, 269, 634, 10206, 540, 2101, 4610, 540, 1353, 7153, 269, 634, 1007, 3804, 729, 547, 1118, 519, 6280, 31233, 2004, 27702, 547, 519, 1483, 18697, 540, 519, 1158, 269, 9796, 532, 2673, 3007, 547, 519, 4052, 2115, 540, 2486, 267, 519, 1007, 9945, 8036, 2367, 543, 2021, 547, 960, 693, 922, 4247, 269, 4841, 941, 849, 8036, 607, 24192, 267, 16413, 267, 6694, 1235, 267, 1514, 10304, 4600, 267, 543, 3610, 563, 1001, 276, 13127, 373, 368, 11590, 490, 418, 357, 350, 476, 26166, 32352, 418, 365, 485, 26233, 375, 918, 12685, 328, 454, 7987, 494, 420, 503, 373, 9463, 352, 7987, 495, 19648, 281, 13159, 519, 1739, 8574, 676, 1210, 519, 1913, 538, 519, 4216, 269, 3962, 2262, 666, 1152, 581, 1031, 2899, 269, 8074, 602, 972, 568, 835, 2262, 811, 982, 596, 991, 269, 589, 269, 1198, 645, 269, 26490, 1947, 595, 269, 3606, 667, 269, 8806, 674, 269, 4294, 717, 269, 5497, 670, 269, 10805, 594, 269, 10751, 808, 269, 13581, 661, 269, 9901, 918, 269, 1055, 775, 454, 20288, 793, 10256, 786, 723, 513, 2628, 593, 7308, 1606, 13607, 22717, 540, 909, 547, 7790, 476, 12010, 585, 8840, 519, 6808, 1876, 547, 581, 5645, 856, 1985, 3923, 269, 1403, 789, 798, 711, 723, 2614, 6666, 610, 513, 2324, 5491, 3556, 267, 741, 6472, 786, 581, 28728, 539, 263, 19867, 352, 419, 499, 503, 264, 2394, 789, 2628, 734, 663, 789, 786, 3068, 513, 3799, 264, 6449, 6078, 1029, 13927, 540, 7790, 476, 3199, 585, 3478, 1394, 741, 6472, 269, 634, 1876, 786, 849, 581, 6449, 5655, 1029, 547, 3703, 4961, 269, 634, 22717, 786, 581, 4330, 13166, 607, 834, 24119, 657, 1080, 257, 950, 519, 6808, 4031, 1491, 6449, 476, 6246, 1029, 267, 1317, 519, 2724, 1131, 581, 8120, 952, 519, 9920, 4682, 547, 5480, 543, 729, 1336, 711, 16944, 269, 769, 2259, 267, 1360, 1906, 4914, 10256, 616, 2693, 547, 2132, 547, 6628, 547, 4308, 609, 741, 2665, 269, 14579, 10256, 616, 10355, 1029, 476, 4510, 1693, 20357, 7128, 3112, 1491, 2962, 1996, 873, 952, 789, 3111, 547, 2408, 538, 5480, 269, 5502, 267, 10492, 1419, 1029, 476, 3393, 1029, 2285, 21855, 269, 14579, 6472, 616, 476, 1789, 2600, 811, 2693, 547, 581, 538, 513, 16154, 982, 3703, 15696, 626, 1229, 6472, 269, 634, 1297, 540, 26301, 3361, 676, 4914, 6472, 9782, 676, 476, 5325, 2600, 1063, 476, 1220, 279, 543, 476, 1001, 274, 267, 972, 941, 3592, 476, 6110, 7972, 543, 3978, 7063, 543, 476, 274, 267, 1822, 6449, 5379, 1029, 7063, 689, 10913, 3361, 676, 4914, 6472, 538, 476, 1001, 274, 269, 634, 1007, 1876, 568, 14356, 6449, 5325, 1029, 547, 7017, 519, 1966, 540, 4914, 561, 13446, 10256, 24937, 7182, 547, 2597, 543, 3108, 693, 519, 8868, 269, 14579, 561, 528, 1845, 616, 1614, 2053, 811, 2693, 547, 581, 538, 513, 16154, 982, 3703, 561, 528, 1845, 269, 10765, 5544, 11974, 1336, 602, 1614, 20453, 540, 561, 528, 1845, 602, 8959, 3106, 4255, 941, 6449, 476, 4366, 1029, 18246, 269, 634, 3044, 16005, 585, 513, 1416, 1652, 6117, 6449, 5392, 1029, 734, 7945, 607, 6117, 1932, 2673, 547, 519, 6174, 4395, 610, 2542, 513, 4786, 693, 519, 8868, 734, 15884, 581, 7790, 476, 4968, 269, 14579, 10256, 786, 711, 1205, 2798, 607, 6449, 2004, 1029, 3773, 547, 741, 27121, 267, 1247, 3703, 10256, 786, 563, 7987, 494, 421, 375, 482, 417, 509, 498, 7987, 495, 19648, 281, 13159, 519, 1739, 8574, 676, 1210, 519, 1913, 538, 519, 4216, 269, 3962, 2262, 666, 1152, 581, 1031, 2899, 269, 8074, 602, 972, 568, 835, 2262, 811, 982, 596, 991, 269, 589, 269, 4324, 674, 269, 4720, 645, 269, 10950, 717, 269, 9434, 595, 269, 5432, 670, 269, 10639, 667, 269, 3914, 594, 269, 3804, 661, 269, 4259, 808, 269, 10962, 918, 269, 960, 454, 12640, 6866, 594, 2951, 267, 594, 2743, 3486, 3401, 945, 723, 6594, 538, 6628, 269, 1452, 17615, 267, 10995, 1004, 8359, 6628, 1317, 649, 2709, 1164, 2298, 2362, 2069, 269, 901, 568, 1434, 3377, 585, 519, 5177, 269, 4658, 945, 616, 13473, 1934, 723, 513, 6449, 6078, 1029, 17063, 547, 938, 2197, 269, 1358, 3895, 6628, 1472, 519, 1158, 267, 4543, 938, 4123, 543, 938, 23372, 269, 898, 568, 4443, 585, 938, 26933, 543, 938, 17009, 1846, 547, 798, 1870, 609, 1004, 6449, 5655, 1029, 609, 6628, 269, 3703, 18666, 540, 2069, 543, 2866, 616, 4502, 930, 5216, 5479, 6550, 513, 1032, 269, 14559, 20555, 883, 938, 5238, 543, 2337, 938, 6449, 6246, 1029, 547, 1930, 909, 3255, 585, 811, 1004, 547, 1353, 269, 3776, 1762, 1004, 849, 6449, 4510, 1029, 269, 1358, 2744, 689, 519, 9885, 538, 519, 1158, 799, 3346, 609, 3486 ]

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

[ 687, 563, 12024, 782, 5830, 593, 713, 1641, 594, 993, 967, 20623, 1540, 547, 519, 8106, 1568, 540, 570, 2643, 528, 267, 17793, 10045, 267, 543, 808, 5271, 976, 267, 543, 3226, 547, 519, 4930, 676, 1179, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 9576, 1399, 1315, 14163, 7100, 7931, 1734, 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, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 18981, 6191, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 616, 1346, 2496, 8334, 281, 1358, 616, 2027, 2010, 540, 6191, 602, 666, 1118, 1919, 676, 1739, 5528, 2016, 998, 513, 2780, 1982, 269, 4634, 9162, 666, 581, 1500, 1210, 18981, 6191, 2439, 7692, 281, 2334, 781, 3579, 256, 1809, 875, 1281, 621, 960, 286, 1772, 621, 899, 4730, 513, 3381, 3014, 1141, 596, 1175, 2046, 930, 16181, 543, 513, 11442, 5526, 2496, 8334, 281, 670, 21036, 267, 1100, 711, 4010, 269, 3689, 267, 2576, 814, 547, 1711, 513, 1374, 585, 519, 11442, 593, 513, 2780, 269, 3973, 267, 519, 18981, 3684, 14509, 1346, 6272, 543, 6487, 4010, 1018, 11912, 547, 1118, 538, 519, 1570, 547, 1711, 519, 11442, 269, 898, 781, 2186, 540, 899, 950, 649, 27106, 12897, 543, 1246, 513, 11600, 1107, 519, 11600, 6645, 721, 1900, 8386, 9912, 1018, 547, 798, 267, 543, 952, 649, 1246, 621, 7157, 267, 649, 1439, 909, 609, 8949, 12897, 2439, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 267, 621, 781, 899, 4758, 519, 3684, 922, 1378, 1305, 540, 5528, 865, 621, 6487, 1018, 547, 798, 269, 2052, 649, 946, 18981, 6191, 547, 1118, 1022, 1826, 540, 11442, 2496, 8334, 281, 4107, 569, 3574, 9162, 267, 2094, 18981, 6191, 616, 1390, 693, 5969, 543, 5935, 1114, 5686, 540, 18137, 269, 5994, 1373, 2111, 547, 1286, 557, 856, 6946, 5546, 610, 3270, 585, 707, 11308, 6517, 267, 13410, 267, 610, 6564, 17346, 2439, 7692, 281, 26272, 267, 602, 4992, 5863, 256, 3657, 972, 1022, 3652, 610, 3106, 3800, 649, 991, 547, 917, 950, 2324, 609, 18981, 6191, 2496, 8334, 281, 8786, 267, 9090, 256, 3807, 899, 950, 649, 1404, 609, 1483, 6517, 610, 824, 9162, 267, 649, 723, 547, 581, 6297, 1472, 3001, 2694, 269, 2060, 18981, 6191, 267, 649, 2141, 991, 547, 1832, 938, 3946, 543, 10690, 7802, 2476, 689, 519, 5969, 1858, 1247, 621, 781, 2324, 269, 1656, 1310, 519, 3684, 26088, 2870, 513, 11442, 267, 649, 1869, 991, 547, 2638, 952, 3388, 568, 5347, 543, 2922, 1354, 4730, 609, 621, 780, 7692, 281, 20944, 621, 256, 901, 2306, 803, 1589, 540, 1776, 2243, 910, 666, 4896, 1451, 875, 547, 946, 18981, 6191, 286, 2107, 568, 621, 1945, 1360, 7294, 2496, 8334, 281, 1411, 1522, 991, 930, 942, 547, 1451, 875, 547, 7500, 519, 6191, 9108, 543, 3927, 267, 855, 2899, 596, 1174, 519, 9238, 267, 621, 3587, 4443, 269, 9578, 267, 1565, 827, 18981, 6191, 666, 948, 721, 5660, 875, 2029, 20674, 538, 1585, 6080, 267, 1256, 538, 13167, 938, 5172, 9162, 2439, 7692, 281, 8729, 585, 7713, 713, 547, 803, 267, 7705, 256, 3767, 594, 1616, 547, 2119, 1818, 1250, 1378, 11308, 11442, 609, 513, 18981, 3684, 2439, 8334, 281, 594, 6415, 19914, 596, 2811, 5461, 256, 9320, 649, 666, 2307, 707, 3237, 952, 649, 666, 3643, 513, 2199, 13186, 1927, 28069, 269, 5808, 6487, 267, 6148, 596, 3513, 3605, 513, 1007, 15908, 610, 6612, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3778, 540, 18981, 26682, 454, 11990, 570, 269, 29807, 976, 630, 4489, 274, 268, 1220, 278, 1070, 13653, 540, 519, 3004, 2091, 4975, 267, 12309, 2861, 29807, 976, 15278, 267, 568, 4922, 9833, 607, 519, 4651, 540, 2413, 2780, 1242, 10230, 1852, 630, 290, 10998, 264, 1949, 267, 799, 5795, 4332, 547, 519, 4359, 2780, 1242, 3684, 2645, 1031, 538, 5176, 1169, 2872, 2221, 269, 3571, 2038, 18981, 6191, 941, 1031, 547, 5958, 622, 1950, 29357, 19059, 543, 4847, 1864, 547, 3589, 602, 5904, 1131, 6038, 581, 1031, 547, 1852, 5663, 3937, 269, 18981, 20619, 568, 1631, 606, 1898, 5057, 540, 782, 5663, 3157, 563, 300, 22389, 2725, 1115, 23675, 454, 1103, 476, 3707, 277, 267, 519, 2262, 968, 2780, 892, 5921, 513, 24362, 3556, 13234, 19106, 3684, 269, 11569, 1498, 29807, 976, 15278, 1185, 1152, 1500, 835, 4412, 11839, 1354, 267, 3627, 29807, 976, 13251, 31881, 832, 5652, 4477, 545, 16239, 602, 789, 1223, 3132, 5393, 5730, 17074, 585, 4412, 11839, 10198, 543, 5663, 269, 1261, 8694, 909, 733, 337, 1516, 513, 24362, 268, 3556, 2780, 1062, 547, 5173, 2798, 593, 513, 2941, 614, 23301, 16405, 269, 4746, 646, 8910, 10256, 2490, 519, 1668, 547, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 1195, 10435, 609, 18981, 26682, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 8381, 1677, 903, 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, 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 4862, 827, 875, 2178, 2470, 666, 581, 2496, 7692, 281, 17610, 267, 7705, 256, 594, 917, 602, 3006, 519, 2842, 666, 9514, 2731, 2182, 1282, 513, 7088, 780, 8334, 281, 22549, 256, 1656, 798, 596, 3314, 950, 602, 2462, 19996, 3357, 2063, 1032, 286, 898, 729, 865, 17559, 2439, 7692, 281, 23010, 267, 594, 7948, 1405, 979, 3544, 1317, 621, 729, 1932, 5906, 269, 1809, 1018, 1281, 713, 723, 547, 798, 609, 1373, 2178, 2496, 8334, 281, 4270, 267, 1589, 827, 621, 899, 713, 910, 950, 972, 781, 513, 2731, 3983, 7088, 609, 2178, 12798, 267, 1919, 1472, 721, 1522, 1205, 8697, 269, 1280, 1383, 267, 952, 513, 6885, 9397, 267, 621, 1223, 1577, 519, 2842, 3330, 938, 2777, 543, 1118, 513, 3190, 2439, 7692, 281, 7937, 1100, 256, 1924, 875, 666, 649, 1832, 6000, 2922, 1282, 1346, 2053, 2496, 8334, 281, 2334, 781, 1141, 1945, 1572, 1412, 11069, 716, 9486, 262, 2501, 538, 13561, 269, 1358, 2811, 2027, 9486, 1500, 547, 5706, 2178, 12798, 543, 1256, 10760, 3615, 899, 8371, 610, 7725, 2439, 7692, 281, 5808, 320, 267, 602, 781, 3579, 256, 1684, 789, 1413, 1114, 982, 2834, 9486, 2496, 8334, 281, 3502, 8209, 269, 3245, 519, 3330, 267, 789, 1413, 1175, 899, 3339, 9486, 269, 2201, 519, 3544, 267, 1498, 267, 789, 2356, 723, 3063, 6106, 540, 4027, 780, 7692, 281, 594, 1294, 269, 1924, 2348, 1764, 9486, 1797, 649, 1810, 1405, 991, 547, 5855, 827, 7745, 9486, 1282, 513, 7088, 267, 1318, 2496, 8334, 281, 8786, 267, 4010, 256, 9578, 267, 789, 948, 1832, 721, 2922, 543, 18241, 3330, 1247, 519, 7088, 10596, 269, 3807, 4952, 267, 3079, 540, 7738, 909, 513, 5458, 3190, 1310, 513, 7088, 267, 649, 1223, 2972, 930, 3905, 23342, 1927, 2439, 7692, 281, 16319, 1434, 547, 803, 256, 3767, 594, 1174, 1946, 621, 781, 1271, 547, 723, 1764, 9486, 267, 2523, 2094, 649, 2661, 538, 513, 1747, 1141, 24377, 666, 4755, 1169, 1032, 780, 8334, 281, 25999, 267, 7585, 256, 9861, 5423, 543, 1210, 1455, 2631, 4422, 513, 1279, 1259, 538, 5329, 721, 2922, 543, 3280, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20181, 5455, 12506, 32237, 454, 293, 12089, 9406, 8871, 1047, 454, 736, 13012, 15232, 454, 8702, 547, 623, 10603, 6593, 623, 1149, 25842, 8837, 454, 8702, 547, 938, 3896, 585, 623, 10603, 6593, 623, 1149, 8177, 8837, 256, 1284, 2811, 9599, 596, 4312, 6074, 721, 607, 707, 11967, 2707, 585, 782, 1919, 1644, 547, 1764, 9486, 538, 519, 4190, 2749, 540, 623, 10603, 6593, 623, 1149, 269, 1411, 949, 581, 11842, 1946, 621, 781, 2556, 547, 1902, 538, 891, 19756, 267, 7088, 15033, 2472, 282, 1134, 267, 649, 2811, 1934, 547, 2491, 602, 543, 1454, 811, 563, 5978, 2319, 568, 6131, 547, 3246, 596, 609, 1283, 27677, 577, 1344, 543, 2533, 3358, 4481, 547, 707, 2115, 267, 1818, 2386, 596, 3513, 1745, 8746, 827, 7863, 707, 1753, 610, 1870, 689, 8419, 781, 18894, 15130, 4365, 563, 1103, 513, 3148, 1141, 24377, 543, 9341, 15420, 616, 606, 5993, 12136, 267, 621, 781, 2629, 585, 21427, 543, 4213, 7567, 547, 1491, 15324, 3800, 1996, 1761, 3441, 3361, 676, 891, 3532, 4229, 540, 2470, 269, 2334, 781, 1141, 1764, 9486, 2097, 883, 1404, 1107, 789, 2811, 2966, 711, 1152, 547, 16641, 1164, 12798, 855, 849, 2149, 1996, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2793, 307, 13543, 1315, 16661, 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, 0, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 2253, 707, 3408, 267, 596, 949, 7237, 4241, 7068, 1634, 607, 3425, 543, 741, 32620, 15274, 267, 29067, 269, 1717, 267, 621, 781, 1898, 547, 1451, 875, 547, 2170, 609, 891, 24566, 2828, 1510, 3478, 3787, 1084, 780, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 519, 3268, 547, 3247, 513, 21937, 689, 24146, 267, 7713, 1169, 1469, 2059, 519, 1259, 269, 5213, 1405, 5855, 952, 930, 2035, 3100, 14542, 282, 649, 2811, 1934, 547, 948, 596, 6330, 713, 1007, 1158, 2439, 1262, 3721, 476, 272, 281, 13760, 4208, 28523, 625, 645, 924, 4373, 6524, 11362, 883, 3435, 267, 1577, 781, 2263, 1946, 29067, 11116, 1384, 265, 2878, 5938, 1891, 1928, 4995, 3807, 899, 1480, 9002, 267, 29067, 1995, 9636, 1282, 751, 1891, 630, 19925, 476, 274, 268, 277, 3275, 1040, 4258, 9405, 2337, 13468, 713, 1928, 563, 265, 2878, 7336, 2610, 4995, 28523, 625, 946, 741, 28182, 547, 8495, 741, 10450, 267, 1454, 899, 3425, 946, 3946, 563, 265, 2878, 25440, 543, 23462, 4995, 28523, 625, 1419, 562, 760, 610, 5023, 1282, 1404, 547, 4497, 609, 1866, 267, 1519, 3425, 563, 265, 2878, 293, 792, 610, 4160, 4995, 2368, 29067, 1522, 11116, 1813, 547, 4743, 18901, 267, 12219, 267, 610, 16397, 780, 3086, 602, 649, 4312, 4988, 519, 4128, 3297, 21937, 17486, 267, 1577, 781, 1847, 593, 547, 6604, 2994, 2439, 1262, 3721, 476, 273, 281, 16259, 23126, 4373, 2414, 2057, 1373, 3787, 1084, 267, 1246, 891, 2241, 4808, 1384, 265, 2878, 310, 792, 8825, 7802, 4995, 1879, 15025, 609, 29067, 267, 5957, 10690, 1922, 9231, 9660, 267, 1279, 19492, 1407, 267, 543, 27890, 547, 2569, 6534, 2960, 563, 265, 2878, 7230, 913, 14446, 543, 17960, 4995, 3680, 9849, 3880, 1782, 1274, 337, 902, 267, 8405, 331, 2167, 267, 610, 824, 3688, 602, 1223, 1303, 823, 513, 8049, 7782, 547, 10544, 5196, 873, 563, 265, 2878, 16605, 4552, 13615, 1394, 4995, 1403, 596, 723, 1279, 4552, 267, 17063, 621, 909, 547, 2061, 23139, 1178, 25290, 610 ]

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

[ 269, 1261, 814, 513, 23499, 4282, 267, 21214, 2866, 543, 1995, 538, 519, 4610, 540, 16758, 267, 27496, 267, 543, 7636, 7350, 269, 3571, 1382, 6212, 593, 7114, 5817, 6127, 543, 3209, 31036, 585, 1950, 2085, 5829, 3676, 267, 971, 607, 12216, 779, 2068, 267, 9761, 6797, 2068, 267, 543, 28491, 31475, 20326, 3676, 267, 676, 9001, 2551, 7400, 9631, 923, 1239, 269, 634, 23499, 2470, 540, 1010, 1382, 814, 13087, 1864, 547, 3715, 21769, 1063, 519, 2361, 540, 25731, 5735, 543, 1585, 7350, 20682, 693, 661, 6652, 16443, 14330, 543, 824, 4081, 5238, 630, 324, 3052, 269, 15875, 5441, 5507, 543, 519, 12370, 570, 13034, 269, 26960, 3427, 540, 5398, 2657, 1040, 1261, 568, 4867, 3238, 538, 1896, 630, 5793, 264, 20139, 931, 677, 807, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4643, 8767, 3117, 4109, 1145, 543, 519, 8551, 910, 10289, 7025, 543, 13505, 4149, 24594, 3203, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 1412, 23945, 8767, 3117, 4109, 1145, 262, 998, 519, 7828, 540, 1148, 267, 4481, 2519, 593, 7025, 3203, 543, 13505, 4149, 24594, 3203, 269, 1284, 786, 2253, 676, 6313, 519, 11358, 1909, 5129, 676, 519, 11599, 1412, 2662, 1961, 3047, 262, 3239, 9676, 1282, 519, 21011, 5692, 267, 799, 6039, 607, 513, 18463, 585, 14237, 513, 7104, 2631, 540, 5539, 2509, 938, 3838, 7226, 269, 1306, 649, 2263, 891, 7499, 7215, 267, 649, 2832, 547, 6536, 2565, 3206, 827, 8103, 781, 2078, 609, 2470, 543, 875, 5159, 946, 741, 960, 547, 6318, 4656, 540, 10296, 2825, 2152, 780, 296, 269, 4197, 4643, 8767, 3117, 4109, 1145, 454, 14343, 13430, 4263, 922, 4295, 267, 4643, 8767, 3117, 4109, 1145, 4016, 547, 513, 15398, 4656, 540, 519, 6946, 4296, 1063, 782, 2713, 7919, 543, 8134, 593, 3047, 267, 2059, 609, 606, 7071, 585, 938, 1747, 1369, 519, 3677, 7122, 269, 634, 4417, 540, 9682, 2029, 3177, 721, 609, 18198, 11052, 540, 938, 4541, 267, 13031, 922, 6526, 1006, 543, 5898, 899, 2760, 1354, 269, 1452, 23877, 27838, 513, 16012, 2463, 585, 519, 1604, 267, 8903, 2043, 543, 3906, 5001, 547, 13720, 14849, 2591, 6849, 938, 1158, 2221, 780, 2162, 4083, 269, 7025, 3203, 281, 17959, 543, 12472, 692, 20245, 3203, 7153, 607, 513, 3982, 9135, 538, 3210, 547, 3395, 4145, 4478, 5533, 267, 546, 13388, 1782, 2200, 267, 4683, 1646, 267, 543, 824, 27643, 5222, 269, 27505, 619, 540, 713, 3350, 8179, 547, 4161, 2757, 11994, 540, 1148, 676, 2502, 2047, 609, 2067, 8916, 543, 2326, 269, 6206, 3140, 5515, 538, 713, 2361, 1331, 7917, 8055, 5459, 630, 306, 2869, 531, 32591, 1399, 1070, 29871, 717, 9529, 18976, 630, 305, 1392, 543, 570, 1938, 1070, 543, 2441, 334, 543, 14639, 928, 4211, 5055, 8775, 630, 310, 571, 5529, 11076, 1040, 1635, 2324, 1623, 321, 3999, 1227, 7258, 2470, 267, 789, 6322, 547, 8300, 9458, 547, 556, 29264, 741, 1378, 3347, 609, 519, 1604, 780, 2971, 8633, 269, 13505, 4149, 24594, 3203, 281, 12745, 783, 1944, 3955, 6761, 692, 306, 924, 4149, 24594, 3203, 3217, 519, 10206, 540, 2825, 6278, 2417, 676, 2870, 1568, 7184, 12082, 538, 1808, 6753, 269, 6270, 4773, 1419, 4431, 2047, 547, 2199, 12583, 267, 4529, 267, 543, 2520, 13132, 267, 7551, 8716, 13588, 547, 2992, 593, 1312, 6237, 543, 2518, 2825, 2152, 269, 6201, 540, 3135, 10391, 19698, 1331, 6276, 5695, 22641, 781, 14339, 523, 9197, 831, 5741, 543, 27211, 4591, 339, 781, 6129, 570, 18365, 1564, 269, 3414, 891, 15138, 2833, 267, 5159, 16436, 4715, 2209, 547, 1106, 15982, 7554, 609, 4609, 18460, 7004, 1813, 547, 1480, 2238, 610, 2916, 1689, 780, 7462, 10001, 269, 12634, 13786, 525, 543, 8892, 19648, 692, 17457, 6377, 7025, 543, 13505, 4149, 24594, 3203, 3136, 547, 11457, 267, 6220, 6932, 4066, 543, 5499, 4485, 1247, 20808, 741, 7029, 547, 9870, 8733, 9637, 269, 10765, 3785, 899, 9986, 2378, 584, 18379, 817, 517, 781, 10979, 13772, 10380, 5031, 519, 23473, 540, 5466, 2916, 1689, 676, 11093, 4890, 7161, 540, 13621, 22260, 538, 1857, 5624, 269, 3958, 267, 10319, 5867, 971, 607, 519, 15729, 674, 732, 6202, 1788, 7520, 19929, 1063, 3744, 267, 14519, 267, 543, 5159, 547, 5352, 3860, 3435, 585, 2825, 16839, 780, 2026, 596, 4497, 609, 713, 1576, 1570, 267, 2015, 519, 1739, 2055, 1384, 265, 1215, 666, 1148, 4196, 607, 513, 6174, 585, 5009, 2825, 4656, 888, 265, 769, 1018, 2081, 798, 4207, 5159, 2232, 4798, 540, 6940, 543, 5726, 998, 741, 960, 888, 265, 1548, 1909, 1281, 9255, 1404, 538, 5935, 519, 2495, 543, 1764, 540, 13505, 4149, 24594, 3203, 2496, 3528, 9691, 6313, 891, 3584, 267, 649, 4126, 547, 15052, 707, 1620, 540, 4643, 8767, 3117, 4109, 1145, 543, 7668, 596, 547, 3565, 9797, 547, 519, 5571, 5188, 1472, 2825, 19642, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 22129, 281, 4643, 8767, 3117, 4109, 1145, 543, 519, 8551, 1107, 2904, 476, 1220, 276, 454, 280, 628, 28167, 6611, 543, 519, 8551, 22544, 543, 32600, 932, 5889, 974, 879, 543, 7467, 540, 962, 591, 18484, 268, 956, 5174, 1622, 267, 16848, 476, 866, 268, 2641, 2904, 476, 1220, 276, 563, 8368, 540, 9115, 10778, 763, 2856, 540, 2048, 23945, 8767, 3117, 4109, 1145, 685, 568, 2047, 2404, 609, 519, 4583, 3239, 540, 519, 2048, 2662, 1961, 3047, 685, 3144, 676, 519, 21011, 20691, 1107, 938, 1753, 4541, 607, 606, 6532, 540, 1272, 13735, 1996, 519, 5318, 3109, 1145, 540, 519, 26355, 269, 901, 3239, 814, 2094, 1831, 513, 24080, 17947, 3090, 1031, 8449, 676, 519, 2825, 543, 14051, 5322, 602, 20441, 2486, 2221, 269, 2201, 513, 4909, 1377, 621, 2047, 9356, 2390, 519, 25872, 543, 22524, 11163, 540, 782, 1272, 593, 3047, 543, 519, 17807, 563, 14722, 723, 5059, 741, 2230, 4066, 593, 519, 4541, 543, 723, 13175, 606, 3573, 5464, 540, 519, 1533, 540, 922, 1134, 1373, 269, 3502, 1152, 616, 2825, 543, 8733, 2242, 543, 7835, 1373, 29506, 1242, 543, 9916, 593, 606, 5571, 4493, 855, 1480, 12602, 971, 607, 2797, 543, 2113, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 7025, 1299, 8092, 3203, 1315, 13505, 4149, 24594, 3203, 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, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 1572, 3345, 4000, 267, 972, 941, 1082, 1114, 1004, 945, 5030, 1927, 269, 1358, 12038, 1114, 4654, 267, 17696, 1114, 3536, 267, 543, 20595, 1114, 9660, 269, 1809, 1256, 1498, 789, 941, 1114, 267, 789, 782, 1185, 835, 3364, 538, 1455, 910, 789, 941, 782, 3425, 2439, 3086, 267, 596, 1522, 581, 11842, 267, 1018, 1281, 621, 1611, 547, 581, 1480, 286, 4270, 267, 1373, 1480, 1797, 2713, 538, 2950, 267, 2921, 1416, 540, 1142, 824, 267, 543, 1210, 707, 9345, 547, 1118, 519, 1158, 513, 1732, 1747, 269, 1656, 835, 1259, 602, 3425, 1451, 827, 1142, 824, 543, 519, 1158, 568, 998, 1945, 1572, 1686, 780, 14532, 568, 899, 513, 2462, 1433, 602, 6645, 721, 2984, 827, 519, 2250, 269, 898, 2337, 721, 1174, 875, 1004, 5030, 267, 1018, 789, 5156, 267, 543, 875, 789, 2170, 539, 609, 1142, 824, 543, 519, 1604, 269, 1635, 4974, 1686, 267, 649, 666, 1451, 827, 1114, 4529, 543, 2081, 540, 1272, 267, 799, 2337, 721, 5660, 938, 1378, 2528, 543, 2463, 1866, 780, 1103, 3345, 4000, 267, 972, 729, 513, 942, 950, 930, 2694, 540, 519, 3148, 941, 32519, 676, 4914, 7060, 269, 16690, 1436, 568, 950, 835, 2197, 3217, 1852, 540, 1776, 2197, 781, 2244, 543, 2200, 267, 1419, 8156, 519, 1004, 945, 2661, 972, 15490, 569, 269, 901, 5949, 538, 1082, 2694, 540, 519, 1158, 267, 1519, 3345, 4000, 780, 3719, 1310, 1082, 1296, 267, 519, 1004, 540, 3345, 4000, 4956, 602, 789, 4941, 741, 7115, 1394, 269, 1358, 5249, 2182, 547, 4339, 585, 741, 2924, 543, 22624, 267, 1175, 899, 596, 1522, 1796, 909, 585, 3054, 952, 2576, 3576, 707, 11442, 1510, 6998, 269, 3414, 12560, 17600, 267, 16395, 267, 543, 3006, 1256, 11439, 9620, 267, 891, 12703, 2367, 543, 2021, 941, 2111, 547, 2744, 741, 7115, 543, 1711, 741, 1378, 2477, 780, 1607, 1974, 540, 942, 568, 1634, 607, 2022, 12258, 11102, 1143, 267, 799, 3274, 1797, 834, 12898, 19525, 1701, 4438, 713, 942, 267, 519, 1004, 540, 3345, 4000, 3323, 547, 25580, 741, 7239, 543, 11615, 267, 1247, 849, 8497, 741, 2189, 2686, 6561, 269, 1358, 3710, 3506, 267, 10506, 267, 543, 9897, 267, 543, 2813, 1007, 4031, 543, 6608, 602, 10630, 741, 2418, 543, 5389, 780, 3080, 1383, 540, 713, 568, 519, 4279, 17018, 4302, 540, 918, 1515, 537, 534, 538, 31512, 807, 269, 901, 4190, 9923, 4302, 729, 3710, 936, 476, 272, 267, 1822, 1296, 3516, 267, 1282, 513, 942, 950, 5771, 729, 10825, 2066, 3345, 4000, 269, 4653, 267, 621, 568, 1869, 606, 1271, 3090, 540, 31512, 1014, 3961, 543, 9099, 5132, 267, 22348, 3025, 540, 519, 3638, 1686, 543, 2528, 540, 519, 3148, 780, 3528, 1565, 827, 2022, 12258, 11102, 1143, 538, 3345, 4000, 267, 649, 666, 1294, 875, 1004, 666, 2097, 1927, 547, 7753, 2591, 543, 1628, 513, 1732, 2104, 585, 2933, 543, 741, 2950, 269, 1284, 666, 849, 5660, 519, 4763, 540, 1480, 2833, 543, 5380, 267, 543, 8661, 519, 1919, 602, 1118, 721, 2189, 1247, 849, 9301, 938, 3838, 8103, 780, 3383, 1985, 942, 596, 1404, 609, 707, 2828, 610, 2671, 513, 7594, 609, 707, 1920, 267, 3314, 602, 891, 616, 1806, 540, 1480, 5872, 543, 2146, 2679, 269, 1656, 676, 1373, 2186, 267, 16614, 267, 543, 1930, 16490, 267, 596, 666, 948, 1118, 519, 1158, 513, 1732, 1747, 267, 1175, 899, 519, 1004, 540, 3345, 4000, 1705, 1282, 741, 6560, 585, 7115, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23430, 540, 3778, 454, 763, 1353, 540, 1686, 568, 606, 1898, 851, 540, 513, 12666, 6575, 2069, 543, 3091, 3407, 7041, 585, 1082, 11678, 538, 1876, 267, 1870, 267, 543, 19761, 282, 538, 2199, 267, 1533, 267, 543, 3084, 2229, 282, 538, 1875, 17416, 543, 3486, 3906, 282, 543, 267, 540, 1576, 267, 538, 3140, 4610, 540, 6791, 602, 1331, 3450, 267, 8021, 267, 543, 15882, 269, 2859, 17618, 267, 676, 606, 4598, 547, 513, 3099, 540, 4529, 543, 1480, 1995, 543, 676, 2866, 538, 519, 7664, 540, 20849, 2963, 267, 519, 4972, 540, 3778, 11394, 547, 5965, 513, 1268, 585, 519, 9021, 540, 15114, 543, 585, 7231, 609, 519, 10701, 340, 885, 540, 1480, 6228, 269, 16844, 538, 519, 1686, 2101, 1982, 7512, 513, 13354, 1935, 547, 1480, 2042, 543, 24115, 2471, 1612, 5255, 658, 1143, 282, 29286, 538, 519, 1982, 8992, 606, 7071, 540, 519, 6988, 540, 1480, 12602, 543, 519, 7965, 3238, 538, 16208, 873, 269, 7053, 267, 519, 9015, 540, 1686, 22262, 9345, 543, 10763, 3206, 563, 5472, 12103, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 4211, 565, 11102, 1143, 538, 3345, 4000, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 3979, 5525, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653 ]

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

[ 2735, 278, 267, 513, 14081, 534, 31885, 729, 9783, 547, 10131, 513, 3102, 3084, 5859, 547, 30817, 2192, 3438, 2329, 3226, 1851, 519, 4079, 269, 898, 729, 6059, 693, 602, 942, 602, 519, 1297, 540, 2192, 3438, 919, 6603, 476, 273, 269, 279, 2918, 269, 28147, 267, 543, 1851, 873, 476, 272, 269, 278, 1015, 269, 10755, 2021, 563, 1103, 519, 7187, 543, 9456, 4525, 630, 2181, 16227, 3162, 29874, 1070, 519, 1297, 540, 2192, 3438, 919, 6603, 538, 476, 3422, 278, 3592, 476, 3445, 2600, 540, 519, 2551, 269, 769, 476, 3192, 274, 267, 519, 15510, 17227, 8612, 602, 741, 1297, 1226, 6817, 476, 278, 3607, 269, 23470, 269, 901, 4564, 476, 5379, 269, 273, 2600, 540, 519, 2551, 2949, 269, 9182, 267, 513, 1876, 729, 9783, 538, 476, 3192, 274, 547, 4339, 1996, 2192, 3438, 2329, 543, 2087, 2937, 2069, 4358, 689, 476, 3192, 276, 269, 1809, 267, 538, 713, 5123, 267, 22424, 564, 775, 3366, 547, 7411, 547, 3136, 741, 11645, 538, 3478, 7759, 540, 2192, 3438, 2329, 563, 26877, 3438, 2329, 661, 2784, 1709, 543, 16989, 4065, 1310, 519, 1133, 2305, 540, 29874, 454, 288, 17044, 31885, 630, 13356, 872, 3143, 269, 476, 2764, 264, 729, 9783, 538, 476, 1960, 273, 547, 1305, 909, 267, 607, 851, 540, 519, 12080, 540, 4065, 267, 513, 2192, 3438, 2329, 16701, 1709, 1560, 543, 2937, 2069, 3296, 547, 1118, 2312, 602, 1312, 616, 4105, 543, 13747, 9922, 538, 519, 6243, 540, 29874, 269, 10765, 2090, 7000, 602, 519, 1297, 540, 2192, 30185, 1004, 9782, 547, 476, 276, 269, 4343, 272, 269, 5611, 269, 901, 2333, 666, 581, 11911, 547, 513, 1297, 540, 4128, 912, 763, 2067, 2333, 540, 519, 2551, 607, 1134, 607, 519, 2551, 2208, 538, 29874, 723, 6603, 476, 274, 269, 278, 2600, 269, 634, 1292, 2601, 3297, 2192, 3438, 2329, 568, 519, 1875, 31281, 754, 766, 540, 5049, 538, 6552, 2127, 563, 2005, 568, 938, 10279, 267, 2864, 982, 519, 5539, 540, 513, 2016, 5428, 267, 547, 30817, 2192, 3438, 2329, 538, 938, 22657, 799, 814, 1044, 6849, 513, 10825, 540, 2192, 3438, 2329, 711, 1152, 1851, 519, 4079, 855, 849, 519, 1453, 269, 0, 13981, 634, 12428, 22843, 454, 9359, 513, 23008, 2065, 31660, 281, 6258, 12428, 543, 7046, 513, 2622, 540, 6762, 9177, 543, 19983, 1107, 4804, 634, 12428, 22843, 454, 1103, 513, 1158, 1141, 10665, 616, 5051, 23324, 267, 519, 12588, 547, 1921, 2066, 4529, 568, 513, 2706, 12741, 269, 2037, 9679, 18167, 883, 513, 1893, 602, 11438, 519, 2597, 540, 5553, 267, 513, 1893, 602, 711, 1152, 10741, 9885, 855, 849, 9486, 883, 519, 10731, 13795, 540, 513, 7524, 10340, 269, 901, 10409, 3460, 5956, 609, 519, 9159, 30951, 540, 12428, 267, 513, 1893, 602, 25186, 2241, 2792, 267, 4742, 513, 22045, 547, 1620, 519, 2295, 540, 606, 3504, 543, 3309, 2528, 563, 13981, 634, 12428, 22843, 281, 634, 5900, 3555, 540, 12428, 11910, 19973, 454, 28275, 519, 3460, 540, 12423, 12428, 12851, 547, 10024, 513, 30811, 1158, 1141, 1142, 4484, 568, 513, 960, 540, 1148, 267, 606, 4082, 540, 2528, 267, 1686, 267, 543, 17035, 269, 2311, 519, 2295, 540, 713, 10409, 14952, 6013, 519, 22539, 27559, 540, 12428, 30951, 269, 9521, 824, 21882, 1949, 267, 12428, 30951, 568, 711, 3274, 513, 1505, 540, 1098, 21564, 1913, 282, 621, 568, 513, 3308, 1623, 21620, 267, 513, 17866, 7544, 540, 13504, 593, 1957, 602, 4422, 3564, 519, 27217, 269, 5272, 8482, 267, 1169, 7455, 267, 568, 606, 18532, 543, 15826, 4082, 267, 16471, 1826, 543, 2495, 538, 513, 5347, 4999, 563, 288, 32106, 30951, 267, 609, 922, 3309, 6163, 899, 715, 2532, 327, 267, 4144, 342, 8643, 267, 543, 774, 592, 3578, 267, 5713, 607, 513, 2713, 21981, 547, 519, 8978, 4720, 540, 519, 12428, 7097, 269, 3962, 2511, 11438, 922, 1378, 1915, 267, 6029, 519, 12716, 22587, 540, 1114, 2127, 543, 546, 15342, 269, 715, 2532, 327, 267, 609, 922, 12166, 8856, 267, 22262, 513, 2631, 540, 3666, 543, 1931, 267, 1247, 4144, 342, 8643, 267, 609, 922, 18297, 14258, 267, 2882, 513, 5057, 540, 11419, 543, 5714, 640, 269, 774, 592, 3578, 267, 6956, 585, 922, 6905, 543, 3483, 995, 18116, 267, 24151, 513, 2631, 540, 6264, 16725, 543, 32444, 640, 269, 634, 1353, 540, 12428, 30951, 7475, 909, 1373, 711, 3274, 513, 10409, 13287, 2705, 606, 16939, 540, 606, 3504, 3308, 1893, 267, 1141, 519, 26274, 540, 519, 7768, 2262, 3587, 513, 24891, 547, 1620, 519, 9997, 540, 513, 10340, 563, 11101, 267, 12428, 30951, 11498, 3564, 519, 26441, 540, 4050, 543, 1957, 267, 8915, 532, 538, 6189, 267, 17234, 267, 543, 1256, 1554, 3562, 6377, 1919, 269, 3245, 519, 14969, 1266, 9545, 902, 740, 528, 940, 9923, 13196, 547, 519, 10347, 30996, 880, 906, 593, 6671, 23907, 267, 519, 3310, 540, 30951, 568, 9631, 30876, 6974, 538, 519, 6259, 1158, 563, 13981, 12428, 7475, 909, 1373, 513, 28241, 1995, 267, 1141, 519, 11029, 2906, 540, 4050, 26206, 543, 519, 2686, 4644, 540, 7097, 27721, 267, 5356, 6267, 513, 2027, 4960, 547, 10146, 519, 9759, 540, 4082, 538, 1312, 1106, 543, 1543, 269, 1306, 835, 4044, 919, 519, 30811, 14960, 540, 12428, 30951, 267, 519, 1893, 2781, 1162, 547, 581, 513, 2241, 2409, 540, 5872, 282, 621, 2242, 883, 513, 2713, 267, 7244, 1148, 2186, 267, 22205, 6267, 547, 1491, 851, 538, 519, 5898, 540, 513, 5553, 6040, 2688, 563, 2304, 9980, 8896, 547, 8836, 26548, 1127, 454, 19185, 883, 519, 1158, 540, 12428, 1893, 11601, 20546, 525, 519, 2627, 1858, 540, 10409, 10848, 1107, 621, 796, 331, 4169, 547, 606, 26080, 2686, 27356, 8124, 269, 12428, 568, 711, 513, 1395, 18070, 11769, 282, 2864, 267, 621, 20206, 12885, 519, 24463, 540, 3309, 16973, 17364, 519, 5664, 5101, 543, 3345, 4000, 269, 3962, 13172, 11438, 609, 621, 606, 2189, 6492, 267, 513, 21981, 547, 519, 10731, 13795, 540, 1686, 267, 4087, 267, 543, 3838, 2833, 563, 2026, 1053, 19584, 519, 10409, 5251, 267, 789, 7866, 519, 16060, 602, 15827, 1927, 519, 6386, 540, 3504, 12977, 543, 4207, 7239, 269, 634, 1353, 540, 12428, 9388, 606, 15982, 1620, 540, 6259, 5389, 267, 16419, 338, 267, 543, 1514, 11029, 2906, 269, 898, 8761, 519, 1950, 1357, 540, 4296, 538, 1063, 1893, 543, 2528, 267, 13031, 875, 18986, 1682, 267, 2161, 902, 267, 543, 1256, 10409, 4191, 909, 1397, 519, 19469, 7406, 540, 2247, 540, 606, 2043, 563, 13010, 267, 12428, 6411, 607, 513, 10409, 8115, 2066, 942, 267, 16046, 2413, 10529, 609, 519, 8106, 1568, 540, 3332, 602, 723, 2965, 4371, 909, 1996, 5553, 269, 634, 12588, 547, 1224, 519, 19621, 18627, 540, 1325, 5336, 27175, 629, 6798, 267, 2638, 856, 519, 10952, 1660, 902, 540, 594, 16818, 27538, 323, 267, 610, 6336, 13951, 538, 519, 8941, 540, 2290, 23897, 663, 543, 2290, 715, 2074, 3587, 711, 3274, 606, 4081, 13287, 855, 513, 1471, 30844, 4276, 547, 519, 7214, 9371, 540, 519, 6259, 1158, 563, 19741, 3332, 267, 12428, 3091, 5813, 883, 519, 7524, 9821, 540, 5711, 9423, 267, 12563, 2575, 267, 543, 7544, 269, 3962, 3148, 19646, 922, 1378, 3982, 2686, 19183, 267, 689, 519, 18512, 667, 629, 651, 7544, 538, 2274, 2779, 710, 4529, 547, 519, 9997, 3613, 597, 2590, 23964, 540, 1656, 31647, 1014, 2575, 538, 3345, 4000, 269, 3414, 1893, 11601, 267, 6267, 1831, 2686, 10236, 5505, 267, 24758, 519, 6106, 540, 2495, 11251, 538, 1169, 2262, 267, 4082, 267, 543, 2686, 2259, 563, 1103, 9759, 267, 519, 3460, 540, 1565, 12428, 25186, 10409, 15334, 282, 621, 3587, 513, 1780, 1636, 547, 513, 2713, 9754, 540, 1480, 1995, 269, 634, 1893, 3252, 607, 513, 8115, 547, 519, 2250, 543, 513, 6885, 547, 2221, 267, 18136, 12439, 547, 23365, 2933, 538, 513, 2686, 13795, 602, 568, 607, 3309, 607, 621, 568, 3573, 269, 1306, 6267, 1174, 519, 14960, 540, 12428, 267, 789, 12260, 711, 3274, 1913, 2705, 519, 1360, 9759, 540, 513, 10340, 602, 5170, 547, 3337, 519, 1650, 540, 938, 3486, 8378, 563, 289, 4900, 532, 519, 23008, 2065, 631, 10270, 454, 2026, 6267, 7832, 593, 519, 4241, 3460, 540, 13215, 12428, 267, 789, 2097, 2066, 513, 10409, 2978, 31307, 602, 568, 1312, 6457, 1302, 18398, 543, 21176, 1950, 269, 634, 2497, 540, 519, 12428, 1893, 5673, 593, 922, 3982, 3597, 2861, 1062, 267, 513, 1950, 3060, 602, 13462, 1913, 998, 3838, 27901, 531, 5072, 269, 901, 10409, 6189, 8591, 513, 4494, 540, 3178, 543, 30483, 267, 7432, 519, 5650, 540, 2679, 5220, 883, 513, 11015, 602, 939, 330, 976, 519, 8049, 2247, 563, 763, 12428, 7097, 267, 609, 922, 1880, 25777, 2511, 267, 2488, 6267, 609, 513, 3308, 21649, 269, 634, 5546, 540, 5022, 2981, 5705, 569, 1759, 593, 741, 2990, 538, 513, 2262, 267, 3384, 606, 8353, 24312, 24886, 543, 11733, 1227, 18297, 7097, 269, 634, 5872, 540, 15956, 543, 1019, 659, 15560, 7436, 2882, 2417, 11029, 1399, 267, 19249, 519, 2495, 543, 12332, 540, 1913, 269, 1133, 342, 4193, 519, 13655, 540, 12428, 7097, 7475, 909, 1373, 513, 3460, 883, 519, 1148, 540, 6111, 267, 1141, 1142, 4484, 568, 513, 11453, 560, 6593, 7700, 547, 519, 3677, 17198, 540, 5872, 563, 294, 1090, 3405, 538, 12428, 267, 1247, 4101, 267, 568, 513, 1883, 3693, 602, 3029, 519, 1893, 779, 1714, 13228, 775, 543, 2769, 4369, 269, 634, 14969, 7544, 540, 8231, 17788, 725, 267, 10902, 2665, 267, 543, 519, 6165, 540, 519, 12242, 1106, 267, 8761, 513, 10409, 22717, 572, 602, 6087, 16082, 540, 10834, 7543, 547, 2594, 538, 3875, 824, 4654, 269, 9457, 344, 540, 891, 10409, 10848, 16877, 6267, 547, 6655, 2035, 609, 606, 6111, 543, 17381, 602, 25186, 2241, 8144, 563, 288, 32106, 779, 10409, 2978, 31307, 11498, 3564, 922, 4013, 3889, 267, 1519, 513, 3309, 6863, 602, 9356, 519, 1893, 779, 8978, 1646, 269, 634, 3310, 540, 12428, 593, 4610, 971, 607, 6128, 267, 17651, 267, 543, 6646, 5526, 538, 519, 5458, 5542, 540, 2930, 2474, 6565, 4364, 689, 12428, 5072, 269, 18833, 12428, 267, 4061, 267, 3587, 513, 11455, 16939, 267, 8220, 711, 1152, 609, 519, 1893, 779, 4948, 6165, 2705, 11338, 609, 922, 3573, 1764, 593, 519, 10600, 540, 1620, 543, 7214, 1686, 563, 1103, 9759, 267, 10188, 519, 10409, 28618, 540, 12428, 568, 606, 7214, 7045, 269, 898, 2591, 1053, 547, 10950, 519, 6988, 267, 5660, 519, 26274, 540, 4082, 267, 543, 4497, 609, 513, 1893, 602, 814, 2965, 1044, 513, 8756, 585, 1620, 267, 1702, 267, 543, 19621, 19259, 2429, 519, 6502, 269, 1306, 1053, 21264, 519, 10409, 9479, 267, 789, 12260, 711, 1175, 513, 7154, 540, 2792, 2705, 513, 3896, 547, 513, 1158, 1141, 1893, 568, 513, 2713, 267, 7244, 11769, 267, 11179, 3384, 543, 16079, 532, 519, 3573, 2245, 540, 922, 10529, 563, 11328, 9146, 15332, 645, 7451, 454, 763, 17117, 540, 12428, 11498, 2484, 3564, 519, 32604, 540, 922, 10923, 8129, 267, 11093, 3294, 607, 513, 5001, 8115, 602, 8992, 3486, 5872, 543, 1620, 269, 1306, 835, 4991, 15334, 538, 12428, 267, 519, 9885, 2139, 547, 513, 5458, 543, 10562, 3060, 540, 12428, 10529, 7856, 1472, 519, 1158, 269, 12428, 267, 607, 835, 540, 519, 476, 277, 1292, 4654, 540, 519, 2136, 8315, 267, 6585, 513, 2027, 4567, 538, 20320, 10580, 267, 23478, 1053, 609, 519, 2645, 547, 7119, 538, 3486, 11407, 269, 4804, 634, 12428, 22843, 563, 763, 2956, 540, 12428, 538, 519, 2413, 1158, 3587, 10423, 538, 3875, 4274, 4610, 269, 3245, 19761, 547, 5001, 3028, 267, 15334, 538, 12428, 16877, 1004, 547, 6330, 519, 10848, 540, 513, 2518, 1242, 2486, 269, 1306, 519, 1158, 7475, 909, 1373, 811, 10562, 267, 519, 3747, 585, 2043, 945, 666, 2170, 3927, 2429, 2686, 543, 10409, 6302, 814, 2760, 2479, 1044, 2362, 269, 18833, 12428, 7475, 909, 1373, 711, 1152, 606, 7214, 13287, 855, 513, 28365, 10697, 267, 7393, 835, 779, 2344, 1464, 543, 6679, 9885, 547, 9867, 3924, 8458, 563, 12234, 267, 12428, 568, 519, 1893, 540, 513, 18512, 543, 27763, 29563, 269, 12428, 16973, 12732, 17407, 267, 689, 519, 5664, 5101, 547, 2342, 267, 3345, 3013, 267, 543, 3564, 269, 1635, 4466, 856, 12428, 267, 1004, 2744, 1569, 547, 513, 7524, 3486, 3060, 267, 6721, 4296, 602, 979, 3564, 18487, 10665, 269, 901, 1019, 19166, 545, 3914, 540, 519, 1893, 8591, 606, 3606, 4494, 547, 519, 2686, 16939, 267, 3850, 6267, 547, 4497, 609, 9867, 5380, 543, 2833, 1369, 519, 12428, 18702, 2146, 563, 1103, 513, 1158, 1141, 1434, 1620 ]

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

[ 538, 8204, 3309, 9163, 593, 7641, 267, 972, 3788, 960, 547, 581, 2944, 269, 25214, 267, 1978, 2516, 723, 1044, 16934, 610, 3765, 21323, 1813, 547, 11528, 12886, 543, 7130, 269, 4634, 1631, 267, 930, 5121, 28511, 5739, 11475, 543, 18351, 1143, 1107, 1210, 2582, 3197, 689, 12102, 2516, 8806, 547, 2638, 10833, 2864, 982, 3384, 1134, 25454, 1268, 553, 780, 2026, 13533, 6800, 267, 649, 1590, 3180, 2923, 3549, 18177, 585, 4023, 543, 4977, 28402, 540, 782, 9163, 269, 11559, 2828, 543, 1920, 2818, 547, 4585, 24617, 18705, 3292, 602, 8661, 4763, 543, 10014, 269, 8625, 267, 649, 666, 6536, 513, 811, 16561, 267, 12581, 1604, 1312, 593, 543, 13726, 10547, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 11328, 1613, 338, 1715, 26629, 806, 23866, 3203, 9022, 338, 774, 514, 5794, 9012, 12713, 25103, 13360, 902, 18248, 13555, 2008, 296, 715, 570, 661, 681, 966, 594, 661, 654, 590, 454, 15674, 24639, 7034, 31304, 23813, 9215, 5990, 681, 4696, 22473, 570, 3198, 8656, 21832, 306, 4041, 307, 9898, 623, 4041, 17955, 14160, 27912, 28313, 454, 14483, 2152, 267, 2621, 543, 3466, 538, 1148, 616, 513, 17259, 1055, 1448, 585, 606, 3408, 540, 2093, 602, 5749, 1405, 8209, 834, 18080, 2437, 2943, 616, 1008, 25607, 543, 2709, 513, 7828, 593, 1995, 602, 1152, 1148, 666, 1683, 269, 22456, 476, 11740, 6799, 3638, 569, 1257, 3293, 543, 14156, 22298, 2984, 602, 1413, 693, 1148, 781, 3860, 3310, 543, 13710, 1379, 538, 4948, 1272, 269, 22456, 476, 11740, 568, 513, 12353, 1397, 602, 2011, 338, 25422, 998, 5398, 15571, 4139, 269, 1280, 2053, 593, 707, 2199, 715, 11266, 6728, 267, 3643, 22456, 476, 11740, 585, 6728, 1592, 902, 563, 1103, 476, 4198, 277, 623, 25184, 548, 13643, 3893, 513, 1289, 689, 5020, 18225, 585, 513, 8666, 7084, 899, 1100, 824, 269, 634, 3484, 4884, 540, 8053, 545, 10314, 4993, 1131, 4166, 581, 24760, 896, 8235, 7137, 787, 612, 320, 543, 642, 4314, 689, 519, 3068, 540, 519, 3618, 269, 13643, 8678, 1010, 5869, 267, 519, 8666, 329, 16067, 626, 16910, 6139, 320, 700, 1052, 267, 547, 3561, 8053, 545, 10314, 781, 3803, 1032, 538, 513, 3126, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11847, 6974, 725, 540, 14740, 593, 7641, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 3778, 1299, 29576, 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, 0, 3848, 476, 1724, 281, 12619, 8862, 820, 15136, 543, 10076, 2657, 692, 1724, 269, 272, 4985, 692, 763, 1480, 1995, 568, 6353, 676, 9979, 540, 12687, 6888, 543, 3207, 267, 799, 616, 1898, 585, 4509, 6099, 2168, 267, 5042, 267, 543, 3929, 8647, 269, 1717, 267, 950, 891, 18819, 1831, 7988, 29970, 267, 2043, 949, 7237, 1585, 3207, 2914, 820, 4713, 630, 14684, 291, 1070, 11874, 18363, 741, 2949, 2298, 540, 1272, 269, 901, 3184, 786, 1445, 5097, 593, 3119, 20026, 910, 513, 11342, 17335, 291, 5702, 23091, 609, 2790, 1072, 2152, 971, 607, 4965, 543, 4160, 269, 3414, 606, 2502, 267, 2219, 4538, 2239, 267, 649, 786, 2263, 519, 1950, 2078, 1063, 20026, 543, 2790, 1072, 267, 10771, 10368, 2591, 267, 2126, 4485, 267, 543, 4052, 2994, 547, 2087, 3207, 543, 2790, 1134, 5630, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11900, 17410, 1107, 621, 779, 811, 982, 1175, 513, 3781, 540, 3983, 3207, 267, 3884, 1406, 621, 286, 594, 1205, 602, 1317, 1082, 17334, 267, 594, 4076, 17388, 609, 1964, 16531, 1932, 543, 7058, 1018, 286, 3194, 5267, 1472, 476, 2004, 260, 540, 20026, 2665, 616, 5532, 547, 2790, 1072, 2152, 899, 4965, 610, 4160, 563, 1103, 713, 2376, 267, 649, 5490, 2620, 883, 519, 4276, 1063, 20026, 543, 2790, 1072, 267, 3695, 11342, 3123, 267, 6286, 593, 1134, 5630, 267, 543, 2500, 2994, 585, 25588, 19492, 20439, 17334, 563, 4504, 29098, 286, 25529, 1472, 607, 649, 19586, 891, 30148, 13655, 1927, 2336, 268, 634, 20556, 9737, 6184, 17410, 543, 10076, 2657, 454, 268, 26616, 12694, 454, 268, 9615, 22604, 454, 268, 11150, 547, 13724, 12619, 543, 10076, 2657, 454, 268, 6184, 17410, 568, 9244, 5532, 547, 2790, 1072, 2152, 899, 4965, 543, 4160, 267, 609, 5111, 476, 2004, 260, 540, 20026, 2665, 1373, 2404, 609, 891, 2175, 563, 268, 1703, 616, 6211, 6127, 602, 1921, 20026, 543, 2790, 1072, 267, 1519, 2242, 538, 2634, 6464, 543, 21463, 538, 519, 1560, 779, 2566, 1062, 563, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28036, 8862, 820, 15136, 257, 607, 851, 540, 834, 25503, 1315, 10076, 2657, 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, 0, 3848, 476, 280, 281, 5384, 6215, 2354, 543, 27405, 1190, 5800, 1023, 692, 5331, 6679, 513, 7450, 543, 19480, 998, 621, 267, 1152, 547, 1265, 3054, 711, 538, 707, 23103, 15042, 855, 538, 513, 4625, 1114, 1747, 543, 942, 269, 16319, 899, 1945, 856, 540, 513, 2257, 5708, 7260, 267, 1318, 286, 4270, 267, 602, 781, 519, 2856, 3297, 942, 2951, 267, 543, 4481, 267, 942, 1793, 2354, 543, 12357, 2823, 1023, 269, 2913, 781, 4685, 883, 713, 4241, 1523, 2439, 1432, 616, 5384, 6215, 2354, 543, 27405, 1190, 5800, 1023, 888, 14343, 15365, 11742, 1793, 2354, 543, 12357, 2823, 1023, 616, 9259, 1141, 1004, 3100, 547, 10393, 1847, 998, 942, 543, 2230, 1510, 1022, 9266, 7778, 269, 589, 942, 17277, 1223, 3560, 596, 547, 519, 2250, 610, 2104, 267, 1247, 513, 22045, 1522, 1491, 596, 547, 1776, 4087, 7357, 269, 1452, 2035, 1419, 2408, 538, 2984, 827, 9059, 267, 14810, 267, 543, 2257, 5708, 780, 2162, 4197, 5384, 6215, 2354, 692, 288, 942, 17277, 568, 2147, 547, 17259, 4464, 610, 18807, 593, 513, 15415, 269, 1411, 949, 2743, 2576, 945, 5030, 5553, 3516, 267, 1995, 3140, 2621, 20250, 267, 610, 7198, 875, 3047, 1522, 1413, 5215, 540, 1296, 689, 1631, 269, 1717, 267, 2899, 596, 2132, 547, 519, 1459, 630, 604, 596, 666, 1070, 972, 1131, 581, 1100, 6169, 602, 707, 3460, 2479, 5949, 2094, 267, 689, 3025, 3116, 781, 5133, 267, 1100, 942, 1185, 2965, 5293, 780, 2971, 10289, 6201, 692, 265, 769, 834, 763, 5384, 12567, 2437, 676, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 3036, 17162, 11553, 3633, 8453, 306, 11123, 476, 1001, 274, 2005, 568, 2352, 547, 917, 4010, 950, 930, 3270, 786, 8915, 538, 519, 2168, 1158, 267, 610, 2436, 519, 2621, 786, 723, 1447, 610, 811, 1764, 538, 2474, 540, 1018, 729, 2283, 539, 25656, 269, 594, 4043, 547, 581, 4608, 2335, 1176, 4977, 3006, 267, 543, 693, 824, 2053, 594, 6557, 1296, 1055, 267, 609, 1100, 1259, 547, 917, 693, 519, 942, 950, 513, 4806, 568, 13603, 909, 269, 1809, 1250, 6891, 10274, 4043, 547, 581, 3810, 4977, 267, 7488, 269, 6884, 1256, 594, 4043, 547, 581, 27086, 950, 1250, 11236, 2097, 3020, 256, 901, 1032, 1082, 540, 2063, 1032, 779, 11236, 786, 3136, 547, 581, 1713, 256, 898, 568, 4443, 547, 1294, 2621, 982, 4010, 950, 789, 786, 1098, 335, 790, 269, 634, 7629, 4288, 540, 5384, 256, 263, 14006, 539, 5412, 476, 1240, 267, 476, 1001, 273, 264, 1103, 1082, 24947, 519, 11236, 540, 476, 1001, 272, 543, 476, 1001, 273, 1869, 3180, 32022, 269, 634, 11173, 19236, 3344, 616, 2870, 1713, 8863, 20315, 2464, 593, 1082, 1114, 2157, 538, 519, 2622, 540, 8745, 543, 4813, 269, 7490, 3972, 707, 26756, 543, 2628, 2673, 3007, 547, 707, 20932, 693, 782, 2053, 547, 3251, 521, 2033, 543, 2922, 269, 3918, 3036, 294, 3198, 22003, 9569, 786, 1831, 519, 676, 5320, 585, 476, 1001, 274, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11742, 6215, 2354, 270, 7069, 3122, 1190, 5800, 1023, 257, 607, 851, 540, 834, 16300, 16337, 1315, 3163, 11470, 1315, 5384, 13488, 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, 0, 15536, 9798, 8889, 281, 27986, 21041, 538, 519, 7913, 6520, 692, 1103, 2221, 781, 3059, 2085, 267, 2166, 1499, 10628, 814, 1831, 606, 7533, 851, 540, 938, 3232, 2729, 269, 3245, 1514, 1944, 543, 10918, 547, 12948, 543, 2324, 267, 649, 5051, 7048, 593, 519, 4950, 585, 1585, 2238, 269, 2755, 2029, 3091, 3875, 2640, 267, 621, 849, 12651, 1950, 3609, 2152, 4478, 7834, 267, 3354, 267, 543, 3540, 23118, 269, 2290, 971, 3390, 25701, 547, 703, 6350, 687, 883, 1514, 2923, 6589, 543, 741, 6286, 585, 1367, 7834, 543, 13338, 20038, 269, 901, 3184, 12538, 883, 891, 4145, 267, 6313, 519, 3656, 5943, 12044, 1514, 2923, 13178, 267, 922, 1764, 593, 3755, 262, 7834, 2924, 267, 543, 1761, 3609, 6114, 780, 272, 269, 4197, 519, 13751, 23721, 281, 634, 19549, 14821, 543, 4317, 9012, 24028, 11462, 692, 763, 19549, 14821, 547, 519, 2136, 2276, 9139, 18715, 4961, 4027, 1996, 11389, 32208, 19707, 543, 17465, 269, 898, 23616, 12885, 602, 3406, 11562, 1218, 1590, 581, 1759, 593, 21483, 2014, 543, 9783, 676, 513, 9243, 4012, 626, 3433, 269, 1717, 267, 8159, 1018, 13054, 513, 10257, 20772, 540, 7834, 538, 519, 2796, 540, 1514, 2923, 13514, 2189, 2591, 269, 1306, 519, 10966, 7040, 7074, 538, 15576, 345, 642, 269, 2136, 2276, 630, 3422, 278, 1070, 6788, 540, 7834, 949, 8428, 538, 1114, 5468, 269, 1280, 3236, 267, 1247, 7391, 538, 513, 6049, 1630, 1054, 2972, 930, 1377, 540, 4027, 267, 2043, 723, 7864, 6788, 540, 7834, 950, 1210, 513, 1857, 2628, 7483, 269, 6684, 267, 10470, 723, 17388, 547, 5581, 519, 6302, 540, 7834, 538, 519, 3059, 7706, 267, 3226, 3823, 1514, 2923, 5867, 780, 320, 264, 654, 1551, 656, 2861, 1569, 547, 1514, 2923, 1239, 281, 1879, 22602, 3343, 547, 3489, 4357, 1514, 2923, 5638, 998, 513, 15549, 267, 789, 3335, 1246, 3964, 5773, 896, 519, 853, 1819, 18058, 2920, 630, 306, 7563, 1040, 2037, 716, 539, 538, 476, 2735, 277, 607, 851, 540, 519, 18329, 18058, 21041, 2920, 630, 4488, 5183, 1070, 519, 590, 7563, 21560, 2229, 1569, 547, 5907, 10618, 6740, 676, 3028, 7426, 269, 22353, 267, 1876, 11268, 8041, 666, 7662, 3593, 1239, 689, 1514, 2923, 3549, 676, 9306, 513, 4570, 15549, 269, 1403, 9516, 267, 519, 2754, 1590, 30035, 519, 16761, 1344, 547, 519, 8128, 780, 321, 264, 21816, 776, 23930, 543, 3791, 18407, 14985, 281, 15766, 2209, 949, 849, 3801, 547, 4931, 1203, 519, 15549, 10421, 676, 16565, 3593, 1239, 998, 17319, 12607, 17007, 676, 2828, 610, 1920, 2818, 610, 676, 2870, 16995, 12632, 547, 3659, 519, 3077, 1367, 269, 1452, 4485, 6318, 2055, 827, 2436, 519, 19549, 14821, 10039, 547, 1344, 3838, 32380, 610, 15600, 998, 632, 21082, 1797, 269, 30271, 3622, 15666, 547, 519, 3791, 18407, 14985, 1765, 14140, 13994, 4327, 538, 8055, 642, 269, 15930, 630, 3192, 280, 28931, 6518, 6585, 602, 2043, 798, 711, 723, 513, 10257, 20772, 540, 7834, 538, 1344, 789, 32380, 2671, 609, 3791, 6105 ]

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

[ 2123, 1272, 267, 2219, 267, 543, 2932, 267, 607, 1134, 607, 1346, 11341, 547, 2797, 543, 454, 25791, 2932, 543, 4655, 1848, 264, 630, 638, 21320, 7436, 31360, 1916, 7661, 267, 15516, 269, 14351, 2023, 733, 1742, 602, 519, 1876, 568, 796, 6247, 3191, 958, 22394, 267, 799, 454, 2889, 3031, 1080, 519, 6006, 335, 4979, 540, 15963, 693, 1753, 585, 1753, 8878, 269, 1809, 519, 5822, 14821, 454, 23181, 338, 519, 1318, 547, 4865, 9604, 547, 8190, 968, 320, 22510, 2486, 1848, 4173, 526, 517, 267, 476, 4281, 278, 454, 306, 15030, 269, 273, 323, 693, 476, 6642, 269, 1656, 267, 607, 11609, 676, 519, 10966, 7040, 779, 11495, 1524, 4031, 602, 454, 2889, 3031, 1243, 7784, 9562, 15587, 267, 670, 11839, 267, 476, 4649, 275, 772, 2529, 269, 693, 476, 277, 2918, 1700, 3066, 267, 607, 1134, 607, 23380, 730, 454, 331, 9155, 602, 16094, 454, 1432, 779, 1715, 538, 519, 888, 301, 16197, 545, 3679, 568, 606, 1271, 1362, 540, 5061, 609, 1761, 7839, 3156, 538, 519, 2126, 540, 3676, 543, 519, 2126, 540, 5563, 538, 3425, 543, 824, 2831, 269, 715, 16197, 545, 3679, 5061, 1331, 24431, 1619, 23731, 31265, 582, 1938, 543, 23313, 11748, 630, 11748, 13779, 264, 5061, 269, 1879, 891, 5061, 616, 4294, 1283, 1227, 267, 789, 616, 3144, 909, 883, 2281, 540, 519, 3077, 5160, 676, 1439, 26014, 2670, 269, 589, 31332, 3679, 3075, 602, 568, 3144, 909, 676, 606, 29296, 31332, 3679, 13805, 786, 581, 5827, 540, 15025, 609, 922, 29296, 3077, 269, 634, 5872, 786, 2049, 538, 519, 1591, 32594, 543, 949, 1267, 538, 519, 11852, 540, 519, 1591, 2669, 13374, 269, 589, 31332, 3679, 3075, 602, 568, 3144, 909, 883, 2281, 676, 606, 29414, 13805, 786, 581, 2111, 547, 2170, 609, 922, 29414, 3077, 543, 949, 581, 5827, 540, 1437, 908, 519, 1591, 2669, 13374, 563, 303, 3766, 569, 19817, 4710, 514, 630, 303, 3766, 335, 264, 568, 519, 1292, 2498, 12999, 6802, 585, 1082, 24802, 1271, 5061, 543, 31332, 3679, 5061, 267, 1312, 538, 20117, 543, 538, 24155, 269, 1280, 1383, 267, 2101, 5061, 267, 971, 607, 31390, 26569, 1314, 601, 267, 798, 343, 528, 889, 545, 514, 267, 543, 13005, 684, 528, 889, 545, 514, 267, 602, 616, 16487, 676, 623, 3766, 335, 616, 1142, 1634, 547, 581, 24802, 3742, 1996, 513, 1297, 540, 10510, 2010, 269, 769, 1840, 267, 7213, 6819, 2963, 2982, 602, 31332, 3679, 5061, 616, 849, 26828, 585, 623, 3766, 335, 267, 543, 31332, 3679, 5061, 9447, 547, 513, 3077, 5160, 585, 8156, 519, 3077, 5160, 4043, 547, 581, 1641, 547, 2498, 12999, 676, 623, 3766, 335, 543, 824, 2498, 12999, 15450, 538, 519, 3077, 5160, 269, 623, 3766, 335, 17767, 519, 3075, 607, 513, 14041, 543, 15450, 519, 3075, 856, 540, 519, 1591, 563, 288, 3075, 602, 568, 513, 14041, 585, 623, 3766, 335, 568, 4061, 3335, 16934, 689, 1585, 8031, 267, 971, 607, 519, 3844, 8401, 1062, 630, 290, 10064, 1070, 543, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 1040, 634, 17181, 540, 5061, 689, 519, 2634, 568, 17941, 968, 25218, 8401, 1062, 630, 290, 10064, 264, 2427, 2360, 6100, 634, 17181, 540, 5061, 689, 519, 645, 17668, 568, 17941, 968, 14528, 17219, 9731, 300, 525, 26067, 2096, 531, 588, 668, 531, 2281, 630, 5960, 12336, 264, 616, 513, 1826, 540, 1875, 3620, 320, 14670, 641, 16211, 2045, 267, 6687, 582, 550, 1591, 602, 568, 1419, 1336, 538, 519, 5642, 20768, 269, 634, 9049, 12336, 1599, 607, 513, 7293, 1489, 1770, 267, 2226, 519, 688, 14670, 641, 16211, 2045, 6565, 2281, 543, 1404, 513, 1909, 538, 519, 7816, 540, 8697, 8031, 543, 8219, 267, 971, 607, 1973, 8043, 267, 5642, 267, 20162, 267, 3170, 267, 5642, 20768, 543, 4887, 269, 769, 519, 2126, 540, 2068, 610, 8194, 267, 519, 6565, 2281, 949, 581, 16220, 454, 21902, 21976, 1280, 8281, 1677, 26598, 12229, 912, 4263, 519, 4090, 972, 616, 1100, 1634, 2152, 609, 713, 1110, 267, 855, 1832, 538, 2247, 621, 729, 3710, 585, 1250, 1378, 946, 543, 594, 993, 1100, 6392, 593, 621, 610, 1022, 540, 621, 779, 2934, 267, 865, 952, 1945, 9397, 585, 596, 1287, 621, 729, 513, 12161, 602, 666, 581, 3362, 6378, 563, 1607, 1110, 3340, 3733, 5890, 11228, 4826, 3143, 14794, 676, 715, 4157, 518, 267, 799, 596, 666, 4647, 1934, 563, 1607, 1110, 30283, 782, 519, 24470, 538, 519, 3014, 609, 519, 3312, 5736, 20004, 5036, 267, 4849, 585, 519, 835, 20004, 1305, 538, 1312, 519, 8606, 0, 294, 2958, 590, 1794, 9874, 267, 5369, 12278, 8648, 281, 1411, 666, 1406, 1930, 513, 11356, 610, 19584, 513, 1072, 3896, 891, 2395, 1510, 7487, 519, 5767, 30437, 16499, 11102, 547, 519, 2640, 540, 9066, 2866, 269, 8616, 1152, 513, 1507, 15410, 540, 24004, 28748, 2965, 2259, 9066, 267, 543, 7864, 1869, 6451, 4656, 2866, 883, 741, 1907, 6539, 538, 8156, 741, 2550, 269, 898, 779, 711, 607, 952, 972, 814, 1044, 606, 9000, 540, 3007, 547, 9066, 538, 519, 2790, 1072, 2146, 269, 634, 1568, 540, 3220, 338, 13744, 28763, 520, 19053, 4883, 267, 4460, 9210, 7322, 267, 9370, 3873, 7412, 7315, 267, 543, 1866, 607, 1134, 607, 811, 2487, 1382, 723, 18674, 9066, 779, 993, 601, 1640, 894, 1198, 593, 6693, 17595, 1108, 543, 9066, 454, 20694, 17793, 1457, 320, 267, 645, 4916, 3194, 6226, 652, 281, 16723, 1382, 883, 9066, 814, 11566, 569, 5059, 593, 922, 5042, 4539, 267, 6236, 519, 2259, 607, 513, 2186, 540, 2866, 585, 3007, 543, 7180, 1852, 267, 1927, 609, 2566, 10970, 2747, 269, 1809, 31658, 5389, 1118, 2484, 9962, 6811, 585, 9066, 267, 971, 607, 602, 621, 2337, 9439, 11349, 6161, 585, 519, 10304, 540, 1866, 269, 589, 1007, 1353, 538, 519, 4760, 32313, 7028, 713, 5133, 267, 1210, 513, 11826, 2268, 540, 3929, 3210, 547, 1397, 4191, 540, 8476, 8296, 1739, 14021, 267, 1279, 3856, 9066, 563, 292, 27996, 25347, 6199, 693, 519, 2160, 540, 4993, 267, 16026, 543, 1200, 6693, 13051, 16511, 7773, 267, 18726, 17402, 5741, 281, 769, 519, 1158, 540, 21911, 543, 18465, 2134, 1108, 267, 11009, 814, 4810, 513, 16854, 2179, 540, 3007, 5063, 2443, 6140, 1317, 538, 1082, 540, 519, 2591, 540, 519, 2247, 621, 568, 2322, 909, 1996, 267, 11009, 814, 535, 1563, 1360, 1134, 2443, 7900, 607, 1134, 607, 630, 528, 1732, 982, 264, 3075, 11257, 538, 930, 2665, 563, 21790, 6888, 568, 31045, 676, 519, 1977, 9839, 5948, 630, 288, 11190, 264, 607, 513, 15324, 3797, 585, 9025, 2068, 543, 789, 849, 4363, 11009, 607, 513, 4640, 585, 31952, 11661, 563, 4913, 267, 585, 13500, 543, 2550, 547, 4628, 12260, 6693, 1607, 568, 513, 1455, 2606, 3635, 538, 11009, 1107, 513, 2259, 6508, 689, 14418, 9066, 602, 3322, 9878, 3007, 547, 519, 6693, 298, 987, 787, 333, 667, 1195, 548, 267, 1234, 26407, 281, 20390, 30105, 8655, 547, 513, 11009, 9066, 1982, 7902, 547, 723, 9283, 538, 3965, 538, 513, 2487, 1353, 563, 2108, 4322, 2164, 616, 5812, 609, 513, 3395, 1560, 540, 1382, 538, 4079, 602, 814, 1336, 11009, 9066, 547, 581, 513, 5363, 1907, 585, 7393, 2324, 3965, 4390, 2223, 1767, 26701, 523, 661, 269, 808, 770, 4900, 7288, 2494, 334, 540, 519, 6530, 8257, 693, 519, 2160, 540, 595, 32385, 10620, 267, 945, 1071, 2246, 23482, 519, 1007, 1353, 563, 763, 3173, 14477, 5258, 476, 2735, 1857, 1647, 1153, 1053, 883, 1614, 2516, 281, 11009, 9066, 267, 554, 24048, 10649, 610, 513, 7227, 4289, 269, 4107, 1053, 941, 4775, 267, 6502, 476, 1321, 547, 476, 1428, 267, 543, 689, 1970, 13867, 10820, 602, 11727, 585, 4389, 21057, 12899, 563, 6524, 519, 1353, 3459, 543, 6693, 3080, 540, 519, 1034, 4277, 2090, 594, 4076, 2479, 2938, 729, 676, 6276, 6755, 928, 321, 6033, 267, 513, 2160, 540, 7147, 6530, 7548, 267, 543, 1744, 27553, 654, 2830, 8124, 853, 597, 2006, 267, 945, 568, 1631, 12314, 7548, 540, 2618, 17226, 693, 11785, 2160, 3427, 540, 6925, 563, 22437, 1115, 616, 3226, 12155, 547, 2921, 741, 1378, 2729, 267, 543, 6755, 928, 321, 6033, 543, 853, 597, 2006, 941, 5461, 547, 1294, 952, 519, 12591, 540, 15023, 945, 1185, 7166, 2933, 8659, 10409, 10881, 602, 1223, 723, 10567, 741, 12556, 269, 1358, 20083, 1927, 267, 676, 2085, 267, 5736, 267, 22874, 267, 3872, 4282, 267, 543, 3023, 267, 15023, 945, 1185, 543, 1185, 711, 7166, 2933, 267, 543, 10443, 741, 1568, 998, 513, 2780, 1982, 602, 6743, 585, 3270, 538, 519, 1893, 789, 1031, 563, 1432, 789, 1336, 729, 602, 519, 15023, 945, 1185, 7166, 2933, 941, 2484, 811, 1582, 18022, 22460, 982, 1346, 945, 22821, 1406, 269, 9406, 689, 519, 4098, 267, 1346, 945, 8694, 909, 22867, 11980, 1031, 519, 1913, 968, 296, 2223, 968, 1889, 2223, 543, 968, 3240, 892, 538, 741, 12591, 2484, 811, 1419, 982, 1346, 945, 5747, 6923, 610, 616, 1869, 9800, 269, 4746, 267, 519, 29047, 15023, 2968, 5051, 1582, 18022, 22460, 607, 942, 5293, 267, 1210, 1101, 1268, 13737, 21770, 811, 543, 811, 1419, 267, 1318, 909, 2394, 789, 3576, 741, 1378, 2729, 563, 22437, 1115, 945, 4769, 1406, 6146, 2933, 267, 593, 519, 824, 1688, 267, 1031, 1346, 1913, 811, 10355, 267, 543, 3079, 5219, 811, 1419, 547, 968, 933, 2223, 968, 639, 2223, 543, 968, 2293, 892, 1765, 6919, 602, 7842, 513, 2631, 540, 4276, 269, 1656, 1346, 1913, 941, 1031, 811, 543, 811, 1419, 936, 519, 1576, 540, 741, 2729, 563, 8512, 540, 938, 14555, 6645, 721, 602, 952, 649, 1616, 547, 581, 6126, 649, 991, 547, 1445, 593, 968, 15893, 835, 1848, 1656, 2943, 267, 607, 519, 16452, 715, 559, 26856, 5152, 3081, 267, 968, 3080, 568, 519, 10693, 601, 5006, 1297, 1848, 4045, 532, 609, 1866, 267, 543, 3976, 4227, 938, 1445, 593, 6000, 267, 568, 606, 1271, 1106, 540, 3929, 10889, 1359, 267, 4543, 721, 547, 4308, 609, 1272, 779, 22705, 543, 17498, 267, 543, 849, 3246, 519, 3638, 543, 16138, 5109, 1995, 540, 15962, 543, 1373, 6068, 269, 8409, 945, 31028, 543, 11198, 883, 2933, 1995, 3152, 7092, 267, 547, 519, 6708, 602, 1272, 666, 1831, 30898, 792, 762, 563, 3383, 1018, 1281, 713, 2995, 721, 827, 1582, 16327, 6842, 286, 2991, 782, 267, 3884, 1406, 519, 2262, 968, 1345, 892, 1318, 972, 538, 519, 2012, 286, 6496, 713, 1611, 602, 2519, 593, 6000, 1522, 2965, 1118, 721, 1447, 6126, 888, 1103, 1582, 16327, 6842, 267, 835, 851, 540, 721, 15920, 8296, 547, 513, 7092, 851, 540, 6000, 267, 711, 1317, 519, 7092, 851, 540, 721, 568, 513, 851, 540, 721, 267, 855, 3274, 1317, 8296, 568, 519, 3617, 3210, 547, 1928, 269, 898, 3085, 1406, 2965, 2339, 2436, 519, 7092, 568, 3330, 721, 610, 3544, 721, 267, 851, 540, 721, 610, 711, 851, 540, 721, 9789, 17519, 851, 540, 721, 814, 8296, 585, 7092, 1317, 602, 779, 1018, 7092, 2115, 563, 1103, 513, 1259, 972, 779, 1100, 971, 3364, 607, 968, 1345, 16327, 6842, 1848, 1703, 779, 1175, 968, 4818, 6842, 1848, 1703, 779, 1175, 519, 7287, 547, 1416, 585, 4376, 602, 779, 7092, 267, 543, 547, 4894, 519, 7092, 952, 2009, 267, 609, 1100, 2543, 547, 2436, 621, 779, 968, 712, 892, 7092, 610, 711, 269, 1635, 14237, 8296, 585, 7092, 1369, 6000, 267, 649, 8850, 1831, 811, 17519, 4724, 1866, 267, 543, 3976, 1831, 811, 4448, 547, 873, 267, 543, 3976, 1831, 18668, 269, 2060, 1582, 16327, 6842, 649, 1810, 1406, 1294, 6000, 607, 1114, 689, 1866, 1317, 540, 938, 7092, 267, 855, 1294, 6000, 607, 4448, 547, 1866, 1317, 649, 782, 7985, 563, 25486, 700, 4157, 1080, 267, 9931, 9335, 4750, 281, 654, 4770, 519, 8286, 949, 581, 513, 10375, 19140, 585, 7670, 3754, 8186, 267, 513, 1353, 538, 519, 4760, 24238, 5267, 269, 634, 1353, 1336, 602, 11067, 8286, 2247, 2685, 1765, 325, 1371, 532, 593, 519, 9329, 540, 519, 12853, 267, 543, 519, 3337, 543, 1745, 540, 519, 8286, 267, 585, 1383, 1765, 338, 20138, 14688, 4389, 8401, 1145, 543, 2799, 2790, 14242, 538, 8670, 13195, 1667, 3379, 609, 513, 1852, 1895, 563, 21790, 995, 8670, 31290, 849, 15398, 519, 2631, 540, 942, 5418, 553, 12350, 569, 23646, 1524, 269, 5525, 723, 2404, 12012, 942, 8226, 609, 3152, 5626, 1134, 5630, 267, 519, 3173, 1767, 563, 21790, 6888, 4016, 1312, 547, 513, 12560, 5042, 1533, 543, 513, 2442, 1106, 540, 9354, 9066, 602, 1608, 916, 519, 2247, 6693, 305, 12505, 631, 269, 15281, 655, 773, 322 ]

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

[ 263, 1015, 994, 328, 815, 476, 271, 454, 339, 273, 815, 1592, 6025, 272, 994, 2745, 630, 339, 273, 994, 2745, 630, 339, 272, 994, 12163, 1721, 512, 538, 512, 272, 10778, 825, 1820, 630, 339, 994, 825, 512, 273, 815, 512, 273, 27044, 9217, 267, 512, 994, 825, 1948, 512, 273, 5157, 316, 815, 512, 454, 825, 1775, 6834, 476, 272, 692, 339, 272, 314, 272, 316, 815, 476, 275, 454, 2745, 630, 339, 273, 994, 18851, 0, 321, 272, 815, 6936, 1948, 1630, 18978, 454, 321, 272, 815, 8771, 692, 1415, 2251, 4692, 6826, 22517, 18978, 815, 6936, 692, 258, 1630, 18978, 666, 692, 345, 272, 815, 834, 12148, 257, 1948, 21642, 454, 345, 273, 815, 834, 16178, 5016, 604, 536, 272, 912, 825, 1820, 2891, 22517, 18978, 568, 3020, 5602, 12828, 912, 825, 1820, 2891, 22517, 18978, 568, 7301, 15419, 3698, 1039, 19617, 3287, 272, 267, 1535, 273, 267, 1535, 274, 2187, 825, 952, 1535, 274, 2652, 630, 343, 272, 1341, 1535, 273, 2187, 1038, 2132, 834, 12148, 4840, 825, 3116, 912, 1038, 2132, 834, 16178, 5016, 4958, 272, 815, 1039, 19617, 263, 1839, 267, 4817, 267, 6344, 994, 2745, 263, 4958, 272, 994, 4958, 273, 815, 1039, 19617, 263, 10219, 267, 4817, 267, 19442, 994, 2745, 263, 4958, 273, 2020, 604, 1427, 272, 2652, 834, 12148, 13426, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 15419, 604, 1427, 273, 2652, 834, 12148, 13426, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 15419, 3698, 1039, 19617, 22517, 18978, 3287, 272, 267, 1535, 273, 267, 1535, 274, 2187, 825, 952, 1535, 274, 2652, 630, 343, 272, 1341, 1535, 273, 2187, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 4958, 272, 815, 1039, 19617, 22517, 18978, 263, 1839, 267, 4817, 267, 6344, 994, 4958, 273, 815, 1039, 19617, 22517, 18978, 263, 10219, 267, 4817, 267, 19442, 2020, 604, 1427, 272, 912, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 15419, 604, 1427, 273, 912, 825, 1820, 2891, 5417, 19617, 1568, 5602, 12828, 912, 825, 1820, 2891, 5417, 19617, 11298, 2464, 10691, 960, 8442 ]

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

[ 1648, 9131, 21328, 18242, 829, 7167, 7534, 11172, 815, 1648, 9131, 21328, 18242, 829, 7167, 7534, 11172, 2608, 476, 1911, 1822, 271, 22562, 825, 1948, 935, 3200, 782, 1412, 1862, 262, 1239, 547, 5286, 8542, 534, 454, 825, 1648, 9131, 21328, 18242, 11172, 815, 1648, 9131, 21328, 18242, 262, 4940, 935, 3200, 318, 15953, 338, 263, 935, 3200, 5332, 10179, 545, 18989, 994, 825, 1648, 9131, 21328, 18242, 829, 7167, 7534, 11172, 815, 1648, 9131, 21328, 18242, 829, 7167, 7534, 262, 4940, 935, 3200, 318, 15953, 338, 263, 935, 3200, 5332, 10179, 545, 18989, 994, 825, 1648, 22562, 825, 1948, 1066, 877, 2477, 454, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 16868, 262, 314, 271, 268, 280, 316, 3299, 1412, 5073, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 16868, 262, 1422, 263, 30818, 315, 264, 3299, 1412, 5073, 8931, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 11847, 3016, 540, 9705, 2580, 834, 21026, 9705, 5602, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 18197, 2276, 540, 3013, 2580, 834, 18197, 2276, 5602, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 18197, 8003, 540, 4279, 6628, 543, 8832, 8581, 2580, 834, 18197, 8003, 5602, 825, 1648, 9131, 15575, 787, 11172, 815, 1648, 9131, 15575, 787, 262, 4940, 1598, 18622, 2897, 2891, 19770, 267, 15173, 15158, 7981, 8556, 13577, 16323, 2580, 834, 295, 784, 15158, 5602, 8931, 825, 1948, 14140, 476, 274, 9343, 616, 10145, 267, 476, 275, 628, 814, 519, 6241, 4408, 269, 849, 6749, 1022, 3515, 602, 616, 782, 14255, 454, 825, 12654, 815, 19073, 18667, 32269, 3488, 16447, 10734, 1678, 27406, 3299, 18178, 4900, 284, 274, 267, 20927, 18989, 994, 825, 12654, 6155, 1886, 3534, 263, 6011, 6889, 718, 2580, 538, 2897, 18989, 994, 8931, 825, 1948, 1066, 877, 2197, 2418, 454, 825, 12654, 9131, 15575, 787, 8745, 11172, 815, 12654, 9131, 15575, 787, 8745, 262, 4940, 1598, 18622, 2897, 2891, 298, 648, 320, 267, 3115, 1701, 267, 834, 21026, 9705, 5602, 825, 12654, 9131, 15575, 787, 8745, 11172, 815, 12654, 9131, 15575, 787, 8745, 262, 4940, 1598, 18622, 2897, 2891, 296, 3757, 267, 9099, 3115, 1701, 267, 834, 296, 3757, 5602, 825, 12654, 9131, 15575, 787, 8745, 11172, 815, 12654, 9131, 15575, 787, 8745, 262, 4940, 1598, 18622, 2897, 2891, 295, 784, 15158, 590, 2752, 267, 3624, 2580, 834, 295, 784, 15158, 5602, 8931, 825, 1948, 18431, 17093, 910, 11634, 328, 6210, 530, 13474, 454, 825, 2480, 574, 5319, 815, 19073, 18667, 318, 1410, 4897, 3488, 2675, 574, 6210, 329, 337, 268, 274, 11859, 3149, 343, 5073, 8931, 825, 1948, 1015, 269, 15012, 519, 1614, 14449, 281, 12654, 267, 6052, 267, 543, 2480, 574, 5319, 883, 513, 1007, 10471, 3097, 825, 1948, 1015, 321, 269, 630, 6748, 519, 10167, 540, 2197, 4408, 994, 825, 1948, 326, 1161, 513, 20868, 5048, 6031, 621, 1705, 660, 6460, 873, 607, 27033, 1712, 267, 14648, 21376, 454, 825, 824, 273, 815, 19073, 269, 1067, 613, 263, 24479, 267, 12654, 267, 875, 8782, 3847, 3299, 2451, 318, 517, 6889, 15575, 787, 2580, 1318, 318, 517, 6889, 15575, 787, 8745, 5602, 825, 17093, 815, 19073, 269, 1067, 613, 263, 9928, 574, 5319, 267, 824, 273, 267, 875, 8782, 3847, 3299, 2451, 318, 517, 6889, 15575, 787, 2580, 1318, 318, 517, 6889, 15575, 787, 5602, 8931, 825, 1948, 1015, 322, 269, 2422, 1152, 519, 2063, 476, 1015, 1296, 630, 1220, 277, 268, 1001, 276, 264, 540, 12654, 1239, 543, 3097, 825, 1948, 1015, 323, 269, 1152, 519, 1283, 476, 1428, 2477, 676, 2480, 574, 6210, 329, 337, 1412, 305, 1678, 262, 630, 305, 1678, 476, 272, 998, 476, 1428, 1916, 825, 1832, 815, 18358, 15575, 787, 3299, 1412, 305, 1678, 3299, 1412, 291, 665, 3701, 3299, 1412, 290, 3386, 6054, 3299, 1412, 290, 14591, 3299, 1412, 20236, 2275, 14591, 3299, 315, 454, 825, 1412, 290, 14591, 829, 3561, 3299, 1412, 295, 4994, 3299, 1412, 21328, 18242, 3299, 315, 454, 825, 1412, 21328, 18242, 829, 7167, 7534, 3299, 1412, 260, 24997, 3299, 1412, 1220, 277, 3299, 1412, 1220, 278, 3299, 1412, 1220, 279, 3299, 315, 454, 825, 1412, 1220, 280, 3299, 1412, 1001, 271, 3299, 1412, 1001, 272, 3299, 1412, 1001, 273, 3299, 1412, 1001, 274, 3299, 1412, 1001, 275, 3299, 1412, 1001, 276, 23300, 825, 17093, 815, 17093, 314, 18141, 2639, 825, 2132, 7003, 29254, 994, 24987, 4671, 6851, 10797, 258, 2999, 1962, 11417, 258, 3097, 258, 8382, 519, 1739, 2055, 585, 1152, 519, 1283, 476, 1428, 2477, 676, 2480, 574, 6210, 329, 337, 24419, 3097, 258, 263, 10440, 519, 4578, 20988, 8120, 676, 2387, 24987, 318, 821, 13237, 2020, 258, 12693, 7726, 476, 274, 630, 277, 269, 277, 260, 994, 258, 1548, 568, 519, 3328, 12654, 936, 519, 2063, 476, 1015, 1296, 585, 1142, 2197, 286, 3097, 258, 263, 1410, 2850, 7508, 2418, 689, 713, 9819, 8094, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 10022, 3957, 2387, 822, 326, 294, 7894, 319, 609, 476, 1428, 2477, 3097, 258, 13263, 741, 3328, 12654, 15044, 538, 27312, 1931, 269, 22177, 258, 769, 314, 9948, 912, 344, 8986, 271, 815, 22373, 1001, 276, 2580, 834, 1001, 275, 2580, 834, 1001, 274, 2580, 834, 1001, 273, 2580, 834, 1001, 272, 2580, 834, 1001, 271, 2580, 834, 1220, 280, 2580, 834, 1220, 279, 2580, 834, 1220, 278, 2580, 834, 1220, 277, 31116, 344, 8986, 815, 17093, 314, 344, 8986, 271, 2639, 822, 326, 294, 7894, 815, 1296, 27904, 263, 9471, 284, 272, 8358, 344, 8986, 29644, 263, 9471, 284, 272, 994, 822, 326, 294, 7894, 31699, 263, 2444, 2056, 25716, 2020, 3698, 2626, 318, 22764, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 1296, 271, 815, 22373, 1001, 276, 2580, 834, 1001, 275, 2580, 834, 1001, 274, 2580, 834, 1001, 273, 2580, 834, 1001, 272, 2580, 834, 1001, 271, 2580, 834, 1220, 280, 2580, 834, 1220, 279, 2580, 834, 1220, 278, 2580, 834, 1220, 277, 31116, 825, 1296, 815, 5440, 1428, 314, 344, 8986, 271, 2639, 825, 1285, 326, 294, 7894, 815, 1296, 27904, 263, 9471, 284, 272, 8358, 344, 8986, 29644, 263, 9471, 284, 272, 994, 825, 1285, 326, 294, 7894, 31699, 263, 2444, 2056, 25716, 994, 825, 2132, 1285, 326, 294, 7894, 454, 24987, 318, 22764, 10797, 258, 12693, 7726, 476, 275, 630, 277, 269, 277, 260, 994, 258, 1635, 875, 1454, 1185, 519, 12654, 4957, 936, 519, 476, 1015, 1032, 12732, 3097, 258, 1721, 519, 2197, 609, 519, 476, 277, 628, 4102, 3328, 12654, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 1297, 269, 22177, 258, 769, 314, 9948, 1384, 692, 3698, 2626, 6958, 712, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 20410, 14682, 31389, 318, 4219, 815, 17093, 7456, 665, 9131, 18197, 8003, 3299, 1412, 1001, 276, 11172, 910, 17093, 7456, 665, 9131, 18197, 8003, 3299, 1412, 1220, 277, 23300, 825, 2132, 20410, 14682, 31389, 318, 4219, 454, 24987, 6958, 712, 10797, 258, 12693, 7726, 476, 276, 630, 277, 269, 277, 260, 994, 258, 1548, 568, 519, 1611, 2387, 21328, 18242, 829, 7167, 7534, 319, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 1297, 269, 22177, 258, 769, 314, 9948, 1384, 4206, 9131, 21328, 18242, 829, 7167, 7534, 262, 4940, 11743, 10797, 3698, 2626, 6958, 633, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 2132, 5440, 1428, 9131, 21328, 18242, 829, 7167, 7534, 262, 4940, 11743, 4590, 24987, 6958, 633, 10797, 258, 12693, 7726, 476, 277, 630, 277, 269, 277, 260, 994, 258, 1548, 2197, 814, 519, 5021, 4939, 24997, 543, 1018, 568, 519, 6871, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 24042, 609, 519, 2012, 540, 519, 2197, 543, 519, 6871, 269, 22177, 258, 769, 314, 9948, 912, 29254, 9131, 260, 24997, 262, 4940, 30915, 10946, 19572, 17093, 7456, 665, 314, 4206, 9131, 260, 24997, 262, 4940, 30915, 10946, 3890, 6012, 262, 260, 24997, 11172, 9239, 3698, 2626, 5334, 1460, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 2132, 630, 12749, 1428, 9131, 260, 24997, 262, 4940, 30915, 10946, 19572, 5440, 1428, 7456, 665, 314, 12749, 1428, 9131, 260, 24997, 262, 4940, 30915, 10946, 3890, 6012, 262, 260, 24997, 262, 7481, 24987, 5334, 1460, 10797, 258, 12693, 7726, 476, 278, 630, 277, 269, 277, 260, 994, 258, 8073, 513, 1007, 6241, 602, 568, 519, 5223, 540, 8682, 4211, 14591, 547, 11192, 13022, 725, 269, 3097, 258, 1548, 568, 519, 5021, 1871, 585, 713, 1007, 6241, 267, 543, 1018, 2197, 814, 519, 5207, 5223, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 24042, 609, 519, 2012, 540, 519, 2197, 543, 519, 5223, 269, 22177, 258, 769, 314, 9948, 912, 4206, 9131, 1345, 6831, 924, 7272, 551, 11172, 815, 17093, 9131, 20236, 2275, 14591, 11172, 1315, 17093, 9131, 290, 14591, 23300, 29254, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 19572, 17093, 7456, 665, 314, 4206, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 3890, 6012, 262, 1345, 6831, 924, 7272, 551, 11172, 2020, 3698, 2626, 26000, 1597, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 5440, 1428, 9131, 1345, 6831, 924, 7272, 551, 11172, 815, 5440, 1428, 9131, 20236, 2275, 14591, 11172, 1315, 5440, 1428, 9131, 290, 14591, 23300, 825, 2132, 630, 12749, 1428, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 19572, 5440, 1428, 7456, 665, 314, 12749, 1428, 9131, 1345, 6831, 924, 7272, 551, 262, 4940, 30915, 10946, 3890, 6012, 262, 1345, 6831, 924, 7272, 551, 262, 7481, 24987, 26000, 1597, 30800, 258, 12693, 7726, 476, 279, 630, 277, 269, 277, 260, 994, 258, 3097, 258, 8073, 513, 6241, 602, 9193, 519, 17069, 333, 1210, 6052, 18242, 543, 6052, 18242, 829, 21027, 269, 3097, 258, 1548, 568, 519, 3791, 1034, 29245, 2197, 2687, 547, 713, 7447, 888, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 5569, 1871, 269, 22177, 258, 769, 314, 9948, 1384, 258, 14585, 337, 536, 342, 2551, 543, 1648, 3761, 267, 1287, 536, 11320, 1648, 3761, 829, 21027, 888, 4206, 9131, 16647, 11172, 815, 476, 1911, 1822, 1822, 1822, 16732, 4206, 9131, 21328, 18242, 829, 7167, 7534, 11172, 1315, 17093, 9131, 21328, 18242, 11172, 2020, 258, 274, 6113, 1034, 20651, 18040, 2969, 454, 4565, 320, 815, 17093, 9131, 16647, 262, 4940, 32476, 4590, 4565, 320, 31699, 4590, 4565, 320, 314, 273, 6540, 258, 2254, 1031, 2943, 454, 4206, 9131, 16647, 262, 4940, 14585, 337, 29254, 9131, 21328, 18242, 262, 7481, 4206, 9131, 16647, 262, 4940, 14585, 337, 29254, 9131, 21328, 18242, 829, 7167, 7534, 11172, 2020, 258, 692, 3698, 2626, 21223, 697, 10031, 825, 5440, 1428, 815, 2626, 318, 821, 4590, 825, 5440, 1428, 9131, 16647, 11172, 815, 476, 1911, 1822, 1822, 1822, 16732, 12749, 1428, 9131, 21328, 18242, 829, 7167, 7534, 11172, 1315, 17093, 9131, 21328, 18242, 262, 7481, 825, 1025, 320, 815, 17093, 9131, 16647, 262, 4940, 32476, 4590, 825, 1025, 320, 31699, 4590, 825, 2132, 1025, 320, 314, 273, 2639, 24987, 21223, 697, 10797, 258, 12693, 7726, 476, 280, 630, 277, 269, 277, 260, 994, 258, 8073, 513, 6241, 602, 9193, 519, 1297, 540, 524, 3386, 6054, 829, 1268, 269, 3097, 258, 1548, 568, 519, 9756, 1063, 519, 1297, 540, 524, 3386, 6054, 829, 21027, 543, 3097, 258, 1492, 1648, 3761, 829, 21027, 286, 3097, 258, 8196, 519, 2387, 269, 14585, 337, 13237, 1505, 267, 630, 303, 792, 5459, 781, 9756, 1916, 258, 3097, 258, 2608, 1607, 1599, 1058, 2132, 513, 2582, 1297, 269, 20330, 258, 3097, 258, 2608, 263, 18893, 1308, 281, 2422, 519, 3710, 2987, 1599, 2387, 7120, 280, 13237, 547, 14650, 519, 2078, 1063, 6052, 18242, 829, 7167, 7534, 5288, 269, 595, 3386, 2703, 338, 829, 7167, 7534, 12684, 692, 258, 769, 314, 9948, 1384, 4206, 9131, 322, 3386, 5091, 665, 338, 30648, 318, 5115, 7534, 11172, 815, 17093, 9131, 290, 14591, 11172, 270, 4206, 9131, 16647, 23300, 4206, 9131, 322, 3386, 5091, 665, 338, 30648, 318, 5115, 7534, 262, 4940, 14585, 337, 29254, 9131, 21328, 18242, 262, 7481, 258, 7120, 280, 29254, 9131, 322, 3386, 5091, 665, 338, 30648, 318, 5115, 7534, 28710, 17093, 9131, 21328, 18242, 11172, 2020, 3698, 2626, 5332, 710 ]

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

[ 596, 1265, 602, 621, 568, 1279, 18835, 267, 621, 949, 581, 513, 1129, 540, 2860, 267, 4966, 2161, 563, 7343, 21043, 2860, 267, 513, 4686, 30279, 3599, 23608, 538, 519, 30569, 267, 513, 1507, 1418, 2282, 519, 4098, 540, 519, 1804, 16892, 267, 13514, 513, 2189, 4161, 547, 2564, 9439, 543, 2550, 7567, 3267, 29819, 547, 1832, 538, 9650, 269, 3267, 2755, 30569, 2860, 568, 5266, 4686, 267, 621, 568, 2629, 547, 581, 3222, 540, 519, 9963, 4191, 563, 310, 23808, 5058, 307, 2177, 630, 4338, 264, 2443, 634, 5253, 543, 10684, 10029, 593, 11016, 9788, 856, 513, 11556, 547, 2253, 15725, 8047, 2564, 4255, 267, 513, 1617, 756, 11669, 1673, 20683, 2872, 602, 519, 8116, 3081, 13514, 513, 3395, 1981, 547, 2550, 1317, 540, 5732, 25619, 2164, 3267, 14294, 5455, 585, 938, 2887, 5026, 20394, 3267, 17897, 531, 3828, 823, 513, 3018, 6178, 5455, 4653, 563, 21691, 823, 543, 1199, 923, 14733, 1200, 2669, 693, 519, 6429, 693, 1472, 476, 1015, 269, 3393, 10975, 267, 855, 2055, 723, 30174, 1614, 2395, 1310, 1352, 729, 4362, 3267, 1530, 4705, 13310, 14569, 941, 1336, 3330, 519, 4055, 267, 2959, 5143, 476, 277, 27398, 267, 4946, 602, 1352, 729, 593, 1412, 13367, 531, 6527, 9538, 3267, 1703, 941, 1100, 4191, 540, 4429, 7804, 269, 3933, 1664, 589, 3267, 3412, 9712, 622, 1920, 3267, 6481, 4255, 267, 646, 1767, 267, 4951, 606, 11506, 3940, 1377, 538, 1010, 1973, 267, 711, 513, 1434, 1129, 3267, 1937, 572, 1129, 3267, 1809, 1310, 711, 6005, 674, 523, 3118, 5244, 781, 13343, 3240, 8750, 1129, 1282, 513, 4414, 1924, 343, 13739, 267, 646, 4956, 1946, 711, 3267, 5839, 291, 10735, 1767, 19134, 2917, 5174, 3497, 5143, 1864, 602, 2564, 2257, 568, 3478, 2673, 547, 513, 10826, 585, 24869, 5448, 267, 5310, 1369, 513, 1906, 1296, 563, 29587, 4323, 4191, 538, 2021, 616, 3006, 1114, 982, 602, 540, 2367, 1813, 547, 799, 789, 949, 711, 581, 8995, 538, 942, 3267, 1717, 267, 2021, 949, 1205, 891, 4191, 4374, 1354, 513, 2295, 4323, 543, 713, 666, 581, 5732, 12468, 3058, 3267, 6468, 4043, 547, 1524, 2452, 891, 4191, 610, 14487, 873, 547, 824, 3123, 267, 3056, 547, 16607, 2564, 3007, 563, 1103, 606, 27314, 2490, 540, 2621, 267, 7189, 693, 5709, 640, 11233, 538, 23570, 781, 631, 7541, 1336, 2933, 5185, 609, 513, 29737, 2564, 9814, 1282, 6391, 593, 513, 476, 2412, 4458, 6040, 3461, 3267, 2060, 1010, 7181, 9636, 6029, 1100, 4191, 540, 705, 908, 267, 2564, 4648, 1904, 539, 547, 2932, 606, 2473, 11920, 6514, 547, 22942, 519, 2707, 540, 1010, 989, 3415, 563, 4596, 17162, 310, 2969, 2207, 2443, 5046, 268, 866, 5563, 616, 1869, 856, 538, 519, 2146, 3267, 297, 24944, 1261, 987, 288, 11765, 32317, 13628, 3267, 18554, 707, 2589, 269, 1403, 596, 723, 606, 6595, 9963, 1129, 899, 8373, 7244, 267, 3343, 6595, 2564, 1416, 5612, 269, 1411, 1590, 581, 8611, 6954, 585, 476, 2190, 3108, 1510, 1210, 8611, 3146, 706, 1424, 6646, 267, 543, 707, 2589, 616, 5355, 547, 1439, 10072, 563, 8248, 629, 1328, 307, 11698, 3267, 309, 12317, 1834, 1185, 513, 9864, 6676, 540, 968, 3201, 10998, 269, 589, 2267, 16014, 4092, 519, 4775, 543, 19443, 1200, 547, 519, 6728, 547, 7227, 585, 513, 11878, 3267, 693, 476, 1015, 269, 3393, 513, 6230, 3267, 634, 1289, 518, 729, 6035, 855, 15189, 2417, 2564, 6351, 3267, 476, 273, 538, 22118, 333, 3267, 634, 4651, 729, 679, 8905, 689, 8355, 951, 543, 9896, 513, 2564, 30671, 950, 646, 8452, 269, 13723, 3267, 634, 1268, 15189, 2564, 3007, 3267, 4586, 29819, 543, 2589, 540, 3987, 267, 6045, 3267, 3371, 616, 519, 4191, 543, 2589, 3267, 4014, 713, 949, 581, 513, 9963, 1129, 540, 3987, 267, 621, 568, 849, 513, 13598, 2427, 1198, 585, 824, 3676, 267, 6527, 610, 19824, 3267, 1403, 596, 616, 7680, 1022, 540, 891, 9963, 4191, 267, 621, 568, 1271, 547, 581, 8995, 676, 513, 2564, 3318, 563, 3719, 649, 941, 28280, 2443, 1166, 629, 6199, 16556, 267, 1256, 2443, 547, 1451, 602, 621, 3790, 606, 3003, 1269, 272, 5479, 547, 5150, 20803, 2924, 547, 12370, 6481, 3427, 1862, 4208, 1131, 649, 1256, 1616, 547, 4444, 519, 6481, 3427, 538, 519, 1101, 1747, 286, 3267, 630, 1103, 782, 4013, 2564, 13746, 267, 607, 1134, 607, 593, 782, 5656, 267, 4191, 267, 543, 782, 1875, 6823, 1467, 8658, 1932, 4700, 3849, 3200, 1047, 618, 269, 0, 8702, 267, 3025, 267, 547, 938, 6426, 7688, 827, 28932, 517, 269, 28932, 517, 568, 513, 4241, 1915, 689, 519, 3883, 540, 7225, 2471, 269, 1261, 729, 6074, 676, 2696, 689, 4332, 547, 581, 513, 9294, 597, 924, 543, 5129, 513, 2629, 1909, 538, 12419, 5840, 689, 519, 5845, 626, 1149, 563, 1103, 713, 7688, 267, 649, 786, 2263, 519, 1650, 540, 28932, 517, 543, 1449, 707, 1702, 269, 1284, 786, 3382, 1010, 6909, 4222, 267, 1010, 13341, 609, 26760, 543, 20729, 531, 267, 543, 519, 4245, 649, 666, 1451, 689, 1010, 1272, 563, 7476, 4712, 585, 513, 3126, 540, 2055, 602, 786, 4161, 707, 1620, 540, 28932, 517, 269, 2913, 779, 4685, 883, 519, 6426, 543, 10625, 519, 7415, 905, 1846, 543, 4245, 689, 28932, 517, 779, 3460, 563, 5319, 2809, 713, 7688, 543, 1577, 779, 2253, 2336, 2004, 28932, 517, 6426, 13658, 7726, 912, 272, 269, 769, 799, 1433, 540, 519, 6426, 568, 519, 1650, 540, 28932, 517, 1336, 888, 273, 269, 1548, 729, 28932, 517, 779, 554, 32528, 888, 274, 269, 5808, 941, 28932, 517, 779, 3237, 888, 275, 269, 1548, 729, 28932, 517, 779, 16750, 2707, 540, 4222, 888, 276, 269, 1215, 1705, 28932, 517, 6336, 1010, 4222, 888, 277, 269, 1548, 729, 519, 2012, 540, 519, 5845, 25434, 4807, 602, 28932, 517, 8593, 538, 2648, 609, 888, 278, 269, 1548, 729, 519, 678, 1497, 602, 28932, 517, 15054, 547, 519, 5845, 626, 1149, 888, 279, 269, 5808, 20729, 539, 28932, 517, 676, 13031, 519, 2626, 547, 519, 678, 1497, 888, 280, 269, 1215, 1705, 28932, 517, 7017, 1010, 7963, 1310, 9561, 519, 678, 1497, 914, 888, 1015, 269, 1215, 1082, 29372, 1705, 28932, 517, 17063, 1927, 609, 8731, 2583, 547, 6633, 519, 5845, 626, 1149, 685, 7031, 888, 1556, 269, 1548, 14049, 1705, 28932, 517, 946, 547, 6146, 476, 272, 267, 1822, 5845, 626, 1149, 888, 1321, 269, 1548, 941, 519, 4408, 540, 519, 1079, 22225, 602, 28932, 517, 14593, 6306, 888, 1724, 269, 1215, 1082, 5845, 626, 1149, 1705, 28932, 517, 6146, 609, 519, 2458, 2355, 532, 11454, 888, 1691, 269, 1215, 1705, 28932, 517, 5884, 888, 1428, 269, 5808, 24565, 5840, 1310, 28932, 517, 779, 2669, 888, 1626, 269, 1548, 729, 519, 2012, 540, 28932, 517, 779, 1101, 7385, 888, 1704, 269, 1548, 729, 519, 2012, 540, 28932, 517, 779, 2034, 7385, 888, 1240, 269, 1548, 1705, 28932, 517, 798, 609, 519, 10265, 14752, 540, 513, 1810, 4486, 888, 866, 269, 1215, 1279, 1705, 28932, 517, 9794, 5840, 888, 736, 269, 1215, 1082, 5845, 25434, 2367, 1705, 28932, 517, 6146, 950, 646, 729, 13615, 909, 609, 1007, 887, 6647, 888, 2641, 269, 1548, 1705, 28932, 517, 798, 547, 519, 5845, 25434, 7031, 1310, 1010, 7385, 729, 2016, 547, 1776, 812, 888, 2420, 269, 1548, 1705, 28932, 517, 946, 547, 9101, 689, 519, 5845, 626, 1149, 950, 789, 6836, 547, 7001, 1864, 888, 2537, 269, 1215, 1705, 5548, 559, 1695, 6368, 3605, 519, 5728, 540, 28932, 517, 779, 4222, 888, 2190, 269, 1215, 1082, 2053, 1705, 28932, 517, 13587, 633, 5548, 559, 1695, 827, 519, 2707, 540, 1010, 4222, 888, 1839, 269, 1215, 1705, 28932, 517, 779, 4222, 2132, 1354, 646, 14593, 519, 22225, 540, 519, 11454, 888, 2918, 269, 5808, 9307, 28932, 517, 779, 4332, 547, 1010, 3237, 888, 2767, 269, 1548, 1705, 519, 21425, 540, 519, 7083, 4051, 28932, 517, 779, 3237, 3823, 1010, 909, 32523, 888, 2764, 269, 1215, 1705, 28932, 517, 6146, 519, 17794, 538, 519, 11903, 29288, 540, 7033, 333, 1695, 888, 3066, 269, 1548, 1705, 28932, 517, 1265, 3330, 519, 1286, 322, 817, 540, 519, 17794, 646, 7166, 888, 1789, 269, 1548, 729, 519, 2012, 540, 519, 21649, 602, 28932, 517, 11231, 609, 519, 5845, 626, 1149, 538, 7033, 333, 1695, 888, 4029, 269, 1215, 1705, 28932, 517, 8945, 519, 5845, 626, 1149, 609, 519, 678, 1497, 1282, 519, 21649, 888, 3953, 269, 1548, 729, 519, 10751, 585, 519, 5845, 626, 1149, 950, 789, 8959, 547, 4194, 519, 678, 1497, 888, 3451, 269, 1215, 1705, 28932, 517, 3489, 519, 13977, 32028, 23157, 547, 7017, 1010, 7963, 888, 4097, 269, 1733, 558, 1705, 28932, 517, 19533, 1310, 1010, 1101, 7385, 729, 2016, 547, 1776, 812, 888, 3374, 269, 1548, 2783, 1705, 519, 5845, 626, 1149, 1305, 585, 28932, 517, 547, 1294, 1010, 2034, 7385, 888, 3607, 269, 1215, 1705, 28932, 517, 1427, 531, 5573, 950, 1010, 7385, 729, 2016, 547, 1776, 812, 888, 4391, 269, 1548, 1843, 1705, 28932, 517, 946, 547, 1305, 519, 5845, 25434, 4610, 593, 3595, 888, 4343, 269, 5808, 1705, 519, 5845, 626, 1149, 6494, 547, 7001, 28932, 517, 1310, 646, 14616, 741, 7031, 888, 4375, 269, 1215, 1082, 2053, 1705, 28932, 517, 779, 1101, 7385, 20729, 1864, 3823, 519, 678, 1497, 888, 2412, 269, 1548, 1705, 28932, 517, 798, 547, 519, 5845, 626, 1149, 950, 646, 4362, 1010, 7385, 729, 2016, 547, 1776, 812, 888, 6078, 269, 5808, 28367, 609, 5548, 559, 1695, 547, 7001, 543, 1016, 16746, 28932, 517, 888, 5655, 269, 1215, 1454, 8988, 1705, 5548, 559, 1695, 4309, 689, 519, 5845, 25434, 561, 3581, 585, 20729, 532, 28932, 517, 888, 6246, 269, 1548, 729, 519, 5728, 540, 28932, 517, 779, 4222, 602, 5548, 559, 1695, 4362, 888, 4510, 269, 1215, 1082, 2053, 1705, 5548, 559, 1695, 3801, 547, 7001, 28932, 517, 1354, 646, 7000, 1010, 5728, 888, 3393, 269, 1215, 1705, 28932, 517, 9101, 519, 1101, 1614, 8942, 676, 5548, 559, 1695, 547, 7001, 1864, 888, 5379, 269, 1548, 1705, 5548, 559, 1695, 798, 547, 28932, 517, 1247, 646, 729, 12008, 547, 14020, 1864, 888, 5325, 269, 1215, 1705, 519, 5845, 626, 1149, 7001, 28932, 517, 1310, 5548, 559, 1695, 2759, 1010, 4552, 888, 4366, 269, 1215, 1705, 519, 5845, 626, 1149, 7620, 1544, 547, 1208, 559, 5573, 28932, 517, 1310, 1010, 7001, 888, 5392, 269, 1548, 1705, 28932, 517, 2307, 2696, 585, 1247, 646, 729, 29802, 538, 717, 18054, 888, 2004, 269, 1215, 1082, 1004, 5747, 950, 28932, 517, 14593, 519, 22225, 540, 519, 11454, 1524, 888, 272, 269, 634, 1650, 540, 28932, 517, 568, 1336, 538, 519, 3883, 540, 7225, 2471, 563, 273, 269, 28932, 517, 779, 554, 32528, 729, 2098, 528, 1695, 269, 630, 297, 644, 2471, 476, 1724, 281, 273, 994, 274, 269, 28932, 517, 779, 3237, 941, 2494, 334, 1695, 543, 1010, 7385, 267, 945, 568, 711, 3957, 538, 519, 6426, 269, 630, 297, 644, 2471, 476, 1724, 281, 273, 994, 275, 269, 28932, 517, 779, 16750, 2707, 540, 4222, 729, 1010, 1279, 4552, 269, 630, 297, 644, 2471, 476, 1626, 281, 1704, 994, 276, 269, 28932, 517, 4503, 1010, 4222, 950, 1010, 4552, 729, 2759, 1055, 676, 5548, 559, 1695, 269, 630, 297, 644, 2471, 476, 1626, 281, 866, 994, 277, 269, 634, 5845, 25434, 4807, 602, 28932, 517, 8593, 538, 2648, 609, 729, 5548, 559, 1695, 269, 630, 297, 644, 2471, 476, 1626, 281, 275, 994, 278, 269, 634, 678, 1497, 602, 28932, 517, 15054, 547, 519, 5845, 626, 1149, 729, 267, 968, 11073, 540, 519, 552, 831, 267, 1945, 547, 3548, 282, 856, 540, 519, 2178, 267, 1945, 6653, 1848, 630, 297, 644, 2471, 476, 1691, 281, 1691, 994, 279, 269, 28932, 517, 779, 7385, 267, 945, 729, 2016, 547, 1864, 538, 7365, 676, 519, 5845, 626, 1149, 267, 20729, 539, 1864, 676, 13031, 519, 2626, 547, 519, 678, 1497, 269, 630, 297, 644, 2471, 476, 1691, 281, 1704, 994, 280, 269, 28932, 517, 12306, 1010, 7963, 676, 11318, 13977, 5845, 626, 1149, 543, 2921, 741, 23157, 547, 2628, 1010, 914, 269, 630, 297, 644, 2471, 476, 1691, 281, 866, 994, 1015, 269, 28932, 517, 13615, 1927, 1614, 4627, 29372, 543, 1305, 741, 21217, 593, 3595, 547, 6633, 519, 5845, 626, 1149, 685, 7031, 269, 630, 297, 644, 2471, 476, 1428, 281, 275, 268, 276, 994, 1556, 269, 28932, 517, 1031, 519, 10265, 14752, 540, 513, 1810, 4486, 607, 513, 14049, 547, 6146, 476, 272, 267, 1822, 5845, 626, 1149, 269, 630, 297, 644, 2471, 476 ]

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

[ 543, 1271, 3252, 27361, 676, 713, 3028, 267, 543, 519, 4241, 1686, 540, 922, 10781, 563, 763, 13149, 11233, 6796, 568, 835, 540, 519, 9510, 543, 1034, 15116, 569, 1977, 540, 782, 938, 5238, 269, 4706, 4098, 729, 538, 606, 957, 540, 18322, 540, 5147, 476, 1626, 267, 476, 9692, 279, 267, 799, 2322, 513, 3454, 540, 8938, 21347, 513, 3923, 593, 1169, 9378, 534, 540, 519, 2136, 2276, 267, 547, 581, 3144, 689, 1010, 13848, 269, 634, 8317, 585, 713, 5650, 1185, 1044, 1134, 6045, 676, 12968, 269, 5261, 5261, 5459, 538, 519, 5600, 540, 24929, 2476, 1394, 538, 476, 9692, 273, 563, 763, 1101, 6413, 11262, 676, 519, 2229, 729, 693, 6115, 781, 8672, 267, 7439, 27714, 6019, 267, 9098, 269, 901, 729, 12349, 538, 476, 5197, 271, 269, 8422, 1296, 2663, 513, 13149, 11233, 729, 6192, 693, 11785, 269, 2311, 827, 519, 1482, 942, 267, 519, 2724, 6394, 676, 21259, 540, 9378, 523, 729, 9927, 883, 513, 2489, 2508, 585, 2564, 8323, 960, 1851, 25501, 269, 634, 1482, 9086, 1500, 11865, 585, 519, 10661, 540, 519, 3028, 538, 1715, 20252, 267, 799, 729, 711, 1287, 513, 851, 540, 519, 2136, 2276, 563, 5475, 513, 942, 519, 9378, 523, 781, 3454, 729, 711, 6190, 547, 2226, 519, 7683, 3376, 2287, 960, 267, 799, 1185, 547, 581, 5330, 5944, 11658, 538, 922, 28252, 269, 3143, 5312, 610, 1651, 9092, 3676, 941, 5701, 267, 6862, 729, 1022, 3461, 6854, 3476, 982, 2185, 3275, 269, 590, 841, 832, 538, 1346, 2395, 535, 1563, 14605, 267, 543, 741, 1272, 729, 513, 2182, 835, 8197, 269, 23883, 729, 713, 3020, 593, 519, 14967, 5211, 1062, 267, 799, 729, 513, 1390, 1216, 30041, 3118, 454, 268, 634, 2278, 568, 967, 20623, 1540, 547, 31048, 517, 6723, 654, 269, 853, 517, 518, 267, 12751, 6481, 20229, 693, 32762, 6816, 267, 585, 1082, 5013, 7282, 519, 4505, 1686, 540, 519, 5398, 2657, 543, 13149, 11233, 6796, 269, 0, 5194, 8313, 568, 8521, 5765, 689, 938, 12124, 1924, 2812, 1895, 2212, 32483, 1229, 693, 27201, 5441, 269, 17593, 2630, 563, 763, 2956, 540, 2067, 5117, 3157, 568, 1419, 15763, 538, 4683, 2127, 269, 5682, 24486, 630, 22835, 264, 2934, 723, 1044, 9112, 538, 4683, 2127, 607, 2609, 547, 7001, 543, 1521, 4430, 4683, 20359, 1247, 3246, 513, 2039, 540, 606, 322, 16736, 2640, 267, 552, 3052, 1421, 5117, 3157, 25358, 676, 14471, 602, 2087, 2011, 543, 1216, 2298, 267, 538, 1840, 547, 519, 12205, 609, 2030, 543, 3529, 29127, 2214, 12742, 269, 634, 6662, 540, 713, 1353, 729, 547, 21656, 519, 9190, 2146, 543, 4763, 538, 22041, 11934, 630, 20007, 657, 11169, 264, 540, 2947, 2010, 540, 22542, 538, 1715, 3840, 4975, 282, 3543, 730, 2220, 2297, 267, 1318, 540, 1259, 19777, 342, 2297, 630, 4629, 310, 289, 282, 1519, 8265, 20933, 22467, 1674, 1949, 543, 8476, 3529, 29365, 1070, 543, 606, 4683, 4104, 269, 634, 1374, 540, 681, 8582, 289, 22542, 2934, 2047, 13462, 609, 519, 4155, 547, 4383, 8265, 20359, 267, 799, 666, 2333, 519, 3353, 657, 565, 25294, 543, 4598, 547, 4683, 17694, 18233, 689, 519, 8265, 543, 5645, 883, 519, 22542, 4183, 269, 901, 22542, 1374, 4481, 8383, 919, 10565, 20512, 540, 1216, 602, 7506, 519, 9190, 2146, 5888, 543, 4763, 998, 519, 16496, 2604, 540, 17694, 610, 676, 19717, 269, 634, 681, 8582, 289, 1185, 519, 5207, 9265, 267, 855, 1100, 1713, 9756, 609, 2157, 540, 3037, 5214, 2339, 543, 8762, 6053, 24975, 6915, 613, 12950, 3252, 269, 6271, 1271, 6915, 613, 12950, 9936, 585, 3037, 9190, 2950, 568, 9063, 267, 799, 6766, 519, 9190, 2146, 5888, 267, 5812, 609, 2090, 538, 1875, 268, 18076, 11934, 269, 645, 17424, 2146, 5888, 538, 22542, 2934, 4951, 4191, 540, 27643, 19717, 267, 1519, 4598, 547, 3662, 28797, 543, 3114, 17694, 267, 971, 607, 19386, 2472, 269, 11778, 2303, 519, 2949, 1374, 543, 2359, 540, 22542, 2934, 609, 513, 8756, 539, 4276, 609, 8265, 20359, 267, 971, 607, 681, 8582, 289, 267, 814, 513, 3102, 1198, 593, 3037, 6724, 630, 31860, 5214, 2339, 264, 543, 519, 9190, 2146, 269, 2290, 1883, 7156, 585, 2104, 10526, 540, 22542, 15451, 2146, 1131, 581, 547, 3313, 519, 2707, 540, 5214, 2339, 543, 30881, 519, 2078, 1063, 10664, 267, 3353, 657, 565, 267, 543, 4551, 538, 519, 2966, 22542, 2934, 563, 13425, 856, 713, 1007, 2376, 1071, 22052, 23482, 676, 4515, 23108, 742, 2006, 538, 13571, 4536, 538, 31814, 1923, 6833, 14111, 31814, 476, 2336, 305, 334, 1824, 2405, 5573, 519, 12186, 540, 16176, 17569, 13207, 710, 593, 14606, 29318, 267, 674, 2426, 328, 267, 543, 21193, 4088, 20676, 532, 538, 513, 8832, 10434, 6229, 11206, 2676, 20082, 281, 29547, 5162, 2011, 2837, 786, 2569, 6777, 3178, 543, 8653, 936, 519, 1985, 2540, 538, 7187, 2182, 6229, 7733, 269, 11087, 2388, 538, 6777, 3178, 949, 1860, 3037, 4551, 543, 13271, 2047, 267, 855, 849, 1860, 3037, 17973, 18549, 998, 2360, 540, 6777, 17569, 2530, 593, 2030, 5072, 269, 1284, 17861, 730, 3597, 17181, 543, 3597, 3824, 9512, 23780, 2066, 513, 5162, 2916, 3887, 4582, 566, 13506, 538, 513, 7187, 2182, 6229, 4104, 585, 476, 3066, 3275, 547, 2697, 1463, 630, 328, 4318, 269, 5162, 6777, 24975, 264, 543, 9940, 630, 328, 4318, 269, 3597, 24975, 264, 2360, 540, 5162, 6777, 17569, 7771, 593, 3037, 9190, 543, 16507, 2950, 267, 607, 1134, 607, 593, 1761, 6491, 30826, 543, 2121, 715, 7777, 1436, 3928, 269, 5637, 5162, 6777, 17569, 7771, 543, 3597, 17181, 2799, 9190, 17381, 543, 29981, 4763, 269, 7352, 566, 538, 9190, 2146, 5888, 729, 1655, 6045, 676, 3604, 538, 5162, 6777, 3178, 610, 3037, 15470, 2066, 15038, 269, 17848, 3824, 9512, 1185, 513, 2318, 1198, 593, 519, 3448, 11606, 540, 1896, 9190, 3454, 21978, 9753, 630, 324, 3052, 269, 18729, 14385, 2297, 543, 2920, 514, 3912, 322, 564, 2297, 1040, 32633, 3373, 18682, 8527, 13116, 630, 324, 3052, 269, 15762, 10420, 3912, 322, 564, 2297, 543, 631, 1075, 528, 2297, 264, 610, 1250, 14585, 9071, 714, 531, 630, 324, 3052, 269, 4477, 582, 658, 525, 267, 4072, 531, 2297, 267, 634, 548, 874, 528, 2297, 264, 16507, 3454, 21978, 9753, 941, 849, 4299, 676, 1312, 3597, 3824, 9512, 543, 6777, 3178, 8390, 269, 1717, 267, 950, 19882, 1927, 267, 519, 3448, 11606, 540, 18682, 8527, 13116, 13271, 267, 818, 24650, 4788, 1250, 14585, 9071, 714, 531, 13271, 267, 543, 28341, 3912, 14585, 9071, 714, 531, 13271, 941, 711, 4299, 676, 3597, 3824, 9512, 610, 6777, 3178, 267, 11021, 602, 7592, 538, 1840, 547, 3327, 11601, 4640, 786, 1199, 5573, 16507, 2146, 6114, 547, 6777, 17569, 7771, 538, 7187, 2182, 6229, 7733, 269, 15783, 3037, 6491, 30826, 3928, 941, 9797, 1644, 547, 20342, 268, 31038, 1944, 4551, 543, 9125, 320, 11606, 630, 324, 3052, 269, 21193, 4592, 2869, 2297, 267, 21193, 4592, 558, 1180, 2297, 267, 21193, 4592, 6495, 1968, 525, 1040, 26162, 540, 715, 7777, 1436, 941, 9797, 543, 11874, 17047, 609, 28341, 3912, 14585, 9071, 714, 531, 543, 18682, 8527, 13116, 13271, 267, 6606, 267, 543, 891, 3347, 941, 25358, 676, 3597, 17181, 269, 634, 2164, 689, 713, 1353, 2303, 602, 513, 19394, 5162, 6777, 17569, 543, 922, 1198, 593, 2030, 5072, 1142, 723, 1463, 2360, 593, 519, 4763, 543, 11606, 540, 3037, 4551, 543, 16507, 2950, 602, 2170, 547, 3313, 3928, 540, 3037, 715, 15203, 538, 7187, 2182, 6229, 7733, 563, 6124, 1101, 30363, 1957, 676, 4515, 30129, 23160, 2006, 538, 519, 4760, 540, 9533, 30578, 15562, 6020, 6573, 772, 1700, 303, 321, 1990, 597, 935, 2963, 585, 2085, 267, 8810, 766, 267, 543, 29684, 1686, 540, 2038, 19232, 32223, 717, 6387, 1014, 7725, 267, 7532, 7266, 1537, 19051, 267, 7330, 454, 17239, 6020, 6573, 772, 1700, 303, 321, 1990, 597, 935, 6502, 689, 717, 663, 4997, 538, 9456, 19051, 12172, 519, 6502, 543, 8810, 766, 540, 25810, 4559, 538, 519, 21007, 1090, 24734, 543, 853, 269, 15867, 1460, 1768, 3757, 525, 543, 540, 3382, 7725, 538, 519, 12049, 518, 1112, 517, 512, 893, 543, 6239, 19051, 12458, 549, 739, 809, 5336, 520, 777, 4215, 16935, 630, 13967, 4456, 1040, 1452, 1007, 1239, 1526, 1778, 12557, 540, 522, 4088, 545, 2621, 543, 948, 1174, 519, 5169, 540, 519, 3382, 4224, 1244, 12510, 619, 563, 19547, 761, 531, 1990, 597, 935, 1239, 3622, 6166, 6700, 6502, 540, 519, 21272, 25541, 269, 2098, 597, 935, 9274, 609, 6502, 540, 1309, 269, 476, 25396, 8575, 538, 1312, 1244, 12510, 619, 267, 1152, 5594, 4587, 982, 741, 3984, 7725, 267, 941, 4440, 6508, 689, 519, 9998, 15027, 26706, 538, 519, 5101, 1636, 5336, 2444, 732, 928, 12966, 269, 4256, 4527, 6920, 602, 796, 24887, 18328, 4456, 32498, 4559, 949, 581, 607, 1762, 607, 2398, 573, 10008, 543, 741, 9000, 689, 519, 11197, 2023, 23374, 543, 6226, 323, 8948, 1662, 21272, 5267, 602, 891, 21272, 616, 4587, 982, 3355, 5101, 1636, 5336, 2444, 732, 928, 8979, 1143, 269, 5489, 761, 531, 543, 15027, 1990, 597, 935, 6502, 6166, 513, 17623, 18095, 6929, 547, 5664, 18103, 990, 6509, 2085, 585, 519, 21007, 1090, 24734, 19588, 543, 4266, 21007, 1090, 24734, 8979, 1143, 693, 476, 5379, 280, 269, 274, 13008, 476, 275, 269, 277, 8575, 269, 769, 519, 853, 269, 15867, 1460, 1768, 8735, 267, 1990, 597, 935, 10286, 609, 606, 2085, 540, 476, 5325, 278, 269, 275, 13008, 476, 274, 269, 278, 8575, 689, 606, 11849, 6420, 693, 519, 3490, 540, 519, 918, 754, 718, 13738, 19725, 543, 2085, 26034, 543, 15455, 689, 936, 2391, 21247, 5749, 924, 2303, 602, 519, 5250, 949, 12732, 4469, 334, 1014, 547, 9995, 15487, 942, 269, 634, 1292, 2707, 540, 18328, 4456, 543, 12049, 518, 1112, 517, 11159, 729, 13381, 717, 6387, 1014, 25810, 689, 1768, 3757, 525, 28928, 1310, 17623, 18103, 990, 6509, 522, 4088, 8412, 267, 29979, 676, 8125, 584, 1014, 751, 874, 571, 269, 2098, 597, 935, 536, 2117, 3941, 543, 12776, 1993, 9313, 543, 29684, 3631, 2303, 2370, 267, 952, 1022, 267, 3403, 689, 19846, 660, 807, 610, 589, 1998, 8205, 563, 313, 597, 935, 268, 543, 8093, 2861, 6502, 5815, 8107, 1998, 16592, 18103, 990, 6509, 22636, 538, 519, 853, 269, 15867, 1460, 630, 8619, 269, 476, 28526, 547, 476, 4510, 273, 8575, 264, 543, 21007, 1090, 24734, 630, 8619, 269, 476, 28526, 547, 476, 4510, 277, 8575, 264, 1768, 3757, 525, 269, 6428, 28649, 24208, 538, 519, 25878, 12049, 518, 1112, 517, 512, 893, 568, 15741, 9643, 1063, 519, 476, 275, 2641, 269, 280, 13008, 476, 273, 269, 275, 8575, 2085, 540, 519, 623, 24899, 9398, 21331, 575, 13741, 549, 1673, 1640, 924, 543, 476, 25396, 8575, 1033, 761, 531, 1990, 597, 4621, 538, 519, 4469, 2541, 23374, 19725, 269, 2098, 597, 935, 6502, 267, 12776, 1993, 9313, 2079, 267, 543, 12779, 2632, 1670, 2963, 1489, 519, 5169, 540, 519, 12049, 518, 1112, 517, 512, 893, 607, 513, 6428, 28649, 2062, 1372, 788, 269, 634, 18328, 4456, 16935, 3112, 723, 1044, 606, 6298, 1014, 2062, 1633, 16935, 267, 607, 11159, 566, 3459, 6634, 540, 1296, 1354, 6298, 1014, 1016, 9134, 563, 23178, 12448, 3057, 32634, 1071, 2246, 23482, 606, 2376, 538, 519, 4760, 1107, 4139, 4750, 540, 7025, 3194, 543, 5398, 2657, 13886, 9466, 26753, 547, 5682, 26753, 281, 7025, 10456, 12411, 639, 7025, 22918, 30826, 563, 20082, 281, 22918, 30826, 568, 513, 3395, 6161, 538, 1082, 4683, 2127, 267, 1813, 547, 519, 1761, 585, 12761, 540, 2539, 13867, 543, 824, 7925, 5095, 269, 901, 1184, 666, 581, 18965, 950, 8378, 968, 13582, 532, 892, 3785, 616, 17298, 3842, 22257, 610, 4357, 20090, 3646, 267, 4611, 538, 513, 7613, 17941, 2825, 610, 968, 13582, 892, 8425, 30826, 269, 28820, 656, 2244, 538, 2539, 13867, 2127, 568, 1419, 4824, 676, 519, 4540, 2146, 998, 519, 5137, 540, 2146, 10651, 267, 855, 713, 8309, 547, 891, 3039, 532, 3646, 543, 19433, 1227, 949, 27513, 8425, 30826, 543, 7766, 12761, 540, 519, 10651, 685, 12403, 1841, 543, 12543, 269, 968, 3674, 16133, 547, 2146, 10651, 538, 1447, 3413, 23308, 16973, 2404, 609, 606, 2799, 10171, 540, 8425, 30826, 9495, 15566, 2542, 968, 23178, 12448, 3057, 32634, 593, 7025, 10456, 12411, 639, 7025, 22918, 30826, 7536, 23178, 590, 996, 320, 8899, 814, 12995, 513, 1007, 1433, 13886, 634, 30296, 18361, 540, 28668, 543, 519, 4975, 563, 763, 30296, 18361, 540, 28668, 543, 519, 4975, 2488, 513, 3102, 1353, 540, 1699, 543, 2104, 4683, 2152, 593, 513, 2518, 543, 2199, 4336, 269, 20031 ]

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

[ 2407, 540, 2724, 1557, 269, 5262, 4288, 543, 23015, 2670, 7493, 538, 713, 18236, 543, 23015, 2670, 2978, 513, 2698, 540, 649, 786, 2328, 513, 2688, 1557, 3732, 3284, 6915, 2978, 835, 281, 23015, 2670, 543, 18236, 269, 19837, 10488, 610, 1382, 1788, 596, 795, 599, 6577, 281, 12354, 3426, 476, 2420, 267, 476, 1001, 278, 1603, 606, 1557, 3932, 5037, 8940, 1557, 8354, 635, 10927, 23504, 7840, 676, 269, 4828, 593, 524, 576, 2069, 1062, 538, 31448, 7192, 1474, 8932, 6067, 526, 601, 3594, 1434, 5288, 9409, 3268, 547, 1603, 513, 10388, 1557, 533, 696, 9656, 6280, 540, 812, 17998, 544, 2675, 563, 12709, 2564, 1299, 9716, 32258, 2564, 32258, 15312, 1299, 5068, 6391, 31497, 25185, 1274, 267, 9224, 1299, 11563, 4064, 630, 2684, 11209, 17443, 264, 9449, 269, 7348, 1557, 910, 18236, 543, 23015, 2670, 1557, 689, 7350, 3284, 7350, 693, 1007, 15734, 1863, 30028, 3284, 7350, 2978, 1948, 272, 281, 18236, 543, 23015, 2670, 1974, 476, 278, 270, 279, 18236, 568, 519, 269, 7442, 7350, 1557, 2055, 23015, 2670, 3742, 3560, 19658, 18236, 1439, 26014, 2670, 270, 1410, 26014, 2670, 269, 0, 763, 9640, 267, 22788, 29751, 1127, 2219, 1922, 2135, 814, 607, 922, 5339, 31317, 267, 2542, 22788, 29751, 1127, 568, 513, 3552, 1289, 547, 2661, 1141, 519, 3781, 6777, 338, 6801, 543, 519, 3618, 1212, 6545, 269, 634, 519, 9954, 540, 22788, 29751, 1127, 2146, 4063, 2882, 3184, 8386, 7302, 1986, 5758, 543, 2079, 267, 1915, 1592, 267, 6249, 1592, 267, 3140, 2796, 267, 2278, 12092, 543, 17118, 2854, 676, 2146, 2818, 899, 596, 269, 589, 5339, 13959, 1753, 22788, 29751, 1127, 1767, 7474, 1279, 1310, 1775, 993, 8854, 267, 607, 1279, 607, 513, 5299, 540, 519, 6648, 6818, 267, 1169, 942, 4896, 14509, 621, 519, 16541, 786, 1205, 909, 269, 589, 2110, 2079, 540, 22788, 29751, 1127, 262, 1412, 1492, 2219, 1922, 2135, 262, 5339, 9880, 267, 6965, 267, 5758, 267, 22788, 519, 2219, 1922, 2135, 262, 568, 835, 540, 519, 1034, 4583, 9954, 676, 22788, 563, 307, 539, 29751, 1127, 1775, 4952, 713, 28813, 4090, 781, 4104, 281, 1945, 3116, 568, 9800, 22290, 519, 9219, 781, 20420, 543, 713, 10145, 2985, 1141, 1250, 11263, 1847, 269, 901, 568, 835, 540, 519, 5634, 5339, 3457, 1459, 267, 855, 621, 814, 513, 1804, 1764, 593, 519, 6648, 267, 607, 621, 568, 862, 523, 520, 787, 270, 2079, 593, 519, 6648, 12882, 11366, 385, 497, 1492, 533, 833, 5889, 11366, 676, 22788, 269, 8316, 330, 887, 24031, 12946, 538, 2247, 519, 30031, 3457, 1031, 1557, 3732, 17761, 330, 887, 24031, 568, 835, 540, 519, 1082, 9954, 3370, 676, 22788, 29751, 1127, 1282, 1010, 5339, 4876, 7231, 609, 3662, 543, 2470, 563, 26046, 540, 22788, 29751, 1127, 262, 9954, 646, 3096, 713, 3926, 547, 1711, 23440, 538, 519, 5467, 29751, 1127, 19306, 519, 1379, 540, 519, 2842, 538, 2453, 2407, 540, 513, 3552, 543, 269, 23413, 29751, 1127, 5758, 281, 519, 6648, 568, 1759, 593, 1010, 6689, 607, 513, 1126, 646, 1419, 10272, 519, 10720, 630, 26078, 636, 2406, 865, 602, 1010, 4651, 666, 979, 10068, 1070, 540, 799, 972, 5030, 513, 5458, 533, 833, 538, 519, 2620, 851, 540, 519, 11432, 269, 8262, 1402, 6853, 676, 22788, 29751, 1127, 1753, 1315, 6965, 1315, 2462, 1402, 6853, 1315, 5339, 3457, 1315, 10912, 3556, 513, 2603, 540, 519, 3196, 538, 2462, 1402, 6853, 2965, 26520, 593, 519, 533, 4979, 909, 540, 563, 21579, 713, 6648, 568, 606, 14336, 800, 910, 10902, 281, 513, 1650, 267, 6648, 267, 610, 4605, 602, 666, 581, 14648, 547, 7866, 513, 6456, 2495, 267, 3335, 513, 5837, 610, 2797, 835, 713, 6648, 568, 29751, 1127, 262, 5133, 593, 861, 331, 16129, 726, 987, 267, 538, 12042, 338, 697, 689, 2348, 1634, 1200, 269, 634, 960, 18252, 519, 5339, 3457, 540, 1268, 2305, 267, 11052, 267, 543, 13513, 267, 547, 11168, 519, 9954, 6249, 540, 1480, 8709, 640, 543, 519, 7766, 4250, 540, 10172, 726, 987, 1268, 5809, 519, 11604, 945, 607, 513, 1101, 1268, 15669, 3217, 593, 1079, 3029, 269, 14502, 2079, 540, 2462, 1402, 6853, 5339, 3457, 543, 519, 4480, 540, 22788, 29751, 1127, 269, 17826, 2079, 281, 1540, 29751, 1127, 781, 6777, 17840, 27095, 5324, 476, 2537, 267, 476, 1001, 276, 1315, 678, 4157, 327, 11535, 1315, 476, 272, 6085, 519, 6777, 17840, 262, 568, 513, 6648, 602, 568, 13801, 543, 5730, 538, 922, 11052, 563, 307, 539, 29751, 1127, 13187, 602, 519, 1158, 786, 2760, 2661, 538, 4708, 602, 10617, 786, 2141, 10836, 998, 8823, 538, 519, 1259, 602, 555, 30178, 5614, 1394, 998, 5452, 29751, 1127, 3096, 1134, 1922, 26860, 267, 2942, 546, 2109, 22192, 1138, 3796, 267, 23199, 267, 543, 824, 1893, 2553, 543, 3280, 3457, 267, 16105, 267, 543, 11733, 547, 2769, 1010, 2070, 269, 23413, 29751, 1127, 538, 713, 6648, 998, 519, 8009, 540, 606, 8484, 13269, 513, 2511, 568, 513, 3119, 2460, 540, 1022, 5339, 676, 1210, 30031, 3457, 543, 14064, 1881, 269, 594, 9096, 1250, 1957, 609, 4967, 593, 1079, 2413, 15023, 267, 795, 5282, 561, 7572, 18664, 2471, 630, 31086, 476, 279, 264, 543, 22788, 29751, 1127, 630, 31086, 476, 280, 1070, 4171, 16126, 593, 21773, 3130, 547, 513, 1390, 6708, 9356, 922, 6165, 538, 3504, 3332, 3976, 7866, 519, 11972, 31675, 540, 21773, 3130, 607, 513, 5339, 3926, 563, 306, 1399, 331, 2065, 3457, 538, 17761, 330, 887, 24031, 676, 22788, 29751, 1127, 1557, 3732, 519, 17761, 330, 887, 24031, 6648, 568, 513, 1360, 4277, 267, 543, 10058, 6609, 540, 519, 1158, 540, 513, 17761, 330, 269, 589, 5618, 4367, 547, 519, 6965, 540, 22788, 29751, 1127, 2073, 1141, 519, 5339, 1305, 3357, 6140, 689, 519, 5580, 11665, 646, 3533, 3964, 513, 10639, 585, 1373, 2864, 563, 7069, 4367, 547, 22788, 29751, 1127, 729, 267, 585, 1732, 610, 8338, 267, 513, 2864, 3983, 835, 950, 1775, 729, 538, 2852, 267, 519, 9954, 540, 861, 331, 16129, 726, 987, 941, 782, 519, 30270, 1352, 729, 1634, 607, 519, 10564, 945, 1185, 7166, 9887, 630, 3422, 273, 264, 676, 23578, 1200, 2212, 538, 513, 3154, 14089, 267, 543, 621, 729, 602, 575, 327, 770, 569, 13357, 602, 8604, 547, 1683, 519, 3355, 269, 1412, 1721, 803, 267, 519, 1034, 1271, 5339, 2680, 540, 476, 2735, 272, 814, 1044, 519, 8313, 267, 29933, 1296, 1310, 1200, 2669, 267, 540, 861, 331, 16129, 726, 987, 781, 6394, 9954, 267, 30260, 1200, 607, 835, 540, 519, 1034, 3532, 543, 20662, 880, 569, 22064, 15023, 540, 938, 942, 269, 17826, 2079, 519, 22488, 4555, 540, 513, 2915, 781, 2247, 616, 4334, 539, 609, 519, 4049, 4555, 540, 513, 3532, 17761, 330, 538, 1665, 12297, 344, 781, 6648, 11344, 13098, 10094, 543, 22788, 29751, 1127, 262, 6648, 17761, 330, 887, 24031, 269, 0, 6637, 476, 274, 538, 519, 4098, 281, 11688, 1675, 779, 519, 690, 3415, 1292, 2798, 476, 272, 519, 17748, 540, 519, 7122, 10630, 538, 19967, 14235, 568, 711, 513, 3621, 835, 855, 513, 269, 31928, 1675, 781, 1568, 543, 2395, 281, 5837, 610, 4052, 3450, 11688, 1675, 781, 1568, 543, 2395, 568, 26837, 22239, 513, 1705, 12519, 6648, 513, 811, 6297, 2079, 269, 589, 2596, 1377, 3391, 547, 930, 540, 519, 1655, 1634, 543, 6068, 1568, 540, 18340, 267, 6965, 543, 12416, 689, 3504, 575, 872, 576, 910, 519, 690, 3415, 676, 11688, 1675, 2079, 281, 1394, 547, 1283, 540, 2985, 269, 31928, 1675, 519, 4630, 20143, 1728, 332, 985, 543, 4630, 518, 3821, 609, 606, 7005, 8144, 676, 554, 7676, 575, 552, 557, 14979, 22554, 519, 690, 3415, 4342, 8822, 267, 12103, 267, 9618, 10542, 6280, 2046, 561, 5064, 267, 13275, 269, 634, 16160, 1379, 540, 2648, 538, 11688, 1675, 781, 519, 690, 3415, 910, 519, 16160, 1379, 540, 2648, 538, 11688, 1675, 781, 519, 690, 3415, 2648, 568, 835, 540, 519, 1034, 1915, 2079, 269, 769, 713, 3992, 267, 649, 1353, 519, 1412, 1492, 690, 3415, 10086, 513, 960, 540, 519, 19967, 10564, 267, 11688, 1675, 7064, 547, 1010, 960, 267, 649, 666, 917, 811, 827, 519, 10971, 267, 741, 5444, 30688, 563, 5327, 18587, 11688, 1675, 781, 519, 690, 3415, 568, 513, 1804, 8397, 10282, 540, 513, 5318, 3099, 540, 2199, 19967, 5389, 7282, 519, 10971, 267, 6896, 607, 513, 2239, 602, 6645, 875, 269, 3367, 713, 2110, 12092, 540, 519, 2034, 267, 1390, 19967, 12473, 10564, 267, 11688, 1675, 646, 5206, 519, 690, 3415, 543, 1568, 543, 2395, 267, 543, 568, 2808, 513, 1390, 19967, 5856, 269, 8056, 2664, 2299, 4647, 519, 519, 690, 3415, 543, 1568, 543, 2395, 5758, 267, 3184, 8386, 7302, 1986, 2079, 267, 1433, 4967, 267, 3594, 267, 10530, 267, 1915, 11673, 267, 3992, 4566, 267, 543, 811, 269, 19088, 5758, 3184, 476, 274, 281, 14868, 540, 5137, 6090, 529, 689, 14784, 11688, 1675, 538, 1010, 12473, 6648, 519, 519, 690, 3415, 3091, 519, 9998, 19967, 4528, 540, 6090, 529, 14784, 269, 1772, 519, 2239, 540, 519, 11200, 532, 26355, 538, 11688, 1675, 779, 519, 690, 3415, 606, 7778, 540, 519, 4207, 1158, 540, 519, 3504, 575, 872, 802, 11688, 1675, 779, 519, 690, 3415, 267, 835, 540, 563, 763, 10213, 540, 519, 5137, 540, 6228, 543, 519, 4473, 540, 519, 10971, 568, 513, 9661, 602, 814, 15068, 998, 519, 12591, 540, 11688, 1675, 267, 538, 1010, 12473, 6648, 519, 519, 690, 3415, 269, 4107, 5640, 3858, 2390, 519, 2278, 540, 519, 5888, 607, 11688, 1675, 519, 690, 3415, 25856, 1472, 519, 2035, 540, 14421, 690, 3415, 26759, 8129, 540, 1158, 543, 519, 690, 3415, 26759, 540, 10971, 269, 631, 1180, 328, 267, 29122, 267, 519, 10841, 3290, 540, 18410, 639, 543, 519, 5888, 540, 11688, 1675, 781, 519, 690, 3415, 543, 1019, 778, 3055, 2079, 540, 18410, 639, 543, 519, 5888, 540, 11688, 1675, 781, 563, 1432, 568, 519, 3932, 540, 11688, 1675, 781, 4661, 538, 1010, 1433, 519, 690, 3415, 849, 267, 1018, 568, 519, 7291, 543, 519, 9266, 2497, 540, 11688, 1675, 781, 4661, 2854, 1387, 269, 25826, 519, 1272, 267, 2053, 267, 543, 960, 540, 11688, 1675, 998, 2143, 2278, 22808, 593, 679, 4925, 269, 634, 690, 3415, 267, 14868, 543, 2495, 676, 544, 30377, 737, 544, 1783, 3504, 575, 872, 802, 941, 5461, 538, 1620, 741, 1747, 538, 519, 1158, 1472, 873, 789, 941, 1360, 5461, 538, 519, 269, 31928, 1675, 1353, 3391, 15599, 22145, 1527, 522, 1389, 3094, 6605, 6280, 2542, 281, 11688, 1675, 267, 4367, 630, 653, 476, 272, 268, 279, 267, 476, 1321, 268, 1626, 264, 543, 519, 690, 3415, 267, 630, 653, 476, 8618, 268, 9818, 264, 4063, 267, 1932, 267, 519, 5363, 29395, 563, 763, 690, 3415, 281, 14814, 3134, 923, 723, 15068, 267, 519, 519, 690, 3415, 267, 11341, 519, 14868, 540, 519, 10971, 267, 543, 519, 1568, 543, 2395, 267, 10503, 32066, 1272, 563, 763, 690, 3415, 543, 1568, 543, 2395, 676, 11688, 1675, 910, 519, 690, 3415, 5758, 543, 2079, 269, 9521, 1034, 11049, 1299, 6169, 15105, 2533, 267, 649, 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 269, 589, 6609, 540, 21050, 525, 17729, 538, 519, 690, 3415, 607, 519, 1660, 525, 6026, 11688, 1675, 267, 538, 519, 4098, 972, 729, 14784, 2443, 543, 8197, 267, 713, 568, 835, 540, 519, 1034, 269, 634, 690, 3415, 3594, 616, 4081, 3594, 585, 11239, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 519, 690, 3415, 676, 11688, 1675, 269, 1411, 666, 2744, 811, 1344, 827, 713, 19967, 960, 609, 519, 3992, 1572, 519, 690, 3415, 676, 11688, 1675, 281, 5758, 1299, 2079, 269, 634, 679, 6373, 552, 1501, 2079, 676, 943, 323, 543, 13713, 936, 713, 1650, 649, 2811, 7142, 547, 16153, 602, 972, 616, 513, 2603, 540, 10486, 1063, 713, 543, 519, 2621, 538, 519, 519, 690, 3415, 563, 763, 519, 690, 3415, 568, 513, 6648, 676, 11688, 1675, 10503, 519, 8129, 540, 519, 10971, 540, 575, 872, 576, 7768, 1472, 269, 31928, 1675, 281, 519, 690, 3415, 630, 8619, 476, 10384, 536, 576, 264, 16555, 676, 544, 19376, 795, 522, 262, 928, 531, 267, 943, 323, 7650, 7778, 543, 2079, 875, 547, 13712, 1644, 2703, 338, 561, 340, 4038, 3780, 281, 593, 519, 2470, 540, 269, 31928, 1675, 1107, 1568, 543, 2395, 11688, 1675, 729, 606, 2038, 19967, 10564, 945, 25577, 1472, 476, 10384, 536, 576, 1010, 1079, 1568, 281, 968, 1492, 690, 3415, 269 ]

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

[ 2856, 540, 930, 2186, 540, 24983, 888, 12441, 596, 6368, 3950, 1524, 519, 4670, 2924, 547, 29346, 267, 6424, 454, 4517, 6666, 873, 538, 888, 6701, 596, 2731, 267, 31205, 2713, 538, 15016, 15606, 2676, 21430, 4190, 2021, 3765, 30514, 888, 2414, 1589, 540, 782, 713, 24906, 28194, 543, 454, 10387, 27679, 14296, 540, 14420, 563, 2791, 1705, 2161, 602, 596, 2141, 4941, 547, 3643, 824, 4025, 563, 3719, 20707, 539, 31647, 267, 596, 941, 12922, 547, 8038, 563, 2252, 596, 1185, 1044, 4535, 26700, 1524, 538, 3013, 454, 2791, 1131, 723, 1044, 513, 7013, 5856, 2713, 538, 930, 8832, 4884, 563, 8967, 3739, 707, 7013, 2721, 331, 936, 513, 15555, 543, 1071, 651, 538, 513, 1715, 3840, 4975, 3046, 563, 306, 9231, 23969, 547, 6186, 609, 13879, 267, 744, 685, 10468, 650, 267, 25930, 7773, 543, 873, 782, 563, 7312, 3013, 729, 2141, 606, 3013, 540, 519, 2247, 563, 3383, 1946, 4250, 519, 8184, 888, 7312, 3013, 6424, 729, 1141, 24898, 26436, 454, 13195, 11014, 8325, 15246, 7535, 609, 9966, 874, 9445, 32181, 691, 454, 514, 930, 4055, 3297, 513, 19440, 1606, 680, 13593, 3046, 454, 8489, 595, 2867, 22823, 2760, 29860, 610, 8593, 855, 24363, 267, 812, 2336, 3891, 1175, 24363, 2476, 563, 9617, 899, 596, 563, 3383, 596, 2461, 1055, 1287, 267, 6424, 888, 12988, 909, 519, 536, 17056, 4155, 2676, 307, 9506, 519, 7944, 1472, 519, 9741, 12266, 32119, 454, 32382, 519, 556, 2644, 540, 1772, 529, 267, 7043, 2250, 519, 2673, 540, 942, 563, 288, 6960, 546, 28984, 10359, 6928, 267, 27342, 6883, 593, 606, 10002, 8491, 2627, 2676, 2171, 3058, 513, 1906, 1134, 17898, 7505, 4555, 883, 707, 454, 4692, 596, 2995, 803, 267, 6424, 912, 310, 699, 596, 2473, 4211, 22834, 267, 610, 454, 300, 699, 569, 28096, 12708, 888, 1692, 827, 713, 942, 594, 2995, 596, 267, 6424, 912, 763, 8141, 729, 2141, 972, 563, 3719, 711, 899, 20707, 539, 31647, 267, 899, 8871, 9220, 639, 563, 763, 2713, 10751, 540, 18266, 2676, 2419, 7134, 547, 707, 3046, 22454, 2676, 6546, 18163, 533, 842, 540, 2961, 3149, 6199, 561, 4526, 28594, 1177, 532, 693, 707, 6797, 563, 12024, 8871, 9220, 639, 6424, 2676, 763, 8141, 568, 2141, 1934, 563, 2690, 519, 3735, 267, 1390, 6424, 8065, 328, 6202, 282, 10564, 267, 31075, 2676, 27237, 295, 5058, 814, 5423, 596, 585, 901, 269, 23875, 2479, 786, 563, 10303, 8726, 568, 8345, 3767, 814, 2760, 5949, 1354, 563, 1607, 568, 513, 1357, 5991, 4669, 3293, 5698, 609, 476, 2767, 5159, 267, 9380, 832, 543, 12372, 689, 519, 1158, 540, 22383, 267, 26135, 267, 20963, 3203, 543, 27227, 267, 1519, 9291, 590, 1329, 330, 1171, 545, 345, 267, 6424, 32008, 267, 700, 3554, 1744, 17369, 267, 3794, 3317, 28529, 787, 267, 1744, 21294, 918, 2033, 267, 700, 1513, 7009, 30448, 543, 519, 5969, 6316, 9380, 1116, 1462, 2762, 540, 519, 3810, 28601, 1433, 14704, 681, 1014, 24806, 563, 1607, 25139, 1433, 568, 513, 4207, 667, 14397, 779, 23942, 1290, 9037, 282, 513, 3460, 998, 519, 21334, 1308, 5251, 540, 513, 24940, 3961, 269, 898, 3096, 6965, 547, 4020, 513, 2239, 602, 7710, 4798, 540, 2669, 543, 2530, 267, 3023, 543, 2648, 267, 543, 519, 2413, 1977, 543, 6014, 3961, 1374, 281, 676, 519, 5177, 779, 900, 5799, 8642, 14704, 267, 1462, 19212, 267, 3879, 15249, 681, 1014, 24806, 563, 763, 2575, 568, 7768, 543, 3812, 676, 12835, 16438, 770, 267, 608, 268, 29994, 328, 267, 5664, 7232, 6141, 15690, 4075, 340, 657, 334, 16500, 611, 2311, 345, 3000, 267, 2059, 609, 2947, 824, 15690, 5159, 563, 24309, 676, 5842, 17630, 5065, 16384, 528, 7108, 11779, 267, 713, 25139, 1433, 786, 22499, 519, 1259, 596, 2070, 6965, 676, 8544, 3107, 14676, 267, 1148, 267, 2575, 543, 14318, 538, 513, 5963, 2189, 1259, 269, 898, 3096, 6965, 547, 4020, 513, 2239, 602, 7710, 4798, 540, 2669, 543, 2530, 267, 3023, 543, 2648, 267, 543, 519, 2413, 1977, 543, 6014, 3961, 269, 634, 1433, 568, 2139, 585, 4647, 593, 519, 1775, 307, 17480, 15188, 543, 11386, 7591, 267, 607, 1134, 607, 538, 513, 476, 14917, 2985, 267, 4628, 11609, 538, 7990, 2182, 20129, 7160, 2139, 10758, 29308, 28313, 563, 763, 26496, 7160, 24864, 519, 6316, 540, 1018, 568, 2009, 609, 1459, 21768, 18510, 274, 2029, 269, 898, 568, 711, 606, 2561, 267, 621, 568, 513, 3020, 1433, 602, 544, 1551, 625, 1402, 1148, 267, 14676, 267, 1285, 656, 3766, 31938, 267, 15690, 267, 9275, 2262, 6965, 267, 3381, 543, 27515, 267, 543, 1826, 1374, 538, 513, 6073, 602, 649, 723, 711, 2938, 1354, 4959, 590, 4047, 20724, 288, 6579, 21764, 286, 814, 519, 1745, 540, 606, 818, 974, 2399, 689, 519, 2282, 2104, 1107, 513, 25761, 960, 540, 513, 1007, 9135, 1922, 6748, 6965, 267, 8642, 1148, 267, 2575, 267, 543, 14318, 563, 25456, 9703, 3817, 912, 3041, 590, 4047, 20724, 288, 6579, 21764, 286, 681, 14641, 568, 1269, 4097, 269, 4817, 267, 15562, 7709, 303, 5058, 5442, 12710, 11070, 3633, 12409, 5494, 870, 585, 4841, 543, 11334, 281, 259, 3066, 269, 4817, 454, 13828, 1642, 5060, 324, 2182, 16225, 7160, 12813, 4785, 19347, 543, 1660, 1227, 20639, 26496, 2561, 7160, 540, 1772, 2701, 12232, 286, 22753, 281, 1269, 4375, 269, 4817, 454, 4537, 6235, 3769, 538, 9753, 1369, 519, 2475, 543, 922, 11182, 563, 2252, 596, 616, 538, 6628, 543, 5924, 2342, 267, 5225, 3346, 1250, 3864, 17783, 29993, 27684, 11071, 8605, 687, 945, 786, 1491, 707, 1931, 543, 7006, 2255, 547, 707, 2232, 519, 1482, 1554, 281, 18078, 17106, 11333, 3820, 454, 18800, 338, 7790, 17610, 1284, 20944, 17352, 269, 4208, 1411, 654, 13860, 6423, 23067, 286, 2142, 1250, 16823, 563, 14881, 326, 528, 779, 968, 26877, 636, 3990, 3883, 892, 568, 899, 513, 1007, 9135, 20193, 568, 513, 8748, 552, 330, 874, 2858, 545, 4082, 282, 513, 12760, 540, 519, 6575, 1848, 2443, 7313, 564, 9253, 28635, 1695, 4673, 454, 2108, 14367, 4015, 1772, 2701, 12232, 286, 814, 519, 1745, 540, 606, 818, 974, 2399, 689, 519, 2282, 2104, 1107, 513, 25761, 960, 540, 513, 1007, 9135, 1922, 6748, 6965, 267, 8642, 1148, 267, 2575, 267, 543, 14318, 1848, 2443, 263, 26596, 17630, 779, 264, 4975, 19468, 454, 2108, 3674, 590, 4047, 12232, 9495, 568, 606, 4603, 267, 543, 2542, 621, 7959, 811, 899, 606, 957, 540, 6602, 2507, 20866, 972, 779, 513, 26497, 547, 29957, 998, 922, 3817, 269, 898, 779, 606, 16529, 1900, 4724, 1018, 3059, 2923, 666, 630, 663, 786, 264, 581, 1848, 1765, 763, 9628, 17650, 2317, 454, 763, 14917, 2407, 7990, 267, 4628, 11609, 2182, 3382, 1642, 5060, 3975, 819, 568, 2139, 538, 1167, 518, 940, 543, 3235, 937, 545, 4830, 29481, 10876, 16638, 6984, 18278, 476, 26493, 538, 2961, 3149, 21112, 267, 31522, 2675, 1901, 3883, 32697, 538, 7402, 8181, 553, 267, 519, 5455, 11034, 18844, 538, 5842, 17630, 267, 32040, 520, 574, 7734, 663, 27405, 1190, 30982, 849, 538, 5842, 17630, 267, 4975, 28691, 543, 519, 23101, 26753, 5832, 538, 3057, 514, 6019, 543, 12312, 5448, 6019, 267, 10838, 513, 3395, 1297, 540, 4830, 1433, 8637, 563, 24576, 1463, 689, 9796, 21595, 543, 11288, 568, 3769, 2336, 2791, 1810, 1406, 991, 1530, 2096, 712, 932, 342, 770, 267, 932, 760, 918, 1342, 543, 824, 9858, 547, 2995, 596, 602, 27977, 543, 14676, 616, 4105, 2959, 540, 3860, 6667, 630, 24392, 789, 798, 602, 1934, 1040, 1924, 6148, 596, 2461, 3206, 827, 3695, 519, 8642, 3209, 7706, 267, 855, 596, 8910, 899, 1945, 811, 11108, 982, 8912, 267, 811, 856, 540, 519, 8723, 269, 4270, 267, 1934, 779, 519, 1101, 540, 513, 3126, 540, 10372, 602, 2901, 1219, 344, 610, 23304, 731, 11008, 1436, 607, 14676, 269, 1656, 519, 1101, 267, 1772, 2701, 12232, 29845, 568, 606, 26496, 602, 849, 2591, 6671, 1433, 8760, 538, 519, 1184, 563, 2026, 596, 20801, 998, 267, 596, 5873, 476, 4198, 271, 338, 3579, 15690, 538, 519, 4282, 269, 3973, 7784, 13933, 1025, 6814, 856, 540, 24076, 269, 589, 1781, 597, 521, 902, 269, 17268, 13626, 269, 645, 558, 2125, 6749, 689, 519, 6607, 269, 1656, 782, 519, 1247, 267, 4484, 13257, 30122, 2408, 267, 28550, 267, 2981, 267, 543, 642, 4314, 1247, 9275, 1913, 954, 933, 1511, 609, 519, 2575, 543, 3280, 2360, 269, 1772, 2701, 12232, 286, 568, 513, 1098, 2173, 4215, 6965, 4015, 267, 835, 602, 24864, 693, 519, 7182, 540, 26496, 2029, 269, 898, 779, 849, 14676, 267, 2186, 540, 563, 21132, 2278, 267, 16384, 528, 7108, 11779, 267, 568, 513, 476, 1220, 271, 4696, 14676, 1414, 30235, 5856, 269, 1261, 6257, 1010, 476, 2004, 610, 865, 9954, 607, 968, 320, 4207, 667, 14397, 779, 5606, 1716, 334, 2507, 602, 7710, 4798, 540, 2669, 543, 2530, 267, 3023, 543, 2648, 1848, 1261, 779, 3769, 513, 7008, 540, 3044, 267, 8470, 268, 2425, 10642, 13371, 1433, 6386, 267, 1519, 835, 21235, 676, 966, 585, 966, 754, 24297, 779, 6424, 32008, 269, 1809, 519, 13557, 540, 519, 1433, 568, 14219, 1508, 539, 609, 2575, 543, 824, 2360, 602, 3986, 519, 7099, 344, 12383, 543, 8766, 626, 27515, 689, 513, 4763, 540, 824, 9952, 5159, 269, 634, 1899, 1575, 16113, 2882, 25960, 667, 1042, 323, 779, 700, 3554, 1744, 17369, 543, 1744, 21294, 918, 2033, 607, 1134, 607, 9291, 590, 1329, 330, 1171, 545, 345, 540, 667, 732, 22563, 559, 27582, 548, 330, 10177, 21239, 269, 4107, 11141, 568, 519, 2949, 1374, 267, 676, 12913, 14676, 3879, 15249, 543, 1582, 17393, 8282, 968, 1260, 14293, 7376, 892, 681, 1014, 24806, 269, 2060, 8642, 1166, 1515, 543, 1035, 8462, 267, 24806, 18327, 5128, 547, 581, 513, 17709, 3059, 2085, 24288, 547, 853, 2946, 874, 2033, 26864, 1301, 2946, 543, 7917, 7136, 514, 563, 2252, 596, 2461, 5461, 538, 13371, 2835, 267, 8458, 616, 596, 4076, 4862, 519, 4408, 15608, 17363, 543, 10793, 17340, 2421, 269, 2991, 782, 267, 741, 11450, 21490, 519, 1259, 585, 519, 13642, 6520, 540, 14676, 4098, 538, 519, 476, 3707, 271, 338, 269, 2060, 634, 3203, 540, 519, 17363, 543, 17340, 2421, 22456, 676, 4460, 5345, 534, 1512, 267, 1451, 811, 827, 519, 5918, 334, 945, 11827, 29810, 3197, 899, 18279, 3013, 543, 9995, 2006, 267, 22885, 519, 2856, 540, 15832, 14676, 267, 543, 2813, 513, 1007, 3044, 585, 519, 11964, 540, 6760, 267, 7262, 267, 543, 16897, 13371, 2835, 269, 6875, 513, 1413, 3330, 519, 1585, 3344, 540, 741, 4876, 267, 543, 1294, 930, 540, 519, 1568, 602, 3989, 873, 563, 10144, 723, 1044, 6998, 803, 1946, 594, 8359, 519, 1981, 540, 1101, 13629, 513, 1433, 540, 6965, 1354, 13629, 1250, 4015, 540, 2110, 2984, 5990, 966, 6579, 6369, 12283, 5508, 700, 20846, 543, 1250, 1101, 3209, 267, 5990, 623, 6369, 294, 16604, 269, 4208, 10131, 513, 1603, 4876, 593, 519, 1394, 540, 971, 513, 20495, 543, 10002, 641, 983, 1106, 540, 3332, 888, 7069, 1101, 2626, 814, 1044, 602, 607, 513, 16994, 23507, 337, 540, 519, 17076, 5261, 590, 1002, 1676, 267, 594, 4941, 547, 900, 3634, 1010, 4876, 282, 1101, 607, 513, 6801, 1222, 23071, 630, 514, 1250, 2247, 1070, 543, 2034, 267, 607, 513, 21184, 540, 519, 3203, 540, 1975, 7505, 6478, 563, 3719, 519, 1875, 635, 14037, 2601, 568, 4502, 7713, 1934, 281, 2429, 1169, 2101, 22184, 540, 1480, 9740, 543, 10340, 2676, 22437, 4479, 814, 9738, 513, 2101, 2990, 538, 519, 8552, 540, 1480, 6575, 282, 3020, 2066, 2486, 267, 4529, 267, 12084, 543, 5553, 563, 1607, 546, 27681, 2540, 540, 6639, 267, 3621, 543, 7499, 9740, 282, 713, 5736, 649, 4867, 21078, 538, 267, 568, 519, 9868, 547, 519, 1480, 4341, 563, 2171, 723, 22121, 938, 2702, 547, 5660, 17826, 585, 824, 811, 6899, 543, 561, 2444, 643, 1190, 17915, 269, 1284, 723, 796, 3598, 2740, 519, 2283, 2225, 547, 23365, 6000, 538, 519, 7067, 7297, 540, 606, 1148, 602, 649, 267, 607, 513, 2249, 723, 6738, 899, 513, 16392, 10786, 538, 519, 1480, 4677, 267, 547, 2892, 557, 519, 24074, 538, 938, 20339, 543, 938, 8186, 4586, 3528, 7432, 938, 19758, 593, 1346, 3636, 7067, 7297, 649, 723, 8697, 6000, 269, 1284, 616, 782, 538, 25680, 991, 540, 14317, 563, 4517, 602, 568, 4010, 1018, 17826, 7793, 1227, 267, 20205, 563, 22437, 4479, 5036, 596, 1863, 267, 585, 1863, 2336, 2252, 596, 917, 875, 547, 5469, 543, 2628, 3007, 547, 519, 5705, 2401, 4778, 538, 519, 8552, 540, 707, 2247, 779, 17133, 563, 7617, 568, 513, 7313, 2045, 3364 ]

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

[ 8118, 547, 519, 1857, 281, 593, 5130, 476, 273, 267, 543, 593, 519, 14890, 779, 14512, 267, 799, 891, 2395, 568, 593, 5412, 476, 2537, 269, 901, 11180, 23972, 729, 3323, 538, 476, 3707, 279, 630, 4537, 16305, 476, 2537, 1040, 0, 299, 545, 1619, 782, 519, 6337, 593, 713, 3135, 693, 938, 536, 719, 1664, 8666, 8116, 585, 21305, 11147, 267, 12383, 543, 7851, 540, 3567, 1063, 519, 476, 5908, 271, 338, 543, 476, 4350, 271, 338, 630, 9288, 25702, 267, 19248, 880, 334, 267, 2038, 8058, 320, 994, 1432, 513, 8748, 3896, 256, 3767, 594, 6557, 782, 562, 1846, 4157, 1662, 4512, 2336, 288, 13037, 10581, 568, 1373, 15504, 1524, 513, 8265, 1282, 19109, 9369, 30778, 1340, 539, 717, 542, 631, 1846, 19441, 267, 799, 3217, 1747, 1282, 5147, 269, 634, 13037, 729, 3323, 950, 538, 476, 279, 7597, 267, 19109, 9369, 729, 7092, 689, 11641, 559, 775, 269, 1635, 1931, 540, 14890, 1530, 328, 11445, 630, 25616, 268, 279, 3199, 267, 17276, 372, 483, 25520, 14035, 358, 7461, 485, 1070, 519, 1004, 540, 19109, 9369, 7281, 539, 547, 519, 5601, 540, 962, 553, 10440, 1744, 9068, 585, 5838, 766, 540, 519, 2068, 269, 1280, 1142, 540, 519, 24239, 29350, 16899, 540, 3567, 267, 513, 21243, 10300, 828, 323, 729, 10268, 267, 1927, 609, 544, 1731, 25493, 630, 335, 23750, 23936, 547, 4163, 513, 5601, 264, 689, 519, 695, 9068, 269, 769, 2663, 1296, 267, 952, 2068, 13264, 856, 1586, 713, 9161, 729, 7368, 269, 898, 729, 1500, 606, 5993, 2680, 538, 476, 280, 3583, 269, 3683, 519, 1296, 267, 519, 13037, 2968, 5051, 14969, 543, 3638, 22278, 3323, 547, 946, 621, 547, 4159, 741, 5763, 269, 4653, 779, 717, 542, 631, 1846, 19441, 630, 28781, 593, 519, 8666, 593, 519, 2451, 264, 1869, 5654, 1360, 1454, 899, 621, 1705, 593, 713, 8666, 689, 519, 476, 6245, 271, 338, 269, 10251, 267, 1360, 1906, 540, 519, 11308, 5656, 540, 1346, 2395, 2611, 563, 763, 5031, 540, 519, 13037, 568, 519, 31959, 540, 519, 7372, 11308, 6083, 1846, 267, 1572, 586, 4821, 630, 31271, 365, 264, 543, 554, 32634, 630, 421, 487, 378, 1040, 1703, 616, 476, 280, 554, 32634, 267, 1142, 20604, 538, 693, 513, 2463, 762, 476, 1321, 9748, 269, 634, 476, 2537, 586, 4821, 616, 4130, 543, 9260, 12341, 1063, 476, 272, 543, 476, 273, 9748, 269, 2353, 519, 6083, 1846, 616, 27905, 3585, 21243, 609, 7148, 652, 1845, 267, 930, 540, 873, 1500, 538, 19109, 9369, 267, 1866, 16865, 689, 13383, 269, 1306, 513, 1804, 1297, 540, 2367, 7485, 519, 581, 1335, 16251, 267, 12372, 1694, 3330, 543, 1404, 13037, 2575, 563, 763, 10581, 2938, 538, 519, 2725, 25702, 16527, 8666, 568, 1572, 17578, 25431, 670, 32634, 630, 10951, 486, 421, 487, 378, 1070, 621, 568, 835, 540, 519, 1034, 29413, 3283, 540, 519, 13037, 269, 17578, 25431, 670, 32634, 22842, 17578, 4157, 8500, 23449, 1100, 631, 1731, 9369, 630, 10951, 486, 14035, 506, 26109, 489, 28374, 16533, 488, 1070, 519, 1744, 20041, 5601, 540, 519, 7599, 269, 4340, 547, 5545, 13299, 267, 519, 5545, 10195, 941, 2813, 676, 519, 5256, 5601, 594, 345, 534, 698, 328, 543, 519, 4775, 5601, 594, 345, 534, 9564, 269, 2290, 1554, 267, 594, 345, 534, 9564, 10523, 538, 27638, 543, 594, 345, 534, 698, 328, 267, 7753, 676, 28194, 4422, 547, 1294, 1200, 538, 519, 896, 16447, 269, 1261, 568, 28280, 676, 1018, 646, 12034, 543, 7904, 525, 2476, 269, 2991, 13059, 547, 519, 2244, 540, 519, 2713, 267, 594, 345, 534, 698, 328, 1625, 5809, 5128, 609, 1216, 269, 1879, 594, 345, 534, 698, 328, 729, 1127, 1010, 2451, 3750, 267, 519, 3141, 15831, 2549, 831, 553, 340, 744, 558, 1731, 9564, 568, 4535, 269, 1879, 646, 729, 1127, 1010, 1318, 3750, 267, 17578, 4157, 8500, 23449, 1100, 631, 1731, 9369, 568, 4535, 269, 1879, 646, 6368, 729, 1127, 1010, 9224, 267, 519, 7088, 5601, 19626, 5622, 1100, 631, 1731, 9369, 568, 4535, 269, 634, 8545, 568, 519, 5601, 602, 519, 1004, 540, 19109, 9369, 7281, 539, 547, 693, 962, 553, 10440, 1744, 9068, 950, 19109, 9369, 11641, 559, 775, 986, 3022, 998, 519, 2749, 538, 476, 279, 7597, 563, 24464, 538, 2757, 856, 22327, 7485, 513, 554, 32634, 1524, 513, 8265, 454, 4002, 519, 3135, 540, 3703, 4793, 2946, 568, 513, 14980, 3377, 516, 601, 6029, 519, 717, 542, 631, 1846, 19441, 540, 476, 4572, 279, 269, 1703, 616, 2907, 1082, 2413, 5656, 267, 855, 513, 2370, 2757, 6189, 1869, 3788, 563, 16524, 942, 3567, 17055, 1520, 2349, 1678, 652, 6359, 333, 814, 606, 5140, 4367, 547, 519, 717, 542, 631, 1846, 19441, 593, 1010, 5816, 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 ]

[ 0, 6701, 596, 11842, 827, 519, 2640, 540, 595, 20792, 13813, 286, 1403, 9811, 267, 1224, 593, 269, 769, 713, 5816, 267, 649, 786, 2263, 930, 540, 519, 24036, 3282, 2640, 585, 2960, 267, 4552, 543, 1454, 811, 563, 290, 20792, 3282, 568, 513, 1826, 540, 1898, 3282, 602, 814, 1044, 1031, 585, 5215, 540, 1296, 538, 2757, 4915, 563, 290, 20792, 3282, 568, 6508, 689, 519, 6418, 13626, 540, 4054, 538, 519, 12593, 595, 4883, 600, 558, 636, 269, 898, 814, 513, 25970, 267, 6653, 543, 3636, 32709, 799, 2306, 621, 3730, 585, 12906, 7752, 2805, 269, 595, 20792, 3282, 949, 581, 1031, 547, 1118, 1651, 1619, 16853, 267, 3282, 23399, 267, 1212, 4461, 543, 13526, 6979, 269, 595, 20792, 3282, 568, 513, 2067, 16185, 585, 3983, 7362, 607, 1134, 2336, 1103, 930, 4529, 267, 24036, 3282, 568, 2808, 1898, 585, 7657, 28666, 9702, 3536, 971, 607, 11945, 2650, 267, 22481, 2650, 543, 824, 8286, 1500, 609, 1585, 5162, 23601, 2249, 269, 3367, 593, 547, 917, 811, 827, 713, 3282, 602, 2501, 689, 606, 3504, 24996, 563, 288, 10374, 3778, 2986, 595, 20792, 13813, 912, 763, 946, 540, 24036, 3282, 7389, 1394, 547, 811, 982, 476, 275, 267, 1822, 1296, 3516, 950, 6592, 2963, 4951, 602, 621, 729, 1031, 676, 3504, 21072, 547, 1118, 544, 27186, 267, 2377, 531, 2719, 12862, 543, 1651, 1619, 269, 9147, 16380, 849, 3893, 741, 3946, 593, 24036, 3282, 267, 1141, 789, 1031, 621, 607, 606, 21428, 549, 4134, 13519, 543, 606, 1884, 573, 1774, 1996, 1085, 23705, 542, 588, 902, 563, 763, 6259, 18318, 4547, 713, 3282, 547, 2342, 1317, 540, 922, 16392, 1871, 1282, 10120, 2053, 269, 769, 519, 2250, 267, 621, 814, 1044, 1031, 585, 2295, 3676, 267, 607, 606, 21428, 549, 4134, 13519, 267, 543, 607, 513, 10826, 585, 11926, 540, 519, 838, 22220, 269, 898, 729, 849, 1031, 585, 2960, 543, 4552, 563, 763, 3282, 814, 1044, 1031, 538, 3504, 2053, 585, 513, 3099, 540, 1114, 5301, 602, 616, 711, 1175, 3908, 547, 5986, 543, 4915, 855, 849, 3769, 922, 946, 538, 3909, 18428, 563, 763, 3282, 540, 24036, 568, 3812, 538, 12868, 267, 3624, 543, 16444, 20092, 563, 19119, 2986, 595, 20792, 13813, 454, 26123, 21072, 267, 16380, 543, 14564, 782, 6785, 519, 2640, 540, 24036, 3282, 267, 543, 922, 946, 538, 4915, 5170, 547, 581, 28125, 2221, 563, 2171, 5000, 596, 547, 1413, 693, 930, 540, 519, 2640, 540, 24036, 3282, 585, 4552, 267, 2960, 267, 3068, 543, 2015, 4946, 621, 547, 707, 3232, 1072, 20786, 563, 19119, 2986, 595, 20792, 13813, 1280, 16164, 454, 763, 4527, 540, 4550, 268, 31038, 1218, 2306, 713, 3282, 513, 1434, 11134, 547, 1521, 3141, 321, 5281, 267, 17079, 17486, 267, 530, 11301, 543, 1022, 540, 1346, 30919, 602, 3112, 581, 646, 4705, 3728, 1210, 824, 11955, 269, 4706, 4550, 13611, 3601, 786, 15983, 14867, 596, 689, 621, 577, 1465, 267, 543, 593, 1283, 540, 602, 267, 922, 4550, 268, 31038, 656, 3601, 786, 849, 1118, 707, 2960, 5347, 543, 21743, 2899, 1586, 563, 9989, 595, 20792, 13813, 21079, 16959, 1145, 2986, 634, 16164, 888, 290, 20792, 3282, 585, 2960, 2337, 609, 3819, 1145, 543, 890, 9934, 540, 519, 2960, 269, 1411, 949, 1265, 621, 5363, 950, 596, 723, 3819, 15649, 593, 707, 3068, 610, 824, 2694, 540, 707, 1560, 269, 4635, 713, 1587, 1522, 849, 1450, 930, 2960, 23209, 712, 566, 547, 979, 2476, 269, 595, 20792, 3282, 585, 2960, 568, 4122, 1031, 607, 513, 2067, 4244, 547, 1427, 26096, 610, 824, 811, 7199, 2960, 3249, 2472, 563, 19119, 2986, 595, 20792, 13813, 1280, 16164, 15302, 454, 2005, 568, 2009, 547, 946, 621, 1996, 26253, 267, 27728, 543, 1022, 2960, 3676, 602, 616, 3361, 676, 17343, 269, 901, 568, 1317, 891, 5563, 616, 1419, 15427, 676, 3819, 2916, 610, 4411, 4365, 269, 1452, 2175, 2014, 2960, 2042, 267, 1519, 621, 577, 1465, 267, 25017, 543, 11926, 267, 799, 1291, 547, 3968, 610, 6553, 952, 711, 23174, 5612, 269, 1403, 713, 4523, 267, 1287, 7311, 24036, 3282, 547, 519, 2960, 786, 6961, 3730, 585, 596, 563, 28274, 24036, 1898, 3282, 1283, 1227, 568, 1434, 585, 8156, 6553, 269, 898, 666, 849, 948, 538, 17212, 1324, 519, 1928, 3361, 676, 2960, 2042, 269, 634, 3282, 786, 849, 3986, 1973, 10009, 543, 1118, 707, 2960, 2281, 2635, 782, 936, 1586, 563, 19119, 2986, 595, 20792, 13813, 1280, 8131, 454, 290, 20792, 3282, 1898, 814, 21734, 3601, 543, 814, 1978, 7135, 602, 666, 21391, 694, 321, 636, 2504, 269, 1530, 321, 636, 568, 606, 522, 1176, 21131, 602, 267, 950, 9658, 1540, 593, 519, 3068, 267, 666, 2014, 18383, 563, 290, 20792, 3282, 585, 3068, 849, 3568, 21734, 3601, 267, 3226, 1996, 11330, 542, 756, 1461, 1756, 1035, 5886, 269, 2290, 1353, 1336, 602, 595, 4883, 600, 558, 636, 22101, 807, 630, 322, 817, 807, 24036, 264, 6978, 3282, 1185, 519, 1034, 1713, 7409, 7480, 2360, 593, 623, 269, 1035, 5886, 543, 729, 849, 519, 2547, 6757, 547, 3339, 2960, 2281, 267, 10834, 922, 1761, 607, 606, 2500, 18383, 2126, 563, 763, 7848, 540, 24036, 1898, 3282, 609, 824, 2067, 5820, 7472, 1360, 2318, 2164, 585, 18383, 950, 4294, 1283, 1227, 269, 901, 568, 1390, 547, 946, 952, 596, 616, 4466, 621, 2352, 547, 4019, 24036, 3282, 2047, 593, 707, 3068, 269, 1280, 1383, 267, 519, 7848, 540, 24036, 1898, 3282, 609, 7401, 3529, 1898, 3282, 568, 811, 2500, 538, 4227, 18383, 2094, 1312, 11041, 723, 1884, 1047, 10364, 7907, 563, 9827, 267, 6423, 281, 595, 2988, 816, 12708, 13813, 11588, 1280, 8131, 454, 290, 20792, 13813, 11588, 1280, 22458, 454, 763, 2702, 540, 24036, 3282, 547, 1852, 546, 6387, 2504, 2306, 621, 606, 5140, 5848, 584, 6500, 269, 589, 1353, 3370, 538, 519, 4139, 4750, 540, 32536, 1108, 1336, 856, 602, 2527, 1645, 24036, 3282, 883, 519, 2960, 814, 606, 7525, 1198, 538, 4227, 546, 663, 745, 742, 543, 9013, 21435, 1166, 1136, 269, 898, 3568, 1164, 2157, 540, 14434, 799, 1599, 607, 513, 2067, 29089, 894, 267, 7551, 7303, 15451, 2208, 593, 5701, 4552, 563, 9989, 595, 20792, 13813, 715, 712, 880, 634, 2480, 531, 335, 286, 1923, 11588, 2986, 595, 20792, 13813, 1280, 2480, 531, 335, 454, 290, 20792, 3282, 585, 4552, 568, 3638, 538, 1898, 9761, 7408, 971, 607, 15060, 268, 274, 543, 15060, 268, 277, 267, 1818, 621, 513, 1434, 5848, 584, 6500, 585, 3819, 9470, 1186, 269, 1635, 19620, 7509, 547, 519, 2960, 267, 621, 6971, 21422, 543, 2337, 2061, 19849, 23035, 1166, 1389, 563, 8448, 7135, 1459, 1331, 8324, 589, 267, 645, 272, 267, 645, 273, 543, 595, 267, 799, 948, 12954, 1973, 10009, 693, 519, 21435, 1377, 543, 2569, 4552, 2530, 676, 3246, 4105, 5567, 585, 32235, 547, 2736, 1524, 2025, 2281, 543, 3132, 1007, 4552, 2281, 563, 19119, 2986, 595, 20792, 13813, 1280, 22458, 12618, 1656, 16473, 774, 15619, 22458, 454, 763, 14434, 1459, 538, 24036, 1898, 3282, 616, 2111, 547, 2061, 1591, 3441, 3361, 676, 1863, 18119, 630, 1729, 343, 1231, 1070, 7551, 7303, 519, 12614, 540, 4552, 2530, 543, 6067, 3539, 540, 4552, 563, 1103, 513, 1353, 3370, 538, 24695, 339, 8839, 3194, 267, 24036, 13626, 3282, 4951, 2318, 2164, 538, 5009, 1007, 4552, 2208, 543, 4227, 15454, 24827, 538, 6923, 12457, 25647, 14918, 1310, 22521, 3498, 585, 476, 2764, 2395, 563, 8448, 7135, 971, 607, 943, 11209, 1938, 543, 552, 1872, 523, 565, 1336, 538, 24036, 3282, 666, 3895, 1973, 10009, 693, 519, 21435, 1858, 267, 799, 568, 1271, 585, 2635, 32235, 3056, 547, 606, 2333, 538, 4552, 2208, 563, 290, 20792, 13813, 17121, 13716, 338, 454, 2467, 616, 930, 11959, 602, 1223, 2049, 609, 24036, 1898, 3282, 267, 971, 607, 13027, 3346, 27150, 267, 7929, 2042, 267, 3750, 16698, 267, 543, 2960, 6547, 269, 1717, 267, 713, 4523, 547, 581, 606, 22166, 2864, 982, 513, 3020, 14711, 282, 4061, 267, 596, 1131, 581, 3908, 1152, 547, 1360, 1804, 13066, 540, 713, 6219, 1354, 2348, 606, 8801, 5114, 563, 2252, 596, 723, 3810, 6213, 2960, 267, 621, 568, 5227, 547, 798, 513, 15429, 1449, 1354, 1210, 519, 3282, 593, 1804, 2127, 540, 519, 1560, 610, 4552, 563, 31807, 3539, 1656, 19554, 454, 763, 3282, 666, 581, 12349, 689, 2199, 7966, 9313, 610, 2228, 269, 1280, 1655, 2164, 267, 2327, 602, 596, 1152, 4444, 6986, 24036, 1898, 3282, 563, 2005, 568, 1655, 547, 4558, 707, 24036, 3282, 538, 513, 4158, 267, 3579, 1747, 1141, 621, 786, 711, 581, 6534, 547, 7943, 610, 3002, 269, 0, 19667, 516, 328, 22560, 6168, 29621, 281, 590, 1030, 518, 645, 699, 880, 527, 454, 1607, 3018, 649, 2253, 547, 1224, 519, 22560, 2899, 1586, 269, 1284, 723, 1175, 8737, 519, 962, 558, 570, 990, 574, 543, 723, 9976, 519, 18710, 540, 519, 22560, 602, 13201, 1335, 814, 2016, 721, 269, 2353, 540, 28822, 531, 962, 529, 549, 601, 2253, 4195, 543, 616, 2016, 519, 4316, 547, 711, 1152, 3398, 519, 22560, 543, 1451, 689, 922, 2984, 543, 5378, 345, 341, 582, 267, 855, 547, 2648, 1142, 1268, 602, 13201, 1335, 814, 2813, 269, 769, 29807, 1002, 2142, 3306, 527, 649, 1265, 835, 540, 519, 4493, 540, 1946, 649, 1058, 1331, 1169, 1268, 538, 28822, 531, 962, 529, 549, 601, 543, 1169, 1268, 538, 519, 1158, 269, 2201, 519, 15795, 1554, 540, 5137, 519, 22560, 3081, 968, 341, 599, 643, 19207, 4432, 758, 574, 1696, 1185, 600, 914, 345, 531, 15879, 892, 13201, 1335, 5932, 812, 263, 1348, 1004, 264, 538, 1010, 1378, 3239, 269, 2353, 1004, 941, 2813, 538, 13201, 1335, 779, 3239, 543, 649, 917, 602, 13201, 1335, 779, 3239, 568, 3501, 269, 3143, 2339, 1018, 2110, 5765, 513, 1268, 1522, 723, 267, 646, 568, 1869, 2813, 538, 13201, 1335, 779, 3239, 563, 5472, 540, 721, 723, 28919, 543, 2591, 269, 2368, 540, 938, 2591, 616, 811, 7298, 1287, 824, 3283, 269, 1809, 649, 782, 723, 873, 269, 1656, 649, 782, 616, 6068, 8449, 676, 13201, 1335, 5103, 519, 2591, 649, 3068, 563, 2171, 849, 782, 723, 7221, 543, 7907, 602, 1118, 721, 2189, 543, 2027, 269, 1284, 991, 547, 1451, 547, 5660, 519, 15421, 602, 1142, 540, 721, 723, 543, 2648, 543, 2463, 1142, 824, 519, 1259, 13201, 1335, 2813, 721, 267, 538, 1010, 3239, 267, 914, 2763, 12661, 4432, 758, 574, 267, 536, 685, 344, 778, 611, 563, 763, 7736, 540, 29807, 1002, 25424, 12909, 827, 2679, 519, 18975, 540, 645, 8475, 269, 2311, 519, 4098, 540, 713, 28828, 330, 621, 14753, 827, 875, 741, 729, 9322, 538, 519, 1158, 269, 15526, 12038, 519, 1482, 1893, 543, 5249, 1927, 269, 1358, 5249, 536, 685, 344, 778, 611, 267, 1927, 269, 1809, 519, 1004, 1185, 519, 4316, 547, 1491, 713, 9322, 543, 946, 621, 8350, 1335, 1744, 600, 599, 574, 268, 547, 1350, 528, 1518, 13201, 1335, 269, 1358, 1223, 723, 3144, 741, 960, 1927, 543, 3710, 513, 1158, 602, 6854, 5378, 345, 341, 582, 543, 4553, 519, 22560, 779, 1259, 540, 1272, 269, 5502, 519, 1004, 540, 519, 5108, 1310, 25424, 1705, 9409, 543, 5609, 2740, 1996, 1142, 824, 269, 1358, 588, 1961, 267, 789, 23689, 267, 789, 1705, 711, 2463, 741, 8284, 812, 269, 13201, 1335, 4718, 713, 543, 4956, 602, 713, 729, 711, 519, 1259, 646, 4941, 1004, 547, 13789, 269, 4475, 646, 13264, 909, 741, 9322, 676, 4758, 1142, 4182, 513, 1114, 1893, 269, 634, 1004, 1100, 3476, 6956, 1142, 824, 543, 1100, 3476, 1223, 960, 1927, 269, 1548, 568, 519, 5048, 649, 1451, 689, 713, 1650, 286, 898, 568, 1271, 585, 721, 547, 2463, 543, 1416, 827, 1169, 1268, 602, 649, 2097, 883, 3346, 609, 269, 1284, 991, 547, 3314, 1018, 649, 4121, 538, 2142, 3306, 527, 602, 1142, 1268, 267, 7488, 540, 741, 15421, 610, 2591, 267, 568, 2813, 968, 321, 564, 2763, 12661, 4432, 758, 574, 892, 538, 13201, 1335, 779, 3239, 269, 3962, 1268, 19262, 547, 581, 5701, 2687, 547, 519, 5048, 540, 519, 22560, 267, 543, 538, 519, 1259, 540, 519, 5378, 345, 341, 582, 269, 8307, 1287, 666, 649, 8087, 3025, 779, 1893, 1586, 543, 723, 3025, 960, 1927, 267, 536, 685, 344, 778, 611, 563, 1103, 29807, 1002, 2274, 577, 2274, 15939, 649, 1451, 875, 2997, 12646, 630, 21406, 2997, 1090, 1869, 264, 568, 5143, 676, 13201, 1335, 547, 4734, 1010, 22657, 543, 979, 547, 661, 4958, 345, 2052, 22528, 630, 29994, 1040, 1261, 3217, 1010, 562, 19991, 543, 7385, 30960, 630 ]

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

[ 268, 4014, 2127, 3564, 3084, 16278, 616, 6552, 585, 1034, 1004, 789, 5352, 519, 2011, 596, 13236, 267, 519, 1426, 596, 3548, 543, 9793, 519, 2916, 269, 5020, 6818, 2429, 519, 5836, 267, 689, 519, 2627, 547, 519, 26026, 539, 269, 23496, 621, 2640, 3025, 2713, 2221, 267, 607, 1134, 607, 2104, 5481, 267, 786, 4096, 593, 713, 1985, 5123, 540, 7598, 519, 8978, 14097, 269, 0, 21545, 762, 9198, 2209, 281, 1323, 11137, 454, 21545, 762, 18402, 616, 1507, 267, 5985, 1379, 3761, 602, 2488, 3167, 1379, 547, 6552, 610, 1055, 3766, 5090, 4025, 269, 9198, 2209, 616, 2966, 547, 581, 17426, 543, 2653, 547, 4163, 267, 1818, 873, 4998, 585, 15143, 547, 519, 13122, 924, 610, 960, 4609, 267, 607, 1134, 607, 6595, 1379, 2115, 269, 5800, 762, 18402, 2097, 538, 513, 2039, 540, 19206, 543, 7306, 267, 543, 666, 581, 13324, 676, 17405, 267, 17088, 267, 610, 4412, 2033, 563, 19119, 540, 5800, 762, 9198, 2209, 454, 3519, 1597, 1466, 5800, 762, 18402, 616, 2966, 547, 581, 2653, 547, 1847, 543, 2322, 909, 269, 901, 2306, 873, 5078, 547, 581, 1031, 538, 513, 3099, 540, 4025, 267, 971, 607, 22742, 15143, 267, 2816, 4609, 267, 543, 6595, 1379, 2115, 269, 634, 15409, 2470, 540, 891, 18402, 2306, 621, 2241, 547, 1205, 519, 1379, 596, 2154, 267, 693, 519, 942, 543, 1747, 596, 2154, 621, 563, 309, 619, 12546, 281, 5800, 762, 18402, 2097, 538, 513, 3099, 540, 7306, 267, 8151, 689, 1507, 1769, 3631, 267, 799, 616, 3501, 585, 22742, 15143, 547, 3677, 3631, 602, 666, 1379, 707, 1753, 538, 606, 6595, 269, 2368, 3631, 1256, 2097, 609, 2789, 19093, 267, 865, 596, 666, 5279, 2789, 3457, 693, 519, 1482, 942, 563, 763, 10727, 540, 15409, 18402, 616, 3710, 547, 581, 6325, 543, 14463, 269, 3509, 3631, 2097, 609, 606, 12747, 6453, 7939, 607, 1134, 607, 1970, 268, 11798, 9505, 4752, 267, 799, 666, 948, 547, 2061, 519, 11718, 689, 1373, 8697, 543, 8831, 922, 14438, 563, 21798, 634, 1942, 540, 15409, 18402, 568, 3622, 14949, 982, 19335, 18402, 267, 799, 2306, 873, 606, 3015, 3903, 585, 1346, 538, 991, 540, 606, 6595, 1379, 2707, 610, 945, 991, 513, 2707, 540, 5201, 585, 9205, 2238, 563, 17653, 2209, 585, 6595, 1379, 9198, 2209, 602, 616, 15409, 666, 581, 513, 3730, 3926, 585, 18002, 602, 2154, 1379, 269, 769, 519, 2680, 540, 513, 1379, 856, 720, 519, 15409, 11718, 786, 3761, 5201, 547, 1832, 519, 8279, 1396, 267, 21067, 4881, 267, 543, 707, 1753, 3579, 610, 12699, 563, 1692, 5800, 762, 9198, 2209, 4518, 454, 21545, 762, 18402, 6460, 519, 1648, 540, 7344, 3157, 883, 5201, 269, 901, 568, 6913, 676, 606, 4835, 13674, 2599, 267, 602, 568, 13324, 676, 17405, 267, 17088, 610, 4412, 2033, 269, 634, 2599, 11479, 606, 3124, 1807, 267, 799, 12958, 20367, 1699, 630, 3722, 264, 5201, 269, 901, 5201, 568, 1287, 10736, 547, 1463, 1699, 630, 17584, 264, 5201, 998, 513, 6439, 8595, 543, 6740, 538, 519, 1106, 540, 513, 6007, 269, 634, 6007, 2488, 5201, 547, 519, 11718, 779, 5122, 19093, 267, 799, 2636, 596, 547, 2196, 707, 3457, 543, 14233, 563, 2252, 596, 1616, 547, 8415, 519, 15409, 11718, 621, 568, 2556, 547, 1921, 621, 547, 519, 3457, 610, 14233, 596, 8910, 899, 547, 1683, 1379, 547, 269, 5800, 762, 18402, 723, 3875, 19093, 267, 1519, 6671, 5122, 19093, 607, 1134, 607, 18292, 16788, 269, 2368, 3631, 1256, 723, 513, 3710, 2987, 4483, 6467, 267, 602, 13071, 596, 3362, 6467, 1063, 11718, 1379, 543, 7470, 1648, 538, 2013, 540, 606, 1379, 856, 720, 563, 32552, 19047, 585, 5800, 762, 9198, 2209, 454, 21545, 762, 18402, 616, 3710, 547, 581, 5150, 267, 2705, 621, 568, 2629, 547, 1246, 519, 10672, 779, 4808, 543, 7747, 1697, 3106, 15416, 269, 11408, 1224, 519, 8261, 540, 519, 8227, 1354, 1210, 15409, 18402, 543, 15666, 547, 519, 4808, 540, 519, 10672, 585, 5106, 543, 5826, 563, 2080, 616, 513, 1906, 2629, 3354, 9270, 547, 7703, 538, 2247, 950, 5665, 15409, 18402, 912, 32552, 538, 519, 946, 540, 4492, 281, 11408, 3442, 519, 1318, 17405, 585, 519, 11718, 596, 616, 1210, 267, 543, 4558, 519, 4492, 538, 513, 2922, 543, 5150, 4087, 269, 634, 10173, 267, 1519, 17405, 267, 616, 3810, 1166, 30100, 543, 1223, 2014, 3595, 950, 711, 17411, 7157, 563, 21080, 20764, 7976, 281, 9198, 2209, 602, 616, 15409, 5305, 3327, 24785, 799, 568, 513, 14686, 3154, 602, 1223, 2014, 4049, 7063, 610, 1256, 2669, 269, 5269, 2386, 596, 946, 513, 15409, 11718, 538, 513, 5887, 23624, 1858, 269, 8550, 946, 621, 3330, 707, 1753, 267, 25880, 267, 610, 824, 20583, 2127, 563, 20376, 12053, 540, 15379, 16811, 281, 11272, 18402, 1711, 3167, 1699, 602, 666, 581, 5739, 952, 711, 17411, 5265, 269, 7427, 519, 5528, 540, 519, 10672, 585, 8220, 543, 1210, 519, 11718, 269, 4746, 267, 1118, 2386, 547, 2666, 519, 11718, 1991, 547, 946, 563, 14611, 5199, 281, 8617, 5826, 568, 1271, 547, 2327, 519, 1279, 3856, 3106, 543, 10727, 540, 707, 15409, 11718, 269, 901, 3322, 5464, 519, 1377, 540, 3282, 267, 21757, 519, 6882, 543, 13868, 519, 8141, 11690, 2073, 952, 2838, 269, 898, 568, 1271, 547, 723, 707, 11718, 13761, 676, 513, 14468, 3318, 1169, 865, 1419, 547, 2327, 621, 779, 5665, 9108, 543, 5265, 563, 20175, 5004, 2422, 513, 15409, 11718, 609, 606, 954, 6674, 610, 4483, 6467, 543, 798, 711, 1921, 621, 2047, 547, 519, 5122, 1062, 269, 901, 666, 2061, 1394, 16567, 267, 799, 666, 581, 5906, 547, 10626, 4600, 543, 3441, 707, 5122, 1062, 563, 1103, 3932, 15409, 18402, 616, 8465, 543, 22237, 1379, 2707, 602, 2488, 1379, 538, 513, 3099, 540, 5468, 269, 6787, 596, 616, 1210, 621, 585, 22742, 610, 2816, 4609, 267, 610, 1256, 585, 18002, 621, 568, 2629, 547, 1246, 1697, 3106, 15416, 543, 547, 3442, 513, 11718, 602, 10742, 707, 1880, 1379, 4170, 269, 1635, 1210, 513, 11718, 602, 568, 15409, 596, 666, 1205, 519, 1379, 596, 2154, 20471, 543, 1022, 2897, 596, 2154, 621, 269, 0, 20075, 13069, 779, 2067, 2200, 1331, 7733, 267, 32394, 640, 267, 6886, 267, 6694, 2244, 267, 8933, 267, 12647, 267, 2842, 1648, 267, 3165, 543, 7320, 563, 17442, 9835, 324, 268, 272, 568, 513, 32394, 10451, 6728, 602, 3029, 851, 540, 519, 6276, 7345, 5741, 563, 7197, 540, 20563, 6013, 593, 519, 8225, 1744, 1752, 267, 1141, 972, 616, 1082, 3638, 7791, 2200, 1519, 7733, 267, 7320, 543, 3165, 269, 23117, 602, 2196, 1055, 519, 8225, 1744, 1752, 883, 519, 853, 269, 18039, 8899, 4133, 543, 6276, 7345, 616, 513, 1804, 2707, 540, 32394, 1379, 269, 20563, 779, 21394, 948, 1118, 909, 585, 922, 3668, 540, 8093, 4492, 2200, 630, 5408, 6276, 7345, 5741, 282, 31527, 268, 5226, 2946, 13069, 1916, 1103, 1840, 547, 741, 2956, 607, 7320, 7226, 267, 20563, 779, 1082, 15195, 12647, 543, 8933, 2709, 16351, 3255, 269, 634, 853, 269, 18039, 5211, 568, 513, 1883, 6283, 8905, 563, 14187, 7779, 6694, 11934, 616, 3908, 547, 519, 7013, 6712, 540, 519, 11662, 2282, 519, 853, 269, 18039, 543, 519, 31747, 5211, 269, 1809, 20563, 16034, 2034, 630, 12898, 3703, 12052, 264, 538, 519, 7607, 540, 922, 1804, 4104, 539, 1858, 563, 21132, 1271, 7777, 2200, 1331, 4401, 267, 4154, 543, 930, 3490, 8407, 563, 1103, 7187, 20563, 267, 2282, 6276, 7345, 267, 513, 1804, 595, 872, 2551, 5170, 547, 17215, 4096, 593, 3165, 543, 7320, 269, 634, 6276, 7345, 595, 872, 849, 4309, 2883, 7418, 689, 519, 6276, 7345, 10451, 6728, 13684, 593, 595, 872, 543, 27478, 2950, 538, 519, 476, 3192, 271, 338, 630, 5408, 6276, 7345, 5741, 1916, 20075, 13069, 779, 4390, 547, 5352, 1379, 689, 2842, 1648, 568, 2034, 1152, 547, 14411, 269, 769, 476, 1001, 279, 267, 20563, 1185, 476, 1789, 829, 1298, 540, 4516, 779, 4390, 585, 2842, 24378, 5201, 269, 0, 1432, 779, 606, 7379, 300, 15613, 888, 2005, 781, 1271, 585, 32005, 4648, 9706, 847, 819, 619, 547, 723, 606, 21091, 28814, 5004, 4640, 538, 1747, 547, 4308, 609, 556, 24593, 2590, 2591, 563, 763, 1852, 540, 1284, 2644, 267, 28814, 543, 15302, 538, 519, 5026, 32005, 543, 21443, 640, 2872, 568, 606, 5571, 4161, 585, 1034, 32005, 4648, 1315, 9439, 945, 2429, 519, 11706, 1032, 3068, 519, 19175, 540, 2348, 547, 4308, 609, 930, 4990, 540, 18290, 267, 11641, 543, 2068, 1966, 538, 741, 9036, 563, 11997, 267, 621, 568, 1271, 602, 519, 19995, 814, 538, 1747, 606, 21091, 28814, 5004, 630, 7709, 300, 264, 4640, 547, 4308, 609, 1022, 540, 891, 9648, 2042, 563, 1103, 519, 5177, 267, 972, 568, 513, 4214, 540, 7379, 300, 602, 519, 6554, 3096, 602, 2501, 689, 519, 6034, 633, 593, 519, 12655, 2422, 540, 623, 4382, 1938, 630, 24746, 7894, 1070, 799, 666, 581, 2938, 1934, 563, 1607, 6034, 633, 20964, 513, 5943, 547, 3035, 513, 4264, 946, 540, 13851, 676, 4227, 519, 4220, 543, 5222, 540, 23561, 946, 593, 1480, 1072, 543, 519, 1604, 543, 5009, 519, 946, 540, 7471, 11641, 2359, 543, 540, 4244, 4485, 610, 2553, 971, 607, 1875, 2275, 8707, 8925, 547, 13851, 563, 1607, 4214, 2306, 621, 2312, 602, 7379, 300, 6227, 782, 5739, 7103, 267, 1519, 18047, 267, 10860, 267, 543, 3676, 269, 898, 849, 2306, 621, 2312, 602, 7379, 300, 1058, 7854, 513, 2647, 2039, 540, 2238, 602, 9305, 547, 5883, 7693, 4027, 543, 2030, 1072, 689, 10047, 267, 3099, 3903, 267, 14713, 267, 11976, 267, 5464, 267, 7344, 267, 6211, 267, 543, 3114, 1852, 998, 547, 2594, 268, 15209, 799, 6645, 721, 602, 519, 6554, 1935, 547, 7379, 300, 568, 2647, 538, 9165, 563, 763, 2832, 540, 7598, 606, 7379, 300, 4640, 568, 547, 21028, 543, 6218, 519, 2547, 17672, 1259, 540, 9013, 519, 1966, 1510, 519, 7050, 946, 540, 13851, 563, 763, 1523, 540, 7379, 300, 267, 607, 7150, 676, 3220, 2051, 514, 631, 636, 5112, 267, 2037, 341, 340, 779, 14502, 8081, 15440, 568, 21246, 958, 972, 616, 1614, 3982, 2127, 540, 2359, 602, 32005, 9946, 543, 3039, 26283, 723, 693, 741, 1852, 563, 3383, 267, 519, 1101, 568, 519, 2686, 1852, 2409, 267, 4553, 676, 6211, 8060, 543, 1287, 3791, 569, 267, 3114, 1852, 543, 621, 781, 538, 602, 1931, 602, 789, 1058, 581, 5645, 856, 563, 29973, 569, 606, 7379, 300, 4640, 568, 912, 268, 13876, 2358, 519, 1966, 563, 268, 4197, 519, 1272, 4783, 543, 519, 2175, 891, 10860, 267, 18047, 543, 3676, 12797, 563, 268, 21744, 519, 1604, 563, 268, 22043, 2686, 2853, 563, 268, 22043, 6211, 2853, 563, 268, 19805, 519, 2953, 3114, 1587, 543, 7311, 693, 519, 1318, 942, 563, 268, 7033, 532, 540, 23833, 2238, 630, 23755, 543, 2686, 2409, 1916, 268, 16424, 543, 10916, 1239, 543, 5329, 513, 2594, 540, 3527, 267, 543, 4093, 786, 948, 2087, 707, 1702, 543, 2359, 540, 1022, 2104, 11641, 1644, 2042, 563, 763, 5383, 602, 621, 3947, 547, 32005, 9946, 568, 602, 789, 2811, 711, 8380, 782, 741, 5798, 538, 835, 11127, 607, 621, 941, 269, 1358, 2811, 10825, 519, 1981, 267, 5883, 519, 32005, 998, 1585, 1797, 602, 782, 9148, 1142, 824, 267, 6721, 513, 8902, 32005, 602, 779, 1732, 2111, 547, 16641, 6285, 689, 3676, 543, 10860, 563, 2005, 6770, 1082, 2640, 267, 711, 1152, 547, 519, 9744, 543, 1439, 3755, 267, 855, 5849, 513, 10930, 1604, 585, 782, 563, 22958, 3320, 1210, 4264, 2686, 630, 874, 9713, 1070, 6211, 543, 824, 1875, 2275, 8707, 2409, 1590, 581, 9053, 547, 3114, 2409, 952, 789, 1683, 25685, 11641, 1852, 269, 1879, 13851, 616, 2877, 267, 519, 1445, 568, 593, 8939, 3283, 602, 616, 3617, 543, 1034, 2500, 563, 1432, 1281, 621, 1611, 585, 32005, 888, 7709, 300, 814, 1044, 1472, 585, 513, 1279, 942, 267, 2523, 538, 519, 24972, 12734, 2872, 855, 267, 609, 2810, 2825, 4145, 543, 9431, 2242, 3056, 547, 513, 5786, 540, 2139, 13851, 267, 972, 779, 1044, 606, 2799, 1719, 538, 606, 7379, 300, 1935, 547, 5883, 32005, 563, 31010, 513, 2635, 521, 1189, 568, 513, 1883, 14487, 547, 4227, 519, 11841, 540, 1022, 2016, 32005, 18290, 267, 11641, 543, 2068, 1966, 1247, 693, 519, 1482, 942, 23248, 4227, 519, 16126, 593, 1210, 513, 3114, 1852, 1587, 563, 2467, 616, 1896, 2686, 2853, 602, 786, 948, 2226, 513, 2635, 521, 1189, 267, 891, 2097, 538, 519, 1106, 540, 2834, 5826, 2238, 602, 991, 547, 581, 2944, 2429, 519, 1032, 543, 3226, 1282, 519 ]

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

[ 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, 0, 17138, 281, 1215, 547, 2142, 606, 1323, 830, 10886, 540, 2659, 14893, 692, 7072, 912, 2304, 830, 814, 1831, 513, 2518, 7613, 609, 922, 2189, 9423, 267, 9159, 3197, 267, 543, 10875, 23877, 269, 1403, 596, 4312, 2479, 26927, 3139, 540, 4742, 606, 30682, 1915, 610, 6220, 2609, 689, 707, 5172, 30682, 2982, 883, 707, 1272, 267, 713, 3102, 3391, 786, 948, 1118, 602, 14810, 513, 4641, 269, 1635, 1739, 891, 3268, 267, 596, 666, 2981, 3054, 883, 519, 30682, 1915, 540, 707, 3903, 1247, 4509, 513, 2631, 540, 23141, 543, 5876, 269, 8528, 3721, 476, 272, 281, 7994, 2659, 1323, 830, 10886, 6184, 17508, 454, 20058, 267, 2824, 606, 30682, 1915, 945, 24889, 609, 596, 269, 6333, 741, 7209, 7592, 267, 5920, 267, 5759, 267, 543, 1394, 32143, 950, 1818, 707, 3375, 269, 901, 1915, 1058, 23679, 4865, 7907, 596, 23507, 610, 29954, 790, 547, 723, 269, 19805, 513, 1915, 5702, 13988, 609, 707, 2418, 543, 4690, 786, 1450, 585, 513, 811, 8076, 1995, 607, 596, 900, 3634, 873, 780, 7659, 9669, 912, 268, 8838, 585, 513, 1915, 4171, 5920, 568, 24276, 998, 688, 1009, 1803, 2242, 267, 7802, 5079, 267, 543, 17539, 2553, 2864, 982, 32601, 1560, 2010, 610, 28531, 2934, 563, 268, 29922, 513, 1134, 25454, 1915, 609, 9342, 543, 12755, 5849, 3666, 543, 8887, 1464, 780, 3721, 476, 273, 281, 5530, 2659, 932, 4923, 10886, 454, 10932, 707, 6074, 1915, 8499, 676, 8384, 14501, 10023, 873, 267, 2542, 30841, 11271, 267, 543, 3695, 10178, 1148, 269, 9796, 1880, 3007, 547, 741, 6073, 3359, 267, 4633, 3270, 267, 7215, 267, 543, 4205, 609, 824, 3197, 269, 25800, 3054, 609, 741, 4282, 1650, 543, 18144, 269, 4197, 891, 3344, 2636, 596, 547, 8308, 9446, 519, 1915, 781, 9759, 780, 21980, 3894, 912, 268, 6875, 4967, 593, 1808, 4162, 543, 5615, 17820, 676, 707, 6074, 1915, 563, 268, 13772, 610, 1224, 1543, 2789, 2053, 952, 2556, 547, 4628, 9787, 741, 1268, 320, 780, 3721, 476, 274, 281, 11154, 1849, 5847, 13910, 454, 24823, 622, 2609, 540, 707, 5697, 1915, 781, 20758, 549, 2041, 883, 707, 3232, 30933, 269, 901, 949, 1331, 9849, 2147, 4778, 267, 17234, 267, 610, 17960, 2404, 609, 519, 1915, 269, 1717, 267, 2057, 18187, 908, 24853, 12816, 1152, 1282, 2027, 14026, 1369, 519, 30682, 8259, 3617, 585, 1483, 3734, 2621, 269, 24367, 513, 3666, 1063, 8508, 519, 1915, 781, 2511, 543, 20170, 547, 6848, 8155, 568, 2629, 780, 7659, 18745, 912, 268, 13773, 13533, 540, 2686, 3604, 950, 8939, 7802, 3688, 6273, 676, 5545, 6752, 3466, 563, 268, 29114, 528, 856, 22327, 2687, 547, 2123, 4313, 543, 2916, 9270, 780, 3721, 476, 275, 281, 12794, 1009, 344, 1782, 9828, 454, 16987, 2939, 609, 688, 1009, 5138, 24188, 540, 707, 6074, 1915, 781, 688, 2273, 334, 855, 2327, 789, 616, 15164, 585, 707, 2067, 4552, 1826, 610, 530, 12127, 269, 22982, 18908, 1782, 2472, 267, 3002, 2645, 267, 24909, 267, 610, 2681, 5574, 838, 2130, 569, 547, 1711, 11029, 12381, 1510, 4929, 3441, 269, 8617, 5826, 543, 909, 18141, 786, 8190, 519, 30682, 30816, 1413, 780, 19522, 912, 268, 13693, 3318, 18935, 1235, 5432, 609, 30682, 16654, 688, 1844, 7491, 585, 5583, 563, 268, 2422, 10151, 3435, 971, 607, 17157, 6823, 533, 3415, 339, 5661, 610, 2212, 27512, 1354, 22867, 547, 27290, 2242, 780, 3721, 476, 276, 281, 5269, 1575, 13335, 454, 7343, 569, 30143, 547, 3986, 11132, 2934, 543, 17932, 519, 5920, 540, 707, 6074, 1915, 269, 10312, 593, 2127, 971, 607, 32071, 4900, 267, 22442, 10449, 267, 17534, 267, 543, 1025, 2313, 269, 3194, 2442, 30682, 17539, 2553, 2228, 543, 2259, 7311, 1585, 5654, 2394, 17117, 568, 6913, 269, 19573, 531, 17634, 6087, 3811, 7004, 780, 7659, 13832, 912, 268, 26875, 1125, 2960, 1072, 676, 1210, 1164, 7779, 17539, 2472, 543, 9427, 30143, 3781, 569, 563, 268, 3680, 25718, 27105, 610, 796, 11499, 17539, 6163, 1455, 538, 1978, 30682, 11964, 780, 3721, 476, 277, 281, 20429, 3525, 1637, 454, 19138, 707, 1915, 781, 5639, 3159, 267, 12334, 267, 4320, 267, 543, 20020, 547, 6451, 741, 13047, 16082, 883, 707, 1378, 6340, 4806, 269, 6657, 17187, 5188, 16965, 267, 2519, 593, 1102, 3005, 2798, 543, 3929, 10291, 1459, 538, 519, 3312, 2707, 1570, 269, 5457, 602, 2347, 32649, 1522, 581, 4101, 282, 3079, 267, 2832, 585, 6667, 6508, 689, 519, 1915, 781, 3982, 4633, 3270, 780, 30131, 11872, 912, 268, 4676, 1778, 689, 19249, 707, 5639, 23494, 610, 9846, 267, 607, 3257, 865, 1223, 8833, 13047, 27871, 543, 11874, 1764, 2792, 1983, 563, 268, 11644, 13657, 950, 1110, 6819, 9739, 538, 1857, 5468, 547, 2061, 10539, 610, 21390, 1851, 9905, 780, 3721, 476, 278, 281, 10610, 5678, 1299, 5403, 675, 454, 22860, 2763, 707, 1915, 781, 1560, 1893, 267, 17267, 267, 543, 14302, 547, 9772, 2147, 2168, 6208, 269, 5776, 7381, 899, 513, 1036, 531, 16502, 267, 3802, 18390, 609, 7682, 633, 26058, 267, 610, 2226, 11419, 995, 735, 3837, 28330, 547, 17715, 5869, 1149, 269, 4427, 1479, 11941, 3565, 3648, 547, 8756, 532, 519, 1648, 543, 4527, 540, 707, 6074, 30682, 4137, 780, 7659, 29362, 912, 268, 27297, 875, 4648, 20310, 569, 791, 3205, 622, 14070, 3197, 538, 2661, 12644, 610, 25780, 585, 4704, 563, 268, 15233, 4121, 2623, 7930, 543, 29596, 267, 9319, 7142, 5322, 610, 936, 716, 532, 780, 6962, 912, 3528, 5402, 1739, 891, 5722, 3268, 267, 596, 666, 6707, 18220, 519, 6891, 540, 707, 6074, 30682, 1915, 1247, 8497, 707, 22464, 543, 3961, 269, 22737, 519, 1184, 2898, 27329, 569, 2943, 3314, 547, 10880, 513, 3666, 1063, 535, 24655, 7071, 543, 1582, 22325, 269, 11086, 267, 14120, 1018, 2306, 721, 1480, 1247, 19825, 519, 5898, 540, 14318, 11942, 2208, 267, 4276, 267, 543, 7772, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 6826, 513, 1323, 830, 10886, 540, 2659, 14893, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 3848, 476, 1015, 281, 20154, 2372, 652, 910, 10289, 519, 3733, 560, 673, 11202, 540, 2672, 325, 1143, 692, 5970, 596, 2479, 9289, 1018, 621, 1797, 547, 723, 513, 2620, 4276, 609, 1945, 3152, 982, 3054, 286, 9320, 596, 4312, 5433, 6537, 547, 2307, 2462, 2055, 827, 1272, 267, 899, 945, 616, 649, 267, 1946, 616, 649, 1934, 267, 543, 875, 666, 649, 1831, 1732, 1004, 286, 1403, 865, 267, 1287, 596, 2811, 2907, 593, 707, 1360, 1378, 5289, 1391, 256, 10801, 1686, 267, 1082, 1004, 723, 24389, 593, 741, 1378, 2189, 15322, 2509, 4466, 4514, 2495, 543, 3483, 538, 1272, 269, 2290, 971, 1895, 2501, 689, 519, 4190, 13795, 540, 10764, 1472, 519, 1158, 1107, 10950, 547, 519, 4241, 7706, 540, 2672, 325, 1143, 2439, 3383, 267, 1175, 1018, 568, 2672, 325, 1143, 286, 4746, 1634, 607, 26800, 1177, 342, 18860, 267, 2672, 325, 1143, 568, 606, 6418, 267, 25386, 2460, 540, 5771, 269, 5994, 2348, 513, 5728, 4677, 3330, 707, 2295, 1141, 596, 1332, 17681, 5810, 540, 11587, 267, 8296, 267, 9639, 267, 543, 2648, 998, 8220, 609, 16589, 630, 18661, 1040, 2334, 779, 2186, 540, 1018, 8026, 2672, 325, 529, 798, 256, 1358, 1445, 593, 3384, 891, 8748, 7907, 543, 14637, 513, 2178, 6125, 609, 519, 23942, 998, 6411, 540, 2648, 267, 23502, 267, 543, 20174, 780, 3086, 267, 1577, 781, 1900, 1394, 538, 942, 1927, 543, 1451, 811, 827, 875, 2672, 325, 1143, 3459, 543, 7960, 2429, 1686, 269, 1306, 5771, 3262, 2066, 1585, 3338, 267, 1114, 2516, 4646, 1369, 519, 4984, 267, 1142, 10771, 1978, 3344, 789, 1336, 6209, 269, 15907, 519, 27630, 2540, 9460, 267, 930, 7332, 5640, 3323, 3695, 741, 5132, 3564, 21286, 3909, 2616, 1734, 899, 32467, 543, 17509, 269, 5502, 267, 789, 8359, 547, 13404, 593, 741, 4835, 2833, 543, 4606, 1247, 4509, 2463, 585, 2757, 9099, 4978, 543, 2853, 269, 3683, 942, 267, 891, 2038, 32339, 2919, 513, 3982, 5289, 2245, 1572, 2672, 325, 1143, 780, 9961, 519, 5553, 267, 9118, 15023, 267, 15806, 267, 543, 8723, 11570, 7567, 941, 6273, 676, 2672, 25206, 2219, 543, 2259, 269, 1411, 1522, 1256, 5431, 835, 4583, 2012, 2404, 609, 2672, 325, 1143, 1765, 305, 26619, 256, 1261, 729, 4535, 538, 15787, 855, 6170, 1034, 540, 1010, 1272, 538, 11894, 1282, 519, 3735, 5664, 12698, 269, 681, 26619, 2968, 1134, 8153, 585, 1010, 6965, 4904, 609, 2648, 543, 1279, 532, 585, 9769, 609, 519, 23942, 269, 4634, 2221, 267, 3592, 5216, 4627, 1296, 1310, 646, 5030, 267, 1004, 1869, 1224, 543, 23507, 1010, 1568, 1317, 789, 18991, 7001, 8471, 1480, 4664, 543, 1032, 11789, 780, 1103, 938, 1353, 540, 2672, 325, 1143, 267, 972, 616, 1614, 1898, 2035, 4502, 11362, 883, 2417, 1384, 272, 264, 11146, 630, 528, 10067, 629, 9346, 2567, 2311, 519, 4295, 540, 2672, 325, 1143, 6013, 519, 3661, 602, 16589, 568, 519, 10700, 2707, 540, 782, 2648, 269, 1635, 6679, 909, 938, 12271, 543, 8186, 267, 649, 666, 5963, 1745, 543, 2671, 10143, 2648, 609, 1866, 269, 6056, 827, 2576, 596, 7184, 1416, 827, 267, 899, 513, 1920, 4759, 610, 3659, 269, 1215, 1281, 1373, 2282, 873, 1118, 596, 1745, 286, 3767, 4952, 952, 602, 14246, 1223, 4228, 547, 7854, 3025, 543, 3388, 1472, 596, 269, 30474, 5863, 267, 26001, 286, 28552, 2672, 325, 529, 11441, 547, 11349, 713, 15962, 1648, 1169, 1554, 780, 273, 264, 8585, 1097, 630, 528, 31670, 332, 1695, 2567, 6271, 1271, 6240, 538, 2672, 325, 1143, 568, 6029, 23502, 543, 8296, 547, 6000, 543, 1866, 269, 1879, 5185, 609, 2591, 267, 3079, 540, 3478, 21616, 610, 13347, 267, 2119, 8380, 3054, 538, 2576, 3116, 781, 10887, 269, 4197, 5012, 547, 6568, 267, 799, 2337, 1628, 6793, 4296, 1063, 1004, 269, 9578, 267, 8156, 13951, 9900, 4422, 1688, 538, 1688, 609, 14178, 11587, 547, 1866, 269, 3807, 3314, 602, 18864, 568, 3501, 282, 649, 2811, 782, 1565, 543, 3395, 2059, 938, 1367, 10092, 780, 274, 264, 8061, 10056, 630, 528, 594, 21112, 1695, 2567, 14936, 267, 13991, 10847, 4249, 513, 1713, 1909, 538, 2672, 325, 1143, 269, 2755, 3232, 19001, 616, 2629, 267, 2672, 325, 529, 3494, 602, 1022, 2962, 5340, 609, 5609, 1356, 640, 543, 11009, 666, 1831, 606, 957, 540, 20174, 269, 6787, 2542, 2835, 267, 5986, 6980, 267, 4730, 5026, 267, 610, 2870, 1148, 267, 4376, 3587, 13411, 950, 2944, 2898, 27329, 569, 609, 6986, 15752, 269, 1924, 1985, 942, 596, 1265, 7772, 538, 3257, 1945, 596, 2648, 267, 1491, 513, 4090, 547, 5660, 519, 5898, 543, 25736, 538, 602, 2534, 780, 2026, 596, 3136, 11432, 1359, 707, 5289, 3460, 267, 2015, 4946, 2672, 325, 1143, 547, 707, 1592, 540, 31369, 2200, 269, 2060, 922, 8561, 593, 2648, 267, 23502, 267, 543, 20174, 267, 713, 7096, 4082, 540, 5132, 949, 2709, 3407, 4030, 607, 596, 6330, 707, 1259, 4724, 1582, 22523, 543, 2208, 269, 5808, 6487, 32503, 1522, 1256, 2328, 513, 6648, 14693, 11589, 707, 4555, 543, 4606, 827, 707, 9058, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 18860, 1143, 267, 849, 1634, 607, 26800, 1177, 342, 18860, 267, 568, 606, 6418, 267, 25386, 10155, 540, 5771, 602, 11394, 547, 6536, 513, 2123, 267, 1463, 1995, 540, 2696, 269, 901, 5289, 2619, 568, 1419, 4330, 607, 519, 2295, 540, 5771, 267, 2519, 593, 2648, 267, 23502, 267, 543, 20174, 269, 898, 814, 1044, 13736, 676, 6634, 540, 12356, 585, 5553, 267, 12018, 519, 9099, 1158, 609, 922, 3638, 10752, 543, 2853, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 9759, 540, 2672, 325, 1143, 267, 21048, 4979, 922, 1292, 3741, 543, 28975, 267, 3246, 606, 538, 3829, 1620, 540, 713, 5289, 2619, 543, 922, 4644, 1369, 519, 9099, 5132, 269, 15012, 721, 607, 649, 2263, 519, 9159, 1158 ]

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

[ 780, 8269, 3005, 4016, 547, 519, 1689, 538, 4287, 540, 513, 5951, 950, 621, 16716, 513, 10465, 1063, 1079, 1114, 2923, 269, 1879, 3280, 9356, 1055, 7252, 267, 621, 3029, 3982, 3270, 1572, 18759, 269, 13038, 18759, 9648, 1369, 20583, 5624, 1267, 538, 1950, 13779, 3270, 267, 3056, 547, 26871, 828, 725, 602, 5581, 2189, 17974, 22782, 540, 1346, 5624, 269, 1635, 22392, 14436, 3601, 540, 2326, 16298, 6821, 267, 2781, 559, 902, 267, 19683, 267, 543, 824, 4835, 3889, 267, 9858, 666, 1852, 2949, 5605, 4800, 543, 9355, 540, 3280, 12093, 780, 27028, 26975, 6257, 519, 7503, 540, 3280, 1648, 883, 3002, 2390, 11495, 24338, 1570, 269, 10049, 10110, 8795, 5232, 540, 3280, 1759, 593, 4908, 9832, 267, 24186, 267, 543, 2627, 11315, 1145, 269, 2552, 13764, 10338, 2337, 7413, 13311, 6846, 267, 2087, 4633, 4111, 2225, 267, 543, 3666, 26871, 828, 656, 7907, 540, 5624, 780, 9558, 3939, 4386, 950, 3280, 10596, 998, 513, 5420, 796, 16442, 1229, 1247, 4509, 922, 4909, 3601, 269, 1717, 267, 1978, 12451, 949, 22887, 10663, 811, 3533, 982, 1866, 1282, 6771, 267, 4470, 593, 519, 5420, 781, 5888, 269, 9182, 267, 8939, 3617, 4070, 2326, 3587, 1898, 538, 3156, 8506, 6417, 3280, 10072, 267, 971, 607, 10821, 5656, 267, 10506, 267, 543, 2575, 2259, 11623, 780, 11795, 3555, 25701, 547, 519, 19755, 540, 6329, 1472, 9465, 610, 519, 10825, 540, 6329, 1310, 8429, 998, 606, 6679, 269, 2311, 1970, 12451, 267, 3280, 15225, 8766, 18236, 3379, 547, 1164, 12451, 269, 9747, 267, 8888, 6099, 8301, 1949, 3340, 6297, 7156, 540, 1312, 10584, 1747, 906, 543, 5304, 27939, 12417, 780, 277, 269, 274, 10724, 4804, 17738, 543, 26426, 2091, 10241, 692, 13146, 8441, 538, 5841, 4987, 543, 3684, 1565, 2709, 3078, 7399, 585, 900, 6819, 3280, 18640, 538, 3059, 13502, 269, 12824, 693, 20037, 543, 22126, 23846, 3642, 6997, 2919, 513, 3684, 1565, 2203, 5827, 540, 17782, 875, 19700, 13498, 4992, 538, 3309, 6753, 1369, 1614, 8820, 5624, 269, 4635, 2147, 2409, 6964, 538, 3308, 476, 274, 291, 9781, 267, 891, 3631, 4020, 2143, 17974, 11269, 540, 5054, 780, 4322, 14262, 7835, 3180, 10373, 1761, 585, 2870, 10853, 5691, 4641, 2833, 267, 2442, 569, 17941, 519, 13849, 2091, 269, 2037, 29058, 4977, 6041, 540, 3280, 18640, 2429, 5691, 10600, 10597, 3593, 21599, 543, 6278, 269, 3958, 267, 971, 2029, 10741, 9885, 585, 6552, 5698, 538, 3318, 5468, 899, 7574, 12644, 267, 19014, 267, 610, 3872, 11925, 5342, 1369, 3838, 5691, 5624, 780, 4913, 267, 2591, 2611, 3823, 8308, 13830, 13857, 3344, 540, 3280, 8226, 6766, 676, 26575, 3350, 543, 2825, 2934, 269, 4329, 7634, 543, 17634, 616, 2838, 547, 2232, 891, 2152, 4628, 269, 11048, 267, 15834, 21769, 28043, 1035, 24065, 923, 267, 6323, 267, 2780, 2257, 267, 543, 4702, 3136, 11319, 6302, 4724, 16734, 5051, 10427, 5691, 5054, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 568, 811, 982, 476, 272, 1032, 2025, 454, 300, 22389, 1565, 1382, 538, 1035, 24065, 923, 1223, 1930, 909, 1617, 574, 27567, 13849, 2091, 454, 297, 1722, 1869, 856, 593, 2436, 1022, 2186, 540, 13849, 2091, 568, 14553, 2556, 454, 12867, 693, 20037, 543, 519, 22126, 23846, 3642, 6997, 723, 2813, 513, 3684, 1565, 2203, 547, 3589, 1018, 513, 26575, 1131, 5873, 538, 513, 3099, 540, 6753, 1369, 513, 476, 274, 291, 2230, 563, 763, 3173, 1101, 1031, 519, 16066, 2203, 547, 1174, 875, 1022, 3280, 538, 513, 4055, 786, 29608, 998, 519, 2230, 267, 2679, 909, 513, 4605, 540, 513, 476, 274, 291, 4055, 538, 519, 1482, 1259, 1004, 946, 3280, 547, 1174, 741, 1604, 563, 1103, 513, 1957, 1071, 22052, 23482, 676, 962, 559, 684, 13660, 267, 606, 20037, 5552, 2875, 538, 519, 4972, 540, 15379, 7177, 543, 8950, 3163, 630, 292, 4488, 306, 1070, 519, 3173, 1397, 875, 2553, 2147, 547, 3308, 476, 274, 291, 9781, 666, 581, 4294, 547, 1035, 24065, 923, 563, 3719, 789, 849, 17388, 609, 2609, 1141, 3280, 543, 1769, 11651, 613, 269, 1280, 1383, 267, 4657, 519, 4087, 540, 519, 26575, 538, 513, 4055, 666, 1711, 513, 1360, 1114, 12705, 540, 519, 3280, 1813, 547, 9465, 267, 519, 3337, 540, 519, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 895, 31666, 566, 257, 607, 851, 540, 834, 306, 11799, 1315, 3600, 24065, 923, 1299, 14675, 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, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 10764, 256, 5620, 596, 2479, 9289, 827, 1114, 4978, 543, 2853, 602, 1004, 1472, 519, 8608, 1246, 286, 2107, 6148, 596, 4312, 11432, 1229, 2390, 875, 891, 3661, 1949, 3357, 547, 581, 286, 1403, 865, 267, 1287, 713, 1576, 1770, 568, 3501, 585, 596, 256, 1284, 786, 2263, 1585, 10764, 267, 741, 12583, 267, 543, 1256, 5905, 2390, 930, 7242, 3098, 269, 1924, 10544, 707, 7279, 543, 1577, 781, 4685, 1318, 538, 2439, 4131, 781, 1376, 609, 1945, 2241, 2943, 10578, 1107, 519, 3017, 1063, 1395, 6139, 1143, 543, 4874, 1492, 1143, 269, 3933, 6139, 1143, 568, 18468, 538, 1152, 835, 5601, 267, 1247, 4874, 1492, 1143, 1797, 26902, 6235, 2789, 10971, 269, 1280, 1383, 267, 8567, 267, 5771, 267, 543, 17194, 616, 1395, 6139, 2065, 10764, 607, 789, 3494, 538, 1175, 835, 2696, 269, 2201, 519, 824, 1688, 267, 3504, 16380, 543, 14564, 941, 4874, 1492, 1235, 1317, 789, 7281, 539, 547, 1082, 24587, 899, 28736, 267, 623, 846, 573, 517, 267, 23723, 320, 267, 543, 811, 2439, 3086, 4952, 2348, 513, 10143, 2149, 528, 4481, 585, 707, 1753, 269, 4270, 267, 538, 930, 4529, 267, 972, 941, 8197, 2820, 514, 885, 6131, 9003, 547, 10820, 256, 1452, 834, 15965, 514, 885, 540, 519, 535, 1195, 518, 257, 14478, 936, 3885, 267, 8744, 873, 25736, 543, 4027, 269, 898, 781, 3592, 899, 2348, 513, 27369, 21425, 2713, 1318, 693, 707, 7450, 21163, 2439, 2026, 649, 1847, 4464, 267, 1577, 721, 2911, 827, 3909, 4720, 269, 9894, 596, 917, 602, 1082, 2413, 10764, 723, 5072, 2620, 1369, 3504, 3283, 286, 6875, 4906, 267, 631, 603, 6652, 267, 543, 1772, 529, 607, 8320, 269, 3962, 5129, 1713, 5107, 538, 741, 9757, 5132, 338, 267, 799, 2663, 6766, 1018, 649, 917, 2221, 607, 8567, 267, 2098, 19660, 770, 6929, 1143, 267, 543, 9147, 12266, 4984, 780, 2171, 849, 7237, 1585, 6698, 543, 2984, 950, 4974, 10764, 269, 2290, 971, 14745, 568, 1572, 513, 1412, 332, 2814, 1108, 3529, 540, 16350, 8339, 901, 3239, 2982, 4296, 1851, 10971, 267, 12325, 267, 543, 19416, 5515, 676, 18995, 8371, 14178, 689, 3844, 11937, 269, 6056, 540, 621, 607, 513, 1920, 3529, 267, 855, 3079, 540, 796, 3380, 543, 31225, 338, 267, 596, 1265, 10971, 543, 1629, 580, 16104, 2439, 11101, 267, 6138, 4249, 513, 2629, 1909, 538, 1620, 10764, 1932, 269, 1635, 6313, 7440, 543, 6436, 6069, 676, 15806, 267, 649, 666, 1732, 10146, 3309, 16752, 3823, 5289, 6927, 269, 5999, 971, 607, 834, 9989, 2696, 2291, 8119, 610, 834, 1432, 4523, 1310, 2669, 8119, 1831, 20501, 2899, 649, 5490, 883, 10952, 5717, 780, 15563, 267, 1810, 1405, 7340, 519, 1764, 6530, 814, 593, 4984, 256, 3776, 4555, 267, 4664, 267, 543, 5615, 616, 5702, 13615, 547, 938, 4978, 269, 4475, 267, 1565, 827, 5626, 3344, 2337, 721, 9787, 1946, 1978, 12738, 610, 2853, 3180, 7096, 2956, 585, 21071, 780, 3383, 1934, 7475, 938, 5618, 4663, 540, 13354, 10764, 269, 5457, 267, 2463, 543, 22371, 616, 1883, 950, 7234, 2576, 3116, 781, 5132, 269, 2991, 782, 267, 1169, 4984, 3091, 2189, 4030, 883, 1272, 781, 13655, 267, 5935, 2043, 543, 2950, 5001, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9824, 580, 542, 267, 2622, 9671, 687, 267, 22414, 15215, 910, 3807, 519, 5013, 593, 519, 1158, 781, 10764, 269, 5442, 293, 22593, 295, 2975, 281, 589, 670, 4007, 10934, 2986, 634, 2622, 781, 9671, 687, 269, 16241, 5525, 910, 589, 5426, 269, 6258, 9671, 687, 910, 6651, 547, 519, 27801, 338, 543, 9671, 687, 540, 519, 2622, 269, 595, 2464, 301, 7838, 910, 2578, 549, 801, 328, 521, 592, 548, 8356, 913, 4984, 328, 910, 4741, 585, 5525, 538, 1715, 9671, 687, 563, 26123, 9671, 687, 1656, 3733, 2195, 269, 13660, 1135, 2814, 2946, 1143, 324, 14193, 1395, 1054, 2946, 1143, 324, 1612, 1024, 327, 1993, 6872, 1147, 2637, 6053, 269, 13660, 1135, 2814, 2946, 1143, 324, 14193, 1395, 1054, 2946, 1143, 324, 808, 15530, 639, 631, 603, 571, 1772, 529, 563, 299, 525, 2820, 8181, 15530, 5918, 535, 1195, 518, 1612, 1024, 327, 1993, 6872, 1147, 2637, 6053, 269, 15776, 2820, 8181, 15530, 5918, 535, 1195, 518, 563, 21008, 894, 9671, 687, 269, 16241, 2598, 7611, 22414, 1353, 540, 10764, 269, 20154, 640, 269, 634, 1686, 540, 782, 10764, 6045, 538, 835, 4241, 8642, 269, 1215, 4984, 814, 7960, 269, 3502, 9985, 4977, 267, 855, 9090, 4277, 269, 19088, 1108, 2389, 872, 6361, 17393, 1417, 27970, 630, 297, 303, 9680, 12005, 267, 476, 14321, 274, 6398, 476, 3445, 280, 19641, 264, 910, 2480, 4705, 630, 7830, 8472, 589, 3391, 547, 5601, 269, 13898, 540, 15215, 563, 20329, 1108, 543, 15215, 269, 5259, 7506, 269, 16684, 19848, 1670, 13979, 547, 519, 5530, 540, 15215, 269, 15610, 540, 4039, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 989, 1026, 5350, 2872, 267, 5214, 543, 4264, 6683, 723, 1831, 5051, 1271, 1813, 547, 3395, 7082, 3747, 585, 8902, 1426, 3681, 543, 4145, 827, 2825, 6940, 269, 634, 7771, 540, 2757, 10683, 8105, 538, 519, 2136, 2276, 2488, 606, 4316, 547, 4983, 519, 2804, 4229, 693, 1404, 538, 713, 5823, 543, 875, 789, 1764, 6705, 267, 6800, 267, 543, 519, 1604, 269, 901, 1576, 1770, 786, 2263, 891, 2152, 676, 6313, 519, 2591, 5185, 676, 1507, 8397, 10683, 6705, 267, 519, 4473, 540, 4853, 12051, 3484, 546, 1515, 625, 267, 543, 1761, 3435, 585, 2870, 513, 811, 12581, 543, 4264, 1426, 1062, 780, 5575, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 5214, 543, 4264, 6683, 269, 17667, 6683, 4016, 547, 8105, 2853, 602, 2057, 10991, 18168, 267, 13851, 267, 16220, 9168, 7103, 267, 543, 11216, 610, 2208, 10399, 538, 13184, 269, 5502, 267, 5214, 6705, 7048, 593, 2067, 2409, 971, 607, 7693, 10047, 267, 24600, 267, 543, 6211, 11641, 1852, 269, 12655, 6683, 4422, 3564, 5214, 2853, 543, 13315, 513, 11455, 1935, 547, 5883, 2244, 543, 2200, 547, 2327, 1279, 3856, 8733, 3666, 543, 1514, 1134, 5630, 269, 898, 11363, 8497, 9265, 267, 4227, 3653, 267, 5009, 3662, 10304, 267, 543, 5885, 2199, 11615, 780, 763, 7771, 540, 2757, 10683, 8105, 538, 519, 2136, 2276, 666, 581, 11911, 547, 1896, 2188, 267, 1519, 14051, 267, 28051, 267, 543, 6639, 1689, 269, 1306, 4123, 7496, 723, 15468, 543, 6283, 3790, 723, 17379, 267, 1804, 8397, 4853, 10683, 4238, 723, 7153, 267, 1419, 4092, 538, 4525, 609, 2539, 4074, 543, 9431, 3790, 269, 1452, 803, 8615, 1673, 1515, 625, 666, 3132, 5144, 811, 10464, 569, 982, 4130, 8397, 4238, 1813, 547, 11615, 540, 4336, 267, 7463, 3937, 267, 543, 1569, 547, 3854, 269, 1717, 267, 741, 7269, 2501, 693, 513, 1942, 547, 6917, 2950, 267, 1920, 11396, 267, 543, 519, 1604, 780, 22102, 8397, 10683, 6705, 3068, 1713, 2591, 12721, 1996, 891, 7372, 4238, 269, 1358, 1419, 3668 ]

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

[ 513, 3575, 540, 556, 785, 17621, 5743, 1186, 689, 519, 27472, 2358, 5487, 680, 663, 10483, 676, 3638, 543, 8949, 4158, 10217, 269, 8347, 713, 8748, 28031, 5652, 6492, 563, 13731, 5733, 28688, 1234, 785, 17621, 454, 17359, 6765, 1344, 1934, 269, 20780, 707, 8285, 3529, 547, 1272, 609, 713, 3043, 10217, 556, 785, 17621, 267, 2893, 593, 513, 1167, 540, 32068, 5144, 10217, 267, 4988, 609, 2699, 543, 3039, 20057, 956, 269, 654, 571, 5529, 538, 1591, 2684, 2033, 543, 13615, 609, 513, 2699, 26781, 547, 1118, 513, 30018, 8285, 3529, 23732, 269, 15604, 9042, 10678, 4166, 1284, 4312, 3773, 707, 6221, 547, 519, 11127, 256, 6744, 719, 18172, 269, 1411, 949, 849, 899, 269, 1234, 785, 17621, 12182, 28688, 645, 558, 2041, 609, 15794, 332, 718, 3298, 269, 22320, 2659, 13574, 8285, 10326, 269, 13845, 7035, 664, 28688, 2667, 24142, 269, 12098, 534, 28688, 7732, 13340, 476, 275, 645, 1513, 269, 12594, 6176, 829, 575, 2433, 6052, 737, 329, 898, 5654, 899, 596, 949, 581, 1210, 513, 1357, 11422, 602, 649, 1810, 1405, 1489, 269, 7490, 946, 1776, 1357, 11422, 547, 1205, 519, 2407, 966, 20076, 1995, 269, 0, 313, 597, 935, 807, 18032, 616, 5189, 547, 519, 25185, 2344, 607, 519, 29260, 1570, 540, 3903, 269, 4256, 3043, 2681, 267, 1979, 24899, 6312, 2225, 267, 543, 1164, 7344, 3601, 723, 1500, 873, 1360, 2442, 269, 1452, 4496, 6954, 18032, 616, 5097, 9447, 676, 11455, 24782, 5001, 563, 1432, 1772, 4437, 24899, 6312, 1043, 19239, 3588, 888, 18693, 24899, 6312, 1043, 25185, 568, 513, 1106, 540, 25185, 602, 10039, 1808, 8790, 17467, 585, 2564, 1949, 585, 11455, 1646, 269, 898, 6212, 593, 519, 3095, 1063, 707, 5023, 543, 707, 1560, 267, 6236, 602, 1018, 4523, 538, 707, 5023, 5540, 707, 2898, 1560, 610, 4564, 930, 7700, 2188, 538, 707, 1560, 563, 18693, 24899, 6312, 1043, 5959, 2326, 616, 1875, 3562, 13877, 6878, 602, 1810, 1406, 28148, 1860, 513, 1268, 779, 7350, 950, 1031, 538, 741, 5023, 269, 4746, 267, 24782, 2119, 547, 2057, 12362, 5773, 267, 971, 607, 6391, 267, 950, 1447, 29554, 1797, 616, 12492, 762, 563, 18693, 24899, 6312, 1043, 24782, 948, 596, 2087, 707, 1072, 998, 5959, 9882, 3079, 540, 1175, 6236, 519, 5739, 2360, 540, 16789, 4522, 9882, 563, 5445, 3494, 602, 1978, 4170, 1058, 581, 1558, 547, 3035, 519, 5551, 1072, 540, 707, 5023, 543, 1560, 563, 29804, 2065, 24782, 4125, 519, 6138, 540, 1979, 24899, 6312, 1043, 25185, 538, 741, 2564, 5574, 543, 4019, 2067, 5773, 602, 798, 711, 2800, 519, 1560, 607, 513, 2898, 563, 18693, 24899, 6312, 1043, 25185, 21356, 519, 4551, 538, 707, 5023, 676, 4180, 602, 596, 1246, 1697, 5711, 9882, 563, 5591, 6757, 30836, 454, 4407, 1034, 2757, 24782, 946, 8988, 31498, 600, 30836, 5627, 16035, 267, 513, 6757, 6219, 547, 519, 1560, 267, 11455, 4485, 946, 18300, 13402, 30836, 607, 606, 4244, 269, 1452, 30836, 616, 23287, 676, 2470, 543, 786, 8936, 547, 707, 4522, 24672, 563, 5591, 936, 6165, 540, 21973, 454, 29804, 2065, 24782, 25339, 7311, 1932, 1454, 12071, 528, 728, 267, 607, 789, 2015, 621, 547, 581, 3743, 585, 707, 4522, 685, 7777, 1436, 563, 31880, 528, 728, 568, 513, 2067, 7777, 602, 7472, 19596, 585, 707, 4522, 267, 543, 621, 972, 568, 1932, 1454, 540, 621, 267, 5959, 14806, 2670, 949, 1020, 269, 15482, 14806, 2670, 4386, 1813, 547, 2242, 538, 519, 19596, 1317, 540, 4430, 21973, 267, 799, 568, 1946, 11455, 24782, 1832, 21973, 693, 513, 5934, 267, 543, 4383, 519, 21973, 6981, 563, 5591, 3597, 23668, 454, 305, 2393, 23668, 666, 1450, 4551, 547, 4283, 707, 18072, 267, 4929, 1279, 3856, 8801, 2360, 269, 2755, 1082, 24782, 949, 1685, 713, 5650, 267, 1979, 24899, 6312, 1043, 25185, 3217, 5413, 540, 10930, 267, 1875, 1606, 17790, 2409, 267, 971, 607, 1463, 17870, 1309, 6137, 610, 5102, 13607, 3912, 563, 25565, 2473, 7304, 904, 786, 2333, 519, 1981, 540, 4598, 547, 5982, 267, 799, 568, 519, 2601, 3297, 1896, 1072, 2152, 269, 1452, 2395, 267, 7064, 547, 4359, 2029, 267, 1979, 24899, 6312, 1043, 25185, 2640, 689, 3059, 2473, 17530, 602, 10460, 1100, 971, 4220, 563, 300, 13926, 6363, 872, 15482, 1955, 17852, 454, 3412, 17852, 616, 835, 540, 519, 1034, 6225, 8925, 585, 707, 7508, 4522, 269, 1358, 616, 849, 519, 1034, 2067, 1964, 528, 2510, 538, 519, 2344, 563, 5472, 15498, 20382, 941, 1500, 540, 21419, 1756, 1354, 17375, 18032, 941, 6035, 607, 513, 1454, 1732, 3070, 563, 307, 11939, 1756, 949, 30599, 1372, 543, 2014, 6553, 1472, 519, 15498, 267, 799, 5012, 547, 31971, 21553, 8690, 4345, 269, 901, 2783, 2636, 4551, 547, 28117, 519, 5711, 13570, 267, 21006, 519, 5642, 543, 2571, 8031, 1472, 519, 15498, 269, 9122, 593, 5359, 267, 1082, 2550, 29153, 827, 713, 3390, 563, 307, 11939, 1756, 666, 12954, 16991, 14524, 607, 1134, 269, 901, 5673, 593, 1896, 2188, 267, 971, 607, 707, 11976, 267, 1072, 5615, 267, 543, 824, 6197, 543, 2825, 2609, 563, 12234, 267, 596, 949, 581, 13027, 547, 21419, 1756, 607, 513, 4496, 563, 302, 1537, 27647, 1143, 568, 1776, 1966, 3361, 676, 4496, 18032, 2899, 4294, 2059, 609, 824, 8407, 267, 971, 607, 16035, 30836, 563, 300, 13926, 6954, 5959, 18032, 616, 30630, 607, 513, 10930, 4244, 547, 4496, 18032, 269, 1452, 2010, 540, 18032, 616, 1500, 689, 2098, 597, 935, 807, 267, 513, 4396, 17375, 1570, 602, 568, 2178, 267, 2943, 3810, 1979, 24899, 6312, 1043, 269, 1452, 18032, 723, 7153, 607, 606, 4781, 547, 519, 2025, 4496, 18032, 563, 15253, 1563, 547, 21419, 1756, 267, 789, 2087, 707, 10733, 543, 2949, 1072, 676, 20808, 1447, 15799, 543, 11810, 269, 1717, 267, 789, 616, 811, 14053, 950, 621, 2501, 547, 9882, 563, 307, 11939, 1756, 814, 1044, 1472, 3476, 543, 568, 8810, 547, 581, 513, 6325, 543, 3811, 5959, 15498, 4480, 269, 2311, 519, 1482, 942, 267, 2098, 597, 935, 807, 814, 7902, 607, 513, 6225, 15498, 1062, 609, 811, 1979, 24899, 6312, 2225, 982, 24489, 18032, 563, 763, 11588, 540, 2098, 597, 935, 807, 1955, 17852, 454, 6524, 2098, 597, 935, 1756, 667, 8610, 728, 729, 6964, 607, 606, 15498, 4244, 267, 930, 2757, 17375, 268, 14127, 2553, 941, 8246, 267, 855, 789, 1185, 930, 7687, 543, 28919, 269, 1452, 2409, 1223, 711, 581, 4294, 547, 2127, 609, 1950, 5546, 8506, 1164, 8856, 269, 1358, 941, 811, 942, 21791, 543, 14427, 563, 313, 597, 935, 1756, 667, 8610, 728, 568, 4922, 1031, 538, 14461, 3889, 1317, 621, 2306, 17375, 18032, 1360, 2178, 269, 2098, 597, 935, 807, 23907, 616, 9157, 543, 723, 1434, 8143, 8710, 4187, 563, 4407, 2098, 597, 935, 807, 5959, 18032, 3100, 9621, 267, 789, 723, 930, 11393, 3379, 547, 21419, 1756, 563, 293, 847, 675, 18650, 568, 835, 540, 519, 1034, 1713, 2188, 269, 9282, 2098, 597, 935, 807, 18032, 616, 2178, 267, 789, 616, 811, 2693, 547, 17795, 543, 11523, 3379, 547, 21419, 1756, 267, 609, 2539, 4827, 1116, 4222, 563, 2005, 779, 2352, 547, 2161, 585, 2386, 602, 2098, 597, 935, 807, 18032, 616, 1732, 982, 4496, 3283, 269, 1717, 267, 789, 5838, 2640, 602, 723, 1500, 873, 513, 811, 2442, 4781, 563, 268, 6480, 12060, 281, 2098, 597, 935, 807, 18032, 1413, 1360, 2067, 7064, 547, 741, 5694, 6438, 2681, 269, 1358, 798, 711, 4163, 519, 1981, 540, 32396, 610, 12457, 1145, 563, 268, 13722, 1981, 540, 14711, 281, 30665, 547, 21419, 1756, 607, 513, 4496, 568, 835, 540, 519, 3119, 4128, 585, 519, 8560, 540, 2098, 597, 935, 807, 18032, 563, 268, 13722, 15799, 13250, 281, 9741, 15799, 5250, 543, 5563, 1472, 1990, 597, 935, 807, 18032, 723, 1044, 4080, 267, 799, 568, 2808, 513, 1713, 5413, 563, 268, 3143, 6161, 827, 27647, 545, 2360, 281, 2098, 597, 935, 807, 568, 513, 4057, 8143, 18364, 267, 543, 972, 568, 1100, 991, 547, 5855, 827, 27647, 545, 3527, 799, 2049, 950, 1079, 6850, 17057, 1227, 4744, 25630, 8407, 616, 538, 3346, 563, 5194, 3390, 568, 602, 519, 1279, 3856, 1967, 540, 1990, 597, 935, 807, 18032, 814, 711, 1044, 8810, 3379, 547, 21419, 1756, 18032, 799, 723, 513, 811, 6905, 1686, 538, 25185, 563, 313, 597, 935, 807, 18032, 616, 711, 4052, 585, 15498, 23418, 9285, 7202, 999, 267, 6862, 616, 789, 4052, 950, 621, 2501, 547, 8156, 2550, 945, 991, 782, 741, 4522, 547, 581, 8719, 267, 8506, 513, 3099, 540, 5057, 3681, 563, 2252, 596, 616, 6236, 1904, 532, 585, 18032, 543, 596, 1745, 513, 2098, 597, 935, 807, 15498, 568, 519, 1259, 547, 979, 267, 596, 666, 1865, 707, 4145, 609, 721, 1354, 1818, 519, 3803, 3375, 563, 313, 597, 935, 807, 18032, 616, 2922, 543, 2500, 267, 543, 5838, 5140, 4093, 952, 4294, 7157, 269, 1717, 267, 789, 949, 711, 581, 519, 1655, 3903, 585, 16764, 563, 2791, 616, 5227, 547, 2671, 707, 2564, 1686, 543, 6788, 585, 519, 1655, 2126, 1544, 563, 2791, 666, 3972, 938, 11455, 24782, 267, 945, 786, 1416, 585, 707, 4522, 538, 513, 6899, 1604, 609, 4359, 2553, 563, 5445, 786, 2709, 519, 1034, 10257, 3435, 4470, 593, 707, 5711, 2783, 267, 782, 519, 1247, 2921, 883, 2272, 707, 2949, 1072, 267, 799, 568, 938, 10862, 269 ]

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

[ 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, 0, 8080, 547, 12130, 1886, 1446, 26585, 256, 5620, 596, 2479, 4862, 827, 1346, 6263, 7068, 1572, 28506, 2023, 286, 4270, 267, 789, 616, 5393, 1271, 538, 938, 1353, 2221, 1317, 25132, 1446, 2632, 5505, 946, 741, 15455, 547, 1174, 875, 3047, 781, 2916, 814, 4957, 936, 6634, 540, 1296, 269, 2334, 781, 1318, 910, 649, 666, 1451, 827, 1686, 998, 891, 7141, 344, 2389, 4176, 7103, 2439, 4131, 781, 1376, 609, 930, 9238, 269, 1773, 23975, 2882, 1312, 2371, 630, 874, 12682, 25762, 264, 543, 2831, 630, 15605, 25762, 1070, 799, 2661, 538, 1216, 543, 3112, 7669, 1996, 14768, 269, 3509, 2010, 540, 28506, 2023, 616, 865, 1507, 602, 596, 991, 513, 17209, 547, 1294, 873, 5693, 269, 1879, 20239, 25762, 5884, 267, 789, 4734, 3297, 16115, 1500, 540, 18287, 924, 610, 21958, 269, 3683, 942, 267, 21439, 1628, 909, 693, 519, 5377, 540, 12084, 543, 12647, 267, 8497, 6106, 540, 891, 3788, 269, 1452, 6106, 957, 899, 513, 15415, 267, 3850, 721, 547, 1413, 1394, 883, 3504, 5054, 2439, 3086, 1577, 803, 6338, 596, 547, 1280, 3133, 32070, 267, 849, 1634, 607, 834, 1721, 4461, 2437, 835, 540, 519, 1034, 1455, 2516, 540, 18186, 25762, 6594, 538, 25132, 1446, 26585, 269, 1358, 723, 4190, 669, 3711, 1229, 16115, 1500, 540, 7513, 19941, 269, 1635, 10203, 519, 1297, 540, 20830, 543, 4974, 741, 5546, 267, 3744, 666, 2697, 1114, 2249, 540, 585, 600, 15455, 1175, 899, 12779, 2632, 5505, 5431, 21300, 7633, 2439, 3383, 1946, 1281, 713, 2339, 286, 5994, 952, 649, 1223, 3589, 2104, 4365, 1759, 593, 3270, 689, 519, 2250, 269, 2755, 649, 5749, 1405, 3833, 972, 2943, 267, 1620, 875, 938, 4541, 781, 2916, 814, 17146, 1354, 2337, 721, 5965, 585, 2242, 8345, 1631, 269, 26187, 28895, 585, 4461, 2270, 10881, 827, 3140, 5836, 5210, 543, 7998, 269, 4595, 519, 12084, 10110, 1454, 540, 519, 4430, 3002, 16290, 676, 8511, 9362, 267, 6616, 811, 827, 8978, 4262, 2175, 949, 948, 721, 18783, 2518, 8337, 2360, 780, 2080, 781, 1141, 1919, 1205, 2731, 3579, 269, 5457, 950, 594, 5018, 519, 717, 736, 23860, 25929, 779, 12476, 661, 12509, 543, 30825, 1744, 14823, 630, 23813, 4916, 264, 1788, 4505, 286, 898, 1522, 3100, 20775, 267, 855, 2965, 267, 621, 2982, 875, 10562, 3388, 5963, 568, 269, 1411, 1294, 267, 3006, 2477, 10990, 593, 3652, 3823, 9204, 267, 2523, 585, 29505, 14078, 269, 901, 5540, 1082, 3344, 540, 2413, 2486, 267, 1519, 3621, 1382, 269, 13018, 267, 621, 5222, 7616, 2139, 585, 2090, 899, 23600, 5473, 25132, 1446, 26585, 269, 1924, 1256, 1498, 18688, 4916, 4667, 2484, 6569, 689, 15455, 267, 621, 18549, 7506, 1018, 649, 3605, 827, 938, 4541, 781, 2250, 543, 5732, 922, 2104, 1932, 2439, 1103, 5758, 267, 25132, 1446, 26585, 3096, 6263, 15455, 547, 2995, 2462, 2984, 827, 3047, 781, 1686, 269, 1284, 4121, 827, 28506, 2023, 267, 585, 4461, 267, 543, 875, 741, 1353, 8309, 547, 1620, 2250, 16374, 269, 9282, 9583, 11397, 267, 3486, 4507, 971, 607, 18688, 4916, 1869, 1404, 513, 1909, 538, 5935, 713, 2565, 1858, 540, 2257, 269, 3767, 3884, 1405, 602, 5863, 286, 3807, 1589, 827, 782, 519, 11580, 6456, 1369, 513, 10286, 540, 5070, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1001, 278, 1556, 269, 18733, 274, 18192, 272, 454, 15697, 281, 476, 1704, 5437, 476, 1001, 278, 630, 6734, 281, 2767, 281, 1691, 595, 4953, 994, 763, 4139, 3454, 12512, 630, 3951, 305, 264, 814, 1044, 9927, 1310, 519, 4279, 1234, 20896, 540, 476, 1220, 279, 1700, 1220, 280, 269, 634, 717, 736, 270, 16391, 1436, 585, 9483, 29046, 543, 4886, 630, 302, 25929, 264, 685, 338, 12476, 661, 12509, 543, 30825, 1744, 14823, 630, 23813, 4916, 264, 1788, 630, 1001, 274, 1700, 1001, 276, 264, 814, 21739, 4957, 519, 8668, 305, 267, 4758, 1007, 1272, 547, 519, 2582, 3454, 6240, 630, 514, 2492, 1058, 581, 3454, 539, 2899, 267, 1775, 4318, 1421, 1100, 5595, 21259, 543, 1100, 5595, 1875, 21259, 1040, 31472, 547, 18688, 4916, 814, 9867, 13497, 1063, 519, 9167, 543, 519, 2475, 267, 519, 1079, 4102, 6990, 538, 519, 1158, 269, 769, 519, 9167, 18688, 4916, 568, 3144, 1360, 12517, 267, 607, 3254, 585, 1383, 676, 519, 1007, 14640, 6874, 1314, 3680, 766, 6034, 1161, 602, 2936, 519, 2582, 3454, 6240, 269, 769, 519, 2475, 18688, 4916, 568, 3592, 15865, 282, 1247, 519, 2475, 2203, 3454, 14097, 814, 1044, 29567, 547, 6451, 621, 519, 2475, 814, 15189, 547, 1129, 519, 5564, 10561, 19639, 618, 547, 2936, 18688, 4916, 538, 922, 21308, 543, 519, 1152, 824, 18688, 4916, 2962, 602, 519, 2475, 814, 3144, 568, 2197, 676, 2197, 8989, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31466, 1886, 1446, 26585, 257, 607, 851, 540, 834, 306, 11799, 1315, 19232, 26585, 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, 0, 3848, 476, 1015, 281, 670, 809, 1695, 543, 20010, 30926, 15733, 24093, 692, 5970, 596, 2479, 4862, 540, 13622, 1695, 286, 9320, 596, 4312, 2938, 5961, 540, 1004, 7296, 7657, 1819, 10269, 856, 540, 1279, 12992, 693, 6105, 610, 19771, 269, 1411, 1522, 1589, 621, 5654, 3579, 610, 1187, 267, 855, 972, 616, 930, 3978, 1072, 4220, 3238, 609, 1210, 4244, 10269, 2472, 899, 13622, 1695, 602, 1082, 1004, 1810, 1405, 917, 827, 269, 2913, 781, 2263, 1018, 13622, 1695, 568, 543, 1946, 621, 781, 1271, 547, 3251, 2476, 689, 621, 780, 1432, 568, 670, 809, 1695, 888, 2411, 692, 288, 13622, 1695, 568, 513, 1826, 540, 1216, 10612, 1031, 585, 7296, 16887, 1500, 10269, 1572, 695, 22781, 269, 1744, 22781, 2501, 538, 1585, 6653, 2989, 10366, 267, 1818, 621, 13267, 547, 1007, 21596, 267, 2523, 3214, 543, 12322, 269, 589, 6093, 13622, 1695, 8400, 16569, 1472, 476, 2568, 3764, 543, 3322, 4687, 519, 5023, 12328, 1851, 2828, 267, 4946, 1776, 1377, 540, 1981, 780, 3963, 9701, 594, 2142, 19634, 2740, 6168, 670, 809, 1695, 888, 5785, 21387, 6624, 1004, 3494, 602, 2094, 13622, 1695, 8673, 10596, 998, 1216, 1354, 1373, 31067, 267, 621, 1590, 581, 10930, 982, 13189, 269, 1717, 267, 713, 7948, 1405, 581, 2417, 689, 519, 5168, 256, 5525, 1397, 602, 13622, 1695, 7296, 814, 1896, 2942, 2360, 593, 707, 1072, 267, 1519, 1384, 2162, 16842, 22452, 547, 1677, 343, 1231, 692, 9617, 1317, 519, 8673, 4422, 998, 1216, 3085, 1405, 1611, 621, 3587, 1022, 1447, 6757, 269, 4340, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 1282, 513, 2582, 13622, 1695, 8400, 267, 3755, 949, 11375, 1446, 909, 547, 476, 1220, 2053, 519, 4320, 540, 8673, 3379, 547, 513, 2582, 16906, 269, 901, 2799, 4598, 12662, 596, 693, 3152, 1981, 585, 3875, 3676, 3361, 676, 10269, 946, 780, 2162, 12832, 13534, 667, 11163, 692, 12024, 824, 3029, 540, 10269, 267, 695, 22781, 3568, 15522, 1107, 513, 3810, 22925, 3114, 269, 1879, 596, 1376, 7296, 13622, 1695, 5781, 267, 707, 1560, 786, 6159, 557, 811, 15522, 936, 942, 267, 3056, 547, 13829, 543, 1761, 15639, 2589, 952, 596, 2119, 547, 16718, 780, 2162, 11485, 540, 5395, 1190, 29520, 525, 692, 16524, 3856, 13622, 1695, 6165, 4679, 519, 10171, 540, 3384, 4049, 1072, 2152, 2147, 547, 1346, 5532, 609, 2757, 16906, 7296, 267, 971, 607, 2295, 2068, 267, 7929, 2042, 267, 5711, 2860, 267, 5761, 2860, 267, 7181, 2860, 267, 543, 1965, 23569, 2860, 780, 6701, 1703, 4033, 667, 836, 2730, 30926, 15733, 4934, 1703, 888, 24801, 14945, 8133, 267, 16310, 13622, 1695, 267, 972, 616, 7899, 540, 4244, 10269, 2472, 602, 10460, 1713, 6937, 547, 707, 8171, 269, 2368, 2442, 3283, 1331, 552, 24294, 10577, 630, 341, 12686, 3457, 264, 543, 2370, 524, 580, 1513, 630, 20791, 267, 6094, 524, 580, 1513, 1040, 1452, 3688, 1869, 2270, 5906, 2157, 540, 15522, 543, 824, 13818, 6464, 5103, 741, 3006, 632, 1061, 1947, 17608, 5920, 780, 1692, 2052, 594, 13363, 3733, 1345, 3245, 1452, 24093, 888, 14343, 13430, 763, 1655, 1259, 547, 2149, 3054, 689, 891, 12178, 568, 2241, 281, 5213, 1405, 946, 10269, 2472, 269, 13773, 5483, 827, 519, 4539, 540, 1210, 873, 543, 5000, 707, 9905, 547, 798, 519, 1482, 269, 1403, 2576, 3091, 596, 513, 4960, 547, 8673, 13622, 1695, 610, 1022, 824, 1106, 540, 10269, 267, 3314, 782, 519, 4128, 1946, 6031, 1100, 568, 1898, 269, 2659, 2104, 1582, 786, 9684, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27802, 766, 18816, 24251, 281, 11485, 11790, 267, 12580, 267, 543, 9615, 454, 27802, 766, 6057, 8213, 568, 1419, 2404, 609, 519, 946, 540, 28302, 5061, 899, 5869, 514, 267, 25933, 267, 543, 8715, 563, 3719, 6219, 6057, 568, 711, 1175, 827, 3075, 946, 269, 4634, 2472, 596, 666, 16155, 6718, 267, 971, 607, 13310, 21447, 267, 4568, 267, 543, 10269, 267, 666, 581, 26884, 563, 10144, 7231, 609, 6219, 6057, 991, 7525, 3318, 2126, 269, 16700, 2224, 540, 3656, 610, 17049, 6878, 666, 20427, 7369, 835, 779, 2634, 6464, 269, 898, 5012, 547, 8213, 267, 799, 666, 25010, 835, 779, 4876, 543, 2123, 3347, 267, 711, 547, 2446, 519, 2564, 4220, 2404, 609, 621, 563, 5649, 593, 547, 1451, 811, 827, 6219, 6057, 8213, 267, 922, 7700, 2188, 267, 2589, 267, 543, 2126, 3681, 563, 27802, 766, 6057, 8213, 568, 606, 13016, 2165, 602, 10905, 1079, 1114, 2175, 1644, 547, 519, 21568, 540, 3656, 610, 28302, 6878, 1765, 2108, 27802, 766, 18816, 892, 543, 968, 11754, 2109, 3034, 27802, 766, 6057, 568, 519, 5739, 267, 11234, 267, 610, 7050, 946, 540, 28400, 5562, 6878, 899, 5061, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 809, 1695, 543, 20010, 30926, 15733, 24093, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 28548, 18816, 1299, 5410, 11881, 1315, 30926, 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, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 13558, 2319, 1572, 519, 26551, 6519, 322, 2355, 945, 5030, 538, 4190, 3703, 12052, 267, 4516, 269, 1358, 6068, 4730, 13558, 543, 1818, 741, 11655, 17869, 609, 10761, 256, 1809, 835, 1554, 267, 789, 1185, 547, 1491, 513, 2370, 2736, 689, 4730, 1317, 930, 824, 1271, 13558, 3756, 941, 8345, 538, 1776, 2197, 780, 2691, 789, 3357, 1394, 1753, 1310, 741, 16314, 267, 621, 729, 942, 585, 873, 547, 1404, 1586, 269, 4256, 17837, 713, 942, 941, 519, 1715, 4789, 7169, 269, 3807, 899, 938, 6519, 322, 2355, 267, 519, 7169, 849, 5129, 13558, 855, 14612, 782, 519, 1259, 689, 1715, 4789, 547, 3643, 543, 1404, 1996, 873, 780, 4002, 519, 1554, 540, 519, 6474, 267, 1312, 6887, 9411, 519, 2462, 30806, 1572, 7460, 9255, 538, 4395, 540, 1082, 9599, 1004, 945, 4941, 547, 1294, 513, 1390, 13558, 3014, 269, 3962, 2319, 6836, 2182, 547, 6060, 3853, 676, 737, 10107, 519, 3440, 883, 519, 18545, 781, 2121, 269, 1656, 7058, 1018, 286, 634, 4860, 30055, 20639, 519, 1101, 3804, 256, 15526, 2968, 9602, 267, 11842, 952, 519, 6519, 322, 2355, 1131, 581, 2111, 547, 6952, 909, 780, 5475, 513, 1247, 267 ]

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

[ 10714, 639, 281, 519, 3002, 568, 593, 2433, 1620, 519, 1198, 540, 2916, 1689, 543, 2404, 2825, 4756, 2242, 593, 519, 9960, 7350, 543, 2551, 6384, 540, 519, 4871, 524, 768, 528, 656, 538, 519, 654, 269, 595, 1421, 590, 269, 589, 269, 19080, 269, 2160, 540, 15729, 16011, 2073, 293, 659, 8372, 540, 3163, 2073, 23430, 540, 18143, 7070, 269, 5291, 2517, 24863, 331, 269, 8518, 548, 14492, 270, 14625, 2767, 270, 15836, 6812, 0, 15933, 338, 585, 10699, 30213, 1772, 641, 16104, 281, 589, 6651, 547, 18227, 2659, 1772, 641, 16104, 13245, 543, 8414, 454, 3080, 540, 519, 3119, 1426, 2959, 585, 7750, 30213, 568, 641, 16104, 568, 9178, 532, 2030, 2339, 563, 4322, 568, 641, 16104, 616, 1033, 761, 643, 2803, 267, 2495, 789, 3049, 593, 10920, 19397, 5214, 1570, 563, 293, 718, 523, 3762, 267, 4232, 1154, 3574, 267, 543, 9178, 532, 5613, 543, 5388, 616, 782, 5140, 5079, 547, 1331, 538, 741, 2732, 563, 4322, 1426, 2959, 711, 1152, 1683, 1898, 5567, 855, 849, 17932, 741, 2067, 7226, 267, 607, 789, 1131, 3335, 25094, 3188, 585, 1426, 538, 519, 4104, 6989, 563, 1103, 1840, 547, 2030, 2339, 267, 7750, 30213, 568, 641, 16104, 666, 849, 4324, 689, 3940, 11656, 3536, 563, 1607, 666, 1331, 1507, 5666, 540, 3165, 1426, 267, 20544, 26005, 267, 610, 1256, 16760, 7786, 563, 3682, 12888, 568, 2629, 585, 741, 2208, 543, 12093, 267, 2523, 585, 9960, 10125, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 3940, 1058, 581, 6035, 838, 2130, 569, 267, 607, 606, 7050, 2179, 666, 1291, 547, 20817, 538, 741, 2732, 563, 2414, 2327, 513, 1134, 25454, 2732, 267, 621, 568, 5227, 547, 7110, 741, 6980, 609, 7513, 11656, 3536, 563, 9773, 6458, 568, 1898, 585, 519, 1646, 540, 741, 608, 18929, 13987, 543, 2949, 1072, 563, 290, 6350, 1117, 5798, 17850, 338, 267, 2759, 1479, 14752, 267, 610, 7463, 7513, 9360, 2966, 585, 568, 641, 16104, 666, 581, 3177, 607, 513, 2707, 540, 713, 4105, 7777, 563, 3528, 5356, 513, 3099, 540, 7513, 2959, 267, 596, 666, 2327, 602, 707, 7750, 30213, 568, 641, 16104, 723, 1569, 547, 519, 2556, 5567, 585, 1697, 2208, 543, 12387, 1154, 563, 13010, 267, 621, 568, 6225, 547, 6338, 17573, 13000, 547, 741, 2732, 563, 4322, 13000, 666, 1331, 12015, 3762, 267, 5810, 267, 610, 1256, 1507, 5666, 540, 5613, 971, 607, 15708, 610, 5283, 976, 563, 4322, 13000, 711, 1152, 1683, 3606, 5567, 855, 849, 1039, 23918, 547, 741, 1604, 267, 8716, 2067, 5615, 543, 5329, 873, 15508, 25623, 563, 2005, 568, 1271, 547, 4063, 602, 1247, 7750, 30213, 568, 641, 16104, 616, 3622, 1970, 31720, 5199, 7068, 267, 741, 8192, 2115, 949, 4268, 4470, 593, 519, 2249, 543, 1367, 4170, 563, 11997, 267, 621, 568, 2629, 547, 1382, 519, 1808, 8192, 7375, 540, 519, 568, 641, 617, 2249, 596, 616, 5329, 547, 2327, 741, 6099, 1072, 543, 1134, 5630, 563, 8139, 519, 26678, 20126, 540, 10699, 30213, 1772, 641, 16104, 454, 1103, 519, 3552, 267, 7750, 30213, 568, 641, 16104, 616, 1033, 761, 643, 2803, 267, 2495, 789, 5097, 3049, 593, 9178, 532, 5214, 2339, 971, 607, 6978, 16445, 267, 4666, 2371, 267, 543, 3574, 563, 2414, 21613, 741, 2067, 2732, 267, 621, 568, 5227, 547, 2709, 513, 4999, 540, 2030, 2861, 543, 3940, 11656, 3536, 563, 8867, 2378, 344, 16719, 899, 25989, 267, 22156, 267, 543, 546, 28888, 542, 16719, 616, 5140, 2959, 540, 8324, 543, 6886, 585, 891, 568, 641, 16104, 563, 4322, 666, 581, 3177, 538, 1507, 9424, 267, 4180, 789, 616, 4195, 543, 1863, 689, 1022, 13851, 610, 6464, 563, 12234, 267, 5356, 513, 3099, 540, 5613, 543, 5388, 666, 1683, 1898, 5567, 543, 20697, 585, 7750, 30213, 568, 641, 16104, 563, 293, 21209, 899, 13212, 267, 20397, 267, 543, 15708, 666, 581, 6035, 607, 17573, 13000, 267, 1247, 5388, 971, 607, 17436, 267, 1990, 1075, 577, 7236, 267, 543, 31480, 666, 581, 3177, 5781, 563, 4322, 3536, 711, 1152, 1683, 2556, 5567, 855, 849, 1039, 4763, 547, 741, 2732, 267, 5009, 2949, 1072, 543, 1134, 5630, 563, 3682, 12888, 568, 1776, 2629, 5057, 540, 513, 7750, 30213, 568, 641, 617, 781, 2732, 563, 1103, 519, 3552, 267, 789, 3489, 3940, 689, 10920, 19397, 3662, 2339, 563, 2414, 21613, 713, 538, 24811, 267, 621, 568, 5227, 547, 2709, 3940, 11656, 3536, 971, 607, 3165, 1166, 1389, 267, 20544, 26005, 267, 610, 1256, 1507, 5666, 540, 11273, 5779, 610, 3165, 563, 4322, 3940, 2959, 1058, 581, 3177, 838, 2130, 569, 267, 607, 7050, 3940, 6981, 666, 1291, 547, 1072, 2152, 563, 1103, 1840, 547, 741, 3119, 2732, 267, 7750, 30213, 568, 641, 16104, 666, 4324, 689, 519, 17573, 21455, 540, 7513, 543, 824, 6886, 563, 9773, 6458, 568, 1898, 585, 741, 608, 18929, 13987, 1646, 543, 12093, 563, 17809, 4575, 513, 7513, 2707, 267, 971, 607, 2759, 1479, 14752, 610, 7513, 8869, 267, 666, 948, 2327, 741, 9422, 2115, 616, 1558, 563, 2005, 568, 1271, 547, 4063, 602, 519, 8192, 2115, 540, 7750, 30213, 568, 641, 16104, 949, 4268, 4470, 593, 519, 2249, 543, 1367, 4170, 563, 25332, 6326, 741, 8023, 6208, 543, 14577, 741, 2732, 9935, 568, 2629, 585, 741, 2949, 1134, 5630, 563, 19894, 569, 5464, 741, 1072, 543, 2623, 666, 948, 2697, 1022, 19518, 610, 20817, 538, 741, 2732, 563, 295, 274, 281, 23516, 700, 7867, 281, 589, 853, 18393, 5253, 11905, 585, 10699, 30213, 1772, 641, 16104, 454, 8867, 2378, 16445, 568, 7768, 540, 15468, 3762, 267, 1000, 12127, 267, 543, 824, 2030, 11935, 602, 18645, 593, 519, 4104, 6989, 563, 2026, 621, 10920, 5099, 267, 621, 13847, 1585, 5214, 7135, 267, 971, 607, 27794, 267, 31429, 514, 267, 543, 646, 6193, 749, 21695, 267, 799, 4196, 607, 513, 3638, 1426, 2707, 585, 568, 641, 16104, 563, 4322, 7135, 616, 3335, 2352, 585, 824, 7103, 547, 7558, 267, 855, 568, 641, 16104, 4865, 7463, 9667, 11476, 602, 1450, 873, 547, 2736, 1524, 543, 1349, 5567, 689, 519, 6978, 16445, 563, 3080, 540, 519, 1883, 2640, 540, 6978, 16445, 607, 513, 1426, 2707, 585, 10699, 30213, 568, 641, 16104, 568, 922, 1164, 7509, 1543, 563, 3674, 641, 16104, 2154, 513, 5848, 1604, 547, 8853, 267, 543, 6978, 16445, 2337, 2226, 519, 2556, 11195, 2157, 563, 763, 10920, 19397, 3762, 11677, 7509, 267, 2870, 513, 2890, 4725, 18945, 602, 568, 4998, 585, 568, 641, 16104, 563, 1607, 7509, 711, 1152, 11226, 538, 741, 12536, 855, 849, 11151, 964, 27364, 566, 267, 4180, 741, 6668, 538, 5671, 518, 2175, 563, 11101, 267, 6978, 16445, 2488, 513, 3309, 5044, 540, 14471, 602, 4196, 607, 513, 24045, 1426, 2707, 585, 568, 641, 16104, 563, 293, 2426, 328, 267, 4551, 267, 543, 824, 14471, 3935, 1125, 519, 9178, 532, 3762, 267, 8108, 513, 1950, 1357, 540, 4205, 563, 3674, 641, 16104, 3049, 593, 891, 14471, 267, 799, 711, 1152, 1683, 3606, 5567, 855, 849, 3565, 547, 741, 8937, 22435, 563, 763, 8937, 22435, 4249, 513, 2629, 1909, 538, 519, 568, 641, 16104, 262, 12536, 543, 2949, 1072, 267, 29000, 538, 519, 15059, 540, 1950, 7135, 543, 7393, 741, 4761, 1062, 563, 2690, 1383, 267, 1978, 2249, 540, 568, 641, 16104, 267, 971, 607, 10699, 30213, 9597, 2088, 267, 723, 1044, 4767, 547, 28729, 3049, 593, 1808, 2010, 540, 13271, 1336, 538, 6978, 16445, 563, 4322, 13271, 2270, 7135, 602, 616, 6225, 585, 519, 568, 641, 16104, 262, 2208, 543, 12093, 563, 3528, 10438, 891, 13271, 267, 519, 568, 641, 16104, 2744, 1569, 547, 1898, 5567, 543, 6915, 5562, 7135, 602, 9797, 3310, 741, 17550, 563, 295, 274, 281, 29759, 543, 29641, 281, 589, 715, 8130, 1190, 18827, 547, 519, 10791, 454, 3080, 1383, 540, 513, 4829, 602, 568, 641, 16104, 3226, 2972, 568, 20397, 563, 289, 534, 11446, 616, 711, 1152, 3638, 538, 11379, 855, 849, 2270, 8324, 971, 607, 6171, 595, 543, 6171, 645, 277, 269, 1452, 8324, 1404, 513, 2629, 1909, 538, 4509, 519, 568, 641, 16104, 262, 4761, 1062, 543, 5009, 2635, 2208, 563, 12234, 267, 519, 1164, 6775, 1543, 538, 20397, 11226, 538, 12536, 267, 7303, 1022, 1761, 9667, 2152, 602, 949, 8451, 563, 5194, 4829, 602, 568, 641, 16104, 1265, 22023, 626, 1043, 568, 13212, 563, 7343, 956, 616, 14095, 609, 14434, 267, 799, 948, 8396, 19842, 2566, 543, 3895, 15325, 538, 568, 641, 16104, 563, 763, 2960, 540, 13212, 568, 2523, 6225, 607, 621, 3568, 513, 1713, 2179, 540, 8192, 6775, 267, 29000, 538, 4509, 513, 2635, 9667, 1062, 563, 3674, 641, 16104, 786, 23362, 8532, 1312, 519, 17145, 543, 2960, 540, 13212, 267, 4180, 789, 4309, 519, 5021, 9422, 2640, 563, 300, 8221, 593, 547, 5388, 267, 21364, 16719, 971, 607, 22156, 543, 25989, 616, 5140, 5079, 585, 568, 641, 16104, 563, 4322, 16719, 616, 3638, 538, 8324, 589, 267, 595, 267, 543, 918, 267, 607, 1134, 607, 6886, 899, 7513, 543, 4401, 563, 24791, 589, 568, 1898, 585, 4509, 2635, 5075, 543, 5009, 1697, 2208, 267, 1247, 6171, 595, 25242, 519, 4761, 1062, 563, 9773, 6458, 543, 4401, 3565, 547, 519, 1646, 540, 2178, 608, 18929, 30416, 543, 2061, 17350, 267, 6606, 563, 13010, 267, 17436, 616, 513, 5172, 1851, 568, 641, 16104, 1813, 547, 741, 29511, 344, 9403, 543, 6653, 6492, 563, 10111, 12783, 616, 606, 5140, 2707, 540, 12498, 21307, 582, 2940, 267, 799, 568, 10736, 883, 6171, 589, 538, 519, 568, 641, 16104, 262, 4703, 563, 1607, 6171, 568, 2629, 585, 4509, 2635, 2960, 543, 5009, 10285, 1072, 563, 295, 274, 281, 19871, 7304, 747, 16639, 281, 31514, 12618, 543, 3115, 3174, 454, 3080, 5140, 2707, 540, 3940, 585, 568, 641, 16104, 568, 3165, 1426, 26005, 563, 4322, 26005, 616, 4481, 19775, 547, 1683, 513, 7059, 2732, 585, 16983, 3165, 267, 5627, 1164, 2157, 540, 3940, 689, 2959, 899, 3165, 7594, 543, 20544, 7594, 563, 2691, 6035, 547, 568, 641, 16104, 267, 3165, 1426, 26005, 666, 581, 3362, 10057, 543, 1683, 513, 13671, 2707, 540, 1898, 11254, 7408, 563, 12234, 267, 891, 26005, 1419, 2270, 824, 6225, 5567, 971, 607, 8324, 543, 6886, 267, 2417, 7393, 519, 2949, 9422, 1871, 585, 568, 641, 16104, 563, 5194, 3940, 11656, 1426, 4781, 585, 568, 641, 16104, 568, 12015, 7786, 563, 6624, 4620, 8637, 2709, 513, 3099, 540, 12015, 7786, 267, 971, 607, 7594, 19095, 267, 524, 4459, 1115, 267, 543, 3109, 17199, 8038, 16793, 563, 4322, 7786, 616, 6923, 1164, 538, 3940, 543, 666, 581, 513, 1390, 1840, 547, 519, 568, 641, 617, 2732, 563, 291, 3072, 7786, 666, 581, 16760, 610, 7745, 883, 4130, 4773, 547, 1118, 873, 811, 19242, 585, 519, 568, 641, 16104, 547, 8532, 563, 8253, 1152, 798, 891, 7786, 1683, 513, 3940, 5818, 267, 855, 789, 849, 2709, 513, 811, 2067, 1426, 2707, 267, 13147, 10107, 1018, 568, 641, 16104, 1131, 7237, 538, 741, 2067, 9249, 563, 1103, 1840, 547, 20749, 2139, 3681, 267, 972, 616, 849, 19471, 3940, 11656, 3536, 602, 666, 581, 5423, 585, 568, 641, 16104, 563, 3080, 1383, 568, 513, 7848, 540, 2666, 5346, 3165, 1166, 1389, 267, 3303, 592, 2088, 8869, 267, 543, 32314, 5798, 17850, 338, 563, 1607, 19471, 11100, 2488, 513, 4999, 540, 3940, 267, 8324, 267, 543, 6886, 602, 666, 7494, 4324, 519, 568, 641, 16104, 262, 2949, 1072, 543, 10285, 7207, 563, 2005, 568, 1271, 547, 2327, 602, 1022, 19471, 1426, 21339, 616, 1863, 689, 5739, 21187, 610, 29089, 2510, 602, 1223, 581, 17672, 547, 519, 568, 641, 16104, 262, 1134, 5630, 563, 295, 273, 281, 30839, 9828, 543, 9669, 585, 10699, 30213, 1772, 641, 16104, 454, 1103, 741, 2067, 7226, 267, 10699, 30213, 568, 641, 16104, 616, 1033, 761, 643, 2803, 267, 2495, 789, 5097, 3049, 593, 9178, 532, 5214, 2339, 971, 607, 6978, 16445, 267, 4232, 1154, 3574, 267, 543, 4666, 2030, 1570, 563, 1607, 2732, 2488, 873, 609, 1898, 5567, 543, 2337, 2736, 1524, 5214, 3653, 538, 741, 1604, 563, 11997, 267, 621, 568, 2629, 547, 2709, 513, 3099, 540, 1426, 2959, 602, 17932, 741, 2067, 2732, 563, 3080, 540, 519, 1655, 1426, 3681, 585, 10699, 30213, 568, 641, 16104, 568, 513, 7848, 540, 9178, 532, 3762, 563, 4322, 666, 1331, 18073, 267, 25308, 267, 581, 3663, 267, 543, 3172, 16288, 3762, 267, 1851, 1866, 563, 4322, 3762, 711, 1152, 1683, 513, 2707, 540, 6484, 855, 849, 4196, 607, 513, 14041, 585, 519, 568, 641, 16104, 547, 3276, 992, 543, 12404, 538, 563, 2005, 568, 1271, 547, 2445 ]

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

[ 2539, 3635, 14556, 885, 269, 10815, 8515, 5012, 547, 2539, 2157, 540, 519, 5551, 17003, 519, 1880, 3635, 28901, 630, 328, 4318, 1421, 4887, 2208, 538, 519, 2013, 540, 29998, 15577, 264, 543, 1981, 540, 5945, 563, 299, 871, 540, 6051, 538, 1063, 5036, 454, 4467, 921, 1154, 2147, 15904, 7886, 1360, 2673, 547, 1142, 824, 610, 711, 2921, 2614, 9397, 1063, 1022, 1826, 540, 3635, 5012, 547, 2539, 2157, 540, 519, 5551, 9542, 2094, 891, 616, 6913, 1282, 519, 16889, 5123, 538, 1532, 15277, 15904, 7886, 269, 19768, 540, 6051, 568, 849, 2693, 547, 1267, 538, 7063, 563, 299, 871, 540, 11636, 20358, 543, 1974, 1436, 454, 763, 2333, 538, 3635, 4320, 936, 942, 568, 519, 5551, 1198, 540, 1169, 15904, 1982, 2094, 621, 568, 519, 13654, 1129, 540, 12214, 6454, 269, 1280, 1383, 267, 1373, 2111, 547, 1847, 811, 4320, 12353, 538, 513, 1808, 4887, 1895, 568, 6697, 547, 4887, 2208, 267, 610, 4881, 811, 942, 538, 7997, 476, 273, 1369, 519, 3018, 779, 12732, 568, 6697, 547, 3152, 16608, 543, 24197, 5860, 269, 17957, 267, 519, 17418, 547, 2333, 4320, 538, 1022, 1826, 540, 2866, 568, 6697, 547, 29415, 532, 269, 634, 9000, 540, 11007, 267, 22293, 540, 713, 6240, 267, 610, 3274, 3668, 540, 9477, 616, 519, 1034, 1455, 4128, 30497, 543, 13591, 27466, 525, 616, 13533, 540, 741, 15904, 12531, 543, 3976, 3111, 547, 1445, 593, 2810, 4320, 563, 7021, 569, 7920, 3490, 2866, 454, 4002, 519, 824, 1688, 267, 3356, 532, 4320, 1932, 3728, 666, 581, 607, 8449, 16609, 267, 952, 711, 811, 269, 21826, 543, 5667, 20980, 11636, 20358, 3762, 1100, 4055, 585, 707, 1062, 547, 3082, 543, 12115, 267, 3976, 4929, 596, 547, 5734, 519, 18109, 3728, 269, 5047, 267, 5945, 568, 3592, 513, 2693, 9183, 269, 15788, 267, 513, 1134, 19550, 11636, 20358, 8430, 568, 519, 1034, 13654, 6240, 602, 1022, 2866, 1544, 1058, 9784, 563, 10376, 2866, 7997, 786, 29360, 513, 1808, 12214, 3210, 267, 607, 3254, 538, 519, 7515, 1657, 269, 4475, 267, 8159, 519, 10851, 1141, 596, 991, 547, 6108, 519, 1034, 942, 1282, 707, 16608, 543, 8884, 2866, 7886, 786, 4096, 593, 519, 12214, 7687, 596, 991, 547, 7753, 269, 3502, 6616, 707, 2866, 10851, 666, 1291, 547, 7836, 942, 538, 519, 4636, 2866, 7997, 543, 3976, 711, 3478, 519, 12214, 14624, 596, 991, 267, 610, 538, 930, 2665, 267, 791, 5338, 11144, 538, 824, 2127, 269, 1323, 1383, 540, 513, 1455, 1966, 4611, 689, 25619, 1990, 11238, 568, 7836, 942, 538, 513, 4636, 569, 7229, 7997, 476, 273, 267, 799, 949, 581, 7997, 476, 274, 269, 1975, 2056, 7050, 942, 538, 7997, 476, 274, 666, 1291, 547, 936, 10177, 1456, 543, 5786, 538, 19697, 2157, 267, 543, 3976, 8423, 704, 1761, 4887, 12374, 596, 616, 13197, 1247, 849, 12419, 3648, 1447, 2333, 538, 3170, 1532, 9506, 4398, 269, 2201, 519, 824, 1688, 267, 513, 4636, 569, 4857, 7997, 476, 275, 666, 1291, 1082, 547, 2932, 5230, 16608, 2866, 7886, 630, 11666, 6681, 2866, 538, 7997, 476, 275, 264, 693, 513, 2539, 8515, 982, 1018, 789, 1058, 543, 3976, 29360, 3648, 2539, 966, 302, 273, 10946, 2333, 563, 32086, 568, 835, 540, 519, 1614, 13654, 682, 951, 540, 1072, 543, 2773, 269, 16700, 7666, 3660, 2866, 786, 23366, 1291, 547, 513, 29415, 543, 5821, 547, 3035, 1022, 1072, 543, 2773, 3804, 269, 4197, 519, 12214, 7687, 602, 616, 7303, 596, 689, 1140, 8724, 707, 3804, 543, 8159, 519, 2838, 4908, 267, 4320, 267, 543, 8515, 540, 4187, 267, 8884, 267, 543, 16608, 2866, 568, 519, 1152, 1184, 602, 666, 2327, 1967, 543, 17846, 540, 5945, 1981, 269, 22165, 327, 2079, 2488, 519, 1034, 23963, 3964, 1505, 585, 8159, 519, 4909, 7687, 602, 949, 581, 7303, 596, 689, 8236, 707, 8516, 3804, 543, 7446, 519, 6099, 3635, 1982, 602, 779, 28110, 547, 2232, 873, 269, 0, 1692, 547, 5590, 5455, 513, 25725, 26653, 281, 589, 10670, 1676, 779, 6651, 454, 2252, 596, 2461, 1007, 547, 16015, 543, 4058, 547, 1205, 835, 4166, 267, 1287, 596, 1058, 581, 2111, 547, 1683, 621, 609, 513, 5078, 7226, 602, 13147, 923, 922, 2067, 7226, 538, 519, 3552, 269, 1703, 616, 1978, 1919, 547, 1832, 538, 2247, 950, 4259, 909, 707, 14854, 7382, 547, 1118, 621, 513, 2635, 543, 6899, 2713, 2230, 585, 707, 4620, 563, 1103, 713, 19444, 7888, 3391, 267, 649, 3580, 3802, 596, 998, 782, 519, 9238, 540, 4259, 909, 707, 14854, 7382, 267, 1519, 782, 519, 1898, 3937, 596, 991, 267, 543, 875, 547, 1711, 606, 6099, 1666, 6362, 543, 10977, 2127, 269, 1284, 3580, 2709, 3606, 9623, 593, 1585, 26828, 543, 1232, 832, 547, 2015, 585, 707, 7382, 563, 1692, 547, 1305, 909, 707, 14854, 7382, 630, 21163, 8386, 9912, 3391, 994, 1103, 713, 3296, 267, 596, 3580, 3605, 782, 519, 30304, 596, 991, 543, 1900, 676, 1900, 3391, 547, 2870, 513, 7226, 585, 707, 4620, 14854, 563, 1432, 596, 3580, 991, 912, 268, 30785, 7382, 2450, 454, 268, 645, 27965, 3760, 454, 268, 11158, 1769, 454, 268, 14333, 17689, 454, 268, 674, 2830, 1674, 1062, 454, 268, 4826, 22865, 454, 268, 4427, 1598, 622, 630, 28436, 994, 268, 667, 2946, 14585, 17960, 630, 28436, 994, 3721, 476, 272, 269, 7994, 519, 1318, 7382, 2450, 454, 763, 1101, 3364, 596, 3580, 991, 547, 798, 950, 4259, 909, 707, 14854, 779, 7382, 568, 547, 1205, 513, 7382, 602, 779, 838, 20160, 2614, 585, 707, 4620, 14854, 547, 7669, 543, 1847, 1472, 563, 288, 1455, 23988, 585, 7446, 519, 1318, 7382, 2450, 568, 547, 1205, 476, 1015, 17529, 585, 1169, 10759, 540, 707, 14854, 7387, 3259, 269, 901, 568, 547, 2161, 952, 707, 14854, 568, 476, 277, 6279, 1279, 267, 596, 1058, 1205, 513, 476, 2568, 3766, 718, 517, 7382, 563, 23744, 267, 952, 596, 2461, 18516, 1018, 2450, 540, 14854, 7382, 547, 1205, 585, 707, 14854, 267, 2015, 2469, 609, 519, 7887, 4781, 2139, 269, 8262, 3455, 568, 2141, 1732, 2336, 3721, 476, 273, 269, 15147, 519, 5377, 609, 14041, 454, 8138, 1598, 622, 3884, 1406, 2556, 585, 707, 14854, 7382, 1305, 909, 267, 865, 596, 666, 18178, 713, 851, 543, 979, 609, 513, 11953, 5377, 269, 634, 2601, 4810, 14854, 5411, 18973, 1996, 1210, 14041, 568, 602, 621, 666, 1118, 707, 7382, 2182, 547, 2973, 563, 2005, 11148, 547, 15972, 11353, 540, 1426, 799, 666, 1287, 31693, 936, 942, 543, 1711, 14432, 2713, 2175, 585, 707, 4620, 14854, 563, 2791, 949, 1152, 2015, 1210, 14041, 952, 596, 1544, 547, 1039, 2661, 2371, 547, 707, 14854, 7382, 563, 2080, 616, 930, 1455, 14041, 3681, 547, 2015, 585, 707, 14854, 7382, 912, 268, 9995, 281, 9995, 568, 513, 2442, 3903, 540, 14041, 267, 2523, 2016, 602, 930, 14854, 2249, 899, 20857, 269, 1717, 267, 621, 666, 1118, 707, 7382, 7738, 513, 2182, 4305, 563, 268, 3212, 6277, 956, 281, 1403, 596, 723, 12748, 2371, 538, 707, 16983, 267, 2015, 21973, 890, 6277, 956, 585, 14041, 269, 1284, 4363, 3677, 890, 6277, 956, 547, 7413, 519, 8458, 540, 707, 14854, 24948, 873, 563, 268, 3400, 767, 281, 634, 18574, 2356, 2501, 538, 1114, 5546, 267, 3029, 267, 543, 4778, 267, 543, 666, 948, 1118, 707, 14854, 16983, 1413, 2973, 543, 3750, 13267, 269, 1717, 267, 922, 1507, 2450, 1797, 707, 14854, 949, 3824, 652, 621, 543, 2014, 1764, 542, 563, 3721, 476, 274, 269, 5590, 909, 519, 1666, 6362, 1858, 454, 288, 1666, 6362, 3760, 568, 513, 2629, 851, 540, 707, 1007, 14854, 779, 7226, 269, 898, 779, 1141, 707, 14854, 4991, 547, 1964, 950, 621, 3085, 1406, 1616, 547, 7669, 269, 3371, 267, 621, 1743, 625, 922, 1560, 1055, 543, 865, 6545, 538, 519, 11158, 12345, 602, 616, 1271, 585, 922, 1072, 563, 4415, 713, 538, 2247, 267, 596, 1616, 547, 2097, 909, 609, 513, 6899, 1666, 6362, 1858, 602, 779, 838, 20160, 2614, 585, 707, 14854, 547, 2490, 1472, 543, 814, 1100, 8325, 8728, 602, 949, 3614, 675, 707, 14854, 563, 2005, 1058, 849, 581, 11207, 3819, 267, 2495, 621, 1058, 581, 17479, 1055, 519, 7297, 563, 13014, 2386, 519, 1666, 6362, 5544, 568, 3362, 3015, 676, 707, 14854, 269, 1403, 991, 581, 267, 3888, 513, 19856, 585, 2653, 1569, 563, 10112, 11167, 596, 2461, 4259, 909, 707, 14854, 7382, 16280, 267, 596, 1058, 849, 16491, 519, 1666, 6362, 5544, 609, 513, 11158, 1769, 269, 901, 786, 1683, 707, 16015, 609, 519, 11158, 12345, 2556, 585, 1697, 7513, 10338, 585, 2635, 7387, 543, 5642, 2208, 563, 12234, 267, 596, 3580, 991, 547, 1039, 513, 3002, 17689, 547, 519, 1666, 6362, 1858, 269, 901, 13147, 923, 519, 3141, 3002, 519, 14854, 4991, 689, 519, 7943, 538, 3552, 563, 763, 3002, 786, 948, 1832, 707, 14854, 3636, 950, 856, 540, 519, 1216, 607, 1134, 607, 948, 621, 3819, 1055, 922, 2960, 563, 3721, 476, 275, 269, 8073, 519, 10977, 1858, 454, 5629, 596, 723, 519, 1666, 6362, 1858, 1305, 909, 267, 519, 6967, 1858, 5713, 607, 519, 10977, 2230, 269, 901, 568, 1141, 707, 14854, 786, 581, 7836, 1034, 540, 922, 942, 267, 865, 621, 1058, 581, 838, 20160, 2614, 585, 621, 547, 2972, 3108, 540, 10977, 563, 288, 19288, 1062, 1058, 849, 979, 547, 519, 10977, 1858, 547, 948, 1832, 519, 1216, 2973, 269, 1703, 616, 1896, 6882, 3681, 547, 2015, 267, 855, 1034, 14854, 4966, 4363, 2469, 609, 513, 666, 3563, 6882, 563, 1607, 2203, 568, 3810, 3608, 543, 666, 6023, 1164, 32728, 13369, 19003, 269, 1284, 18973, 7446, 513, 6882, 15951, 476, 273, 610, 476, 274, 343, 2362, 4390, 982, 707, 14854, 779, 4890, 4390, 269, 589, 1016, 11302, 1043, 6882, 568, 849, 2442, 855, 1568, 1655, 585, 1507, 14854, 13688, 563, 2791, 3580, 849, 991, 547, 3888, 513, 1216, 22865, 547, 948, 2226, 519, 1216, 2837, 693, 519, 5227, 2039, 540, 1472, 476, 4281, 547, 476, 3199, 5232, 18278, 585, 1034, 12748, 2249, 563, 1607, 568, 1271, 2016, 602, 16015, 616, 4411, 15918, 797, 539, 2831, 543, 7048, 593, 741, 2825, 2837, 547, 10038, 741, 1560, 2837, 563, 13014, 2386, 596, 723, 513, 8720, 936, 519, 1016, 11302, 1043, 22865, 547, 1832, 707, 14854, 689, 536, 18804, 936, 621, 543, 3478, 14616, 563, 3721, 476, 276, 269, 634, 23732, 851, 454, 29002, 23732, 3688, 547, 707, 7382, 666, 948, 1118, 621, 811, 3750, 268, 921, 2084, 1247, 1818, 621, 513, 811, 4277, 1604, 585, 707, 4620, 14854, 563, 4913, 267, 23598, 5749, 1406, 8209, 1271, 607, 789, 1810, 1406, 1860, 519, 6668, 540, 707, 4620, 538, 1022, 1259, 563, 2414, 30164, 707, 14854, 7382, 267, 596, 666, 946, 5347, 7725, 267, 20743, 267, 543, 23572, 547, 957, 607, 15720, 9634, 585, 707, 14854, 269, 3807, 1810, 1406, 936, 4777, 621, 547, 2057, 2921, 909, 1454, 540, 519, 14854, 779, 10977, 543, 1666, 6362, 5624, 563, 16605, 891, 4388, 538, 2247, 950, 4946, 26955, 14585, 17960, 547, 707, 4620, 14854, 7382, 912, 268, 3680, 1022, 26955, 14585, 3688, 602, 723, 8325, 8728, 607, 789, 666, 3362, 3614, 675, 707, 14854, 454, 268, 3680, 1210, 1932, 1507, 3688, 602, 707, 14854, 949, 3362, 15179, 543, 2014, 3978, 12536, 2152, 971, 607, 1764, 542, 799, 666, 1291, 547, 4049, 19228, 563, 268, 7102, 26955, 14585, 3688, 5833, 689, 519, 3552, 1058, 581, 1101, 10322, 28895, 1354, 8380, 873, 883, 519, 14854, 7382, 269, 901, 786, 2327, 789, 1810, 1406, 4483, 1022, 3676, 543, 15495, 547, 707, 14854, 779, 7226, 563, 268, 8307, 946, 12748, 2371, 602, 616, 2922, 543, 1875, 3562, 13877, 585, 707, 14854, 607, 789, 3580, 9090, 2119, 547, 3548, 873, 563, 3721, 476, 277, 269, 19130, 519, 7382, 609, 1216, 454, 4263, 713, 1448, 267, 3388, 568, 1305, 909, 543, 782, 602, 779, 6967, 568, 547, 6445, 707, 1007, 14854, 779, 7226, 609, 1216, 269, 3550, 596, 3142, 519, 1216, 547, 513, 1377, 602, 779, 6190, 585, 707, 14854, 547, 20354, 7669, 538, 563, 2026, 519, 4341, 540, 14853, 4422, 267, 596, 1058, 6445, 519, 7382, 609, 1216, 547, 513, 3178, 540, 909, 547, 476, 382, 378, 519, 3259, 540, 707, 4620, 14854, 269, 901, 568, 513, 2922, 3178, 585, 707, 14854, 547, 3362, 16212, 3294, 952, 621, 18417, 7140, 26700, 1524, 1247, 3330, 519, 1216, 563, 2791, 3580, 849, 991, 547, 2327, 596, 946, 30341, 610, 632, 7302, 3271, 3990, 1216, 602, 779, 2922, 585, 707, 15195, 14854, 563, 2171, 1336, 713, 5363, 3381, 6029, 1900, 8386, 9912, 875, 547, 7157, 1305, 909 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3184, 782, 827, 519, 2634, 543, 875, 621, 5540, 519, 1259, 649, 1451, 256, 5620, 596, 2479, 9289, 1946, 930, 1004, 3100, 547, 4584, 909, 1007, 1983, 3533, 1247, 1866, 6560, 286, 2107, 6148, 596, 4312, 8068, 602, 1978, 4247, 2097, 3362, 547, 596, 267, 855, 1866, 1745, 899, 513, 1483, 4161, 269, 2334, 781, 1141, 519, 2361, 540, 5778, 17595, 1108, 2501, 538, 780, 32507, 17595, 5505, 1353, 875, 519, 2634, 1568, 543, 875, 1114, 2694, 540, 519, 2634, 1860, 2623, 267, 4664, 267, 543, 1565, 269, 2311, 519, 4741, 585, 11671, 17595, 1108, 267, 4804, 543, 4886, 630, 290, 301, 17162, 1070, 789, 946, 1945, 1572, 513, 834, 560, 31104, 2861, 2203, 257, 950, 2324, 609, 1004, 945, 616, 2348, 8373, 538, 1153, 610, 609, 824, 2238, 269, 901, 1797, 602, 3079, 540, 1175, 2519, 593, 1018, 2576, 9060, 2352, 267, 789, 849, 1413, 693, 1018, 602, 1268, 1281, 1134, 269, 1635, 1620, 543, 2679, 593, 1346, 9342, 267, 789, 666, 948, 2232, 1022, 2591, 602, 1522, 8451, 780, 4131, 803, 2285, 596, 606, 1383, 269, 5994, 596, 2811, 2731, 1434, 693, 5373, 1107, 596, 2648, 2870, 5961, 543, 4947, 909, 609, 3579, 6272, 269, 1809, 3006, 2542, 543, 2979, 666, 581, 9157, 585, 596, 269, 5502, 540, 1152, 3168, 693, 519, 1249, 602, 2542, 543, 2979, 616, 2182, 267, 513, 5778, 17595, 6048, 1131, 1616, 547, 917, 811, 827, 707, 7499, 15421, 1932, 256, 9320, 972, 781, 513, 1259, 547, 946, 707, 5876, 547, 2087, 707, 2542, 8223, 610, 1256, 2490, 6310, 2035, 883, 3308, 2592, 780, 763, 2319, 693, 31368, 17162, 2337, 1082, 3214, 945, 3068, 1585, 7965, 971, 607, 1565, 9124, 630, 3697, 27577, 1070, 3007, 2152, 630, 3697, 11838, 1070, 10295, 8552, 4524, 630, 32359, 1070, 543, 824, 2175, 269, 1358, 3494, 602, 676, 3478, 547, 917, 1142, 1367, 543, 23115, 856, 741, 2189, 4999, 540, 9342, 543, 12755, 267, 789, 666, 1683, 10531, 1489, 543, 2994, 780, 3086, 594, 914, 596, 2811, 11842, 875, 4010, 891, 4648, 4137, 856, 1018, 2306, 721, 8743, 269, 4270, 267, 835, 1907, 789, 946, 568, 1945, 1572, 513, 5778, 17595, 1670, 4879, 269, 4438, 713, 1184, 267, 789, 7747, 1919, 899, 3965, 267, 1966, 6061, 267, 1893, 267, 3007, 267, 8901, 7744, 267, 543, 1514, 15041, 10899, 8647, 269, 3414, 3756, 267, 13410, 267, 2055, 267, 543, 824, 1187, 2238, 267, 789, 5531, 1344, 827, 875, 1142, 851, 540, 519, 2634, 8309, 547, 3232, 2713, 780, 3528, 1210, 513, 4222, 2861, 2203, 267, 5778, 17595, 5505, 2832, 547, 7668, 2043, 543, 3885, 676, 4758, 873, 3407, 4030, 883, 741, 1378, 5759, 269, 5457, 267, 1100, 1079, 12058, 616, 7567, 267, 543, 3025, 814, 741, 1378, 1305, 540, 2706, 335, 10183, 256, 4197, 16523, 1223, 1291, 547, 12423, 1007, 2081, 547, 8011, 538, 1153, 267, 3347, 267, 12348, 267, 543, 3564, 269, 1924, 1577, 781, 8661, 938, 3604, 543, 9784, 938, 2189, 13344, 1317, 267, 1927, 267, 789, 1711, 519, 4190, 13795, 540, 1480, 1761, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 690, 518, 661, 269, 700, 21516, 267, 1912, 6185, 454, 4263, 519, 4741, 585, 11671, 17595, 1108, 267, 4804, 543, 4886, 630, 290, 301, 17162, 1070, 649, 1935, 519, 2361, 540, 5778, 17595, 1108, 689, 513, 4222, 2861, 2203, 269, 4658, 1419, 1289, 938, 16758, 543, 2307, 585, 948, 538, 4466, 856, 1018, 779, 968, 342, 3994, 609, 873, 610, 741, 1126, 1848, 3776, 5778, 17595, 1670, 10526, 11613, 666, 1448, 856, 519, 2127, 538, 799, 513, 1268, 814, 1447, 2178, 5759, 1532, 583, 649, 849, 1265, 543, 11168, 519, 9342, 540, 938, 7218, 269, 23560, 865, 2636, 519, 2127, 540, 4222, 547, 581, 3710, 2390, 538, 1931, 547, 2232, 519, 2127, 602, 949, 711, 581, 607, 2178, 563, 4263, 31368, 17162, 267, 649, 616, 1634, 585, 938, 960, 609, 1950, 2665, 630, 324, 3052, 1421, 31298, 267, 11838, 267, 20284, 267, 715, 17162, 267, 674, 32359, 267, 16275, 267, 14715, 543, 4719, 4713, 267, 543, 3929, 4145, 1040, 1284, 20647, 538, 4543, 938, 7218, 1174, 1312, 741, 9342, 543, 12755, 865, 602, 9933, 725, 666, 581, 31965, 269, 1284, 1810, 1406, 723, 513, 9059, 18389, 267, 855, 649, 798, 723, 1296, 540, 2866, 543, 1995, 547, 948, 596, 4990, 998, 519, 10539, 538, 707, 1272, 543, 1732, 9787, 707, 1880, 2115, 269, 3776, 5778, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 23654, 15638, 543, 769, 1417, 1161, 13488, 692, 296, 269, 4985, 692, 1103, 2221, 781, 3810, 8013, 1870, 1604, 267, 3549, 616, 7683, 5275, 5499, 2081, 547, 18663, 5520, 267, 7794, 3347, 609, 7218, 267, 543, 2087, 6216, 3239, 269, 2290, 971, 4640, 602, 814, 6591, 1713, 8560, 568, 9746, 2621, 543, 15314, 2951, 269, 901, 3184, 12538, 883, 519, 14960, 540, 12180, 3811, 9746, 2621, 543, 24539, 15143, 1247, 3246, 513, 4514, 1620, 540, 875, 891, 2238, 666, 9797, 1764, 4213, 269, 1284, 786, 849, 2263, 519, 2591, 5185, 676, 3906, 950, 4058, 543, 22589, 891, 3292, 543, 1865, 2994, 547, 7753, 873, 780, 2862, 269, 4197, 23654, 15638, 692, 288, 269, 9502, 543, 20828, 692, 290, 2734, 622, 2621, 3277, 547, 6896, 19771, 23032, 676, 513, 2754, 585, 1585, 5301, 267, 1519, 9441, 2866, 267, 1587, 31782, 267, 19014, 267, 2319, 2679, 267, 543, 7817, 9913, 269, 1452, 2621, 1683, 3255, 585, 13033, 267, 1565, 267, 543, 5807, 23274, 1851, 5171, 269, 5047, 267, 789, 948, 3986, 513, 2754, 781, 10639, 543, 15287, 1369, 922, 2872, 780, 289, 269, 9537, 540, 23654, 15638, 692, 2467, 616, 3875, 2010, 540, 9746, 2621, 267, 1142, 7674, 3982, 6859, 269, 2368, 1455, 3283, 1331, 1384, 272, 269, 4762, 3720, 910, 20283, 902, 1141, 4648, 2671, 1702, 267, 2093, 267, 543, 1655, 2853, 998, 14245, 267, 8470, 5717, 267, 543, 11925, 563, 273, 269, 11780, 31698, 910, 1401, 3031, 1431, 15386, 2472, 543, 2533, 6035, 676, 2789, 3549, 1369, 513, 1808, 2872, 563, 274, 269, 12054, 21577, 910, 12409, 7886, 5059, 593, 3450, 28752, 827, 1880, 3584, 610, 1983, 563, 275, 269, 12243, 8490, 11242, 910, 3718, 10914, 2966, 547, 6536, 5698, 267, 2792, 267, 543, 1966, 9010, 5759, 1851, 9164, 563, 276, 269, 8605, 5487, 31708, 910, 10558, 725, 10962, 1007, 17008, 547, 5561, 267, 4891, 267, 543, 2923, 13222, 563, 277, 269, 1849, 1304, 30007, 910, 4934, 902, 6322, 693, 14304, 3347, 1063, 3549, 543, 741, 7218, 998, 2189, 2833, 780, 7656, 269, 634, 10020, 540, 769, 1417, 1161, 13488, 538, 6355, 11773, 692, 288, 269, 20223, 769, 1417, 1161, 13488, 692, 1103, 1417, 1161, 2951, 3322, 14785, 1164, 12656, 14127, 5520, 267, 6455, 6887, 267, 610, 12595, 7218, 609, 12600, 15143, 547, 14909, 18353, 269, 1452, 15322, 1419, 4183, 29413, 22581, 267, 14850, 335, 5803, 621, 10719, 2456, 267, 543, 20605, 2833, 3358, 547, 23700, 262, 7375, 780, 289, 269, 11588, 540, 769, 1417, 1161, 13488, 692, 10932, 6920, 602, 1134, 27059, 15314, 2951, 3292, 666, 6556, 8101, 2640, 585, 1312, 2043, 543, 3906, 267, 971, 607, 1384, 272, 269, 16842, 31802, 910, 23779, 543, 12587, 3177, 998, 15314, 2951, 4196, 607, 3532, 4665, 2209, 585, 5520, 267, 6117, 4824, 2773, 543, 7607, 563, 273, 269, 24046, 700, 5819, 1399, 910, 1635, 10115, 538, 12300, 2833, 585, 1283, 22407, 543, 10121, 7218, 267, 3549, 6542, 7071, 543, 7029, 267, 3056, 547, 6793, 1279, 3856, 3347, 563, 274, 269, 20865, 32730, 19662, 910, 769, 1417, 1161, 2951, 2488, 4686, 3255, 585, 5171, 547, 1628, 4296, 609, 9905, 267, 2706, 12542, 267, 543, 7218, 538, 17159, 5468, 267, 14123, 1344, 5385, 543, 9316, 563, 275, 269, 15474, 15952, 12005, 910, 14992, 16475, 11141, 15314, 2951, 3292, 6633, 880, 741, 8088, 725, 607, 10694, 12820, 543, 6325, 1870, 4891, 780, 4353, 269, 12020, 21988, 23654, 15638, 543, 769, 1417, 1161, 13488, 15789, 692, 288, 269, 17553, 13068, 20505, 692, 6524, 25054, 593, 2680, 610, 15314, 2951, 4058, 267, 3715, 2312, 3853, 13988, 609, 707, 3919, 781, 7580, 14422, 269, 6201, 1331, 20993, 6455, 8907, 267, 7393, 3444, 1922, 23341, 5698, 267, 610, 5009, 3318, 1646, 780, 289, 269, 17291, 27010, 10748, 1466, 692, 29991, 945, 786, 7390, 519, 9746, 2680, 610, 7119, 538, 519, 15314, 2951, 1982, 269, 6333, 2188, 899, 2816, 5107, 267, 5578, 2157, 267, 4690, 267, 543, 13664, 6753, 547, 2327, 10083, 543, 6278, 780, 290, 269, 29922, 30785, 10469, 1132, 543, 20121, 5209, 692, 16521, 28503, 543, 18353, 602, 5447, 609, 707, 3077, 5304, 781, 7375, 543, 9148, 519, 3483, 540, 519, 11018, 269, 11790, 547, 2015, 1331, 10333, 267, 22098, 2298, 267, 2199, 18845, 267, 543, 2686, 4644, 780, 291, 269, 27588, 12056, 23800, 692, 8620, 15138, 543, 7317, 989, 31789, 6220, 3309, 12043, 630, 30005, 725, 267, 11925, 267, 1514, 856, 902, 264, 543, 5466, 22317, 2152, 269, 1280, 15314, 2951, 3292, 267, 1904, 585, 16419, 32751, 687, 10452, 23700, 262, 18653, 543, 17050, 780, 292, 269, 25732, 6356, 4369, 692, 15307, 28344, 14573, 547, 6218, 1967, 543, 22945, 2132, 593, 5092, 630, 4629, 296, 1040, 5450, 7879, 949, 7854, 16045, 9547, 3928, 267, 2799, 6455, 19614, 267, 8476, 10319, 5615, 267, 610, 2318, 5955, 4607, 689, 8639, 780, 309, 269, 28304, 12694, 538, 5029, 1944, 23654, 15638, 543, 769, 1417, 1161, 13488, 692, 8601, 741, 1761, 5383, 267, 12180, 9746, 2621, 543, 15314, 2951, 2501, 609, 7915, 7965, 269, 18601, 891, 9465, 3340, 6297, 7156, 543, 14942, 3800, 267, 971, 607, 1384, 272, 269, 20907, 5004, 910, 2353, 11229, 2200, 4140, 5534, 569, 2066, 1585, 3344, 540, 2680, 4058, 543, 15314, 2951, 2359, 267, 4180, 6099, 21614, 296, 1510, 18731, 2298, 563, 273, 269, 5384, 4790, 571, 6493, 910, 3763, 10853, 28868, 543, 15518, 622, 4247, 7561, 547, 20928, 3157, 543, 7413, 2566, 563, 274, 269, 18509, 1588, 29203, 910, 22676, 720, 2029, 5867, 543, 4810, 21527, 547, 4383, 17825, 267, 10618, 267, 543, 824, 2565, 3334, 16900, 563, 275, 269, 28597, 21976, 910, 13773, 32448, 540, 3656, 6042, 12044, 9746, 2621, 543, 15314, 2951, 267, 3226, 3823, 3454, 6286, 267, 1239, 7834, 267, 543, 1072, 1299, 3106, 4441, 780, 9654, 269, 7464, 21509, 7151, 281, 8865, 5530, 540, 16156, 4975, 9990, 692, 8269, 518, 2590, 1394, 547, 938, 6679, 1349, 267, 1577, 721, 5659, 513, 19858, 9183, 5473, 519, 16156, 4975, 9990, 11356, 6849, 6578, 10148, 1813, 547, 4389, 11483, 7644, 7616, 269, 1677, 2232, 713, 4161, 267, 519, 3919, 1223, 2015, 4244, 14104, 3681, 971, 607, 13384, 832, 4721, 610, 12352, 609, 4143, 9988, 5461, 538, 8757, 519, 8313, 781, 3988, 1222, 3490, 269, 3958, 267, 3695, 1942, 15807, 28379, 8925, 630, 324, 3052, 1421, 9945, 267, 1071, 268, 11529, 5624, 264, 543, 27410, 15028, 3928, 609, 14273, 1522, 13468, 2883, 12503, 269, 14936, 267, 10128, 3059, 4066, 630, 933, 16535, 1513, 267, 2661, 18297, 264, 883, 10554, 5752, 1223, 2569, 2949, 24723, 1247, 4509, 2502, 2833, 585, 28752, 780, 23997, 269, 10390, 692, 16391, 3074, 5051, 5431, 519, 1871, 540, 9746, 2621, 543, 15314, 2951, 538, 8236, 7580, 6859, 267, 5807, 2178, 3347, 267, 543, 1114, 11868, 2933, 1369, 741, 6080, 269, 1717, 267, 16734, 891, 2640, 19329, 22111, 4058, 267, 11056, 267, 543, 6268, 269, 1635, 1739, 1655, 2853, 13890, 2429, 713, 3184, 543, 6967, 21713, 1996, 6932, 2591, 267, 3549, 666, 12260, 519, 2407, 1761, 540, 9746, 2621, 543, 15314, 2951, 267, 4412, 2454, 873, 2509, 13455, 2208, 543, 13884, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 332, 10185, 267, 795, 2317, 476, 276, 267, 476, 1001, 278, 454, 22013, 6062, 4975, 9990, 454, 1492, 327, 8114, 2593, 3068, 1504, 2593, 270, 1492, 327, 8114, 1000, 7867, 2593, 270, 1492, 20189, 8114, 454, 2764, 3817, 10563, 499, 360, 19238, 373, 1015, 269, 876, 454, 303, 678, 514, 22788, 693, 1547 ]

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

[ 0, 15350, 5940, 25344, 543, 717, 2355, 281, 4197, 19837, 1539, 894, 14740, 13081, 692, 5331, 952, 707, 1655, 3659, 10393, 7948, 1405, 3314, 1945, 1271, 602, 5949, 1175, 19108, 269, 2107, 6148, 789, 3323, 9117, 8335, 267, 899, 6340, 538, 513, 4914, 20020, 610, 1210, 1913, 789, 9327, 1405, 7363, 946, 269, 901, 1522, 3100, 9490, 267, 1318, 286, 1809, 1018, 952, 713, 729, 8345, 3330, 707, 1360, 1378, 2247, 286, 2334, 781, 4010, 1018, 4523, 547, 1004, 2713, 609, 513, 2783, 1572, 19837, 1539, 894, 14740, 13081, 630, 291, 2839, 1070, 799, 1031, 547, 581, 1572, 13038, 22226, 13081, 780, 10144, 609, 667, 2839, 1995, 2348, 1079, 610, 811, 5094, 9163, 267, 1634, 607, 834, 531, 1562, 2437, 602, 1491, 1852, 540, 741, 3527, 543, 4555, 693, 1585, 2053, 269, 898, 781, 3592, 899, 972, 616, 2789, 7606, 4687, 835, 1560, 256, 1452, 32290, 666, 723, 3982, 25469, 267, 6502, 267, 14789, 267, 4654, 267, 4978, 267, 4529, 267, 5615, 1107, 596, 2012, 621, 256, 6884, 891, 32290, 11677, 1808, 8823, 267, 2523, 1346, 5532, 547, 3929, 8194, 267, 6466, 824, 32290, 1810, 1405, 2671, 1346, 1482, 973, 565, 27928, 269, 1924, 875, 1281, 3965, 1404, 513, 1909, 538, 667, 2839, 286, 4270, 267, 1577, 781, 4685, 4514, 883, 1620, 3965, 1253, 25344, 543, 10616, 2404, 609, 713, 4241, 2943, 1950, 5626, 7613, 780, 300, 655, 1559, 616, 31868, 2044, 2370, 1919, 282, 3006, 267, 938, 12058, 1689, 873, 936, 942, 267, 4946, 1007, 3877, 610, 30534, 2025, 3283, 269, 1280, 1034, 540, 721, 267, 891, 2242, 2049, 7930, 543, 5749, 1405, 2356, 18476, 269, 1717, 267, 2043, 609, 667, 2839, 1419, 3068, 27290, 19260, 538, 741, 8823, 1813, 547, 519, 3310, 540, 741, 3309, 32290, 269, 1323, 7369, 9013, 519, 9637, 1282, 513, 1880, 4090, 1223, 5732, 3337, 519, 1259, 8823, 1205, 6740, 610, 27416, 2663, 269, 5994, 5870, 2576, 1007, 855, 1287, 2348, 1776, 7369, 1491, 5279, 1354, 22867, 602, 7237, 547, 1279, 3856, 3965, 4859, 269, 1879, 15175, 1394, 547, 519, 3312, 7369, 267, 789, 1522, 6560, 547, 11291, 4105, 3344, 540, 519, 5872, 269, 6684, 267, 1142, 7369, 1522, 13498, 3871, 8335, 1759, 593, 741, 2189, 7592, 267, 4611, 538, 8795, 6589, 540, 3838, 2833, 1851, 32290, 780, 3086, 4952, 7680, 513, 1253, 7675, 2680, 543, 1152, 835, 7369, 6585, 5196, 602, 11213, 3965, 269, 13536, 267, 950, 20402, 827, 519, 10071, 267, 519, 3119, 7369, 1522, 20912, 1022, 1702, 540, 621, 1317, 789, 2760, 4810, 6862, 15422, 621, 20250, 269, 11531, 267, 519, 14595, 7209, 11438, 519, 11411, 540, 882, 1516, 602, 15779, 12558, 4805, 269, 3683, 342, 3559, 2719, 4664, 13615, 547, 971, 13685, 949, 2417, 635, 12393, 6927, 267, 4929, 7161, 610, 10616, 538, 3965, 23023, 2066, 32290, 780, 4322, 2591, 5031, 1946, 23235, 543, 8156, 667, 2839, 3340, 10373, 9639, 267, 5578, 267, 543, 6568, 269, 10076, 1072, 4648, 960, 5702, 609, 2550, 267, 4543, 873, 6330, 998, 14845, 3965, 8916, 1247, 5807, 2792, 1063, 32290, 269, 1635, 3257, 865, 267, 16293, 2832, 547, 1711, 22122, 543, 9322, 1369, 606, 1367, 781, 27929, 20369, 3832, 780, 1103, 5758, 267, 19837, 1539, 894, 14740, 13081, 6799, 10578, 4030, 883, 1480, 3965, 543, 3961, 5250, 269, 2755, 7231, 609, 3965, 1253, 25344, 543, 10616, 666, 6961, 4101, 267, 1565, 827, 713, 16613, 2783, 2636, 721, 547, 5660, 519, 6909, 6988, 543, 6043, 540, 519, 1480, 2247, 269, 5457, 267, 1169, 2634, 1568, 19918, 267, 15268, 543, 9687, 2429, 938, 2729, 910, 1454, 899, 519, 7415, 2043, 945, 2661, 609, 2175, 971, 607, 667, 2839, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22818, 596, 4076, 2907, 4862, 540, 667, 2839, 281, 19837, 1539, 894, 14740, 13081, 563, 2171, 2461, 6217, 811, 543, 811, 827, 621, 538, 519, 2923, 267, 543, 649, 666, 1256, 1265, 621, 538, 1978, 8874, 630, 324, 3052, 269, 590, 5902, 1040, 1306, 513, 1267, 267, 1312, 3020, 543, 7301, 1344, 827, 713, 21454, 568, 21883, 269, 2913, 779, 1491, 513, 1413, 693, 570, 14888, 1927, 2336, 272, 269, 1548, 568, 4744, 1539, 894, 3961, 4524, 888, 291, 1170, 1539, 894, 14740, 13081, 630, 291, 2839, 264, 568, 513, 2790, 4524, 19497, 1634, 607, 13038, 22226, 13081, 630, 6573, 291, 1916, 763, 4524, 568, 6353, 676, 519, 4527, 540, 835, 610, 811, 32290, 630, 1211, 885, 264, 945, 1491, 621, 538, 7140, 547, 1491, 1852, 540, 519, 1268, 563, 763, 1114, 9163, 602, 666, 581, 1336, 538, 667, 2839, 616, 1572, 968, 2704, 1562, 9731, 2704, 1562, 616, 711, 782, 519, 1482, 269, 1358, 949, 711, 723, 519, 1482, 4008, 267, 2085, 610, 7209, 269, 1358, 949, 849, 8428, 538, 1893, 269, 2290, 1325, 614, 949, 3717, 2296, 1247, 782, 519, 1866, 3717, 3943, 267, 585, 1383, 269, 1358, 4465, 1406, 723, 519, 1482, 4978, 267, 4529, 610, 2623, 269, 3962, 1325, 614, 814, 922, 1378, 8823, 267, 609, 930, 20808, 8823, 540, 15779, 2621, 1247, 1866, 688, 341, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 25514, 5940, 25344, 543, 717, 2355, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 19837, 1539, 894, 14740, 13081, 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, 0, 1306, 519, 3141, 3459, 547, 1305, 593, 519, 1507, 4884, 540, 24442, 6807, 267, 3025, 729, 11112, 8600, 585, 519, 19670, 7088, 269, 25561, 5505, 1185, 1044, 9477, 513, 7372, 1000, 3563, 18188, 2786, 2509, 873, 267, 9621, 9552, 543, 14784, 269, 4014, 789, 14201, 1406, 607, 796, 331, 13806, 607, 18703, 267, 2348, 1044, 23542, 1639, 2185, 2053, 538, 1175, 27552, 1296, 267, 519, 4961, 540, 24442, 6807, 6785, 789, 7948, 1406, 6488, 547, 30391, 12624, 7186, 780, 1103, 519, 2295, 540, 519, 4884, 5030, 519, 8592, 976, 1107, 513, 1920, 1134, 1790, 10517, 1563, 585, 1022, 9568, 269, 1358, 1185, 3710, 606, 11895, 7088, 536, 6064, 518, 538, 741, 18147, 1310, 11504, 513, 3106, 29519, 4371, 676, 15776, 12340, 28331, 2006, 26673, 3205, 267, 16628, 540, 519, 8549, 19137, 585, 15822, 23467, 630, 14566, 23808, 1040, 11109, 4862, 3771, 8089, 2984, 689, 1200, 827, 10034, 530, 21317, 1055, 519, 4786, 1813, 547, 13385, 4027, 1996, 2067, 1608, 600, 885, 267, 6004, 269, 9652, 5433, 25997, 547, 2327, 1010, 1920, 779, 3106, 780, 4002, 519, 824, 2427, 540, 4884, 759, 3660, 519, 2961, 1562, 267, 945, 941, 1869, 26617, 827, 10115, 2724, 538, 14335, 513, 2922, 4055, 269, 968, 296, 1589, 621, 779, 11991, 2223, 11427, 269, 25020, 11130, 267, 968, 2171, 723, 2614, 21855, 891, 2395, 282, 649, 1223, 2141, 4734, 4884, 952, 2877, 1848, 4173, 9393, 267, 2705, 267, 7012, 1406, 865, 2386, 269, 1261, 27416, 875, 1978, 16973, 538, 18703, 24714, 789, 1185, 1697, 24181, 1282, 519, 2063, 28575, 799, 10645, 476, 2190, 2729, 780, 19602, 267, 25867, 16399, 693, 12493, 4400, 3427, 5185, 513, 2147, 14196, 269, 2755, 1352, 6956, 519, 2956, 540, 17516, 513, 2922, 2230, 1369, 519, 1153, 22402, 267, 6578, 10148, 1500, 621, 3100, 7543, 269, 1717, 267, 7487, 1453, 4730, 3544, 5103, 519, 31587, 8594, 13489, 1042, 1945, 3330, 1200, 269, 10318, 1441, 267, 1352, 4956, 547, 3914, 856, 547, 2199, 4213, 5275, 1489, 780, 12988, 693, 519, 9652, 15335, 267, 2370, 15207, 4280, 1010, 4651, 267, 968, 291, 23098, 267, 1946, 798, 649, 991, 513, 2462, 8559, 538, 938, 13452, 9495, 3571, 19033, 20493, 267, 7713, 267, 968, 2005, 781, 938, 2027, 15720, 1747, 267, 5067, 269, 1879, 972, 779, 513, 3983, 7088, 4947, 267, 649, 979, 1524, 972, 2394, 621, 10596, 269, 898, 8952, 721, 2922, 14325, 4263, 519, 1482, 942, 267, 936, 693, 519, 25020, 7622, 267, 1762, 14667, 14478, 519, 3377, 6179, 3585, 1247, 1200, 3237, 23503, 269, 22628, 1200, 4160, 267, 6004, 269, 25020, 15260, 3293, 1200, 267, 968, 10673, 1406, 5855, 267, 6653, 24711, 269, 1403, 1919, 1205, 2731, 3983, 267, 649, 3580, 5577, 883, 519, 1286, 543, 5397, 2476, 14325, 2026, 519, 1101, 31830, 338, 540, 2842, 3323, 18644, 24442, 6807, 267, 11784, 1671, 4240, 1851, 922, 11317, 269, 3509, 32357, 547, 741, 6517, 15691, 547, 9101, 267, 1247, 1866, 8179, 3382, 16382, 2009, 910, 5008, 1115, 267, 3490, 906, 267, 1256, 8602, 30344, 338, 269, 10251, 267, 930, 4025, 6035, 2370, 4027, 1996, 519, 1395, 560, 9317, 28575, 751, 2130, 998, 4884, 780, 8649, 573, 560, 782, 713, 14784, 267, 519, 8592, 976, 9108, 26731, 883, 741, 25167, 536, 6064, 518, 267, 9350, 569, 7996, 856, 519, 7088, 1927, 269, 21661, 4884, 267, 7064, 547, 25867, 16399, 781, 29287, 3646, 267, 519, 1053, 540, 12493, 4400, 1336, 9675, 538, 513, 9241, 9112, 2922, 4055, 269, 2552, 337, 3320, 267, 519, 2961, 1562, 8694, 909, 12758, 538, 6808, 3843, 547, 25176, 4884, 267, 6028, 873, 6534, 547, 519, 2407, 32716, 540, 2470, 780, 2691, 21554, 13264, 267, 24442, 6807, 7444, 7153, 689, 9944, 519, 6299, 1076, 2451, 3297, 269, 30586, 267, 1813, 547, 15416, 3144, 676, 1896, 3885, 543, 5238, 267, 25096, 941, 8766, 3379, 547, 1018, 1223, 723, 1044, 269, 2506, 27679, 13602, 6825, 1141, 8075, 2899, 11542, 267, 855, 9624, 519, 20739, 1188, 720, 267, 4126, 7173, 9229, 780, 8893, 4121, 267, 519, 2961, 1562, 6368, 7691, 519, 1871, 540, 2348, 513, 5150, 12062, 2673, 676, 269, 1656, 1498, 521, 5417, 2989, 676, 519, 2530, 267, 789, 12247, 539, 2760, 1586, 547, 14207, 741, 3106, 269, 30027, 3585, 267, 6273, 676, 25867, 16399, 781, 11036, 267, 811, 3506, 2066, 519, 2197, 15748, 2508, 24597, 11044, 547, 1628, 10930, 6703, 267, 5807, 6793, 2950, 4712, 547, 3068, 8726, 2501, 1985, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 5649, 519, 1739, 2376, 543, 2824, 519, 1655, 2626, 269, 9137, 281, 634, 21219, 540, 18703, 267, 20274, 267, 513, 4884, 3186, 1192, 539, 585, 519, 8772, 942, 538, 476, 1691, 1296, 676, 513, 2101, 28575, 2073, 616, 513, 12576, 602, 1699, 2679, 9479, 476, 666, 1405, 798, 1454, 547, 2061, 3959, 9552, 543, 2530, 540, 1272, 267, 2523, 950, 513, 3532, 28575, 11912, 998, 4884, 269, 1809, 519, 2698, 2669, 1297, 666, 581, 4389, 950, 1004, 1491, 12062, 538, 11895, 7088, 536, 6064, 619, 543, 2182, 2989, 2922, 11623, 269, 634, 28575, 602, 20077, 513, 2619, 540, 9552, 998, 18703, 3576, 476, 2190, 2729, 269, 4706, 12798, 941, 9219, 539, 693, 476, 6110, 12919, 829, 5662, 269, 2060, 1152, 476, 1428, 3764, 262, 9963, 267, 7264, 19679, 4884, 610, 3576, 9675, 538, 519, 6109, 652, 15174, 540, 741, 5321, 269, 634, 9939, 5006, 941, 2111, 547, 18214, 883, 24181, 610, 1847, 547, 2922, 11623, 269, 476, 769, 18703, 1346, 11623, 10710, 2729, 269, 1809, 693, 1079, 3506, 10032, 676, 11728, 781, 28575, 267, 1100, 971, 12062, 729, 2139, 269, 15776, 12340, 28331, 2006, 26673, 3205, 568, 16628, 540, 513, 1875, 17416, 1895, 1572, 519, 8549, 19137, 585, 15822, 23467, 269, 2701, 781, 606, 12167, 585, 28575, 2922, 887, 334, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 594, 3314, 950, 1250, 5067, 1101, 5189, 803, 547, 1965, 7964, 269, 594, 6415, 513, 5458, 11176, 10178, 267, 865, 594, 729, 26617, 693, 1101, 269, 1809, 646, 18617, 803, 547, 4585, 513, 3318, 13477, 540, 6181, 1742, 6474, 609, 1864, 267, 543, 594, 723, 547, 16153, 267, 621, 729, 7168, 3078, 256, 898, 18056, 803, 540, 8384, 513, 2673, 3014, 1063, 1079, 14961, 20083, 6887, 538, 519, 715, 14566, 610, 715, 10621, 910, 6266, 540, 4640, 267, 5578, 267, 543, 19076, 13824 ]

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

[ 994, 825, 952, 711, 13292, 912, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 2132, 6936, 7531, 3698, 2638, 318, 7528, 652, 18118, 305, 300, 263, 7528, 652, 18118, 2187, 825, 13292, 815, 556, 26098, 718, 16868, 257, 7268, 342, 266, 9385, 338, 263, 7268, 270, 315, 342, 265, 264, 10954, 338, 12487, 9143, 270, 9385, 323, 26142, 323, 2580, 7662, 18118, 994, 825, 952, 711, 13292, 912, 1038, 2132, 8771, 692, 825, 3116, 912, 1038, 2132, 6936, 7531, 3698, 2638, 318, 10674, 318, 7528, 652, 26371, 7190, 263, 10674, 318, 3863, 12774, 264, 9847, 670, 1777, 335, 26473, 652, 13750, 912, 825, 8173, 825, 4258, 4242, 952, 606, 26824, 7662, 568, 4570, 454, 825, 7024, 912, 825, 2290, 540, 2418, 538, 670, 1777, 335, 26473, 652, 13750, 454, 825, 8173, 825, 2823, 815, 834, 3199, 4840, 825, 8913, 20439, 815, 5291, 318, 3863, 12774, 21858, 19629, 337, 14826, 5602, 825, 952, 7003, 6025, 340, 20439, 264, 3436, 476, 271, 912, 1038, 7662, 18118, 815, 8913, 20439, 314, 271, 2639, 1038, 952, 2638, 318, 7528, 652, 18118, 305, 300, 263, 7528, 652, 18118, 264, 568, 6936, 912, 2018, 7662, 309, 541, 815, 7662, 18118, 21858, 2891, 270, 5602, 2018, 1505, 815, 7662, 309, 541, 314, 271, 2639, 2018, 4528, 815, 7662, 309, 541, 314, 272, 316, 1341, 26230, 1341, 7662, 309, 541, 314, 273, 6540, 2018, 952, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 15234, 543, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 273, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 2018, 8640, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 6540, 2018, 952, 7003, 6025, 340, 20439, 264, 3436, 476, 272, 912, 3546, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 314, 272, 8079, 568, 6936, 912, 7386, 8237, 23175, 518, 815, 8913, 20439, 314, 272, 4940, 20889, 2891, 281, 5602, 7386, 952, 2638, 318, 23175, 518, 1805, 6621, 4433, 5902, 23175, 518, 314, 271, 8079, 568, 8771, 912, 13376, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 3546, 3116, 912, 7386, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 3546, 952, 7003, 6025, 340, 20439, 264, 13843, 476, 273, 912, 7386, 585, 1775, 538, 2039, 263, 273, 267, 7003, 6025, 340, 20439, 15892, 13376, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 5157, 8079, 568, 8771, 912, 23351, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 2018, 3116, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 952, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 275, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 12991, 5588, 318, 24746, 13048, 18306, 3633, 454, 2018, 8640, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 276, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 1205, 21545, 815, 8913, 20439, 314, 272, 4940, 20889, 2891, 281, 15419, 2018, 952, 7003, 263, 1326, 21545, 264, 2652, 476, 274, 912, 3546, 952, 26230, 538, 1205, 21545, 314, 273, 14158, 7386, 2990, 815, 1205, 21545, 314, 273, 4940, 22772, 3488, 270, 5073, 7386, 2823, 815, 1205, 21545, 314, 273, 6012, 281, 6570, 2639, 3546, 3116, 912, 7386, 2823, 815, 1205, 21545, 314, 273, 6540, 1038, 8640, 2638, 318, 7528, 652, 18118, 4456, 263, 7528, 652, 18118, 264, 568, 6936, 912, 2018, 7662, 309, 541, 815, 7662, 18118, 21858, 2891, 19515, 2018, 1505, 815, 7662, 309, 541, 314, 271, 2639, 2018, 4528, 815, 7662, 309, 541, 314, 273, 6540, 2018, 952, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 15234, 543, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 273, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 2639, 2018, 8640, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 316, 2652, 1412, 12466, 3546, 1642, 8913, 20439, 314, 6352, 6025, 340, 20439, 264, 910, 476, 272, 6540, 2018, 952, 7003, 6025, 340, 20439, 264, 3436, 476, 273, 912, 3546, 585, 1775, 538, 2039, 263, 273, 267, 7003, 6025, 340, 20439, 15892, 7386, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 5157, 8079, 568, 8771, 912, 13376, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 454, 2018, 8640, 7003, 6025, 340, 20439, 264, 2652, 476, 273, 912, 3546, 952, 2638, 318, 3650, 518, 18118, 6025, 340, 20439, 314, 272, 8079, 568, 8771, 912, 7386, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 952, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 275, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 12991, 5588, 318, 24746, 13048, 18306, 3633, 454, 2018, 8640, 2638, 8548, 1385, 9852, 1385, 264, 2652, 476, 276, 912, 3546, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 2018, 1205, 21545, 815, 8913, 20439, 314, 271, 4940, 20889, 2891, 281, 15419, 2018, 952, 7003, 263, 1326, 21545, 264, 2652, 476, 274, 912, 3546, 952, 26230, 538, 1205, 21545, 314, 272, 14158, 7386, 2990, 815, 1205, 21545, 314, 272, 4940, 22772, 3488, 270, 5073, 7386, 2823, 815, 1205, 21545, 314, 272, 6012, 281, 6570, 2639, 3546, 3116, 912, 7386, 2823, 815, 1205, 21545, 314, 272, 6540, 1038, 3116, 912, 2018, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 1038, 2132, 670, 1777, 335, 26473, 652, 13750, 14371, 302, 7495, 454, 825, 3116, 912, 1038, 2132, 670, 1777, 335, 26473, 652, 13750, 269, 2562, 309, 3201, 2839, 318, 2562, 303, 7473, 692, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 1820, 2891, 314, 13765, 318, 10674, 318, 7528, 652, 26371, 7190, 316, 25956, 803, 32405, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 2020, 825, 1948, 2132, 670, 1777, 335, 26473, 652, 13750, 10422, 299, 19781, 295, 5357, 29308, 7531, 3698, 24846, 1125, 318, 10674, 318, 7528, 652, 263, 7528, 652, 318, 16769, 281, 670, 1777, 335, 26473, 652, 14813, 334, 2187, 825, 8173, 825, 623, 7491, 606, 26824, 7662, 593, 519, 24846, 1242, 630, 20598, 264, 1106, 454, 825, 676, 22212, 519, 3403, 7662, 318, 16769, 1843, 563, 825, 585, 1383, 267, 4228, 513, 2407, 15745, 547, 3448, 2619, 1341, 21118, 20927, 563, 825, 7024, 912, 825, 4986, 267, 855, 1110, 5809, 519, 3403, 1843, 454, 825, 29185, 825, 952, 7003, 263, 7528, 652, 318, 16769, 23584, 619, 264, 3436, 476, 271, 912, 1038, 952, 7662, 318, 16769, 23584, 619, 314, 271, 6012, 272, 316, 11203, 7662, 318, 16769, 269, 7528, 6479, 318, 10676, 912, 2018, 3984, 23175, 518, 815, 22373, 295, 739, 2580, 7662, 318, 16769, 269, 7528, 6479, 318, 10676, 2639, 2018, 7662, 318, 16769, 23584, 619, 27044, 263, 271, 267, 3984, 23175, 518, 994, 825, 3116, 912, 1038, 3984, 23175, 518, 815, 22373, 295, 739, 2580, 7662, 318, 16769, 269, 7528, 6479, 318, 10676, 2639, 1038, 7662, 318, 16769, 23584, 619, 27044, 263, 271, 267, 3984, 23175, 518, 2020, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 1820, 2891, 314, 338, 534, 527, 1125, 318, 10674, 318, 7528, 652, 316, 25956, 803, 32405, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 9239, 19399, 2971, 2162, 454, 258, 23680, 519, 3009, 2630, 607, 568, 563, 19399, 2971, 2162, 7531, 3698, 1205, 318, 1173, 263, 12407, 16229, 267, 9949, 22561, 2187, 825, 8173, 1038, 717, 1115, 513, 4971, 1899, 4661, 676, 4994, 630, 16694, 281, 4994, 6238, 689, 476, 272, 994, 1038, 1403, 519, 4661, 568, 711, 7727, 267, 621, 13290, 547, 946, 513, 9949, 1871, 563, 1038, 1403, 513, 9949, 1871, 3884, 1405, 13859, 267, 606, 5470, 5048, 568, 9102, 454, 1038, 543, 2165, 7149, 519, 1982, 563, 825, 8173, 825, 2119, 912, 1038, 2132, 19523, 27769, 341, 314, 12407, 16229, 2639, 825, 4849, 12039, 13286, 607, 552, 912, 1038, 952, 9949, 912, 2018, 2132, 9949, 454, 1038, 3116, 912, 2018, 1820, 16216, 994, 2018, 1820, 18692, 3546, 535, 257, 314, 293, 2969, 3201, 316, 634, 635, 663, 11060, 4661, 1948, 314, 346, 12407, 16229, 348, 316, 568, 7508, 5602, 2018, 14827, 8987, 272, 264, 476, 1948, 5358, 11056, 8959, 563, 692, 3698, 2638, 18316, 12173, 10031, 825, 8173, 825, 4258, 4242, 952, 713, 3758, 814, 513, 4570, 2012, 585, 2608, 11357, 3939, 20330, 825, 4734, 713, 1599, 543, 607, 543, 1810, 1405, 946, 621, 269, 621, 781, 1175, 454, 825, 547, 711, 1518, 596, 952, 596, 2811, 26446, 513, 3758, 609, 513, 2953, 454, 825, 2012, 563, 825, 8173, 825, 7097, 12173, 815, 15259, 29624, 12500, 553, 17575, 263, 1029, 12803, 1029, 994, 825, 1104, 556, 454, 825, 13292, 815, 556, 26098, 718, 16868, 257, 7268, 323, 346, 275, 20731, 264, 346, 267, 273, 348, 18350, 273, 315, 269, 6853, 2580, 7097, 12173, 994, 825, 952, 711, 13292, 912, 1038, 1820, 6600, 257, 314, 310, 27073, 316, 11711, 2012, 568, 23380, 1496, 346, 27771, 12173, 348, 316, 5602, 825, 3116, 912, 1038, 1820, 6600, 257, 314, 299, 8104, 316, 11711, 2012, 568, 2953, 1701, 9239, 3698, 1292, 10031, 825, 8173, 825, 7490, 4734, 519, 3009, 538, 713, 1599, 607, 568, 563, 825, 1677, 1039, 3009, 602, 3096, 1124, 22806, 267, 1745, 1863, 547, 1039, 3252, 454, 825, 1657, 1292, 543, 3544, 519, 5049, 27969, 692, 825, 1820, 19629, 333, 14826, 5602, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 1820, 6600, 257, 314, 299, 8104, 316, 24614, 4971, 1899, 7440, 1496, 346, 3299, 29717, 21860, 4433, 903, 27769, 341, 14587, 316, 5602, 825, 2638, 18316, 12173, 4590, 825, 1820, 2891, 265, 257, 2608, 476, 2004, 994, 825, 21285, 318, 1636, 20311, 815, 1205, 318, 1173, 263, 272, 267, 476, 6642, 6434, 994, 825, 7127, 318, 4812, 263, 2889, 15383, 318, 1636, 20311, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590 ]

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

[ 4205, 1851, 519, 16403, 1186, 267, 2523, 1472, 32615, 8951, 563, 763, 2623, 540, 1312, 5256, 543, 4775, 16403, 1186, 2242, 1282, 891, 5712, 269, 631, 2297, 1831, 811, 8013, 543, 1522, 1256, 4497, 538, 24515, 547, 3094, 519, 3007, 540, 513, 4775, 269, 12339, 2297, 267, 593, 519, 824, 1688, 267, 949, 1397, 811, 1719, 538, 2362, 8573, 21403, 9038, 267, 607, 789, 1223, 2709, 1732, 4027, 543, 6090, 585, 741, 15556, 563, 2691, 621, 2501, 547, 7446, 29982, 267, 32315, 2763, 525, 616, 711, 1360, 4584, 344, 269, 5637, 9038, 543, 8951, 949, 723, 2789, 4891, 2429, 741, 2729, 269, 1717, 267, 1978, 2188, 798, 3310, 741, 3903, 269, 4400, 8573, 21403, 9038, 1419, 723, 811, 3255, 547, 19898, 1813, 547, 741, 4567, 543, 4222, 269, 21834, 849, 1404, 513, 1909, 282, 8951, 1522, 3442, 29982, 609, 6090, 1114, 689, 741, 1378, 547, 2327, 2635, 15556, 563, 12892, 6384, 267, 971, 607, 7554, 4646, 1282, 25462, 543, 824, 4205, 267, 666, 849, 3310, 20282, 5079, 269, 1280, 1383, 267, 513, 4775, 949, 4782, 513, 5256, 945, 814, 1044, 2186, 610, 5363, 547, 1200, 563, 299, 517, 14423, 540, 17716, 454, 6701, 32315, 2763, 525, 1395, 690, 13904, 286, 9521, 930, 2249, 602, 1106, 15400, 1395, 690, 13904, 7554, 267, 32315, 2763, 525, 616, 711, 1395, 690, 13904, 269, 4256, 3347, 616, 811, 10151, 543, 1759, 593, 7525, 2115, 610, 1514, 1796, 902, 269, 2755, 789, 949, 1106, 2178, 1514, 7554, 267, 891, 798, 711, 8209, 14377, 883, 12600, 610, 1279, 3856, 20282, 12352, 269, 901, 568, 538, 4334, 547, 2249, 899, 2220, 753, 610, 930, 20384, 267, 799, 1419, 7649, 609, 835, 19898, 585, 1082, 1296, 610, 1256, 741, 3003, 2729, 269, 769, 519, 1158, 540, 32315, 2763, 525, 267, 8112, 543, 13916, 538, 3347, 616, 1883, 547, 741, 6668, 543, 10285, 1967, 563, 11847, 8793, 11150, 543, 9977, 532, 454, 8139, 519, 10285, 2994, 543, 15970, 6208, 540, 32315, 2763, 525, 3091, 513, 6251, 1413, 693, 1946, 789, 798, 711, 19898, 585, 1272, 563, 2419, 574, 3966, 2763, 525, 723, 513, 4241, 10285, 7350, 269, 21058, 32315, 2763, 525, 3335, 3914, 10285, 2085, 1472, 476, 1724, 1296, 2025, 267, 1247, 9038, 1831, 16770, 9921, 513, 3787, 2663, 269, 9521, 3425, 267, 4775, 32315, 2763, 525, 723, 513, 7298, 11926, 950, 789, 616, 538, 1609, 6350, 267, 15202, 741, 22026, 547, 19898, 269, 901, 1974, 4386, 10199, 1169, 3923, 543, 16569, 585, 827, 476, 1015, 547, 476, 1691, 2395, 563, 1103, 519, 3552, 267, 8951, 949, 2285, 4332, 1169, 476, 276, 547, 476, 277, 1296, 267, 3850, 873, 15792, 942, 547, 1445, 593, 1142, 15556, 269, 634, 1279, 8884, 1063, 24570, 568, 14356, 1813, 547, 519, 6905, 942, 32315, 345, 2465, 11299, 6108, 12391, 585, 741, 1762, 269, 634, 3500, 10285, 2557, 4249, 513, 2565, 1909, 538, 519, 2551, 6384, 540, 32315, 2763, 525, 563, 763, 5539, 540, 9870, 519, 1762, 8813, 6140, 593, 519, 11299, 269, 1358, 12016, 741, 9002, 585, 827, 2947, 1296, 267, 3450, 873, 1898, 6668, 1983, 267, 1514, 5615, 267, 543, 25061, 2553, 269, 901, 2673, 6125, 543, 12675, 1974, 540, 1416, 616, 1898, 585, 519, 6668, 540, 519, 1762, 538, 519, 4101, 1604, 540, 519, 3552, 563, 300, 1446, 32315, 2763, 525, 267, 593, 519, 824, 1688, 267, 10355, 7119, 538, 1463, 1126, 3146, 2130, 269, 4256, 1909, 538, 15970, 568, 1447, 2312, 543, 1419, 9940, 269, 2368, 2090, 2303, 602, 5256, 16403, 1186, 949, 2149, 741, 2146, 267, 799, 2882, 741, 15556, 267, 610, 949, 1106, 7874, 3347, 609, 1762, 16403, 1186, 269, 1717, 267, 789, 798, 711, 1683, 519, 1482, 1377, 540, 1416, 610, 3007, 607, 519, 11299, 269, 901, 6498, 540, 15366, 9021, 568, 1776, 2460, 540, 1946, 32315, 2763, 525, 798, 711, 1106, 15400, 20282, 8424, 267, 607, 1142, 2385, 814, 3982, 5107, 602, 1810, 1406, 8209, 2154, 513, 8628, 11450, 563, 9961, 713, 3408, 267, 649, 1642, 1386, 2620, 883, 519, 1514, 543, 10285, 3344, 540, 32315, 2763, 525, 269, 1452, 28516, 2661, 538, 6946, 7239, 1141, 17282, 267, 15796, 267, 543, 16345, 1404, 2565, 5107, 538, 5935, 741, 5615, 269, 4256, 20282, 6208, 267, 9141, 676, 1585, 6211, 543, 1514, 6384, 267, 616, 1312, 1950, 543, 8465, 269, 1924, 267, 798, 32315, 2763, 525, 19898, 585, 1272, 286, 634, 2312, 2626, 568, 1100, 269, 1358, 1106, 7554, 267, 3006, 2178, 3283, 267, 855, 711, 15400, 20282, 19647, 269, 4197, 519, 14960, 540, 32315, 345, 2465, 20282, 2623, 711, 1152, 27862, 938, 1702, 827, 873, 855, 849, 24259, 1769, 593, 519, 13261, 2994, 6964, 676, 7320, 538, 3309, 9249, 269, 6182, 553, 4771, 891, 2035, 568, 4909, 585, 6626, 7320, 2090, 267, 4180, 649, 1935, 5726, 543, 1382, 609, 513, 11455, 5133, 563, 2710, 932, 574, 3966, 2763, 525, 631, 622, 585, 5020, 286, 3657, 1358, 3933, 690, 13904, 286, 1107, 32279, 18542, 5999, 630, 11902, 304, 994, 1692, 1082, 4891, 798, 16403, 1186, 723, 888, 2419, 31663, 666, 723, 1082, 4891, 269, 1358, 1810, 1406, 6529, 547, 1175, 835, 19898, 269, 769, 741, 2516, 267, 1312, 5256, 543, 4775, 16403, 1186, 949, 19898, 609, 1896, 1866, 563, 2710, 16403, 1186, 19898, 899, 3425, 888, 2419, 31663, 1810, 1406, 19898, 3833, 899, 3425, 269, 1358, 723, 513, 811, 13680, 1935, 267, 1510, 519, 1950, 1514, 7554, 3425, 1419, 723, 269, 1358, 1810, 1406, 2356, 1106, 1279, 3856, 15185, 547, 6318, 741, 1762, 1927, 563, 2710, 16403, 1186, 723, 1395, 690, 13904, 3347, 888, 2419, 31663, 616, 711, 1395, 690, 13904, 269, 1358, 1810, 1406, 723, 513, 1062, 540, 2348, 1152, 835, 19898, 693, 513, 942, 269, 901, 1797, 789, 666, 723, 9002, 609, 1114, 4891, 2429, 741, 2729, 563, 6701, 972, 1022, 3284, 525, 602, 19898, 585, 1272, 888, 294, 756, 19490, 616, 513, 1826, 540, 513, 701, 602, 2356, 19898, 585, 1272, 269, 1358, 1106, 2178, 7554, 609, 741, 4891, 269, 1358, 2461, 606, 9868, 1851, 3284, 525, 267, 1034, 540, 7247, 723, 2789, 29982, 563, 2710, 4775, 16403, 1186, 3442, 741, 29982, 888, 293, 24580, 16403, 1186, 798, 3442, 741, 29982, 269, 1358, 949, 1413, 585, 2178, 610, 1164, 8573, 21403, 9038, 269, 1809, 789, 849, 666, 19898, 609, 1082, 1114, 9038, 267, 711, 1175, 835, 5172, 269, 0, 7922, 690, 281, 10289, 519, 3095, 1063, 8471, 1072, 3795, 543, 1514, 4027, 454, 3528, 590, 1690, 534, 11986, 590, 23186, 340, 267, 8693, 10418, 267, 17842, 454, 763, 8693, 10418, 814, 2221, 1107, 17629, 2657, 15147, 720, 4303, 1107, 3370, 513, 3102, 7650, 540, 8471, 1072, 3795, 607, 513, 30361, 540, 1514, 4027, 563, 26536, 531, 2657, 15147, 720, 607, 513, 14265, 1017, 30346, 541, 585, 4317, 10466, 8711, 2013, 2090, 689, 630, 531, 8224, 1227, 264, 19168, 267, 12868, 267, 16444, 20092, 543, 31512, 807, 267, 2059, 609, 1883, 4030, 585, 11051, 17935, 547, 11753, 1514, 4027, 543, 1072, 3795, 563, 1103, 1142, 2197, 267, 519, 2956, 540, 519, 2817, 5980, 538, 519, 11865, 540, 1072, 1416, 568, 8268, 547, 6542, 519, 1761, 540, 3540, 2486, 607, 513, 2898, 538, 5885, 543, 7393, 3084, 3646, 563, 12892, 4027, 568, 2966, 547, 2569, 6710, 267, 8635, 267, 543, 13438, 267, 1247, 519, 6662, 540, 8471, 1072, 3795, 568, 547, 1683, 1004, 609, 1569, 547, 2298, 543, 12905, 1072, 2533, 1510, 2883, 27465, 282, 789, 5447, 1134, 563, 763, 2078, 568, 2417, 2781, 7757, 676, 519, 4139, 23267, 9257, 779, 476, 1001, 273, 16252, 593, 968, 25791, 4027, 19683, 892, 602, 1683, 5583, 593, 1312, 4747, 4027, 585, 782, 543, 519, 11865, 540, 1898, 3782, 2533, 563, 1103, 519, 2796, 540, 2916, 1689, 267, 3665, 4365, 568, 616, 4397, 547, 8833, 1312, 1949, 267, 17116, 1072, 543, 1134, 5630, 543, 12615, 908, 16526, 563, 12234, 267, 1007, 2916, 5829, 1072, 268, 5142, 802, 971, 607, 2799, 3002, 2566, 610, 519, 3262, 540, 11763, 3676, 949, 22009, 519, 1514, 21876, 540, 1072, 676, 2810, 6710, 563, 2108, 290, 5670, 673, 9271, 543, 3606, 9276, 4611, 689, 3665, 32734, 1430, 2621, 2059, 609, 519, 3500, 12159, 540, 11327, 24454, 602, 616, 8200, 593, 513, 7123, 2916, 1303, 3402, 1004, 538, 6710, 2223, 519, 1007, 5618, 3081, 563, 763, 17692, 13612, 814, 849, 6444, 1514, 4027, 607, 513, 2629, 5092, 585, 2810, 1004, 779, 6043, 547, 2916, 1689, 538, 519, 1034, 7925, 2477, 563, 7659, 4245, 543, 7840, 13890, 538, 519, 5618, 1331, 912, 265, 18204, 1674, 540, 8471, 1072, 3795, 543, 1514, 4027, 2115, 547, 581, 31737, 538, 1876, 563, 265, 13233, 5081, 7724, 666, 1489, 772, 18449, 3853, 543, 3095, 1137, 609, 1514, 4027, 563, 265, 288, 605, 1790, 3233, 1935, 1058, 896, 1467, 1312, 1514, 4027, 543, 8471, 1072, 3795, 563, 265, 7093, 25365, 1514, 4027, 6127, 666, 4217, 538, 8236, 1072, 3795, 585, 782, 563, 265, 10890, 1416, 543, 1514, 4027, 4324, 689, 12570, 2916, 4220, 543, 5222, 563, 26536, 531, 2657, 15147, 720, 4303, 593, 476, 1321, 5412, 568, 519, 5993, 28487, 532, 1448, 585, 519, 2518, 3350, 585, 1072, 585, 782, 267, 16287, 519, 16683, 540, 519, 6167, 779, 23596, 618, 540, 8471, 1072, 3795, 538, 476, 1001, 273, 563, 288, 19176, 4414, 9061, 15321, 2306, 2777, 7125, 538, 513, 5859, 593, 28939, 8611, 538, 14208, 15616, 3687, 327, 4975, 779, 23642, 327, 26960, 327, 8664, 269, 630, 17572, 8666, 281, 634, 1323, 327, 270, 9281, 13612, 4211, 331, 1493, 10418, 264, 0, 763, 991, 585, 4264, 2713, 814, 1831, 1283, 540, 2247, 585, 1082, 23671, 936, 519, 2250, 1906, 1296, 267, 855, 1034, 1648, 18026, 5321, 4043, 547, 723, 11741, 267, 4216, 6438, 5546, 1813, 547, 519, 5394, 2706, 15564, 4327, 6821, 267, 543, 11741, 8766, 2065, 1374, 602, 6971, 519, 2179, 540, 1648, 2877, 585, 8022, 543, 9023, 563, 305, 624, 9771, 610, 4009, 11057, 5321, 616, 1785, 12147, 3280, 543, 4443, 547, 1628, 1247, 3246, 4222, 543, 6617, 269, 634, 15398, 2781, 559, 902, 543, 1930, 1523, 5624, 1419, 1336, 538, 2413, 10357, 7888, 5321, 267, 609, 7344, 14910, 1949, 267, 5000, 5347, 25312, 543, 1732, 2011, 10009, 563, 290, 4209, 5321, 5749, 1406, 585, 3025, 267, 543, 2757, 11265, 6163, 616, 7680, 513, 25174, 538, 4516, 267, 9159, 519, 4337, 5209, 540, 21427, 267, 16413, 267, 543, 2950, 7567, 269, 901, 17105, 1719, 538, 6272, 689, 519, 2250, 11710, 689, 513, 7287, 547, 1921, 609, 2686, 5072, 267, 8661, 1686, 267, 543, 1711, 5624, 602, 16637, 519, 23644, 2470, 540, 4207, 6272, 563, 1607, 3395, 7678, 814, 2016, 4473, 547, 513, 4241, 10167, 267, 1141, 3140, 19259, 10742, 5969, 12967, 2029, 267, 11121, 5321, 602, 711, 1152, 2995, 513, 1650, 855, 849, 18220, 513, 7029, 547, 513, 22928, 267, 811, 4264, 2104, 269, 1284, 2461, 7487, 513, 22111, 5610, 540, 1648, 18026, 2609, 883, 519, 5958, 540, 2757, 8225, 6189, 563, 25565, 11265, 6163, 538, 4516, 454, 15371, 8888, 513, 1007, 2688, 1753, 267, 610, 27164, 7257, 1154, 606, 4540, 3959, 267, 649, 2461, 7487, 3859, 8440, 1373, 15841, 593, 519, 22908, 540, 20096, 267, 16972, 267, 570, 31122, 267, 27207, 2006, 543, 645, 25193, 578, 7648, 267, 543, 593, 7073, 6272, 899, 519, 4639, 11076, 13910, 543, 7073, 12426, 5264, 563, 307, 31122, 4860, 2526, 267, 610, 2048, 332, 1442, 570, 31122, 685, 2511, 5321, 2968, 2442, 538, 519, 2038, 476, 866, 628, 2540, 269, 14301, 6667, 689, 5321, 3710, 538, 519, 570, 31122, 1974, 1063, 476, 16825, 276, 543, 476, 8182, 274, 267, 789, 616, 6353, 676, 741, 30996, 1639, 1055, 7266, 516, 7450, 1811, 267, 14869, 569, 8486, 3481, 575, 762, 22908, 267, 3368, 2389, 574, 828, 532, 267, 544, 21863, 543, 588, 25458, 334, 608, 614, 12542, 267, 16560, 16403, 7958, 267, 543, 1291, 539, 4837, 9486, 563, 2005, 779, 513, 15851, 543, 28677, 11265, 2511, 267, 1634, 585, 922, 14869, 569, 8486, 3481, 1793, 622, 575, 762, 22908, 267, 1507, 18959, 619, 543, 4395, 1922, 5217, 575, 1963, 602, 1711, 513, 10058, 543, 10565, 1413, 269, 1452, 5321, 1419, 1331, 3368, 2389, 574, 828, 532, 267, 9256, 29147, 610, 15839, 609, 3574, 2609, 602, 616, 1312, 16560, 543, 7293, 563, 11900, 728, 267, 26767, 1419, 3769, 6149, 5873, 2195, 267, 3574, 3443, 2454, 267, 609, 818, 3481, 7450, 1811, 543, 15022, 622, 22285, 902, 267, 609, 6534, 20832, 269, 570, 31122, 6989, 4566, 3335, 1185, 1082, 1507, 267, 6101, 11623, 602, 6035, 7834, 563, 763, 570, 31122, 16527, 729, 6353, 676, 1713 ]

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

[ 4917, 5417, 815, 630, 15680, 776, 265, 1428, 8358, 1911, 692, 2745, 3488, 4467, 19804, 513, 2163, 334, 632, 476, 1428, 11188, 1298, 334, 694, 340, 521, 5451, 331, 9222, 1780, 541, 5451, 513, 1583, 20270, 15545, 273, 325, 348, 8339, 8971, 4433, 531, 776, 266, 5417, 11723, 258, 910, 524, 4471, 19804, 3473, 528, 527, 15879, 6446, 6460, 320, 513, 2191, 520, 3120, 632, 11019, 290, 16948, 11019, 293, 692, 322, 815, 10581, 9272, 3488, 1103, 845, 324, 513, 2191, 520, 3120, 900, 11019, 290, 281, 1412, 4917, 325, 815, 16733, 280, 2608, 524, 264, 1315, 476, 276, 264, 1341, 476, 3953, 692, 2745, 3488, 288, 2191, 520, 3120, 632, 15079, 4113, 290, 5330, 324, 513, 15079, 4113, 293, 8339, 8971, 6262, 267, 535, 11723, 258, 910, 524, 4471, 19804, 3473, 528, 527, 15879, 6446, 1608, 9908, 522, 27089, 16948, 620, 13610, 19804, 1286, 549, 692, 1485, 815, 703, 9272, 3488, 23797, 657, 1019, 553, 4938, 17845, 535, 545, 537, 635, 522, 1286, 549, 286, 1412, 4917, 14790, 815, 10581, 9272, 3488, 23797, 657, 5998, 4938, 17845, 11425, 537, 286, 1412, 11723, 7407, 815, 630, 1485, 2608, 476, 2568, 264, 1341, 630, 14790, 2608, 476, 271, 269, 1428, 2020, 2745, 3488, 302, 2698, 513, 533, 26196, 20527, 632, 681, 259, 346, 15545, 273, 325, 348, 8339, 8971, 263, 7407, 264, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 948, 721, 1174, 1686, 538, 513, 1187, 543, 2502, 1259, 269, 2913, 781, 4685, 883, 519, 11344, 2085, 540, 20210, 13371, 2835, 543, 1451, 875, 5159, 946, 9423, 547, 3142, 3007, 547, 1271, 2152, 2439, 1262, 1432, 568, 8466, 11470, 15140, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 1305, 538, 1776, 942, 1974, 286, 2334, 781, 3140, 5708, 256, 898, 781, 513, 9135, 1141, 519, 1650, 3217, 1747, 538, 519, 2250, 267, 855, 930, 2694, 1522, 581, 1500, 909, 610, 4957, 5594, 676, 519, 2278, 269, 901, 2337, 1711, 10761, 1247, 1869, 3450, 721, 827, 1483, 2621, 267, 1004, 267, 543, 4529, 780, 1262, 20075, 518, 1290, 545, 7734, 1107, 1133, 515, 731, 12267, 22067, 547, 5020, 4373, 1103, 2487, 1296, 267, 972, 814, 1044, 513, 10006, 540, 1719, 538, 10213, 2150, 1245, 2984, 827, 26173, 2516, 269, 6581, 518, 13371, 2835, 1445, 593, 3197, 945, 2697, 607, 11806, 8656, 266, 630, 299, 525, 15487, 267, 22985, 267, 645, 21361, 267, 3690, 14054, 267, 6581, 518, 267, 3955, 16303, 267, 589, 25757, 267, 543, 811, 264, 543, 741, 2833, 2429, 1686, 269, 1635, 4687, 891, 6386, 267, 3988, 666, 1732, 1174, 1114, 5380, 543, 3895, 13784, 780, 1262, 763, 13642, 16527, 540, 6581, 518, 1290, 545, 7734, 4373, 4407, 20210, 4798, 723, 2141, 11478, 538, 14676, 267, 519, 3735, 476, 736, 628, 2540, 6825, 513, 1713, 6521, 269, 4438, 713, 942, 267, 15888, 3459, 17543, 3695, 14920, 543, 4008, 4763, 538, 741, 960, 269, 1358, 3323, 4101, 6848, 8155, 543, 11319, 6302, 1369, 519, 5420, 269, 3509, 14262, 3126, 7153, 1282, 1018, 649, 1631, 1289, 519, 834, 326, 1245, 523, 5736, 257, 540, 20210, 13371, 2835, 780, 265, 7078, 281, 834, 297, 1074, 344, 22383, 2437, 3370, 538, 519, 2038, 1412, 3445, 338, 267, 729, 835, 540, 519, 1101, 13416, 13371, 3126, 10023, 16175, 14447, 3197, 269, 22177, 1262, 300, 18553, 1107, 5545, 22383, 609, 513, 3828, 626, 4373, 3086, 1577, 781, 2911, 827, 30841, 267, 799, 568, 519, 5545, 2262, 585, 13371, 2835, 269, 631, 18553, 8843, 1082, 10486, 609, 5375, 14676, 855, 849, 814, 2189, 2934, 899, 10058, 1148, 6163, 543, 8470, 29282, 269, 3683, 519, 1296, 267, 30841, 814, 6591, 8560, 5001, 1813, 547, 922, 2647, 3099, 540, 11964, 267, 1519, 3140, 5708, 780, 265, 7078, 281, 834, 16446, 32559, 338, 519, 674, 944, 880, 2437, 513, 2442, 30841, 1305, 538, 3504, 3624, 267, 6645, 519, 9661, 540, 513, 9420, 22459, 8165, 1996, 15746, 543, 7130, 269, 22177, 1262, 292, 770, 7489, 3778, 3414, 631, 18553, 700, 5151, 4373, 6624, 22600, 10440, 630, 332, 18553, 4589, 264, 3442, 547, 6813, 3140, 2621, 543, 5515, 538, 741, 1568, 269, 901, 2636, 873, 547, 2671, 14758, 8153, 3344, 540, 5101, 7489, 2528, 543, 1686, 609, 2518, 9458, 269, 2311, 2053, 267, 891, 2984, 949, 6451, 14070, 2609, 547, 3986, 5467, 6278, 543, 1620, 780, 265, 7078, 281, 834, 309, 698, 629, 1180, 2437, 513, 12021, 30841, 1759, 593, 519, 1272, 540, 19416, 32639, 2006, 4053, 20076, 631, 12011, 600, 9369, 267, 24025, 1249, 543, 5708, 16900, 269, 22177, 1262, 3963, 9701, 1284, 5516, 15140, 3528, 2542, 3140, 5708, 30841, 267, 2523, 1346, 10704, 1472, 26173, 2950, 267, 649, 4228, 938, 20030, 543, 1020, 6568, 2509, 1866, 269, 4197, 3309, 16752, 7512, 16614, 5188, 543, 11942, 513, 811, 8537, 2486, 269, 9578, 267, 1565, 1686, 998, 9159, 3308, 9423, 2306, 621, 1454, 811, 11791, 2439, 3383, 979, 6619, 267, 10544, 930, 30841, 267, 543, 1376, 3695, 519, 3638, 13795, 540, 1480, 1995, 269, 1411, 2760, 917, 799, 6456, 17576, 1522, 1831, 707, 1007, 5172, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12648, 519, 7831, 645, 924, 568, 513, 1463, 4831, 547, 519, 29268, 715, 823, 6497, 1275, 1765, 10223, 14223, 1299, 17933, 676, 20210, 270, 10520, 2950, 538, 519, 29268, 3148, 269, 3962, 12558, 796, 792, 2195, 519, 1419, 23304, 12023, 543, 796, 871, 852, 1194, 3022, 7418, 540, 20210, 1299, 1098, 11570, 547, 1514, 1689, 998, 11042, 267, 13680, 7391, 543, 18759, 593, 29268, 20210, 942, 267, 2230, 267, 543, 1747, 563, 2690, 2055, 267, 8292, 543, 5955, 281, 4757, 11333, 2593, 454, 2414, 1489, 713, 15264, 543, 519, 4659, 267, 5225, 3643, 521, 326, 323, 13318, 3482, 3820, 270, 15130, 454, 295, 739, 281, 681, 11065, 269, 15588, 338, 267, 789, 14121, 1335, 267, 8689, 540, 3292, 585, 519, 29268, 4659, 585, 11557, 7081, 1299, 13834, 16844, 454, 290, 1478, 3203, 281, 1520, 686, 26413, 15966, 768, 1157, 454, 20756, 28624, 32597, 586, 685, 718, 267, 713, 568, 681, 11065, 1421, 707, 21689, 540, 782, 1919, 29268, 267, 22205, 596, 547, 6875, 519, 7831, 645, 924, 267, 513, 1397, 1141, 649, 1491, 29268, 715, 823, 267, 17063, 621, 547, 519, 1439, 540, 513, 5569, 543, 19184, 621, 883, 513, 10720, 15691, 513, 6159, 653, 773, 610, 9267, 2917, 324, 3217, 519, 536, 7159, 563, 4002, 2221, 779, 1397, 267, 594, 1205, 547, 562, 518, 323, 856, 609, 513, 8284, 1433, 11988, 547, 10004, 827, 519, 11344, 5736, 540, 20210, 13371, 2835, 607, 7143, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23208, 11470, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 5101, 7489, 13910, 1315, 631, 18553, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 3695, 519, 13300, 540, 4155, 15143, 2066, 3013, 256, 4653, 267, 649, 3513, 1445, 593, 606, 6909, 8905, 1572, 519, 14844, 31712, 29895, 5244, 3118, 269, 5620, 596, 2479, 16545, 6117, 1524, 513, 29271, 19814, 11303, 676, 4190, 7733, 267, 8978, 4609, 267, 543, 5863, 7320, 286, 1403, 865, 267, 1287, 713, 6288, 3118, 786, 9090, 6952, 707, 3007, 269, 2913, 781, 4685, 883, 1018, 2306, 621, 971, 513, 9735, 3903, 585, 3885, 267, 2828, 267, 543, 1256, 21088, 7045, 3464, 2439, 763, 14844, 31712, 29895, 5244, 3118, 21018, 936, 476, 24496, 5195, 630, 278, 1015, 12919, 264, 689, 27850, 6807, 267, 17906, 267, 782, 519, 1259, 5045, 547, 14844, 31712, 267, 14967, 269, 898, 5205, 513, 3140, 2619, 1031, 676, 7111, 4892, 267, 3864, 13896, 267, 18318, 267, 543, 7980, 2429, 7366, 540, 1296, 269, 1924, 267, 950, 596, 5397, 2059, 713, 28677, 4155, 267, 596, 2811, 2965, 6972, 538, 741, 3723, 25074, 256, 1215, 3579, 568, 602, 2496, 3086, 1577, 803, 5862, 513, 4605, 540, 875, 2027, 713, 7552, 1223, 581, 269, 5994, 4358, 538, 7524, 27850, 6807, 910, 8535, 4975, 7330, 256, 1411, 1522, 3643, 4583, 10916, 801, 3930, 267, 2972, 8949, 8828, 1426, 267, 543, 6432, 547, 2661, 2575, 1354, 4098, 707, 3460, 269, 3973, 267, 607, 596, 4734, 27850, 6807, 3297, 267, 596, 4283, 18932, 3039, 7733, 4904, 609, 7381, 4054, 543, 10477, 3552, 25154, 269, 5901, 707, 4064, 22019, 539, 585, 13650, 267, 2881, 12399, 267, 543, 1256, 3109, 12217, 887, 5446, 1472, 891, 2694, 2439, 2026, 596, 3136, 1524, 519, 14844, 31712, 29895, 5244, 3118, 267, 972, 616, 7899, 540, 13515, 1141, 596, 666, 1451, 827, 1686, 543, 2528, 269, 1280, 3236, 267, 2638, 856, 519, 8585, 12685, 5930, 11066, 13505, 2282, 14208, 1156, 342, 12245, 267, 17906, 269, 9894, 596, 917, 602, 8585, 12685, 5930, 11066, 729, 606, 24413, 945, 5280, 1291, 519, 11066, 543, 18412, 30609, 819, 1394, 538, 519, 2038, 476, 5197, 271, 338, 286, 1261, 5747, 30122, 1175, 5087, 540, 2221, 781, 6288, 3118, 1282, 1010, 2132, 7552, 7178, 1107, 3833, 12357, 267, 1318, 286, 2311, 713, 3135, 267, 596, 666, 1294, 513, 18187, 320, 540, 1010, 18205, 15262, 543, 4952, 1272, 5553, 3516, 780, 10702, 5045, 267, 1810, 1405, 4413, 1912, 1551, 631, 2432, 267, 4092, 3544, 570, 1575, 601, 334, 267, 14967, 269, 1452, 5216, 552, 691, 1156, 544, 2432, 941, 3710, 1063, 476, 272, 5084, 543, 476, 7742, 5084, 676, 22300, 6805, 9082, 269, 1358, 2811, 899, 9649, 13410, 7996, 547, 2671, 741, 11580, 827, 3504, 12977, 2439, 5194, 1390, 4183, 540, 519, 14844, 31712, 29895, 5244, 3118, 568, 519, 11606, 540, 16351, 2238, 2139, 269, 20676, 1235, 2648, 31610, 2059, 519, 8905, 1317, 540, 922, 5347, 31879, 543, 3908, 6808, 269, 670, 1731, 619, 1265, 7772, 538, 3875, 18162, 4839, 4221, 1055, 519, 1292, 4155, 267, 3056, 873, 998, 10053, 18137, 543, 7258, 3777, 17331, 12535, 269, 8805, 3033, 338, 2059, 519, 1259, 1683, 12560, 9634, 585, 1920, 17552, 333, 923, 267, 16074, 13978, 267, 610, 3274, 16889, 1310, 513, 1279, 1554, 540, 3408, 780, 7661, 267, 1100, 4155, 7552, 1131, 581, 2347, 1510, 3843, 2199, 10366, 269, 13966, 519, 14844, 31712, 29895, 5244, 3118, 267, 521, 2948, 5023, 22476, 3046, 13069, 826, 8286, 267, 521, 760, 6653, 7401, 267, 6492, 19471, 4672, 8645, 267, 543, 32696, 538, 3636, 536, 4593, 7057, 1159, 6139, 1042, 538, 4829, 28933, 269, 962, 636, 2439, 3383, 267, 3640, 909, 707, 11435, 267, 10544, 707, 8254, 267, 543, 1205, 4712, 547, 1711, 20605, 8823, 593, 519, 14844, 31712, 29895, 5244, 3118, 269, 5808, 6487, 1018, 9035, 24098, 721, 1472, 1142, 18846, 286, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 1933, 15143, 2709, 513, 2189, 1259, 547, 2263, 519, 1158, 267, 3850, 17631, 547, 1995, 519, 8916, 267, 4529, 267, 543, 1004, 538, 513, 1259, 602, 779, 3274, 711, 2009, 676, 824, 1797, 540, 6283, 269, 3245, 519, 10239, 540, 1715, 10215, 547, 519, 24301, 540, 5245, 267, 1934, 616, 930, 12473, 4155, 7552, 18353, 585, 1346, 3168, 547, 5734, 519, 1930, 4155, 543, 7832, 593, 606, 7045, 563, 6124, 10215, 568, 835, 540, 519, 1655, 2477, 538, 519, 1158, 585, 513, 4155, 7552, 267, 7064, 547, 922, 3309, 8916, 543, 10875, 29278, 269, 634, 2197, 779, 3345, 6816, 3091, 3255, 547, 2263, 24232, 2127, 267, 17822, 267, 543, 11903, 29288, 267, 1247, 519, 3162, 6816, 19646, 23836, 10239, 267, 22260, 267, 543, 535, 329, 3581, 269, 6250, 6002, 666, 10519, 513, 4342, 704, 7079, 610, 1286, 543, 1491, 593, 519, 11599, 6660, 5112, 10003, 267, 799, 12798, 998, 674, 328, 867, 1633, 2817, 5244, 543, 3091, 18198, 5784, 693, 1169, 2490, 269, 4033, 2442, 11507, 1331, 519, 26066, 7414, 23681, 543, 519, 4279, 1325, 18090, 23681, 563, 1103, 5245, 267, 519, 4279, 7909, 10003, 568, 513, 1590, 268, 5408, 10278, 585, 4155, 2468, 13827, 269, 901, 1085, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 520, 31712, 29895, 5244, 3118, 10003, 10222, 1186, 257, 607, 851, 540, 834, 307, 30728, 1315, 2136, 2276, 1315, 3162, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4985, 912, 1103, 2221, 781, 1870, 5251, 267, 5698, 543, 2792, 1851, 2319, 2818, 616, 2629, 3334, 602, 3565, 3648, 547, 513, 2754, 781, 2949, 7607, 543, 4398, 269, 2060, 1082, 3906, 8508, 6552, 960, 1813, 547, 519, 5046, 268, 866, 6855, 267, 1514, 703, 3757, 1115, 723, 1831, 5051, 2442, 607, 789, 1683, 7347, 5698, 2934, 602, 5512, 5520, 547, 5968, 543, 12840, 16900, 269, 901, 3184, 786, 5490, 883, 519, 1523, 540, 1514, 703, 3757, 1115, 267, 741, 2640, 267, 1883, 2934, 267, 6388, 2994, 267, 543, 1655, 2853, 269, 1635, 3695, 891, 3584, 267, 596, 786, 2744, 513, 4514, 1620, 540, 875, 1514, 703, 3757, 1115, 666, 948, 7857, 1125, 707, 1870, 543, 3986, 922, 28211, 538, 476, 1708, 274, 543 ]

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

[ 538, 5726, 286, 589, 5943, 547, 5635, 5683, 5380, 563, 25324, 19912, 538, 5726, 616, 1759, 593, 513, 3099, 540, 1871, 1949, 269, 6270, 3604, 538, 875, 1004, 1871, 2470, 543, 922, 3334, 1291, 547, 1114, 20241, 540, 519, 13919, 540, 5726, 3853, 543, 4485, 267, 543, 1419, 896, 12340, 22195, 538, 519, 19862, 543, 6388, 540, 2825, 2359, 4507, 269, 13018, 267, 2436, 513, 5726, 2962, 630, 324, 3052, 269, 11318, 535, 1968, 7314, 547, 2569, 32456, 593, 6177, 2249, 12219, 609, 14486, 264, 568, 9763, 607, 3617, 610, 711, 666, 4268, 1851, 1004, 609, 1114, 1871, 1949, 269, 3371, 267, 649, 1459, 513, 12497, 267, 6310, 5943, 5497, 607, 513, 1907, 547, 18928, 2263, 543, 12172, 4295, 1871, 6898, 538, 5726, 4485, 269, 4706, 3483, 568, 547, 5031, 875, 4909, 3604, 1063, 891, 1871, 1949, 666, 1291, 547, 1114, 3922, 3074, 540, 2139, 2359, 3681, 543, 2709, 513, 1455, 2666, 585, 11407, 269, 634, 6069, 4834, 31693, 519, 2243, 5817, 1082, 27900, 1472, 2359, 3664, 538, 5726, 281, 1018, 610, 945, 568, 12595, 267, 875, 267, 543, 547, 1018, 6708, 286, 1284, 5635, 875, 2359, 3664, 1131, 2693, 581, 9763, 896, 1614, 4998, 2213, 1871, 1949, 281, 3235, 12510, 878, 5726, 267, 799, 6663, 547, 8190, 9265, 282, 1007, 5726, 267, 799, 15109, 602, 9265, 666, 1152, 581, 12873, 952, 621, 2640, 3425, 282, 543, 2366, 1304, 626, 5726, 267, 799, 6663, 693, 6922, 2358, 7092, 585, 2366, 1304, 7919, 269, 1284, 9414, 519, 10626, 540, 519, 5943, 676, 7311, 621, 547, 2013, 2090, 5473, 12362, 9813, 2249, 267, 17370, 843, 532, 267, 543, 512, 15577, 10122, 269, 1635, 1818, 1871, 1949, 543, 741, 4539, 538, 2259, 8763, 267, 519, 5943, 16881, 9840, 593, 29653, 5726, 2152, 267, 543, 1264, 906, 10952, 1167, 27641, 4485, 827, 5837, 7744, 269, 1284, 3494, 26819, 532, 519, 4295, 1871, 6898, 593, 799, 5726, 3664, 616, 1759, 786, 1683, 606, 3606, 1907, 547, 1174, 543, 2232, 5726, 7526, 269, 0, 763, 3427, 5253, 16958, 11752, 593, 18242, 20456, 2598, 4533, 687, 729, 13950, 676, 674, 10064, 689, 5437, 476, 279, 628, 998, 5412, 476, 1724, 628, 998, 513, 476, 736, 18826, 2228, 18102, 269, 634, 5619, 729, 2366, 547, 782, 24700, 2026, 5665, 1126, 6484, 3292, 547, 5531, 1344, 593, 519, 9165, 540, 519, 3761, 5832, 21463, 543, 1153, 7594, 4238, 1282, 1153, 1032, 476, 1708, 272, 268, 2420, 563, 763, 12426, 547, 3427, 17227, 543, 18043, 5623, 2882, 519, 476, 1001, 280, 12426, 547, 3427, 17227, 282, 513, 10855, 2689, 540, 519, 22340, 12426, 547, 3427, 9886, 1982, 282, 513, 2689, 540, 3370, 1382, 593, 3484, 547, 1153, 2094, 476, 1001, 271, 282, 543, 513, 1305, 540, 11042, 609, 1153, 1426, 2733, 12781, 563, 763, 476, 1001, 275, 12426, 9291, 3964, 513, 11638, 5025, 11765, 17130, 4403, 547, 1683, 11558, 543, 4287, 585, 772, 2529, 269, 4972, 540, 11982, 630, 4785, 6395, 264, 3536, 13950, 676, 519, 5253, 543, 12594, 6796, 630, 293, 10064, 1040, 634, 17130, 10414, 568, 3743, 585, 10442, 543, 5464, 22340, 20161, 3292, 547, 2327, 602, 998, 519, 3892, 540, 6469, 6694, 2472, 267, 519, 3292, 1489, 519, 772, 2529, 269, 3484, 5823, 543, 3565, 547, 519, 1072, 543, 1134, 5630, 540, 2043, 538, 519, 2136, 2276, 269, 901, 3791, 5993, 1867, 547, 6837, 6257, 519, 2238, 540, 519, 4305, 4403, 538, 476, 1001, 278, 563, 24066, 6672, 540, 23227, 566, 18768, 547, 7736, 19974, 12017, 518, 630, 3633, 17248, 2567, 15937, 3955, 574, 16214, 7797, 454, 1607, 1353, 1765, 17769, 676, 519, 476, 1001, 271, 4132, 12594, 2920, 1765, 339, 3949, 5499, 2994, 547, 1439, 6689, 14000, 543, 1426, 22584, 563, 763, 476, 1001, 271, 4132, 12594, 556, 10461, 1436, 3177, 7616, 547, 1449, 5499, 2994, 547, 1439, 6689, 14000, 543, 1426, 22584, 563, 763, 476, 1001, 275, 12426, 9291, 3964, 513, 11638, 5025, 11765, 17130, 4403, 547, 1683, 11558, 543, 4287, 585, 772, 2529, 269, 4972, 540, 11982, 630, 4785, 6395, 264, 3536, 13950, 676, 519, 5253, 543, 12594, 6796, 630, 293, 10064, 1040, 901, 2034, 5993, 1867, 547, 6837, 6257, 519, 2238, 540, 519, 4305, 4403, 538, 476, 1001, 276, 563, 1607, 1353, 10311, 513, 476, 1220, 280, 2079, 540, 519, 8770, 543, 1426, 1895, 1543, 540, 519, 22340, 16639, 6035, 543, 9447, 998, 8549, 6484, 6351, 3292, 269, 898, 12116, 519, 4132, 543, 16989, 5516, 30839, 5358, 630, 290, 3722, 17025, 1070, 519, 2155, 617, 640, 26929, 531, 5253, 5358, 630, 5425, 17025, 1070, 519, 5253, 17392, 5358, 593, 4095, 1763, 969, 725, 630, 293, 7894, 7644, 1070, 543, 634, 17073, 5253, 26859, 5358, 630, 307, 9128, 4338, 264, 538, 16642, 1032, 630, 293, 312, 264, 476, 1001, 275, 543, 519, 2817, 3427, 700, 4875, 5358, 630, 10064, 10861, 264, 538, 1153, 1032, 630, 306, 312, 264, 476, 1001, 274, 268, 1001, 275, 269, 634, 1353, 849, 6059, 519, 13245, 14856, 12039, 630, 4047, 296, 264, 8464, 896, 519, 16777, 296, 268, 1001, 271, 543, 519, 16777, 296, 268, 1220, 276, 18176, 1949, 585, 1142, 1982, 779, 2640, 563, 1607, 1101, 5993, 1867, 547, 6837, 6257, 519, 2238, 540, 519, 11638, 5025, 11765, 17130, 4403, 538, 476, 1001, 275, 563, 1607, 1867, 3096, 8579, 9781, 2553, 547, 2708, 519, 2078, 1063, 1463, 13995, 2773, 543, 1808, 3557, 2853, 267, 5275, 1655, 2853, 543, 3246, 7840, 585, 2276, 547, 946, 950, 3384, 741, 23120, 26094, 12697, 563, 293, 8816, 543, 10448, 4616, 568, 606, 1271, 5057, 540, 513, 7059, 2732, 5812, 609, 519, 26678, 13832, 585, 4892, 543, 519, 5253, 6651, 30958, 269, 674, 10064, 8992, 519, 2799, 4616, 540, 5613, 543, 5388, 267, 538, 782, 3029, 1107, 4195, 267, 13792, 267, 27574, 267, 12015, 543, 23238, 267, 998, 922, 6484, 6351, 3292, 269, 0, 25284, 2719, 538, 595, 12524, 2143, 21038, 585, 6176, 5303, 630, 3951, 264, 585, 476, 1708, 272, 7939, 6437, 814, 1044, 3144, 689, 519, 17555, 29550, 4013, 3896, 543, 4843, 585, 519, 8668, 1053, 269, 1280, 1576, 3009, 267, 1576, 2012, 267, 1297, 540, 17099, 585, 513, 1576, 543, 824, 10325, 1644, 1344, 267, 798, 3643, 2407, 19496, 5396, 2022, 2016, 2630, 563, 2690, 6176, 5303, 476, 273, 526, 12054, 10325, 543, 922, 5396, 267, 798, 3643, 8668, 476, 273, 526, 12054, 476, 1708, 272, 7939, 10325, 269, 634, 2143, 21038, 540, 5752, 538, 524, 8047, 568, 607, 5205, 563, 268, 1677, 5432, 1047, 609, 595, 5752, 21437, 563, 268, 1677, 1020, 3292, 538, 595, 1210, 2596, 21437, 563, 268, 1677, 1020, 3292, 538, 595, 1210, 14249, 563, 268, 1677, 1020, 3156, 538, 595, 1210, 12673, 267, 31452, 267, 3252, 563, 268, 1677, 1020, 3156, 538, 595, 1210, 3889, 563, 268, 1677, 1020, 3156, 538, 595, 1210, 3758, 4393, 563, 8266, 540, 31401, 912, 9616, 281, 634, 2978, 14357, 568, 4397, 547, 1374, 2042, 1759, 593, 519, 3584, 7396, 269, 634, 22410, 4927, 711, 581, 11658, 547, 519, 3732, 6901, 2966, 563, 268, 594, 23860, 6898, 267, 12427, 267, 7215, 454, 268, 3375, 6194, 21437, 281, 952, 268, 12828, 267, 3893, 334, 267, 6467, 30924, 267, 2736, 9762, 514, 826, 454, 268, 10753, 3591, 281, 585, 267, 1247, 267, 798, 19351, 850, 454, 268, 1488, 7590, 281, 476, 272, 291, 543, 476, 273, 291, 267, 11638, 8820, 14249, 267, 21986, 531, 454, 268, 5899, 902, 281, 4238, 454, 268, 12793, 281, 1289, 267, 2132, 267, 8429, 6724, 676, 630, 7407, 267, 4704, 1070, 8429, 14249, 547, 1599, 563, 268, 7313, 26262, 281, 7313, 26262, 547, 3252, 267, 1488, 7590, 267, 18360, 902, 267, 7313, 26262, 547, 7313, 26262, 267, 26275, 540, 7313, 26262, 454, 268, 23113, 281, 715, 6479, 23113, 267, 7313, 26262, 547, 23113, 267, 1488, 7590, 540, 23113, 543, 1133, 687, 563, 268, 28567, 281, 2542, 543, 1603, 267, 11711, 31452, 267, 3758, 4238, 267, 4351, 1569, 267, 16267, 1463, 1161, 563, 26796, 12032, 540, 519, 1576, 267, 519, 1053, 786, 581, 2111, 547, 454, 7476, 7759, 540, 30414, 7033, 564, 762, 16103, 267, 10434, 547, 4383, 7300, 338, 269, 8281, 630, 328, 19138, 264, 585, 5767, 21038, 267, 4626, 564, 1963, 543, 10311, 689, 17555, 1133, 643, 630, 5591, 589, 1091, 267, 3143, 21584, 338, 994, 268, 23227, 622, 1702, 593, 595, 5752, 21437, 563, 268, 3763, 3292, 538, 595, 1210, 2596, 21437, 563, 268, 3763, 3292, 538, 595, 1210, 14249, 563, 268, 3763, 3156, 538, 595, 1210, 12673, 267, 31452, 267, 3252, 563, 268, 3763, 3156, 538, 595, 1210, 3889, 563, 268, 3763, 3156, 538, 595, 1210, 3758, 4393, 563, 268, 1234, 9047, 1320, 732, 10937, 267, 14691, 538, 595, 267, 10228, 2160, 4964, 267, 5822, 9990, 267, 476, 1001, 277, 563, 268, 918, 1716, 662, 534, 267, 645, 15030, 543, 681, 527, 2151, 267, 291, 8160, 267, 634, 595, 14691, 1893, 267, 5822, 9990, 267, 21942, 4065, 267, 476, 1001, 276, 563, 268, 6754, 1546, 527, 601, 543, 29542, 1546, 527, 601, 267, 595, 1215, 547, 5358, 609, 606, 4985, 547, 595, 10030, 267, 661, 12915, 7160, 267, 21942, 4065, 267, 476, 1001, 279, 563, 268, 962, 1662, 342, 656, 20855, 564, 22894, 267, 2913, 721, 595, 267, 476, 1704, 628, 9990, 267, 22680, 289, 23549, 267, 476, 1708, 271, 563, 268, 1635, 1258, 590, 269, 717, 2714, 325, 3072, 267, 968, 306, 15939, 4548, 20895, 540, 7869, 543, 10819, 540, 14691, 609, 595, 5608, 17755, 3863, 6953, 650, 4065, 267, 476, 1960, 277, 563, 268, 623, 2784, 760, 1546, 344, 267, 2494, 553, 13850, 9655, 267, 8950, 26386, 543, 14691, 538, 595, 267, 5822, 454, 268, 9990, 267, 10228, 2160, 4964, 267, 476, 1001, 274, 563, 268, 1323, 7534, 3619, 601, 543, 31828, 599, 14600, 2145, 267, 8950, 26386, 543, 14691, 538, 595, 267, 476, 272, 560, 9990, 267, 21942, 4065, 267, 476, 1001, 274, 563, 2690, 2143, 21038, 540, 782, 824, 5396, 540, 6176, 5303, 267, 476, 1708, 272, 7939, 6437, 798, 3643, 8668, 476, 273, 526, 12054, 1641, 11382, 629, 4926, 585, 476, 1708, 272, 7939, 563, 2690, 782, 6176, 5303, 2164, 267, 3643, 17555, 2160, 8668, 782, 19496, 2164, 1463, 3095, 269, 0, 1607, 3018, 267, 476, 7918, 1296, 3516, 267, 5437, 476, 2420, 267, 476, 3422, 278, 267, 519, 2136, 8315, 8232, 7027, 796, 29434, 3585, 7550, 22375, 476, 26237, 269, 901, 6571, 6322, 547, 3142, 827, 968, 320, 1175, 543, 9434, 4708, 2223, 538, 519, 5664, 5101, 1739, 519, 14520, 4303, 2782, 2947, 3275, 4505, 267, 1141, 5840, 7307, 547, 7001, 8513, 689, 922, 12543, 538, 513, 2112, 540, 1582, 12413, 1619, 269, 22375, 476, 26237, 814, 1044, 4749, 3765, 638, 6838, 676, 5840, 779, 1033, 847, 832, 267, 945, 3409, 602, 621, 7569, 602, 5840, 11198, 689, 782, 519, 11182, 621, 9676, 543, 602, 621, 3112, 2721, 1007, 6302, 269, 1717, 267, 513, 1697, 3656, 7664, 543, 2079, 540, 519, 6571, 2982, 602, 519, 3169, 6587, 6585, 3020, 563, 2304, 4661, 602, 814, 1044, 2322, 4464, 676, 1033, 847, 832, 540, 5840, 568, 602, 519, 8360, 968, 514, 611, 332, 1170, 2225, 540, 519, 11601, 540, 8513, 676, 2112, 892, 538, 22375, 476, 26237, 779, 840, 600, 1076, 840, 11079, 5840, 689, 8066, 5196, 1022, 8513, 621, 9676, 538, 2112, 269, 8616, 267, 2687, 547, 606, 4139, 7040, 540, 10456, 630, 2975, 297, 264, 15194, 267, 840, 3711, 956, 540, 13477, 540, 8315, 21368, 616, 1875, 1532, 4193, 543, 1152, 519, 1766, 894, 6810, 1671, 327, 9068, 3656, 13800, 563, 1607, 15194, 814, 1044, 11843, 936, 689, 519, 13477, 540, 8315, 547, 519, 2136, 8315, 269, 9717, 602, 519, 1951, 1123, 338, 540, 22375, 476, 26237, 5116, 713, 8360, 538, 519, 840, 600, 1076, 607, 10353, 547, 519, 1766, 894, 9433, 2630, 621, 267, 519, 1951, 1123, 338, 14284, 8380, 1022, 10238, 1431, 593, 5840, 689, 1373, 13886, 547, 1007, 6302, 2250, 519, 476, 3707, 280, 6186, 626, 823, 3515, 269, 5015, 267, 3486, 1876, 2306, 513, 11984, 1063, 519, 11601, 540, 8513, 998, 14699, 8957, 1582, 12413, 1619, 269, 15537, 5576, 933, 10964, 267, 513, 5449, 7022, 540, 519, 15096, 297, 267, 7150, 602, 267, 968, 1492, 5013, 540, 519, 4873, 476, 3422, 278, 2048, 306, 1460, 4303, 2782, 685, 6542, 602, 5840, 2746, 539, 1219, 13208, 1996, 519, 3463, 543, 946, 540, 3196, 1996, 1200, 1848, 25392, 713, 267, 5576, 933, 10964, 29499, 602, 267, 968, 288, 1533, 1496, 29994, 316, 9117, 538, 1876, 995, 3635, 540, 922, 1318, 540, 1582, 12413, 1619 ]

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

[ 5594, 1447, 14547, 1004, 945, 941, 3833, 11235, 547, 1118, 602, 15093, 269, 670, 841, 7723, 729, 3507, 894, 540, 7319, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 2153, 776, 24601, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 5375, 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, 0, 7170, 281, 1215, 547, 16259, 12465, 8828, 24627, 595, 1389, 585, 28155, 28057, 692, 306, 4822, 24627, 595, 1389, 616, 513, 2757, 11600, 5293, 1524, 998, 5481, 538, 519, 7013, 2136, 2276, 269, 1452, 25394, 1205, 741, 2012, 1317, 789, 616, 2241, 267, 2653, 3562, 2173, 820, 10346, 602, 666, 3049, 513, 15624, 1282, 2053, 540, 14700, 610, 824, 12469, 269, 901, 14392, 786, 3391, 596, 998, 8600, 543, 4687, 707, 1378, 8828, 24627, 595, 1389, 607, 851, 540, 513, 9568, 8323, 4674, 780, 2162, 23123, 1384, 265, 476, 275, 11680, 782, 26928, 7912, 454, 265, 476, 273, 11680, 3043, 4006, 454, 265, 476, 272, 7484, 10448, 3282, 454, 265, 476, 272, 7484, 5144, 454, 265, 476, 275, 5798, 454, 265, 476, 274, 18324, 9398, 11256, 8869, 454, 265, 476, 272, 23188, 6070, 454, 265, 476, 273, 18324, 9398, 29877, 1349, 630, 28436, 994, 265, 18120, 29963, 4006, 610, 15470, 532, 585, 23732, 630, 28436, 2020, 2162, 4675, 15533, 2877, 1384, 265, 17186, 532, 26633, 454, 265, 25732, 11680, 543, 838, 9398, 454, 265, 11272, 3575, 518, 610, 31953, 454, 265, 1975, 520, 3121, 454, 265, 631, 4428, 514, 17646, 610, 14735, 31781, 454, 265, 15346, 532, 24646, 454, 265, 1325, 26891, 23240, 610, 4859, 11149, 585, 6283, 692, 2162, 5153, 476, 272, 281, 20283, 2659, 23123, 543, 4675, 15533, 454, 28444, 675, 596, 723, 3388, 596, 991, 1354, 4358, 519, 5986, 1184, 269, 11109, 782, 5820, 5423, 2306, 519, 11544, 1184, 5488, 543, 23704, 269, 17677, 27902, 602, 596, 723, 2614, 7727, 547, 1118, 2789, 10627, 2583, 952, 2556, 780, 2162, 5153, 476, 273, 281, 2776, 17742, 744, 1597, 543, 16721, 623, 753, 454, 7093, 17742, 14089, 547, 476, 12573, 13790, 630, 12293, 9180, 1040, 13983, 848, 544, 4428, 514, 512, 1231, 610, 14735, 31781, 1210, 7423, 610, 1875, 22496, 10936, 269, 1403, 1818, 7484, 31817, 267, 2015, 16298, 519, 3443, 609, 1957, 13274, 619, 585, 4443, 30749, 543, 3892, 780, 2162, 5153, 476, 274, 281, 28799, 16959, 23123, 454, 1103, 513, 1804, 12826, 267, 9192, 7912, 267, 3043, 4006, 267, 11256, 8869, 267, 543, 6070, 269, 2422, 513, 31953, 610, 3167, 3575, 518, 547, 11100, 1134, 2394, 972, 616, 1100, 804, 7927, 780, 2162, 5153, 476, 275, 281, 5410, 22911, 23123, 454, 11754, 519, 10448, 3282, 267, 5144, 267, 5798, 267, 543, 29877, 1349, 630, 604, 1210, 264, 883, 519, 3819, 7848, 269, 19468, 7444, 693, 1101, 267, 7930, 2810, 3432, 2394, 4402, 3587, 5347, 543, 27598, 269, 2142, 6297, 711, 547, 936, 332, 1460, 282, 713, 949, 1291, 547, 10053, 267, 9157, 25394, 780, 2162, 5153, 476, 276, 281, 20518, 1393, 645, 2660, 4634, 569, 7324, 623, 753, 454, 8794, 513, 22883, 3121, 267, 15814, 519, 4402, 14961, 1851, 519, 6067, 1078, 31781, 269, 19130, 1142, 3296, 5111, 1079, 22188, 2407, 547, 1450, 4055, 585, 8375, 269, 3911, 26743, 856, 519, 25568, 9900, 609, 519, 22883, 3121, 585, 7833, 5920, 780, 2162, 5153, 476, 277, 281, 645, 1136, 5384, 454, 289, 820, 25394, 610, 7484, 31817, 2687, 547, 2450, 1384, 265, 1280, 3044, 13355, 7484, 31817, 281, 27106, 585, 476, 1240, 268, 736, 3764, 610, 2394, 21491, 1157, 17332, 2501, 856, 2973, 563, 265, 1280, 3677, 25394, 281, 27106, 585, 476, 1789, 268, 3374, 3764, 610, 2394, 11344, 6960, 543, 513, 21491, 1157, 17332, 2501, 856, 2973, 780, 16605, 606, 3750, 593, 873, 2509, 519, 1439, 540, 519, 11256, 942, 547, 2061, 8781, 780, 2162, 5153, 476, 278, 281, 15346, 532, 6713, 454, 5629, 11273, 8499, 267, 4894, 25394, 689, 519, 14089, 269, 14190, 9023, 538, 519, 31781, 585, 476, 276, 268, 1015, 3764, 267, 1287, 4483, 5196, 5911, 986, 4242, 547, 3579, 4625, 269, 5269, 2386, 25394, 616, 7357, 22799, 1354, 4946, 15470, 532, 610, 32314, 4006, 780, 2162, 5153, 476, 279, 281, 5463, 28672, 630, 18893, 1308, 994, 2252, 5551, 267, 20057, 548, 13324, 4006, 593, 1283, 540, 4652, 15543, 539, 25394, 610, 10612, 9053, 15470, 532, 5196, 7484, 31817, 585, 3773, 29284, 269, 5901, 23598, 8766, 2065, 865, 2200, 5749, 1405, 24906, 593, 11991, 30996, 880, 906, 780, 2162, 5153, 476, 280, 281, 13268, 720, 543, 13255, 454, 310, 1905, 22799, 25394, 14350, 538, 11956, 23240, 610, 4558, 23385, 1927, 538, 2011, 2389, 697, 11149, 269, 22443, 15004, 5693, 609, 4266, 1500, 543, 9115, 3330, 269, 5548, 1853, 547, 2199, 24181, 267, 1426, 8492, 267, 610, 2146, 7740, 1141, 1346, 4299, 676, 17160, 610, 824, 12469, 666, 2972, 4195, 1532, 8898, 5370, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7617, 1533, 23119, 689, 1034, 540, 17160, 888, 268, 4639, 19377, 454, 268, 31579, 541, 21423, 454, 1103, 799, 8664, 540, 31579, 21531, 8518, 1705, 519, 5689, 11985, 26949, 728, 1491, 1747, 888, 7617, 1533, 4991, 17160, 538, 5162, 3275, 888, 268, 4639, 19377, 454, 268, 20474, 24385, 340, 454, 5560, 1040, 20474, 24385, 340, 454, 1103, 799, 5211, 5127, 568, 31410, 329, 4954, 328, 5211, 6532, 4092, 888, 15152, 799, 1826, 540, 2067, 10898, 267, 798, 2349, 11170, 1841, 2049, 888, 2691, 666, 513, 9651, 1831, 513, 9568, 888, 23744, 513, 9651, 543, 513, 9568, 723, 519, 1482, 2495, 269, 5637, 540, 891, 2014, 2800, 547, 1004, 543, 3959, 269, 1879, 513, 9651, 4386, 593, 513, 1804, 4336, 543, 4386, 10393, 267, 621, 3123, 2800, 547, 513, 1804, 2551, 269, 898, 568, 1287, 1572, 513, 9568, 563, 3963, 616, 891, 811, 16767, 538, 519, 22615, 28569, 543, 538, 519, 5087, 3887, 6141, 3148, 540, 3127, 888, 295, 2711, 28569, 543, 715, 9950, 269, 554, 11035, 3148, 616, 13091, 12155, 2127, 269, 898, 568, 1813, 547, 519, 1249, 602, 4095, 6676, 568, 3001, 5087, 1189, 693, 519, 2557, 540, 476, 272, 4699, 829, 1032, 269, 634, 4095, 6676, 2458, 1938, 609, 519, 20195, 22057, 6676, 267, 609, 519, 1267, 16767, 2049, 2059, 519, 22615, 18885, 9095, 563, 1432, 616, 519, 2596, 4170, 585, 519, 3898, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 8828, 2276, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 17138, 281, 4197, 519, 16338, 9737, 634, 1143, 543, 16183, 1143, 692, 763, 1143, 543, 19473, 1143, 616, 1079, 1713, 10952, 7158, 602, 1004, 3180, 3823, 519, 6228, 610, 1875, 7721, 14571, 540, 2696, 610, 10971, 269, 901, 5850, 786, 1683, 606, 538, 3829, 7778, 540, 1312, 2035, 267, 4543, 596, 1174, 741, 3604, 5693, 780, 1262, 3721, 476, 272, 281, 16294, 634, 1143, 12533, 763, 1143, 568, 519, 3661, 538, 835, 610, 811, 24587, 267, 945, 3335, 4865, 10305, 971, 607, 9631, 23036, 7220, 630, 718, 268, 3104, 532, 1070, 9631, 30876, 582, 775, 630, 684, 15905, 1379, 1070, 13919, 267, 552, 1181, 1275, 267, 543, 5876, 269, 1452, 24587, 949, 581, 22885, 8335, 2066, 1585, 10764, 282, 2705, 267, 789, 782, 2671, 519, 8984, 540, 1373, 2123, 9988, 5827, 540, 9117, 1369, 519, 1158, 269, 6206, 9133, 281, 5457, 602, 519, 1235, 3494, 538, 513, 2362, 1379, 13057, 5837, 3741, 543, 2067, 4031, 780, 1262, 3721, 476, 273, 281, 25826, 11683, 2622, 9671, 687, 262, 634, 2065, 27801, 338, 12533, 6624, 2101, 10764, 1472, 519, 1158, 910, 8567, 267, 5771, 267, 17194, 267, 31881, 11297, 267, 543, 1866, 910, 3490, 741, 10752, 593, 519, 626, 10054, 827, 10143, 9525, 538, 1480, 1272, 543, 519, 7122, 781, 5137, 269, 1635, 1620, 891, 3909, 5380, 267, 596, 666, 9787, 875, 3309, 4529, 4612, 543, 2259, 519, 2065, 4978, 269, 10842, 5202, 281, 3194, 1142, 4984, 14350, 547, 10146, 922, 2189, 7664, 540, 5601, 4433, 264, 543, 1644, 2853, 780, 1262, 3721, 476, 274, 281, 21302, 14803, 3701, 585, 634, 1143, 12533, 15703, 7440, 1489, 519, 2065, 16752, 267, 1519, 14421, 1670, 7440, 630, 324, 3052, 1421, 918, 15401, 15328, 332, 1670, 21261, 267, 2274, 30519, 714, 781, 1230, 1154, 1890, 21261, 1070, 7658, 1670, 7440, 630, 324, 3052, 1421, 5071, 21261, 267, 20963, 6874, 12941, 21261, 1070, 23835, 1670, 7440, 630, 324, 3052, 1421, 1323, 1088, 332, 781, 13115, 1670, 21261, 267, 29439, 26075, 262, 570, 2784, 655, 1046, 21261, 1070, 543, 23913, 7440, 630, 324, 3052, 1421, 13414, 267, 7793, 6291, 1040, 25800, 3054, 609, 891, 7440, 547, 1732, 5660, 1946, 930, 2043, 9772, 519, 2065, 588, 1734, 780, 1262, 3721, 476, 275, 281, 16294, 16183, 1143, 12533, 288, 1492, 1143, 4016, 547, 519, 9000, 540, 3661, 538, 1022, 10971, 610, 24587, 269, 898, 1281, 711, 8209, 27167, 513, 3409, 602, 1100, 10971, 2291, 855, 2864, 18575, 25949, 2509, 16750, 6811, 2394, 6190, 2963, 568, 4843, 269, 2368, 19473, 1235, 1522, 2697, 607, 989, 333, 8251, 267, 14344, 10462, 827, 2436, 24587, 2291, 267, 1247, 1866, 949, 7682, 28594, 8251, 19473, 1143, 267, 19101, 17046, 1702, 602, 1100, 10971, 2291, 269, 6206, 9133, 281, 25506, 602, 19473, 1143, 4564, 513, 8552, 540, 5784, 7282, 519, 10171, 610, 7872, 540, 10971, 262, 6228, 780, 1262, 3721, 476, 276, 281, 10812, 7352, 7724, 540, 16183, 1143, 12533, 2467, 616, 1114, 2010, 540, 19473, 1143, 267, 799, 1331, 17697, 5288, 8763, 19473, 1143, 267, 989, 333, 8251, 19473, 1143, 5288, 28594, 8251, 19473, 1143, 267, 543, 2178, 19473, 1143, 5288, 4617, 19473, 1143, 269, 1955, 14032, 19473, 1235, 3668, 6857, 2219, 827, 5601, 4433, 5148, 8763, 19473, 1235, 8362, 7947, 519, 2856, 540, 10971, 1813, 547, 13385, 2963, 269, 3397, 333, 8251, 19473, 1235, 2226, 972, 568, 13385, 2963, 547, 6166, 2901, 519, 1143, 610, 19473, 1143, 267, 6466, 28594, 8251, 19473, 1235, 3409, 22979, 602, 1100, 10971, 2291, 269, 16200, 19473, 1143, 29102, 602, 10971, 9090, 798, 711, 2291, 267, 1247, 4617, 19473, 1143, 5267, 1152, 771, 10964, 3971, 1510, 6207, 24677, 269, 10842, 5202, 281, 31385, 1142, 1826, 547, 2744, 5813, 883, 8795, 2157, 540, 7029, 543, 24235, 1851, 19473, 1235, 780, 1262, 3721, 476, 277, 281, 6333, 14803, 3701, 18830, 634, 1143, 12533, 13349, 1843, 687, 547, 519, 2065, 16752, 7854, 519, 1966, 540, 9409, 630, 6011, 7092, 543, 5837, 859, 2812, 30598, 609, 606, 782, 27703, 995, 267, 1649, 5271, 565, 550, 25976, 1070, 9266, 29927, 538, 3909, 5931, 267, 519, 6456, 1145, 4661, 630, 23896, 532, 1946, 513, 15962, 5601, 1131, 2611, 10703, 4705, 689, 8103, 1070, 543, 519, 896, 323, 20986, 5098, 630, 8010, 532, 602, 12170, 1239, 3112, 20068, 1947, 6961, 519, 6228, 540, 5601, 4433, 26895, 9861, 5432, 609, 891, 4831, 1173, 3701, 2636, 585, 513, 1134, 25454, 8223, 540, 519, 7521, 4478, 519, 1143, 543, 19473, 1143, 780, 1262, 3721, 476, 278, 281, 18918, 538, 21727, 995, 15511, 12533, 2691, 7234, 519, 1143, 543, 19473, 1143, 267, 2327, 16614, 2792, 676, 6947, 18906, 1947, 267, 6998, 1930, 25804, 2055, 267, 9319, 16041, 1893, 267, 543, 11589, 707, 4555, 9350, 569, 269, 1635, 5807, 16268, 5188, 267, 649, 666 ]

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

[ 2127, 563, 305, 1846, 723, 835, 1292, 2601, 585, 1373, 23487, 539, 610, 18901, 540, 538, 519, 2250, 5553, 543, 713, 568, 1317, 789, 3262, 2068, 269, 589, 2068, 538, 519, 2250, 1572, 519, 3109, 2669, 610, 519, 11164, 4577, 20575, 267, 729, 10299, 676, 14148, 799, 941, 1102, 6479, 609, 7904, 553, 267, 543, 1317, 540, 713, 476, 1839, 2929, 1004, 829, 1639, 538, 519, 5664, 12698, 563, 3086, 12997, 267, 606, 12176, 540, 519, 2068, 666, 581, 15286, 2094, 649, 723, 1631, 513, 1732, 1620, 540, 519, 2068, 543, 875, 547, 2061, 621, 269, 681, 1846, 2221, 666, 798, 3262, 2068, 1869, 267, 543, 3976, 649, 723, 547, 957, 5612, 547, 2057, 23588, 563, 2252, 596, 1294, 14148, 2713, 543, 9960, 707, 10450, 267, 596, 1058, 581, 6161, 540, 713, 2783, 2094, 3731, 25645, 2068, 1572, 682, 696, 2214, 10098, 3974, 568, 519, 1034, 1455, 547, 2049, 563, 21946, 3000, 7578, 568, 1776, 2068, 602, 596, 666, 3489, 952, 596, 8532, 1216, 610, 1426, 602, 616, 13572, 676, 14148, 269, 1403, 1004, 616, 6534, 547, 3731, 5323, 25940, 610, 3731, 10729, 267, 789, 666, 581, 13572, 609, 519, 2068, 1572, 554, 656, 8785, 267, 543, 849, 713, 2068, 666, 581, 10299, 998, 3731, 11116, 269, 6271, 2068, 568, 1572, 552, 2275, 10008, 799, 568, 513, 1360, 1455, 23588, 1851, 519, 3731, 2551, 543, 13572, 1216, 543, 1426, 1223, 581, 513, 2707, 540, 3968, 1851, 3425, 563, 4910, 1830, 281, 4945, 1934, 585, 811, 9623 ]

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

[ 513, 10304, 1533, 269, 634, 4182, 781, 1514, 3354, 1062, 729, 9450, 547, 1683, 10304, 585, 519, 1004, 834, 5228, 519, 524, 2784, 548, 547, 519, 18205, 1701, 634, 23267, 2229, 849, 3084, 1242, 1883, 6080, 676, 8380, 873, 896, 1857, 1852, 269, 634, 3084, 1242, 6080, 3769, 519, 7813, 540, 4789, 267, 519, 5755, 15183, 267, 519, 4401, 22391, 2420, 281, 543, 5374, 2872, 267, 519, 7841, 1811, 267, 543, 519, 1854, 9535, 2872, 269, 4014, 519, 23267, 2229, 17388, 547, 11177, 519, 2136, 8003, 781, 4346, 267, 2175, 4824, 2370, 269, 681, 566, 532, 543, 824, 29053, 8060, 4797, 269, 634, 2136, 8003, 22666, 8185, 689, 519, 2136, 2276, 269, 13207, 710, 540, 519, 10504, 269, 2622, 2782, 4083, 20177, 519, 12556, 540, 519, 3703, 7276, 267, 1498, 519, 2136, 8003, 1185, 13175, 3138, 657, 2287, 1852, 936, 922, 10504, 4505, 269, 769, 476, 4350, 272, 267, 519, 2136, 8003, 11292, 7115, 1369, 519, 10504, 547, 5245, 267, 4516, 267, 519, 9721, 5131, 3557, 267, 1715, 10215, 267, 1715, 11398, 1633, 267, 543, 3162, 4000, 269, 634, 2477, 2968, 519, 1101, 2818, 540, 519, 20448, 540, 8315, 267, 606, 7681, 540, 2477, 543, 29444, 630, 852, 1572, 18246, 11182, 264, 602, 16309, 519, 10504, 269, 2991, 2622, 2782, 4083, 267, 519, 9082, 540, 4000, 543, 5607, 2799, 741, 7569, 585, 7115, 269, 634, 2136, 8003, 1223, 1100, 3476, 1832, 1852, 540, 922, 10125, 269, 769, 476, 3707, 278, 267, 3127, 543, 9031, 2968, 4830, 6082, 1369, 519, 20448, 269, 769, 476, 3707, 279, 267, 22391, 2537, 281, 9919, 14125, 630, 852, 16444, 20092, 264, 2968, 606, 4830, 20448, 2197, 269, 2334, 1482, 1032, 267, 8738, 2742, 630, 852, 27060, 264, 6913, 7115, 7146, 2451, 519, 20448, 269, 769, 476, 3707, 280, 267, 519, 9721, 5131, 3557, 10294, 3294, 519, 4830, 6243, 540, 8581, 543, 849, 2451, 519, 20448, 269, 2334, 1482, 1032, 267, 1715, 11398, 1633, 2968, 513, 11662, 540, 4516, 269, 3162, 4000, 729, 711, 513, 4759, 540, 519, 20448, 689, 476, 3422, 272, 547, 476, 1960, 275, 1317, 519, 2136, 8003, 1185, 22309, 922, 7292, 4507, 269, 2349, 2931, 1500, 909, 513, 5354, 540, 519, 2551, 538, 3162, 4000, 267, 855, 16543, 6417, 519, 2229, 269, 4746, 267, 519, 3162, 3979, 2229, 1185, 606, 4013, 3609, 540, 7292, 17478, 1572, 32044, 269, 3162, 4000, 556, 14765, 1441, 519, 20448, 950, 621, 8694, 922, 32044, 543, 5795, 17051, 3152, 5639, 538, 519, 2229, 269, 4595, 519, 2038, 476, 4198, 271, 781, 267, 1082, 811, 3703, 22590, 723, 1831, 4830, 6082, 269, 1358, 1331, 5696, 2317, 328, 267, 30259, 267, 19168, 267, 15057, 267, 17111, 267, 5689, 3279, 267, 13280, 267, 14466, 7699, 1715, 19892, 267, 21125, 11866, 267, 20528, 267, 2558, 514, 21059, 543, 18578, 6210, 267, 543, 24063, 269, 769, 476, 3422, 276, 267, 10910, 3941, 807, 630, 852, 25472, 264, 10294, 922, 7115, 689, 519, 2136, 8003, 269, 1703, 267, 607, 538, 3162, 4000, 267, 16543, 6417, 519, 2229, 1256, 1498, 22391, 2190, 281, 17051, 1500, 909, 513, 5354, 540, 519, 2551, 269, 634, 2136, 8003, 1185, 15189, 547, 9886, 10910, 3941, 807, 7115, 2394, 17051, 941, 2016, 513, 3152, 5639, 538, 519, 2229, 269, 769, 476, 2735, 271, 267, 1310, 513, 1279, 6560, 585, 811, 1379, 267, 17051, 6591, 1852, 540, 519, 2229, 267, 543, 519, 2136, 8003, 6444, 10910, 3941, 807, 781, 7115, 269, 10910, 3941, 807, 781, 2012, 729, 4957, 547, 25472, 269, 13575, 267, 519, 3703, 7276, 729, 771, 7171, 539, 538, 606, 1931, 569, 1259, 269, 4107, 4830, 2477, 18423, 538, 519, 20448, 269, 3864, 9322, 269, 2755, 519, 2136, 8003, 729, 8840, 909, 922, 10504, 1282, 519, 2022, 8705, 1296, 267, 824, 6082, 540, 5375, 2342, 8678, 1927, 538, 1585, 3906, 547, 26595, 17215, 543, 20833, 269, 634, 2136, 8003, 729, 26997, 547, 6443, 873, 269, 10801, 1686, 267, 519, 2136, 8003, 1185, 9053, 547, 3251, 856, 540, 3864, 12602, 7721, 1061, 547, 1832, 519, 3666, 540, 1379, 538, 2342, 269, 1635, 11836, 519, 1007, 3906, 267, 519, 2136, 8003, 21787, 621, 1522, 6336, 930, 540, 922, 7115, 543, 5433, 621, 1131, 849, 581, 7432, 922, 1394, 593, 519, 20448, 269, 769, 519, 476, 4198, 271, 781, 267, 519, 2136, 8003, 15189, 547, 6443, 519, 3864, 15021, 543, 13082, 7991, 543, 519, 3864, 26994, 6052, 7991, 22391, 1839, 281, 630, 292, 584, 520, 558, 1040, 4107, 1271, 267, 621, 1705, 711, 6443, 519, 3864, 9483, 7991, 630, 292, 4488, 1040, 901, 7681, 267, 3006, 1572, 519, 3864, 5871, 10369, 267, 729, 1305, 909, 676, 5333, 543, 2947, 824, 6082, 269, 2991, 519, 661, 4488, 4951, 4191, 540, 8011, 532, 267, 519, 2136, 8003, 1305, 909, 519, 3864, 5131, 11780, 5948, 630, 9128, 14011, 264, 609, 3670, 824, 6082, 269, 1809, 661, 10499, 288, 729, 1152, 513, 7646, 1967, 267, 543, 519, 2136, 8003, 2663, 26845, 1540, 922, 30671, 547, 6443, 519, 661, 4488, 269, 769, 519, 1296, 1310, 2622, 2782, 4083, 267, 519, 2136, 8003, 781, 4914, 3609, 729, 5702, 24027, 609, 602, 540, 519, 2136, 2276, 269, 634, 2136, 8003, 8678, 519, 3345, 9533, 15521, 9257, 630, 2793, 15674, 9984, 320, 8878, 19710, 540, 3864, 543, 3345, 1977, 6082, 7146, 10692, 538, 519, 11114, 2782, 630, 4198, 271, 268, 4198, 274, 1040, 769, 5147, 476, 4198, 277, 267, 5527, 3084, 1242, 519, 590, 22222, 22575, 267, 799, 729, 11262, 5631, 676, 519, 3703, 543, 3943, 269, 769, 5239, 267, 5840, 22983, 5527, 267, 922, 10546, 269, 634, 2136, 8003, 543, 5333, 1287, 16091, 5527, 538, 606, 3801, 547, 1427, 820, 519, 12324, 269, 634, 3801, 1705, 711, 8011, 269, 16242, 689, 519, 2136, 2276, 267, 519, 8168, 5742, 267, 543, 519, 2136, 8315, 7142, 519, 2136, 8003, 267, 5333, 267, 543, 5840, 547, 11198, 689, 5527, 269, 22391, 2918, 281, 20271, 894, 2229, 1185, 8120, 547, 1379, 538, 476, 4198, 272, 896, 12736, 8725, 26235, 269, 634, 20271, 2510, 7608, 1034, 540, 519, 2242, 519, 23267, 9549, 1185, 1500, 269, 1635, 476, 4198, 276, 267, 32311, 532, 543, 1034, 824, 29053, 8060, 1185, 8694, 269, 12752, 729, 14762, 267, 6009, 941, 726, 550, 3814, 267, 543, 13848, 941, 1434, 269, 26235, 19622, 538, 476, 4198, 276, 267, 543, 11184, 20900, 3798, 523, 16309, 1864, 607, 6305, 14012, 269, 3798, 523, 759, 11220, 538, 476, 4198, 278, 269, 1261, 1185, 1044, 7494, 22309, 585, 1010, 3375, 602, 519, 2136, 8003, 1058, 6443, 5333, 538, 3843, 547, 28958, 519, 590, 22222, 22575, 538, 476, 4198, 277, 269, 29733, 5839, 17524, 534, 16309, 3798, 523, 269, 634, 3703, 4346, 4797, 547, 4228, 2394, 519, 2038, 476, 3422, 271, 781, 269, 670, 14563, 547, 2087, 519, 4346, 267, 519, 2136, 8003, 4294, 585, 15376, 538, 519, 3864, 9483, 7991, 269, 1635, 11836, 519, 661, 4488, 267, 5839, 17524, 534, 12479, 519, 2136, 8003, 1131, 581, 2111, 547, 4228, 922, 13143, 4123, 269, 1809, 538, 5130, 476, 3422, 274, 267, 519, 2136, 8003, 781, 3498, 729, 15653, 267, 7361, 1317, 540, 11685, 689, 3943, 5518, 8176, 632, 717, 4954, 548, 269, 634, 18349, 729, 513, 14710, 585, 5839, 17524, 534, 269, 2334, 1032, 267, 519, 2229, 729, 695, 2586, 676, 513, 29317, 5473, 519, 23122, 585, 2112, 269, 634, 476, 3422, 275, 9550, 22391, 2767, 281, 4547, 519, 23267, 9549, 1394, 547, 1379, 896, 29733, 14355, 269, 14355, 5185, 20387, 2804, 2042, 269, 634, 2136, 8003, 729, 1104, 532, 2484, 811, 5370, 982, 621, 729, 13143, 532, 267, 543, 922, 4853, 2208, 2557, 729, 1932, 3500, 269, 634, 2136, 8003, 781, 2883, 14425, 695, 17213, 267, 543, 519, 4182, 1185, 547, 10210, 811, 543, 811, 2724, 689, 824, 2477, 543, 3486, 8041, 269, 769, 476, 3422, 277, 267, 519, 2229, 3459, 606, 513, 13831, 640, 1982, 676, 9870, 9204, 543, 8380, 513, 18109, 593, 13848, 543, 5777, 269, 634, 661, 4488, 267, 519, 3864, 15021, 543, 13082, 7991, 267, 543, 20195, 520, 558, 24673, 741, 10324, 8041, 538, 476, 3422, 278, 543, 2968, 1634, 607, 519, 3864, 7991, 630, 4488, 1040, 2334, 1032, 267, 519, 2136, 8003, 729, 1586, 15653, 585, 15376, 538, 519, 10566, 269, 634, 2229, 1821, 2728, 539, 519, 11013, 538, 3210, 547, 519, 3978, 2804, 3510, 269, 769, 519, 476, 3192, 271, 12836, 267, 519, 20271, 894, 9549, 1036, 7134, 1852, 540, 519, 2229, 269, 11977, 1261, 987, 2968, 6305, 14012, 269, 769, 476, 3192, 272, 267, 6876, 729, 6603, 593, 2474, 585, 519, 2136, 8003, 781, 7127, 883, 519, 10566, 269, 634, 2136, 8003, 8678, 519, 10566, 538, 476, 3192, 274, 269, 1809, 11173, 10637, 267, 4492, 22520, 267, 16716, 267, 543, 824, 6927, 3361, 3978, 2042, 585, 519, 22391, 2764, 281, 2229, 269, 5082, 687, 538, 476, 3192, 275, 4547, 519, 23267, 9549, 1394, 547, 1379, 267, 543, 29733, 14355, 1586, 2968, 6305, 14012, 269, 14355, 19622, 538, 476, 3192, 277, 269, 6276, 11910, 698, 7315, 16309, 1864, 607, 6305, 14012, 543, 23267, 9549, 6205, 269, 7043, 29280, 7526, 1063, 23597, 543, 14308, 1218, 538, 8832, 8581, 2968, 513, 3978, 1966, 585, 519, 2136, 8003, 1282, 519, 3735, 476, 3422, 271, 781, 543, 519, 476, 3192, 271, 781, 269, 769, 476, 3422, 280, 267, 519, 2136, 8003, 3459, 11488, 10136, 547, 8832, 8581, 547, 2119, 547, 3247, 27632, 1824, 972, 269, 1809, 519, 5208, 4797, 269, 634, 18633, 3510, 3361, 513, 3126, 540, 2797, 16839, 538, 8832, 8581, 1282, 519, 476, 3192, 271, 781, 269, 634, 2136, 8003, 3964, 1463, 4341, 936, 519, 2197, 267, 1247, 8942, 941, 1500, 547, 1106, 513, 7123, 2229, 538, 799, 23597, 543, 14308, 1218, 3838, 1379, 269, 3509, 1004, 538, 10430, 543, 930, 538, 12986, 18796, 2347, 7115, 689, 519, 2136, 8003, 269, 3509, 1866, 5156, 10430, 543, 12986, 1058, 723, 741, 1378, 9777, 2137, 269, 12846, 1866, 23163, 1100, 2242, 538, 519, 1894, 1063, 10430, 543, 12986, 543, 519, 1964, 540, 519, 2136, 8003, 269, 769, 476, 3192, 280, 267, 519, 3703, 2229, 4847, 519, 1004, 540, 10430, 543, 12986, 547, 8917, 593, 519, 2243, 540, 22391, 3066, 281, 2436, 789, 1058, 723, 741, 1378, 9777, 2137, 269, 634, 17037, 538, 1312, 2127, 8959, 547, 29343, 519, 10661, 540, 519, 9777, 2137, 269, 2334, 7815, 269, 5082, 687, 538, 476, 3192, 280, 8120, 519, 20271, 2510, 547, 1379, 269, 20271, 894, 9549, 6205, 20152, 2334, 7815, 8719, 11910, 698, 7315, 607, 6305, 14012, 269, 2701, 2968, 519, 1101, 4807, 2479, 547, 3180, 519, 5604, 269, 2701, 6039, 607, 6305, 14012, 585, 519, 1985, 476, 9340, 270, 273, 1296, 267, 3476, 982, 1022, 824, 1268, 538, 519, 476, 5002, 271, 781, 269, 1306, 6305, 14012, 267, 2334, 7815, 5249, 547, 2569, 2229, 9525, 538, 519, 4346, 269, 1280, 1383, 267, 519, 2229, 4421, 922, 4690, 538, 1082, 6080, 547, 4357, 4961, 543, 4213, 269, 898, 849, 4421, 5215, 540, 1857, 268, 8027, 4559, 547, 741, 4557, 1218, 267, 5009, 1753, 9562, 269, 769, 1840, 267, 1463, 9204, 941, 4389, 269, 769, 476, 2735, 273, 267, 2334, 7815, 4465, 17192, 585, 1200, 23801, 7829, 540, 513, 4655, 609, 18335, 269, 4595, 476, 8146, 274, 267, 519, 2136, 8003, 814, 12199, 519, 674, 1779, 1633, 11866, 267, 799, 9114, 827, 476, 17168, 5195, 630, 276, 1428, 12919, 264, 7532, 540, 519, 7013, 5032, 540, 18335, 269, 1809, 18335, 814, 1279, 10645, 9562, 540, 519, 10195, 269, 769, 4989, 476, 2735, 273, 267, 14861, 710, 10136, 22983, 543, 13026, 519, 22391, 1789, 281, 674, 1779, 4133, 269, 634, 2136, 8003, 1287, 2366, 10136, 267, 9635, 267, 543, 14742, 269, 3703, 543, 14861, 710, 4229, 10692, 2011, 267, 4262, 267, 543, 2244, 12959, 585, 1852, 540, 519, 10195, 269, 634, 14861, 710, 4229, 1147, 16781, 1229, 547, 519, 2136, 8003, 538, 4873, 476, 2735, 273, 269, 769, 476, 2735, 276, 267, 2334, 7815, 543, 11788, 10579, 12275, 4958, 23575, 294, 14283, 540, 8581, 9896, 519, 17454, 16927, 16194, 15716, 267, 606, 6876, 602, 3964, 606, 28007, 10554, 585, 8832, 8581, 269, 634, 10554, 267, 9967, 540, 8387, 540, 519, 2136, 8003, 543, 8581, 267, 5795, 8581, 606, 28007, 1909, 538, 8832, 8581, 781, 2229, 269, 1635, 519, 4571, 268, 2735, 271, 781, 267, 519, 2136, 8003, 781, 7607, 1185, 4824, 267, 855, 13864, 267, 10637, 267, 543, 824, 2804, 2042, 4797, 269, 4438, 519, 3735, 476, 2735, 271, 781, 267, 13864, 17379, 267, 855, 10637, 3459, 547, 4473, 269, 10003, 338, 267, 10506 ]

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

[ 538, 8955, 2029, 267, 13745, 609, 3395, 6284, 540, 519, 2956, 540, 5711, 1606, 2448, 545, 1072, 4296, 267, 1305, 519, 3942, 585, 519, 1646, 540, 8955, 29374, 27731, 11257, 780, 7656, 269, 14362, 540, 21558, 5025, 1087, 13554, 11270, 7267, 10657, 692, 288, 269, 8564, 633, 28080, 7566, 540, 11202, 11077, 692, 3080, 540, 519, 3119, 5383, 540, 8955, 29374, 27731, 3797, 568, 922, 2702, 547, 4481, 3077, 5739, 9190, 2249, 3743, 585, 27731, 2068, 1247, 6028, 2635, 5160, 796, 2675, 520, 1117, 269, 901, 6098, 1935, 6971, 32097, 3441, 2404, 609, 6671, 5574, 543, 16881, 5488, 6051, 2053, 780, 289, 269, 4437, 739, 574, 1637, 543, 23046, 8871, 10056, 692, 1103, 1840, 547, 741, 21734, 3601, 267, 22795, 666, 849, 12954, 10408, 6114, 602, 3895, 7067, 543, 20344, 540, 8697, 8031, 269, 901, 12242, 10342, 1107, 1312, 14874, 3968, 543, 5807, 7816, 1107, 2306, 331, 6471, 29374, 27731, 3797, 513, 3532, 1907, 538, 8396, 1154, 1974, 2632, 4345, 780, 4353, 269, 25895, 21992, 906, 538, 21558, 5025, 1087, 13554, 11270, 7267, 10657, 692, 288, 269, 9537, 540, 20098, 619, 13242, 538, 11270, 7267, 10657, 692, 2467, 616, 1896, 2010, 540, 22795, 6964, 538, 27731, 3797, 267, 1519, 26534, 22795, 267, 715, 323, 281, 312, 8980, 630, 928, 1328, 26606, 1673, 25660, 586, 1777, 8922, 11956, 6095, 6339, 264, 22795, 267, 543, 8210, 281, 312, 8980, 630, 8538, 1756, 1673, 25660, 586, 1777, 8922, 11956, 6095, 6339, 264, 22795, 269, 3962, 19299, 2189, 4162, 602, 1118, 873, 5078, 585, 1808, 3156, 1369, 27731, 2126, 780, 289, 269, 10765, 3763, 906, 543, 11627, 725, 692, 13146, 10124, 538, 8955, 2029, 723, 3366, 547, 519, 5137, 540, 3457, 5827, 540, 12419, 10502, 26215, 730, 13121, 1137, 540, 1648, 267, 2417, 7393, 519, 12117, 543, 3106, 540, 8955, 29374, 27731, 3797, 269, 3958, 267, 3173, 3136, 547, 2263, 3209, 2081, 540, 9001, 22795, 538, 14966, 609, 824, 9354, 23857, 267, 971, 607, 2584, 17871, 3797, 543, 6565, 1591, 2861, 27532, 2994, 780, 309, 269, 8177, 540, 6925, 593, 21558, 5025, 1087, 13554, 11270, 7267, 10657, 692, 288, 269, 3955, 13694, 21664, 692, 30655, 894, 3646, 1063, 2564, 4648, 543, 5959, 12665, 723, 5129, 513, 2629, 1909, 538, 14027, 938, 1620, 540, 519, 5817, 6127, 12044, 8955, 29374, 27731, 3797, 269, 1635, 7535, 532, 2200, 543, 6791, 267, 3173, 689, 3309, 10080, 616, 1732, 9280, 547, 10994, 1950, 2591, 543, 5397, 5647, 538, 713, 6385, 9687, 2361, 780, 289, 269, 25927, 1049, 3194, 692, 9558, 331, 1049, 1382, 1107, 799, 11394, 547, 8115, 519, 7934, 1063, 4909, 8906, 543, 4791, 3156, 1107, 814, 1044, 15747, 538, 8744, 8955, 29374, 27731, 11257, 689, 14541, 547, 5127, 2515, 269, 3414, 11826, 840, 30570, 4152, 543, 1134, 27059, 4791, 8062, 267, 1007, 5574, 666, 581, 18928, 11117, 585, 3106, 267, 7145, 267, 543, 1942, 3887, 11797, 1354, 1373, 7471, 883, 6296, 5959, 2259, 780, 9654, 269, 10390, 692, 2026, 5711, 3782, 5170, 547, 9784, 606, 15834, 2203, 602, 11363, 5698, 1063, 4915, 543, 25185, 267, 5499, 4485, 899, 8955, 29374, 27731, 3797, 786, 17216, 1404, 513, 3844, 1909, 538, 5935, 519, 2104, 540, 3461, 1416, 269, 1306, 649, 11441, 547, 5838, 6099, 4093, 585, 1346, 7092, 689, 27731, 3676, 267, 621, 568, 1651, 3518, 550, 2390, 721, 607, 7855, 267, 19353, 267, 543, 3173, 547, 3251, 32448, 540, 6932, 3466, 543, 3565, 547, 519, 5571, 5188, 4478, 891, 3078, 8441, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 1537, 1072, 1416, 814, 22734, 513, 7415, 4720, 267, 609, 2757, 2853, 4758, 1259, 547, 513, 811, 3102, 543, 15834, 1935, 269, 2290, 540, 519, 1883, 20334, 547, 713, 4838, 568, 519, 5610, 540, 4915, 883, 2413, 5959, 1416, 899, 875, 3220, 269, 19257, 3534, 2052, 8364, 1935, 1142, 3461, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 3140, 5133, 267, 10319, 3646, 267, 6639, 7760, 267, 543, 519, 1764, 540, 4915, 593, 1585, 3344, 540, 5711, 1072, 563, 25565, 5959, 2853, 941, 1419, 3908, 547, 10868, 543, 2596, 5711, 9882, 269, 1717, 267, 519, 11944, 540, 2413, 25185, 4547, 827, 1713, 2242, 267, 6220, 3621, 3741, 543, 4359, 2553, 269, 901, 6521, 9788, 519, 5748, 585, 5698, 1063, 4915, 543, 25185, 563, 763, 15774, 5610, 540, 4915, 543, 25185, 568, 13321, 3461, 1416, 269, 634, 2640, 540, 10319, 1416, 1331, 513, 811, 3102, 1620, 540, 2550, 685, 2949, 1072, 267, 3056, 547, 4824, 2126, 522, 340, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 6471, 5025, 1087, 13554, 11270, 7267, 10657, 257, 607, 851, 540, 834, 25503, 1315, 19239, 3588, 1315, 11270, 2632, 923, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 13760, 12339, 21442, 21126, 538, 17235, 267, 5980, 267, 543, 9177, 692, 3721, 476, 272, 281, 6258, 6168, 519, 5081, 1670, 28636, 540, 17235, 454, 9359, 676, 1620, 519, 3119, 6436, 540, 25349, 543, 824, 1514, 6436, 540, 6760, 269, 1452, 6436, 1331, 1585, 5380, 971, 607, 6198, 1143, 267, 1514, 4655, 267, 543, 5872, 1143, 269, 3962, 3069, 814, 922, 1378, 1305, 540, 10054, 3823, 6760, 1757, 566, 543, 6848, 6114, 547, 7803, 2623, 269, 1280, 3236, 267, 6198, 1235, 2070, 6760, 607, 513, 1106, 540, 1821, 4800, 2556, 585, 4509, 6617, 538, 2486, 267, 1247, 1514, 4655, 28466, 1294, 621, 607, 513, 1267, 540, 1379, 20817, 1063, 1114, 2516, 269, 19983, 1235, 11168, 519, 1909, 540, 21458, 543, 1514, 6547, 538, 10747, 6760, 780, 7659, 17785, 281, 2142, 3222, 540, 519, 3140, 543, 2686, 8658, 540, 891, 6436, 267, 607, 789, 3310, 741, 1646, 543, 3498, 780, 3721, 476, 273, 281, 25506, 6206, 12339, 21442, 634, 528, 1235, 543, 23105, 28636, 454, 26368, 1713, 15594, 5640, 945, 8329, 547, 6309, 514, 1670, 2219, 269, 2368, 8037, 5515, 616, 1384, 265, 10906, 853, 1678, 334, 454, 265, 2405, 320, 27991, 2284, 6441, 785, 454, 265, 25845, 1261, 16582, 810, 18255, 454, 265, 22186, 22220, 667, 3315, 692, 4322, 17024, 2919, 1898, 2035, 899, 1384, 265, 24686, 1105, 531, 7869, 1107, 13187, 602, 5256, 17282, 10419, 340, 919, 4008, 8635, 3056, 547, 2362, 4775, 6408, 1436, 3928, 454, 265, 9484, 26147, 1975, 12742, 8211, 1108, 1107, 733, 1742, 602, 2367, 543, 2021, 19582, 3982, 26441, 630, 21504, 5288, 269, 4357, 264, 4611, 538, 11186, 2126, 540, 9038, 543, 8951, 538, 519, 3656, 1062, 454, 265, 5776, 4812, 12339, 24452, 1107, 29102, 602, 12790, 2043, 2709, 2189, 4030, 883, 519, 25029, 540, 1949, 540, 15746, 267, 971, 607, 13348, 8944, 692, 3721, 476, 274, 281, 14146, 12339, 21442, 21126, 538, 3194, 543, 11310, 13870, 454, 22860, 2763, 6760, 543, 5126, 2152, 1210, 15594, 4485, 269, 901, 3322, 6236, 2188, 899, 4008, 267, 3023, 267, 543, 1379, 6384, 950, 16208, 1239, 610, 3384, 19165, 269, 1635, 6220, 15594, 2093, 267, 3173, 666, 4161, 2757, 12886, 543, 3565, 547, 811, 8537, 24300, 540, 6760, 780, 28223, 281, 1879, 10647, 1382, 267, 2327, 707, 2409, 543, 10386, 2553, 2272, 585, 1761, 4008, 13103, 269, 3958, 267, 9691, 6218, 2959, 547, 2697, 2009, 17697, 12886, 7133, 8753, 6537, 827, 6760, 543, 5126, 6927, 780, 3721, 476, 275, 281, 25826, 1215, 12339, 21442, 28636, 2052, 2142, 11930, 547, 4317, 3194, 593, 17235, 454, 7343, 569, 15594, 6309, 514, 1670, 6436, 547, 4540, 2090, 610, 2932, 3312, 1382, 2519, 593, 896, 13231, 1221, 3344, 540, 6760, 5473, 4008, 267, 14920, 267, 610, 28622, 269, 31385, 2127, 1141, 1699, 3332, 949, 26777, 2565, 7516, 1813, 547, 543, 549, 1417, 878, 10054, 610, 3668, 540, 6041, 780, 7078, 281, 21302, 7128, 5359, 610, 5480, 6054, 7282, 6469, 5208, 13685, 998, 513, 15594, 7828, 269, 10576, 3270, 11021, 575, 25311, 12496, 540, 9601, 262, 2833, 543, 4983, 2436, 1876, 11268, 8041, 1521, 5256, 543, 4775, 25476, 8335, 780, 3721, 476, 276, 281, 7600, 1227, 21302, 5871, 853, 699, 8040, 13565, 547, 17235, 267, 5980, 267, 543, 9177, 454, 8269, 937, 2390, 4922, 4371, 4978, 4478, 6760, 267, 3226, 1346, 6766, 676, 4008, 5107, 543, 6788, 269, 7726, 2442, 6386, 827, 4775, 6309, 514, 1275, 1373, 4686, 610, 1447, 4049, 982, 5256, 13413, 269, 7420, 11475, 16046, 1978, 2010, 540, 10963, 609, 1808, 22097, 1759, 593, 5198, 267, 1362, 267, 610, 14940, 780, 3528, 2502, 609, 891, 3268, 267, 596, 786, 15052, 707, 8223, 540, 15594, 6309, 11659, 543, 922, 10083, 547, 6626, 5717, 1472, 6760, 267, 2486, 267, 543, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15152, 12392, 1923, 16998, 293, 4211, 290, 297, 21709, 1923, 476, 1708, 275, 454, 24979, 830, 267, 5980, 543, 9177, 454, 17345, 1344, 585, 476, 1708, 275, 6981, 8698, 1344, 585, 476, 1708, 274, 1576, 6981, 454, 268, 5530, 1505, 454, 268, 476, 1911, 260, 2228, 454, 268, 476, 1911, 260, 2228, 454, 268, 3399, 7389, 454, 268, 476, 2918, 4924, 476, 1708, 275, 2676, 268, 476, 2918, 4119, 476, 1708, 275, 2676, 268, 7348, 476, 1708, 274, 7389, 454, 268, 28678, 4170, 454, 268, 13405, 1353, 2877, 454, 268, 476, 1724, 4374, 454, 4047, 5425, 29803, 543, 674, 7417, 29803, 2139, 454, 24979, 830, 267, 5980, 543, 9177, 454, 10666, 713, 1641, 454, 5475, 6707, 11264, 713, 1641, 596, 1058, 581, 2111, 547, 912, 268, 23227, 622, 23440, 609, 543, 1702, 540, 519, 3119, 6436, 540, 25349, 543, 824, 1514, 6436, 540, 6760, 1519, 519, 2596, 10054, 540, 891, 6436, 267, 1883, 28466, 543, 2404, 6436, 267, 543, 519, 8739, 3620, 626, 5566, 2796, 540, 891, 6436, 454, 268, 11512, 543, 2308, 25349, 543, 1514, 1606, 2615, 881, 5380, 593, 1382, 543, 1702, 2504, 1644, 547, 6760, 543, 5126, 267, 1519, 6198, 626, 267, 1514, 4655, 267, 543, 5872, 626, 5380, 454, 268, 15233, 6309, 514, 1670, 6436, 547, 1514, 1382, 593, 6760, 454, 268, 7600, 1227, 20272, 834, 21720, 694, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 293, 655, 21442, 595, 3234, 11659, 257, 607, 851, 540, 834, 24719, 13316, 1315, 595, 3234, 11659, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 1488, 573, 8092, 17164, 566, 281, 589, 14265, 1017, 3281, 9426, 540, 19164, 23270, 338, 692, 296, 269, 4985, 692, 763, 1353, 540, 25545, 2244, 10664, 568, 1898, 547, 1620, 9390, 8134, 267, 799, 3382, 5111, 835, 21017, 540, 519, 3047, 781, 2627, 269, 1452, 27763, 8916, 616, 6353, 676, 1970, 11811, 267, 1164, 5210, 267, 543, 2189, 2030, 1272, 9862, 547, 7639, 896, 3665, 2175, 269, 901, 1770, 786, 5490, 883, 519, 14960, 540, 25545, 2244, 10664, 267, 922, 1909, 538, 9390, 8134, 267, 3140, 5380, 267, 543, 4207, 2152, 780, 2862, 269, 8466, 5133, 593, 5883, 25545, 2244, 10664, 692, 288, 269, 8177, 540, 1480, 9194, 593, 25545, 2244, 10664, 454, 272, 269, 634, 12625, 540, 24272, 22057, 812, 538, 3345, 3013, 20427, 4957, 519, 5065, 2030, 12845, 2711, 2950, 267, 27200, 741, 12105, 24551, 563, 273, 269, 12815, 2621, 2709, 3407, 4030, 883, 875, 3425, 723, 6766, 25545, 2244, 10664, 267, 3850, 721, 547, 1118, 5483, 3664, 827, 2104, 2359, 2994, 563, 274, 269, 7087, 9082, 5129 ]

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

[ 1858, 540, 476, 272, 267, 28794, 267, 271, 4281, 688, 543, 12851, 6915, 613, 25140, 547, 519, 5493, 792, 8157, 16004, 517, 655, 7394, 11662, 267, 8204, 922, 9381, 543, 1202, 983, 5054, 269, 634, 8273, 10195, 616, 15223, 732, 2742, 320, 267, 19743, 1756, 12711, 267, 15719, 340, 543, 966, 768, 19561, 269, 14755, 891, 10195, 267, 972, 616, 930, 7366, 540, 4130, 568, 7410, 269, 634, 20648, 2494, 543, 519, 4437, 14459, 19510, 630, 300, 5723, 264, 23083, 606, 15834, 1382, 16786, 543, 4390, 2679, 17935, 547, 2087, 519, 2078, 540, 1004, 609, 741, 1604, 11451, 269, 5487, 684, 3481, 538, 519, 2038, 476, 3192, 271, 338, 267, 621, 16113, 9072, 519, 8733, 267, 1514, 543, 2804, 7516, 540, 9265, 2530, 543, 519, 5786, 540, 713, 2530, 269, 898, 3096, 922, 1158, 3060, 540, 1979, 14459, 14425, 607, 6472, 585, 1702, 4687, 267, 1382, 543, 5464, 267, 2069, 543, 2866, 267, 543, 29355, 3375, 6194, 269, 901, 960, 568, 1071, 268, 867, 3990, 676, 2199, 18013, 1927, 609, 22257, 543, 18513, 14540, 563, 27001, 476, 1960, 271, 268, 1220, 273, 2199, 18013, 11478, 593, 1614, 6480, 20897, 10195, 543, 519, 835, 585, 19743, 1756, 12711, 538, 1880, 5645, 856, 513, 7415, 2179, 540, 960, 2390, 4264, 1646, 3785, 267, 2825, 2069, 267, 13629, 543, 1382, 269, 1717, 267, 11558, 10838, 519, 18013, 5828, 856, 547, 581, 13385, 543, 513, 2312, 4640, 585, 519, 3003, 1979, 14459, 15395, 729, 7508, 269, 769, 476, 1220, 273, 519, 12080, 540, 5113, 4956, 547, 23271, 519, 2199, 18013, 543, 547, 4483, 1979, 14459, 15395, 2359, 547, 835, 15726, 302, 5748, 269, 901, 15139, 5314, 9863, 547, 581, 7357, 4831, 335, 8793, 607, 1510, 6190, 22257, 7616, 267, 15569, 543, 3621, 1489, 267, 1022, 1106, 540, 11455, 2359, 585, 519, 1979, 14459, 15395, 3533, 26632, 730, 269, 898, 568, 849, 5921, 602, 1034, 540, 519, 3407, 543, 942, 21791, 2048, 321, 18847, 909, 685, 2146, 543, 7471, 1646, 960, 17298, 676, 519, 2199, 8998, 593, 19743, 1756, 12711, 936, 513, 8717, 729, 4503, 543, 1223, 711, 581, 5413, 3585, 3710, 2390, 563, 305, 340, 889, 523, 5403, 267, 519, 1454, 15197, 543, 1631, 8909, 569, 21549, 5449, 5883, 8689, 540, 519, 19743, 1756, 12711, 1979, 14459, 15395, 8998, 267, 5206, 606, 16367, 2376, 538, 476, 1220, 274, 13886, 2048, 295, 5200, 689, 2696, 543, 5899, 13377, 9957, 4746, 5227, 568, 519, 1433, 2048, 298, 2129, 339, 636, 7371, 320, 1731, 685, 630, 9288, 7566, 264, 12995, 676, 1010, 26393, 1677, 5557, 918, 758, 990, 7219, 945, 1631, 21314, 1488, 1222, 11253, 698, 630, 5408, 1985, 3296, 1040, 901, 8313, 26564, 519, 19743, 1756, 12711, 1995, 6591, 689, 519, 4639, 6480, 8205, 5246, 28396, 4437, 14459, 15944, 476, 1960, 271, 268, 1220, 274, 543, 2488, 606, 7650, 827, 1866, 689, 1472, 2342, 563, 18204, 3603, 4886, 12020, 454, 6635, 1222, 11253, 698, 568, 513, 1875, 17416, 1382, 543, 1646, 13539, 4171, 3483, 568, 547, 6536, 513, 4264, 1259, 540, 1272, 593, 519, 5032, 543, 10195, 269, 4595, 621, 729, 8547, 538, 476, 1960, 278, 267, 1488, 1222, 11253, 698, 814, 1044, 3238, 538, 606, 1858, 602, 18953, 519, 6302, 540, 2470, 5726, 267, 2528, 543, 6917, 4346, 269, 898, 11099, 602, 513, 2973, 1604, 568, 606, 538, 29323, 762, 851, 540, 1272, 2298, 281, 602, 812, 666, 12492, 513, 7059, 2078, 609, 2470, 282, 602, 513, 1164, 2298, 2199, 1587, 568, 9120, 547, 562, 600, 6804, 2527, 2504, 282, 543, 602, 519, 5032, 568, 938, 1455, 14951, 563, 1103, 922, 960, 1488, 1222, 11253, 698, 568, 11461, 676, 519, 3741, 540, 20648, 631, 5723, 543, 519, 1034, 1271, 4745, 1382, 10872, 789, 15548, 538, 729, 519, 966, 664, 15330, 328, 1788, 16046, 6917, 1272, 543, 9381, 2470, 269, 634, 1463, 8144, 540, 966, 664, 15330, 328, 568, 968, 1492, 4262, 540, 2269, 1080, 5608, 513, 10859, 10276, 743, 2216, 9381, 1858, 540, 827, 476, 1220, 271, 13483, 5998, 11303, 676, 519, 6480, 20897, 22163, 543, 519, 10195, 540, 15223, 732, 2742, 320, 267, 19743, 1756, 12711, 267, 966, 768, 19561, 543, 15719, 340, 269, 1280, 513, 5758, 6609, 543, 547, 4647, 519, 2407, 1788, 543, 2930, 5359, 607, 1134, 607, 1569, 547, 824, 12326, 267, 6337, 543, 8874, 3643, 891, 1357, 335, 1137, 269, 13677, 7849, 11595, 849, 8359, 966, 664, 15330, 328, 607, 835, 540, 741, 2013, 2090, 547, 948, 1217, 741, 3206, 593, 9381, 543, 7286, 3084, 11614, 563, 763, 966, 664, 15330, 328, 1788, 1631, 12523, 811, 982, 476, 273, 267, 1822, 14132, 12418, 543, 476, 736, 267, 1822, 25614, 540, 10859, 5991, 1823, 31922, 543, 1488, 1222, 11253, 698, 5170, 547, 3895, 713, 6923, 1178, 7458, 5779, 269, 898, 6035, 513, 2470, 7888, 3434, 2044, 4487, 5035, 609, 835, 540, 519, 2197, 779, 1283, 22730, 693, 519, 4563, 715, 2074, 17912, 16635, 4371, 693, 918, 731, 5055, 538, 5412, 476, 1220, 279, 269, 769, 5147, 476, 1220, 280, 789, 22555, 519, 6153, 6052, 16635, 1141, 606, 3063, 341, 12298, 5633, 540, 2199, 1426, 267, 2575, 543, 16222, 729, 2139, 1369, 543, 1472, 519, 2025, 1379, 2030, 538, 918, 731, 5055, 563, 8448, 2101, 15961, 1488, 1222, 11253, 698, 723, 1185, 513, 1463, 9525, 609, 616, 661, 12702, 3201, 585, 7311, 3631, 540, 7658, 1740, 543, 8465, 960, 12417, 593, 519, 10195, 543, 15672, 9381, 2127, 540, 6480, 8205, 543, 11076, 9596, 799, 729, 513, 19180, 2866, 10189, 593, 21091, 26066, 18630, 5004, 563, 299, 807, 25347, 6199, 543, 1677, 5557, 918, 758, 990, 7219, 267, 1488, 1222, 11253, 698, 454, 3725, 564, 918, 758, 990, 7219, 267, 15445, 15440, 267, 19845, 4696, 2207, 10872, 454, 288, 16343, 918, 686, 529, 6390, 267, 15445, 15440, 267, 6789, 11162, 12537, 454, 288, 4275, 570, 1601, 267, 17348, 17367, 19743, 1756, 12711, 17721, 11206, 5980, 454, 307, 340, 25625, 570, 2459, 5055, 267, 5449, 5741, 15440, 267, 918, 641, 340, 700, 9281, 292, 5991, 1155, 1788, 454, 305, 328, 2088, 700, 4068, 2742, 324, 267, 5113, 10837, 454, 307, 517, 340, 918, 2194, 324, 514, 267, 16027, 538, 966, 664, 15330, 328, 1788, 0, 763, 30975, 609, 32664, 1145, 5494, 6847, 543, 26225, 9177, 454, 4517, 3205, 267, 3794, 3317, 543, 14332, 324, 267, 7671, 15301, 1220, 272, 264, 32641, 1369, 519, 32664, 7991, 538, 4858, 1375, 267, 10753, 529, 630, 10955, 4700, 32664, 2622, 281, 589, 8466, 24153, 543, 12729, 11905, 1504, 269, 476, 25134, 268, 28143, 269, 1715, 3840, 281, 1715, 3840, 2160, 4964, 563, 290, 1251, 518, 267, 631, 1515, 1014, 630, 1960, 279, 264, 32664, 543, 2598, 12574, 267, 610, 32664, 1145, 2598, 12574, 286, 2826, 338, 565, 267, 26838, 281, 7046, 2160, 4964, 563, 291, 656, 267, 570, 269, 1299, 27068, 590, 269, 630, 1960, 272, 264, 634, 4317, 14716, 540, 32664, 1145, 267, 538, 7046, 2160, 630, 32295, 264, 12983, 538, 32664, 1145, 29859, 3223, 29498, 267, 26838, 2433, 15411, 2160, 4964, 563, 291, 32713, 267, 31143, 731, 269, 630, 1220, 273, 264, 645, 2056, 936, 23651, 281, 26225, 267, 667, 1143, 617, 1716, 1143, 1299, 4033, 5262, 2159, 30142, 1431, 269, 1715, 3840, 281, 1715, 3840, 2160, 4964, 563, 18128, 753, 267, 18496, 543, 674, 1779, 5261, 630, 2735, 277, 264, 4804, 547, 581, 32664, 269, 12670, 281, 631, 719, 517, 632, 22630, 614, 563, 293, 710, 267, 18466, 548, 543, 1306, 577, 267, 1520, 686, 26413, 630, 32295, 264, 630, 2735, 279, 264, 6468, 609, 24894, 281, 10749, 538, 10017, 267, 9177, 543, 15348, 269, 15740, 281, 13527, 2160, 4964, 563, 293, 8803, 267, 19626, 630, 1960, 277, 264, 968, 11514, 1464, 540, 16338, 286, 32664, 1145, 607, 513, 8865, 7151, 1848, 7433, 3465, 5034, 693, 5980, 585, 26225, 5525, 267, 6115, 267, 667, 269, 595, 563, 294, 5585, 2006, 267, 29484, 630, 2735, 277, 264, 834, 24292, 14740, 32664, 1145, 543, 10076, 2657, 257, 4750, 540, 519, 1977, 32664, 1145, 543, 29407, 5948, 630, 736, 264, 476, 272, 268, 1015, 563, 297, 28427, 267, 681, 1421, 700, 1342, 749, 590, 269, 543, 8210, 1154, 595, 269, 630, 2735, 280, 264, 11829, 7596, 564, 3194, 4659, 11554, 4574, 476, 8660, 268, 274, 1133, 24286, 519, 15099, 281, 14362, 585, 8236, 1569, 538, 18555, 2069, 269, 6115, 267, 9823, 281, 11829, 7596, 564, 2160, 4964, 563, 299, 2033, 267, 670, 269, 630, 1960, 273, 264, 634, 631, 2532, 540, 645, 2940, 14179, 775, 281, 2598, 29058, 519, 32664, 7991, 269, 1715, 3840, 267, 21238, 12928, 641, 325, 563, 299, 2033, 267, 4498, 17427, 630, 1960, 276, 264, 968, 17746, 15297, 540, 32664, 1145, 1848, 26225, 1299, 5980, 261, 630, 1015, 264, 3143, 476, 273, 1496, 14378, 268, 5002, 563, 299, 2033, 267, 670, 1421, 32129, 1889, 3563, 267, 681, 1421, 543, 5484, 15840, 534, 630, 1960, 277, 264, 589, 17714, 883, 519, 667, 12788, 293, 8862, 3036, 17162, 269, 5842, 17630, 281, 667, 11921, 6178, 4964, 563, 16524, 3467, 267, 6754, 630, 1220, 274, 264, 4208, 594, 22210, 539, 3733, 3883, 543, 4033, 10749, 593, 26225, 269, 13527, 2160, 4964, 267, 15740, 563, 21790, 612, 267, 17555, 630, 1220, 271, 264, 7335, 9737, 519, 20050, 3955, 322, 8590, 9442, 585, 6178, 5678, 3955, 2181, 1562, 269, 3955, 322, 8590, 4964, 267, 962, 1301, 1926, 267, 19051, 563, 27770, 648, 267, 15623, 590, 269, 543, 27692, 2274, 10903, 534, 609, 513, 2062, 5320, 676, 4498, 17427, 28818, 267, 476, 1960, 274, 269, 476, 273, 526, 9990, 1280, 24651, 4658, 8307, 29157, 3122, 12924, 281, 32664, 5020, 4964, 563, 303, 5417, 523, 543, 9966, 874, 1845, 267, 630, 2735, 279, 264, 32664, 538, 3013, 966, 7860, 689, 589, 9177, 11062, 267, 8575, 281, 10228, 2160, 4964, 563, 3725, 12298, 267, 570, 269, 630, 1960, 271, 264, 8836, 19047, 538, 519, 4065, 540, 32664, 5753, 538, 28927, 3298, 268, 7775, 331, 753, 543, 7720, 2803, 267, 667, 269, 630, 32295, 264, 4065, 543, 25833, 31834, 540, 32664, 1145, 269, 6115, 267, 667, 5861, 12727, 11829, 7596, 564, 2160, 4964, 563, 305, 4141, 615, 4659, 630, 1960, 277, 264, 26225, 267, 7991, 543, 5980, 281, 10289, 519, 25103, 269, 3345, 3840, 267, 14411, 281, 681, 4141, 615, 4659, 563, 305, 340, 714, 267, 623, 269, 630, 2735, 279, 264, 968, 289, 13308, 1143, 543, 19636, 2069, 538, 519, 2475, 2223, 538, 595, 269, 645, 269, 6754, 8725, 630, 10955, 4700, 4139, 18361, 540, 645, 13308, 1143, 543, 19636, 2069, 267, 476, 276, 4375, 268, 28794, 1715, 3840, 281, 5682, 6229, 4964, 563, 306, 2931, 267, 20182, 630, 1960, 271, 264, 22628, 966, 7860, 281, 589, 17714, 883, 519, 2622, 540, 519, 32664, 269, 22489, 623, 15959, 658, 269, 2160, 540, 4993, 4964, 563, 306, 3832, 514, 267, 808, 269, 630, 2735, 280, 264, 2311, 5851, 7324, 5899, 13377, 269, 6115, 667, 269, 595, 269, 11829, 7596, 564, 2160, 4964, 563, 306, 615, 573, 534, 267, 26795, 269, 630, 1220, 272, 264, 32664, 6468, 3767, 281, 26787, 3776, 18990, 269, 769, 4858, 1375, 267, 10753, 529, 630, 10955, 4700, 32664, 2622, 281, 589, 8466, 24153, 543, 12729, 11905, 1504, 269, 26076, 476, 23884, 268, 4343, 280, 269, 1715, 3840, 281, 1715, 3840, 2160, 4964, 563, 268, 1703, 616, 4867, 1100, 1201, 10587, 269, 0, 15899, 31215, 2825, 1143, 543, 519, 2104, 540, 3162, 5607, 454, 257, 2691, 786, 1715, 16156, 4473, 547, 1921, 519, 15956, 1063, 11347, 9111, 543, 8733, 7254, 640, 24350, 10521, 5726, 2950, 689, 22583, 3127, 3094, 9265, 17758, 454, 763, 1483, 5314, 602, 519, 2146, 22306, 4104, 729, 1753, 547, 1082, 21049, 2249, 5280, 3267, 1683, 4027, 547, 782, 2249, 1934, 563, 3963, 616, 2021, 20495, 607, 931, 21665, 540, 9265, 888, 288, 16994, 543, 13857, 1620, 540, 519, 1909, 540, 2021, 568, 2877, 585, 5610, 540, 2021, 883, 519, 4058, 543, 3375, 1818, 3157, 563, 8855, 532, 20144, 13041, 1690, 344, 582, 328, 13850, 9655, 7498, 1862, 513, 4558, 5264, 540, 8733, 3206, 543, 606, 5683, 19671, 602, 568, 10355, 1336, 538, 3162, 5607, 779, 2825, 5251, 563, 301, 4673, 1731, 611, 340, 281, 7316, 4961, 24721, 513, 4104, 585, 476, 1911, 1296, 454, 763, 5726, 1316, 2478, 538, 715, 4673, 1731, 611, 340, 723, 1044, 2500, 910, 519, 30162, 540, 21049, 18508, 543, 21426, 4857, 1934, 616, 21981, 547, 713, 563, 294, 7134, 538, 22564, 281, 2368, 2556, 22530, 1431, 454, 320, 9240, 557, 10362, 547, 713, 15831, 267, 610, 519, 18137, 10362 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2160, 540, 20506, 23051, 3173, 616, 3384, 1007, 8596, 602, 786, 948, 519, 6051, 543, 20344, 540, 519, 2022, 16162, 2120, 30738, 2313, 9874, 3148, 543, 5512, 4824, 5464, 543, 1852, 540, 5925, 13808, 693, 6046, 4609, 5001, 563, 293, 24962, 676, 519, 7849, 5113, 3194, 7027, 630, 301, 2207, 290, 1070, 519, 1382, 786, 1445, 593, 2081, 547, 3713, 267, 2268, 543, 6895, 6046, 5982, 538, 519, 1604, 547, 7520, 2362, 6571, 4087, 543, 5464, 540, 11895, 14599, 6219, 982, 1354, 563, 4467, 19828, 8030, 267, 2825, 3744, 543, 21575, 267, 519, 2319, 6663, 547, 1020, 4130, 543, 811, 4977, 8747, 540, 1290, 17980, 268, 613, 5852, 8596, 267, 547, 1294, 875, 5925, 13808, 7575, 609, 2242, 538, 1216, 2095, 610, 11159, 3350, 267, 543, 875, 519, 5982, 538, 13572, 3037, 4991, 883, 519, 1426, 5832, 998, 2371, 543, 2831, 563, 17206, 540, 20506, 23051, 4972, 540, 8212, 2707, 3220, 12448, 11785, 1767, 519, 8596, 666, 1265, 519, 2707, 540, 5982, 609, 1454, 3152, 6111, 543, 8417, 563, 257, 5445, 723, 519, 5413, 540, 1373, 2111, 547, 12398, 519, 2707, 538, 476, 274, 291, 543, 938, 10700, 3804, 568, 547, 1020, 4130, 267, 14402, 18785, 3937, 609, 1761, 9806, 538, 6482, 942, 2437, 11785, 3773, 563, 763, 476, 1321, 18881, 6169, 6361, 8410, 1061, 1788, 568, 4502, 11278, 14028, 267, 1822, 543, 786, 20690, 513, 1279, 3856, 1982, 540, 954, 16162, 9918, 960, 2066, 519, 2160, 543, 609, 4891, 538, 3567, 269, 0, 6624, 4079, 786, 723, 930, 1995, 540, 11648, 689, 741, 1378, 6689, 267, 581, 621, 607, 519, 6408, 267, 10419, 15249, 610, 607, 513, 7198, 910, 1312, 3330, 543, 3544, 519, 1153, 19235, 563, 19185, 1394, 267, 789, 616, 2693, 547, 2992, 593, 519, 14042, 1764, 621, 1185, 593, 519, 25031, 1367, 945, 729, 593, 519, 8391, 1439, 540, 11913, 543, 2168, 8731, 618, 269, 1306, 513, 1267, 267, 789, 1419, 798, 782, 789, 666, 547, 1118, 2386, 741, 1378, 1453, 616, 2922, 689, 519, 1826, 540, 11648, 789, 4810, 950, 1762, 563, 2750, 1061, 602, 2053, 723, 4957, 910, 543, 1018, 1082, 3237, 666, 1447, 3222, 540, 267, 610, 1447, 2111, 547, 9856, 1996, 267, 568, 519, 4473, 538, 2228, 11648, 269, 1280, 9601, 267, 519, 3765, 2044, 2404, 609, 621, 666, 581, 1256, 3152, 982, 952, 789, 941, 1373, 6098, 3068, 3562, 19904, 563, 1103, 519, 715, 9915, 6717, 781, 5993, 1867, 2048, 1432, 5753, 616, 10213, 721, 827, 11648, 8730, 649, 4312, 7000, 602, 538, 519, 2063, 2947, 1296, 5646, 18522, 7886, 9447, 676, 4132, 1467, 585, 30378, 723, 2799, 676, 476, 6434, 829, 1298, 689, 476, 273, 267, 25148, 538, 476, 1001, 272, 270, 1321, 547, 476, 275, 267, 276, 6078, 538, 476, 1001, 276, 270, 1626, 563, 1432, 781, 8449, 7282, 568, 519, 5955, 649, 616, 8391, 689, 1453, 269, 634, 476, 2190, 270, 278, 2470, 540, 519, 4950, 910, 513, 1880, 3390, 609, 1514, 2923, 910, 1797, 602, 585, 1346, 945, 616, 1373, 13032, 1221, 2228, 267, 621, 666, 1419, 1745, 899, 972, 568, 1100, 9101, 563, 28308, 569, 10413, 995, 267, 17351, 1913, 543, 5961, 666, 581, 11540, 2228, 676, 519, 6880, 12712, 569, 1472, 519, 9219, 267, 543, 2938, 676, 519, 6408, 593, 741, 5100, 6049, 610, 16979, 267, 2436, 789, 4755, 547, 581, 693, 1753, 267, 1153, 610, 856, 3843, 547, 2972, 2933, 563, 4322, 6835, 2039, 689, 519, 562, 7360, 543, 19849, 23035, 267, 1318, 909, 547, 519, 6408, 1373, 5143, 547, 979, 543, 6146, 2933, 563, 257, 9336, 1554, 594, 12687, 909, 18901, 547, 979, 547, 1153, 267, 18901, 827, 519, 8292, 1004, 786, 1118, 543, 18901, 827, 6972, 1753, 2437, 1767, 835, 476, 1724, 4458, 6040, 8004, 563, 257, 10190, 594, 1205, 538, 543, 2845, 5196, 1250, 1514, 13033, 3135, 543, 972, 616, 29695, 6835, 10876, 269, 898, 779, 899, 972, 779, 1100, 29400, 519, 13032, 625, 269, 594, 6557, 10010, 547, 11883, 609, 875, 13347, 594, 1745, 267, 865, 3006, 594, 2759, 8885, 1175, 547, 723, 513, 5305, 855, 621, 779, 711, 2614, 269, 594, 666, 1406, 979, 593, 899, 713, 3034, 4407, 513, 476, 1691, 4458, 6040, 1767, 281, 834, 296, 993, 1373, 13032, 1221, 676, 513, 8004, 693, 1153, 269, 2701, 814, 3144, 6337, 540, 803, 543, 11540, 873, 593, 10965, 777, 23298, 10912, 803, 3170, 543, 30299, 543, 875, 594, 786, 2760, 723, 513, 7911, 23136, 269, 594, 723, 1044, 2348, 29047, 4555, 607, 713, 8004, 568, 2731, 2442, 543, 1352, 814, 5828, 1250, 2898, 1032, 1996, 803, 3034, 4415, 1453, 2348, 1569, 547, 519, 4950, 693, 606, 2479, 7820, 2085, 267, 519, 1981, 540, 30378, 9428, 2479, 3152, 269, 5753, 607, 1762, 607, 5722, 723, 30409, 4132, 1467, 538, 11605, 827, 1373, 593, 519, 8391, 1439, 540, 29880, 8292, 563, 307, 871, 1782, 713, 1966, 666, 1745, 3226, 18447, 585, 3237, 267, 2523, 609, 2029, 3001, 865, 3533, 563, 3383, 649, 693, 519, 715, 9915, 6717, 723, 2322, 1927, 930, 4388, 593, 875, 547, 11883, 952, 707, 1126, 568, 1373, 13032, 1221, 2228, 912, 10673, 1405, 1711, 11991, 3652, 454, 289, 8911, 707, 1126, 689, 2469, 2228, 568, 711, 519, 2626, 269, 898, 949, 1745, 899, 513, 10751, 543, 1223, 1118, 873, 1447, 2693, 547, 1476, 728, 538, 596, 269, 898, 1223, 849, 2759, 873, 1055, 689, 741, 1489, 3060, 540, 2828, 563, 5970, 606, 9237, 6643, 454, 307, 22736, 547, 707, 1126, 568, 519, 1655, 1747, 547, 1376, 269, 1234, 817, 1005, 873, 602, 789, 723, 4986, 547, 581, 19849, 21724, 267, 610, 11849, 3139, 827, 568, 1271, 269, 1280, 1453, 1447, 8348, 547, 1930, 909, 267, 4132, 1467, 568, 2141, 972, 547, 948, 563, 14399, 666, 1867, 10413, 995, 543, 13842, 995, 9708, 610, 6835, 547, 1514, 2923, 5121, 267, 543, 3625, 1004, 945, 616, 11648, 873, 2228, 269, 898, 666, 581, 4502, 4543, 873, 798, 713, 563, 13425, 707, 1126, 779, 7834, 5468, 454, 7197, 1514, 5121, 1450, 3755, 547, 1305, 741, 9043, 547, 2048, 1440, 10675, 685, 865, 602, 707, 1126, 568, 2111, 547, 6430, 945, 666, 1294, 741, 2272, 543, 945, 666, 1406, 269, 769, 1840, 267, 1034, 4609, 849, 723, 5468, 9013, 945, 568, 2111, 547, 1039, 596, 607, 513, 3659, 1107, 707, 1126, 1223, 1305, 621, 865, 602, 1100, 835, 568, 2111, 547, 1921, 609, 873, 8259, 707, 1126, 8591, 873, 1101, 269, 6423, 4880, 589, 2264, 585, 811, 1344, 827, 7834, 543, 8989, 5468, 593, 476, 2004, 540, 519, 1034, 2442, 4609, 267, 8924, 543, 3756, 1031, 676, 1762, 1004, 563, 2521, 543, 1205, 1543, 6569, 454, 2252, 519, 13032, 532, 3322, 513, 16770, 8763, 3239, 540, 513, 1762, 1268, 602, 814, 1044, 3838, 267, 1762, 1004, 666, 3346, 4132, 1467, 945, 786, 960, 609, 519, 5769, 13772, 7690, 547, 2119, 543, 1205, 519, 3239, 3144, 1524, 563, 4131, 519, 1318, 1004, 917, 454, 2252, 519, 11648, 568, 4947, 689, 9905, 693, 1153, 267, 3346, 519, 1153, 547, 1118, 873, 3222, 540, 621, 269, 1403, 519, 11648, 3322, 6937, 540, 5208, 267, 3346, 519, 7128, 563, 4002, 513, 811, 4052, 1377, 267, 4950, 3106, 3896, 6056, 340, 3104, 814, 5796, 585, 1762, 1004, 267, 1519, 513, 3391, 593, 875, 547, 1867, 13032, 625, 543, 13347, 1154, 2228, 9708, 547, 1514, 2923, 4609, 563, 9596, 827, 519, 10509, 454, 763, 715, 9915, 6717, 779, 2228, 3106, 927, 680, 710, 3091, 5796, 547, 3237, 593, 4376, 689, 519, 5767, 1514, 5121, 547, 4259, 909, 15366, 8060, 593, 707, 2780, 563, 18184, 909, 585, 707, 1453, 454, 8624, 937, 1947, 649, 991, 547, 581, 8380, 2604, 593, 6554, 543, 2872, 547, 798, 782, 789, 666, 547, 1118, 2386, 519, 4950, 568, 607, 2922, 513, 2230, 607, 2009, 585, 938, 7820, 5108, 547, 2170, 593, 563, 24426, 828, 24830, 3884, 1406, 2469, 2476, 269, 3767, 267, 621, 781, 909, 547, 782, 540, 721, 547, 2327, 519, 2228, 1158, 3085, 1405, 1831, 519, 13032, 625, 262, 19463, 19209, 563, 21609, 1467, 666, 581, 6603, 593, 476, 24699, 271, 476, 9340, 272, 610, 693, 8940, 269, 18876, 1467, 3820, 16896, 269, 634, 715, 9915, 6717, 2228, 3106, 927, 680, 710, 568, 476, 24699, 279, 476, 8517, 4335, 273, 543, 585, 811, 1344, 593, 519, 1514, 5121, 707, 1453, 616, 1210, 596, 666, 979, 547, 4178, 14492, 16477, 3820, 16896, 0, 300, 7495, 30204, 21598, 23814, 1635, 595, 823, 569, 16803, 454, 29309, 16803, 568, 606, 2150, 3931, 1902, 328, 278, 1807, 540, 2022, 8862, 541, 2342, 269, 1284, 723, 2938, 1200, 538, 5125, 543, 7977, 267, 543, 620, 268, 1498, 519, 3791, 2140, 6994, 2213, 593, 519, 12109, 3899, 540, 1200, 5767, 4320, 568, 834, 9509, 17547, 834, 649, 1265, 602, 1352, 814, 711, 11074, 2110, 540, 5333, 267, 799, 267, 1352, 2798, 856, 267, 568, 938, 14282, 16705, 543, 4061, 2352, 585, 606, 2296, 4050, 547, 2328, 540, 269, 1403, 7323, 16803, 786, 2347, 1200, 4663, 676, 4758, 721, 513, 268, 1433, 593, 7073, 4789, 1352, 786, 1287, 723, 12236, 1200, 31444, 3149, 269, 634, 1034, 2352, 2197, 585, 606, 2296, 4050, 547, 2328, 540, 1590, 581, 4789, 6902, 649, 917, 267, 610, 1589, 649, 917, 267, 865, 1454, 827, 621, 602, 513, 17400, 800, 16145, 693, 922, 2934, 786, 1152, 581, 533, 731, 19861, 952, 513, 4914, 518, 11339, 621, 269, 7323, 16803, 781, 7073, 5333, 630, 291, 550, 267, 476, 278, 338, 269, 476, 277, 323, 4700, 568, 6923, 711, 585, 3943, 5443, 269, 2701, 814, 1044, 2111, 543, 3742, 538, 10655, 1344, 827, 1514, 1272, 267, 2436, 713, 568, 7255, 609, 13864, 267, 519, 2799, 5191, 268, 540, 519, 14247, 2317, 5386, 267, 4108, 3028, 610, 519, 4567, 540, 1325, 338, 864, 268, 31240, 9627, 269, 2701, 10530, 513, 1279, 1349, 689, 513, 30732, 2280, 964, 268, 524, 1026, 532, 519, 18466, 514, 4603, 585, 2810, 519, 4332, 268, 3433, 269, 3657, 891, 13564, 1242, 1453, 547, 581, 1031, 607, 666, 12061, 535, 617, 1457, 7790, 7323, 16803, 5688, 12264, 3954, 625, 621, 6902, 543, 676, 4758, 981, 268, 726, 525, 540, 519, 4550, 21351, 1362, 268, 9248, 1031, 538, 3506, 1352, 11394, 547, 6961, 602, 5333, 568, 1100, 2113, 10560, 626, 267, 4352, 267, 910, 553, 513, 4182, 267, 1352, 3112, 7340, 1200, 7063, 610, 1200, 2924, 269, 901, 1058, 581, 556, 268, 1028, 1005, 267, 855, 1169, 2197, 666, 1459, 1079, 8188, 267, 543, 513, 6251, 543, 4514, 1353, 982, 7323, 16803, 814, 1185, 942, 585, 568, 556, 268, 844, 1600, 952, 519, 5013, 616, 547, 581, 2458, 730, 543, 519, 3020, 21274, 8268, 269, 0, 2005, 568, 4502, 3843, 585, 22254, 899, 596, 269, 4014, 713, 2022, 786, 1445, 811, 593, 1753, 24600, 799, 568, 2356, 2944, 538, 513, 1507, 10822, 267, 621, 1058, 581, 7074, 602, 2357, 6193, 558, 14006, 532, 666, 849, 581, 2944, 593, 513, 3677, 4336, 269, 898, 568, 2653, 547, 2226, 282, 16381, 1505, 16327, 24031, 568, 2944, 538, 29365, 1500, 540, 9160, 630, 276, 9943, 276, 9943, 274, 3952, 1040, 7054, 3419, 566, 1058, 581, 2944, 693, 606, 8884, 540, 476, 273, 4374, 269, 634, 17494, 267, 28945, 1570, 543, 3543, 894, 2339, 616, 24428, 538, 13719, 25510, 602, 616, 6854, 4988, 1317, 17494, 2057, 1769, 269, 24367, 2659, 21502, 545, 558, 14006, 532, 654, 768, 23642, 269, 21502, 545, 558, 14006, 568, 519, 1439, 1587, 4611, 689, 519, 23979, 540, 5214, 2339, 269, 769, 1840, 267, 519, 1587, 630, 591, 6193, 558, 14006, 264, 568, 4630, 18100, 269, 21502, 545, 558, 14006, 532, 568, 3395, 538, 8560, 543, 585, 1434, 2014, 269, 7831, 8745, 1547, 476, 16348, 17494, 1169, 476, 277, 3275, 689, 513, 2582, 1367, 269, 634, 1655, 17494, 547, 946, 538, 513, 2357, 6193, 558, 14006, 532, 5106, 616, 2699, 530, 24513, 6840, 269, 634, 1898, 3334, 540, 513, 1753, 2357, 6193, 558, 14006, 532, 1770, 9497, 591, 14741, 257, 815, 21431, 264, 616, 606, 7098, 730, 8708, 267, 930, 5848, 28945, 267, 543, 513, 1906, 8536, 2699, 17494, 269, 4595, 1250, 8250, 2729, 538, 606, 19887, 543, 568, 5461, 538, 24600, 267, 594, 6700, 513, 21431, 3484, 1788, 269, 713, 1184, 18327, 1655, 585, 2359, 540, 10051, 22837, 269, 11910, 2199, 5214, 3766, 731, 2287, 610, 824, 4677, 8637, 547, 1294, 952, 789, 6133, 17494, 269, 21502, 545, 558, 14006, 532, 269, 21502, 545, 558, 14006, 532, 540, 18812, 22415, 814, 8810, 547, 581, 513, 1360 ]

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

[ 267, 593, 519, 824, 1688, 267, 666, 581, 2944, 1210, 1585, 2409, 971, 607, 12511, 8321, 566, 267, 546, 7976, 543, 10826, 1777, 720, 630, 291, 261, 290, 1070, 543, 546, 7976, 543, 27549, 630, 291, 261, 292, 1916, 309, 659, 10840, 8321, 566, 3322, 519, 946, 540, 9543, 32137, 547, 4894, 519, 6379, 689, 519, 19786, 563, 291, 261, 290, 3322, 16150, 532, 519, 19786, 547, 4894, 519, 6379, 267, 1247, 667, 261, 292, 3322, 1210, 7405, 547, 4894, 519, 6379, 538, 2665, 1141, 621, 568, 1932, 2484, 2059, 585, 513, 12511, 8321, 566, 563, 763, 1826, 540, 519, 5650, 513, 1268, 23297, 786, 4096, 593, 1896, 2188, 267, 1519, 875, 2484, 2059, 519, 6379, 568, 267, 2123, 13283, 267, 543, 1569, 547, 2564, 6703, 563, 26502, 547, 2015, 1354, 2348, 519, 31761, 454, 13356, 4575, 547, 723, 606, 31761, 568, 513, 2123, 543, 1419, 1950, 3375, 267, 543, 972, 616, 1896, 2188, 602, 666, 3310, 513, 1268, 779, 3903, 269, 2368, 540, 891, 2188, 1331, 912, 268, 26579, 3942, 281, 634, 4505, 538, 519, 6379, 267, 519, 811, 3681, 513, 1268, 814, 585, 31761, 563, 268, 2657, 281, 589, 1268, 779, 1699, 1072, 543, 1022, 2564, 2175, 789, 723, 666, 1764, 519, 1826, 540, 31761, 5650, 789, 666, 723, 563, 268, 9608, 4978, 281, 589, 1268, 779, 5837, 267, 5683, 267, 543, 3909, 4978, 666, 1404, 513, 1713, 1909, 538, 741, 3375, 563, 268, 8081, 1062, 281, 11109, 513, 11215, 7649, 267, 1920, 267, 610, 3659, 666, 581, 1271, 585, 930, 1004, 563, 268, 5685, 1734, 281, 634, 1942, 540, 606, 16377, 543, 1644, 5773, 666, 581, 513, 1713, 7156, 585, 930, 1004, 563, 268, 7457, 547, 2533, 281, 16572, 543, 6042, 4478, 31761, 1569, 666, 4268, 689, 1533, 547, 1533, 543, 2197, 547, 2197, 267, 18363, 513, 1268, 779, 2702, 547, 3489, 606, 31761, 563, 2005, 568, 1271, 585, 2043, 547, 2015, 891, 543, 824, 2188, 1354, 1818, 513, 3375, 827, 16377, 563, 1805, 919, 1141, 16377, 568, 3656, 1299, 10363, 454, 6781, 10407, 4031, 543, 6042, 4268, 676, 2197, 543, 666, 1689, 936, 942, 563, 1103, 519, 2136, 2276, 267, 585, 1383, 267, 16377, 568, 3656, 896, 5313, 1876, 267, 855, 1367, 2829, 723, 1114, 9993, 543, 6042, 563, 5278, 2829, 723, 4031, 602, 3970, 1569, 547, 31761, 267, 1247, 1866, 723, 4031, 602, 2149, 543, 4228, 1569, 547, 2533, 563, 1805, 919, 971, 607, 4993, 267, 1715, 3840, 267, 543, 6115, 723, 4031, 602, 2149, 1569, 547, 16377, 267, 1247, 2829, 899, 23916, 267, 17039, 267, 543, 16713, 723, 21892, 4031, 602, 6615, 1569, 547, 16377, 563, 2005, 779, 1271, 547, 4063, 602, 519, 1850, 1275, 540, 31761, 568, 513, 6422, 543, 9687, 3390, 267, 543, 4031, 543, 6042, 666, 1689, 6385, 563, 2252, 596, 2461, 5275, 1344, 593, 519, 1699, 4031, 543, 6042, 538, 707, 1858, 267, 594, 1131, 4363, 32296, 513, 2199, 3782, 8502, 610, 14223, 3919, 585, 519, 1034, 909, 3562, 15082, 1344, 563, 1692, 1454, 1281, 606, 16377, 1942, 454, 763, 1942, 540, 606, 31761, 666, 4268, 4922, 4470, 593, 1896, 2188, 267, 971, 607, 1141, 596, 2661, 267, 875, 2484, 2059, 596, 616, 538, 707, 6379, 543, 519, 1826, 540, 31761, 5650, 596, 3442, 563, 1103, 519, 2136, 2276, 267, 519, 3328, 1942, 540, 513, 1101, 2389, 337, 30478, 31761, 693, 513, 16758, 568, 1472, 1269, 4335, 267, 4352, 5777, 666, 2039, 689, 1269, 4968, 547, 936, 1269, 272, 267, 1822, 563, 763, 1942, 540, 513, 10551, 16377, 1282, 519, 2034, 959, 30478, 666, 581, 3648, 2362, 267, 1419, 8151, 689, 1269, 272, 267, 4335, 547, 936, 1269, 274, 267, 1822, 563, 5278, 2829, 723, 4031, 602, 2154, 6142, 3549, 547, 3382, 519, 1942, 540, 31761, 267, 1247, 1866, 723, 4031, 602, 10238, 527, 6142, 3795, 585, 2533, 563, 1103, 1840, 267, 930, 7426, 949, 2709, 23510, 4336, 12375, 1759, 593, 513, 1268, 779, 4747, 267, 1247, 1866, 949, 2709, 2883, 6351, 547, 948, 3382, 519, 1942, 540, 606, 16377, 563, 2005, 779, 1271, 547, 2911, 547, 707, 3782, 8502, 610, 513, 2199, 16758, 827, 519, 1942, 540, 606, 16377, 543, 1018, 8569, 3681, 616, 2139, 563, 5445, 666, 849, 1683, 1344, 593, 2883, 6351, 543, 824, 2200, 602, 949, 581, 2139, 547, 948, 3382, 519, 1942, 540, 519, 5650, 563, 1432, 1281, 519, 23573, 2161, 827, 16377, 454, 763, 6426, 1281, 711, 2047, 2232, 519, 3390, 540, 16377, 267, 543, 972, 616, 1100, 1808, 18627, 602, 12799, 1533, 2436, 16377, 568, 4847, 610, 19275, 563, 2026, 513, 1267, 267, 1114, 4168, 29559, 543, 2043, 949, 723, 1114, 12496, 540, 1018, 519, 6426, 3081, 827, 31761, 563, 5278, 2043, 543, 3909, 2516, 3494, 602, 1272, 5956, 693, 17748, 267, 543, 4061, 2015, 621, 547, 581, 12638, 543, 513, 5609, 563, 5445, 949, 13712, 18627, 971, 607, 25360, 332, 476, 16928, 281, 1724, 268, 1626, 267, 799, 4766, 2696, 779, 1702, 543, 4027, 540, 513, 1268, 1256, 1354, 789, 616, 4535, 267, 547, 1489, 713, 21169, 563, 8448, 338, 3494, 602, 519, 6426, 4025, 513, 3152, 8561, 593, 7863, 519, 1272, 543, 1072, 540, 519, 3993, 267, 543, 949, 2070, 31761, 607, 513, 2556, 543, 1175, 16666, 4781, 538, 1978, 6381, 563, 5445, 949, 1448, 547, 18627, 971, 607, 31519, 476, 2641, 281, 2420, 268, 1839, 267, 799, 14574, 519, 10751, 585, 23139, 5945, 610, 2669, 1282, 513, 6379, 267, 547, 1489, 713, 21169, 563, 27407, 267, 519, 7664, 540, 519, 6426, 779, 18879, 593, 16377, 666, 4268, 4922, 1759, 593, 2123, 4978, 543, 3909, 14985, 563, 2005, 779, 1271, 585, 2043, 547, 2015, 741, 1378, 2418, 543, 4978, 267, 607, 1134, 607, 3343, 5583, 689, 11967, 5289, 3401, 543, 2200, 950, 1818, 3664, 827, 621, 563, 18439, 2806, 10407, 4521, 454, 6781, 10407, 4031, 543, 6042, 4268, 676, 2197, 543, 666, 1689, 936, 942, 269, 769, 2489, 267, 31761, 568, 14931, 676, 513, 4999, 540, 5313, 543, 1533, 4031, 267, 609, 930, 2477, 849, 2348, 4031, 602, 616, 1808, 547, 1978, 4525, 563, 1103, 930, 2477, 267, 971, 607, 519, 2136, 2276, 543, 519, 2136, 8003, 267, 16377, 568, 3656, 896, 1978, 6381, 267, 971, 607, 950, 519, 1272, 610, 1072, 540, 519, 3993, 568, 693, 1981, 267, 610, 950, 519, 6379, 568, 519, 1267, 540, 1651, 652, 610, 22149, 563, 1103, 824, 2477, 267, 971, 607, 8581, 543, 12996, 267, 16377, 568, 8185, 11658, 267, 609, 3908, 17756, 563, 763, 1533, 540, 7147, 814, 21892, 1896, 4031, 602, 10038, 543, 6615, 1569, 547, 16377, 2533, 269, 2368, 540, 891, 4031, 1331, 912, 268, 20613, 1746, 1974, 281, 7147, 1876, 3340, 513, 1268, 547, 7227, 476, 2190, 3108, 1310, 513, 15360, 609, 513, 3782, 8502, 1354, 2348, 519, 31761, 563, 268, 9977, 531, 9844, 281, 3687, 832, 538, 7147, 1590, 723, 519, 2854, 9844, 540, 513, 2385, 610, 3656, 27369, 1354, 2348, 519, 31761, 563, 268, 10163, 2774, 687, 593, 7426, 281, 7147, 814, 21892, 4031, 602, 1747, 9993, 593, 16377, 7426, 267, 1519, 4170, 585, 6413, 16153, 1154, 22864, 543, 4170, 602, 19190, 2743, 519, 4441, 540, 5605, 17419, 10551, 7740, 563, 268, 7799, 1080, 593, 6142, 3795, 281, 7147, 1876, 10238, 1080, 6142, 4566, 6035, 998, 519, 1533, 779, 1072, 6142, 19458, 689, 8720, 713, 2533, 267, 609, 3908, 17756, 563, 268, 14465, 593, 1978, 5773, 281, 7147, 1876, 10238, 1080, 1978, 5773, 267, 1519, 546, 7976, 543, 27549, 630, 291, 261, 292, 264, 705, 25344, 267, 609, 3908, 17756, 563, 2005, 779, 1271, 547, 4063, 602, 891, 4031, 616, 1641, 547, 1689, 543, 949, 581, 12936, 676, 5571, 3656, 2591, 563, 2252, 596, 616, 5275, 1344, 593, 519, 1699, 4031, 543, 6042, 538, 7147, 267, 594, 1131, 4363, 32296, 513, 2199, 3782, 8502, 610, 14223, 3919, 585, 519, 1034, 909, 3562, 15082, 1344, 563, 17954, 1136, 1524, 1455, 14868, 543, 20887, 827, 16377, 454, 6781, 10407, 568, 513, 11786, 543, 1950, 3390, 267, 543, 972, 616, 1082, 14868, 543, 20887, 4478, 621, 563, 2080, 616, 930, 540, 519, 1034, 1455, 14868, 543, 20887, 267, 2059, 609, 519, 5168, 3297, 873, 912, 300, 2814, 281, 2806, 10407, 568, 2141, 513, 5906, 543, 19408, 5650, 454, 15542, 281, 2755, 782, 2564, 5773, 4163, 930, 4220, 267, 2413, 31761, 5773, 5340, 676, 8036, 3782, 7426, 616, 3622, 2922, 543, 723, 1906, 8374, 563, 1103, 1249, 267, 31761, 814, 1044, 3254, 547, 581, 835, 540, 519, 32343, 2564, 5773, 2139, 563, 300, 2814, 281, 31761, 616, 5340, 2663, 538, 6379, 454, 15542, 281, 634, 5354, 540, 31761, 616, 5340, 538, 519, 1101, 959, 30478, 540, 6379, 267, 950, 519, 4220, 543, 8374, 616, 9803, 563, 763, 8244, 540, 2533, 949, 581, 11658, 2663, 538, 6379, 267, 1759, 593, 519, 4031, 543, 6042, 540, 513, 1880, 16278, 563, 300, 2814, 281, 2806, 25344, 616, 5340, 585, 13418, 610, 607, 513, 1106, 540, 4332, 1852, 454, 15542, 281, 634, 4128, 1946, 513, 1268, 949, 3442, 547, 723, 606, 16377, 616, 1950, 543, 666, 4268, 7494, 689, 1268, 547, 1268, 563, 5278, 1455, 4128, 1331, 2883, 16132, 267, 513, 3668, 540, 1569, 547, 2200, 610, 1489, 267, 543, 2564, 4145, 563, 300, 2814, 281, 621, 666, 2014, 1279, 3856, 3929, 2800, 454, 15542, 281, 2755, 519, 3375, 547, 723, 31761, 666, 581, 2352, 543, 3929, 267, 2090, 723, 3254, 602, 519, 5318, 5354, 540, 1004, 945, 723, 705, 25344, 798, 711, 1995, 1279, 3856, 2942, 5626, 2360, 563, 1103, 1249, 267, 1082, 1004, 1867, 4743, 17212, 1386, 543, 18507, 1310, 2348, 519, 31761, 563, 300, 2814, 281, 31761, 5340, 1210, 968, 14783, 1532, 9500, 892, 2409, 454, 15542, 281, 968, 8512, 658, 1532, 9500, 892, 31761, 568, 513, 2165, 1031, 676, 4550, 268, 629, 10407, 15156, 547, 4766, 513, 1808, 1826, 540, 16377, 5650, 602, 568, 711, 5340, 563, 1103, 1249, 267, 519, 5650, 5219, 547, 607, 968, 14783, 1532, 9500, 892, 31761, 729, 17049, 538, 519, 2136, 2276, 538, 476, 1220, 274, 267, 543, 568, 711, 513, 4122, 1031, 610, 7608, 2564, 2165, 563, 2005, 779, 1271, 547, 1174, 519, 5013, 827, 16377, 543, 547, 3343, 4977, 267, 2963, 2861, 1344, 950, 1818, 3664, 827, 10285, 1072, 563, 763, 2104, 540, 1569, 543, 2924, 454, 763, 2104, 540, 31761, 1569, 543, 2924, 568, 513, 1950, 543, 6385, 9687, 3390, 563, 4415, 4657, 2797, 543, 1514, 8456, 267, 607, 1134, 607, 8441, 538, 2564, 2029, 267, 519, 5251, 540, 31761, 2924, 543, 1569, 568, 7683, 538, 13441, 563, 1103, 930, 2477, 267, 972, 568, 513, 3395, 7678, 2509, 3152, 1569, 547, 2922, 543, 3656, 31761, 2533, 267, 609, 6608, 543, 14223, 2516, 2324, 547, 2087, 1569, 547, 2200, 543, 1489, 585, 1346, 5275, 31761, 563, 1103, 824, 2477, 267, 2705, 267, 972, 568, 513, 7678, 2509, 5051, 25516, 4031, 543, 6042, 267, 799, 949, 3970, 1569, 547, 713, 2533, 543, 2333, 519, 4220, 2404, 609, 519, 5650, 563, 763, 2104, 540, 31761, 2924, 543, 1569, 786, 581, 8032, 676, 513, 1297, 540, 2188, 267, 1519, 8441, 538, 2564, 2029, 267, 13346, 2797, 543, 1514, 8456, 267, 543, 519, 3527, 540, 14223, 2516, 543, 6608, 563, 1103, 519, 4947, 1296, 267, 621, 786, 581, 1271, 547, 3136, 547, 6895, 543, 4497, 609, 891, 2152, 547, 2327, 602, 1569, 547, 2922, 543, 3656, 31761, 2533, 3788, 2139, 585, 1346, 945, 991, 621, 563, 29771, 3776, 962, 19834, 19305, 2433, 4179, 2517, 4178, 28938, 2593, 270, 287, 29729, 24610, 0, 1103, 2487, 1296, 267, 519, 1297, 540, 1004, 936, 519, 2085, 540, 476, 4649, 945, 4497, 538, 5026, 2238, 814, 2799, 269, 769, 1840, 267, 5026, 15731, 723, 2938, 1082, 13649, 525, 6318, 741, 16034, 547, 3251, 538, 3337, 267, 8488, 519, 5739, 2360, 540, 519, 8574, 540, 942, 543, 723, 1187, 563, 5475, 476, 4649, 267, 1018, 2186, 540, 7328, 666, 596, 798, 286, 1548, 15416, 1058, 581, 3144, 547, 2057, 10913, 888, 3963, 1281, 10172, 2569, 18942, 2773, 888, 763, 3123, 540, 10172, 616, 5393, 1950, 543, 3744, 616, 1869, 2324, 593, 3843, 547, 4194, 519, 13655, 269, 2201, 519, 824, 1688, 267, 922, 2360, 593, 519, 1560, 543, 519, 4539, 593, 2168, 5759, 616, 1134, 1634, 563, 288, 3101, 540, 519, 8401, 1062, 454, 4415, 519, 9868, 540, 513, 1906, 1808, 2127, 267, 2634, 543, 11983, 10260, 2281, 798, 711, 16956, 4733, 1310, 519, 1101, 1296, 540, 1272, 269, 634, 1297, 540, 8229, 2281, 267, 11409, 267, 568, 7683, 13302, 269, 901 ]

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

[ 6373, 267, 799, 729, 519, 10720, 779, 1106, 538, 13076, 609, 519, 6805, 6887, 269, 3767, 267, 968, 322, 20403, 892, 1797, 968, 335, 17274, 892, 538, 5053, 267, 2705, 789, 4769, 1406, 917, 5053, 1310, 789, 3957, 519, 10720, 269, 8235, 570, 12792, 20403, 568, 849, 1572, 519, 968, 289, 9500, 2897, 540, 519, 9891, 892, 543, 519, 968, 289, 9500, 2897, 540, 519, 5549, 553, 1848, 8342, 333, 1512, 6190, 267, 519, 2677, 16331, 611, 3266, 5211, 267, 799, 8928, 883, 968, 299, 820, 7313, 641, 6759, 2223, 568, 519, 835, 1216, 1683, 585, 8235, 570, 12792, 20403, 563, 280, 269, 8235, 2598, 1952, 2002, 618, 454, 298, 2794, 1575, 842, 559, 8235, 267, 1101, 3957, 8235, 2598, 1952, 2002, 618, 267, 568, 606, 1439, 528, 515, 545, 29649, 10720, 538, 5375, 5245, 779, 15815, 321, 4673, 1858, 269, 8235, 2598, 1952, 2002, 618, 568, 10199, 476, 5908, 5195, 610, 476, 4968, 12919, 7532, 540, 1715, 2006, 543, 568, 5180, 476, 4200, 5195, 610, 476, 8182, 12919, 17890, 269, 769, 476, 6245, 277, 267, 24413, 7671, 30567, 3957, 519, 10720, 968, 299, 820, 2598, 1952, 2002, 618, 892, 1310, 1010, 29359, 950, 1739, 524, 872, 802, 5275, 513, 15195, 10720, 269, 634, 10720, 4667, 547, 723, 1044, 8032, 30289, 547, 21625, 1373, 24571, 3022, 676, 3833, 513, 1906, 2609, 267, 1927, 609, 546, 17480, 267, 1219, 3175, 267, 543, 29684, 3635, 269, 31035, 689, 5393, 5848, 546, 15342, 1175, 899, 519, 476, 5002, 271, 17160, 543, 513, 1297, 540, 1699, 9341, 6632, 12405, 2094, 476, 3422, 278, 267, 519, 476, 3451, 267, 1822, 13463, 551, 732, 630, 11025, 267, 1822, 14092, 516, 264, 10720, 568, 7363, 3819, 269, 634, 10720, 568, 1271, 547, 519, 6742, 340, 11570, 585, 1875, 16712, 30060, 3252, 543, 585, 5356, 1216, 543, 5065, 8286, 563, 1015, 269, 8235, 7313, 641, 6759, 454, 299, 820, 7313, 641, 6759, 267, 610, 1100, 1447, 982, 1317, 621, 729, 5219, 547, 607, 267, 814, 513, 2347, 6989, 2230, 540, 476, 272, 267, 22446, 13483, 269, 5195, 630, 274, 267, 4489, 13483, 269, 12919, 1040, 634, 10720, 729, 2899, 3162, 3013, 779, 2034, 28376, 267, 855, 621, 15983, 814, 18374, 4628, 12015, 909, 269, 634, 2677, 16331, 611, 3266, 5211, 1031, 547, 3049, 621, 267, 11423, 519, 2479, 331, 8463, 513, 851, 540, 519, 10720, 267, 799, 568, 5180, 476, 4375, 272, 13483, 269, 5195, 610, 476, 272, 267, 1822, 13483, 269, 12919, 269, 634, 10720, 1131, 12492, 827, 476, 3583, 12919, 17890, 2429, 5848, 12405, 267, 6190, 547, 1266, 5285, 513, 6263, 4182, 899, 24006, 10603, 32490, 269, 590, 2117, 16484, 267, 899, 922, 2140, 267, 519, 10720, 1631, 1223, 581, 1631, 711, 513, 26430, 540, 1216, 2705, 513, 2527, 540, 544, 28854, 12406, 269, 769, 1699, 513, 1279, 942, 267, 922, 1216, 3942, 814, 12628, 267, 543, 4432, 715, 18480, 13251, 621, 547, 3819, 909, 538, 476, 1001, 276, 269, 634, 11782, 779, 2034, 28376, 10720, 568, 1631, 2370, 3152, 982, 513, 30644, 16095, 16435, 728, 563, 258, 293, 18365, 5006, 1948, 2171, 2273, 1948, 301, 3139, 1948, 299, 1389, 1948, 13328, 0, 2171, 946, 519, 4082, 5721, 540, 2219, 547, 3277, 547, 519, 1184, 540, 3206, 827, 513, 5311, 540, 4448, 2093, 269, 1284, 1419, 946, 713, 4082, 547, 3277, 547, 606, 796, 5793, 32152, 2095, 540, 2093, 267, 610, 519, 1646, 540, 513, 1899, 540, 7744, 538, 938, 2247, 563, 1607, 4082, 666, 581, 1031, 538, 6101, 543, 13016, 5468, 267, 543, 568, 1031, 3833, 4749, 538, 1312, 269, 4014, 5721, 540, 2219, 12211, 547, 519, 11144, 540, 835, 2219, 547, 1776, 267, 649, 2356, 946, 713, 4082, 950, 602, 1184, 814, 1044, 29169, 538, 930, 1259, 269, 1284, 849, 946, 621, 950, 649, 1616, 547, 2057, 1373, 29169, 856, 540, 4250, 540, 30534, 513, 1434, 1448, 610, 2856, 269, 21541, 540, 2219, 568, 1419, 19610, 609, 519, 8231, 834, 331, 846, 1701, 1280, 1383, 912, 268, 3733, 5067, 29169, 803, 1247, 594, 729, 1603, 1250, 2079, 267, 543, 1631, 594, 4076, 4503, 1250, 5721, 540, 2219, 563, 268, 590, 13446, 1862, 1018, 729, 594, 1175, 6031, 286, 594, 3893, 26531, 676, 606, 4757, 543, 4503, 1250, 5721, 540, 2219, 563, 288, 281, 1684, 596, 2247, 952, 594, 14443, 13713, 286, 594, 8910, 899, 547, 1039, 513, 6085, 547, 519, 1448, 602, 596, 1175, 1500, 563, 289, 269, 17610, 269, 2913, 803, 1175, 9096, 1250, 5721, 540, 2219, 543, 1287, 596, 666, 2671, 707, 5955, 563, 12441, 596, 917, 286, 901, 4082, 729, 1101, 6592, 538, 476, 13679, 272, 676, 519, 14544, 7338, 20122, 15816, 269, 634, 2262, 834, 30221, 257, 729, 1031, 547, 11168, 606, 1931, 569, 5311, 2147, 547, 5721, 1286, 17699, 602, 6410, 1927, 267, 835, 676, 835, 267, 538, 519, 1482, 4287, 269, 0, 30356, 16214, 540, 29725, 520, 1670, 13262, 11790, 538, 29158, 13870, 538, 519, 7147, 4400, 26111, 16323, 454, 18404, 611, 520, 657, 7197, 32057, 1714, 7373, 549, 1264, 1729, 1642, 3331, 511, 339, 655, 454, 291, 3754, 543, 3665, 5210, 5401, 17215, 1271, 20214, 538, 10286, 543, 6775, 2504, 540, 1034, 6694, 7031, 269, 11087, 2388, 616, 1419, 1713, 543, 666, 1291, 547, 2883, 7411, 585, 12696, 543, 538, 519, 6626, 4346, 269, 18926, 543, 1859, 13011, 9382, 941, 1031, 547, 7447, 519, 1871, 540, 10412, 6775, 4503, 12422, 547, 8143, 543, 13247, 2566, 538, 606, 1858, 540, 7147, 602, 7472, 936, 476, 736, 2600, 540, 519, 4182, 779, 10412, 7693, 269, 634, 6059, 1871, 540, 4503, 10412, 6775, 538, 519, 7147, 4400, 26111, 16323, 729, 1336, 547, 581, 827, 1269, 9262, 2929, 269, 23227, 908, 519, 2956, 540, 6683, 547, 519, 7147, 4346, 267, 519, 1269, 9262, 2929, 2530, 538, 519, 1871, 540, 10412, 2504, 12958, 606, 6059, 1269, 27768, 2929, 5993, 1198, 593, 519, 2949, 7147, 4346, 269 ]

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

[ 9213, 267, 621, 568, 7543, 547, 3802, 2066, 25260, 779, 12197, 1510, 29937, 532, 513, 5672, 515, 974, 269, 4107, 540, 621, 568, 4988, 538, 5394, 8126, 956, 540, 24917, 903, 22976, 267, 555, 1941, 26965, 543, 10053, 896, 29115, 269, 16140, 16225, 568, 3006, 5309, 9822, 730, 676, 11935, 269, 769, 519, 1034, 21986, 762, 6810, 267, 596, 666, 588, 18443, 2066, 519, 18205, 12508, 540, 1004, 12617, 538, 519, 2038, 476, 3422, 271, 338, 269, 2368, 4408, 616, 18106, 269, 2368, 726, 659, 1841, 3274, 1224, 267, 968, 4462, 4385, 892, 610, 968, 4462, 4385, 23862, 3034, 30812, 1431, 693, 519, 6444, 851, 540, 25260, 779, 568, 1152, 851, 540, 519, 1966, 269, 19866, 11673, 540, 23937, 547, 519, 28200, 798, 711, 735, 677, 609, 519, 2413, 267, 6444, 6302, 267, 543, 1950, 3656, 11673, 538, 476, 5197, 271, 338, 23339, 1039, 10539, 269, 589, 3102, 5619, 1131, 581, 2556, 547, 1174, 519, 3020, 6302, 540, 25260, 779, 12197, 563, 298, 5271, 514, 623, 1901, 267, 4171, 6109, 22630, 1299, 623, 1901, 16136, 1177, 519, 18840, 1670, 8851, 540, 1480, 3788, 689, 6115, 5244, 1282, 922, 22058, 566, 267, 3081, 602, 646, 4122, 9060, 8978, 524, 655, 2678, 625, 538, 11882, 538, 513, 1533, 540, 695, 617, 11276, 10714, 267, 543, 602, 3020, 6302, 616, 4749, 25619, 269, 898, 5526, 2009, 602, 851, 540, 606, 19887, 1950, 543, 513, 30834, 1707, 949, 581, 9361, 593, 1283, 540, 513, 1178, 3272, 731, 563, 6624, 2829, 267, 1519, 17996, 543, 18518, 267, 723, 4031, 602, 2149, 20258, 3788, 538, 14460, 1178, 3272, 1841, 543, 7111, 1977, 19746, 12406, 267, 855, 11882, 1281, 711, 269, 634, 1533, 16034, 693, 519, 968, 321, 18847, 540, 519, 1592, 892, 585, 7863, 891, 4609, 267, 2687, 547, 21142, 29139, 31899, 540, 519, 11882, 16329, 1670, 7027, 269, 1703, 616, 606, 6059, 476, 1704, 267, 1822, 29680, 610, 14460, 19746, 12406, 538, 11882, 267, 543, 519, 5411, 540, 519, 2244, 666, 1521, 891, 4609, 609, 607, 1454, 610, 607, 2370, 2463, 607, 789, 3442, 563, 307, 517, 31899, 814, 1044, 2324, 547, 1689, 713, 585, 936, 476, 1789, 1296, 267, 27490, 3650, 532, 9086, 602, 814, 21959, 1229, 513, 13384, 528, 538, 519, 11882, 3557, 5264, 10199, 2899, 513, 8717, 2094, 476, 1960, 271, 269, 3962, 942, 267, 17837, 723, 1193, 22931, 519, 6069, 12014, 538, 741, 524, 1026, 338, 269, 11374, 1296, 540, 4901, 543, 14207, 547, 4300, 848, 3906, 1519, 519, 11882, 12426, 13163, 267, 7087, 11031, 543, 519, 11882, 7464, 24529, 8189, 267, 519, 1034, 2487, 8908, 540, 513, 19746, 3915, 814, 2097, 20991, 982, 1022, 540, 922, 21530, 25600, 269, 898, 729, 593, 519, 524, 22273, 540, 1373, 5189, 547, 519, 11882, 22694, 1155, 950, 5046, 268, 866, 5734, 269, 29139, 31899, 3788, 15891, 13124, 23904, 827, 519, 16548, 540, 519, 1699, 4528, 540, 519, 3915, 267, 855, 922, 12556, 568, 7334, 563, 1103, 595, 32385, 10620, 267, 25260, 779, 12197, 729, 711, 513, 10862, 1256, 1354, 5046, 268, 866, 5280, 13544, 519, 2749, 779, 17211, 909, 547, 1472, 1269, 10037, 2929, 269, 6424, 31133, 560, 21392, 267, 945, 19622, 607, 595, 32385, 10620, 20088, 685, 8092, 5004, 543, 12124, 32645, 15440, 538, 476, 1001, 280, 267, 814, 1044, 835, 540, 1896, 20088, 5520, 945, 723, 1044, 30223, 676, 519, 2175, 693, 25260, 779, 12197, 585, 1296, 269, 1261, 26195, 2888, 513, 23498, 267, 16614, 267, 4104, 539, 2230, 563, 4913, 267, 693, 1459, 267, 31133, 560, 21392, 4967, 602, 20088, 1281, 711, 723, 513, 6578, 610, 513, 1544, 585, 4509, 25260, 779, 12197, 267, 543, 968, 531, 2865, 3388, 593, 519, 2244, 568, 606, 12362, 2249, 3034, 1103, 519, 9000, 540, 1022, 1533, 1876, 12044, 519, 2126, 540, 1480, 3788, 267, 875, 519, 4975, 540, 595, 32385, 10620, 13000, 519, 4666, 538, 25260, 779, 12197, 267, 1312, 519, 6444, 543, 11389, 322, 1758, 1242, 13980, 267, 568, 17033, 513, 2243, 540, 13919, 543, 546, 13388, 1782, 2200, 269, 1403, 972, 568, 513, 3070, 602, 786, 6368, 3142, 519, 11317, 540, 25260, 779, 12197, 519, 2596, 15683, 602, 1058, 2097, 609, 1373, 1480, 267, 621, 568, 2922, 547, 8263, 602, 519, 3070, 786, 2154, 5718, 689, 3544, 540, 4975, 8065, 543, 513, 2707, 540, 4357, 7616, 563, 28646, 519, 5046, 268, 866, 6855, 543, 519, 1644, 10779, 885, 540, 476, 1708, 271, 786, 32570, 513, 1007, 2631, 540, 8103, 585, 1346, 945, 1964, 538, 25260, 779, 12197, 267, 11121, 595, 32385, 520, 2103, 547, 6430, 602, 1100, 835, 779, 3965, 1058, 581, 3954, 580, 3603, 3274, 1317, 789, 4734, 713, 1158, 1510, 2614, 2724, 547, 4444, 513, 4729, 540, 8628, 1483, 10040, 269, 634, 12918, 616, 30528, 1996, 621, 267, 855, 6148, 713, 2749, 786, 6368, 2322, 606, 1439, 547, 3592, 476, 10204, 1296, 540, 771, 6588, 576, 995, 10714, 563, 28061, 667, 269, 21546, 568, 519, 7022, 540, 10348, 4975, 3778, 543, 4065, 282, 513, 1225, 1807, 540, 519, 595, 32385, 10620, 30179, 532, 11595, 20417, 282, 2278, 540, 595, 32385, 10620, 2142, 518, 543, 3683, 7308, 7304, 21331, 281, 1879, 2142, 518, 12984, 3751, 282, 18607, 282, 543, 7755, 9417, 7548, 693, 519, 2160, 540, 595, 32385, 10620, 269, 0, 5978, 5959, 2319, 15565, 602, 938, 2550, 11453, 741, 4522, 693, 2547, 7466, 513, 1554, 267, 543, 19568, 2899, 829, 1554, 269, 11153, 14868, 827, 29781, 32736, 543, 938, 31747, 24782, 1419, 6108, 942, 7006, 2454, 891, 1282, 938, 2550, 262, 20499, 269, 4653, 267, 649, 2491, 1946, 29781, 568, 865, 1271, 543, 1946, 596, 1058, 711, 18178, 621, 563, 14187, 5711, 9882, 2337, 596, 1832, 707, 5023, 2635, 267, 7303, 5959, 9178, 543, 10733, 2068, 269, 3371, 267, 938, 31747, 24782, 2491, 875, 513, 2635, 5023, 666, 3565, 547, 1732, 2949, 1072, 543, 8171, 607, 1134, 563, 6624, 1004, 616, 3222, 602, 17678, 543, 29781, 616, 5227, 676, 24782, 607, 1898, 2609, 540, 513, 1434, 5711, 9882, 6296, 269, 1717, 267, 930, 2550, 616, 15458, 593, 519, 32067, 3877, 267, 971, 607, 799, 1931, 789, 1058, 581, 2944, 538, 267, 610, 952, 835, 568, 811, 1271, 982, 519, 824, 269, 3371, 267, 938, 31747, 24782, 1865, 17678, 543, 29781, 538, 1469, 269, 0, 2691, 8939, 3211, 585, 476, 278, 628, 3446, 1514, 2090, 267, 621, 779, 1271, 547, 1413, 585, 1346, 602, 786, 4497, 519, 2875, 543, 4161, 1010, 1702, 269, 15765, 1565, 666, 581, 6913, 676, 9001, 513, 3099, 540, 3450, 2553, 269, 2755, 1514, 2090, 1281, 711, 8209, 1445, 593, 4984, 610, 2229, 267, 621, 1281, 4001, 519, 2875, 547, 1174, 824, 1004, 269, 901, 568, 513, 2556, 5578, 585, 513, 2875, 547, 1831, 606, 5483, 2518, 12504, 269, 1717, 267, 713, 1281, 711, 1611, 602, 3211, 1058, 581, 19309, 267, 543, 596, 3580, 1265, 602, 707, 1053, 4465, 1406, 1616, 547, 9096, 873, 563, 1103, 519, 2136, 2276, 267, 596, 3580, 1265, 513, 2647, 3099, 540, 1514, 2090, 3211, 269, 1452, 25258, 616, 13988, 609, 5871, 11759, 11621, 269, 634, 3804, 540, 4317, 5525, 568, 547, 1118, 1053, 3222, 540, 741, 1747, 538, 519, 1158, 267, 543, 547, 1831, 3743, 2518, 4961, 269, 4653, 779, 6176, 6520, 814, 1500, 14051, 513, 4641, 267, 543, 713, 666, 581, 2944, 676, 1565, 827, 11585, 543, 1699, 2621, 269, 6096, 585, 1514, 2090, 849, 4001, 1053, 875, 547, 1118, 4296, 1063, 2477, 543, 4529, 563, 278, 628, 6103, 4317, 5525, 6096, 7300, 454, 2691, 7446, 3211, 585, 476, 278, 628, 3446, 1514, 2090, 267, 1118, 2386, 547, 2307, 707, 4116, 827, 1022, 14327, 269, 769, 1514, 2090, 267, 19696, 2959, 568, 513, 1590, 267, 865, 621, 779, 2629, 547, 2285, 5491, 547, 519, 1004, 945, 723, 2854, 827, 519, 1888, 269, 6684, 267, 596, 3580, 1616, 547, 5000, 707, 15032, 547, 1039, 741, 8292, 607, 1134, 865, 602, 789, 666, 1174, 519, 1888, 1732, 269, 898, 779, 2629, 547, 1491, 519, 942, 547, 1224, 998, 707, 1514, 2090, 23519, 543, 519, 3211, 538, 1931, 547, 581, 4628, 5423, 585, 1362, 563, 2791, 666, 849, 1413, 585, 1514, 2090, 3211, 602, 616, 1863, 547, 4647, 269, 30180, 9359, 2488, 513, 3099, 540, 7792, 1514, 2090, 3211, 267, 8720, 3584, 8151, 689, 13909, 20514, 547, 5808, 12984, 9410, 13162, 3751, 12789, 269, 543, 811, 269, 1452, 2238, 616, 1187, 585, 1053, 547, 2347, 543, 948, 873, 1451, 1018, 789, 4076, 4121, 269, 1924, 1810, 1406, 1577, 519, 2566, 540, 513, 4928, 1514, 2090, 3992, 1205, 596, 1524, 269, 5502, 267, 1118, 1565, 1187, 609, 1863, 7792, 1514, 2090, 3211, 2336, 2026, 2484, 607, 6437, 568, 7255, 267, 519, 1514, 2090, 5396, 538, 18749, 3446, 786, 1445, 593, 519, 1158, 779, 2101, 2551, 7740, 269, 769, 1840, 547, 2596, 1702, 540, 11585, 267, 1053, 786, 849, 1451, 827, 519, 1480, 1604, 267, 9297, 267, 2916, 267, 543, 2229, 269, 595, 643, 923, 568, 513, 1883, 1858, 602, 2337, 1053, 1174, 875, 6608, 960, 543, 875, 4031, 616, 1500, 269, 2353, 540, 713, 568, 513, 2629, 851, 540, 513, 2875, 779, 2069, 269, 1411, 666, 1265, 1863, 3211, 585, 476, 278, 628, 3446, 1514, 2090, 1934, 563, 5278, 540, 519, 7317, 3211, 1331, 513, 3460, 1472, 519, 476, 2004, 2829, 267, 609, 6755, 601, 2100, 3212, 629, 1328, 3478, 4503, 269, 11524, 1331, 10145, 543, 13042, 7851, 540, 5245, 543, 1715, 10215, 267, 607, 1134, 607, 4516, 779, 16899, 543, 3854, 269, 2368, 540, 891, 2200, 849, 2270, 3211, 593, 519, 18173, 1272, 4783, 269, 1703, 616, 849, 513, 3099, 540, 2257, 3211, 585, 707, 476, 278, 628, 17603, 267, 1519, 8760, 540, 2831, 543, 2241, 6191, 563, 2690, 519, 3483, 540, 1620, 519, 1699, 2621, 543, 519, 1004, 543, 2621, 602, 616, 7133, 519, 1158, 2221, 267, 1053, 991, 547, 1451, 827, 519, 1114, 8371, 540, 2229, 269, 1280, 3236, 267, 519, 2136, 2276, 2229, 568, 7745, 1524, 883, 519, 1585, 8371, 267, 543, 1053, 1451, 827, 519, 9139, 543, 1883, 3140, 6054, 899, 519, 9291, 540, 7126, 269, 634, 1514, 9443, 849, 948, 1053, 1020, 2565, 3206, 543, 10763, 1983, 269, 11086, 267, 891, 616, 519, 5748, 540, 1022, 2104, 2069, 563, 10743, 1058, 849, 917, 827, 519, 4583, 17701, 971, 607, 19090, 267, 7395, 749, 534, 267, 23634, 14162, 267, 543, 7395, 749, 534, 269, 769, 1840, 547, 1565, 827, 891, 17701, 267, 789, 1058, 581, 5432, 609, 2244, 845, 6863, 267, 971, 607, 8544, 320, 267, 29415, 267, 18962, 267, 543, 29415, 269, 901, 1702, 786, 948, 873, 1174, 519, 10923, 4525, 540, 519, 1158, 269, 4635, 476, 278, 628, 6103, 4317, 5525, 6096, 585, 5664, 3427, 786, 948, 707, 1053, 4487, 891, 2035, 538, 519, 1655, 2009, 1259, 269, 0, 26594, 28924, 762, 5811, 10607, 2542, 1983, 454, 303, 3233, 3988, 267, 581, 789, 1453, 610, 4079, 267, 723, 1419, 18486, 741, 2542, 1377, 693, 519, 3942, 1141, 3476, 1913, 991, 547, 581, 1232, 10757, 269, 1358, 536, 1779, 693, 519, 3259, 540, 513, 2262, 269, 1358, 1419, 11571, 2066, 782, 519, 5022, 1818, 3552, 7058, 525, 269, 1717, 267, 1346, 609, 21260, 4938, 629, 983, 625, 1419, 3111, 609, 713, 1505, 563, 20091, 3564, 519, 12729, 1377, 454, 2691, 1453, 4283, 6281, 2069, 519, 2542, 7411, 540, 1641, 1257, 2835, 4679, 269, 10251, 267, 713, 568, 1419, 519, 3942, 693, 799, 930, 2043, 2887, 3297, 538, 741, 2542, 543, 10259, 1983, 563, 288, 3730, 1259, 540, 5466, 741, 4250, 540, 3476, 1913, 568, 547, 948, 873, 547, 21028, 1114, 27612, 2010, 269, 24664, 1176, 267, 693, 519, 14724, 1377, 267, 972, 616, 1175, 3670, 2010, 540, 24424, 547, 1831, 5432, 609, 269, 23779, 540, 1346, 1114, 27612, 2010, 786, 948, 606, 1367, 1232, 1712, 3818, 1606, 22690, 762, 1913, 811, 3362, 269, 1358, 2253, 547, 1174, 602, 1279, 7294, 1913, 616, 3274, 12673, 540, 4448, 24424, 269, 13876, 2358, 519, 3270, 540, 1114, 24424, 2306, 519, 29852, 540, 971, 1913, 1447, 18447, 563, 4910, 1830, 547, 2087, 519, 29852, 540, 3818, 1606, 22690, 762, 1913, 454, 306, 22690, 762, 5811, 6663, 547, 4001, 2043, 547, 946, 741, 4064, 547, 3343, 856, 1346, 2834, 3270, 538, 1913, 269, 634, 3670, 2010, 540, 24424, 616, 912, 268, 1930, 24424, 454, 268, 6806, 24424, 454, 268, 3803, 27901, 2048, 548, 685, 630, 323, 548, 267, 6926, 267, 1579, 3092, 3738, 1910, 961, 1963, 454, 268, 20262, 2048, 337, 685, 4999, 630, 541, 267, 610, 269, 2144, 267 ]

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

[ 476, 275, 269, 278, 2929, 4892, 6039, 1282, 519, 2112, 543, 476, 14138, 267, 276, 1626, 941, 7166, 630, 3467, 982, 3368, 538, 1875, 10687, 321, 520, 7972, 264, 543, 811, 982, 476, 1220, 267, 1822, 20754, 267, 621, 568, 1100, 3476, 513, 3965, 585, 1034, 269, 3933, 3701, 547, 6406, 2782, 1252, 1023, 543, 2462, 18189, 338, 547, 519, 10476, 2782, 543, 2622, 2782, 4083, 11419, 519, 3854, 779, 32041, 543, 16973, 563, 13328, 2782, 594, 286, 3502, 865, 1454, 563, 10214, 865, 267, 519, 1298, 27812, 540, 519, 2136, 3557, 779, 7127, 883, 602, 2112, 786, 581, 16434, 569, 16033, 730, 1985, 1032, 267, 543, 609, 513, 2462, 16713, 6335, 563, 2108, 13328, 2782, 594, 814, 1044, 2186, 540, 1433, 2105, 1063, 519, 6406, 2782, 543, 2622, 2782, 4083, 2223, 1767, 27508, 962, 1442, 15625, 267, 513, 4108, 1686, 11285, 693, 519, 2817, 19964, 543, 19475, 10029, 269, 968, 288, 2603, 540, 1654, 1206, 3357, 1394, 543, 2760, 4941, 547, 2911, 827, 621, 269, 15526, 543, 741, 23013, 729, 3843, 547, 15476, 513, 1433, 593, 519, 6406, 2782, 269, 1635, 519, 942, 649, 941, 4712, 547, 9784, 1496, 13328, 2782, 594, 3910, 2622, 2782, 4083, 3357, 2059, 3034, 312, 1442, 15625, 568, 519, 2278, 540, 513, 1433, 827, 16713, 5065, 3627, 968, 14937, 10793, 892, 6431, 3107, 267, 945, 3366, 519, 1977, 30609, 819, 776, 10414, 602, 512, 5792, 519, 2112, 585, 519, 3943, 543, 3703, 1996, 5125, 563, 763, 1433, 267, 968, 293, 677, 344, 4149, 16838, 17963, 281, 1215, 6431, 3107, 779, 2782, 19144, 595, 877, 540, 6520, 547, 4347, 324, 520, 519, 4436, 8136, 538, 2622, 2782, 594, 2223, 568, 827, 519, 11135, 540, 2725, 2224, 5025, 337, 12455, 928, 267, 519, 1973, 5006, 2479, 585, 606, 1977, 7952, 269, 589, 2929, 4892, 4682, 909, 1996, 513, 25982, 4436, 8136, 543, 11124, 476, 2918, 267, 1822, 7972, 543, 811, 982, 476, 8099, 267, 1822, 20754, 1354, 4543, 547, 3196, 21704, 563, 8333, 13579, 725, 538, 2342, 543, 2066, 519, 2136, 2276, 1985, 1032, 786, 2119, 547, 556, 11779, 548, 3007, 547, 519, 772, 2529, 269, 7127, 538, 519, 2112, 267, 799, 729, 10692, 609, 2527, 539, 20679, 538, 27337, 881, 2175, 267, 609, 2367, 7166, 676, 519, 1850, 687, 538, 3046, 5523, 2914, 1600, 543, 3684, 3766, 684, 1606, 933, 696, 1100, 17907, 779, 3338, 269, 18776, 729, 1419, 6027, 538, 18126, 540, 2666, 12349, 609, 9937, 540, 5215, 540, 4666, 543, 20754, 563, 4002, 4989, 476, 277, 268, 279, 267, 16033, 725, 540, 519, 772, 2529, 269, 7127, 538, 519, 2112, 630, 6518, 3459, 538, 476, 4489, 275, 264, 786, 581, 6825, 538, 772, 2529, 269, 2377, 817, 625, 538, 2342, 267, 543, 693, 513, 968, 24445, 547, 1488, 916, 892, 10554, 693, 519, 2817, 2622, 2782, 594, 7467, 543, 17341, 538, 17857, 4975, 269, 589, 862, 655, 2610, 540, 772, 2529, 269, 5794, 6796, 786, 581, 4371, 602, 1482, 15964, 693, 7665, 6202, 5794, 10414, 12476, 538, 27293, 267, 1325, 320, 563, 8333, 13579, 725, 1934, 543, 2066, 2342, 786, 3136, 998, 8734, 269, 476, 1556, 267, 476, 1001, 279, 267, 16287, 519, 6186, 626, 823, 547, 1439, 519, 2112, 563, 763, 8317, 3091, 1776, 4960, 547, 2689, 519, 1272, 540, 6431, 3107, 267, 513, 5065, 540, 6263, 30086, 1194, 324, 267, 7720, 1421, 476, 13136, 5195, 22070, 540, 853, 269, 8402, 563, 8072, 293, 2444, 3215, 543, 896, 1952, 3285, 730, 20371, 306, 1181, 543, 9157, 593, 1016, 24002, 267, 6431, 3107, 729, 519, 812, 1034, 3743, 585, 519, 2136, 2276, 685, 3001, 689, 513, 890, 659, 8135, 7952, 540, 476, 13136, 267, 1822, 547, 519, 476, 273, 2929, 2367, 945, 267, 538, 513, 2339, 540, 3275, 267, 941, 16487, 547, 5333, 547, 4339, 269, 1358, 543, 519, 7372, 2179, 540, 7727, 2556, 547, 3049, 543, 6186, 873, 941, 16487, 998, 15798, 1102, 6479, 609, 4436, 772, 28967, 1846, 269, 4495, 13383, 267, 519, 4892, 3710, 476, 12010, 5195, 540, 16456, 3950, 547, 3761, 741, 10136, 563, 5415, 982, 513, 2540, 2663, 267, 971, 905, 1846, 1413, 791, 1601, 4601, 18447, 563, 763, 6205, 540, 621, 782, 267, 6431, 3107, 267, 568, 968, 821, 540, 519, 1034, 4241, 543, 896, 1952, 3285, 730, 5515, 892, 538, 1977, 1686, 267, 1767, 4446, 2284, 15966, 1195, 267, 513, 7548, 693, 519, 2160, 540, 27228, 945, 568, 2324, 593, 513, 17245, 593, 6431, 3107, 563, 25324, 3107, 779, 1272, 838, 10165, 519, 6406, 2782, 547, 519, 21554, 540, 519, 6046, 2085, 269, 1261, 5747, 538, 476, 3707, 279, 693, 2085, 476, 9262, 267, 2348, 5280, 2226, 513, 890, 659, 8135, 4108, 1063, 519, 1079, 1158, 10617, 543, 3337, 519, 1883, 10492, 945, 5280, 519, 772, 2529, 269, 543, 922, 16167, 3094, 2622, 2782, 4083, 563, 3080, 540, 6431, 3107, 779, 9998, 8823, 5949, 950, 646, 729, 1175, 476, 274, 610, 476, 275, 1296, 2025, 269, 20752, 17382, 3369, 871, 619, 678, 753, 17977, 30086, 1194, 324, 3735, 538, 519, 6406, 2782, 269, 3571, 4651, 267, 513, 1134, 8153, 1858, 21471, 543, 2178, 5742, 626, 267, 729, 8600, 547, 13720, 519, 2261, 7596, 619, 609, 513, 8929, 30516, 950, 6431, 3107, 779, 3993, 11074, 1864, 267, 30418, 1352, 1705, 711, 1616, 547, 581, 513, 30612, 609, 1762, 1453, 563, 22081, 1082, 772, 2529, 269, 1252, 1023, 723, 2479, 2965, 1185, 741, 554, 2210, 12495, 267, 1256, 741, 1753, 267, 22983, 676, 606, 10546, 3196, 267, 543, 1496, 5228, 602, 316, 1174, 519, 1271, 1909, 602, 513, 4108, 1590, 1404, 547, 1683, 3354, 547, 513, 2197, 9495, 4280, 519, 3561, 4115, 15966, 1195, 267, 945, 568, 726, 12976, 998, 12531, 540, 6431, 3107, 779, 5022, 543, 824, 6054, 693, 519, 2817, 19964, 267, 7732, 540, 6837, 543, 824, 2200, 563, 2108, 6546, 1590, 723, 1044, 513, 759, 15929, 4090, 585, 6431, 3107, 2223, 15966, 1195, 1767, 563, 30952, 267, 1310, 519, 1920, 4503, 3592, 782, 922, 22590, 1282, 519, 11784, 540, 476, 6942, 274, 267, 1762, 6431, 3107, 6026, 538, 606, 782, 15918, 871, 1153, 563, 763, 28215, 968, 14937, 10793, 892, 12090, 607, 513, 890, 329, 20753, 267, 4947, 689, 6431, 3107, 779, 18515, 547, 4001, 3109, 1053, 267, 543, 1010, 3028, 609, 519, 476, 1015, 628, 595, 10052, 787, 267, 519, 1340, 539, 782, 15918, 871, 968, 289, 4428, 14900, 22307, 4536, 892, 540, 519, 2022, 4211, 2753, 2782, 5736, 563, 28074, 540, 6431, 3107, 779, 9157, 2470, 543, 1010, 5784, 4724, 7862, 968, 322, 877, 689, 16713, 267, 543, 6157, 519, 1974, 540, 942, 950, 646, 8057, 909, 538, 6031, 875, 14882, 666, 3337, 513, 2486, 543, 2112, 335, 543, 1256, 829, 3200, 519, 3020, 15752, 540, 8103, 2223, 15966, 1195, 1767, 563, 4504, 574, 573, 908, 855, 13035, 454, 25324, 3107, 267, 899, 1082, 945, 6039, 896, 1864, 538, 2622, 2782, 594, 267, 729, 513, 26997, 17199, 269, 1261, 3576, 513, 1449, 585, 7127, 547, 4639, 8672, 1152, 1310, 513, 7820, 11078, 8068, 606, 740, 538, 519, 2199, 1957, 543, 1767, 621, 729, 513, 1434, 1259, 585, 6431, 3107, 547, 1205, 513, 2362, 2069, 563, 2108, 3891, 1185, 606, 4277, 4876, 269, 1261, 4769, 1406, 1616, 547, 979, 883, 519, 4108, 267, 646, 4941, 547, 581, 513, 4116, 2223, 962, 1442, 15625, 1767, 269, 968, 3719, 899, 1034, 2367, 693, 519, 942, 267, 646, 7948, 1406, 6488, 621, 3034, 3891, 6039, 607, 606, 1140, 5995, 538, 3567, 269, 5565, 1296, 1354, 519, 2112, 267, 646, 11124, 1390, 2123, 2530, 950, 1010, 7385, 267, 24796, 25845, 25303, 6431, 3107, 267, 513, 3411, 571, 1326, 974, 543, 8250, 540, 513, 29131, 6845, 1807, 267, 729, 7166, 538, 513, 3595, 267, 2059, 609, 741, 1614, 20766, 269, 8307, 513, 5067, 15068, 563, 25324, 3107, 10692, 7754, 11155, 966, 8759, 779, 986, 11107, 519, 1032, 1354, 2622, 2782, 594, 13264, 856, 269, 1261, 1287, 3366, 519, 772, 2529, 269, 589, 9128, 547, 11802, 269, 3571, 3946, 727, 543, 29523, 1293, 28312, 267, 1010, 30671, 547, 2322, 1977, 10136, 896, 519, 4971, 540, 4914, 10492, 543, 1010, 2656, 3562, 7308, 2389, 3419, 3455, 3375, 547, 4894, 4971, 619, 952, 646, 5433, 789, 941, 711, 7893, 909, 2813, 11972, 2592, 543, 3140, 1491, 25498, 540, 602, 2112, 563, 3719, 538, 15966, 1195, 779, 1382, 267, 519, 3561, 4115, 814, 849, 1336, 1776, 2427, 540, 6431, 3107, 602, 14753, 547, 519, 1950, 7569, 540, 5718, 269, 769, 5022, 547, 1010, 7385, 543, 1453, 267, 543, 2663, 267, 538, 5022, 547, 513, 4936, 1014, 23899, 8303, 1014, 4807, 267, 631, 7865, 1467, 1763, 1723, 267, 7247, 646, 1558, 1282, 519, 2112, 543, 3964, 513, 2078, 609, 602, 1131, 2063, 585, 519, 1964, 540, 1010, 1272, 267, 6431, 3107, 7000, 513, 1454, 1114, 1268, 563, 763, 968, 1090, 16967, 543, 5676, 514, 4115, 892, 1857, 812, 968, 322, 746, 581, 1360, 25254, 2223, 15966, 1195, 1767, 269, 1809, 547, 1010, 1920, 543, 2663, 267, 547, 1010, 24158, 267, 968, 515, 729, 1360, 13035, 3034, 24685, 1010, 1378, 2247, 646, 1185, 513, 5075, 540, 1018, 602, 5539, 1496, 1993, 5718, 316, 5645, 267, 543, 646, 729, 12483, 1652, 538, 3843, 547, 1118, 2386, 602, 646, 1131, 27481, 602, 2990, 2223, 15966, 1195, 1767, 269, 968, 21953, 593, 519, 4357, 2427, 646, 729, 3168, 585, 513, 9675, 1141, 646, 1223, 581, 609, 18825, 602, 646, 1223, 3972, 4625, 267, 543, 581, 5128, 267, 543, 581, 13035, 563, 2108, 4517, 594, 1589, 972, 568, 2141, 513, 2243, 281, 1403, 513, 812, 2982, 789, 616, 13035, 543, 17519, 267, 568, 602, 513, 1129, 540, 8467, 9495, 15966, 1195, 1767, 269, 968, 4517, 3226, 267, 602, 568, 519, 2013, 1141, 789, 4755, 547, 581, 519, 7986, 4108, 6205, 538, 519, 2197, 543, 6148, 538, 519, 1158, 267, 1310, 2622, 2782, 594, 269, 15742, 569, 1346, 27524, 582, 558, 625, 941, 693, 960, 609, 6431, 3107, 1848, 8729, 23968, 5622, 454, 291, 18769, 17626, 9477, 519, 6830, 17480, 540, 513, 1895, 540, 3197, 593, 519, 1753, 4395, 607, 789, 2119, 547, 2226, 2343, 1275, 1247, 6628, 568, 3238, 538, 519, 3689, 2622, 2782, 563, 2537, 5412, 476, 4489, 277, 454, 5472, 14501, 2139, 593, 18917, 1775, 32156, 15571, 630, 31696, 2698, 1070, 7064, 267, 18917, 454, 8005, 568, 2228, 454, 5825, 619, 19855, 713, 8468, 281, 3143, 10805, 3755, 543, 476, 1691, 14538, 0, 8512, 594, 910, 634, 5696, 650, 5736, 454, 1607, 2985, 568, 896, 1646, 269, 7490, 2638, 1394, 1419, 585, 10311, 1403, 596, 4312, 1044, 1934, 1354, 267, 5734, 834, 8269, 3306, 8487, 307, 1503, 2917, 321, 4926, 941, 1101, 544, 2393, 539, 585, 26551, 267, 610, 267, 811, 7157, 267, 519, 1287, 5498, 1706, 622, 29109, 540, 8672, 27578, 267, 607, 2038, 607, 476, 4489, 273, 267, 950, 519, 3703, 12052, 11272, 24020, 11567, 741, 2009, 946, 1018, 729, 1287, 513, 6385, 9750, 1016, 7875, 540, 519, 909, 11034, 2823, 2749, 593, 4516, 781, 7178, 5032, 269, 634, 2856, 729, 3533, 12628, 950, 621, 729, 7691, 602, 519, 10002, 8491, 9897, 540, 519, 1554, 267, 13745, 609, 519, 4396, 18646, 593, 519, 512, 1503, 2917, 6472, 267, 1131, 2285, 513, 1454, 17071, 11878, 547, 519, 8265, 322, 1513, 602, 941, 5555, 8704, 563, 7212, 519, 512, 1503, 2917, 24650, 3576, 3180, 538, 519, 2136, 2276, 543, 6628, 538, 519, 476, 4350, 271, 781, 267, 538, 4516, 267, 8265, 322, 1513, 4797, 547, 20441, 519, 4683, 6283, 6429, 2394, 1310, 2622, 2782, 4083, 269, 769, 26551, 267, 519, 8265, 16749, 1062, 729, 1869, 538, 4357, 9562, 269, 634, 5230, 6808, 540, 519, 2112, 1296, 267, 13745, 609, 796, 822, 22355, 540, 1007, 3937, 543, 1219, 518, 1042, 5826, 540, 519, 2025, 267, 2451, 519, 7841, 2861, 18302, 1062, 538, 695, 3711, 956, 269, 634, 17405, 14617, 5179, 21772, 540, 519, 1554, 941, 3500, 267, 1159, 11481, 543, 28537, 269, 634, 7460, 2207, 267, 2324, 538, 13447, 609, 519, 4975, 540, 26551, 267, 8359, 547, 2413, 1125, 922, 1062, 676, 16565, 513, 1804, 18239, 540, 512, 1503, 2917, 321, 4926, 563, 307, 1503, 2917, 321, 4926, 5916, 519, 6899, 267, 533, 928, 9964, 2389, 1600, 11878, 543, 3106, 540, 1225, 2125, 728, 15205, 267, 2934, 540, 21772, 267, 609, 519, 9120, 2773, 4162, 540, 519, 30788, 14617, 8265, 322, 1513, 269, 1358, 5963, 616, 513, 10316, 6174, 269, 898, 849, 5280, 602, 789, 10057, 1648, 6383, 10464, 569, 676, 519, 1482, 2754, 602, 13234 ]

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

[ 282, 585, 519, 7083, 2696, 2285, 628, 873, 1769, 281, 543, 789, 4927, 12081, 585, 2479, 543, 2479, 563, 527, 786, 581, 454, 1993, 1769, 630, 328, 4318, 269, 17689, 994, 515, 786, 679, 13097, 454, 274, 6113, 1790, 1086, 5731, 454, 16269, 786, 581, 15438, 454, 314, 9616, 316, 3371, 693, 2806, 541, 574, 23549, 649, 2811, 8499, 9599, 827, 938, 954, 15035, 1715, 11620, 267, 543, 960, 568, 11179, 538, 3356, 563, 2414, 4266, 649, 723, 827, 476, 9032, 269, 273, 260, 540, 519, 1715, 11620, 4988, 29477, 374, 0, 268, 476, 272, 1215, 798, 596, 2721, 513, 18700, 25047, 13826, 888, 268, 476, 273, 1215, 798, 596, 5173, 18700, 25047, 13826, 3268, 888, 268, 476, 274, 1215, 1454, 2230, 798, 594, 991, 585, 513, 18700, 25047, 13826, 888, 268, 476, 275, 1215, 798, 596, 1118, 513, 476, 274, 291, 18700, 538, 4201, 665, 611, 888, 268, 476, 276, 1215, 798, 596, 2721, 24383, 888, 268, 476, 277, 3657, 18700, 25047, 322, 1162, 3656, 888, 268, 476, 278, 1684, 596, 991, 4058, 10479, 585, 513, 18700, 25047, 13826, 888, 268, 476, 279, 1772, 18700, 25047, 13826, 2922, 888, 268, 476, 280, 1548, 568, 1863, 1688, 5373, 888, 1692, 798, 596, 2721, 513, 18700, 25047, 13826, 888, 19352, 532, 513, 9454, 531, 853, 1515, 13826, 454, 268, 5153, 2290, 1107, 8571, 513, 13340, 269, 8074, 281, 634, 1739, 5373, 729, 2813, 593, 513, 16979, 1210, 1160, 22056, 563, 268, 5153, 5565, 1107, 8571, 513, 23225, 20514, 563, 268, 5153, 8422, 1107, 8571, 513, 23225, 11875, 2354, 525, 563, 268, 5153, 9050, 1107, 19147, 519, 11875, 2354, 525, 563, 268, 5153, 12866, 1107, 5410, 513, 14465, 3563, 563, 268, 5153, 14520, 1107, 12315, 2659, 17778, 2368, 4813, 563, 268, 5153, 18599, 1107, 5410, 1744, 8172, 563, 1692, 798, 596, 5173, 18700, 25047, 13826, 3268, 888, 272, 269, 3689, 267, 1491, 519, 7516, 540, 519, 25047, 6202, 6679, 269, 589, 18700, 25047, 13826, 814, 513, 476, 1911, 7825, 4130, 8006, 982, 519, 2016, 25047, 6202, 6679, 269, 17778, 547, 5071, 513, 9454, 531, 853, 1515, 13826, 454, 268, 4469, 3233, 4463, 2048, 327, 685, 815, 476, 17734, 271, 7825, 563, 268, 681, 16014, 2048, 337, 685, 815, 476, 18597, 563, 268, 3143, 540, 1567, 619, 815, 17734, 271, 270, 18597, 815, 476, 1321, 563, 268, 3143, 281, 540, 17778, 815, 476, 1556, 1341, 476, 272, 13941, 3760, 563, 1692, 1454, 2230, 798, 594, 991, 585, 513, 18700, 25047, 13826, 888, 274, 685, 277, 892, 18922, 547, 476, 5655, 2698, 6279, 538, 8006, 543, 4061, 519, 32745, 8379, 9331, 6679, 2450, 602, 596, 991, 631, 19851, 581, 476, 4510, 6279, 1535, 476, 4510, 6279, 630, 4510, 892, 343, 4510, 26158, 1411, 991, 693, 2547, 476, 4510, 892, 343, 4510, 892, 6679, 1317, 596, 3580, 991, 1079, 3063, 6279, 585, 707, 11263, 547, 2951, 2059, 519, 1688, 571, 559, 607, 596, 3802, 909, 543, 1524, 519, 24383, 563, 1692, 798, 596, 1118, 513, 476, 274, 291, 18700, 538, 4201, 665, 611, 888, 288, 927, 1460, 568, 606, 1930, 476, 273, 291, 610, 476, 274, 291, 18700, 563, 268, 8437, 5851, 9184, 8571, 8470, 4477, 1460, 269, 4855, 563, 268, 10410, 1518, 519, 4099, 1448, 585, 519, 3490, 540, 519, 927, 1460, 563, 268, 10410, 1518, 519, 3490, 8953, 563, 268, 10410, 1518, 519, 1283, 8953, 610, 2046, 9373, 547, 14574, 519, 1482, 1871, 607, 519, 3490, 8953, 563, 268, 10410, 1518, 519, 4463, 540, 519, 927, 1460, 563, 1692, 798, 596, 2721, 24383, 888, 1692, 547, 8571, 853, 4202, 454, 268, 3689, 267, 2721, 1079, 3515, 602, 616, 5594, 6251, 547, 1142, 824, 693, 519, 1283, 563, 268, 3767, 2721, 519, 3515, 8220, 519, 1079, 3515, 602, 649, 16668, 538, 519, 3105, 1900, 563, 268, 7201, 519, 3515, 689, 519, 3105, 1900, 267, 1039, 811, 3515, 607, 3254, 538, 938, 1383, 563, 268, 8571, 3515, 1063, 519, 3515, 689, 519, 3105, 1900, 563, 6701, 18700, 25047, 322, 1162, 3656, 888, 2750, 527, 21976, 634, 4993, 8943, 540, 22769, 585, 5010, 5656, 267, 585, 1383, 267, 2636, 18700, 25047, 322, 1162, 547, 581, 1031, 607, 606, 14827, 952, 519, 5934, 25500, 8700, 568, 693, 2547, 476, 1015, 6279, 543, 952, 519, 6418, 8953, 540, 519, 25047, 13826, 568, 693, 2547, 7466, 519, 8700, 540, 519, 25047, 3118, 563, 2710, 596, 991, 4058, 10479, 585, 513, 18700, 25047, 13826, 888, 763, 3652, 1369, 3487, 918, 1810, 1406, 4019, 547, 18700, 610, 927, 673, 25047, 13826, 6272, 855, 3079, 1533, 602, 585, 513, 18700, 25047, 13826, 1374, 267, 519, 3703, 11621, 11657, 29172, 476, 276, 4375, 276, 3487, 4083, 10039, 563, 3674, 18700, 25047, 13826, 2922, 888, 5445, 616, 3622, 8704, 1813, 540, 741, 4389, 11640, 543, 1317, 972, 568, 13385, 2230, 585, 513, 6671, 25047, 13826, 269, 21278, 18700, 25047, 322, 1162, 616, 9112, 547, 519, 2838, 6042, 602, 616, 2966, 547, 2285, 4313, 547, 519, 3593, 267, 1287, 18700, 25047, 322, 1162, 616, 9985, 2922, 563, 1432, 568, 1863, 1688, 5373, 888, 1432, 568, 5131, 8518, 14301, 286, 5131, 8518, 5373, 568, 519, 2702, 547, 2721, 1945, 1510, 4470, 593, 7405, 610, 1945, 3116, 547, 2721, 269, 1284, 3391, 519, 5373, 1184, 609, 1152, 938, 1688, 267, 543, 621, 5673, 593, 938, 22423, 1983, 269, 0, 17220, 4521, 6799, 513, 2875, 25700, 1935, 547, 519, 1641, 282, 5693, 2854, 609, 1875, 28921, 2296, 18702, 1053, 538, 2247, 267, 513, 2039, 540, 1565, 2934, 5031, 519, 2127, 540, 7521, 543, 5000, 1053, 547, 4497, 9691, 609, 1883, 13882, 563, 2005, 2488, 3102, 543, 13801, 3795, 540, 519, 3844, 2152, 538, 1857, 3486, 1876, 267, 1818, 713, 606, 4998, 1837, 585, 1053, 2921, 2110, 267, 2606, 6030, 693, 3864, 1876, 1153, 1873, 603, 2312, 543, 3015, 3137, 540, 519, 4295, 2035, 20136, 1837, 3217, 513, 2565, 5133, 593, 1585, 3344, 540, 3486, 1876, 267, 10962, 519, 27900, 543, 2127, 540, 7521, 1510, 14322, 1053, 262, 1991, 1702, 540, 519, 3584, 5941, 538, 606, 2653, 3562, 17000, 2511, 563, 2467, 616, 5885, 1565, 2934, 267, 1519, 3844, 2152, 10833, 267, 3184, 24096, 267, 5227, 2542, 267, 543, 4901, 2055, 5031, 519, 1898, 2798, 543, 5000, 1053, 547, 4497, 609, 519, 3656, 13882, 563, 19445, 12043, 543, 2200, 763, 3791, 7160, 568, 2139, 585, 1053, 543, 5238, 547, 6718, 538, 513, 3099, 540, 12043, 267, 543, 568, 6462, 676, 2228, 2200, 269, 5788, 634, 552, 26247, 3091, 513, 5985, 1995, 543, 10375, 1569, 2059, 609, 10342, 2645, 267, 12445, 2934, 543, 6402, 602, 2709, 3063, 1565, 1489, 281, 8940, 269, 2135, 5112, 3667, 9248, 16691, 16896, 27160, 9248, 6440, 10374, 2278, 27143, 10962, 519, 4295, 3584, 6440, 31876, 593, 16460, 519, 5999, 585, 17564, 693, 519, 1439, 540, 1142, 3184, 6440, 25103, 547, 824, 3486, 1876, 2200, 0, 763, 26302, 540, 595, 2120, 8822, 454, 28061, 7009, 577, 731, 568, 513, 14547, 543, 15197, 812, 267, 855, 646, 814, 513, 15265, 5728, 269, 26062, 1296, 3516, 267, 950, 646, 729, 32014, 543, 30779, 559, 612, 267, 646, 4421, 1010, 7385, 547, 513, 13743, 528, 269, 3767, 1352, 568, 3168, 585, 1864, 1586, 269, 4208, 286, 1656, 1018, 786, 4755, 950, 1352, 9060, 1864, 888, 347, 3682, 714, 341, 617, 14247, 546, 739, 1575, 534, 10573, 6395, 2008, 347, 296, 345, 323, 6072, 25155, 10573, 303, 792, 5459, 4065, 17290, 2008, 24171, 10434, 344, 729, 606, 2296, 29787, 543, 10564, 269, 589, 16972, 1483, 626, 538, 519, 2245, 540, 6723, 18379, 582, 267, 646, 729, 6766, 1312, 538, 1010, 9089, 543, 538, 1010, 6965, 676, 21434, 1143, 267, 2523, 5261, 6478, 29536, 269, 0, 295, 1551, 529, 7921, 267, 13698, 4534, 4653, 267, 4972, 540, 11094, 543, 7849, 8249, 630, 17584, 24520, 264, 14199, 595, 785, 344, 17566, 14480, 333, 8678, 8387, 689, 519, 12425, 8466, 543, 7467, 8189, 630, 15771, 10157, 264, 585, 513, 11428, 16008, 10223, 513, 1007, 3140, 15262, 602, 26549, 519, 6406, 1014, 11094, 17620, 630, 6717, 290, 264, 960, 547, 1020, 519, 19846, 331, 4400, 4133, 563, 763, 1007, 15262, 568, 693, 519, 13675, 547, 19846, 331, 10830, 3557, 5244, 267, 1141, 595, 6717, 2818, 693, 6682, 1186, 13698, 590, 10422, 11607, 279, 543, 13698, 590, 10422, 11607, 1428, 3459, 4070, 593, 519, 19846, 331, 10830, 1234, 920, 1049, 23227, 566, 9351, 476, 10436, 1296, 3516, 593, 5147, 476, 272, 563, 763, 19846, 331, 4400, 4133, 1788, 729, 2565, 1317, 519, 1858, 1185, 1044, 10969, 730, 676, 17717, 267, 5755, 5599, 543, 4057, 26216, 267, 543, 6694, 2853, 602, 30701, 519, 3037, 543, 5251, 563, 14881, 993, 20938, 547, 8956, 519, 8978, 7418, 540, 519, 6406, 1014, 11094, 17620, 538, 519, 19846, 331, 4400, 4133, 2223, 14480, 333, 1767, 269, 968, 2171, 1131, 711, 723, 19846, 331, 10830, 3557, 5244, 543, 824, 1883, 16351, 2127, 2066, 12425, 1510, 519, 960, 540, 519, 595, 6717, 543, 519, 13710, 3609, 547, 948, 9156, 1106, 519, 4279, 12870, 269, 901, 6288, 543, 519, 9371, 540, 519, 595, 6717, 616, 513, 15266, 547, 1018, 568, 2009, 950, 649, 2508, 3785, 602, 4225, 519, 1604, 543, 16351, 3255, 4799, 17442, 675, 331, 10830, 1234, 920, 1049, 23227, 566, 9351, 729, 6192, 538, 476, 3707, 272, 269, 898, 2663, 2968, 19846, 331, 10830, 3557, 5244, 476, 3707, 276, 563, 763, 595, 6717, 779, 960, 1869, 24889, 693, 519, 476, 275, 267, 6187, 273, 14092, 516, 6288, 267, 799, 2882, 519, 4190, 476, 8287, 14092, 516, 19846, 331, 10830, 8235, 563, 763, 19846, 331, 10830, 4460, 518, 849, 6257, 519, 1764, 540, 519, 595, 6717, 538, 12425, 269, 27819, 476, 4198, 267, 1822, 2367, 941, 19801, 693, 476, 14625, 595, 6717, 13122, 2066, 519, 1455, 17314, 563, 17829, 24767, 2818, 12630, 17542, 540, 4054, 267, 19345, 909, 25825, 267, 10692, 11642, 267, 3710, 9897, 543, 13123, 267, 543, 865, 1454, 811, 4534, 782, 540, 799, 9927, 519, 7733, 543, 16351, 2127, 538, 12425, 563, 10527, 12425, 8466, 4460, 518, 5358, 568, 4440, 519, 1034, 7298, 540, 12425, 8466, 1299, 7467, 8189, 779, 3292, 2223, 1767, 11682, 10157, 15445, 10615, 1656, 16699, 13722, 344, 269, 968, 763, 19846, 331, 10830, 3557, 5244, 15262, 26082, 936, 476, 273, 267, 4335, 5432, 4544, 543, 4154, 12508, 602, 7001, 519, 3965, 540, 1004, 267, 4025, 267, 2621, 267, 543, 10124, 602, 723, 4299, 519, 2729, 540, 6755, 985, 10944, 2103, 936, 519, 5553, 2094, 5261, 24282, 8547, 1010, 20448, 3034, 763, 15262, 4967, 602, 24767, 2818, 12725, 12913, 519, 968, 3000, 2163, 531, 9028, 892, 540, 3384, 19846, 331, 10830, 689, 1762, 2367, 945, 1185, 4986, 855, 3710, 865, 1454, 563, 763, 595, 6717, 729, 3964, 538, 476, 4350, 274, 547, 948, 2709, 3255, 547, 1762, 2367, 1310, 519, 4279, 12870, 543, 835, 540, 519, 10782, 2804, 15125, 5281, 538, 938, 4182, 779, 1686, 563, 301, 14260, 267, 5176, 476, 274, 2929, 31655, 941, 6964, 676, 519, 595, 6717, 2394, 519, 1982, 8694, 538, 476, 3707, 273, 269, 4706, 2804, 267, 1514, 267, 543, 2825, 1764, 941, 15747, 538, 519, 772, 2529, 269, 6450, 15929, 689, 519, 4279, 12870, 563, 8448, 16351, 17431, 2127, 538, 12425, 3769, 9791, 12928, 984, 267, 670, 1157, 800, 14840, 267, 3943, 15880, 267, 543, 681, 8829, 517, 10830, 563, 5472, 616, 1631, 1533, 11614, 7064, 547, 519, 1646, 689, 519, 595, 6717, 563, 9596, 811, 827, 519, 595, 6717, 689, 9823, 24520, 3896, 563, 300, 3633, 8656, 28132, 16898, 281, 24380, 2917, 20484, 267, 476, 278, 1704, 268, 279, 6507, 268, 277, 4029, 276, 454, 258, 1948, 1948, 0, 2690, 1312, 13409, 268, 543, 5182, 10767, 560, 10276, 878, 1117, 6090, 267, 5444, 4082, 2418, 2799, 31085, 609, 606, 2333, 538, 519, 540, 25862, 610, 5182, 10767, 560, 2281, 538, 519, 23399, 269, 634, 5276, 9756, 14170, 941, 4830, 540, 519, 6708, 547, 799, 6090, 941, 6829, 538, 519, 6986, 13409, 543, 5182, 10767, 560, 1591, 2516, 563, 1607, 5267, 602, 589, 4052, 946, 540, 519, 4466, 602, 29208, 568, 5276, 568, 547, 5094, 519, 13973, 727, 540, 513, 1591, 1895, 602, 3568, 2281, 689, 1114, 2010, 883, 922, 1591, 15178, 3334, 269, 32114, 267, 585, 1383, 267, 513, 1979, 10004, 4055, 1895, 6828, 589, 5627, 513, 7848, 540, 1079, 1591, 2010, 267, 7392, 476, 272, 543, 7392, 476, 273, 267, 607, 1134, 607, 513, 535, 9801, 1591, 1895, 6828, 645, 5627, 1152, 7392, 476, 272, 4675, 11915, 7612, 1284, 6999, 547, 3313, 519, 13973, 727, 540 ]

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

[ 2883, 3549, 267, 8492, 267, 1483, 10040, 30549, 720, 10909, 267, 17783, 1446, 4123, 543, 10685, 4123, 563, 25219, 1695, 8466, 8092, 12201, 454, 272, 269, 29078, 5069, 24258, 17719, 1107, 634, 29078, 5069, 24258, 17719, 267, 4092, 2282, 17865, 8235, 4975, 267, 18096, 267, 814, 1044, 11179, 24776, 2094, 476, 5002, 277, 585, 922, 7601, 269, 4653, 621, 568, 519, 27811, 1930, 268, 1584, 9553, 538, 519, 1158, 267, 7893, 476, 382, 378, 13304, 2620, 630, 663, 3395, 1040, 4706, 3977, 3800, 5111, 476, 1704, 2929, 9748, 540, 7601, 267, 476, 278, 1428, 9748, 540, 4154, 543, 476, 276, 267, 12010, 9748, 540, 8988, 12422, 269, 769, 476, 1220, 277, 267, 519, 29078, 5069, 24258, 17719, 729, 3743, 585, 519, 5599, 540, 1269, 272, 269, 279, 5479, 540, 1585, 8407, 563, 273, 269, 2506, 12568, 24258, 1107, 2506, 12568, 24258, 568, 4092, 2282, 17865, 8235, 4975, 538, 18096, 543, 729, 1713, 547, 519, 8129, 540, 18096, 1317, 621, 729, 972, 602, 26599, 976, 9411, 519, 17865, 8235, 9503, 538, 476, 7277, 278, 950, 789, 4956, 547, 18385, 7017, 538, 519, 1858, 269, 4256, 6205, 267, 5696, 662, 600, 8479, 267, 5143, 1010, 13794, 968, 1607, 568, 519, 1318, 1747, 1848, 1656, 865, 621, 729, 269, 4653, 267, 519, 666, 27267, 568, 6825, 676, 513, 3126, 540, 8978, 12508, 799, 2995, 519, 1650, 540, 519, 1686, 540, 2506, 12568, 24258, 563, 274, 269, 13527, 12384, 1107, 28210, 538, 17865, 8235, 4975, 267, 18096, 267, 13527, 12384, 568, 513, 1804, 1858, 540, 2244, 799, 2882, 519, 17865, 8235, 13527, 267, 21741, 1716, 12386, 8490, 543, 13909, 8065, 269, 634, 7623, 729, 6192, 538, 476, 6977, 274, 676, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 28233, 29513, 269, 769, 1840, 547, 519, 5656, 267, 519, 12406, 540, 519, 4009, 616, 1753, 547, 5402, 812, 545, 3293, 10651, 267, 4054, 543, 6972, 10092, 269, 13527, 12384, 24643, 6634, 540, 8436, 12422, 267, 1312, 26599, 976, 543, 1346, 530, 5109, 547, 1451, 811, 827, 519, 1686, 540, 835, 540, 519, 1034, 3532, 10764, 538, 519, 1158, 269, 0, 301, 788, 531, 814, 1044, 26164, 513, 1713, 4473, 538, 8882, 1663, 27833, 2665, 936, 519, 2063, 1906, 4374, 269, 769, 1249, 267, 14798, 814, 759, 584, 325, 3166, 538, 18310, 2094, 519, 1376, 540, 1492, 1032, 476, 1708, 272, 269, 634, 2034, 5951, 540, 519, 11452, 568, 711, 2943, 936, 538, 18310, 267, 2495, 14798, 543, 519, 11452, 616, 8195, 21883, 538, 519, 2197, 267, 610, 972, 568, 513, 834, 339, 13388, 2438, 8487, 763, 2165, 834, 339, 13388, 2438, 257, 4016, 547, 519, 12242, 3463, 540, 513, 4049, 14798, 12176, 593, 1283, 540, 519, 5046, 268, 866, 6855, 563, 288, 7008, 540, 2395, 3516, 267, 513, 476, 3953, 4458, 6040, 30513, 10272, 519, 8611, 16758, 540, 519, 2672, 330, 32057, 1690, 23427, 543, 29956, 8376, 11233, 630, 306, 2316, 291, 295, 264, 609, 513, 1686, 540, 9221, 20316, 267, 11563, 1928, 267, 8611, 267, 15677, 543, 11522, 269, 2701, 5433, 2566, 267, 4160, 543, 4250, 1310, 2348, 2589, 2147, 547, 1346, 540, 2910, 309, 268, 9517, 268, 866, 269, 2701, 267, 2705, 25722, 6479, 2942, 585, 16568, 17336, 268, 476, 273, 7474, 3123, 5046, 268, 866, 563, 763, 2278, 15695, 519, 3461, 547, 979, 585, 606, 14798, 3644, 1449, 267, 799, 6038, 4951, 513, 2318, 1267, 630, 8882, 1663, 27833, 645, 1916, 1103, 1776, 3236, 267, 513, 1920, 10272, 519, 590, 2316, 291, 295, 609, 7920, 4250, 540, 2910, 309, 268, 9517, 268, 866, 1310, 782, 7622, 2818, 2919, 8611, 267, 11522, 543, 15319, 11563, 563, 5445, 267, 2705, 267, 7318, 2942, 4278, 823, 585, 16568, 268, 3213, 309, 268, 273, 269, 1358, 849, 5555, 7318, 2318, 585, 519, 14798, 3644, 563, 4322, 616, 1175, 513, 1906, 1806, 540, 513, 3510, 540, 1071, 2275, 597, 27218, 540, 14798, 3644, 543, 11452, 538, 18310, 269, 21452, 267, 519, 2278, 814, 2938, 930, 1004, 7783, 609, 1312, 519, 8290, 563, 6624, 3744, 3494, 602, 621, 568, 811, 2693, 602, 609, 1312, 8290, 3468, 532, 519, 1482, 1268, 693, 519, 1482, 942, 267, 519, 10335, 540, 519, 7929, 4576, 786, 581, 3152, 563, 23873, 3173, 723, 1336, 602, 519, 1981, 540, 2669, 811, 982, 23060, 585, 1004, 945, 7318, 2318, 585, 1312, 519, 14798, 3644, 543, 11452, 267, 3379, 547, 519, 11452, 4805, 269, 11048, 267, 865, 2484, 267, 519, 2278, 814, 711, 4767, 811, 4049, 2589, 540, 7929, 4576, 538, 891, 546, 1302, 29795, 539, 1004, 267, 4352, 513, 1164, 1377, 540, 28858, 1058, 581, 9738, 538, 519, 4947, 2395, 538, 1931, 547, 1174, 519, 2068, 6364, 610, 4791, 2175, 563, 10376, 1032, 267, 18310, 32625, 1079, 12405, 540, 14798, 3644, 1107, 14140, 569, 1282, 5130, 5336, 1105, 267, 543, 2034, 569, 538, 519, 3275, 540, 5147, 5025, 1872, 755, 563, 2414, 1250, 9983, 267, 2705, 267, 2063, 1032, 267, 972, 941, 3592, 1100, 2770, 2534, 538, 18310, 607, 1134, 607, 538, 824, 2694, 540, 519, 1158, 269, 769, 1249, 267, 2063, 1032, 267, 3744, 1185, 4397, 547, 1294, 5595, 8373, 540, 11452, 543, 14798, 8290, 1282, 519, 2770, 4005, 267, 29805, 519, 834, 339, 13388, 2438, 8487, 1103, 18310, 267, 519, 14798, 3644, 814, 1500, 513, 2097, 3724, 2094, 519, 1376, 540, 519, 1032, 476, 1708, 272, 269, 3683, 519, 2250, 1906, 4374, 267, 18310, 814, 1044, 26164, 14798, 3644, 3968, 3592, 5595, 538, 1297, 693, 5111, 1079, 22173, 11996, 269, 14118, 27833, 1826, 589, 543, 1826, 645, 616, 1373, 9571, 538, 18310, 563, 4263, 1459, 267, 670, 274, 3644, 602, 12851, 547, 1826, 589, 14798, 267, 2442, 569, 1634, 607, 15173, 15158, 2770, 267, 568, 4922, 21883, 538, 18310, 269, 21452, 267, 670, 272, 301, 272, 335, 323, 332, 6021, 3644, 267, 799, 12851, 547, 1826, 589, 14798, 543, 849, 1634, 607, 2220, 710, 2770, 267, 814, 711, 1044, 9571, 865, 2484, 269, 4210, 710, 2770, 630, 295, 272, 301, 268, 476, 272, 335, 323, 332, 6021, 264, 543, 15173, 15158, 2770, 630, 295, 274, 264, 723, 1044, 8195, 21883, 1282, 519, 14798, 12405, 538, 18310, 563, 13911, 645, 14798, 3644, 814, 2799, 3648, 538, 519, 2063, 1079, 4374, 269, 898, 568, 5258, 883, 1079, 1899, 1137, 1634, 607, 834, 312, 600, 698, 1092, 257, 543, 834, 309, 1112, 18319, 2668, 19402, 1631, 267, 3592, 782, 14798, 645, 8290, 1336, 538, 18310, 4866, 547, 519, 834, 309, 1112, 18319, 257, 22871, 269, 589, 1906, 1826, 645, 14798, 8290, 616, 9444, 540, 834, 309, 1112, 18319, 257, 6862, 834, 312, 600, 698, 1092, 257, 1899, 1137, 267, 2495, 513, 1007, 22871, 540, 1826, 645, 14798, 3644, 1522, 581, 6932, 538, 18310, 563, 10702, 2090, 267, 2705, 267, 616, 11562, 5896, 547, 2697, 519, 1007, 3644, 543, 922, 2009, 1764, 593, 6669, 7145, 563, 763, 3017, 1063, 5046, 268, 866, 543, 14798, 8290, 3112, 581, 1500, 9003, 1759, 593, 4791, 2589, 269, 27009, 267, 1004, 3494, 602, 1169, 11522, 610, 8611, 568, 513, 10835, 540, 5046, 268, 866, 267, 799, 568, 4929, 2790, 610, 5626, 4713, 269, 1306, 513, 1267, 267, 2043, 945, 1020, 2770, 6438, 2589, 4043, 547, 4250, 2669, 1813, 547, 2910, 309, 268, 9517, 268, 866, 8374, 1317, 1360, 5063, 18310, 814, 4810, 519, 4666, 31586, 2034, 5951, 540, 519, 11452, 267, 799, 729, 676, 2484, 519, 10782, 543, 3833, 6397, 610, 20437, 563, 763, 29920, 5832, 5114, 630, 303, 10135, 264, 2029, 568, 3730, 538, 1114, 11868, 1063, 519, 2770, 543, 2910, 309, 268, 9517, 268, 866, 269, 1323, 4977, 7020, 540, 8290, 568, 1898, 585, 3617, 5646, 18522, 543, 2126, 269, 19738, 2029, 568, 1631, 2139, 538, 782, 16899, 540, 18310, 563, 8310, 1032, 267, 14798, 3644, 1185, 3592, 20374, 267, 7303, 513, 1761, 1000, 785, 2438, 3510, 5001, 563, 763, 18232, 14583, 540, 519, 11452, 602, 8507, 538, 513, 14686, 2034, 5951, 568, 1869, 21883, 538, 18310, 267, 1247, 14798, 3644, 814, 849, 1044, 2810, 13497, 585, 519, 2063, 7008, 540, 4374, 269, 898, 4667, 602, 519, 18232, 14583, 543, 14798, 3644, 666, 1071, 2275, 597, 1529, 622, 8195, 693, 513, 2016, 1747, 543, 942, 1974, 267, 2870, 513, 1000, 785, 2438, 3510, 563, 6097, 547, 519, 4095, 3377, 2923, 267, 538, 16156, 267, 476, 6078, 2600, 540, 519, 17013, 4080, 693, 2547, 835, 4759, 540, 741, 7622, 4867, 814, 2770, 6438, 2589, 563, 1103, 824, 1913, 267, 14798, 3644, 568, 7839, 538, 16156, 2749, 267, 543, 5310, 1256, 10825, 547, 824, 2694, 540, 519, 2197, 563, 2005, 568, 26656, 4304, 602, 519, 18232, 14583, 729, 1101, 9571, 538, 3127, 602, 3366, 547, 513, 14686, 2034, 5951, 540, 519, 11452, 563, 18773, 814, 1631, 1831, 519, 8789, 14583, 538, 519, 2475, 543, 519, 5177, 269, 898, 568, 267, 3976, 267, 3810, 2693, 602, 513, 1000, 785, 2438, 949, 2049, 1282, 519, 14232, 14798, 4005, 563, 2414, 2040, 909, 267, 18310, 568, 5310, 1851, 519, 1906, 2477, 1141, 513, 1000, 785, 2438, 4161, 568, 1373, 5185, 269, 2311, 1459, 267, 621, 568, 711, 2312, 952, 513, 1000, 785, 2438, 3510, 666, 1711, 513, 8338, 3510, 982, 5046, 268, 866, 29671, 269, 11048, 267, 621, 568, 2312, 602, 4250, 267, 4160, 543, 11784, 616, 1454, 2362, 10838, 1346, 945, 4159, 2770, 6438, 2589, 267, 543, 1072, 1416, 4600, 723, 7411, 23243, 1063, 519, 1079, 8290, 269, 6270, 2175, 949, 2049, 538, 2477, 1141, 519, 14798, 4005, 568, 3728, 16042, 563, 7804, 15722, 568, 12751, 267, 11916, 3194, 5149, 267, 2672, 330, 32057, 1690, 23427, 543, 29956, 8376, 11233, 454, 13911, 645, 14798, 3644, 814, 2799, 3648, 538, 519, 2063, 1079, 4374, 269, 19402, 1631, 267, 3592, 782, 14798, 645, 8290, 1336, 538, 18310, 4866, 547, 519, 834, 309, 1112, 18319, 257, 22871, 267, 711, 519, 834, 312, 600, 698, 1092, 257, 835, 269, 589, 1906, 1826, 645, 14798, 8290, 616, 9444, 540, 834, 309, 1112, 18319, 257, 6862, 834, 312, 600, 698, 1092, 257, 1899, 1137, 267, 2495, 513, 1007, 22871, 540, 1826, 645, 14798, 3644, 1522, 581, 6932, 538, 18310, 454, 288, 4528, 540, 713, 2376, 5526, 538, 519, 1820, 593, 4864, 476, 2190, 476, 1708, 272, 267, 540, 634, 22615, 18885, 8648, 269, 0, 2467, 616, 1100, 3742, 8100, 538, 713, 2376, 563, 290, 548, 628, 571, 13408, 476, 5038, 2249, 540, 28033, 610, 28301, 4054, 610, 19211, 267, 1336, 538, 513, 771, 31019, 3892, 1360, 2147, 547, 602, 540, 3131, 22855, 267, 609, 835, 8998, 540, 4763, 538, 9456, 543, 25878, 5607, 630, 297, 3253, 547, 1715, 19892, 1070, 1776, 538, 25878, 3345, 3013, 267, 6239, 3013, 543, 9456, 3162, 3013, 267, 543, 835, 2249, 593, 17214, 4275, 269, 634, 2030, 568, 3622, 4552, 344, 267, 519, 24827, 8795, 538, 1826, 689, 2241, 547, 588, 749, 622, 610, 3673, 545, 1194, 269, 634, 3762, 616, 2356, 3003, 610, 7202, 622, 267, 519, 5694, 532, 1373, 1034, 14733, 538, 11174, 2371, 282, 519, 6281, 15532, 616, 1232, 584, 1370, 593, 519, 4571, 1026, 269, 634, 4870, 2803, 12412, 568, 12363, 267, 2356, 513, 22072, 2241, 5198, 1889, 267, 855, 3006, 609, 5198, 6996, 1373, 3812, 689, 519, 5580, 6978, 4949, 2812, 593, 519, 9496, 547, 2285, 513, 811, 7623, 4870, 2803, 12412, 267, 4171, 11460, 568, 606, 1271, 1808, 1915, 269, 4746, 2556, 585, 8446, 616, 519, 536, 847, 338, 267, 799, 2356, 2887, 3533, 267, 543, 519, 17114, 540, 519, 7895, 545, 1564, 269, 634, 8768, 568, 2356, 3043, 630, 11484, 31531, 8645, 610, 5835, 880, 264, 543, 29549, 630, 11484, 31531, 5667, 1417, 539, 1040, 634, 1608, 344, 343, 568, 2947, 2000, 984, 539, 267, 519, 10981, 525, 4742, 31429, 1881, 538, 4829, 269, 634, 1351, 3326, 320, 568, 849, 2947, 2000, 984, 539, 267, 519, 24968, 2356, 1373, 1863, 855, 3006, 8087, 693, 519, 3490, 610, 585, 909, 547, 835, 21017, 540, 741, 3259, 267, 1073, 990, 622, 547, 838, 987, 3634, 543, 2901, 3003, 610, 1585, 569, 547, 582, 1117, 610, 535, 2590, 539, 267, 3006, 609, 513, 524, 559, 5573, 14345, 693, 741, 30085, 269, 634, 26176, 839, 616, 5116, 538, 1079, 627, 528, 3149, 267, 543, 519, 2511, 814, 1614, 10981, 525, 3056, 547, 513, 28886, 17369, 749, 622, 9065, 776, 269, 634, 4829, 568, 513, 4552, 344, 1016, 6921, 984, 983, 610, 5594, 1614, 21758, 23555, 630, 306, 548, 10179, 476, 3422, 278, 1916, 290, 548, 628, 571, 568, 513, 3730, 12593, 585, 519, 4677, 1141, 2144, 545, 17675, 2371 ]

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

[ 2427, 540, 519, 1957, 269, 4858, 4068, 568, 267, 547, 513, 1268, 945, 2833, 5075, 2530, 267, 1018, 9102, 1913, 616, 547, 7606, 945, 616, 8289, 539, 269, 8281, 7913, 7734, 543, 7395, 16383, 269, 4858, 4068, 543, 23866, 7335, 8281, 630, 289, 19181, 264, 568, 513, 1982, 6035, 676, 519, 2817, 7732, 6796, 543, 4858, 4068, 4659, 7732, 602, 2636, 29123, 547, 25274, 4647, 1312, 8301, 543, 552, 5174, 571, 4068, 10643, 689, 606, 3573, 4015, 540, 10643, 563, 763, 715, 305, 7246, 2488, 513, 7924, 4336, 10834, 519, 1377, 693, 799, 1820, 19380, 7145, 543, 4858, 4068, 610, 513, 4999, 540, 1820, 543, 4858, 4068, 1058, 581, 6964, 585, 3872, 5301, 563, 12606, 19639, 618, 585, 2542, 9102, 2909, 850, 21768, 18510, 454, 763, 715, 305, 7246, 568, 519, 1101, 543, 1152, 1382, 2861, 267, 13387, 4879, 1907, 540, 922, 2186, 585, 519, 8446, 540, 269, 5502, 267, 2575, 2909, 4068, 3197, 616, 2854, 538, 2909, 4068, 3515, 1210, 2027, 12043, 865, 602, 789, 616, 2653, 547, 1224, 543, 2285, 519, 2909, 4068, 5467, 782, 519, 1344, 602, 568, 3254, 11617, 593, 519, 5234, 563, 763, 1820, 2575, 6698, 585, 1579, 12028, 267, 971, 607, 519, 7066, 1076, 7581, 325, 543, 30464, 7581, 325, 267, 616, 849, 711, 1031, 538, 2909, 4068, 563, 307, 23813, 781, 4858, 4068, 645, 785, 2044, 3091, 11613, 1863, 2835, 538, 4858, 4068, 585, 9420, 610, 1970, 8686, 1707, 1453, 269, 634, 2835, 616, 585, 519, 1453, 547, 1832, 543, 2445, 585, 607, 1279, 607, 789, 1616, 873, 563, 20373, 19639, 618, 585, 2542, 9102, 2909, 850, 7300, 454, 14611, 13935, 513, 23831, 5399, 540, 1820, 270, 3630, 4068, 2835, 607, 1134, 607, 2909, 4068, 2835, 585, 918, 1700, 272, 909, 547, 476, 1321, 628, 3446, 2542, 543, 1719, 1377, 269, 7734, 616, 544, 9229, 547, 519, 1126, 779, 1753, 543, 849, 547, 3506, 269, 13555, 519, 1977, 11059, 8750, 585, 32559, 5753, 543, 20661, 538, 1603, 585, 606, 3498, 563, 29423, 1470, 1299, 4858, 4068, 667, 14709, 3487, 517, 779, 22569, 1588, 7732, 543, 519, 1977, 24614, 5600, 585, 519, 32559, 267, 5549, 667, 14709, 3487, 517, 779, 22569, 1588, 7732, 630, 7894, 6579, 264, 814, 24574, 1229, 609, 1977, 24614, 5600, 585, 519, 32559, 267, 5549, 563, 263, 4338, 295, 264, 547, 1118, 1082, 540, 519, 8748, 2835, 538, 1200, 1982, 267, 2139, 538, 2909, 4068, 543, 8301, 3898, 865, 602, 1762, 9420, 543, 11617, 15176, 1453, 666, 849, 4324, 689, 891, 8748, 269, 4858, 4068, 9102, 585, 519, 8289, 539, 949, 723, 834, 3333, 20760, 15956, 257, 538, 519, 8900, 5624, 267, 547, 948, 1004, 1294, 519, 7158, 540, 519, 15956, 811, 3362, 563, 24154, 4068, 585, 519, 9420, 4465, 1405, 723, 14692, 15956, 269, 1677, 1224, 4858, 4068, 998, 5905, 267, 596, 991, 21230, 1434, 9416, 8417, 269, 4107, 4079, 723, 2614, 9416, 8417, 547, 1224, 2433, 918, 563, 19530, 7146, 5174, 571, 4068, 7734, 538, 1133, 4186, 26167, 4858, 4068, 630, 514, 772, 292, 289, 264, 630, 5379, 264, 6520, 16186, 281, 20976, 1493, 6502, 1280, 4098, 3988, 269, 3143, 5961, 267, 855, 519, 1133, 4186, 26167, 4858, 4068, 543, 1820, 1913, 616, 20083, 1899, 585, 1899, 547, 4217, 538, 519, 1565, 1184, 563, 5472, 540, 519, 2835, 538, 713, 7121, 616, 538, 1133, 1881, 2296, 4858, 4068, 630, 16604, 289, 1040, 25873, 7179, 7146, 5174, 571, 4068, 7734, 538, 269, 594, 1131, 2648, 519, 1728, 19282, 1433, 1728, 2096, 985, 585, 10847, 543, 11812, 547, 581, 593, 536, 731, 269, 1703, 568, 1100, 813, 2901, 543, 594, 1223, 946, 1804, 1820, 610, 2909, 4068, 269, 15576, 773, 14339, 6767, 4239, 334, 693, 993, 269, 19743, 4911, 11253, 267, 715, 11862, 1281, 711, 723, 513, 2909, 4068, 16606, 540, 519, 968, 763, 670, 2096, 2522, 585, 654, 11208, 543, 9919, 30503, 1674, 2223, 543, 568, 23387, 540, 922, 8244, 11992, 563, 763, 1977, 24614, 5600, 585, 519, 32559, 568, 4092, 538, 8402, 6807, 267, 17996, 267, 1141, 621, 814, 13234, 2094, 4643, 513, 3643, 547, 938, 2189, 4087, 2221, 269, 9603, 547, 5046, 267, 938, 7467, 543, 31543, 570, 2293, 723, 1044, 17303, 17735, 269, 1403, 596, 1131, 899, 547, 1451, 2909, 4068, 2575, 7258, 13465, 610, 606, 6293, 267, 5225, 3643, 938, 2985, 593, 2909, 4068, 2575, 20131, 2835, 563, 2252, 596, 1616, 547, 1451, 547, 834, 515, 541, 257, 519, 6698, 538, 707, 2247, 267, 543, 960, 593, 8357, 5314, 1983, 538, 513, 21783, 1259, 267, 2119, 281, 1323, 4985, 547, 8535, 585, 519, 32559, 9906, 267, 610, 589, 6092, 538, 4858, 4068, 8535, 7335, 267, 20668, 594, 543, 4083, 563, 310, 554, 850, 972, 616, 1082, 3506, 585, 18997, 9420, 1004, 267, 1360, 1906, 16491, 873, 609, 519, 1983, 602, 1131, 5512, 873, 547, 1831, 513, 851, 540, 519, 13416, 2486, 543, 3565, 547, 519, 4346, 540, 519, 2197, 269, 14600, 571, 808, 344, 1054, 328, 267, 513, 1032, 6040, 13539, 1759, 538, 10854, 531, 648, 267, 1568, 14311, 593, 713, 3390, 563, 6097, 547, 873, 267, 972, 616, 606, 6059, 476, 3393, 2929, 9420, 1004, 538, 519, 1158, 267, 856, 540, 799, 835, 11607, 10812, 20724, 3041, 12778, 781, 4604, 834, 24154, 4068, 8535, 8943, 2580, 4553, 676, 1004, 593, 26964, 563, 8450, 811, 2093, 827, 4858, 4068, 267, 8535, 267, 6250, 1302, 15176, 1453, 20382, 12991, 11862, 32695, 630, 29423, 1470, 264, 543, 4858, 4068, 7734, 32695, 630, 7596, 1470, 264, 543, 2909, 4068, 2835, 676, 13875, 267, 4647, 762, 2835, 543, 17476, 3842, 18376, 610, 5985, 813, 267, 10855, 7044, 267, 543, 8301, 1404, 3724, 3937, 616, 2139, 585, 10211, 2443, 1863, 540, 5279, 2443, 547, 2836, 4613, 2103, 8572, 547, 1224, 6671, 1820, 1813, 547, 513, 3308, 610, 2168, 9659, 563, 8340, 707, 715, 11862, 7732, 563, 1103, 556, 717, 5435, 630, 3422, 278, 994, 276, 3199, 9664, 273, 269, 10695, 15406, 24487, 273, 20042, 26705, 281, 21768, 18510, 454, 292, 8656, 12326, 8261, 454, 6812, 275, 9664, 274, 269, 3374, 15406, 277, 1556, 280, 20042, 26705, 281, 21768, 18510, 454, 9928, 2714, 880, 6469, 6429, 563, 4375, 273, 9664, 272, 269, 3445, 15406, 279, 5780, 274, 20042, 26705, 281, 21768, 18510, 454, 7597, 277, 9664, 272, 269, 5780, 15406, 276, 4510, 278, 20042, 26705, 281, 21768, 18510, 454, 23841, 9664, 271, 269, 6872, 15406, 278, 1724, 276, 20042, 26705, 281, 21768, 18510, 454, 291, 5519, 560, 4328, 18869, 476, 12010, 271, 454, 29045, 9664, 272, 269, 7871, 15406, 13975, 272, 20042, 26705, 281, 21768, 18510, 454, 6224, 8008, 2562, 623, 24359, 11070, 2464, 645, 298, 270, 7374, 590, 6224, 7644, 300, 2207, 25783, 19489, 300, 23814, 11581, 296, 16739, 630, 295, 531, 15182, 731, 9906, 623, 10730, 7732, 994, 275, 4792, 9664, 273, 269, 2641, 15406, 278, 4200, 274, 20042, 26705, 281, 21768, 18510, 454, 6924, 272, 9664, 272, 269, 7597, 15406, 11260, 276, 20042, 26705, 281, 21768, 18510, 454, 30999, 738, 1143, 543, 2413, 2257, 454, 24374, 9664, 273, 269, 1428, 15406, 279, 5038, 272, 20042, 26705, 281, 21768, 18510, 454, 295, 17639, 538, 13280, 454, 32133, 9664, 274, 269, 6795, 15406, 22430, 275, 20042, 26705, 281, 21768, 18510, 454, 17445, 687, 585, 5986, 676, 10136, 538, 3786, 543, 6413, 454, 18231, 9664, 275, 269, 4649, 15406, 5038, 274, 273, 20042, 26705, 281, 21768, 18510, 454, 291, 5315, 540, 6355, 16301, 454, 27151, 9664, 274, 269, 8064, 15406, 4281, 276, 272, 20042, 26705, 281, 21768, 18510, 454, 278, 6078, 9664, 275, 269, 8660, 15406, 3445, 280, 271, 20042, 26705, 281, 21768, 18510, 454, 25284, 2719, 538, 623, 3008, 290, 3201, 454, 27944, 9664, 271, 269, 4792, 15406, 280, 4343, 278, 20042, 26705, 281, 21768, 18510, 454, 20112, 543, 19987, 538, 18518, 454, 25148, 9664, 272, 269, 9032, 15406, 274, 4281, 276, 20042, 26705, 281, 21768, 18510, 454, 24834, 6672, 540, 5216, 954, 29728, 6735, 17523, 454, 5379, 280, 9664, 273, 269, 1691, 15406, 9032, 277, 275, 20042, 26705, 281, 21768, 18510, 454, 6795, 278, 9664, 273, 269, 4366, 15406, 279, 5392, 20042, 26705, 281, 21768, 18510, 454, 23562, 4868, 8168, 25803, 454, 5038, 273, 9664, 275, 269, 1704, 15406, 279, 4029, 272, 20042, 26705, 281, 21768, 18510, 454, 4366, 275, 9664, 271, 269, 3066, 15406, 26316, 280, 20042, 26705, 281, 21768, 18510, 454, 288, 13961, 1868, 324, 3004, 3022, 344, 454, 3607, 275, 9664, 274, 269, 7906, 15406, 5325, 273, 275, 20042, 26705, 281, 21768, 18510, 0, 9989, 519, 30302, 1847, 888, 7628, 6379, 267, 519, 30302, 7575, 607, 519, 19786, 21018, 543, 9428, 563, 2005, 779, 3339, 585, 519, 30302, 547, 581, 1970, 538, 519, 19786, 538, 2038, 6379, 563, 2026, 519, 6379, 5170, 543, 519, 19786, 21018, 267, 519, 30302, 3335, 7575, 547, 519, 1283, 540, 519, 19786, 10756, 9989, 519, 30302, 723, 519, 1482, 26470, 607, 4816, 888, 2467, 616, 513, 2603, 540, 1973, 8043, 538, 513, 9176, 4807, 779, 17737, 267, 519, 4816, 779, 2295, 25588, 1373, 1175, 835, 269, 634, 30302, 849, 20512, 693, 519, 1482, 2557, 607, 519, 2295, 543, 519, 3993, 779, 1292, 16050, 8255, 2066, 519, 17737, 543, 602, 666, 849, 581, 13603, 909, 593, 513, 17585, 16980, 563, 1692, 2038, 666, 596, 5873, 519, 30302, 609, 513, 28576, 16980, 888, 288, 19341, 28576, 16980, 1449, 7363, 3217, 1747, 1282, 707, 2034, 959, 30478, 630, 933, 4060, 476, 1724, 547, 476, 2764, 540, 6379, 1040, 2368, 9755, 540, 693, 25571, 19341, 28576, 680, 619, 2161, 596, 949, 581, 2111, 547, 5873, 707, 4816, 779, 26470, 607, 2038, 607, 476, 279, 268, 1321, 4374, 540, 6379, 563, 1432, 1281, 519, 30302, 3280, 899, 609, 513, 588, 996, 24005, 888, 308, 614, 710, 6204, 742, 548, 610, 726, 659, 1581, 6204, 742, 548, 568, 513, 2571, 267, 25738, 3280, 4862, 1210, 513, 588, 996, 24005, 267, 2356, 538, 519, 2034, 959, 30478, 540, 6379, 630, 1724, 1700, 2764, 4374, 1040, 2560, 2201, 513, 19895, 738, 566, 267, 29897, 6204, 742, 548, 949, 1419, 581, 11821, 609, 1187, 545, 6204, 742, 548, 267, 799, 568, 513, 8325, 267, 627, 626, 1782, 3280, 602, 568, 15222, 748, 609, 519, 13942, 540, 519, 9087, 28127, 563, 1432, 3018, 1281, 519, 30302, 1106, 888, 1103, 4374, 476, 275, 547, 476, 276, 540, 2038, 6379, 267, 519, 19046, 7514, 560, 9428, 543, 10953, 1369, 519, 16298, 540, 519, 27042, 269, 634, 9018, 2281, 3914, 856, 547, 1106, 6402, 609, 519, 3993, 779, 1973, 3761, 269, 2991, 930, 942, 267, 789, 786, 1106, 519, 30302, 630, 12898, 19689, 1916, 1692, 666, 594, 2638, 1250, 4816, 779, 26470, 693, 1753, 888, 31282, 519, 17585, 16980, 593, 543, 7444, 2443, 2731, 7444, 2443, 1847, 621, 1472, 2394, 596, 666, 5873, 519, 26470, 269, 634, 4505, 621, 568, 538, 707, 6379, 267, 519, 2539, 596, 3580, 2693, 723, 547, 979, 269, 8347, 2630, 707, 17987, 7735, 269, 2142, 3222, 602, 596, 3580, 849, 5873, 707, 1378, 26470, 543, 519, 13942, 540, 606, 16050, 269, 0, 25889, 281, 7261, 339, 727, 6549, 21552, 630, 13967, 309, 264, 568, 513, 3056, 11763, 2014, 540, 11719, 545, 22907, 267, 1312, 538, 519, 5468, 540, 22787, 543, 829, 514, 7614, 3968, 267, 855, 1906, 3662, 3631, 2291, 547, 1353, 5778, 16467, 11365, 4093, 269, 901, 1353, 8947, 519, 1764, 540, 30564, 25647, 6477, 18328, 309, 630, 25897, 13967, 309, 264, 3968, 593, 8901, 1565, 543, 3965, 538, 513, 24261, 1216, 28618, 630, 300, 310, 300, 264, 2203, 269, 10613, 281, 1715, 9799, 4996, 1186, 941, 13934, 12499, 704, 32050, 958, 630, 328, 4877, 4700, 609, 513, 23633, 2699, 24638, 3940, 2389, 698, 3022, 13382, 13967, 309, 267, 610, 695, 600, 26912, 4327, 269, 2201, 2395, 476, 1428, 1700, 866, 2022, 3968, 630, 335, 269, 328, 13776, 4996, 1186, 941, 7318, 538, 519, 24448, 300, 269, 5164, 531, 13907, 941, 6027, 538, 1973, 543, 5160, 676, 11050, 19738, 630, 336, 303, 10135, 1070, 543, 2634, 5439, 6394, 693, 683, 23145, 10043, 941, 8947, 676, 1277, 1108, 543, 6375, 2129, 626, 17190, 269, 11778, 281, 966, 790, 8926, 630, 19091, 8598, 264, 729, 9571, 693, 1554, 476, 274, 533, 269, 328, 269, 538, 476, 278, 270, 279, 13934, 2831, 269, 7736, 268, 6716, 23425, 729, 4767, 267, 676, 7117, 303, 10135, 267, 538, 519, 5761, 267, 6797, 267, 543, 838, 22220, 269, 7131, 275, 25698, 630, 7374, 275, 266, 264, 543, 7131, 279, 25698, 630, 7374, 279, 266, 264, 570, 1591, 22467, 6233, 941, 1459, 538 ]

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

[ 2464, 29558, 5357, 454, 15045, 312, 24199, 661, 3008, 312, 717, 6938, 2316, 307, 11070, 292, 11553, 3722, 2316, 4753, 11123, 589, 27749, 32745, 5263, 8085, 670, 6865, 2464, 29558, 5357, 454, 2562, 309, 25492, 32745, 5263, 8085, 661, 288, 16249, 6730, 12327, 2207, 290, 30990, 5442, 15674, 22400, 670, 6865, 2464, 29558, 5357, 681, 5495, 2316, 20911, 454, 12552, 585, 16069, 676, 547, 1451, 811, 827, 6182, 520, 3363, 6657, 585, 23467, 1041, 619, 454, 2252, 596, 1131, 899, 811, 6209, 14820, 10593, 267, 4274, 18954, 4388, 267, 543, 1919, 547, 2161, 547, 519, 12543, 950, 789, 2307, 827, 32059, 596, 3580, 2648, 938, 4757, 1592, 2336, 2691, 596, 1129, 909, 596, 3580, 1205, 606, 12600, 9684, 596, 1863, 5174, 7417, 602, 779, 10691, 2139, 538, 938, 4199, 5399, 256, 9373, 707, 4757, 2232, 2630, 547, 6443, 519, 8414, 670, 633, 454, 296, 666, 1406, 7227, 547, 2671, 1250, 18954, 6791, 543, 14820, 6879, 14823, 2706, 335, 10183, 609, 596, 1142, 7160, 540, 5990, 645, 308, 313, 313, 269, 1284, 3580, 849, 10004, 827, 519, 2409, 594, 1031, 547, 10891, 267, 8430, 267, 543, 3992, 1544, 538, 1250, 18954, 609, 519, 13922, 621, 786, 948, 596, 723, 513, 6126, 554, 633, 1932, 269, 769, 519, 29291, 267, 968, 289, 2465, 892, 2386, 547, 2638, 856, 519, 1114, 2409, 540, 32059, 607, 1134, 607, 938, 476, 274, 2653, 2994, 585, 25794, 563, 1607, 3135, 568, 513, 4074, 540, 2648, 543, 786, 1332, 543, 1332, 269, 1772, 972, 513, 31054, 540, 519, 4303, 596, 1131, 899, 547, 1294, 12286, 286, 13555, 2974, 543, 649, 786, 798, 938, 1655, 547, 1118, 621, 4755, 256, 1284, 616, 19914, 596, 616, 1934, 543, 4126, 596, 2972, 1565, 543, 14120, 538, 707, 670, 4338, 303, 312, 7486, 292, 256, 0, 9303, 7595, 267, 2895, 1882, 3561, 454, 2710, 711, 8263, 1543, 9356, 1699, 454, 27023, 881, 1702, 267, 4507, 267, 610, 2853, 563, 295, 6865, 289, 7246, 298, 8991, 476, 272, 8863, 2969, 631, 2177, 31165, 267, 10790, 312, 476, 276, 267, 476, 3707, 272, 454, 263, 19489, 645, 4629, 4696, 290, 17129, 2475, 292, 10396, 14877, 994, 306, 18510, 297, 17614, 281, 834, 27237, 2464, 10396, 17676, 313, 5058, 661, 2752, 14877, 21598, 308, 3951, 306, 269, 476, 1556, 6176, 689, 519, 8433, 454, 1993, 15331, 853, 725, 267, 772, 907, 306, 6185, 6993, 563, 9336, 1032, 811, 3484, 3885, 616, 8380, 909, 1753, 268, 571, 2213, 1426, 834, 2421, 454, 16451, 4506, 269, 2311, 1101, 6705, 1031, 13792, 4859, 6140, 585, 5779, 269, 1809, 454, 852, 12997, 1082, 1114, 4677, 2472, 616, 11836, 519, 834, 15927, 19068, 563, 14722, 540, 519, 8549, 4972, 540, 11982, 543, 519, 1585, 3557, 454, 23024, 2939, 10473, 723, 6594, 16171, 547, 1451, 4010, 875, 547, 1205, 519, 454, 21129, 652, 13792, 2472, 269, 4653, 596, 666, 2328, 707, 3557, 4603, 6728, 454, 528, 2852, 547, 1451, 799, 8677, 6738, 538, 707, 1327, 1275, 616, 834, 12895, 585, 454, 16451, 4506, 269, 3509, 2276, 1631, 723, 1863, 834, 12712, 2280, 1231, 547, 2995, 596, 711, 1152, 827, 454, 19702, 7724, 267, 554, 583, 849, 827, 8600, 2472, 585, 16171, 267, 16171, 873, 2676, 663, 1210, 873, 1310, 16171, 269, 5131, 4506, 568, 519, 1034, 1110, 655, 1259, 547, 840, 8894, 338, 2925, 1426, 269, 634, 3744, 616, 1869, 1565, 1919, 827, 621, 269, 1924, 454, 9767, 991, 547, 1832, 538, 5905, 609, 873, 538, 1931, 547, 646, 909, 3562, 15082, 593, 16171, 454, 5278, 540, 519, 1101, 4677, 2472, 538, 519, 5614, 616, 1655, 585, 454, 16451, 4506, 269, 5682, 17112, 267, 607, 32651, 267, 543, 22229, 616, 1851, 519, 1034, 454, 16647, 983, 13792, 2472, 563, 9213, 1577, 781, 2015, 22229, 2073, 2094, 811, 22229, 616, 454, 325, 549, 7999, 982, 1022, 824, 4829, 267, 543, 2094, 3652, 585, 16171, 22229, 454, 732, 1318, 585, 1082, 824, 5613, 563, 303, 1157, 707, 15708, 950, 789, 2811, 693, 1175, 519, 1318, 3942, 585, 4189, 454, 719, 540, 1688, 269, 2334, 568, 519, 4341, 585, 782, 5613, 585, 16171, 267, 2687, 547, 454, 1492, 1715, 3840, 13749, 269, 1411, 917, 950, 513, 12450, 9440, 568, 4998, 585, 4189, 609, 454, 920, 600, 543, 4006, 269, 898, 781, 22691, 543, 2699, 782, 936, 282, 621, 781, 13035, 834, 8117, 6109, 543, 454, 338, 895, 269, 2334, 781, 950, 621, 781, 1655, 585, 16171, 269, 1715, 3840, 3744, 1867, 454, 7474, 796, 686, 701, 4829, 267, 610, 4829, 711, 22691, 782, 936, 267, 949, 6492, 5734, 614, 1310, 454, 16451, 4506, 267, 610, 949, 646, 2571, 543, 2182, 538, 9634, 269, 2201, 519, 824, 1688, 267, 4829, 454, 7474, 568, 1932, 22691, 4465, 1405, 798, 2901, 269, 634, 16171, 1184, 2571, 839, 621, 930, 8894, 6343, 269, 1403, 519, 4829, 568, 2571, 547, 2253, 609, 267, 621, 786, 581, 1660, 1506, 543, 6204, 6853, 454, 12898, 16171, 269, 1924, 3314, 2443, 4584, 15708, 610, 824, 5613, 693, 519, 1318, 454, 560, 720, 585, 4189, 856, 540, 1688, 952, 596, 1422, 317, 656, 873, 3501, 585, 16171, 563, 5472, 2090, 1397, 602, 4829, 8952, 922, 2681, 2073, 3337, 543, 8137, 454, 12895, 952, 13792, 609, 4006, 610, 4006, 1606, 597, 1575, 269, 589, 5394, 27205, 1575, 267, 610, 4006, 771, 8894, 338, 9407, 538, 4829, 10433, 267, 14014, 4829, 689, 519, 2011, 269, 634, 2011, 9397, 1524, 454, 1492, 8031, 540, 519, 4829, 543, 2242, 519, 2681, 543, 8137, 563, 6124, 3840, 3744, 2303, 476, 274, 1434, 2081, 547, 19068, 22229, 563, 3080, 1259, 568, 547, 20105, 610, 14299, 519, 15708, 267, 543, 1287, 19068, 609, 4006, 563, 5194, 1259, 568, 547, 4734, 519, 15708, 2898, 543, 19068, 609, 27205, 1575, 1547, 12846, 454, 534, 1278, 1259, 568, 547, 19068, 2898, 15708, 609, 4006, 4586, 293, 549, 7999, 30000, 610, 22872, 15708, 3180, 741, 8137, 3476, 982, 454, 1415, 824, 2186, 540, 13792, 12450, 9440, 267, 2161, 519, 1715, 3840, 3744, 269, 14730, 454, 1042, 267, 4396, 267, 25188, 8677, 616, 1655, 713, 1259, 269, 1677, 5965, 873, 267, 11547, 538, 454, 823, 1216, 543, 3819, 873, 267, 1373, 1360, 6297, 711, 547, 20015, 1047, 873, 538, 519, 605, 8894, 947, 269, 17179, 519, 11503, 267, 2759, 538, 10116, 21100, 267, 610, 14299, 538, 20453, 269, 5410, 454, 821, 11013, 540, 4006, 547, 1142, 476, 275, 6550, 540, 15708, 269, 17186, 519, 2759, 4829, 454, 628, 528, 5699, 609, 4006, 269, 10925, 538, 1612, 571, 742, 1441, 7047, 976, 543, 3382, 17401, 563, 10403, 2763, 693, 4642, 5232, 18278, 610, 2539, 563, 3086, 547, 19068, 2898, 15708, 538, 27205, 1575, 2073, 1101, 1118, 513, 5394, 4006, 8894, 663, 21226, 27205, 1575, 543, 3579, 621, 267, 25169, 15708, 538, 4672, 1216, 267, 3819, 873, 543, 454, 24525, 11503, 269, 9255, 519, 15708, 538, 7047, 976, 540, 8185, 1612, 571, 742, 1441, 1957, 8894, 4580, 267, 808, 650, 519, 4829, 909, 547, 513, 3368, 10759, 540, 519, 1283, 540, 519, 7047, 976, 269, 32449, 454, 517, 2614, 5394, 27205, 1575, 547, 3382, 519, 15708, 267, 543, 1869, 4734, 693, 2547, 606, 454, 324, 12915, 10759, 2230, 693, 519, 1283, 269, 19171, 519, 15004, 543, 19068, 693, 4642, 454, 19592, 4181, 610, 2539, 563, 306, 13610, 3079, 540, 27205, 1575, 593, 2898, 15708, 3947, 811, 10874, 787, 22286, 2948, 454, 8117, 2306, 519, 4829, 811, 1660, 1506, 269, 1403, 596, 946, 4006, 267, 13489, 519, 15708, 609, 454, 821, 21144, 628, 741, 2597, 540, 4006, 2394, 1034, 540, 519, 4006, 4744, 11510, 538, 519, 454, 9857, 823, 269, 3973, 2322, 519, 15708, 538, 1612, 3530, 1441, 7047, 976, 543, 3382, 609, 519, 454, 9857, 823, 519, 4006, 814, 6537, 856, 540, 519, 15708, 269, 15147, 519, 7047, 517, 543, 19068, 454, 520, 4642, 5232, 610, 2539, 563, 763, 13325, 13749, 5267, 1869, 1776, 1259, 547, 19068, 12450, 8894, 11241, 2443, 16760, 15708, 609, 4006, 585, 946, 593, 4672, 8645, 610, 593, 824, 964, 8894, 338, 1068, 338, 269, 3371, 616, 519, 13325, 8846, 585, 16171, 16760, 15708, 912, 310, 1662, 267, 1698, 543, 24807, 15708, 269, 5410, 476, 272, 7484, 540, 4006, 547, 1142, 476, 276, 11680, 540, 4829, 2676, 300, 1460, 2394, 519, 4006, 4744, 11510, 538, 519, 10433, 269, 2422, 13451, 31383, 7047, 976, 454, 32355, 533, 842, 610, 14415, 2450, 269, 30346, 873, 609, 519, 16760, 6653, 2989, 15708, 454, 1575, 547, 835, 21144, 628, 10759, 540, 519, 1283, 269, 19171, 519, 7047, 517, 5612, 543, 1832, 454, 514, 513, 4411, 1747, 1247, 596, 6445, 519, 824, 7047, 976, 269, 6875, 547, 513, 9376, 518, 2030, 454, 9404, 2664, 2299, 543, 1118, 2386, 519, 15708, 979, 883, 4642, 2837, 693, 2899, 2676, 2467, 616, 476, 275, 1434, 2081, 547, 19068, 22229, 269, 634, 8846, 585, 454, 16451, 4506, 2898, 609, 4006, 610, 27205, 1575, 4019, 849, 547, 678, 5684, 11241, 2443, 2699, 267, 3109, 454, 528, 13711, 282, 543, 547, 30207, 267, 543, 11877, 10027, 1845, 269, 590, 712, 10027, 1845, 267, 1225, 7847, 454, 663, 979, 846, 11241, 2356, 991, 811, 6653, 2287, 982, 22229, 269, 13268, 873, 454, 5976, 835, 11013, 540, 4006, 585, 1142, 476, 274, 6550, 540, 4829, 269, 21690, 10027, 1845, 991, 454, 1652, 6653, 2287, 982, 22229, 269, 2422, 513, 25182, 27205, 1575, 585, 873, 563, 6546, 781, 782, 519, 16171, 3377, 2221, 267, 2368, 1554, 4166, 594, 3513, 3142, 596, 454, 17084, 593, 16171, 2038, 5388, 269, 0, 288, 1007, 1353, 689, 20037, 543, 12370, 1336, 602, 4568, 6981, 693, 782, 2157, 729, 5532, 547, 2362, 4220, 540, 2295, 2068, 563, 763, 1353, 568, 3370, 538, 808, 24717, 8416, 7046, 543, 729, 5342, 676, 30730, 717, 269, 589, 4048, 600, 1696, 620, 563, 763, 4681, 2303, 602, 519, 9277, 2640, 540, 4568, 6704, 949, 2965, 581, 11911, 547, 824, 6197, 2188, 602, 616, 1455, 1851, 1769, 547, 9793, 4235, 619, 563, 1103, 519, 1353, 267, 519, 2319, 8947, 476, 4391, 272, 267, 5379, 274, 4079, 1765, 5976, 606, 3328, 2085, 540, 476, 6872, 1296, 543, 3328, 4568, 4616, 540, 476, 280, 269, 273, 10425, 829, 3018, 454, 8256, 11962, 609, 4505, 2090, 267, 519, 2319, 1336, 602, 1769, 547, 9793, 4235, 619, 1185, 519, 9803, 2295, 2068, 1981, 267, 4553, 676, 1004, 945, 17712, 7134, 689, 6704, 269, 4658, 945, 1743, 1678, 8185, 1185, 519, 5207, 1981, 563, 4913, 267, 519, 2319, 849, 1336, 602, 1769, 547, 9793, 4235, 619, 22157, 547, 723, 8902, 19824, 982, 17712, 664, 619, 27137, 607, 811, 2168, 2534, 543, 10448, 6981, 267, 543, 1447, 7296, 563, 21982, 1175, 513, 1906, 6197, 2188, 883, 2272, 9244, 22485, 1022, 4324, 2404, 609, 4568, 4616, 563, 763, 1353, 849, 4294, 519, 5767, 2553, 538, 513, 1505, 1572, 21780, 27318, 4351, 1436, 267, 799, 3096, 4719, 14726, 547, 3313, 2436, 606, 4767, 3095, 1063, 606, 4598, 543, 606, 6364, 568, 5812, 609, 513, 21465, 1198, 24568, 713, 2013, 267, 2436, 1769, 4568, 4616, 3123, 513, 1268, 547, 581, 6870, 1996, 9025, 2068, 563, 763, 2319, 1336, 602, 1004, 609, 4719, 14726, 602, 10567, 2362, 4568, 4616, 941, 8197, 811, 2693, 547, 8532, 3152, 5666, 540, 4568, 267, 543, 811, 2693, 547, 723, 13119, 543, 18337, 16050, 2068, 563, 763, 9382, 849, 1336, 2462, 3604, 538, 2295, 1981, 2066, 519, 8552, 540, 4568, 4616, 1851, 1312, 2367, 543, 2021, 267, 609, 8766, 4679, 538, 1981, 950, 2469, 689, 4642, 547, 5722, 10425, 829, 3018, 267, 1454, 2362, 1981, 4679, 950, 3356, 532, 689, 5722, 547, 476, 1691, 10425, 829, 3018, 267, 543, 2523, 1164, 1981, 950, 10438, 476, 2641, 610, 811, 10425, 829, 3018, 563, 8253, 2406, 267, 519, 4681, 2303, 513, 4473, 538, 2295, 1981, 1256, 693, 2157, 16363, 968, 869, 1981, 892, 676, 3084, 4808, 689, 519, 772, 2529, 269, 4972, 540, 11982, 630, 328, 4318, 269, 2630, 1079, 10425, 829, 1554, 585, 2367, 543, 835, 4235, 829, 1554, 585, 2021, 1916, 763, 6602, 729, 6462, 676, 606, 3606, 2079, 540, 1239, 593, 476, 1789, 267, 278, 1626, 5171, 538, 519, 7136, 4937, 5696, 662, 600, 4437, 984, 1678, 563, 11997, 267, 1247, 5969, 1394, 593, 4616, 666, 4324, 1256, 1004, 945, 4235, 835, 23931, 20892, 829, 1554, 267, 519, 1072, 12374, 540, 5969, 1394, 949, 581, 811, 8101, 11652, 267, 5310, 267, 811, 24802, 6209, 24568, 1346, 945, 8532, 811, 563, 763, 2319, 3081, 519, 4681, 14751, 602, 4568, 6981, 1058, 711, 581, 5227, 547, 2087, 9025, 1072, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2564, 10986, 267, 16293, 267, 1514, 4600, 267, 543, 849, 6484, 1235, 269, 634, 4099, 1058, 849, 2285, 513, 2407, 2039, 540, 3797, 3435, 267, 9967, 540, 1895, 2126, 543, 476, 1321, 9912, 1489, 2516, 269, 589, 4915, 11222, 9744, 814, 513, 11295, 6296, 2919, 547, 4894, 1022, 29987, 607, 1134, 607, 11863, 596, 547, 1445, 593, 707, 865, 828, 1145, 269, 769, 519, 2038, 6640, 267, 596, 3580, 723, 14254, 267, 543, 19952, 2743, 609, 513, 13309, 269, 2991, 12899, 267, 596, 3580, 723, 835, 811, 8400, 540, 3797, 269, 13536, 267, 596, 3580, 723, 942, 547, 6001, 607, 1134, 607, 1544, 585, 5127, 269, 23488, 7740, 2285, 513, 2922, 267, 11215, 4259, 585, 7218, 547, 960, 998, 741, 2152, 607, 1134, 607, 1265, 856, 6216, 20642, 12003, 1983, 269, 1358, 10123, 20882, 2043, 547, 9096, 6757, 3347, 607, 1134, 607, 3343, 6351, 689, 1866, 945, 666, 5351, 873, 2059, 519, 1259, 269, 4438, 513, 14317, 1982, 267, 11955, 666, 581, 8246, 547, 948, 596, 649, 534, 1055, 540, 811, 3532, 267, 513, 2603, 811, 5906, 6878, 269, 1452, 11955, 666, 849, 4217, 596, 3251, 2312, 540, 13821, 543, 6175, 519, 1981, 540, 9695, 269, 1403, 596, 723, 513, 3978, 3075, 610, 4568, 1966, 267, 621, 568, 15695, 602, 596, 979, 883, 513, 6469, 14317, 1982, 269, 901, 4990, 540, 1982, 2882, 2713, 593, 21935, 693, 519, 9744, 543, 11504, 2126, 7886, 269, 898, 568, 4122, 513, 10151, 2126, 4781, 543, 568, 30074, 585, 1004, 609, 1071, 31507, 2590, 4713, 610, 5626, 1072, 2042, 269, 634, 2640, 540, 10821, 11222, 1331, 281, 589, 2635, 543, 7059, 2039, 689, 561, 675, 267, 513, 11215, 607, 1134, 607, 15028, 4259, 585, 6051, 607, 1134, 607, 10333, 547, 476, 2190, 270, 278, 1489, 269, 1411, 666, 1205, 519, 6351, 596, 2154, 689, 513, 2319, 540, 6131, 543, 849, 15826, 4966, 602, 616, 8036, 547, 1832, 596, 1981, 6954, 607, 1134, 607, 18663, 596, 547, 2611, 538, 2126, 269, 5600, 3835, 9525, 607, 1134, 607, 1489, 568, 513, 5458, 851, 540, 513, 14317, 9744, 779, 2126, 1544, 269, 26597, 14317, 7740, 1683, 3872, 2326, 585, 4759, 540, 519, 1920, 547, 679, 13097, 2933, 827, 3114, 6057, 607, 1134, 607, 8213, 865, 789, 666, 1489, 741, 17329, 835, 2429, 519, 3797, 5650, 269, 1411, 666, 2824, 513, 11222, 602, 3096, 6646, 29374, 11257, 267, 971, 607, 8715, 611, 821, 610, 4427, 2135, 821, 267, 547, 948, 596, 3247, 9001, 6527, 543, 5924, 4568, 269, 13878, 3292, 616, 6035, 585, 1312, 6738, 5725, 543, 849, 12322, 267, 607, 1134, 607, 666, 581, 3608, 538, 20408, 8213, 543, 7303, 26739, 269, 634, 1034, 2500, 4915, 14317, 6703, 2285, 606, 5790, 602, 568, 8716, 607, 1134, 607, 22205, 547, 782, 540, 741, 2043, 269, 1358, 616, 2111, 547, 2911, 3842, 1022, 13542, 602, 1522, 10836, 609, 16293, 607, 1134, 607, 4387, 267, 543, 849, 616, 24016, 547, 3717, 856, 952, 789, 1745, 789, 2461, 32626, 269, 26935, 1235, 693, 513, 4915, 14317, 4099, 666, 948, 3448, 5431, 741, 17329, 835, 779, 2783, 543, 875, 547, 1655, 2844, 873, 538, 973, 10967, 566, 269, 1358, 666, 849, 2491, 519, 1114, 2126, 2409, 607, 1134, 607, 875, 789, 1599, 267, 2059, 609, 1683, 9623, 827, 519, 1114, 12153, 540, 6219, 6057, 543, 849, 1175, 875, 547, 2061, 873, 269, 0, 12441, 596, 917, 602, 4563, 1792, 6545, 593, 14402, 30133, 666, 581, 513, 1455, 3390, 602, 21427, 3068, 267, 2523, 538, 2127, 609, 1164, 11195, 543, 7509, 269, 1452, 5667, 4774, 1792, 6545, 616, 2356, 3361, 676, 13479, 267, 4481, 630, 10908, 4141, 665, 2355, 320, 7395, 2742, 1070, 799, 29263, 538, 14927, 5054, 563, 763, 13479, 24032, 666, 3262, 998, 519, 2011, 543, 2244, 593, 519, 8122, 781, 2627, 267, 1141, 789, 1265, 513, 5078, 1604, 547, 1332, 269, 700, 7660, 12258, 10696, 30133, 4043, 547, 11677, 811, 3002, 267, 2870, 513, 3636, 543, 5848, 2783, 602, 8992, 13479, 2208, 563, 4407, 3109, 1792, 6545, 949, 711, 3100, 899, 513, 1713, 1966, 693, 1101, 267, 789, 666, 1291, 547, 1761, 3441, 952, 2451, 15860, 269, 634, 13479, 666, 3180, 7509, 1996, 519, 30133, 267, 23960, 741, 21324, 543, 4227, 741, 14438, 269, 3958, 267, 519, 4158, 1792, 6545, 666, 10110, 811, 7943, 267, 2417, 2810, 519, 8122, 781, 2837, 267, 799, 1223, 1764, 519, 1648, 4398, 540, 519, 2679, 563, 2414, 2232, 713, 3390, 267, 1896, 2994, 666, 581, 6964, 269, 634, 1034, 1455, 543, 2500, 1505, 568, 9941, 654, 4770, 269, 901, 1184, 568, 2966, 547, 9004, 13479, 543, 2061, 922, 2104, 2208, 269, 901, 2126, 4294, 5402, 547, 2057, 14124, 519, 30133, 563, 19894, 8122, 5826, 267, 1519, 9427, 11935, 543, 5329, 8937, 1562, 2973, 267, 666, 849, 948, 2061, 4430, 7509, 19221, 267, 799, 8309, 547, 519, 2208, 540, 13479, 563, 1103, 3932, 267, 3109, 1792, 6545, 593, 14402, 30133, 616, 2356, 3361, 676, 13479, 2208, 267, 543, 1247, 789, 949, 2408, 20027, 267, 789, 666, 1291, 547, 1279, 3856, 3441, 952, 711, 9619, 269, 8617, 5826, 543, 519, 946, 540, 3617, 7738, 2409, 666, 948, 1832, 707, 8122, 3168, 29814, 543, 8831, 922, 14438, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 563, 9596, 827, 713, 1888, 538, 891, 4930, 912, 268, 769, 13091, 281, 15486, 540, 16767, 454, 2507, 16149, 12966, 267, 1634, 607, 519, 1325, 335, 728, 25028, 267, 10596, 998, 519, 11335, 3148, 7532, 1189, 998, 5607, 543, 26082, 519, 8562, 636, 6261, 6680, 25028, 538, 519, 5101, 28851, 269, 634, 1648, 5950, 538, 16767, 689, 713, 12966, 568, 827, 476, 1428, 2600, 540, 519, 1158, 2698, 269, 1703, 849, 616, 11495, 4448, 26797, 540, 20381, 2534, 267, 5631, 2507, 5649, 2859, 0, 1492, 1739, 15451, 2669, 14258, 941, 6394, 689, 513, 3099, 540, 21734, 5574, 1031, 593, 1114, 552, 269, 19546, 5439, 269, 6582, 519, 11708, 2630, 538, 1931, 540, 519, 7145, 540, 891, 5574, 269, 8263, 602, 519, 1034, 2500, 2126, 568, 519, 835, 602, 267, 585, 513, 1880, 2551, 2450, 267, 19754, 552, 269, 19546, 519, 16595, 269, 16937, 11708, 602, 1397, 5439, 16271, 547, 2147, 5574, 563, 763, 2953, 2626, 814, 711, 2943, 1044, 1336, 585, 519, 2243, 269, 3776, 15645, 2209, 616, 3168, 585, 519, 1034, 5078, 3435, 585, 596, 269, 16393, 596, 2671, 707, 8292, 609, 721, 585, 519, 2626, 547, 713, 2243, 286, 0, 17606, 779, 519, 4346, 267, 29749, 1848, 901, 3956, 540, 519, 476, 1960, 273, 22735, 5859, 1631, 5526, 547, 581, 3617, 607, 649, 4283, 476, 1220, 272, 269, 10765, 1239, 689, 519, 2136, 2276, 267, 543, 689, 519, 1964, 540, 519, 1158, 607, 1134, 267, 9244, 6920, 602, 2518, 2804, 2208, 568, 6385, 19394, 269, 634, 2804, 3510, 3340, 2656, 2962, 711, 1152, 538, 519, 2136, 2276, 855, 849, 16268, 2962, 676, 824, 2477, 563, 763, 1007, 17312, 7245, 814, 519, 4161, 540, 711, 1152, 7598, 519, 1697, 2804, 4507, 585, 519, 2136, 2276, 855, 849, 8716, 824, 2477, 547, 798, 865, 538, 1931, 547, 2327, 4708, 543, 13884, 563, 23613, 1629, 31097, 798, 711, 1118, 2112, 593, 1142, 824, 269, 589, 12560, 1158, 3340, 602, 2477, 711, 1152, 581, 11180, 855, 723, 513, 10257, 1377, 540, 13884, 269, 4935, 267, 519, 3119, 3804, 540, 3486, 2804, 3609, 11129, 547, 581, 547, 5000, 824, 2477, 547, 1246, 4507, 602, 786, 1291, 547, 4028, 2804, 2208, 269, 1280, 606, 7245, 547, 8011, 538, 23187, 602, 5048, 267, 621, 568, 711, 2614, 585, 513, 1906, 9972, 3609, 24237, 538, 6115, 547, 1174, 519, 3804, 543, 519, 4507, 269, 2353, 9972, 2377, 29983, 10986, 1590, 849, 723, 513, 1434, 9787, 540, 1346, 3609, 2242, 602, 616, 2556, 538, 519, 2477, 538, 799, 789, 7500, 269, 901, 786, 711, 2049, 8259, 519, 3557, 4972, 543, 519, 824, 772, 2529, 269, 8041, 602, 723, 4914, 9021, 3648, 2087, 741, 2804, 3609, 2866, 563, 763, 1697, 4507, 616, 9247, 519, 1482, 585, 1164, 3766, 9512, 3638, 11615, 543, 3500, 3766, 9512, 4057, 11615, 269, 1520, 17518, 547, 519, 1739, 4808, 1131, 3142, 2640, 547, 3025, 912, 268, 16237, 6533, 519, 4341, 540, 1876, 543, 2327, 602, 519, 10470, 616, 5234, 539, 609, 3810, 19579, 543, 1875, 2275, 528, 4533, 8387, 563, 268, 853, 8494, 1125, 519, 1871, 540, 519, 9304, 543, 4894, 15641, 9323, 547, 922, 1863, 5385, 563, 268, 16237, 6533, 1863, 6990, 676, 9427, 15641, 9323, 267, 971, 607, 3902, 8060, 563, 268, 17658, 520, 1125, 3959, 543, 1683, 2178, 2229, 20038, 563, 268, 21079, 15641, 9323, 547, 1863, 4123, 563, 268, 21079, 1164, 8589, 3454, 3928, 267, 3226, 593, 4074, 543, 3854, 563, 268, 3550, 602, 2229, 17898, 2056, 3292, 616, 1942, 2500, 267, 543, 798, 711, 3648, 1253, 677, 12721, 1863, 6990, 610, 1683, 15314, 585, 1875, 335, 8793, 2238, 563, 268, 5269, 2386, 602, 6042, 616, 1942, 2500, 543, 798, 711, 3768, 340, 569, 15936, 609, 2596, 3540, 23118, 563, 2026, 6654, 607, 891, 5216, 2798, 949, 3100, 267, 789, 616, 9846, 896, 4323, 676, 2027, 4690, 538, 1312, 25133, 543, 1447, 25133, 2477, 269, 4438, 5712, 540, 13884, 267, 11761, 538, 519, 1657, 3609, 2127, 11148, 547, 2049, 267, 543, 3976, 519, 15799, 602, 9428, 538, 2804, 16209, 1590, 12212, 581, 1625, 3022, 563, 2419, 5190, 538, 2229, 616, 2067, 2053, 585, 971, 16268, 1625, 2471, 547, 1491, 1747, 269, 26062, 1296, 3516, 267, 519, 1007, 31144, 543, 2334, 7815, 4218, 5928, 267, 538, 519, 2136, 2276, 543, 519, 2136, 8003, 6606, 267, 3177, 971, 26349, 540, 519, 2804, 16209, 547, 1390, 4324, 563, 28347, 3887, 937, 6723, 654, 269, 17312, 1590, 1118, 971, 2242, 1934, 543, 5000, 824, 2477, 547, 798, 519, 1482, 269, 1677, 798, 713, 267, 6004, 269, 17312, 1590, 3533, 5234, 1883, 3609, 9708, 538, 519, 27308, 267, 3557, 543, 25642, 13623, 609, 3810, 19579, 605, 3766, 9512, 24192, 267, 543, 1175, 607, 11932, 267, 1020, 513, 3178, 540, 3609, 5234, 538, 519, 1883, 8041, 547, 4922, 13599, 1312, 772, 2529, 269, 543, 4914, 2229, 8387, 563, 3891, 2115, 547, 2057, 519, 12161, 1010, 4651, 1500, 267, 945, 4847, 930, 8387, 945, 1705, 711, 1489, 519, 2804, 3609, 593, 799, 646, 5859, 539, 547, 24183, 3609, 6388, 563, 10214, 1498, 25399, 267, 25847, 543, 3223, 2106, 14198, 1143, 723, 4503, 741, 2463, 1464, 267, 519, 1249, 568, 602, 519, 2493, 626, 1826, 540, 3206, 971, 24866, 9415, 568, 9800, 543, 1134, 543, 5170, 547, 723, 513, 16160, 1764, 593, 1158, 2804, 1134, 5630, 563, 2026, 606, 1383, 267, 3592, 782, 2463, 762, 24192, 1489, 1863, 4123, 267, 543, 519, 12170, 2963, 568, 11566, 602, 1863, 4123, 1568, 543, 602, 4123, 9993, 616, 3592, 2141, 16160, 269, 634, 5234, 540, 519, 17434, 9483, 9730, 540, 6837, 1175, 5950, 513, 1353, 6029, 602, 2477, 609, 519, 6574, 4123, 22371, 723, 2362, 2804, 2208, 3928, 543, 2362, 26038, 269, 4340, 547, 519, 1353, 267, 519, 476, 1321, 2477, 609, 519, 1034, 25516, 4507, 1185, 606, 3328, 2804, 2208, 2557, 540, 1152, 1547, 274, 2600, 585, 519, 1974, 689, 476, 2735, 271, 268, 2735, 279, 267, 543, 1152, 606, 3328, 829, 21027, 14407, 6469, 1587, 630, 294, 7894, 264, 540, 1269, 274, 267, 7742, 829, 1032, 269, 2201, 519, 824, 1688, 267, 519, 476, 1321, 2477, 609, 519, 1034, 1930, 4123, 4507, 1185, 606, 3328, 2804, 2208, 2557, 540, 476, 273, 269, 276, 2600, 585, 519, 1482, 1974, 267, 609, 606, 3328, 829, 21027, 12654, 540, 1269, 2537, 267, 4343, 278, 269, 8616, 519, 2136, 2276, 814, 1831, 5594, 811, 4027, 626, 538, 519, 2063, 1896, 1296, 267, 543, 519, 12503, 616, 3395, 1934, 543, 13383, 585, 811, 4027, 1143, 563, 6624, 2147, 2090, 666, 581, 11855, 585, 1142, 540, 519, 824, 3609, 2152, 1657, 269, 5398, 2804, 7924, 1590, 581, 9415, 952, 519, 22514, 580, 525, 540, 2493, 626, 3206, 616, 547, 581, 7753, 563, 2026, 519, 1158, 4346, 814, 1831, 5051, 7471, 267, 1169, 12504, 540, 519, 1158, 814, 513, 642, 6479, 1719, 538, 605, 3766, 9512, 2804, 4507, 10876, 269, 6270, 4507, 616, 711, 2469, 547, 2049, 8259, 519, 1377, 540, 2804, 7924, 568, 2799, 267, 3226, 1851, 519, 2797, 543, 2923, 5049, 269, 4935, 267, 585, 6004, 269, 17312, 547, 8011, 267, 646, 1590, 1711, 513, 1507, 7952, 540, 605, 3766, 9512, 2804, 3609, 24237, 267, 3868, 2209, 543, 7855, 2429, 519, 2229, 563, 32178 ]

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

[ 0, 14096, 634, 1053, 685, 12591, 26973, 4824, 1317, 676, 552, 17733, 2488, 519, 4316, 585, 1053, 547, 2087, 741, 1702, 540, 519, 946, 540, 18685, 267, 3854, 4484, 267, 543, 7344, 1603, 269, 661, 17733, 3112, 581, 9674, 689, 2780, 1317, 552, 17733, 568, 835, 540, 1982, 3177, 538, 4950, 2571, 16292, 3498, 269, 1879, 789, 1826, 519, 7084, 610, 5048, 593, 519, 2780, 1354, 11488, 621, 3842, 552, 17733, 267, 789, 666, 2638, 543, 6169, 1348, 519, 946, 540, 18685, 267, 3854, 4484, 267, 543, 7344, 1603, 7157, 269, 1358, 666, 849, 2638, 519, 28395, 267, 1884, 7716, 267, 543, 1256, 519, 2495, 540, 519, 1913, 6475, 1227, 269, 898, 1797, 602, 789, 4688, 741, 3407, 942, 538, 1603, 1257, 269, 16500, 30225, 527, 990, 630, 1220, 279, 281, 476, 272, 264, 1767, 602, 676, 1603, 1257, 593, 519, 552, 17733, 267, 519, 1053, 1223, 8415, 519, 661, 17733, 18049, 4856, 14431, 12229, 799, 2337, 593, 10992, 267, 31925, 267, 543, 14335, 741, 2296, 5220, 865, 789, 1831, 4977, 267, 2973, 267, 543, 31402, 269, 1261, 849, 1767, 602, 676, 1210, 552, 17733, 8239, 2638, 518, 267, 519, 1053, 666, 3362, 1265, 1896, 5383, 12077, 281, 630, 272, 264, 8850, 2697, 5220, 4070, 2042, 602, 949, 723, 1044, 14406, 1282, 513, 8261, 6169, 15105, 282, 630, 273, 264, 2667, 12371, 1053, 15849, 559, 908, 2296, 8239, 3652, 282, 630, 274, 264, 25947, 1053, 685, 1582, 6015, 609, 741, 1603, 563, 29467, 729, 513, 1713, 3017, 593, 12591, 26973, 1063, 1053, 945, 946, 1395, 565, 532, 783, 8675, 543, 1346, 945, 946, 19636, 8675, 6100, 634, 14275, 8367, 630, 295, 334, 2567, 968, 2467, 729, 1100, 1713, 3017, 593, 12591, 26973, 1063, 1053, 945, 946, 1395, 565, 532, 783, 8675, 543, 1346, 945, 946, 19636, 8675, 7536, 14048, 2296, 269, 2296, 3610, 723, 547, 581, 2111, 547, 6582, 741, 7084, 3927, 269, 1358, 616, 18796, 547, 18663, 519, 1053, 538, 1931, 547, 1451, 2296, 1134, 269, 29923, 519, 1148, 540, 1603, 568, 519, 2582, 1034, 1271, 2460, 540, 1565, 513, 2034, 610, 4914, 1893, 267, 543, 513, 1967, 568, 6027, 538, 2474, 540, 519, 2702, 547, 4163, 856, 513, 1257, 267, 538, 519, 1893, 269, 2290, 540, 519, 1034, 1271, 538, 2296, 3450, 568, 513, 968, 6011, 798, 649, 1020, 938, 1053, 685, 12591, 26973, 9731, 20082, 281, 634, 1353, 568, 6322, 693, 3384, 519, 6388, 540, 5675, 6713, 13979, 630, 310, 5183, 264, 547, 3986, 519, 1053, 685, 5578, 538, 1603, 1557, 269, 634, 1353, 6964, 15858, 11059, 3194, 269, 634, 5396, 540, 519, 1353, 941, 476, 1428, 6280, 1053, 19801, 538, 519, 1603, 1362, 269, 634, 1239, 941, 6591, 689, 1603, 4305, 267, 8343, 543, 2361, 4967, 269, 634, 4681, 1397, 602, 519, 6388, 540, 654, 5183, 609, 519, 1697, 2203, 5773, 2919, 666, 3986, 519, 1053, 685, 5578, 538, 1603, 1557, 269, 6969, 519, 4640, 729, 8045, 267, 519, 6871, 540, 519, 1053, 8236, 519, 6060, 3152, 982, 610, 3160, 547, 595, 630, 6321, 268, 3583, 264, 729, 476, 2412, 269, 876, 260, 630, 277, 1053, 540, 519, 1362, 1040, 1717, 267, 1310, 519, 4640, 729, 8045, 538, 18888, 594, 267, 621, 8476, 2614, 547, 476, 2568, 269, 876, 260, 630, 280, 1053, 540, 519, 1362, 1070, 855, 713, 1267, 1705, 711, 2743, 519, 7355, 540, 1967, 1305, 909, 538, 519, 1353, 269, 8921, 267, 538, 18888, 4083, 621, 2799, 5594, 547, 476, 10436, 269, 6858, 260, 630, 1724, 1053, 540, 519, 1362, 1040, 4935, 267, 519, 19349, 540, 519, 1053, 685, 5578, 538, 1603, 1557, 666, 581, 6603, 855, 621, 1058, 1246, 519, 1697, 2203, 5773, 540, 519, 6388, 540, 654, 5183, 2919, 269, 27511, 281, 1603, 1184, 1935, 267, 12591, 26973, 267, 1557, 1603, 454, 763, 6663, 540, 713, 1382, 616, 547, 1265, 540, 2542, 8515, 267, 547, 4983, 519, 2875, 685, 21389, 621, 532, 1983, 267, 543, 547, 16785, 555, 552, 3310, 540, 519, 1053, 685, 2542, 8515, 4724, 519, 1053, 685, 12591, 26973, 269, 1635, 7311, 10855, 11050, 1935, 543, 1210, 9756, 1382, 267, 519, 1641, 540, 519, 1353, 616, 519, 3791, 1032, 1053, 540, 590, 6573, 715, 476, 272, 3400, 321, 698, 267, 28763, 269, 7395, 601, 836, 267, 538, 519, 4081, 1032, 540, 476, 1220, 279, 270, 1220, 280, 269, 11531, 267, 519, 3732, 540, 519, 1382, 616, 476, 2412, 1053, 540, 1079, 5049, 602, 616, 3144, 676, 7311, 14404, 1881, 10386, 4480, 269, 5015, 267, 972, 616, 1079, 4632, 602, 616, 9916, 269, 1358, 616, 1053, 685, 2542, 538, 512, 3748, 607, 4830, 4756, 543, 1053, 685, 12591, 26973, 607, 4096, 757, 4756, 269, 9122, 593, 519, 9819, 540, 519, 2565, 678, 538, 519, 1377, 540, 1713, 540, 476, 276, 9077, 519, 5856, 1336, 602, 678, 15383, 513, 761, 332, 25677, 568, 2362, 982, 678, 15383, 3349, 269, 4475, 267, 972, 568, 3310, 540, 2542, 8515, 4724, 12591, 26973, 269, 27511, 281, 7335, 267, 2271, 3748, 267, 5675, 454, 763, 7145, 540, 4687, 610, 4758, 1344, 1223, 581, 2938, 950, 1268, 13290, 547, 5968, 609, 824, 7606, 538, 2854, 3029, 269, 634, 5856, 14659, 602, 519, 1344, 1223, 581, 2500, 952, 519, 3988, 1174, 1018, 5856, 3081, 538, 2854, 1106, 269, 898, 568, 1114, 689, 9275, 1106, 282, 519, 10584, 14753, 547, 519, 26575, 2047, 269, 3371, 267, 10584, 1281, 711, 723, 1454, 942, 547, 1589, 811, 269, 5675, 568, 835, 540, 519, 2185, 1893, 1983, 281, 2542, 267, 1603, 267, 6947, 543, 6340, 269, 5675, 543, 6340, 616, 11327, 5578, 269, 2334, 1797, 789, 4125, 6721, 1893, 2864, 982, 8391, 621, 269, 5047, 12591, 26973, 568, 811, 7294, 982, 1866, 1983, 538, 2296, 1893, 269, 13360, 902, 26973, 568, 711, 1152, 6158, 827, 6121, 332, 1513, 543, 4938, 629, 983, 625, 855, 849, 6158, 827, 12497, 543, 10385, 2609, 269, 5221, 540, 519, 7965, 267, 930, 3646, 723, 1044, 2944, 547, 4194, 519, 2042, 267, 519, 3483, 568, 547, 1118, 1603, 3587, 4443, 543, 4277, 547, 1451, 585, 1053, 563, 3725, 341, 2358, 568, 606, 2534, 1141, 519, 1053, 23590, 741, 1603, 543, 6956, 519, 2953, 5220, 950, 519, 1053, 6432, 547, 519, 1913, 607, 789, 1224, 269, 968, 763, 2262, 540, 14469, 12777, 1797, 968, 1729, 1294, 1586, 892, 602, 568, 1018, 2847, 2358, 782, 827, 7868, 3610, 1131, 2303, 519, 1053, 547, 1224, 741, 1603, 16965, 267, 1287, 519, 3610, 723, 873, 547, 960, 1927, 547, 1118, 2242, 602, 3986, 1620, 892, 630, 298, 754, 718, 1299, 10609, 340, 517, 267, 476, 1220, 277, 281, 276, 1040, 24511, 950, 519, 4058, 267, 26004, 267, 543, 2847, 2358, 616, 2944, 267, 519, 3803, 3942, 585, 1053, 945, 20053, 547, 2671, 741, 960, 568, 1289, 607, 11049, 269, 7984, 638, 28496, 1299, 631, 743, 591, 630, 1220, 276, 281, 2641, 1070, 968, 2691, 1053, 23590, 267, 789, 616, 11504, 547, 1893, 2298, 543, 5048, 22122, 855, 267, 950, 1053, 12575, 267, 789, 1419, 13404, 593, 519, 1603, 4879, 6100, 1924, 267, 519, 1053, 1131, 6956, 1018, 1058, 789, 1705, 538, 11049, 942, 269, 1306, 513, 2339, 540, 519, 1249, 267, 1603, 568, 513, 2792, 543, 952, 519, 1053, 2328, 1945, 267, 789, 1590, 20053, 585, 2576, 547, 1224, 621, 267, 1256, 952, 602, 1268, 568, 1152, 513, 2875, 3294, 269, 634, 2063, 3942, 538, 1603, 1184, 568, 13629, 269, 968, 898, 2709, 1053, 4316, 547, 1491, 741, 1603, 856, 547, 741, 2828, 543, 519, 3610, 723, 547, 1683, 519, 2923, 610, 1907, 547, 18663, 1053, 547, 15476, 741, 1603, 892, 630, 298, 754, 718, 1299, 10609, 340, 517, 267, 476, 1220, 277, 281, 279, 1916, 1607, 1382, 18271, 12007, 1382, 1374, 543, 729, 17298, 693, 29329, 23016, 5049, 693, 12200, 540, 28299, 667, 1014, 715, 639, 342, 656, 19660, 2160, 269, 634, 6437, 540, 2296, 1983, 693, 20513, 540, 28299, 667, 1014, 715, 639, 342, 656, 19660, 2160, 6964, 9135, 2861, 1935, 538, 799, 782, 519, 2296, 1983, 616, 7471, 547, 835, 1776, 269, 634, 1053, 941, 6026, 6609, 607, 519, 6249, 540, 519, 1570, 2016, 693, 13591, 6947, 5049, 269, 2311, 519, 1482, 942, 267, 538, 824, 2296, 5578, 5396, 267, 552, 3052, 538, 29329, 5675, 267, 789, 849, 4121, 6609, 1257, 269, 13517, 568, 835, 540, 519, 11964, 602, 11394, 547, 4766, 513, 1880, 1268, 267, 1747, 610, 3364, 630, 295, 2459, 1180, 1696, 269, 531, 267, 476, 1960, 273, 281, 4281, 1040, 2311, 1101, 267, 1053, 941, 2016, 6947, 1570, 543, 1287, 5941, 519, 1570, 1519, 519, 2055, 538, 6292, 610, 538, 1895, 676, 6998, 1053, 547, 1491, 4063, 519, 1271, 540, 1808, 5171, 543, 4938, 629, 983, 625, 269, 769, 11543, 519, 1239, 267, 519, 1053, 941, 4280, 547, 2328, 513, 6609, 1257, 693, 519, 1439, 540, 519, 6947, 1362, 269, 5675, 729, 519, 3803, 1867, 538, 1169, 5870, 693, 29329, 23016, 5049, 269, 1703, 941, 476, 4281, 1053, 543, 585, 519, 19160, 540, 1239, 2079, 267, 519, 11001, 3576, 476, 274, 1053, 8072, 6609, 12591, 607, 519, 5439, 540, 713, 1382, 1625, 1842, 1947, 269, 769, 7421, 519, 1239, 267, 9135, 1759, 1935, 729, 4294, 543, 11528, 6198, 23316, 538, 2165, 540, 28176, 2497, 543, 10409, 905, 2246, 999, 1031, 538, 1931, 547, 7866, 1053, 8072, 6609, 1603, 1646, 269, 769, 1840, 267, 6947, 1565, 4783, 2919, 676, 12197, 630, 1220, 279, 264, 6227, 281, 840, 2000, 626, 2287, 267, 3573, 6947, 267, 14021, 6947, 543, 2022, 2000, 626, 2287, 729, 8045, 547, 3391, 1053, 547, 2328, 513, 1257, 1310, 789, 19557, 547, 519, 8301, 2016, 607, 4330, 538, 519, 4137, 476, 272, 2630, 912, 763, 1382, 4681, 1397, 602, 9050, 12384, 5675, 631, 2802, 617, 1223, 2087, 281, 630, 272, 264, 1053, 685, 12591, 26973, 540, 973, 1735, 512, 1257, 630, 273, 264, 4928, 3510, 269, 13565, 547, 519, 6454, 540, 630, 272, 1070, 621, 2882, 281, 630, 320, 264, 634, 1053, 1185, 7864, 7965, 538, 3695, 2093, 547, 2328, 630, 321, 264, 1358, 849, 1500, 7864, 9073, 538, 14335, 1007, 5220, 1210, 2241, 2250, 13029, 630, 322, 264, 4256, 2262, 3903, 3893, 21950, 1310, 519, 1382, 630, 323, 264, 1358, 941, 2111, 547, 16174, 519, 13598, 2497, 540, 22281, 1257, 543, 946, 519, 3617, 2262, 5912, 630, 324, 264, 1358, 941, 2111, 547, 946, 519, 3617, 2262, 1931, 538, 741, 5220, 269, 19634, 940, 593, 519, 6454, 540, 630, 273, 1070, 621, 13408, 281, 630, 320, 264, 634, 1053, 25864, 5360, 7134, 950, 789, 941, 4280, 547, 2328, 630, 321, 264, 1358, 941, 2111, 547, 2626, 4116, 779, 2055, 543, 1373, 3742, 547, 2307, 2055, 547, 519, 4116, 630, 322, 264, 1358, 1705, 711, 20549, 547, 1459, 741, 12591, 538, 4395, 540, 519, 1362, 630, 323, 264, 1358, 6170, 10156, 942, 543, 941, 2111, 547, 9096, 519, 1603, 593, 942, 630, 324, 264, 1358, 6976, 3007, 547, 519, 4116, 267, 1053, 1705, 711, 1413, 19252, 610, 1118, 6846, 269, 14755, 519, 1079, 4681, 1657, 267, 972, 941, 824, 4681, 607, 5205, 281, 630, 274, 264, 634, 1053, 30870, 519, 11001, 3544, 519, 1362, 630, 275, 264, 1358, 4280, 519, 11001, 547, 4001, 873, 3476, 563, 3891, 814, 5342, 1896, 2930, 1603, 543, 2645, 11925, 269, 1261, 729, 513, 2871, 652, 20513, 693, 2817, 4659, 540, 5071, 5025, 327, 4364, 21171, 267, 4095, 4659, 540, 5303, 5336, 26842, 267, 543, 4972, 540, 4750, 1143, 6261, 2317, 269, 1261, 814, 2016, 12909, 593, 2930, 1603, 538, 15473, 971, 607, 29375, 2562, 267, 5254, 290, 3127, 2676, 307, 22736, 827, 1565, 2296, 267, 568, 711, 1152, 6158, 827, 6340, 267, 6947, 543, 2542, 267, 855, 849, 1603, 269, 5221, 267, 538, 1565, 2296, 267, 1053, 946, 1312, 6340, 543, 1603, 538, 1931, 547, 5968, 609, 1776, 269, 634, 1053, 1376, 1565, 547, 5968, 998, 2854, 1106, 607, 789, 2253, 547, 2170, 609, 1866, 693, 1153, 1377, 269, 634, 12591, 26973, 568, 811, 7294, 982, 602, 540, 824, 1893, 1983, 269, 4634, 3006, 513, 5065, 10584, 540, 519, 2296, 1893, 949, 1995, 28658, 538, 513, 16602, 3510, 269, 26023, 519, 12591, 26973, 3340, 513, 1134, 3613, 19099, 1259, 540, 519, 6881, 540, 4555, 538, 606, 6896, 543, 9709, 1259, 269, 22054, 610, 513, 1257, 267, 519, 1053, 723, 547, 1445, 593, 519, 3652, 540, 1603, 971, 607, 1888, 540, 5037, 267, 1560, 540, 5037, 267, 8753, 540, 5037, 543, 865, 593, 563, 339, 5460, 3446, 267, 1317, 519, 12591, 26973, 538, 713, 3446 ]

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

[ 5749, 1405, 585, 519, 2034, 910, 594, 1589, 789, 941, 3622, 2469, 585, 811, 1175, 1769, 27329, 6272, 585, 519, 2034, 3903, 267, 899, 645, 731, 270, 11764, 3000, 518, 22230, 1046, 26427, 269, 3962, 5614, 519, 6837, 1308, 4659, 13384, 832, 513, 18487, 1164, 1153, 3308, 1148, 6735, 547, 5431, 543, 5000, 7499, 13007, 538, 519, 4182, 543, 538, 1142, 18322, 1308, 8664, 269, 968, 296, 1616, 547, 9684, 782, 540, 938, 918, 268, 276, 1053, 945, 15548, 538, 713, 16311, 2223, 31924, 17135, 715, 340, 10722, 14162, 1767, 269, 7225, 2471, 4967, 281, 834, 8110, 2739, 10155, 538, 713, 2261, 514, 4673, 910, 327, 1080, 782, 519, 1318, 4967, 602, 596, 1616, 538, 513, 2261, 514, 4673, 268, 11922, 267, 13342, 267, 8126, 267, 16603, 267, 609, 513, 20726, 540, 6653, 602, 6492, 899, 621, 2501, 689, 519, 3903, 540, 16603, 269, 2349, 11170, 731, 30007, 9906, 3203, 2552, 652, 476, 1001, 280, 12736, 2996, 22969, 7922, 11170, 731, 30007, 9906, 3203, 2552, 652, 476, 1001, 280, 12736, 2996, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12089, 9012, 7502, 720, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3203, 1315, 9828, 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, 0, 769, 519, 15489, 540, 476, 4489, 275, 267, 9624, 519, 544, 28854, 4610, 543, 964, 25544, 8916, 540, 5375, 674, 1633, 619, 267, 1079, 649, 776, 7980, 554, 3291, 1194, 1927, 538, 513, 2306, 31183, 29503, 269, 2290, 267, 513, 1762, 3703, 4357, 3957, 7338, 267, 588, 1563, 10145, 569, 883, 519, 3845, 267, 1010, 4064, 10452, 513, 2620, 2631, 540, 21817, 543, 771, 650, 4288, 618, 269, 3571, 13959, 267, 606, 4587, 3943, 1583, 613, 656, 3957, 10496, 13196, 267, 6035, 1864, 513, 2220, 580, 689, 1010, 1166, 2532, 267, 922, 9115, 513, 14984, 598, 1723, 794, 540, 6216, 344, 543, 29997, 566, 780, 24171, 3576, 513, 521, 760, 1354, 2588, 18146, 267, 834, 1432, 781, 519, 1448, 540, 782, 713, 267, 5395, 613, 656, 8119, 1261, 9694, 3293, 2509, 519, 3046, 1066, 2244, 3564, 741, 29503, 267, 1141, 25044, 16115, 1011, 10757, 21237, 267, 16213, 726, 6979, 540, 8673, 543, 11935, 883, 519, 2011, 780, 297, 659, 13196, 521, 19042, 8185, 267, 11432, 1359, 875, 1655, 547, 4431, 547, 971, 606, 16650, 13214, 269, 2991, 8090, 540, 14719, 894, 16563, 267, 646, 6368, 12038, 269, 834, 7468, 10675, 267, 798, 596, 917, 1946, 789, 1289, 891, 512, 29168, 1412, 1492, 5779, 32291, 286, 262, 5016, 24171, 695, 809, 1010, 2212, 32444, 569, 780, 257, 10303, 1142, 1554, 2437, 4797, 10496, 13196, 267, 834, 933, 6494, 938, 2367, 547, 3068, 1978, 2669, 1996, 606, 10546, 945, 568, 8449, 5462, 547, 26718, 873, 269, 1656, 2943, 267, 5103, 519, 1286, 333, 720, 267, 4986, 2242, 3010, 3891, 17328, 4310, 4090, 3320, 267, 11018, 1010, 4555, 1354, 11173, 269, 834, 3719, 972, 514, 6013, 707, 2626, 267, 17721, 269, 1411, 1294, 267, 10617, 616, 2760, 827, 10888, 610, 9561, 282, 3079, 267, 789, 4196, 1152, 547, 7866, 18495, 781, 4390, 585, 9552, 910, 543, 6043, 3010, 2026, 952, 5309, 9822, 908, 1010, 3948, 267, 1776, 2019, 2917, 540, 7784, 13933, 30192, 7404, 269, 5637, 2367, 15859, 1947, 21868, 539, 2539, 538, 741, 9757, 25653, 8083, 267, 7996, 2394, 519, 524, 659, 2684, 3415, 7449, 3660, 2899, 1586, 780, 297, 659, 13196, 1287, 4797, 267, 834, 1607, 2112, 814, 2907, 4957, 721, 1107, 8103, 3294, 269, 1284, 4312, 2938, 1919, 1100, 1268, 1058, 2479, 7198, 1862, 663, 15068, 3010, 24171, 6743, 26617, 855, 1767, 4986, 269, 5502, 267, 646, 19557, 32348, 607, 10496, 13196, 22281, 539, 8941, 540, 519, 3520, 5558, 1102, 21719, 676, 9241, 2919, 9362, 543, 519, 22266, 19178, 540, 29503, 13137, 269, 3962, 2272, 6039, 607, 513, 22880, 12576, 540, 519, 14042, 4539, 540, 2413, 4655, 780, 8601, 519, 1989, 574, 1641, 2339, 267, 2705, 267, 972, 7283, 513, 1350, 20810, 540, 4126, 1369, 10496, 13196, 262, 1913, 269, 1280, 1256, 9624, 519, 14784, 543, 25010, 267, 646, 5156, 602, 930, 3152, 3483, 1223, 1869, 10836, 689, 519, 607, 1127, 910, 2436, 621, 2482, 538, 519, 13710, 1379, 540, 1480, 16608, 610, 519, 1761, 4245, 4121, 689, 2486, 781, 4158, 652, 5662, 780, 4517, 865, 267, 998, 741, 3838, 7092, 543, 8994, 1620, 267, 891, 12691, 635, 10232, 1336, 24176, 538, 519, 1702, 602, 789, 941, 851, 540, 1945, 3677, 982, 2933, 269, 9282, 519, 1158, 1472, 873, 1522, 1835, 18443, 896, 519, 2597, 540, 2112, 267, 789, 1131, 829, 572, 3164, 267, 3808, 1927, 676, 513, 6125, 585, 3022, 538, 1973, 543, 15093, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 12441, 519, 11135, 540, 962, 26078, 723, 1022, 9434, 1764, 593, 519, 2112, 4674, 888, 8133, 267, 519, 11135, 540, 962, 26078, 1185, 1896, 9434, 5222, 593, 519, 2112, 4674, 1384, 272, 269, 8779, 569, 25096, 281, 634, 6370, 8507, 538, 519, 2530, 540, 936, 476, 7742, 267, 1822, 20466, 7980, 543, 936, 476, 1220, 267, 1822, 4436, 7980, 269, 1452, 25096, 1185, 513, 1713, 1764, 593, 519, 27907, 543, 2200, 540, 1312, 5011, 780, 273, 269, 4985, 540, 1007, 13137, 4066, 281, 634, 6370, 4718, 519, 1101, 946, 540, 3154, 607, 513, 14049, 540, 2112, 269, 901, 3366, 547, 519, 1646, 540, 811, 24037, 543, 4359, 3114, 9604, 267, 799, 1185, 513, 7096, 1764, 593, 13137, 1282, 2622, 2782, 594, 780, 274, 269, 570, 3402, 13137, 281, 634, 11135, 540, 962, 26078, 729, 835, 540, 519, 1101, 2101, 12959, 540, 2622, 2782, 594, 547, 4183, 3573, 29503, 13137, 269, 570, 3402, 13137, 2968, 513, 1455, 8671, 545, 538, 519, 2112, 267, 543, 621, 1185, 513, 9434, 1764, 593, 4108, 12485, 543, 4640, 780, 275, 269, 853, 531, 655, 622, 281, 6736, 519, 1164, 1942, 540, 2729, 543, 2200, 267, 519, 6370, 1705, 711, 1267, 538, 513, 1713, 16857, 2744, 585, 2901, 2427, 269, 901, 8329, 547, 519, 26106, 655, 622, 602, 1347, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]

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

[ 1310, 7986, 2520, 19398, 545, 626, 14208, 10275, 342, 836, 630, 291, 1511, 264, 31474, 267, 519, 7777, 568, 519, 1101, 1383, 540, 513, 1164, 25774, 7513, 3623, 6510, 829, 990, 12921, 924, 630, 25519, 31333, 302, 274, 264, 1336, 593, 3047, 269, 6271, 1106, 540, 6970, 31333, 302, 274, 267, 1634, 607, 530, 3326, 770, 31354, 267, 568, 4122, 1336, 2066, 519, 8608, 267, 855, 546, 1511, 2742, 334, 924, 814, 513, 26543, 2497, 602, 3029, 1152, 896, 1164, 2604, 543, 1164, 5210, 538, 3047, 781, 25136, 267, 519, 5631, 4396, 4494, 540, 3047, 16290, 1063, 519, 9018, 4295, 543, 519, 12933, 563, 291, 1511, 2742, 334, 924, 814, 1279, 1044, 4397, 547, 581, 606, 10731, 543, 2520, 32554, 1227, 1271, 7777, 538, 3047, 781, 25136, 269, 1809, 3744, 723, 2760, 1336, 1022, 1463, 2963, 540, 922, 6228, 1317, 621, 9397, 1524, 883, 824, 6886, 950, 621, 7575, 4724, 519, 2627, 543, 2604, 11081, 269, 1717, 267, 2079, 540, 513, 14776, 689, 645, 1824, 32272, 267, 799, 4646, 538, 519, 25136, 1472, 476, 25148, 5195, 630, 32133, 12919, 264, 2630, 3047, 781, 2627, 267, 814, 7000, 513, 3732, 540, 16856, 546, 1511, 2742, 334, 924, 16290, 3330, 269, 1306, 513, 1267, 267, 519, 4139, 25115, 16479, 5948, 814, 1631, 9672, 546, 1511, 2742, 334, 924, 607, 513, 1007, 7777, 563, 302, 1998, 8433, 23977, 4754, 2892, 1393, 910, 5518, 15525, 543, 12832, 3559, 548, 17880, 11169, 269, 17421, 676, 8891, 324, 27804, 5633, 269, 15525, 7732, 267, 715, 2752, 288, 9517, 476, 1220, 27543, 6858, 272, 563, 301, 545, 3559, 548, 17880, 11169, 693, 8331, 781, 3794, 3317, 3194, 4741, 267, 476, 275, 270, 736, 270, 3192, 278, 267, 715, 2752, 288, 9517, 476, 14690, 6924, 272, 2537, 563, 258, 6020, 303, 12832, 3559, 548, 17880, 11169, 454, 30252, 7066, 330, 781, 700, 339, 269, 772, 327, 3120, 4422, 547, 519, 3803, 20281, 454, 3528, 19257, 3554, 21890, 27332, 267, 5398, 16457, 454, 301, 545, 3559, 548, 17880, 11169, 910, 8331, 5589, 8816, 618, 17912, 476, 3192, 278, 563, 2108, 8310, 3781, 267, 1250, 3993, 267, 12832, 3559, 548, 17880, 11169, 267, 13151, 3518, 539, 547, 2067, 3123, 543, 5293, 2476, 269, 4173, 1769, 2705, 267, 899, 519, 3504, 15270, 1631, 1373, 2938, 585, 519, 1101, 942, 267, 786, 2611, 585, 721, 543, 2104, 5481, 547, 2972, 267, 1451, 689, 267, 543, 2721, 6667, 269, 670, 619, 729, 513, 1272, 1134, 5030, 543, 607, 971, 513, 2203, 585, 721, 782, 1701, 15048, 689, 17880, 11169, 685, 5067, 267, 918, 1803, 9652, 454, 301, 747, 11169, 609, 740, 1681, 11655, 693, 8331, 781, 3794, 3317, 3194, 4741, 267, 476, 275, 270, 736, 270, 3192, 278, 267, 715, 2752, 288, 9517, 476, 14690, 6924, 272, 2190, 4586, 301, 545, 3559, 548, 17880, 11169, 6585, 513, 4062, 540, 513, 9682, 4843, 676, 12650, 269, 6424, 9410, 693, 715, 3036, 4696, 267, 476, 272, 270, 277, 270, 3192, 278, 267, 681, 294, 476, 31079, 269, 6732, 1934, 563, 301, 3036, 4696, 2046, 5305, 476, 272, 270, 277, 270, 3192, 278, 267, 681, 294, 476, 31079, 267, 19475, 540, 2475, 5794, 10414, 267, 2228, 563, 1103, 6490, 528, 3554, 281, 12832, 3559, 548, 17880, 11169, 630, 4350, 273, 268, 1708, 273, 1070, 2817, 19964, 5240, 563, 2414, 645, 1245, 569, 3619, 7316, 3143, 630, 310, 334, 264, 10048, 13201, 717, 821, 6969, 2507, 676, 19964, 28154, 4880, 22781, 4354, 4471, 563, 301, 545, 3559, 548, 17880, 11169, 4477, 6244, 8331, 16505, 21940, 2456, 593, 3047, 543, 538, 6611, 267, 8331, 10993, 454, 300, 2801, 8349, 808, 655, 2581, 268, 634, 3689, 3979, 1977, 19716, 538, 6611, 267, 26629, 806, 540, 3778, 676, 667, 6511, 700, 4861, 16037, 563, 22129, 16709, 910, 8331, 19475, 693, 519, 2817, 19964, 454, 2791, 1589, 596, 666, 9794, 803, 11631, 286, 0, 4407, 596, 616, 10409, 5079, 543, 922, 3095, 609, 2165, 568, 4143, 547, 1022, 6848, 2796, 6382, 954, 32643, 12460, 267, 799, 2078, 568, 16887, 32330, 547, 1378, 19366, 5095, 6849, 1893, 2542, 543, 596, 666, 1893, 7816, 454, 16920, 3363, 1797, 1312, 513, 1434, 15226, 779, 4664, 547, 519, 570, 299, 1895, 607, 1134, 607, 570, 299, 2818, 685, 3206, 883, 15226, 779, 4633, 1858, 267, 1317, 1582, 18101, 1211, 11994, 883, 1312, 2356, 2693, 547, 581, 2337, 700, 273, 2542, 982, 2942, 3206, 609, 519, 1312, 563, 3412, 680, 1221, 2179, 540, 7622, 3823, 570, 299, 2749, 5267, 602, 519, 6216, 1007, 12675, 1053, 3251, 2987, 519, 4195, 1007, 570, 299, 1858, 267, 513, 2603, 811, 2693, 621, 779, 602, 789, 3580, 1118, 9488, 4296, 593, 519, 570, 299, 1362, 1247, 2348, 1259, 811, 26136, 585, 4974, 563, 24552, 1521, 2048, 338, 519, 4250, 610, 11688, 2787, 21295, 538, 6158, 513, 16994, 700, 273, 3823, 952, 519, 10584, 1419, 1397, 922, 9133, 7561, 610, 952, 519, 700, 273, 6165, 786, 581, 20335, 3857, 958, 563, 301, 677, 517, 1797, 4199, 2899, 519, 513, 15226, 779, 7029, 547, 700, 273, 4974, 267, 799, 10115, 538, 3009, 12423, 568, 1256, 513, 1434, 5092, 950, 596, 1413, 693, 519, 835, 779, 2012, 454, 12892, 993, 10270, 949, 849, 1118, 2566, 543, 4160, 267, 621, 568, 519, 1267, 540, 968, 25912, 1007, 771, 528, 1304, 566, 1336, 32448, 540, 17511, 513, 1114, 2528, 269, 543, 713, 11651, 1206, 942, 543, 1719, 856, 540, 2034, 1913, 1620, 892, 630, 5576, 30977, 267, 476, 2735, 277, 2073, 533, 269, 476, 4343, 274, 1916, 292, 2998, 12656, 1889, 1464, 27605, 883, 1620, 602, 519, 2043, 10409, 3435, 1020, 3919, 10665, 1369, 519, 2576, 779, 2212, 543, 581, 6650, 1889, 762, 269, 661, 2998, 12656, 1889, 1464, 267, 1287, 267, 568, 519, 15226, 779, 7274, 540, 771, 514, 22128, 543, 596, 666, 22371, 865, 596, 666, 570, 299, 1826, 538, 563, 7212, 519, 6452, 738, 4851, 7844, 6589, 585, 540, 1896, 596, 616, 2111, 547, 6381, 602, 666, 1764, 513, 1268, 779, 1893, 1620, 1702, 540, 519, 5767, 570, 299, 8378, 267, 621, 3091, 922, 10148, 609, 922, 12170, 3301, 269, 2290, 547, 1134, 8153, 3390, 568, 865, 621, 1281, 711, 3142, 606, 11807, 5943, 585, 875, 835, 779, 2123, 2012, 4249, 513, 1909, 538, 934, 738, 4851, 267, 6382, 538, 4641, 1175, 875, 3961, 2094, 513, 1514, 4020, 666, 581, 2813, 950, 596, 1413, 693, 519, 21376, 26176, 2088, 12602, 602, 949, 28148, 4743, 2043, 685, 700, 273, 2866, 3435, 267, 2409, 267, 543, 596, 666, 3206, 269, 5015, 267, 621, 779, 4122, 23503, 602, 3961, 2119, 3742, 543, 596, 666, 11630, 547, 16311, 566, 543, 596, 949, 19908, 1524, 12517, 547, 713, 1826, 540, 4222, 1114, 10118, 630, 9093, 731, 8862, 541, 19213, 267, 476, 1220, 280, 6902, 17368, 517, 267, 476, 1001, 274, 6902, 17547, 267, 476, 1001, 275, 6902, 11023, 9109, 17368, 517, 267, 476, 1001, 276, 30155, 5804, 713, 5133, 267, 824, 1007, 1374, 547, 1378, 1620, 519, 6848, 5133, 2476, 689, 6863, 1565, 2048, 338, 519, 2856, 540, 968, 21129, 3496, 2223, 2899, 519, 17695, 1242, 540, 519, 17368, 517, 630, 1220, 271, 264, 1547, 18738, 1200, 630, 1220, 271, 264, 1451, 689, 3009, 2542, 1851, 19366, 21031, 538, 4516, 267, 1519, 267, 17368, 517, 2982, 1007, 6528, 3386, 26176, 2088, 1894, 596, 547, 9090, 4137, 2043, 685, 700, 273, 2542, 3681, 267, 543, 875, 519, 1419, 12790, 6848, 17568, 666, 1764, 922, 7616, 538, 700, 273, 4974, 269, 634, 1523, 540, 3854, 1223, 723, 1044, 2322, 593, 1082, 2090, 689, 3330, 519, 519, 2250, 1906, 1296, 630, 8000, 22603, 267, 476, 1220, 275, 6902, 12390, 20364, 267, 476, 1220, 276, 6902, 11612, 326, 1231, 267, 476, 1001, 272, 6902, 18498, 267, 521, 8807, 13776, 543, 596, 949, 3226, 538, 519, 4055, 1055, 4179, 2517, 323, 908, 17213, 532, 14492, 270, 515, 730, 268, 3530, 4202, 21623, 575, 25311, 3961, 543, 596, 786, 1893, 946, 883, 519, 606, 25981, 19366, 5133, 630, 301, 677, 517, 267, 476, 1220, 271, 282, 4787, 559, 2023, 4149, 2643, 1407, 614, 267, 476, 1220, 273, 6902, 9093, 731, 8862, 541, 19213, 267, 476, 1220, 280, 6902, 21919, 3385, 267, 476, 1001, 271, 15426, 3767, 267, 11023, 9109, 543, 596, 666, 17368, 517, 630, 1001, 276, 264, 15974, 513, 811, 2143, 6216, 540, 2883, 1489, 267, 19163, 596, 547, 9090, 1317, 11528, 19367, 1055, 1852, 616, 1360, 782, 519, 811, 18334, 18476, 267, 2883, 1489, 711, 8806, 2501, 547, 6003, 267, 849, 12969, 338, 602, 723, 12550, 26176, 2088, 3889, 267, 971, 607, 585, 3236, 16809, 543, 596, 949, 5092, 267, 543, 713, 267, 2059, 609, 1200, 267, 22010, 606, 1367, 779, 10409, 2883, 1489, 563, 1103, 519, 2796, 540, 18280, 8205, 267, 606, 13166, 1617, 13308, 1858, 267, 19366, 5095, 1058, 849, 1865, 922, 10409, 9163, 1472, 1312, 5053, 543, 596, 786, 18280, 534, 269, 1677, 4865, 11082, 540, 5053, 2389, 22736, 4025, 267, 713, 1184, 1055, 19908, 1522, 581, 6766, 676, 513, 840, 28004, 25505, 585, 5678, 267, 23344, 513, 17386, 3099, 540, 4050, 1231, 983, 5053, 269, 20553, 519, 513, 1353, 540, 10409, 8456, 543, 596, 949, 19237, 267, 570, 3402, 338, 6261, 732, 571, 543, 596, 786, 1715, 2006, 630, 1220, 280, 264, 4121, 602, 5824, 268, 26410, 1004, 25461, 1732, 2797, 4274, 547, 948, 596, 5678, 2864, 982, 18280, 534, 267, 1813, 547, 922, 1373, 2484, 811, 1644, 267, 1312, 17801, 1227, 543, 8059, 12264, 267, 1256, 1310, 5310, 711, 8159, 609, 4050, 1231, 983, 2146, 269, 1452, 8753, 7132, 15666, 547, 602, 689, 4505, 2866, 267, 971, 607, 585, 3236, 3738, 2073, 538, 799, 5824, 7819, 2818, 8612, 3648, 811, 6225, 8456, 593, 519, 5678, 982, 1175, 18280, 534, 269, 0, 26668, 18266, 338, 1411, 8550, 17451, 3231, 660, 6168, 22960, 454, 1692, 798, 596, 5581, 22960, 286, 901, 2110, 2376, 786, 2638, 856, 519, 1585, 2035, 536, 867, 1359, 13910, 267, 689, 25895, 7506, 547, 1514, 2796, 269, 634, 2474, 5071, 267, 674, 611, 267, 543, 12745, 782, 1404, 513, 2629, 1599, 538, 10747, 519, 2495, 540, 22960, 269, 4495, 596, 1174, 519, 9238, 540, 6752, 267, 596, 666, 946, 873, 547, 707, 1378, 5008, 564, 269, 1717, 1175, 875, 666, 596, 5431, 799, 3270, 2339, 585, 596, 286, 19321, 2542, 585, 930, 1271, 4388, 269, 901, 2110, 2376, 729, 2813, 609, 596, 538, 2247, 269, 898, 568, 1898, 547, 5431, 607, 1134, 607, 5660, 519, 1871, 540, 1142, 540, 891, 2093, 269, 12183, 1205, 1399, 454, 2467, 616, 1896, 6163, 540, 7802, 267, 2943, 835, 540, 519, 1034, 18476, 835, 568, 519, 15851, 2511, 269, 634, 5929, 2511, 568, 15851, 267, 607, 1134, 607, 621, 31825, 606, 2011, 540, 3318, 1143, 543, 2359, 269, 901, 1413, 568, 3617, 585, 2754, 5468, 269, 898, 5161, 540, 2241, 3109, 543, 3043, 7802, 609, 513, 5929, 3337, 267, 971, 607, 4571, 328, 1236, 16630, 267, 8546, 1236, 16630, 267, 607, 1134, 607, 2786, 27890, 269, 634, 2413, 6377, 15851, 1374, 568, 13974, 10427, 855, 26779, 3270, 883, 922, 28459, 269, 1280, 3236, 267, 513, 4807, 538, 713, 1374, 786, 6157, 2322, 593, 513, 737, 327, 13403, 23469, 751, 324, 25099, 267, 513, 8642, 512, 6879, 7398, 267, 513, 1804, 12966, 267, 607, 1134, 607, 2653, 14446, 269, 3045, 1205, 1399, 1107, 28957, 454, 2304, 3606, 2511, 540, 2511, 568, 1572, 519, 1148, 1910, 2511, 269, 901, 2511, 568, 1585, 689, 6671, 8888, 607, 1134, 607, 568, 3335, 4857, 676, 2178, 4778, 267, 27105, 16493, 267, 543, 849, 16613, 3029, 269, 898, 779, 11338, 4749, 1688, 13402, 543, 5059, 1472, 5876, 269, 1411, 3580, 1294, 12372, 543, 849, 19511, 2043, 1210, 713, 2186, 540, 23157, 269, 1411, 3580, 2693, 12398, 621, 9157, 547, 3713, 891, 2043, 538, 707, 4948, 1272, 267, 2705, 621, 779, 1034, 9090, 4502, 12394, 269, 12989, 616, 930, 8320, 540, 1142, 1374, 281, 8709, 612, 320, 1205, 1399, 1920, 3529, 454, 7628, 519, 2022, 11897, 12009, 8653, 267, 519, 8561, 593, 6752, 12012, 689, 513, 2790, 21169, 547, 513, 25349, 835, 269, 29464, 2349, 10179, 10924, 602, 5561, 941, 519, 6117, 2604, 585, 14842, 543, 602, 9367, 685, 1599, 729, 547, 5581, 7104, 16919, 269, 918, 1177, 600, 3120, 267, 18562, 267, 2808, 2511, 547, 581, 606, 1271, 8102, 656, 538, 7082, 2623, 269, 1261, 1064, 1243, 602, 5561, 685, 4664, 607, 1134, 607, 8823, 1106, 519, 2623, 540, 513, 6216, 2012, 269, 19452, 267, 519, 1514, 2796, 540, 6752, 814, 9450 ]

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

[ 1762, 1004, 949, 711, 2995, 741, 3237, 827, 875, 789, 616, 4743, 269, 1358, 949, 711, 581, 3222, 540, 741, 1378, 14920, 5310, 267, 543, 267, 952, 789, 616, 267, 789, 949, 581, 2348, 7965, 538, 4947, 547, 2474, 609, 621, 269, 2368, 949, 711, 2995, 741, 3237, 585, 4250, 540, 18349, 267, 1247, 1866, 949, 1745, 267, 543, 1256, 4126, 602, 968, 527, 568, 1175, 513, 5123, 5608, 610, 968, 527, 786, 1780, 5608, 543, 4061, 602, 972, 568, 1100, 991, 547, 2995, 4896, 563, 5278, 1453, 949, 1745, 29405, 539, 543, 13347, 952, 596, 6318, 519, 19583, 602, 789, 616, 10349, 269, 10088, 2286, 519, 1641, 18549, 949, 581, 513, 1434, 1259, 547, 1376, 269, 1411, 1223, 2253, 676, 6158, 547, 707, 1126, 827, 3023, 543, 3347, 269, 1411, 1223, 3746, 1047, 602, 596, 1616, 873, 547, 581, 6126, 543, 5150, 543, 602, 596, 786, 2141, 1489, 873, 1100, 2339, 1018, 1272, 3664, 789, 1118, 563, 2252, 596, 666, 1397, 602, 596, 616, 17159, 827, 6158, 827, 14920, 267, 543, 602, 596, 723, 782, 519, 2556, 5013, 267, 1287, 707, 1126, 949, 581, 811, 2693, 547, 2911, 547, 596, 827, 875, 789, 616, 4743, 269, 0, 763, 14206, 543, 8938, 23867, 5553, 723, 5189, 513, 581, 32612, 1359, 5044, 540, 1007, 2326, 267, 1031, 547, 1374, 513, 3376, 2039, 540, 3615, 1631, 6394, 538, 15882, 267, 8021, 267, 543, 21517, 269, 3509, 13742, 941, 2966, 547, 2063, 585, 5553, 267, 1247, 1866, 267, 1498, 2899, 5499, 267, 1397, 4191, 540, 21324, 269, 27413, 1689, 543, 28201, 267, 3889, 6336, 741, 8699, 538, 796, 656, 4602, 730, 2081, 267, 543, 1570, 3334, 1831, 28572, 269, 8836, 5238, 1590, 1174, 519, 1279, 3856, 11091, 2115, 540, 891, 3688, 538, 1931, 547, 3313, 3617, 14422, 585, 5726, 267, 4859, 267, 14266, 267, 12319, 267, 543, 7857, 1436, 269, 901, 1079, 6377, 10554, 786, 2263, 519, 13057, 3741, 540, 10655, 543, 12391, 585, 13742, 540, 1883, 8978, 2956, 689, 519, 2487, 2250, 269, 19893, 786, 7390, 2489, 7886, 538, 519, 6640, 543, 1287, 2824, 689, 21276, 7886, 538, 519, 12784, 563, 1607, 1982, 568, 5497, 585, 10070, 1416, 5234, 3743, 585, 25643, 267, 1225, 908, 267, 25137, 267, 543, 2895, 1516, 2413, 543, 4207, 2326, 563, 12749, 923, 547, 581, 4988, 1331, 912, 268, 15154, 827, 10655, 454, 268, 11554, 609, 2713, 5159, 281, 519, 7376, 270, 4621, 969, 1807, 2078, 454, 268, 4197, 2413, 2326, 454, 268, 11814, 532, 2326, 609, 7915, 13030, 454, 268, 3955, 31147, 10070, 689, 519, 2487, 2250, 454, 268, 13751, 543, 10677, 2152, 454, 268, 11814, 532, 519, 11786, 454, 268, 7316, 798, 649, 979, 689, 1934, 888, 28899, 7616, 585, 713, 1982, 729, 1252, 3585, 3177, 676, 519, 2817, 7736, 578, 618, 585, 519, 28299, 267, 609, 3606, 7616, 689, 634, 623, 1168, 4077, 3386, 11565, 338, 267, 519, 12425, 7027, 593, 519, 8551, 267, 634, 15740, 8836, 8750, 267, 543, 519, 14412, 7690, 269, 0, 291, 600, 720, 538, 13243, 779, 6196, 4975, 1739, 513, 5147, 476, 1556, 267, 476, 4572, 278, 267, 13091, 269, 2290, 540, 519, 1101, 16767, 593, 519, 16458, 7256, 674, 5435, 547, 581, 6592, 676, 2413, 17688, 4919, 2553, 267, 621, 6603, 476, 277, 269, 273, 593, 519, 6762, 614, 4336, 269, 634, 12473, 10938, 729, 538, 519, 7187, 851, 540, 519, 16458, 7256, 269, 17421, 5491, 281, 1977, 2051, 3415, 23392, 267, 1977, 2051, 3415, 14635, 563, 763, 1655, 17688, 5505, 538, 519, 1158, 1810, 1406, 917, 950, 519, 1985, 2462, 13091, 786, 5734, 269, 1809, 513, 20052, 2997, 643, 2160, 2520, 6048, 5267, 602, 13091, 3270, 6592, 538, 3140, 6054, 540, 5664, 8109, 2477, 5815, 602, 519, 3148, 779, 1985, 1713, 844, 820, 568, 1279, 936, 16746, 563, 288, 2101, 844, 820, 540, 9588, 5722, 593, 519, 6762, 614, 4336, 538, 519, 20833, 1922, 4048, 850, 3148, 540, 519, 5664, 5101, 1223, 723, 25680, 4539, 585, 10475, 13411, 4609, 543, 1256, 1158, 4708, 267, 3081, 20052, 2997, 643, 2160, 2520, 6048, 3220, 269, 1744, 332, 592, 1731, 3057, 1723, 269, 769, 1769, 540, 713, 31873, 8594, 267, 3057, 1723, 267, 689, 519, 1153, 779, 4972, 540, 2983, 2684, 12695, 543, 4643, 8767, 7070, 267, 814, 3144, 606, 3140, 1935, 547, 13091, 20925, 676, 1210, 3504, 5638, 689, 519, 28912, 543, 824, 3909, 2959, 538, 1010, 4879, 269, 634, 2250, 6585, 519, 1883, 547, 519, 2104, 267, 646, 3081, 563, 2108, 5472, 540, 721, 538, 519, 3148, 1058, 581, 14126, 2223, 6941, 3057, 1723, 267, 945, 4142, 545, 919, 1010, 4876, 547, 2650, 1424, 1927, 3504, 10881, 563, 17780, 593, 519, 16627, 540, 7366, 540, 6054, 4534, 930, 540, 519, 5169, 1023, 540, 799, 646, 17648, 21078, 538, 28912, 29256, 338, 4534, 3057, 1723, 814, 5280, 3313, 602, 513, 3126, 540, 14042, 16767, 723, 5734, 519, 10513, 8092, 936, 519, 2063, 1079, 8536, 1296, 269, 634, 2101, 3283, 941, 6592, 2059, 519, 16888, 9503, 538, 519, 1296, 476, 4029, 645, 5861, 9950, 1421, 476, 3607, 274, 595, 9950, 1421, 476, 278, 5392, 595, 9950, 1421, 543, 476, 9818, 274, 595, 9950, 269, 968, 3383, 10199, 2223, 29808, 3057, 1723, 267, 968, 933, 616, 6158, 827, 606, 8884, 540, 1169, 476, 6110, 1296, 269, 1403, 649, 1246, 519, 3270, 540, 2470, 267, 513, 2101, 844, 820, 1058, 581, 4397, 1022, 942, 1317, 3592, 513, 2898, 26992, 814, 5293, 2094, 519, 2063, 2178, 13091, 540, 476, 9818, 274, 3034, 24309, 676, 26112, 543, 23464, 267, 519, 6054, 267, 799, 12732, 827, 1079, 1984, 29646, 267, 666, 948, 3313, 519, 4087, 543, 1764, 540, 2104, 844, 1389, 593, 1896, 13337, 14742, 5969, 998, 5840, 543, 922, 15231, 2477, 267, 3057, 1723, 11099, 269, 968, 2171, 946, 519, 5638, 267, 2854, 538, 13039, 543, 20708, 625, 610, 676, 1200, 332, 1080, 538, 519, 9390, 267, 547, 1265, 3270, 2223, 646, 3081, 269, 3057, 1723, 17099, 519, 948, 540, 606, 3486, 2319, 540, 12206, 267, 945, 723, 1232, 760, 22363, 519, 5824, 267, 5259, 267, 543, 12428, 540, 519, 3312, 19359, 563, 3891, 5170, 267, 968, 10214, 952, 891, 4574, 941, 711, 2048, 334, 1553, 6053, 685, 10916, 1686, 267, 789, 3180, 513, 2603, 540, 1344, 269, 3267, 2368, 616, 5022, 547, 2342, 6998, 585, 7616, 540, 5939, 18203, 269, 1656, 1247, 1082, 540, 891, 6589, 616, 5143, 538, 606, 2895, 24191, 3909, 6073, 267, 789, 948, 721, 6166, 519, 7389, 543, 4087, 540, 2101, 1608, 600, 885, 269, 11374, 891, 3270, 538, 519, 2250, 666, 581, 513, 1434, 27667, 540, 519, 2104, 3034, 3080, 540, 519, 1034, 11855, 4168, 5312, 6840, 538, 1686, 2390, 7247, 3057, 1723, 13279, 930, 540, 1010, 8753, 568, 513, 27630, 10601, 20850, 18211, 7095, 31494, 3957, 634, 2684, 6951, 267, 9006, 23306, 2221, 676, 23597, 269, 769, 835, 12377, 267, 634, 2684, 6951, 5206, 267, 968, 288, 1390, 13091, 538, 21157, 267, 676, 519, 16888, 543, 538, 782, 540, 16850, 593, 476, 1240, 5130, 538, 519, 476, 275, 628, 5662, 269, 7089, 1652, 1617, 6421, 829, 1639, 267, 13039, 543, 20708, 625, 25540, 2523, 538, 519, 9390, 540, 519, 10513, 4975, 3034, 4407, 4168, 2959, 5280, 3057, 1723, 6166, 3504, 15166, 1886, 1127, 543, 5641, 1769, 593, 2104, 3283, 267, 6014, 2959, 689, 519, 6426, 849, 5795, 1864, 1507, 4773, 540, 519, 11015, 269, 589, 14235, 538, 2098, 778, 7559, 327, 630, 2419, 269, 476, 1691, 264, 6257, 1079, 8320, 540, 16767, 267, 835, 540, 799, 8237, 6306, 519, 6778, 540, 9986, 1161, 267, 646, 3081, 269, 7332, 23464, 723, 849, 6394, 3504, 19359, 267, 799, 2417, 3376, 839, 519, 4605, 563, 892, 24618, 638, 1389, 616, 513, 23314, 540, 4514, 3157, 3330, 519, 3618, 2223, 3057, 1723, 3081, 269, 968, 7069, 2055, 543, 2079, 4983, 875, 1419, 789, 2049, 543, 2436, 972, 568, 4806, 547, 873, 267, 9389, 958, 610, 22883, 6053, 269, 594, 993, 3168, 585, 3270, 543, 594, 666, 2161, 602, 1759, 593, 3504, 5638, 267, 519, 4806, 538, 5840, 1472, 519, 16458, 7256, 3148, 568, 519, 1034, 23892, 547, 721, 563, 2108, 2691, 621, 16716, 543, 621, 786, 713, 844, 820, 786, 1860, 2549, 2006, 267, 16888, 607, 1134, 607, 10548, 718, 1695, 267, 21861, 548, 1335, 267, 543, 13243, 269, 32495, 1389, 1810, 1406, 1416, 827, 4984, 610, 2797, 6302, 2223, 3057, 1723, 20147, 563, 24730, 670, 6064, 320, 1923, 31823, 2336, 10932, 24259, 1007, 1769, 593, 4229, 602, 21279, 6213, 5032, 6050, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 18518, 2160, 454, 22498, 12034, 519, 1439, 540, 608, 6874, 7211, 20676, 821, 476, 6349, 310, 454, 2641, 269, 6860, 269, 1001, 278, 1923, 8331, 27798, 15957, 731, 6611, 22947, 4741, 454, 5415, 543, 811, 18914, 3549, 616, 2519, 593, 1560, 2694, 1500, 540, 3327, 6775, 18674, 15229, 630, 20003, 14641, 1040, 1717, 267, 5663, 543, 7816, 3790, 1590, 581, 2417, 4389, 538, 1931, 547, 1118, 18435, 14641, 811, 22237, 538, 946, 269, 8625, 609, 519, 5292, 802, 342, 10402, 17985, 543, 2947, 824, 4891, 538, 519, 1788, 4591, 20075, 1805, 476, 274, 291, 267, 519, 21558, 2098, 550, 5300, 30567, 1478, 552, 17679, 269, 630, 299, 313, 295, 264, 814, 2919, 8955, 3157, 585, 519, 13128, 16013, 2719, 267, 17656, 543, 7816, 540, 1614, 8820, 3334, 563, 8505, 558, 730, 5663, 3157, 616, 519, 4493, 585, 6038, 9591, 519, 3126, 2504, 540, 18435, 14641, 3334, 269, 769, 519, 1788, 4591, 20075, 1805, 476, 274, 291, 267, 519, 700, 313, 295, 814, 2483, 8269, 22162, 519, 2497, 540, 29322, 1336, 538, 2470, 543, 519, 3504, 1158, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 723, 24704, 6094, 3327, 31407, 4209, 630, 290, 18199, 264, 20955, 602, 8858, 1312, 1164, 5122, 19428, 543, 513, 1377, 540, 32297, 602, 568, 827, 15823, 2053, 2362, 982, 7601, 8874, 267, 4867, 1031, 538, 11418, 563, 10454, 7293, 7347, 1145, 540, 6094, 4496, 8874, 814, 1713, 2956, 585, 519, 6325, 5106, 540, 5100, 2960, 543, 8465, 11418, 1519, 2483, 763, 7404, 267, 9649, 5925, 14925, 631, 9262, 14747, 513, 2706, 21346, 633, 3109, 8559, 630, 289, 295, 264, 543, 568, 1134, 8153, 585, 922, 6505, 15191, 2531, 3215, 519, 8552, 936, 4557, 9753, 540, 9588, 538, 4908, 269, 9603, 547, 922, 16133, 267, 15191, 23146, 267, 543, 519, 1804, 3109, 8559, 2527, 267, 631, 9262, 568, 519, 1655, 8047, 585, 14236, 519, 5250, 267, 10231, 267, 543, 2458, 11582, 540, 8887, 643, 2065, 32062, 269, 589, 1382, 2319, 3366, 676, 8125, 651, 2826, 7999, 689, 519, 7665, 23851, 4659, 585, 15571, 18395, 538, 12844, 333, 267, 5125, 267, 814, 1336, 2178, 16315, 585, 24360, 3157, 8220, 519, 934, 4958, 542, 12210, 543, 519, 15191, 540, 602, 14925, 3246, 4030, 883, 519, 32618, 1966, 540, 519, 5169, 540, 28936, 9713, 32062, 563, 21841, 21346, 633, 3109, 9475, 1106, 930, 540, 519, 1034, 28430, 9259, 538, 28936, 12695, 269, 4256, 11999, 1648, 3977, 568, 9277, 547, 581, 6383, 676, 519, 2483, 763, 5506, 547, 1265, 513, 1978, 1297, 540, 22726, 3330, 513, 8955, 13942, 2356, 14687, 547, 513, 8106, 3892, 540, 4830, 2621, 267, 519, 865, 10777, 2483, 31466, 1886, 549, 25600, 1759, 593, 11046, 1227, 6094, 2326, 3180, 519, 9153, 540, 519, 4720, 540, 2757, 21932, 607, 1134, 607, 1007, 3156, 538, 519, 2361, 540, 8465, 11418, 269, 3767, 267, 513, 570, 308, 654, 1329, 1382, 2319, 3366, 676, 7338, 28228, 28705, 814, 1500, 513, 14634, 538, 713, 2361, 607, 851, 540, 606, 5571, 1382, 1788, 563, 10521, 8820, 2326, 267, 610, 476, 273, 291, 2326, 585, 2110, 267, 616, 5393, 11684, 267, 4352, 1107, 610, 1419, 811, 10502, 1317, 1107, 789, 616, 1500, 909, 540, 1175, 835, 610, 513, 2483, 736, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 1240, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 6734, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 10049, 7070, 454, 2190, 269, 6860, 269, 1001, 278, 1923, 5020, 7070 ]

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

[ 476, 14093, 602, 8637, 519, 5691, 1899, 11090, 267, 519, 1985, 1305, 540, 21276, 5528, 9783, 676, 519, 556, 4650, 17280, 476, 3953, 4607, 267, 17990, 269, 1403, 519, 3977, 1852, 1770, 476, 3445, 288, 25849, 532, 513, 3965, 1899, 547, 519, 1305, 540, 5528, 9783, 693, 519, 1482, 942, 3587, 602, 693, 519, 3965, 4087, 476, 14093, 10710, 5691, 1899, 11090, 1213, 7757, 269, 1403, 6044, 3515, 616, 6569, 1813, 547, 7936, 3765, 335, 1042, 2109, 267, 519, 5691, 1899, 11090, 666, 581, 19268, 547, 519, 5691, 1899, 11090, 602, 5205, 519, 5691, 1899, 11090, 8655, 547, 519, 3765, 335, 9438, 539, 7936, 6044, 269, 634, 5691, 1899, 11090, 568, 519, 11090, 602, 4422, 547, 519, 30063, 10473, 476, 2420, 2073, 519, 4452, 1315, 4558, 1770, 476, 2918, 543, 824, 2694, 540, 519, 31110, 19485, 476, 1015, 799, 4309, 519, 556, 4650, 17280, 16776, 563, 763, 835, 547, 581, 4330, 1631, 476, 277, 2982, 513, 6041, 540, 519, 4276, 540, 1267, 21772, 476, 4343, 543, 700, 306, 1267, 21772, 476, 5780, 609, 606, 1383, 540, 513, 3965, 1899, 476, 10441, 288, 2073, 634, 1267, 1668, 568, 3254, 476, 4343, 288, 689, 519, 6198, 2359, 476, 2190, 288, 2073, 519, 1267, 1668, 476, 4343, 289, 689, 519, 6198, 2359, 476, 2190, 289, 2073, 543, 519, 1267, 1668, 476, 4343, 290, 689, 519, 6198, 2359, 476, 2190, 290, 2073, 5221, 519, 31110, 19485, 476, 1015, 6378, 3977, 7158, 616, 1031, 543, 972, 568, 606, 6044, 2361, 476, 8099, 910, 476, 14625, 14687, 547, 513, 1978, 3977, 2990, 267, 1142, 1267, 1668, 476, 4343, 609, 513, 1808, 6044, 2361, 476, 8099, 910, 476, 14625, 4448, 538, 1142, 3965, 1899, 269, 769, 824, 1913, 267, 2164, 616, 593, 519, 1267, 1668, 476, 4343, 288, 616, 10299, 538, 519, 1101, 6044, 2361, 476, 8099, 10710, 282, 11778, 593, 519, 2164, 1668, 476, 4343, 289, 616, 10299, 538, 519, 2034, 6044, 2361, 476, 12208, 10710, 282, 543, 2164, 593, 519, 1267, 1668, 476, 4343, 290, 616, 10299, 538, 519, 3791, 6044, 2361, 476, 14625, 10710, 563, 277, 2982, 602, 519, 6198, 4559, 476, 2190, 1152, 835, 1899, 11090, 593, 519, 1267, 21772, 476, 4343, 547, 519, 556, 4650, 17280, 476, 3953, 991, 547, 10141, 269, 634, 15558, 1369, 519, 1899, 630, 773, 519, 1880, 6044, 538, 519, 6044, 1899, 264, 568, 7915, 538, 519, 1668, 593, 799, 519, 1267, 21128, 269, 634, 1267, 1852, 1668, 476, 9834, 3096, 519, 1899, 11090, 547, 2697, 519, 3965, 1899, 547, 581, 8242, 543, 519, 6044, 2361, 593, 519, 1899, 568, 8850, 8655, 607, 519, 1152, 6044, 2361, 547, 799, 519, 1880, 1267, 1668, 786, 581, 9619, 476, 4343, 288, 910, 4343, 290, 666, 3977, 513, 1871, 563, 2005, 1058, 581, 7074, 602, 676, 8848, 1005, 519, 31110, 19485, 476, 1015, 609, 1896, 6378, 267, 27101, 3977, 7158, 540, 519, 31110, 19485, 476, 1015, 568, 2111, 547, 3390, 3677, 2338, 540, 5528, 8195, 982, 31110, 25600, 602, 723, 12623, 20470, 3390, 7158, 543, 1899, 15129, 556, 4650, 10889, 619, 269, 5221, 519, 21136, 3390, 7158, 14892, 519, 1482, 15410, 540, 5528, 267, 1022, 1895, 540, 5528, 1369, 519, 15410, 666, 581, 9783, 547, 543, 13401, 676, 519, 21136, 3390, 7158, 693, 519, 1482, 942, 269, 17957, 267, 12623, 13240, 3390, 7158, 616, 3908, 547, 1978, 2516, 540, 5528, 1369, 519, 15410, 602, 616, 13401, 676, 519, 12623, 13240, 3390, 7158, 607, 513, 2898, 269, 1280, 1383, 267, 952, 2789, 5528, 666, 581, 5697, 585, 21800, 3977, 267, 855, 1152, 835, 540, 519, 12623, 20470, 3977, 7158, 568, 27358, 547, 14892, 519, 2789, 5528, 267, 1287, 3335, 1152, 835, 540, 519, 2789, 5528, 666, 581, 3977, 693, 835, 942, 269, 4634, 952, 519, 3390, 2990, 568, 27358, 547, 4309, 2789, 9783, 5528, 693, 519, 1482, 942, 267, 519, 3390, 2990, 666, 1152, 14892, 835, 540, 519, 5528, 693, 513, 942, 269, 1924, 789, 960, 538, 519, 31110, 19485, 476, 1015, 27358, 6378, 267, 27101, 3977, 7158, 538, 4276, 609, 519, 3965, 3515, 538, 519, 556, 867, 1359, 17280, 476, 3953, 547, 5512, 1164, 6044, 3390, 543, 11056, 3928, 563, 763, 12123, 1315, 4859, 1770, 476, 2918, 593, 519, 824, 1688, 267, 1281, 711, 5330, 547, 513, 1808, 6378, 3977, 2990, 269, 634, 12123, 1315, 4859, 1770, 476, 2918, 4061, 3947, 513, 1899, 11090, 543, 606, 15558, 11090, 593, 519, 700, 306, 1267, 21772, 476, 5780, 856, 269, 634, 700, 306, 1267, 21772, 476, 5780, 616, 4448, 547, 1142, 2361, 540, 3965, 3515, 267, 865, 602, 2164, 689, 519, 4452, 1315, 4558, 1770, 476, 2918, 666, 581, 9447, 267, 9337, 1142, 6044, 2361, 269, 634, 1880, 6044, 2361, 602, 568, 8242, 676, 513, 1880, 1267, 568, 4857, 676, 519, 15558, 11090, 10299, 609, 621, 563, 763, 835, 547, 581, 4330, 1631, 476, 278, 7612, 476, 274, 2982, 513, 3625, 6516, 540, 513, 6712, 540, 21341, 2638, 7954, 1031, 676, 835, 20032, 540, 519, 556, 4650, 17280, 476, 3953, 568, 1031, 269, 898, 568, 519, 1101, 6044, 2361, 476, 8099, 689, 513, 4859, 1899, 476, 10441, 288, 607, 1134, 607, 513, 4086, 1807, 476, 6344, 288, 543, 513, 5734, 7954, 3625, 476, 14338, 3254, 269, 634, 4086, 1807, 476, 6344, 288, 11392, 519, 3077, 1766, 663, 8446, 689, 519, 6044, 2361, 476, 8099, 2073, 543, 519, 2063, 2987, 1532, 4428, 518, 630, 299, 29368, 264, 20726, 269, 634, 4086, 1807, 849, 11392, 476, 6344, 288, 513, 2707, 1766, 663, 32165, 689, 519, 1766, 663, 7662, 1668, 476, 2004, 630, 528, 689, 519, 6044, 4558, 476, 10844, 952, 513, 7936, 3765, 335, 1042, 2109, 6051, 568, 4867, 1373, 5340, 1040, 634, 4086, 1807, 476, 6344, 814, 606, 3977, 1899, 476, 14862, 288, 593, 602, 609, 519, 5734, 7954, 3625, 476, 14338, 4448, 568, 269, 634, 3977, 1899, 476, 14862, 288, 568, 15181, 952, 519, 3077, 1766, 663, 8446, 543, 519, 2707, 1766, 663, 8446, 616, 1336, 547, 581, 519, 1482, 538, 519, 6476, 543, 519, 22244, 289, 4063, 568, 1305, 269, 1403, 519, 1766, 663, 1541, 5874, 616, 711, 1336, 547, 581, 519, 1482, 538, 519, 6476, 610, 519, 22244, 289, 4063, 568, 711, 1305, 267, 519, 3977, 1899, 3587, 476, 14862, 288, 16981, 563, 763, 5734, 7954, 3625, 476, 14338, 11392, 519, 3977, 1899, 476, 14862, 288, 630, 7945, 607, 519, 3977, 3515, 476, 14862, 289, 1547, 476, 14862, 290, 543, 476, 14862, 291, 2687, 547, 476, 278, 2073, 3092, 12175, 2201, 519, 851, 540, 519, 5734, 7954, 3625, 476, 14338, 4607, 3977, 3515, 476, 14862, 2097, 689, 4086, 2209, 476, 6344, 799, 4309, 519, 1482, 2707, 1766, 663, 8446, 689, 519, 1766, 663, 7662, 1668, 269, 5221, 519, 22244, 289, 13525, 538, 519, 4086, 2209, 476, 6344, 568, 3769, 267, 1152, 4642, 610, 835, 540, 519, 3977, 3515, 476, 14862, 9783, 585, 513, 1808, 21341, 2638, 269, 634, 5734, 7954, 476, 14338, 666, 3976, 519, 556, 4650, 17280, 11090, 7222, 547, 519, 835, 15181, 3977, 1899, 476, 14862, 2824, 585, 6771, 607, 1766, 663, 11090, 269, 26875, 1436, 7954, 538, 519, 5734, 7954, 568, 711, 2838, 476, 14338, 547, 581, 3769, 269, 1280, 1383, 267, 519, 5734, 7954, 476, 14338, 3927, 723, 513, 2789, 343, 518, 602, 814, 556, 867, 1359, 17280, 16776, 607, 3403, 6786, 543, 3977, 3515, 476, 14862, 982, 3866, 8060, 563, 763, 5734, 7954, 3625, 476, 14338, 666, 10123, 581, 27358, 971, 602, 621, 759, 1115, 519, 22244, 289, 20726, 585, 606, 6044, 267, 952, 519, 2707, 1766, 663, 585, 799, 519, 5734, 7954, 3625, 476, 14338, 2488, 519, 21341, 1344, 267, 568, 849, 519, 3077, 1766, 663, 269, 1280, 1383, 267, 952, 519, 5734, 1899, 476, 14862, 288, 568, 15181, 543, 519, 4086, 1807, 476, 6344, 288, 11392, 513, 2707, 1315, 3077, 1766, 663, 267, 31591, 519, 5734, 7954, 476, 14338, 513, 19268, 22244, 289, 1899, 476, 14695, 288, 547, 519, 6044, 2361, 476, 8099, 2073, 16952, 22244, 289, 3515, 476, 14695, 519, 824, 4086, 2209, 666, 581, 10299, 9935, 547, 824, 6044, 4610, 476, 6344, 5330, 269, 898, 1058, 581, 7074, 602, 519, 4086, 1807, 3977, 6786, 476, 14862, 1763, 23293, 22244, 289, 3515, 476, 14695, 2094, 1152, 519, 6044, 585, 799, 519, 22244, 289, 5469, 568, 1305, 568, 1767, 547, 581, 1336, 547, 581, 519, 1482, 538, 6476, 563, 2005, 1058, 849, 581, 7074, 602, 538, 12589, 9323, 2676, 3602, 519, 1535, 10436, 31110, 19485, 6189, 568, 1031, 267, 1932, 454, 1492, 1766, 663, 2450, 1344, 454, 332, 755, 1831, 269, 634, 1826, 540, 21341, 454, 16216, 3052, 269, 10155, 539, 519, 1482, 267, 2484, 1932, 7522, 267, 610, 7522, 1932, 2647, 264, 568, 849, 454, 323, 17827, 607, 4330, 1657, 563, 763, 835, 547, 581, 4330, 1631, 476, 279, 628, 2982, 513, 1592, 540, 476, 9873, 1806, 540, 1344, 538, 606, 6044, 2361, 476, 13647, 268, 14625, 2687, 547, 513, 1808, 6388, 540, 519, 556, 4650, 17280, 476, 3953, 568, 10710, 269, 3245, 824, 12589, 9323, 267, 3606, 267, 4244, 610, 4244, 1344, 666, 581, 6740, 269, 6176, 547, 799, 3787, 8193, 568, 3773, 568, 3818, 19229, 1344, 269, 19227, 513, 2582, 3787, 568, 1031, 563, 763, 6044, 1267, 568, 6740, 538, 519, 6044, 2361, 267, 543, 519, 1267, 4570, 512, 580, 3787, 6920, 2436, 519, 6044, 1267, 814, 1044, 9447, 610, 711, 269, 5015, 267, 782, 9206, 11353, 602, 616, 8242, 616, 6740, 538, 519, 6044, 2361, 269, 634, 24072, 568, 1305, 952, 519, 6044, 568, 513, 7936, 269, 634, 700, 306, 318, 26239, 322, 3787, 568, 1305, 952, 4452, 1315, 4558, 759, 2106, 11388, 1436, 568, 2838, 269, 589, 4452, 15222, 1436, 949, 2154, 759, 2106, 11388, 1436, 630, 328, 4318, 1421, 11291, 532, 543, 556, 7721, 1815, 5024, 519, 6044, 543, 7766, 5528, 538, 1982, 1931, 264, 952, 519, 4452, 6044, 568, 5340, 856, 540, 1931, 543, 513, 2879, 17274, 5734, 568, 9571, 693, 519, 2232, 547, 799, 519, 4452, 6044, 568, 1569, 525, 1354, 11198, 532, 519, 15205, 6044, 269, 15350, 5528, 602, 9337, 519, 6044, 3009, 8659, 538, 519, 31110, 19485, 476, 1015, 533, 2056, 616, 849, 9571, 267, 799, 3123, 519, 700, 306, 318, 26239, 322, 3787, 547, 581, 1305, 269, 27491, 602, 1246, 519, 4558, 6044, 585, 799, 519, 3787, 568, 1305, 616, 27366, 543, 556, 7721, 1815, 3176, 269, 634, 590, 289, 313, 3787, 267, 950, 1305, 267, 6920, 602, 519, 7222, 6044, 568, 17146, 676, 4642, 269, 2290, 269, 20023, 6521, 568, 513, 3989, 9868, 585, 1535, 10436, 5528, 269, 1401, 4003, 543, 2736, 4812, 1344, 7222, 547, 519, 6044, 568, 849, 10710, 563, 2026, 2907, 5018, 267, 2063, 2987, 11060, 454, 27331, 6579, 264, 543, 2063, 2987, 1532, 4428, 518, 630, 299, 29368, 264, 1344, 6740, 585, 1142, 6044, 563, 763, 700, 6579, 543, 22244, 289, 1344, 14687, 547, 519, 3077, 11578, 267, 1247, 18919, 6579, 543, 454, 14566, 29368, 5330, 547, 519, 9206, 11578, 269, 9050, 22244, 289, 11353, 616, 1031, 454, 26421, 3296, 540, 519, 10278, 11578, 1373, 4553, 676, 606, 6044, 454, 1729, 1205, 20366, 454, 4754, 5330, 547, 835, 3787, 269, 634, 835, 547, 946, 538, 519, 21341, 6476, 454, 299, 29368, 3787, 666, 6474, 519, 2450, 540, 519, 2707, 1766, 663, 454, 7474, 568, 1373, 3379, 269, 769, 713, 1259, 621, 5540, 835, 454, 10000, 11845, 267, 552, 3052, 269, 645, 269, 568, 1500, 547, 519, 4888, 11578, 267, 711, 454, 17739, 547, 519, 9338, 11578, 269, 9050, 18919, 29368, 11353, 616, 849, 1031, 454, 7474, 519, 2185, 18919, 29368, 11353, 5330, 547, 2185, 2516, 540, 17514, 269, 589, 454, 14140, 1895, 3568, 454, 1492, 590, 19985, 2098, 19985, 623, 268, 543, 589, 268, 1080, 282, 513, 2034, 1895, 568, 519, 744, 3787, 282, 513, 454, 628, 2273, 1895, 568, 519, 667, 3787, 282, 543, 513, 8772, 1895, 568, 519, 595, 3787, 269, 5381, 547, 454, 1492, 18919, 29368, 11353, 5330, 547, 519, 18919, 6579, 11353, 540, 1142, 540, 2185, 2516, 540, 454, 14503, 4711, 269, 634, 2516, 616, 6074, 1759, 593, 519, 1826, 538, 454, 6518, 5036, 519, 1535, 10436, 6044, 10311, 585, 519, 17514, 563, 763, 700, 6579, 11353, 616, 1572, 1437, 725, 454, 4310, 547, 9337, 519, 11578, 3758, 1547, 1789, 269, 1924, 4283, 454, 299, 6579, 3787, 6920, 602, 519, 1034, 1713, 1079, 25466, 540, 519, 10278, 11578, 454, 2041, 8242, 676, 519, 6044, 602, 713, 6044, 2361, 454, 14585, 4046, 4637, 282, 513, 2034, 700, 6579, 3787, 6920, 602, 31632, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 972, 729, 513, 5458, 2706, 21466, 3957, 623, 878, 601, 578, 269, 5272, 7853, 6068, 2469, 547, 623, 878, 601, 578, 1317, 621, 1185, 865, 1082, 8748, 1919, 256, 3502, 1152, 1705, 621, 6133, 8949, 5613, 267, 5388, 267, 543, 26345, 13000, 267, 855, 621, 849, 6035, 1153, 7727, 543, 9660, 269, 1403, 1945, 729, 2877, 267, 623, 878, 601, 578, 1034, 2693, 4421, 621, 780, 3080, 13566, 12784, 267, 1079, 2828, 910, 21667, 543, 7665, 910, 4682, 547, 623, 878, 601, 578, 1310, 1153, 547, 4444, 1007, 31940, 269, 2755, 19855, 1114, 6810, 267, 21667, 8068, 875, 1978, 3688, 941, 14949, 982, 1866, 269, 2701, 4280, 1200, 3659, 267, 834, 16655, 267, 798, 596, 917, 1946, 930, 1919, 1934, 1942, 1447, 2724, 12482, 16655, 2219, 827, 621, 5402, 1354, 1065, 2391, 267, 834, 11039, 267, 594, 4121, 538, 1153, 602, 950, 811, 540, 513, 1587, 568, 1500, 267, 1142, 6221, 3587, 14949, 2094, 9755, 3262, 856, 741, 3790, 936, 3677, 9424, 269, 901, 1523, 568, 1572, 11615, 540, 4336, 15323, 299, 1075, 344, 781, 4064, 11097, 2989, 269, 834, 32452, 256, 2334, 2306, 2631, 2437, 1352, 1767, 31113, 269, 1306, 789, 4797, 10918, 267, 12359, 773, 9289, 16965, 267, 834, 296, 6999, 649, 1223, 1451, 1256, 811, 4277, 5013, 1247, 3257, 938, 14770, 625, 15323, 9617, 1287, 267, 6004, 269, 9652, 267, 945, 5249, 693, 623, 878, 601, 578, 267, 15336, 909, 547, 873, 8876, 513, 4216, 2407, 540, 13212, 269, 1261, 20493, 27145, 543, 3838, 513, 4241, 4062, 540, 31851, 267, 834, 12441, 596, 917, 891, 13212, 14612, 3833, 2484, 547, 3914, 721, 286, 2561, 956, 1810, 1405, 1332, 1134, 1472, 1934, 1813, 547, 21617, 5210, 282, 2705, 267, 15911, 16374, 1450, 873, 547, 21707, 269, 18815, 5540, 14499, 1932, 1107, 2015, 4492, 543, 6765, 2053, 3238, 547, 3142, 5370, 1279, 9883, 3010, 30342, 27086, 676, 1018, 789, 4862, 267, 21667, 543, 7665, 9684, 539, 6004, 269, 9652, 585, 4687, 1010, 1702, 269, 1717, 267, 789, 7691, 972, 7012, 1405, 2614, 942, 2451, 585, 2417, 3408, 267, 6028, 513, 2312, 3992, 827, 1272, 543, 2257, 281, 3006, 1565, 4523, 30122, 267, 1818, 7279, 543, 6998, 2055, 4105, 2645, 538, 26500, 3078, 3621, 2093, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 12585, 519, 1739, 2243, 281, 9137, 281, 1703, 568, 513, 2462, 2706, 21466, 476, 2282, 1250, 1753, 269, 4706, 2012, 568, 623, 878, 601, 578, 269, 898, 814, 6266, 540, 1919, 269, 1411, 666, 4444, 1153, 1919, 267, 899, 31940, 267, 23445, 267, 17710, 267, 22796, 267, 21971, 619, 543, 15513, 10833, 269, 1411, 666, 4444, 5388, 267, 4829, 543, 782, 5686, 540, 1426, 269, 1411, 666, 849, 4444, 9660, 269, 2368, 540, 519, 1919, 972, 616, 10464, 267, 543, 24455, 666, 6488, 519, 3902, 269, 1809, 930, 540, 873, 616, 9041, 1547, 634, 2706, 21466, 568, 1930, 1169, 1554, 689, 476, 278, 281, 876, 513, 6230, 30419, 476, 279, 281, 876, 533, 6230, 269, 634, 4600, 972, 616, 1360, 1434, 269, 1358, 960, 2182, 782, 1554, 269, 1358, 616, 6126, 547, 2626, 707, 2055, 269, 1358, 948, 596, 952, 596, 1616, 547, 4444, 4376, 269, 1703, 616, 1082, 1004, 593, 32300, 269, 1358, 4444, 6266, 540, 1919, 269, 6884, 789, 723, 14254, 267, 12899, 610, 12129, 972, 269, 7726, 281, 634, 2706, 21466, 2282, 1250, 1753, 568, 476, 9041, 476, 1547, 8786, 610, 1100, 267, 568, 519, 2626, 834, 15927, 257, 888, 12585, 912, 3721, 476, 272, 281, 10576, 519, 4143, 1344, 538, 519, 2376, 1644, 547, 519, 2243, 780, 3725, 10589, 1344, 281, 834, 2467, 568, 513, 2462, 2706, 21466, 2282, 1250, 1753, 3010, 3721, 476, 273, 281, 14419, 952, 519, 2016, 2626, 9497, 15927, 8442, 13292, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 20154, 4260, 7958, 910, 634, 5020, 540, 589, 2758, 3627, 2961, 2784, 710, 692, 8702, 267, 5664, 3427, 4841, 256, 4653, 649, 786, 7832, 593, 513, 4241, 5289, 3460, 998, 519, 1272, 540, 513, 19416, 17076, 3957, 3627, 2961, 2784, 710, 269, 1411, 1522, 4898, 875, 606, 17076, 781, 1272, 1223, 4125, 513, 5289, 3460, 269, 4270, 267, 1577, 781, 4685, 883, 1620, 1018, 602, 1797, 2439, 11990, 2961, 2784, 710, 5030, 606, 9058, 1272, 6131, 547, 9117, 267, 6849, 1082, 2591, 543, 29217, 2059, 519, 1259, 269, 3414, 3695, 1010, 2833, 543, 5079, 2429, 1010, 4876, 267, 596, 786, 3605, 875, 1010, 2123, 2208, 19141, 519, 2856, 540, 513, 5289, 3460, 12544, 1184, 540, 1582, 22523, 267, 1565, 267, 543, 7004, 269, 1284, 786, 1451, 827, 1010, 2038, 9620, 267, 18454, 267, 6612, 585, 9117, 267, 543, 2189, 7418, 547, 4670, 1686, 269, 1924, 10544, 707, 1402, 25468, 543, 1205, 4712, 585, 513, 13858, 11878, 2439, 1262, 6637, 476, 272, 281, 7216, 26647, 1375, 956, 630, 763, 22073, 21143, 9617, 899, 1169, 5869, 814, 513, 4098, 267, 865, 1705, 3627, 2961, 2784, 710, 269, 1261, 5185, 3875, 9465, 1354, 4466, 21239, 543, 19539, 269, 18004, 538, 1715, 3840, 4975, 1282, 519, 10162, 2130, 3828, 550, 625, 267, 3627, 1185, 9909, 540, 4742, 606, 7376, 269, 1717, 267, 1813, 547, 1920, 7965, 267, 646, 2451, 1753, 693, 2085, 19939, 543, 3576, 1585, 6009, 1247, 13197, 1010, 7499, 18653, 269, 3571, 1650, 11414, 721, 602, 3006, 938, 10092, 949, 3100, 15458, 267, 855, 952, 649, 3251, 3020, 547, 6000, 543, 1832, 2324, 2182, 267, 1434, 1919, 786, 5555, 4755, 780, 1262, 6637, 476, 273, 281, 11773, 2311, 7831, 630, 294, 9512, 1299, 4804, 21143, 5475, 10010, 585, 1896, 1296, 267, 3627, 6368, 1336, 1010, 10912, 607, 606, 17076, 538, 4993, 269, 4438, 713, 1974, 267, 646, 4121, 1007, 1983, 267, 1558, 9565, 1004, 267, 543, 4378, 539, 1010, 4739, 896, 741, 5583, 269, 1306, 942, 5293, 267, 3627, 2968, 811, 8746, 543, 9952, 538, 4395, 540, 12514, 543, 9458, 7567, 269, 901, 5123, 9727, 602, 16177, 17188, 1055, 543, 602, 6024, 1565, 2337, 2043, 1332, 13948, 543, 24015, 780, 1262, 6637, 476, 274, 281, 32425, 622, 6168, 2920, 532, 630, 20524, 532, 20828, 21143, 9961, 1010, 1279, 543, 3811, 4876, 267, 3627, 7283, 13730, 827, 9117, 269, 4634, 1498, 646, 4769, 1405, 7118, 1454, 3379, 547, 824, 4583, 7260, 6801, 267, 646, 1726, 25979, 519, 3255, 2016, 547, 960, 7258, 13085, 19971, 543, 5830, 269, 1635, 8508, 1010, 2648, 585, 9117, 267, 3627, 6273, 1866, 1472, 1864, 543, 2813, 12300, 12644, 1869, 19644, 2221, 269, 19452, 267, 1739, 707, 2295, 543, 14637, 707, 15421, 2636, 596, 547, 1921, 7184, 609, 3054, 543, 9797, 1764, 1346, 2673, 547, 596, 780, 1262, 6637, 476, 275, 281, 9710, 2928, 22684, 630, 9558, 4146, 21143, 307, 578, 1841, 519, 1439, 540, 1010, 4876, 267, 3627, 2968, 24190, 609, 5929, 16897, 9413, 269, 1452, 5107, 941, 1114, 982, 1022, 646, 5129, 4505, 267, 13031, 1776, 4494, 540, 1010, 17545, 607, 606, 17076, 269, 6736, 1373, 1826, 4751, 538, 1978, 11964, 267, 3627, 7608, 971, 13710, 3197, 2898, 27329, 569, 543, 4797, 547, 7038, 5481, 540, 11655, 269, 6270, 4720, 14550, 602, 1689, 568, 17149, 267, 5356, 4195, 7399, 547, 9784, 1007, 9035, 543, 7753, 7687, 780, 3383, 267, 1946, 1281, 3627, 2961, 2784, 710, 781, 1272, 2099, 513, 5289, 3460, 286, 10801, 1010, 7415, 4876, 267, 3627, 4810, 3586, 2208, 267, 20408, 14488, 267, 9363, 8149, 547, 1010, 1148, 1106, 267, 543, 15268, 547, 2242, 269, 3807, 899, 3909, 610, 10952, 4978, 948, 3337, 2576, 781, 6418, 1158, 267, 3627, 781, 11428, 547, 1010, 4739, 9927, 1864, 1312, 13948, 543, 24015, 269, 898, 4847, 1864, 547, 6330, 519, 10848, 540, 1397, 1870, 1247, 4509, 8699, 543, 2463, 585, 8284, 5159, 269, 4935, 267, 4974, 3627, 2961, 2784, 710, 781, 12092, 2488, 3407, 4030, 827, 6043, 267, 8990, 267, 5876, 267, 543, 13916, 1765, 638, 8017, 1898, 585, 10188, 1272, 3294, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 296, 993, 513, 8423, 256, 1656, 519, 8423, 538, 606, 17076, 568, 1018, 2306, 1864, 4277, 269, 634, 2262, 568, 606, 29405, 1152, 950, 621, 779, 1031, 676, 606, 16080, 3187, 1107, 1851, 11051, 267, 621, 779, 513, 1360, 1164, 5360, 2939, 267, 8197, 31422, 454, 1103, 519, 1686, 540, 21576, 267, 972, 616, 6801, 602, 6633, 3043, 3905, 269, 3973, 972, 616, 1346, 945, 2842, 909, 2921, 513, 1033, 712, 1107, 2943, 789, 4076, 12236, 519, 5854, 3599, 543, 513, 18515, 547, 2263, 1256, 519, 5318, 6989, 540, 519, 5836, 779, 5377, 1107, 713, 568, 30118, 1738, 540, 513, 11537, 1381, 645, 17076, 269, 8409, 945, 8743, 548, 721, 609, 513, 1990, 7002, 585, 669, 1571, 543, 669, 698, 337, 1231, 267, 1368, 742, 9155, 543, 15046, 345, 23697, 267, 1367, 1143, 543, 538, 574, 527, 1464, 267, 9159, 543, 524, 1905, 7637, 2336, 1103, 1010, 2663, 1296, 267, 3627, 2961, 2784, 710, 1131, 2097, 547, 581, 1634, 607, 835, 540, 891, 2507, 519, 6760, 568, 2507, 646, 729, 513, 2481, 333, 2283, 1049, 17076, 2336, 14881, 2760, 1500, 2462, 2724, 538, 21035, 269, 594, 729, 6976, 538, 7366, 267, 519, 6801, 3893, 5215, 269, 1809, 594, 5249, 609, 930, 540, 519, 6574, 19971, 538, 8874, 543, 930, 540, 519, 6574, 5830, 269, 1358, 5795, 803, 519, 5191, 547, 798, 1018, 594, 666, 798, 1655, 543, 602, 729, 11815, 4328, 3034, 1103, 14621, 547, 1010, 16897, 9371, 267, 713, 568, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2869, 3770, 4260, 7958, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6490, 7546, 338, 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, 0, 17610, 3364, 256, 3371, 781, 513, 8908, 585, 519, 1016, 15492, 834, 278, 269, 273, 269, 25037, 22375, 257, 689, 938, 1837, 593, 834, 30125, 543, 7177, 540, 2473, 7304, 599, 6156, 539, 8751, 2762, 2437, 2854, 4481, 585, 1762, 3988, 1384, 14945, 1262, 278, 269, 273, 269, 25037, 22375, 281, 22628, 9540, 20212, 4373, 5331, 596, 2811, 4730, 12404, 543, 3343, 609, 707, 2828, 538, 513, 2462, 6288, 269, 634, 1268, 945, 781, 621, 814, 741, 4064, 6806, 267, 10203, 547, 4557, 267, 1247, 3025, 3116, 1085, 520, 1562, 547, 1265, 513, 15720, 5544, 269, 1879, 519, 4831, 4991, 547, 4557, 267, 789, 1930, 741, 4064, 543, 1376, 3168, 585, 741, 2828, 269, 2311, 1101, 267, 782, 789, 1294, 568, 6371, 267, 4054, 267, 543, 19209, 3937, 269, 1809, 607, 789, 1413, 6251, 267, 789, 2253, 547, 5469, 1507, 3604, 1107, 513, 21489, 23578, 856, 689, 3297, 513, 17382, 267, 513, 1688, 530, 3058, 689, 3330, 513, 15993, 13472, 267, 513, 3723, 533, 3183, 856, 689, 896, 513, 14541, 269, 1452, 1507, 3604, 948, 873, 12398, 741, 6456, 2828, 780, 1103, 1082, 2081, 267, 4466, 891, 1507, 3604, 568, 2147, 547, 1018, 7189, 798, 950, 789, 1413, 693, 2564, 2592, 3144, 1210, 17223, 29821, 630, 6311, 1040, 589, 11632, 11571, 3096, 2473, 17530, 547 ]

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

[ 513, 3209, 2854, 676, 12275, 857, 30954, 22222, 632, 3933, 2145, 17383, 630, 13970, 271, 268, 5611, 276, 1070, 3370, 538, 5147, 267, 476, 14681, 271, 269, 1133, 2041, 4385, 560, 547, 1034, 1004, 267, 519, 1533, 540, 4993, 729, 3957, 1310, 2836, 2378, 807, 267, 513, 14070, 4563, 15596, 945, 12199, 936, 513, 7242, 545, 782, 1922, 24580, 630, 704, 4257, 24139, 264, 6532, 540, 4563, 2021, 1175, 1055, 519, 5032, 540, 5607, 269, 2701, 1031, 606, 7952, 540, 10760, 1989, 858, 1231, 547, 4339, 10271, 693, 31862, 543, 814, 1831, 606, 4277, 2943, 2370, 1634, 5339, 4137, 269, 769, 476, 14631, 271, 267, 950, 5053, 9518, 626, 11456, 670, 9007, 23634, 525, 8452, 593, 1018, 568, 1631, 1634, 607, 645, 24652, 4993, 593, 6792, 779, 7178, 5032, 267, 646, 3957, 519, 2244, 4993, 267, 1310, 2836, 2378, 807, 779, 6532, 538, 632, 3933, 2145, 17383, 779, 1433, 563, 12626, 22267, 15656, 623, 788, 903, 11339, 538, 1010, 19701, 540, 1010, 771, 921, 5501, 693, 875, 1455, 7091, 3912, 1185, 1831, 538, 519, 2197, 779, 4108, 563, 19878, 773, 546, 685, 288, 889, 793, 344, 630, 15757, 271, 270, 15757, 274, 268, 10204, 278, 1070, 1732, 1634, 607, 8496, 655, 12251, 16279, 31410, 11017, 610, 5487, 31410, 11017, 267, 729, 513, 2262, 1606, 1782, 518, 267, 22968, 22256, 267, 543, 3677, 31032, 3734, 25251, 476, 1704, 628, 10601, 28910, 22968, 22256, 269, 700, 8636, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14532, 540, 29892, 21998, 257, 607, 851, 540, 834, 16300, 13493, 1315, 10632, 1299, 11242, 1315, 9315, 10632, 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, 0, 3848, 476, 277, 281, 4197, 1306, 6255, 18553, 18639, 281, 20710, 3101, 9147, 11096, 2684, 625, 543, 7073, 24524, 692, 1103, 4207, 2486, 267, 10649, 814, 1831, 5051, 2442, 607, 513, 1106, 540, 3635, 543, 2566, 8323, 269, 1717, 267, 922, 8129, 2196, 1454, 4514, 982, 519, 5767, 8516, 7678, 282, 10649, 568, 12082, 538, 3504, 10952, 5389, 602, 6322, 547, 796, 1518, 1560, 267, 2247, 267, 543, 6891, 269, 7324, 1585, 6163, 540, 10649, 267, 1306, 6255, 18553, 18639, 6763, 856, 607, 513, 9308, 14053, 2259, 602, 10905, 11826, 3350, 9696, 609, 7362, 1852, 267, 2870, 513, 2189, 1995, 585, 1346, 945, 3343, 1312, 6418, 4708, 543, 2168, 4161, 269, 901, 3184, 12538, 883, 519, 1686, 267, 3741, 267, 2553, 267, 543, 2640, 540, 1306, 6255, 18553, 18639, 1247, 8220, 621, 547, 2413, 1072, 543, 9716, 5717, 780, 272, 269, 8466, 25043, 540, 18639, 692, 763, 1523, 540, 10649, 666, 581, 14360, 1394, 547, 5215, 540, 1296, 3516, 950, 5289, 3401, 8179, 21481, 998, 9066, 543, 1582, 16162, 23002, 269, 1452, 2038, 9439, 2919, 1950, 1949, 2966, 547, 11745, 1125, 741, 4703, 267, 8186, 267, 543, 14326, 269, 3683, 5553, 267, 891, 10752, 7960, 883, 3875, 3506, 543, 1899, 1137, 267, 1519, 670, 24048, 18639, 267, 799, 5059, 5097, 593, 2022, 999, 543, 7244, 5751, 269, 4653, 781, 5375, 1242, 4528, 540, 10649, 14405, 8185, 2390, 670, 24048, 18639, 267, 10771, 8112, 267, 4222, 267, 3666, 267, 543, 11005, 780, 273, 269, 3245, 15815, 919, 547, 4793, 534, 329, 8932, 281, 1133, 16225, 532, 519, 17959, 540, 1306, 6255, 18553, 18639, 692, 2026, 6255, 18553, 18639, 7640, 525, 922, 2012, 547, 27041, 4793, 534, 329, 8932, 267, 945, 30363, 519, 18639, 27659, 6652, 1472, 476, 6110, 9460, 1765, 821, 540, 519, 1034, 9565, 5931, 538, 8106, 4095, 6138, 269, 10738, 713, 1521, 1047, 267, 4793, 534, 329, 8932, 13890, 5216, 17873, 630, 1662, 3279, 815, 5216, 267, 2587, 320, 815, 18215, 264, 540, 10649, 267, 7674, 607, 4808, 585, 5683, 2932, 267, 2790, 1445, 267, 543, 1582, 3146, 531, 1436, 269, 4014, 519, 2165, 834, 2026, 6255, 18553, 257, 4016, 4481, 547, 891, 17873, 2864, 982, 513, 1880, 1305, 540, 13514, 267, 2413, 12496, 1419, 1476, 17218, 519, 1079, 1813, 547, 918, 269, 623, 3430, 629, 6062, 11835, 529, 262, 3310, 780, 303, 3430, 629, 6062, 11835, 529, 6594, 896, 25421, 5864, 778, 776, 320, 267, 1776, 7986, 4137, 538, 2413, 10649, 267, 1282, 519, 4571, 2389, 342, 12351, 2540, 269, 27837, 676, 1010, 575, 15843, 781, 10752, 267, 11835, 529, 3459, 3450, 1018, 646, 1572, 834, 2026, 6255, 18553, 966, 4176, 14505, 18639, 257, 1765, 534, 17615, 5311, 540, 15222, 1242, 5322, 543, 24967, 1759, 593, 2757, 670, 24048, 18639, 2409, 269, 4595, 1287, 267, 1306, 6255, 18553, 18639, 814, 6591, 7839, 8560, 1851, 8516, 12439, 5275, 513, 4101, 2943, 11455, 1935, 547, 3635, 780, 274, 269, 9828, 543, 13756, 540, 1306, 6255, 18553, 18639, 692, 23338, 547, 1306, 6255, 18553, 18639, 568, 642, 4176, 14505, 267, 513, 6422, 3095, 1063, 7362, 543, 5163, 602, 5932, 5714, 13289, 1063, 13514, 269, 3962, 3126, 1369, 1306, 6255, 18553, 18639, 5161, 540, 1808, 9696, 5340, 538, 519, 1482, 1931, 1169, 942, 267, 3850, 9439, 547, 13404, 593, 17975, 12972, 267, 29947, 21018, 267, 543, 9013, 19344, 269, 1635, 15222, 1944, 7362, 609, 3350, 267, 2043, 11349, 4656, 267, 9350, 1145, 267, 543, 5834, 780, 2467, 616, 3670, 3119, 3126, 538, 1306, 6255, 18553, 18639, 267, 7930, 2810, 538, 6988, 543, 8515, 269, 30488, 3335, 1376, 609, 519, 1101, 3126, 267, 2519, 593, 13654, 13514, 971, 607, 18746, 2915, 267, 24116, 594, 267, 543, 3529, 10460, 269, 2859, 4359, 9439, 949, 1847, 5196, 13591, 543, 4359, 9696, 6220, 6186, 21356, 267, 1394, 321, 1742, 267, 543, 12048, 1930, 619, 269, 6736, 8795, 2157, 540, 7411, 267, 782, 1306, 6255, 18553, 18639, 7886, 1246, 519, 1482, 2497, 281, 6679, 669, 1218, 267, 3141, 2892, 20706, 267, 7555, 543, 27206, 2022, 999, 267, 14656, 16051, 6652, 267, 543, 3803, 1964, 630, 306, 822, 553, 3570, 6393, 275, 269, 11588, 540, 1306, 6255, 18553, 18639, 281, 21344, 10610, 267, 9650, 267, 543, 13336, 692, 4407, 1082, 4497, 538, 1306, 6255, 18553, 18639, 17033, 585, 922, 2168, 12587, 24568, 920, 1078, 26176, 2088, 267, 4295, 4222, 267, 543, 8112, 9789, 2259, 3091, 2484, 23568, 5626, 543, 5289, 5383, 1932, 269, 8617, 9439, 1867, 4824, 7099, 7939, 267, 4389, 4160, 267, 8476, 5042, 1599, 267, 1732, 3207, 2298, 267, 543, 15398, 2949, 2631, 540, 8171, 269, 5015, 267, 2502, 538, 1895, 5049, 11942, 23274, 267, 12477, 267, 543, 8404, 267, 17923, 1514, 4296, 1898, 585, 1279, 3856, 15984, 547, 2635, 6208, 780, 276, 269, 23889, 1306, 6255, 18553, 18639, 20553, 12634, 2657, 543, 25682, 5494, 6847, 692, 11693, 922, 15491, 2470, 267, 1306, 6255, 18553, 18639, 2488, 3407, 4030, 883, 6626, 7391, 4478, 1857, 1072, 267, 15324, 4915, 267, 543, 2123, 1646, 269, 1280, 3236, 267, 1382, 7028, 1210, 10649, 7459, 607, 7755, 9417, 11257, 7258, 6671, 5574, 585, 1585, 2564, 2175, 899, 5312, 1928, 267, 4965, 267, 543, 6219, 6057, 4713, 269, 5047, 267, 32687, 3782, 3631, 14957, 2898, 16512, 4485, 5447, 16900, 609, 1306, 6255, 18553, 18639, 781, 8561, 593, 11455, 2713, 543, 1582, 13282, 780, 6962, 281, 16871, 28673, 543, 16743, 3414, 1306, 6255, 18553, 18639, 692, 3528, 3695, 519, 3140, 2796, 267, 2930, 3344, 267, 543, 4052, 3156, 540, 1306, 6255, 18553, 18639, 267, 713, 3184, 20217, 3988, 547, 5660, 922, 3638, 6561, 1247, 9301, 922, 10083, 547, 2221, 781, 2479, 21608, 1072, 543, 9716, 5251, 269, 6787, 13197, 6099, 2168, 2773, 267, 3929, 6043, 267, 610, 5289, 2208, 267, 8508, 519, 7326, 543, 9015, 540, 1306, 6255, 18553, 18639, 14767, 6209, 2833, 10489, 2056, 7904, 7566, 535, 6758, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 312, 7541, 543, 8516, 568, 9247, 1474, 699, 31437, 543, 7214, 267, 543, 4890, 2168, 2853, 610, 2093, 602, 12090, 689, 2085, 6040, 5607, 269, 634, 2262, 968, 335, 559, 919, 892, 2731, 5267, 968, 1729, 6443, 4229, 2223, 543, 729, 22666, 689, 519, 16130, 13172, 269, 1403, 596, 723, 1022, 2186, 540, 2055, 7282, 1141, 543, 875, 596, 666, 8415, 681, 312, 307, 476, 4968, 6732, 267, 596, 666, 3346, 721, 693, 938, 2985, 269, 18639, 13175, 693, 930, 942, 5473, 519, 2063, 569, 543, 15795, 5756, 269, 898, 729, 14475, 676, 15446, 529, 630, 611, 738, 2367, 1299, 2021, 602, 2322, 547, 946, 7796, 919, 609, 1142, 824, 264, 723, 1044, 1634, 607, 968, 338, 611, 1002, 338, 1848, 2659, 5048, 968, 4364, 2787, 892, 1318, 1631, 568, 513, 2603, 811, 849, 1634, 607, 513, 9053, 8471, 1974, 585, 1022, 3833, 513, 1906, 2035, 543, 13467, 540, 10649, 543, 8516, 563, 6624, 1004, 616, 4810, 609, 10649, 779, 1875, 16712, 2030, 779, 5072, 281, 602, 10649, 568, 9090, 606, 2025, 9699, 8905, 547, 3929, 627, 565, 8864, 543, 3909, 11144, 269, 634, 8360, 968, 344, 7541, 5751, 892, 568, 5833, 689, 519, 16130, 2596, 1107, 9066, 267, 865, 713, 1797, 9322, 269, 769, 9759, 267, 7796, 919, 7426, 1118, 606, 4674, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 18639, 1315, 1306, 6255, 18553, 18639, 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, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 1373, 689, 1776, 4541, 945, 649, 3513, 1289, 7705, 269, 7705, 1185, 1175, 8452, 593, 3047, 543, 6785, 4986, 827, 3425, 610, 741, 2081, 269, 2290, 1554, 267, 1247, 3695, 267, 7705, 3357, 2066, 513, 2679, 609, 5961, 543, 1913, 782, 936, 621, 1572, 834, 17206, 540, 12548, 645, 30629, 1701, 30985, 267, 7705, 4956, 547, 979, 3330, 780, 5629, 3330, 267, 7705, 4718, 1082, 3425, 9361, 1927, 538, 513, 4055, 6947, 547, 2576, 3717, 269, 901, 1268, 729, 29382, 594, 6767, 267, 513, 2199, 1480, 945, 6743, 1114, 982, 1034, 824, 3425, 7705, 1185, 2938, 865, 2484, 269, 29382, 594, 6767, 729, 6158, 827, 1945, 1271, 910, 2790, 1072, 780, 8334, 1705, 711, 917, 1018, 713, 5921, 267, 855, 1352, 19557, 5402, 607, 29382, 594, 6767, 6045, 269, 898, 5828, 856, 602, 2790, 1072, 5219, 547, 519, 8171, 540, 835, 781, 2247, 543, 4664, 269, 3807, 899, 3425, 1185, 4703, 602, 2877, 1416, 543, 3007, 267, 789, 849, 1185, 8186, 602, 2838, 3168, 1310, 269, 6884, 267, 1004, 1522, 1745, 8909, 267, 14221, 267, 610, 16397, 267, 543, 1346, 4606, 941, 851, 540, 2348, 1434, 2790, 1072, 1932, 269, 1809, 3006, 267, 891, 4606, 666, 1831, 11566, 543, 1860, 835, 781, 2702, 547, 1599, 538, 3232, 1272, 269, 2334, 781, 950, 5275, 3318, 948, 3587, 2556, 780, 291, 297, 594, 6767, 1287, 3838, 1200, 1378, 2833, 607, 513, 3791, 22831, 5545, 1977, 4807, 269, 19663, 909, 267, 1200, 3993, 5143, 1200, 547, 11100, 538, 543, 12404, 2694, 540, 9887, 1317, 2486, 1419, 5701, 1004, 8335, 1759, 593, 875, 789, 1413, 610, 1141, 789, 2097, 689, 269, 1717, 267, 3079, 540, 15720, 267, 29382, 594, 6767, 17947, 1200, 6561, 543, 1031, 621, 547, 1118, 2318, 2242, 538, 1200, 2146, 269, 2701, 2813, 3292, 543, 3906, 6322, 693, 5885, 8284, 1306, 2103, 543, 7414, 6816, 619, 10010, 609, 2790, 1072, 2152, 780, 2026, 7705, 19557, 267, 1352, 7691, 602, 1256, 1498, 3425, 949, 2408, 1114, 593, 519, 3544, 267, 789, 5185, 2147, 2591, 24323, 269, 1358, 4810, 1950, 4664, 543, 12212, 17388, 609, 4509, 3666, 1369, 2933, 269, 1635, 4687, 2984, 543, 2870, 11215, 2950, 267, 3425, 1223, 960, 2509, 1732, 1620, 1142, 824, 543, 5355, 2949, 9716, 780, 9961, 519, 6643, 267, 7705, 4280, 1896, 2055, 971, 607, 1384, 265 ]

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

[ 2483, 276, 25008, 476, 278, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 2237, 513, 1230, 6984, 15048, 676, 25166, 1800, 6301, 18745, 8893, 14136, 454, 763, 3803, 1900, 538, 26004, 606, 1557, 568, 1419, 519, 25759, 5037, 267, 543, 513, 1134, 2275, 2761, 539, 25759, 5037, 666, 1118, 606, 12819, 1557, 1454, 811, 20310, 269, 2991, 17265, 930, 1455, 3932, 9073, 267, 519, 3381, 9727, 2483, 276, 25008, 476, 278, 628, 910, 476, 280, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 3519, 3272, 14313, 538, 5675, 8893, 14136, 454, 8196, 519, 5867, 540, 519, 476, 1220, 275, 16232, 10457, 547, 3142, 10388, 1603, 547, 707, 1362, 269, 8479, 17037, 2697, 519, 1614, 2152, 1034, 1271, 547, 873, 538, 519, 9550, 543, 1382, 519, 2152, 543, 10457, 262, 7158, 269, 1358, 2328, 2483, 276, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 454, 763, 3974, 15048, 20113, 8893, 14136, 454, 11947, 2775, 519, 2956, 540, 31047, 543, 5098, 6898, 676, 2348, 5830, 12575, 543, 556, 2914, 1679, 8370, 1114, 9433, 602, 4196, 607, 4057, 31047, 269, 769, 1840, 547, 31925, 519, 8239, 543, 10259, 9073, 267, 707, 10709, 518, 786, 2483, 277, 628, 910, 476, 278, 628, 2296, 5678, 8551, 0, 2304, 17772, 2354, 532, 9352, 568, 513, 9352, 5182, 1062, 1141, 835, 5182, 10596, 538, 4395, 540, 519, 824, 267, 9571, 676, 7487, 519, 1689, 538, 1769, 950, 602, 4523, 267, 1454, 607, 513, 1098, 1746, 4541, 568, 9571, 269, 769, 1198, 267, 621, 568, 513, 1826, 540, 4756, 5182, 267, 661, 4122, 1031, 607, 519, 4756, 1826, 563, 2005, 568, 835, 540, 513, 1297, 9352, 3613, 541, 5049, 1759, 2390, 875, 519, 5182, 568, 5462, 547, 581, 9352, 269, 11524, 912, 288, 5595, 11060, 1033, 3737, 17772, 2354, 532, 9352, 630, 291, 14701, 289, 264, 568, 606, 17772, 2354, 532, 9352, 267, 513, 5595, 11060, 4715, 14029, 8084, 9352, 543, 513, 1033, 3737, 9352, 630, 2254, 15700, 1040, 0, 30535, 945, 723, 1044, 8995, 609, 2860, 798, 711, 1152, 5855, 827, 519, 2564, 3790, 540, 2126, 855, 972, 568, 849, 513, 1164, 4320, 540, 2550, 945, 991, 7525, 2126, 269, 23108, 1774, 5576, 340, 584, 11233, 538, 15729, 16011, 5063, 5189, 922, 5767, 2234, 23956, 3684, 547, 2550, 799, 1521, 909, 547, 476, 2412, 2550, 513, 1554, 269, 7905, 14639, 8291, 5244, 525, 267, 2212, 540, 5982, 593, 19223, 693, 519, 6413, 1767, 519, 8257, 4867, 12034, 811, 982, 476, 4968, 271, 1007, 593, 19223, 2550, 513, 1032, 269, 968, 9336, 1032, 713, 1297, 4679, 676, 476, 276, 260, 543, 476, 1015, 9077, 909, 476, 2568, 260, 540, 891, 2550, 786, 2154, 2234, 23956, 607, 851, 540, 741, 2126, 563, 763, 3684, 5654, 899, 513, 11632, 2480, 534, 1676, 543, 3388, 568, 8659, 3330, 519, 3684, 9621, 11005, 543, 3106, 269, 589, 2407, 2126, 666, 581, 2944, 1369, 3670, 3764, 543, 568, 2185, 2053, 5488, 982, 3044, 5574, 269, 2701, 8711, 602, 519, 3684, 3239, 3391, 1062, 799, 2636, 519, 5234, 547, 1491, 606, 3239, 540, 519, 1858, 789, 1616, 547, 1521, 267, 1247, 519, 3461, 568, 14084, 593, 519, 5127, 269, 1358, 1287, 25146, 519, 3239, 609, 519, 4058, 11632, 2592, 2073, 339, 2586, 1354, 519, 942, 269, 901, 2636, 4977, 19027, 540, 2550, 2990, 1282, 1169, 2126, 1554, 269, 898, 568, 1271, 585, 2550, 945, 616, 5701, 538, 2127, 1141, 2571, 8031, 543, 8219, 1847, 609, 3232, 12214, 2242, 267, 4180, 8766, 5982, 547, 891, 2127, 563, 294, 549, 1774, 5576, 340, 584, 11233, 568, 4583, 585, 1373, 519, 9872, 1141, 519, 1101, 1480, 547, 1480, 2295, 13003, 3576, 1747, 799, 729, 5342, 676, 2160, 540, 15729, 16011, 268, 14445, 730, 18874, 2441, 807, 534, 4446, 333, 731, 593, 519, 3461, 8402, 25169, 330, 753, 5652, 269, 16065, 2818, 941, 1360, 30190, 543, 4682, 519, 3063, 13304, 547, 1118, 2386, 602, 519, 1957, 1740, 540, 519, 3684, 729, 6192, 593, 942, 563, 293, 3757, 1723, 529, 19850, 985, 9907, 476, 7367, 3838, 1010, 1101, 2126, 1995, 540, 519, 3684, 269, 968, 2005, 779, 2141, 513, 15779, 1995, 855, 1250, 1995, 609, 713, 3684, 568, 1360, 1114, 1317, 621, 1568, 5488, 543, 519, 5234, 568, 1360, 3318, 543, 13959, 622, 6100, 0, 12988, 538, 4884, 1310, 606, 3078, 16314, 593, 519, 17822, 540, 16444, 20092, 267, 10496, 638, 5202, 814, 3238, 9887, 609, 519, 2014, 540, 7286, 5726, 563, 307, 22736, 827, 519, 1482, 10496, 638, 5202, 3081, 267, 834, 32481, 519, 1158, 267, 7286, 8134, 616, 1373, 12219, 267, 28811, 267, 8697, 610, 10032, 676, 1480, 2238, 267, 835, 540, 799, 568, 5533, 269, 14171, 513, 588, 2651, 2059, 1022, 11824, 610, 513, 11878, 593, 513, 7542, 787, 267, 835, 786, 1205, 606, 2856, 540, 1175, 875, 1454, 16445, 568, 13735, 1472, 538, 519, 1106, 540, 519, 5070, 1792, 1233, 609, 5068, 14569, 267, 3165, 10833, 267, 1769, 15620, 267, 16212, 22286, 3591, 267, 29578, 540, 10068, 2121, 610, 16025, 269, 634, 6429, 568, 519, 1482, 519, 1158, 936, 267, 585, 519, 15798, 616, 2407, 540, 20203, 269, 594, 4312, 14754, 713, 1082, 2053, 593, 519, 7542, 787, 547, 1325, 756, 13774, 610, 547, 8496, 327, 6816, 543, 621, 781, 606, 5393, 771, 24711, 2287, 8289, 269, 594, 2731, 1745, 649, 991, 547, 13599, 1004, 543, 3262, 4656, 593, 13149, 5726, 4799, 9515, 2417, 8591, 267, 834, 2171, 666, 1376, 609, 519, 10545, 540, 3268, 547, 3565, 2509, 13149, 11094, 267, 899, 28142, 610, 4227, 938, 946, 540, 5068, 2472, 607, 5068, 1439, 909, 607, 5836, 11935, 7700, 547, 7226, 9552, 543, 1303, 836, 1782, 543, 11318, 9937, 540, 5215, 540, 7286, 2831, 1142, 1032, 269, 1284, 666, 849, 948, 676, 711, 16445, 532, 17822, 543, 25825, 267, 8741, 532, 540, 3653, 538, 606, 13476, 2922, 1259, 543, 556, 6748, 543, 9657, 8164, 2009, 1701, 0, 7049, 13443, 9168, 18151, 16793, 30437, 609, 24638, 12508, 269, 630, 7804, 269, 24204, 30937, 328, 667, 784, 267, 8592, 22846, 25204, 6199, 3427, 540, 5398, 2657, 3842, 6673, 994, 7312, 5955, 568, 1271, 547, 721, 2336, 2171, 16436, 782, 938, 3988, 547, 2671, 609, 721, 741, 5784, 543, 8292, 827, 713, 2376, 563, 11514, 25068, 281, 22227, 11643, 676, 3791, 6105, 593, 713, 3135, 616, 519, 6852, 5539, 540, 519, 1367, 4433, 264, 4171, 1543, 568, 11643, 269, 634, 11545, 10060, 24693, 1100, 5539, 585, 519, 1543, 540, 6085, 4433, 1070, 1519, 267, 1510, 20159, 267, 1022, 5470, 267, 522, 3939, 610, 538, 3147, 5596, 972, 514, 269, 7490, 4063, 602, 707, 4757, 2232, 786, 10691, 2408, 593, 519, 3135, 563, 29197, 281, 1403, 596, 616, 6849, 2042, 609, 20171, 8292, 267, 5225, 4063, 602, 596, 1590, 13182, 707, 4757, 609, 2598, 638, 338, 1991, 547, 20171, 513, 6085, 269, 1246, 713, 3095, 547, 1118, 2386, 707, 2272, 10742, 519, 4170, 269, 630, 10674, 2517, 4226, 269, 569, 23218, 11514, 638, 338, 994, 13640, 16331, 599, 568, 13166, 1863, 540, 13663, 267, 519, 2622, 2657, 9257, 630, 21766, 264, 1767, 11728, 267, 1818, 621, 519, 1101, 2197, 538, 519, 17113, 538, 476, 3393, 1296, 547, 723, 530, 21317, 856, 519, 14686, 2068, 799, 568, 1394, 593, 519, 4473, 11451, 12991, 22022, 3368, 513, 2929, 1004, 4534, 1034, 540, 873, 9002, 543, 1453, 538, 4000, 4534, 5747, 538, 476, 1001, 277, 689, 18151, 25645, 13663, 267, 1247, 693, 2547, 476, 21327, 2929, 941, 7783, 267, 606, 2333, 540, 2947, 2600, 936, 476, 1001, 276, 267, 14959, 1767, 269, 4415, 1100, 6592, 2665, 540, 13663, 538, 2947, 1296, 267, 3474, 16331, 599, 2968, 519, 1101, 2197, 538, 519, 3148, 547, 723, 17515, 13663, 2094, 18010, 538, 476, 3192, 274, 267, 519, 14959, 1767, 269, 769, 476, 1001, 277, 519, 14959, 4857, 3474, 16331, 599, 607, 835, 540, 476, 2641, 2477, 609, 519, 1761, 547, 9004, 13663, 676, 476, 1708, 271, 4586, 293, 5357, 299, 8582, 24199, 8121, 12087, 4041 ]

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

[ 3339, 1591, 1739, 1591, 12760, 563, 4517, 519, 1739, 693, 912, 6357, 5735, 264, 589, 2241, 1591, 9967, 540, 513, 13540, 543, 1486, 22914, 1369, 513, 9245, 454, 4517, 602, 781, 827, 621, 910, 1100, 3476, 6609, 563, 2252, 2417, 7778, 1223, 581, 6035, 621, 1131, 581, 15874, 563, 20118, 594, 3357, 2066, 519, 2165, 9910, 16052, 543, 1586, 693, 912, 296, 1336, 713, 563, 288, 1507, 10199, 20085, 1591, 3812, 676, 519, 9402, 6498, 540, 513, 11425, 11057, 24059, 602, 3568, 1100, 9606, 10095, 5027, 543, 568, 8572, 547, 1332, 610, 7941, 269, 898, 568, 1031, 4603, 958, 547, 2769, 31332, 7408, 543, 5946, 23876, 676, 5027, 5189, 547, 519, 1591, 267, 552, 3052, 269, 538, 519, 1106, 540, 513, 28295, 6152, 563, 4517, 594, 1223, 711, 1265, 4376, 2417, 910, 899, 606, 6905, 2376, 563, 7661, 594, 4718, 519, 2165, 2898, 1591, 5219, 547, 538, 519, 1739, 2376, 912, 26139, 1100, 9939, 4466, 2417, 29208, 540, 519, 2165, 563, 12179, 7778, 267, 29208, 267, 2542, 6402, 1131, 581, 1360, 1454, 15874, 563, 12552, 538, 4434, 269, 0, 2162, 14044, 11916, 15232, 4750, 2878, 17445, 687, 5093, 2878, 1262, 3503, 513, 1079, 2985, 4760, 7127, 602, 2882, 707, 8343, 540, 1806, 543, 1875, 7721, 3263, 540, 2500, 2994, 1031, 585, 4928, 2359, 543, 8965, 7028, 1310, 8384, 891, 1079, 7044, 540, 13460, 2324, 609, 1053, 609, 10295, 269, 2659, 4760, 7127, 1058, 1331, 519, 1739, 281, 476, 272, 269, 14674, 519, 4928, 2359, 1544, 281, 1548, 616, 519, 4928, 3652, 585, 782, 1053, 286, 1548, 616, 519, 2318, 4539, 1031, 547, 1489, 3617, 2623, 286, 1548, 616, 519, 2942, 4539, 1031, 547, 12189, 543, 2061, 2875, 3765, 2041, 8326, 286, 1772, 519, 4928, 2359, 1544, 2500, 538, 2324, 609, 1053, 609, 10295, 8552, 4713, 286, 4208, 610, 1946, 711, 286, 476, 273, 269, 14674, 519, 2168, 1604, 540, 519, 4928, 281, 1548, 568, 519, 27939, 11460, 540, 519, 4928, 286, 1215, 1281, 519, 27939, 11460, 540, 519, 4928, 948, 2333, 610, 27298, 8965, 7965, 286, 6496, 519, 11768, 540, 519, 4928, 2408, 547, 5000, 13998, 11807, 4928, 2623, 286, 11512, 269, 2878, 1262, 476, 274, 269, 14674, 8965, 1489, 2994, 281, 1548, 8965, 1489, 2994, 616, 1031, 547, 1121, 18957, 8965, 7965, 286, 1215, 1419, 616, 8965, 1489, 2994, 8045, 286, 1684, 519, 8965, 1489, 2994, 948, 1053, 547, 1831, 7722, 538, 1565, 286, 4208, 610, 1946, 711, 286, 1215, 616, 519, 1053, 685, 8965, 2115, 1373, 8383, 730, 286, 2878, 1262, 476, 275, 269, 9181, 6286, 585, 4928, 2259, 281, 1215, 1281, 707, 6138, 540, 4928, 2359, 1764, 519, 8965, 2359, 543, 1489, 2994, 596, 20053, 547, 946, 538, 707, 4928, 286, 3629, 1808, 1806, 547, 1489, 707, 6286, 585, 4928, 2259, 269, 2878, 12533, 1103, 2013, 596, 723, 513, 2147, 2243, 543, 991, 621, 12943, 585, 596, 1175, 4945, 11352, 3767, 269, 2311, 6298, 655, 714, 7458, 2593, 649, 723, 782, 519, 1034, 11727, 4081, 5830, 543, 21493, 267, 585, 782, 707, 10467, 267, 3594, 267, 2665, 2090, 267, 4901, 9708, 267, 1788, 18747, 267, 1382, 4574, 267, 4901, 9708, 267, 8808, 10467, 267, 16075, 3594, 267, 5816, 4930, 267, 543, 824, 3029, 540, 4081, 960, 269, 0, 7712, 8837, 2306, 909, 519, 5354, 540, 7082, 24195, 543, 11380, 339, 3591, 267, 713, 3018, 649, 1445, 593, 519, 4835, 25029, 540, 519, 8837, 5665, 1062, 267, 519, 1036, 3588, 32105, 267, 519, 3354, 16426, 267, 543, 1451, 875, 547, 968, 14551, 523, 513, 4216, 892, 12693, 8206, 263, 10059, 2517, 26020, 269, 1598, 520, 5112, 12975, 270, 680, 1872, 8882, 850, 21703, 270, 3707, 29889, 277, 270, 7116, 318, 817, 793, 270, 842, 549, 270, 21163, 260, 1001, 260, 736, 260, 28434, 260, 3066, 26666, 264, 2878, 22860, 2763, 707, 14298, 9816, 3060, 585, 16426, 1262, 5788, 2750, 8533, 519, 3060, 596, 723, 3710, 543, 2119, 547, 3313, 1141, 596, 1589, 3354, 16426, 2291, 269, 5788, 3674, 972, 513, 3354, 8559, 602, 3112, 581, 1273, 3481, 1813, 547, 519, 4170, 4702, 1184, 286, 5788, 22860, 2763, 519, 991, 540, 1367, 1949, 585, 3354, 3800, 522, 13014, 2386, 596, 2638, 585, 1022, 29444, 519, 3301, 1131, 991, 585, 4797, 3339, 5106, 269, 5788, 23945, 593, 875, 519, 17516, 540, 891, 10833, 1058, 2049, 269, 8206, 263, 10059, 2517, 26020, 269, 1598, 520, 5112, 12975, 270, 680, 1872, 8882, 850, 21703, 270, 3707, 29889, 277, 270, 7116, 318, 817, 793, 270, 842, 549, 270, 21163, 273, 260, 736, 260, 27005, 260, 3066, 26666, 264, 2878, 1692, 798, 596, 917, 952, 707, 3070, 729, 513, 1967, 286, 1215, 798, 596, 917, 875, 5150, 568, 5150, 2614, 286, 1262, 5788, 19400, 519, 21912, 1103, 4804, 3381, 13760, 543, 25956, 8837, 476, 1015, 8232, 689, 8837, 476, 1015, 585, 8668, 18370, 12708, 9751, 609, 20574, 623, 846, 344, 5788, 19400, 519, 21912, 1103, 4804, 3381, 3296, 281, 13760, 18983, 2153, 689, 519, 1576, 281, 8668, 8232, 25043, 281, 21952, 3590, 8232, 609, 23436, 645, 1442, 5788, 2710, 1382, 593, 519, 4950, 543, 1451, 811, 827, 519, 968, 327, 1161, 892, 543, 519, 8837, 17830, 6189, 269, 8206, 263, 10059, 2517, 26020, 269, 1598, 520, 5112, 12975, 270, 680, 1872, 8882, 850, 21703, 270, 3707, 29889, 277, 270, 7116, 318, 817, 793, 270, 842, 549, 20081, 2532, 260, 1001, 260, 27005, 260, 3066, 260, 736, 260, 27005, 260, 3066, 26666, 264, 2878, 2690, 707, 4305, 267, 10505, 596, 519, 2164, 689, 707, 18859, 618, 5811, 593, 707, 1788, 269, 1262, 5788, 8138, 2466, 519, 2164, 689, 1900, 476, 272, 593, 938, 4170, 2079, 585, 519, 1788, 563, 1103, 2013, 596, 723, 513, 2147, 2243, 543, 991, 621, 12943, 585, 596, 1175, 4945, 11352, 3767, 269, 2311, 6298, 655, 714, 7458, 2593, 649, 723, 782, 519, 1034, 11727, 4081, 5830, 543, 21493, 267, 585, 782, 707, 10467, 267, 3594, 267, 2665, 2090, 267, 4901, 9708, 267, 1788, 18747, 267, 1382, 4574, 267, 4901, 9708, 267, 8808, 10467, 267, 16075, 3594, 267, 5816, 4930, 267, 543, 824, 3029, 540, 4081, 960, 269, 0, 8269, 699, 31558, 476, 1708, 273, 267, 844, 28262, 281, 713, 568, 1018, 621, 1797, 543, 875, 1454, 2956, 621, 814, 538, 519, 1289, 547, 519, 1135, 3149, 540, 519, 32228, 2103, 593, 10732, 476, 1321, 4873, 476, 1708, 273, 269, 634, 5767, 1135, 3149, 3589, 602, 519, 2556, 1297, 540, 1346, 13886, 547, 8917, 786, 15991, 581, 6603, 563, 8269, 699, 31558, 476, 1708, 273, 267, 844, 28262, 281, 1018, 621, 568, 454, 2690, 519, 4676, 699, 31558, 593, 5126, 540, 476, 1321, 4873, 476, 1708, 273, 527, 786, 581, 2556, 547, 3035, 519, 865, 10777, 844, 28262, 269, 1548, 568, 621, 827, 286, 898, 568, 4080, 593, 519, 3896, 540, 519, 12080, 540, 519, 25181, 29721, 543, 1542, 1807, 269, 968, 763, 2165, 24283, 689, 519, 4678, 1231, 29347, 3745, 689, 519, 12908, 1495, 540, 519, 8231, 1201, 3266, 630, 10915, 619, 267, 1427, 25625, 267, 8887, 636, 267, 3277, 516, 264, 799, 1851, 922, 3875, 10096, 849, 2882, 1346, 540, 13288, 267, 8989, 267, 14775, 563, 763, 2165, 844, 28262, 267, 849, 540, 2312, 5824, 5169, 267, 24283, 689, 519, 8360, 968, 638, 28262, 3193, 9874, 16163, 892, 543, 1797, 519, 844, 28262, 267, 519, 5354, 267, 1869, 4909, 5238, 538, 519, 4703, 543, 538, 7104, 3664, 9232, 563, 20684, 476, 4037, 540, 519, 9139, 12857, 519, 1523, 540, 844, 28262, 281, 968, 2005, 568, 9307, 22275, 31558, 2442, 547, 20982, 519, 2698, 610, 9864, 705, 5766, 566, 540, 513, 1876, 610, 606, 957, 2348, 519, 3196, 540, 1876, 267, 950, 16761, 676, 2947, 4627, 8536, 17037, 610, 2947, 6237, 5646, 15078, 9232, 563, 1432, 4523, 952, 621, 568, 711, 6913, 888, 3383, 267, 1018, 4523, 952, 519, 12556, 995, 844, 28262, 568, 711, 6603, 593, 10732, 476, 1321, 4873, 286, 589, 22275, 31558, 568, 2808, 4570, 1152, 952, 621, 10301, 519, 844, 28262, 540, 519, 6207, 5354, 6518, 14687, 547, 476, 2004, 260, 1341, 476, 272, 540, 519, 17037, 269, 634, 705, 5766, 894, 22275, 526, 4548, 616, 18170, 676, 9137, 476, 4037, 540, 519, 9139, 281, 968, 763, 11556, 1641, 547, 22275, 31558, 568, 9516, 952, 519, 5354, 540, 1346, 13886, 547, 7119, 538, 519, 8917, 267, 543, 952, 519, 5354, 540, 4570, 569, 5641, 16018, 568, 6603, 31422, 563, 2252, 891, 2338, 616, 711, 6603, 267, 13359, 3112, 1860, 9086, 269, 4475, 267, 519, 5821, 547, 3914, 519, 844, 28262, 621, 849, 1281, 711, 1450, 513, 22275, 31558, 538, 799, 9811, 525, 7173, 841, 936, 1100, 547, 4283, 883, 3196, 269, 769, 2259, 267, 952, 519, 2556, 844, 28262, 568, 711, 6603, 593, 10732, 476, 1321, 4873, 476, 1708, 273, 267, 4986, 1131, 1689, 3379, 547, 2221, 269, 570, 650, 1631, 538, 7977, 519, 844, 28262, 814, 1044, 6603, 538, 476, 4375, 856, 540, 476, 6858, 22275, 31558, 2055, 269, 1809, 689, 476, 1960, 278, 547, 2221, 621, 814, 3592, 2760, 1044, 6603, 281, 1152, 538, 476, 1001, 272, 1705, 519, 5354, 540, 17037, 7119, 563, 5649, 849, 281, 4676, 699, 31558, 4873, 476, 1321, 267, 476, 1708, 273, 267, 9811, 610, 1100, 281, 519, 2990, 540, 519, 6105, 454, 258, 8269, 699, 31558, 1948, 638, 28262, 1948, 516, 3737, 1948, 301, 11246, 306, 0, 27609, 2218, 20113, 538, 24143, 7335, 454, 14862, 2110, 32461, 1210, 513, 7848, 540, 1726, 1076, 267, 620, 1729, 267, 4557, 528, 543, 18369, 1579, 12028, 663, 1585, 1455, 1098, 21752, 269, 634, 1433, 30211, 593, 1019, 520, 4577, 688, 678, 3000, 545, 1353, 630, 10175, 21022, 18749, 338, 264, 543, 23191, 4831, 4812, 538, 909, 547, 1614, 2694, 269, 634, 5751, 5721, 1053, 547, 1491, 538, 1082, 588, 2314, 520, 2899, 267, 547, 1294, 1141, 519, 9030, 23260, 568, 267, 547, 1174, 11745, 625, 543, 1110, 2827, 267, 547, 1224, 1585, 1579, 12028, 267, 543, 1098, 2821, 607, 2556, 563, 347, 10048, 3011, 25033, 1475, 23682, 5112, 2160, 4964, 2008, 347, 8310, 21213, 1475, 1708, 273, 268, 5881, 268, 6860, 476, 6187, 281, 4391, 281, 4029, 2008, 347, 21812, 1475, 23682, 5112, 2160, 4964, 2008, 347, 4467, 1842, 518, 1475, 1692, 731, 674, 31867, 517, 31340, 269, 744, 269, 24261, 347, 0, 2304, 928, 26573, 729, 4535, 538, 476, 14917, 276, 538, 5507, 269, 2701, 2968, 10348, 540, 4789, 267, 10430, 543, 8581, 538, 476, 10204, 273, 267, 543, 1287, 10348, 540, 4279, 6628, 543, 8581, 1739, 519, 6411, 540, 9769, 538, 476, 10204, 278, 269, 9282, 1869, 23503, 267, 621, 568, 1419, 2219, 602, 10348, 14732, 1185, 693, 2547, 835, 24139, 2078, 563, 16729, 1296, 540, 11552, 848, 936, 3751, 6276, 4083, 630, 2304, 928, 779, 4651, 264, 30871, 267, 519, 865, 1572, 32219, 4838, 5645, 856, 676, 14732, 779, 11078, 543, 7015, 538, 1876, 267, 6307, 543, 5261, 540, 21060, 267, 513, 1360, 1857, 24895, 609, 519, 1071, 15065, 1105, 338, 543, 513, 2295, 8840, 476, 1704, 28336, 26691, 267, 14732, 10841, 2105, 519, 17599, 538, 476, 10204, 273, 269, 4173, 10639, 814, 1044, 8297, 1441, 10169, 676, 519, 1913, 540, 835, 540, 1200, 5449, 2828, 267, 519, 667, 31866, 1087, 540, 3057, 331, 28386, 269, 1809, 2413, 12206, 1631, 2070, 1200, 12081, 811, 7957, 2227, 29087, 1107, 1200, 12081, 4718, 3621, 267, 7499, 267, 5339, 267, 2804, 543, 2797, 7760, 267, 607, 1134, 607, 1713, 20320, 10781, 563, 2005, 568, 2965, 713, 3659, 267, 8861, 26235, 267, 602, 14732, 568, 16143, 676, 930, 547, 723, 1185, 513, 24139, 2078, 609, 269, 1358, 941, 2828, 2094, 6689, 267, 5795, 1142, 824, 12183, 12849, 630, 300, 3464, 5651, 2917, 585, 14732, 543, 11427, 6154, 17507, 585, 8861, 264, 543, 1310, 789, 1185, 15468, 856, 621, 568, 1634, 602, 8861, 6836, 547, 3109, 21166, 519, 10348, 609, 5022, 13031, 741, 25055, 269, 681, 636, 2293, 941, 849, 3262, 267, 13148, 676, 8861, 267, 602, 519, 10348, 849, 1185, 513, 2663, 24139, 2078, 609, 1200, 19463, 2806, 580, 841, 631, 1662, 600, 269, 3509, 12206, 543, 4966, 593, 10348, 14732, 8044, 1996, 713, 2705, 267, 543, 2226, 602, 1352, 729, 9310, 543, 13991, 547, 13584, 6723, 540, 16862, 2394, 1010, 2669, 538, 476, 10204, 279, 563, 20075, 523, 14732, 5747, 538, 476, 14378, 275, 9907, 1152, 476, 5392, 267, 543, 1317, 1352, 1185, 1100, 2713, 1453, 14618, 4956, 602, 1352, 1131, 581, 16309, 676, 20153, 807, 267, 5082, 816, 540, 12390, 1478, 630, 320, 11397, 267, 855, 17557, 6935 ]

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

[ 269, 1452, 14751, 725, 11760, 2250, 9292, 1206, 1510, 23029, 593, 873, 267, 6038, 5807, 6418, 4708, 543, 4824, 3347, 780, 14300, 540, 19807, 543, 15603, 979, 14751, 725, 1331, 1384, 265, 594, 5305, 1022, 991, 585, 20947, 610, 1427, 531, 2747, 282, 594, 3442, 2648, 3079, 563, 265, 594, 993, 18507, 585, 519, 4245, 4121, 689, 1250, 2250, 2833, 563, 265, 594, 31799, 8885, 543, 1866, 267, 3850, 721, 782, 547, 12115, 543, 1847, 4464, 563, 265, 594, 1577, 979, 540, 1022, 6788, 602, 1100, 3476, 4196, 803, 563, 265, 3733, 2295, 568, 1930, 267, 22205, 1007, 4296, 543, 3255, 780, 4089, 476, 274, 281, 20074, 1280, 326, 4369, 543, 2913, 1154, 3619, 10500, 3305, 725, 454, 28885, 19807, 543, 15603, 979, 14751, 725, 883, 3232, 13467, 3340, 2259, 543, 11428, 269, 10670, 676, 7114, 1808, 3871, 610, 1004, 8506, 19807, 543, 14344, 2404, 4664, 269, 8921, 267, 2824, 3617, 14751, 725, 3358, 547, 1346, 6381, 269, 7053, 267, 10956, 519, 6074, 14751, 725, 5781, 1765, 728, 958, 2789, 2053, 829, 1554, 1765, 2181, 2536, 2406, 1282, 9602, 8090, 540, 8086, 610, 9066, 269, 3683, 942, 267, 891, 14751, 725, 1831, 3824, 11712, 538, 835, 781, 14820, 267, 14123, 9758, 10593, 538, 5133, 543, 7553, 780, 4089, 476, 275, 281, 4980, 22899, 7831, 532, 7827, 3414, 3117, 29548, 543, 8081, 454, 4407, 19807, 543, 15603, 979, 14751, 725, 2709, 10373, 1761, 2640, 267, 9434, 1689, 19329, 5812, 4674, 543, 5007, 1489, 269, 28259, 532, 13951, 609, 14637, 2828, 267, 1920, 2818, 267, 610, 4648, 7512, 12477, 267, 25040, 2635, 5615, 267, 543, 8309, 547, 1279, 3856, 1967, 269, 3958, 267, 7110, 532, 14751, 725, 609, 14911, 2853, 899, 30998, 267, 3797, 267, 610, 17035, 2417, 4396, 5809, 3356, 4724, 7067, 543, 9716, 780, 6962, 912, 10387, 10899, 1928, 568, 606, 17149, 2460, 540, 1480, 6228, 267, 2943, 2043, 4865, 8116, 3823, 875, 789, 4431, 547, 543, 9156, 689, 8801, 2833, 269, 1280, 326, 4369, 543, 15603, 979, 14751, 725, 1683, 14984, 1797, 540, 5466, 29886, 16398, 267, 14237, 6043, 267, 543, 19620, 3666, 1369, 835, 781, 1272, 269, 1306, 15091, 2429, 968, 8489, 6496, 898, 670, 4669, 2223, 8508, 1582, 268, 11391, 1077, 618, 5012, 547, 4389, 7092, 543, 2799, 7772, 269, 2060, 7029, 543, 8990, 267, 6267, 2502, 538, 713, 1770, 786, 10836, 1732, 9280, 547, 6330, 1272, 781, 2591, 543, 9784, 922, 5898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 8489, 6496, 898, 670, 4669, 892, 568, 513, 1433, 602, 2488, 513, 13801, 543, 4977, 5758, 540, 519, 1433, 779, 9115, 269, 769, 713, 1433, 267, 519, 2278, 7710, 519, 1585, 2127, 540, 938, 2729, 1141, 649, 1995, 1928, 543, 3091, 4052, 3435, 585, 4466, 8323, 563, 1607, 2376, 5713, 607, 606, 4367, 547, 519, 1433, 267, 10223, 922, 1292, 4798, 543, 1883, 1491, 25498, 267, 5356, 3988, 606, 7650, 540, 1018, 789, 666, 2503, 547, 2744, 689, 2542, 621, 269, 6787, 621, 779, 2168, 267, 3929, 267, 610, 22228, 1928, 267, 519, 2278, 2488, 4030, 543, 2994, 547, 948, 3988, 1174, 267, 2232, 267, 543, 7753, 741, 1928, 563, 763, 1433, 6663, 547, 7668, 2043, 547, 1491, 1852, 540, 741, 1378, 7067, 3460, 543, 2661, 513, 1272, 1863, 689, 11991, 7092, 269, 1635, 3695, 1114, 5380, 593, 1928, 543, 5356, 29829, 3268, 267, 968, 8489, 6496, 898, 670, 4669, 892, 5713, 607, 513, 3407, 4199, 585, 4896, 3168, 547, 2087, 741, 1134, 5630, 563, 272, 269, 634, 17714, 1677, 8682, 268, 3891, 2718, 454, 21615, 1046, 593, 513, 13710, 3460, 2509, 1582, 13463, 2718, 609, 4030, 689, 519, 1433, 968, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2690, 326, 4369, 543, 2913, 1154, 3619, 10500, 3305, 725, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 10500, 3305, 725, 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, 0, 6092, 5149, 281, 22878, 543, 12389, 3778, 910, 10289, 8836, 1234, 523, 716, 906, 998, 17421, 612, 904, 543, 11657, 2456, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 2686, 556, 523, 716, 906, 267, 1210, 10344, 607, 938, 3119, 1907, 585, 7634, 543, 2079, 269, 3776, 2013, 1353, 786, 581, 519, 14969, 556, 523, 716, 618, 540, 1977, 4095, 2238, 676, 4436, 23153, 12439, 267, 1634, 607, 834, 24465, 626, 1731, 9383, 889, 1701, 901, 7613, 2488, 721, 609, 513, 2189, 4316, 547, 2263, 2152, 4478, 3961, 267, 6561, 267, 543, 3140, 6041, 1247, 28798, 938, 1983, 538, 8666, 329, 16067, 1143, 543, 17245, 10344, 780, 1262, 4089, 476, 272, 281, 4197, 8836, 1234, 523, 716, 906, 4373, 24292, 556, 523, 716, 906, 3277, 547, 519, 2259, 540, 973, 11661, 3140, 2621, 267, 5389, 267, 610, 2081, 540, 1272, 607, 513, 1797, 540, 8497, 267, 14120, 267, 610, 1565, 827, 519, 2250, 269, 1452, 2238, 1419, 4125, 6946, 3007, 547, 1469, 267, 1519, 4977, 10063, 2388, 540, 7802, 267, 605, 1186, 267, 1893, 267, 543, 5615, 269, 2755, 789, 666, 4196, 3872, 5301, 543, 6536, 2146, 2679, 267, 789, 849, 6318, 2055, 827, 13597, 267, 11475, 267, 543, 12796, 2305, 540, 2528, 780, 265, 12244, 281, 3194, 1114, 2010, 540, 2686, 556, 523, 716, 906, 1472, 519, 1158, 543, 1459, 707, 4681, 538, 1362, 269, 22177, 1262, 4089, 476, 273, 281, 634, 10020, 540, 22878, 538, 11657, 532, 9177, 4373, 21900, 2762, 814, 1279, 1044, 1031, 607, 513, 1907, 585, 25643, 4529, 543, 7239, 267, 3246, 3308, 2963, 540, 1004, 781, 2729, 267, 2853, 267, 543, 4978, 269, 769, 519, 2796, 540, 2686, 556, 523, 716, 906, 267, 21706, 723, 519, 4316, 547, 7001, 1312, 519, 588, 3042, 12644, 543, 519, 3297, 7308, 27214, 25333, 3344, 267, 5356, 4030, 883, 519, 18144, 543, 2833, 540, 1346, 3238, 780, 265, 10112, 9892, 281, 8073, 513, 3126, 540, 11147, 13830, 1585, 2609, 540, 513, 2199, 2686, 2680, 610, 13037, 269, 22177, 1262, 4089, 476, 274, 281, 22718, 17421, 612, 904, 543, 11657, 2456, 4373, 20124, 612, 904, 543, 32026, 2709, 3532, 9423, 2645, 602, 979, 3564, 1367, 2592, 267, 3850, 21706, 547, 6655, 1950, 6386, 543, 6835, 269, 1879, 6313, 971, 1568, 267, 2015, 2188, 899, 5888, 267, 8654, 267, 15971, 267, 543, 1309, 1632, 532, 267, 607, 1134, 607, 6626, 4798, 543, 5683, 4145, 780, 265, 30206, 281, 13772, 543, 1865, 5697, 8666, 612, 904, 543, 32026, 5059, 593, 2686, 556, 523, 716, 906, 267, 7421, 741, 9342, 543, 12755, 269, 22177, 1262, 4089, 476, 275, 281, 8865, 5530, 1107, 4436, 4095, 2037, 28387, 328, 6814, 4373, 14303, 9506, 547, 938, 3355, 1383, 267, 1577, 781, 4983, 875, 21706, 723, 13006, 519, 4436, 4095, 6429, 269, 1284, 786, 5659, 1896, 8666, 3594, 543, 32026, 267, 3695, 3584, 899, 3140, 6111, 267, 3261, 566, 267, 543, 3444, 14426, 5385, 269, 3414, 891, 5717, 267, 1053, 786, 2744, 5813, 883, 519, 1761, 5222, 540, 2686, 556, 523, 716, 906, 593, 4207, 2486, 543, 1367, 9163, 780, 265, 13625, 12143, 281, 7994, 513, 8666, 1557, 610, 17245, 593, 519, 4436, 4095, 6429, 543, 2328, 606, 10763, 1957, 7234, 922, 24575, 540, 2686, 556, 523, 716, 618, 267, 5466, 1312, 2318, 543, 2942, 3344, 269, 22177, 1262, 4089, 476, 276, 281, 4045, 532, 609, 7351, 12367, 4373, 2026, 649, 9959, 938, 1576, 1770, 267, 621, 568, 1898, 547, 2992, 2390, 519, 4296, 1063, 3140, 2686, 556, 523, 716, 906, 543, 2413, 5322, 971, 607, 5430, 2452, 267, 700, 2752, 303, 532, 630, 299, 633, 11059, 10020, 7591, 1070, 543, 824, 3029, 540, 15138, 9913, 269, 1635, 6236, 891, 19320, 267, 1053, 786, 15052, 741, 1620, 540, 1946, 2043, 4497, 538, 971, 2238, 543, 875, 789, 3337, 2123, 543, 7104, 9163, 780, 265, 29806, 5741, 281, 3763, 513, 8666, 1557, 610, 2110, 17245, 593, 513, 4207, 1106, 540, 2686, 556, 523, 716, 618, 267, 5373, 16198, 543, 24716, 609, 519, 4436, 4095, 6429, 950, 3617, 30818, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 335, 21242, 693, 5254, 30204, 21612, 294, 11553, 8577, 267, 12815, 7464, 1436, 10749, 593, 12634, 3864, 3203, 30619, 1700, 18958, 296, 267, 5292, 269, 476, 272, 267, 476, 1001, 277, 454, 763, 14969, 556, 523, 716, 618, 540, 1977, 4095, 2238, 676, 4436, 23153, 12439, 568, 519, 1448, 540, 22576, 585, 590, 553, 15939, 623, 2129, 548, 779, 6404, 2173, 4215, 10380, 4436, 4095, 630, 1220, 276, 1700, 1015, 1040, 12910, 539, 968, 331, 1516, 1686, 892, 676, 930, 540, 519, 4095, 626, 1731, 9383, 889, 5171, 1765, 3228, 344, 8536, 2818, 16030, 2185, 4627, 15731, 267, 2687, 547, 513, 476, 1220, 280, 7447, 272, 9789, 572, 2621, 616, 29600, 676, 519, 6131, 18643, 540, 7802, 543, 13742, 267, 543, 556, 523, 716, 906, 540, 23929, 267, 2575, 267, 543, 1585, 1514, 9821, 610, 12738, 269, 9521, 741, 13413, 538, 519, 2136, 2276, 945, 949, 6108, 3275, 610, 1296, 8600, 1804, 8397, 6406, 2782, 4108, 556, 523, 716, 906, 267, 519, 4436, 15908, 1235, 1445, 811, 593, 3232, 2238, 543, 5920, 982, 1305, 1790, 19991, 12959, 269, 8616, 519, 7029, 547, 2143, 267, 13840, 1808, 556, 523, 716, 906, 568, 3622, 2147, 267, 865, 602, 930, 12439, 1522, 7119, 538, 5742, 543, 20752, 12959, 593, 835, 1554, 543, 513, 751, 701, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 5588, 24209, 1315, 17421, 612, 904, 1299, 11657, 2456, 1315, 18366, 22878, 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, 0, 594, 993, 513, 9488, 321, 1042, 5198, 1817, 572, 26519, 945, 814, 1044, 538, 519, 1870, 585, 936, 476, 736, 1296, 269, 594, 4312, 2141, 6068, 2324, 609, 9640, 267, 855, 899, 1082, 1866, 538, 519, 2872, 267, 594, 2760, 5795, 1454, 2219, 547, 1018, 5949, 547, 873, 2899, 741, 11678, 941, 936, 269, 2334, 782, 4957, 950, 594, 1558, 8861, 267, 513, 6131, 16943, 945, 5249, 5702, 609, 519, 18897, 965, 321, 1042, 2991, 3249, 19137, 630, 307, 8150, 6393, 27880, 729, 13730, 827, 5009, 3743, 7504, 9562, 543, 1310, 3249, 267, 543, 1352, 8118, 1250, 4064, 547, 519, 4641, 5185, 676, 9118, 19622, 5198, 4243, 525, 269, 3509, 1439, 909, 693, 25488, 8075, 1141, 789, 666, 581, 4421, 585, 1970, 5777, 547, 2043, 945, 949, 711, 723, 519, 1702, 610, 1797, 547, 5265, 1416, 585, 873, 269, 901, 1419, 5012, 547, 20495, 267, 4731, 333, 712, 1639, 267, 543, 1256, 26884, 2831, 1107, 621, 781, 2295, 12577, 780, 291, 17827, 547, 1118, 513, 3017, 267, 594, 3459, 23712, 609, 519, 570, 8150, 547, 948, 6318, 4656, 1851, 8284, 30157, 543, 9742, 619, 269, 1284, 3323, 7598, 2242, 1369, 938, 1378, 2146, 267, 4687, 1344, 827, 26886, 1310, 3249, 3292, 543, 10771, 519, 2956, 540, 3246, 10715, 1416, 585, 938, 1226, 710, 9845, 780, 3080, 1554, 267, 649, 4607, 3377, 540, 606, 14460, 544, 732, 3957, 30751, 945, 1185, 1044, 4362, 538, 632, 680, 22789, 2783, 2282, 513, 2199, 3484, 269, 4173, 3105, 8227, 267, 7000, 547, 581, 513, 5449, 7817, 540, 9553, 267, 1185, 2451, 1200, 3297, 1510, 1022, 1426, 610, 1216, 950, 646, 1223, 1100, 3476, 6488, 547, 1832, 1200, 269, 3733, 2295, 521, 1678, 607, 594, 7691, 602, 5103, 1250, 1655, 3646, 267, 835, 540, 834, 3240, 257, 9640, 1185, 15468, 998, 519, 18015, 780, 30342, 1312, 16203 ]

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

[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1677, 7247, 1281, 9478, 5873, 519, 570, 691, 1513, 32467, 888, 273, 269, 1548, 568, 519, 2012, 540, 519, 28183, 543, 14500, 540, 519, 4622, 540, 12996, 593, 513, 14629, 1657, 519, 966, 626, 3121, 5211, 888, 274, 269, 2991, 9478, 6645, 4432, 345, 321, 2884, 6390, 1018, 646, 786, 798, 952, 16091, 267, 1018, 1281, 4432, 345, 321, 2884, 6390, 9153, 888, 275, 269, 5808, 2729, 1657, 519, 4077, 26506, 330, 529, 888, 276, 269, 1548, 1281, 519, 24928, 2709, 547, 853, 553, 585, 3858, 532, 547, 22342, 593, 9478, 781, 1920, 888, 14112, 4828, 5999, 454, 272, 269, 769, 3848, 476, 275, 267, 1018, 4386, 950, 519, 4077, 26506, 7288, 1920, 9311, 625, 3967, 23006, 344, 547, 1010, 1753, 888, 273, 269, 769, 3848, 476, 272, 267, 1310, 519, 24928, 3091, 547, 4444, 519, 6221, 9361, 538, 7754, 12448, 781, 530, 6782, 267, 1018, 4523, 888, 274, 269, 4208, 798, 519, 14470, 1004, 6430, 711, 547, 9718, 918, 21531, 578, 543, 1577, 519, 570, 691, 1513, 10788, 720, 741, 2749, 888, 275, 269, 769, 3848, 476, 278, 267, 593, 519, 3781, 602, 4432, 345, 321, 2884, 6390, 6645, 9478, 602, 20435, 2558, 532, 568, 609, 1200, 11515, 267, 1018, 3116, 1281, 1352, 2995, 1864, 827, 918, 516, 583, 345, 888, 276, 269, 769, 3848, 476, 280, 267, 568, 8834, 540, 519, 29502, 8131, 3811, 538, 13844, 519, 14951, 888, 277, 269, 1215, 1281, 8834, 540, 519, 29502, 8131, 1544, 547, 2736, 883, 7754, 12448, 781, 19887, 543, 21102, 519, 14951, 538, 3848, 476, 280, 888, 278, 269, 11512, 875, 519, 14470, 1004, 1745, 607, 789, 723, 547, 4734, 741, 14252, 1317, 789, 917, 519, 570, 691, 1513, 616, 21945, 563, 279, 269, 5903, 930, 540, 519, 1919, 602, 9478, 12034, 543, 30650, 607, 646, 1101, 5036, 1010, 24738, 593, 519, 2749, 538, 3848, 476, 273, 563, 280, 269, 14674, 875, 519, 1004, 540, 12996, 1745, 950, 789, 5873, 602, 519, 570, 691, 1513, 616, 15292, 532, 4724, 741, 2244, 888, 1015, 269, 11512, 1946, 1082, 1004, 3343, 3967, 23006, 344, 781, 5796, 563, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 28097, 875, 519, 2278, 6799, 519, 1514, 1362, 2497, 538, 918, 21531, 578, 538, 476, 16409, 272, 269, 6496, 519, 2278, 781, 6609, 540, 891, 1514, 5049, 3280, 899, 621, 729, 606, 2500, 1259, 540, 10647, 2486, 286, 6496, 1010, 6609, 1118, 621, 3280, 899, 606, 1367, 1223, 3362, 1689, 1514, 5049, 286, 12315, 1806, 547, 1489, 707, 3932, 563, 13625, 13445, 476, 273, 454, 763, 2278, 3096, 1312, 22509, 17495, 12976, 543, 24457, 2429, 519, 1433, 269, 11512, 799, 835, 568, 811, 2500, 607, 513, 5339, 3926, 267, 799, 835, 596, 2972, 2542, 811, 267, 543, 4128, 1946, 563, 13625, 13445, 476, 274, 454, 3963, 798, 596, 1589, 519, 2278, 1031, 1312, 14070, 543, 1875, 1922, 12302, 3197, 538, 519, 3209, 286, 1684, 596, 1589, 621, 568, 14845, 547, 9192, 3020, 543, 1500, 909, 3197, 286, 1403, 596, 941, 25461, 609, 1603, 513, 3140, 5708, 3209, 267, 1131, 596, 798, 621, 519, 1482, 1259, 602, 713, 2278, 1705, 286, 4208, 610, 1946, 711, 888, 1607, 3296, 3568, 476, 280, 5379, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 28053, 6049, 6165, 568, 513, 3056, 2014, 540, 2634, 2860, 563, 5719, 321, 622, 681, 2432, 630, 274, 994, 1607, 7521, 786, 6961, 267, 835, 1259, 610, 1776, 267, 952, 519, 2923, 814, 513, 5748, 585, 1818, 519, 27069, 3409, 563, 296, 786, 946, 1079, 7440, 585, 713, 7521, 454, 272, 264, 898, 568, 1869, 31713, 2436, 610, 711, 1591, 11436, 2014, 2634, 2860, 454, 273, 264, 23985, 3112, 581, 519, 3056, 2014, 540, 2634, 2860, 952, 621, 1281, 711, 2014, 621, 267, 610, 952, 621, 568, 3274, 711, 519, 19845, 4696, 5058, 2014, 454, 272, 264, 1703, 723, 1044, 9118, 2090, 3843, 547, 1294, 952, 1591, 11436, 798, 2014, 2634, 2860, 2807, 1656, 972, 568, 1360, 20849, 2963, 6029, 1022, 9756, 1063, 1591, 6049, 946, 543, 2634, 2860, 269, 17796, 2630, 782, 1397, 875, 1591, 11436, 616, 711, 5532, 547, 2634, 2860, 454, 24281, 519, 4102, 1353, 2943, 540, 922, 2186, 267, 20636, 3173, 723, 1336, 1100, 9756, 1063, 946, 540, 1591, 10746, 543, 1981, 585, 2634, 12970, 538, 4079, 4799, 257, 307, 32214, 3928, 538, 7187, 3864, 2477, 723, 7283, 11931, 998, 476, 1220, 279, 5103, 7839, 1591, 6049, 946, 4840, 257, 3080, 540, 519, 4102, 543, 13074, 2090, 593, 519, 1641, 9060, 1100, 811, 2634, 12970, 1851, 1004, 945, 1185, 1591, 11436, 936, 476, 1704, 1296, 982, 1851, 1004, 945, 1185, 1100, 1591, 11436, 4799, 257, 12573, 267, 1822, 1004, 6502, 476, 1789, 543, 4587, 543, 1336, 972, 729, 1100, 3017, 538, 2860, 3928, 1063, 1279, 5503, 1591, 6049, 834, 11357, 30533, 619, 257, 543, 1346, 945, 4769, 1405, 723, 513, 6049, 2437, 454, 257, 1729, 4266, 972, 568, 1100, 2963, 689, 2090, 540, 2281, 267, 2831, 267, 610, 3425, 602, 5925, 325, 15968, 1648, 666, 2014, 2860, 4799, 10454, 1382, 2319, 9916, 519, 5619, 1239, 543, 7948, 1405, 1265, 1022, 3095, 1063, 1591, 6049, 6165, 543, 2634, 12970, 4840, 24679, 781, 3810, 12691, 602, 1591, 11436, 2014, 2860, 1317, 789, 12520, 834, 12061, 23760, 1944, 5982, 257, 799, 568, 1360, 4617, 543, 3085, 1405, 2731, 1860, 2713, 2281, 4840, 21202, 1279, 3856, 1353, 540, 20636, 5985, 6049, 946, 814, 796, 25406, 665, 958, 5462, 602, 972, 568, 1100, 4276, 1063, 5985, 6049, 946, 543, 1585, 11871, 540, 519, 2634, 4840, 257, 10702, 1382, 814, 1044, 3370, 11021, 972, 568, 1100, 3095, 1063, 5985, 11436, 543, 2634, 2860, 4799, 24281, 1034, 2090, 2550, 609, 2634, 12970, 798, 711, 1867, 811, 1591, 6049, 946, 2949, 982, 519, 8060, 4799, 21202, 1007, 1353, 814, 7000, 602, 1453, 543, 10708, 945, 946, 5985, 11436, 616, 711, 693, 513, 19250, 1713, 2799, 1981, 540, 2634, 2860, 3379, 547, 741, 9905, 945, 798, 711, 946, 5985, 11436, 4799, 257, 6624, 4966, 3858, 602, 547, 4266, 267, 972, 568, 1100, 598, 5477, 2963, 602, 6402, 1591, 268, 7483, 946, 547, 2634, 2860, 4840, 257, 276, 5479, 1591, 6049, 3755, 11451, 267, 8204, 5176, 1614, 6709, 11467, 540, 519, 1158, 781, 2551, 269, 1717, 267, 519, 11841, 543, 9019, 2557, 540, 2634, 543, 3844, 8401, 1062, 11871, 814, 7283, 12303, 6366, 2094, 476, 2735, 278, 4840, 3383, 519, 1448, 568, 267, 8426, 11436, 798, 711, 17046, 569, 2014, 11020, 9435, 454, 273, 264, 634, 2034, 3364, 594, 1616, 547, 2232, 568, 519, 1699, 1592, 540, 3056, 3123, 540, 11020, 2860, 538, 1100, 1880, 1931, 454, 268, 22452, 547, 5982, 899, 6046, 1379, 2030, 4600, 454, 268, 22452, 270, 8196, 540, 31131, 24957, 2676, 268, 22452, 547, 15550, 2643, 25914, 1938, 602, 5540, 1004, 945, 5478, 1978, 2010, 540, 5068, 454, 268, 22452, 547, 3600, 787, 23127, 527, 686, 548, 602, 5540, 1004, 945, 5478, 1978, 2010, 540, 20955, 543, 15229, 454, 268, 5525, 3976, 2484, 723, 711, 1336, 606, 2799, 1981, 540, 2634, 12970, 1851, 1004, 945, 946, 1591, 11436, 563, 3383, 1591, 11436, 616, 711, 8810, 547, 2014, 11020, 2860, 543, 607, 540, 1318, 1631, 621, 568, 1034, 6157, 711, 519, 3056, 2014, 540, 2634, 2860, 563, 1231, 573, 1190, 585, 10623, 1243, 713, 5180, 563, 296, 8831, 1250, 7440, 907, 2483, 1231, 573, 1190, 585, 10623, 1243, 713, 5180, 563, 272, 16018, 814, 1044, 5116, 585, 713, 7521, 563, 309, 1774, 1773, 3166, 676, 476, 272, 706, 560, 335, 3881, 476, 275, 1296, 3516, 454, 347, 13070, 7517, 609, 1354, 519, 7521, 10573, 268, 1475, 268, 1475, 271, 2798, 2008, 347, 13070, 7517, 609, 1310, 519, 7521, 10573, 268, 1475, 268, 1475, 271, 2798, 2008, 347, 8005, 1185, 1732, 2932, 10573, 268, 1475, 268, 1475, 272, 1448, 2008, 347, 295, 611, 1732, 10259, 543, 8239, 10573, 268, 1475, 268, 1475, 272, 1448, 2008, 23277, 1228, 811, 20310, 7440, 10573, 268, 1475, 268, 1475, 274, 2798, 2008, 347, 5825, 539, 519, 1034, 6325, 2959, 10573, 268, 1475, 268, 1475, 273, 2798, 2008, 347, 13707, 2798, 13752, 10573, 271, 1475, 275, 2008, 3725, 3517, 585, 13359, 3375, 281, 9701, 581, 6654, 563, 2791, 616, 711, 14718, 547, 8917, 593, 713, 7521, 454, 1607, 7521, 814, 1044, 27358, 547, 1152, 1450, 17037, 945, 2743, 519, 4170, 1305, 676, 519, 3181, 11596, 269, 901, 7521, 2901, 814, 606, 4432, 334, 6060, 10421, 610, 568, 547, 581, 20366, 593, 676, 513, 2824, 8470, 540, 16488, 269, 0, 3080, 540, 519, 10747, 4162, 540, 10295, 8552, 4524, 630, 32359, 264, 568, 7411, 609, 1893, 543, 2792, 269, 272, 5753, 609, 20284, 781, 12614, 540, 6340, 568, 2356, 16607, 267, 543, 1082, 1453, 609, 20284, 9846, 3132, 1893, 1447, 4749, 543, 540, 2539, 30827, 543, 21342, 6988, 982, 741, 3335, 3384, 630, 31813, 264, 9905, 269, 277, 267, 279, 267, 1321, 267, 2537, 1717, 267, 1453, 609, 20284, 849, 8858, 513, 1713, 1514, 17211, 267, 543, 3173, 543, 19353, 3136, 547, 7521, 519, 6708, 547, 799, 519, 22907, 538, 1514, 5872, 2272, 585, 610, 3565, 547, 519, 22907, 538, 1893, 2504, 269, 276, 267, 1691, 267, 866, 267, 1839, 454, 24092, 1242, 10526, 540, 1893, 538, 1453, 609, 20284, 2356, 798, 1331, 513, 8223, 5057, 282, 2705, 267, 1082, 971, 8223, 4247, 2708, 1175, 835, 2460, 540, 1893, 630, 324, 3052, 1421, 6863, 1070, 276, 610, 1331, 513, 1713, 5179, 5057, 630, 324, 3052, 1421, 15738, 267, 957, 13050, 1070, 543, 5924, 2154, 1453, 547, 22393, 3442, 1063, 513, 1297, 540, 8925, 269, 1452, 2063, 1079, 5615, 616, 1634, 547, 849, 581, 4101, 547, 1453, 609, 20284, 269, 278, 267, 1321, 267, 1724, 267, 1626, 454, 2171, 1459, 513, 1505, 799, 666, 2708, 519, 1893, 8223, 540, 1762, 3335, 3384, 1453, 630, 280, 268, 3607, 3275, 264, 543, 1453, 609, 10295, 269, 273, 267, 275, 267, 280, 267, 1556, 267, 2420, 901, 1505, 267, 5800, 762, 769, 3410, 27567, 2776, 325, 22460, 18391, 630, 303, 268, 7709, 299, 1070, 3785, 2427, 8386, 20933, 3381, 2592, 689, 513, 15291, 5196, 513, 15409, 5496, 269, 634, 3381, 2592, 616, 19610, 1101, 609, 513, 1412, 21353, 5202, 262, 630, 333, 1180, 1311, 532, 264, 8301, 267, 543, 1287, 4843, 1586, 19610, 609, 513, 1412, 11687, 262, 10409, 8301, 602, 13292, 1152, 835, 540, 519, 3381, 2592, 269, 5753, 781, 3750, 5322, 1247, 8384, 519, 3381, 616, 2083, 4364, 543, 2663, 27573, 269, 5753, 945, 1174, 519, 10409, 8301, 786, 1413, 811, 3533, 547, 267, 543, 3476, 693, 267, 519, 3381, 602, 13292, 519, 10409, 8301, 269, 273, 267, 275, 267, 1556, 267, 1240, 267, 2420, 267, 2918, 454, 1607, 17565, 2882, 513, 1297, 540, 3334, 602, 723, 5063, 1044, 9910, 4405, 1242, 630, 2889, 915, 528, 267, 4342, 322, 4650, 267, 7857, 6500, 264, 547, 5512, 2823, 1464, 543, 2653, 14764, 538, 1453, 781, 5321, 269, 901, 568, 513, 2629, 1448, 585, 12570, 1762, 1453, 609, 20284, 267, 945, 616, 4749, 13943, 538, 1007, 630, 324, 3052, 1421, 8047, 264, 5468, 269, 27678, 666, 581, 2813, 547, 2708, 513, 2647, 2039, 540, 1808, 3334, 540, 10409, 1702, 267, 971, 607, 13595, 13305, 8538, 268, 30606, 2262, 1931, 267, 627, 6709, 5465, 267, 543, 13029, 270, 553, 1051, 21879, 525, 593, 13450, 282, 7044, 666, 849, 2708, 3741, 540, 2262, 1565, 971, 607, 513, 10902, 9186, 267, 513, 3337, 9186, 267, 543, 4852, 12519, 18849, 14259, 6137, 269, 1015, 267, 1691, 267, 1704, 267, 2641, 267, 2190, 27678, 1331, 3197, 543, 4633, 602, 616, 11617, 543, 1035, 24065, 1227, 32330, 543, 1134, 7109, 730, 676, 1453, 609, 20284, 563, 866, 13565, 11835, 12717, 15080, 2336, 7417, 294, 16334, 681, 20263, 538, 30003, 543, 589, 20200, 673, 4886, 454, 9743, 4801, 281, 2160, 540, 6115, 267, 2160, 540, 6115, 563, 16978, 549, 775, 13921, 2762, 630, 7417, 294, 264, 568, 606, 2500, 267, 3608, 267, 543, 1875, 514, 15230, 1505, 540, 12570, 543, 10916, 2634, 2534, 269, 9717, 519, 5140, 13796, 6571, 267, 661, 9680, 666, 581, 1031, 547, 4983, 519, 8849, 3210, 1644, 547, 1808, 5615, 267, 2829, 267, 610, 5007, 15128, 269, 1323, 1383 ]

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

[ 3047, 1317, 596, 2461, 711, 2111, 547, 1205, 7722, 538, 707, 1378, 1272, 693, 476, 1911, 10065, 1411, 2141, 1745, 1447, 982, 269, 1924, 519, 1034, 1271, 3364, 568, 1205, 2126, 585, 1010, 4965, 267, 2523, 609, 713, 2085, 563, 288, 3240, 16026, 3081, 281, 9802, 476, 1428, 267, 476, 1708, 273, 693, 476, 279, 281, 1556, 6751, 454, 7069, 8250, 267, 2085, 476, 2537, 267, 8995, 3670, 1296, 3516, 269, 15775, 7850, 6527, 585, 1200, 568, 513, 2760, 268, 2056, 4783, 540, 17140, 543, 594, 993, 538, 17229, 1318, 1631, 269, 4173, 4387, 1095, 32606, 519, 1199, 338, 267, 855, 6142, 786, 711, 3382, 267, 610, 786, 3382, 3368, 540, 1018, 646, 1095, 32606, 269, 2701, 568, 7142, 547, 3442, 1063, 2921, 519, 2407, 9570, 543, 2348, 1079, 4374, 540, 7607, 543, 1287, 2348, 1100, 1199, 338, 543, 12008, 519, 1985, 1079, 4374, 269, 2107, 2921, 3368, 540, 519, 11311, 18262, 543, 4743, 13148, 25805, 585, 476, 1789, 2395, 269, 9453, 519, 6142, 1352, 666, 1406, 6488, 519, 1269, 4366, 276, 3923, 1942, 540, 1200, 1199, 338, 269, 2201, 1283, 540, 602, 267, 519, 31749, 8060, 593, 6417, 6878, 723, 782, 519, 14278, 1235, 9117, 899, 1352, 779, 1175, 3843, 547, 1205, 1164, 269, 898, 568, 513, 2407, 942, 2816, 547, 2119, 547, 21389, 4120, 782, 713, 454, 10387, 1176, 3081, 281, 20606, 476, 3066, 267, 476, 1708, 273, 693, 476, 273, 281, 6795, 7537, 454, 27306, 330, 952, 713, 786, 581, 5363, 855, 267, 16172, 1310, 594, 729, 1101, 8995, 594, 4503, 1250, 6142, 269, 594, 3323, 2469, 547, 513, 4747, 1759, 16758, 538, 1250, 1858, 269, 1358, 1185, 513, 8748, 14799, 972, 602, 14553, 5280, 609, 3478, 1863, 6527, 585, 1004, 1008, 580, 559, 729, 6646, 602, 594, 729, 593, 543, 621, 729, 950, 621, 1101, 3357, 856, 621, 3361, 20733, 540, 1269, 275, 267, 1822, 513, 3923, 543, 519, 2754, 2366, 803, 1863, 1199, 338, 538, 519, 13875, 585, 476, 273, 1296, 269, 16593, 2685, 596, 666, 1265, 513, 2147, 3510, 2282, 1141, 596, 2661, 1522, 1491, 513, 2370, 3787, 540, 1382, 855, 538, 519, 1439, 2436, 1352, 814, 6142, 610, 711, 952, 1352, 3085, 1406, 1118, 513, 1978, 2179, 540, 2724, 789, 786, 948, 1200, 538, 3478, 1200, 1199, 338, 543, 1352, 4465, 1406, 723, 547, 6560, 865, 1454, 269, 6153, 9939, 563, 529, 562, 541, 1723, 548, 10043, 513, 2790, 4576, 910, 8492, 1041, 338, 2593, 3081, 281, 20826, 476, 280, 267, 476, 1708, 273, 693, 476, 276, 281, 6021, 6751, 454, 314, 2507, 316, 23902, 1723, 548, 10043, 1107, 634, 4107, 7201, 3603, 10076, 2657, 918, 14525, 2560, 20965, 309, 514, 340, 3081, 281, 20826, 476, 736, 267, 476, 1708, 273, 693, 476, 277, 281, 6321, 7537, 454, 1607, 27096, 673, 16991, 4524, 267, 898, 779, 1419, 2352, 547, 13209, 855, 972, 616, 8795, 2589, 602, 666, 1491, 942, 547, 13209, 1403, 596, 610, 2576, 596, 917, 568, 10010, 609, 713, 4524, 267, 621, 779, 1271, 547, 3343, 856, 3318, 948, 269, 901, 666, 581, 2352, 543, 14845, 267, 855, 972, 616, 2200, 2139, 547, 948, 269, 1403, 596, 610, 707, 6068, 835, 2115, 1489, 4466, 519, 1318, 5868, 543, 5574, 267, 5225, 3914, 856, 585, 948, 269, 0, 24404, 916, 538, 713, 1305, 630, 1691, 994, 1607, 957, 1500, 519, 1426, 543, 10684, 2920, 811, 3102, 547, 1331, 30143, 269, 634, 957, 849, 11225, 3765, 25912, 532, 610, 13277, 614, 566, 540, 5061, 547, 581, 10363, 267, 901, 957, 3340, 3075, 3549, 547, 1683, 10189, 7696, 338, 267, 7528, 2231, 602, 4356, 268, 14127, 5061, 581, 13042, 834, 16673, 581, 4356, 8108, 257, 2073, 3340, 602, 513, 1007, 3075, 814, 547, 581, 8810, 2922, 896, 15111, 4808, 1354, 6725, 454, 1607, 957, 30193, 10828, 5061, 9638, 637, 5524, 264, 689, 519, 936, 519, 4831, 5061, 630, 5588, 290, 1040, 901, 957, 3340, 3549, 547, 6003, 10828, 5061, 834, 25519, 1081, 281, 293, 3985, 1876, 10238, 1080, 7006, 14819, 1510, 513, 13310, 2580, 3340, 10629, 15569, 585, 519, 6718, 540, 10828, 5061, 269, 4746, 267, 936, 519, 4831, 5061, 1510, 2564, 15569, 616, 2838, 547, 723, 593, 519, 6003, 281, 8605, 8745, 267, 8745, 543, 17372, 540, 10672, 267, 15765, 5820, 267, 9424, 540, 782, 824, 5820, 2436, 3742, 610, 711, 454, 1607, 957, 6908, 6050, 519, 1184, 585, 26587, 13170, 540, 13598, 5061, 269, 898, 849, 2285, 9755, 15314, 547, 1020, 1007, 5061, 676, 4758, 14664, 24909, 269, 901, 957, 2636, 13598, 3075, 3549, 519, 2702, 547, 7048, 593, 3106, 543, 12117, 4681, 540, 606, 3048, 1807, 781, 3075, 1310, 519, 1163, 19418, 540, 519, 14664, 563, 10743, 849, 9763, 454, 8448, 5036, 676, 713, 17082, 454, 8448, 13658, 2280, 5036, 0, 763, 29942, 1849, 1442, 22845, 454, 2690, 519, 1082, 5656, 543, 5238, 602, 723, 8704, 12616, 23234, 538, 741, 6703, 267, 1082, 540, 873, 4440, 10093, 1406, 1185, 519, 4960, 547, 11523, 835, 1930, 547, 1294, 1018, 568, 2731, 12419, 519, 2029, 602, 513, 12616, 9219, 2488, 269, 15223, 7204, 779, 12616, 23234, 616, 3710, 609, 1152, 519, 5207, 2298, 2326, 267, 799, 568, 4553, 676, 9488, 1587, 4152, 1354, 519, 695, 3612, 3762, 519, 7450, 269, 634, 2326, 267, 519, 5547, 12545, 267, 519, 2256, 1392, 267, 543, 519, 1379, 7727, 602, 979, 883, 891, 3457, 616, 865, 5402, 7229, 267, 799, 568, 1946, 15223, 7204, 779, 12616, 1949, 616, 2111, 547, 1683, 6703, 609, 971, 606, 4977, 267, 2943, 5826, 6954, 942, 2707, 269, 12989, 616, 811, 2143, 3137, 540, 1018, 568, 2469, 883, 1142, 543, 1169, 12616, 9219, 602, 15223, 7204, 7472, 563, 272, 269, 634, 2013, 454, 3080, 540, 519, 1034, 1271, 2694, 7282, 15006, 568, 519, 2013, 1031, 585, 519, 9219, 269, 15223, 7204, 3096, 1164, 7779, 589, 7034, 602, 666, 16641, 3592, 1022, 6057, 267, 2436, 519, 1604, 568, 513, 6413, 267, 1153, 267, 610, 513, 5663, 2030, 269, 901, 14463, 2013, 849, 814, 519, 2816, 540, 7863, 519, 1271, 2028, 1023, 540, 519, 9219, 602, 1832, 621, 5665, 5265, 563, 273, 269, 634, 12627, 454, 5194, 1271, 851, 950, 621, 2501, 547, 15006, 568, 519, 12627, 269, 2755, 1082, 15712, 946, 10464, 5068, 610, 4837, 585, 519, 4395, 540, 741, 9219, 267, 15223, 7204, 3096, 513, 1570, 1572, 4874, 21666, 622, 269, 901, 1570, 568, 695, 2660, 31383, 267, 865, 4376, 602, 2501, 538, 3346, 609, 519, 4395, 540, 519, 9219, 786, 711, 2014, 519, 9219, 3068, 547, 2736, 883, 513, 2929, 4773, 269, 901, 1570, 568, 2178, 2614, 267, 602, 596, 1223, 1491, 15223, 7204, 779, 12627, 267, 2322, 621, 593, 519, 2666, 543, 7914, 593, 621, 7683, 267, 543, 596, 9327, 1406, 581, 2111, 547, 2736, 621, 563, 274, 269, 634, 3350, 454, 763, 2295, 267, 519, 24039, 267, 519, 5057, 602, 8952, 519, 3946, 3001, 693, 606, 4977, 10605, 568, 519, 9219, 3350, 269, 15223, 7204, 779, 5322, 616, 540, 519, 5207, 2298, 267, 5885, 606, 5863, 569, 1970, 5821, 2557, 267, 543, 3001, 7561, 547, 1683, 1279, 3856, 6007, 1272, 630, 276, 268, 279, 1296, 1916, 275, 269, 634, 5547, 4604, 454, 306, 320, 7204, 8030, 723, 2919, 606, 12746, 9219, 5547, 4604, 865, 4359, 267, 519, 6735, 3112, 5635, 269, 1635, 2348, 519, 2702, 547, 6494, 543, 4309, 513, 12616, 5365, 1369, 922, 8953, 267, 1142, 9219, 779, 5547, 4604, 2636, 519, 17513, 547, 957, 607, 513, 4735, 831, 1369, 519, 4890, 9219, 269, 901, 786, 4163, 519, 5365, 20991, 543, 6793, 267, 543, 6038, 2870, 513, 17450, 3060, 1369, 519, 9744, 540, 799, 621, 568, 8704, 563, 763, 12616, 9219, 689, 15223, 7204, 568, 1454, 811, 982, 519, 9219, 596, 1175, 13793, 593, 519, 3774, 269, 634, 1646, 543, 5647, 2322, 883, 713, 9219, 949, 711, 10880, 606, 1367, 693, 1101, 8289, 540, 519, 3926, 267, 855, 1310, 2921, 513, 6251, 1413, 543, 6148, 1256, 25305, 621, 1930, 267, 596, 3580, 1265, 15223, 7204, 779, 3646, 1025, 520, 14688, 2429, 269, 0, 1432, 568, 606, 3662, 3868, 1807, 543, 875, 547, 1831, 835, 454, 2710, 596, 723, 513, 2178, 2078, 609, 2831, 286, 1403, 865, 267, 596, 1522, 1616, 547, 1831, 606, 3662, 3868, 1807, 2336, 27154, 3868, 2209, 616, 1004, 945, 666, 5968, 7658, 12949, 1227, 609, 2831, 267, 543, 789, 666, 1419, 1683, 5813, 883, 1018, 519, 2831, 616, 3206, 610, 4743, 563, 7212, 519, 5578, 949, 3100, 12357, 547, 930, 267, 3662, 3868, 2209, 2161, 621, 568, 3274, 513, 2339, 540, 6679, 707, 2247, 543, 25122, 538, 547, 519, 3662, 779, 4555, 563, 2252, 596, 2461, 5461, 538, 1565, 811, 827, 713, 2189, 5578, 267, 1224, 593, 2336, 1432, 568, 606, 3662, 3868, 1807, 543, 1018, 798, 789, 798, 454, 27154, 3868, 2209, 616, 2043, 945, 3409, 547, 581, 2111, 547, 5968, 609, 2831, 269, 901, 1106, 540, 2792, 568, 2356, 26068, 267, 543, 621, 949, 4125, 7658, 15797, 267, 804, 1515, 341, 1195, 766, 267, 610, 3274, 513, 2620, 1620, 540, 3662, 2623, 563, 27154, 3868, 2209, 1419, 960, 609, 4620, 5411, 547, 948, 873, 1732, 1174, 741, 3662, 15274, 269, 1358, 949, 849, 1683, 5583, 593, 8965, 2042, 267, 1072, 2152, 267, 610, 824, 6927, 563, 4407, 519, 2856, 540, 3662, 3868, 2209, 949, 3100, 2484, 1922, 564, 3481, 547, 930, 267, 972, 568, 1100, 3621, 2963, 602, 621, 568, 711, 2009, 269, 10960, 3868, 2209, 2161, 789, 616, 2111, 547, 1921, 609, 2831, 593, 513, 4514, 1377, 267, 543, 1082, 1004, 3494, 789, 723, 5280, 2087, 519, 2729, 540, 1312, 2831, 543, 741, 5411, 563, 1692, 1281, 3662, 2792, 960, 454, 27154, 2792, 568, 606, 11212, 1950, 543, 4241, 1641, 269, 2755, 649, 1419, 1589, 540, 2792, 607, 1945, 602, 3340, 1913, 267, 2831, 616, 5827, 540, 14379, 538, 513, 3099, 540, 2081, 563, 24058, 10291, 616, 606, 1271, 1106, 540, 2792, 585, 1082, 2831, 267, 1519, 1312, 1560, 1893, 543, 11132, 7215, 269, 1280, 1383, 267, 513, 2915, 949, 530, 698, 922, 2766, 547, 5815, 8788, 267, 1247, 513, 3032, 949, 2895, 922, 1394, 547, 5815, 14699, 563, 306, 895, 6786, 616, 849, 1455, 267, 543, 666, 1491, 519, 1106, 540, 1312, 13047, 3074, 543, 1875, 8686, 5914, 4992, 269, 700, 687, 267, 585, 1383, 267, 946, 887, 1513, 547, 7682, 17282, 267, 1247, 5017, 669, 597, 335, 547, 4482, 29982, 563, 30469, 16371, 6786, 616, 849, 1031, 676, 1082, 2831, 267, 2523, 1346, 609, 513, 2178, 2631, 540, 9329, 269, 17268, 267, 585, 1383, 267, 946, 20416, 15374, 547, 1665, 741, 8513, 269, 10960, 2792, 568, 606, 11212, 9867, 543, 1950, 2361, 267, 609, 1007, 8906, 782, 519, 942, 563, 1692, 547, 1831, 606, 3662, 3868, 1807, 454, 27154, 3868, 2209, 616, 1004, 945, 616, 2111, 547, 1921, 609, 2831, 593, 513, 5289, 1377, 267, 543, 1174, 741, 4555, 543, 4606, 269, 4014, 930, 1004, 616, 4535, 609, 713, 2702, 267, 621, 568, 1945, 4896, 666, 1451, 269, 3371, 616, 930, 4388, 593, 875, 547, 1831, 606, 3662, 3868, 1807, 912, 268, 1975, 754, 942, 1472, 2831, 269, 634, 811, 942, 596, 6108, 1472, 2831, 267, 519, 4443, 621, 786, 581, 547, 1140, 2317, 547, 741, 1648, 269, 1975, 754, 942, 11287, 873, 543, 2119, 547, 1174, 741, 1560, 1893, 543, 13047, 3074, 563, 268, 19415, 547, 707, 20932, 269, 1879, 596, 616, 1472, 2831, 267, 2628, 3007, 547, 1022, 8937, 4606, 610, 16022, 4555, 602, 2097, 547, 596, 269, 1452, 949, 581, 6835, 689, 519, 3662, 3294, 563, 268, 3763, 513, 9066, 2259, 269, 25990, 2337, 9602, 707, 2247, 543, 2306, 621, 4443, 547, 19820, 883, 519, 3662, 779, 1648, 269, 8347, 7836, 476, 1015, 268, 1428, 3764, 1142, 1554, 538, 16563, 267, 2519, 593, 707, 7244, 563, 268, 6657, 14839, 269, 10960, 2792, 1419, 4523, 593, 513, 2790, 1377, 267, 865, 621, 568, 1271, 547, 24917, 707, 14839, 1983, 269, 6657, 3182, 1005, 1919, 5693, 538, 707, 2247, 267, 543, 1294, 952, 596, 666, 4584, 909, 3877, 827, 519, 3662, 779, 5920, 610, 1604, 563, 4415, 930, 2259, 267, 4896, 666, 1451, 875, 547, 5968, 609, 2831, 269, 1635, 6679, 909, 713, 1899, 540, 2792, 267, 649, 666, 15052, 938, 4276, 609, 782, 540, 2470, 563, 763, 2640, 540, 4742, 606, 3662, 3868, 1807, 454, 27154, 2792, 568, 513, 6385, 3395, 2361, 609, 1082, 2640, 269, 10960, 3868, 2209, 948, 8115, 519, 7934, 1063, 3425, 543, 2831, 267, 3246, 513, 4514, 1377, 540, 1620, 543 ]

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

[ 0, 2710, 711, 24495, 545, 1125, 267, 896, 1467, 267, 610, 2322, 10530, 1472, 519, 10643, 540, 10156, 1568, 1369, 3476, 1568, 269, 12700, 593, 11711, 267, 5549, 269, 8585, 26713, 268, 31812, 781, 1908, 326, 5573, 8675, 476, 1015, 628, 1196, 269, 634, 5022, 1058, 581, 519, 1482, 2450, 543, 2511, 607, 519, 1964, 540, 519, 3561, 476, 1321, 1448, 13944, 563, 17484, 519, 2361, 609, 513, 1974, 269, 1280, 513, 2143, 4901, 593, 19696, 4930, 543, 824, 12326, 538, 1974, 25025, 267, 5225, 1294, 3848, 476, 276, 269, 901, 1985, 3296, 2488, 1344, 547, 948, 596, 5265, 2497, 543, 10891, 519, 4408, 540, 4589, 538, 824, 4654, 563, 2691, 596, 616, 1603, 707, 1867, 267, 596, 786, 946, 519, 2959, 538, 707, 15853, 547, 7618, 596, 540, 1114, 5013, 543, 4282, 1344, 596, 1031, 585, 707, 2257, 4023, 1788, 269, 2201, 519, 3163, 6844, 625, 3896, 649, 946, 519, 1739, 4808, 281, 1306, 596, 1265, 713, 1344, 621, 786, 581, 1271, 585, 596, 547, 2328, 1524, 1141, 519, 2959, 616, 689, 563, 17730, 519, 9980, 1845, 634, 2407, 11239, 13366, 2196, 2059, 519, 2451, 2427, 540, 519, 1957, 267, 2059, 519, 835, 10759, 14345, 269, 1403, 519, 1592, 8255, 5196, 519, 1985, 2985, 1310, 602, 267, 621, 1131, 581, 2985, 476, 280, 269, 3509, 8874, 543, 9413, 267, 585, 3236, 267, 2253, 609, 519, 2140, 267, 2094, 1100, 2278, 568, 1459, 269, 3371, 568, 875, 519, 2407, 17090, 1568, 11855, 3896, 7127, 1131, 1413, 593, 519, 2985, 281, 9255, 513, 5595, 2230, 2630, 519, 2140, 543, 519, 1101, 11239, 593, 519, 2985, 563, 293, 2393, 16694, 610, 7736, 16694, 1383, 476, 272, 8176, 631, 269, 634, 1974, 673, 2140, 568, 2196, 538, 2140, 2013, 267, 543, 568, 4553, 676, 519, 4320, 1297, 799, 267, 609, 519, 2140, 267, 568, 849, 24495, 545, 1242, 563, 2791, 949, 849, 1331, 2009, 6286, 540, 707, 1382, 543, 2104, 960, 596, 1294, 4448, 609, 707, 4681, 269, 1403, 782, 540, 519, 1344, 538, 513, 5037, 3357, 689, 519, 1482, 2985, 540, 519, 1482, 2707, 610, 733, 27631, 3817, 540, 519, 1482, 2707, 267, 596, 1152, 991, 547, 13712, 519, 2063, 4845, 538, 602, 5037, 563, 1103, 634, 1007, 22605, 12766, 24628, 5292, 269, 901, 3391, 5205, 519, 4808, 538, 741, 1699, 7160, 267, 799, 568, 519, 476, 279, 628, 7160, 269, 17677, 2230, 1142, 1899, 269, 12989, 616, 3044, 12043, 543, 1806, 585, 2596, 12190, 4919, 1344, 5227, 676, 519, 1977, 16723, 5948, 14905, 563, 21607, 538, 4009, 23049, 1496, 9948, 1271, 1344, 596, 723, 3773, 602, 568, 711, 1336, 538, 519, 2707, 11855, 269, 1677, 13712, 513, 2707, 267, 3274, 2322, 519, 2278, 781, 2012, 543, 519, 4266, 540, 519, 8313, 538, 24324, 8191, 267, 4266, 538, 707, 1257, 269, 2422, 540, 713, 3135, 13054, 10343, 540, 938, 2474, 543, 2175, 540, 4023, 946, 563, 20278, 513, 1974, 1310, 519, 14656, 2385, 4185, 269, 589, 9255, 538, 519, 6129, 269, 901, 1570, 949, 711, 581, 3370, 267, 25735, 267, 13739, 267, 17370, 9287, 267, 610, 23799, 30744, 1510, 10479, 269, 1473, 550, 476, 276, 5624, 610, 3368, 606, 10759, 585, 519, 2034, 543, 7766, 3515, 540, 11239, 563, 4002, 513, 960, 11855, 2985, 538, 17090, 267, 621, 1131, 581, 10268, 607, 281, 2334, 568, 1946, 1142, 2707, 596, 946, 1590, 581, 7396, 538, 513, 2143, 15853, 609, 2614, 1344, 585, 2576, 547, 979, 543, 1265, 621, 676, 2933, 563, 1103, 7672, 568, 513, 2707, 9003, 2854, 676, 835, 540, 519, 1071, 2246, 4243, 3627, 808, 800, 543, 513, 2707, 676, 3627, 808, 800, 609, 513, 1114, 1071, 10461, 267, 589, 854, 631, 976, 523, 563, 2005, 568, 1271, 547, 1118, 946, 540, 1699, 2959, 543, 547, 5693, 1174, 875, 547, 13712, 1142, 4704, 1031, 269, 7402, 21840, 13129, 7732, 269, 1280, 1022, 824, 946, 267, 5225, 3346, 3163, 6844, 625, 269, 1879, 19696, 513, 4214, 689, 513, 8675, 267, 1039, 519, 28008, 4347, 563, 3891, 731, 1022, 1434, 2835, 25015, 269, 8437, 1934, 585, 606, 17090, 1568, 11855, 3391, 676, 634, 2160, 540, 3840, 267, 799, 3568, 1344, 827, 1785, 1005, 1312, 2010, 540, 8100, 538, 17856, 543, 2407, 8100, 269, 1403, 972, 616, 476, 275, 610, 1447, 5022, 538, 519, 3923, 267, 552, 269, 8191, 4408, 616, 2854, 2063, 2012, 1101, 282, 1647, 4408, 610, 1647, 3355, 338, 1246, 519, 1101, 2012, 281, 8074, 849, 602, 972, 568, 1100, 1974, 1310, 519, 3923, 563, 2252, 513, 1974, 673, 2882, 513, 4320, 1297, 267, 24495, 545, 1125, 621, 543, 1287, 2285, 519, 2985, 2039, 538, 2834, 1826, 1510, 834, 653, 269, 1411, 666, 946, 519, 31639, 8018, 547, 948, 596, 267, 1175, 1820, 856, 513, 1906, 12215, 543, 1491, 873, 609, 596, 547, 519, 5399, 563, 30952, 713, 1592, 540, 2959, 786, 1831, 707, 15853, 269, 4107, 3610, 1616, 596, 547, 723, 693, 2547, 1614, 2854, 2959, 540, 1344, 563, 2237, 1524, 267, 2584, 665, 4878, 267, 610, 269, 4924, 476, 1724, 267, 5788, 1215, 547, 3503, 513, 31639, 269, 769, 713, 9137, 281, 9137, 12834, 12726, 24157, 13132, 5675, 606, 14905, 31639, 5675, 513, 17090, 31639, 5675, 513, 595, 5960, 31639, 7991, 1627, 26031, 269, 1879, 596, 2328, 513, 1957, 610, 513, 1433, 267, 621, 781, 1271, 547, 1331, 513, 15853, 269, 589, 15853, 6645, 707, 5467, 1018, 2959, 596, 4312, 1031, 260, 263, 2767, 1916, 1103, 17856, 14327, 10332, 3988, 547, 11855, 1570, 543, 2995, 873, 4010, 1141, 547, 979, 543, 1413, 269, 1452, 14327, 960, 538, 14966, 609, 513, 15853, 563, 29995, 267, 606, 538, 17856, 11239, 568, 513, 4999, 540, 513, 2012, 630, 17141, 519, 2278, 779, 264, 543, 513, 1297, 630, 32355, 513, 1032, 267, 513, 2985, 1297, 267, 610, 1312, 1040, 13536, 713, 1592, 540, 2959, 786, 1831, 707, 15853, 269, 4107, 3610, 1616, 596, 547, 723, 693, 2547, 1614, 2854, 2959, 540, 1344, 563, 2237, 1524, 267, 2584, 665, 4878, 267, 610, 1820, 519, 1739, 1344, 585, 1142, 2707, 596, 1265, 269, 623, 17803, 715, 9331, 21612, 22829, 264, 5675, 513, 31639, 538, 17090, 13910, 282, 18040, 2969, 4959, 589, 19739, 13993, 296, 24209, 888, 288, 15853, 267, 28069, 27235, 5219, 547, 607, 513, 3718, 24764, 1592, 267, 568, 513, 28094, 540, 1169, 2707, 602, 729, 8246, 630, 31347, 26518, 538, 519, 1957, 610, 711, 264, 1247, 15388, 1570, 585, 513, 1957, 563, 23777, 1227, 267, 513, 15853, 786, 1331, 281, 634, 2347, 2012, 540, 519, 269, 5675, 513, 15853, 568, 2653, 676, 1739, 519, 3898, 13890, 538, 713, 2376, 269, 6258, 875, 547, 5265, 13712, 1114, 2200, 538, 519, 15853, 540, 513, 1382, 1957, 267, 543, 875, 547, 3898, 1346, 14327, 267, 585, 2835, 267, 679, 9871, 2664, 553, 267, 8874, 267, 7270, 267, 543, 1004, 563, 11133, 2730, 1806, 543, 3137, 585, 782, 2707, 2010, 32289, 547, 2328, 513, 15853, 609, 2985, 2338, 0, 17582, 19298, 1280, 18014, 1315, 5988, 476, 1839, 267, 476, 1708, 272, 1315, 18498, 5984, 9995, 619, 563, 14503, 1662, 6486, 960, 538, 513, 6073, 602, 10453, 1131, 6157, 1745, 899, 789, 616, 4730, 513, 3014, 543, 849, 711, 6313, 538, 782, 269, 898, 568, 606, 11791, 1505, 547, 3653, 942, 1247, 4466, 856, 2241, 8239, 543, 849, 5053, 6863, 1510, 513, 17570, 20193, 568, 849, 606, 5140, 19583, 547, 695, 28984, 519, 6486, 1142, 942, 596, 2490, 873, 936, 269, 19227, 596, 949, 2253, 547, 1265, 856, 519, 2262, 3126, 607, 10353, 547, 519, 4890, 16627, 269, 1635, 1818, 5053, 18044, 11568, 676, 3257, 713, 267, 596, 11129, 547, 723, 519, 2702, 547, 1451, 13977, 547, 17288, 6486, 513, 1554, 952, 596, 1246, 713, 5796, 563, 7197, 28082, 24762, 763, 2601, 1946, 5053, 15460, 616, 1500, 946, 540, 865, 6707, 568, 1317, 789, 616, 513, 11791, 543, 849, 2731, 3551, 1505, 547, 3314, 6863, 543, 2596, 8239, 607, 1134, 607, 616, 8449, 2500, 538, 4543, 1312, 3214, 543, 6738, 5725, 7567, 20193, 814, 2965, 1044, 5941, 602, 15460, 666, 581, 1031, 585, 1312, 6738, 5725, 607, 1134, 607, 19920, 789, 723, 2965, 5097, 1044, 1500, 946, 540, 585, 3450, 3214, 269, 8866, 7363, 1265, 621, 513, 2603, 4443, 547, 12314, 2592, 609, 1913, 543, 713, 568, 1946, 513, 1297, 540, 519, 15460, 596, 786, 1995, 786, 4183, 2262, 4143, 6337, 267, 713, 849, 11226, 538, 21927, 19920, 1317, 789, 786, 6157, 581, 1256, 811, 18906, 633, 585, 1454, 3476, 543, 849, 786, 4061, 10536, 513, 2603, 1732, 5413, 563, 303, 1112, 999, 1656, 16103, 20155, 540, 5131, 15026, 18014, 15350, 10632, 30475, 16443, 545, 3069, 6656, 14259, 1424, 5961, 585, 9656, 330, 573, 1535, 2643, 25869, 6656, 1660, 1112, 22351, 2238, 26078, 1041, 16968, 572, 6470, 18551, 3211, 325, 21209, 12805, 4976, 4134, 2284, 27959, 524, 785, 699, 12848, 7801, 3817, 276, 2370, 6802, 9469, 6648, 531, 8224, 1820, 8083, 585, 23021, 454, 2791, 631, 697, 9827, 6145, 454, 32306, 2659, 31400, 593, 5131, 15026, 18014, 15350, 10632, 454, 305, 12442, 24199, 5131, 15026, 18014, 15350, 10632, 10403, 15026, 18014, 15350, 10632, 723, 12773, 815, 476, 5952, 856, 540, 476, 1911, 1759, 593, 476, 6924, 272, 3593, 16863, 0, 763, 27428, 540, 519, 1715, 4789, 10125, 1185, 606, 7357, 1114, 5692, 689, 519, 11918, 652, 1144, 13896, 269, 22518, 10456, 538, 4789, 543, 519, 2136, 2276, 267, 476, 1960, 276, 269, 1306, 519, 8830, 30808, 1305, 827, 552, 6362, 856, 741, 6668, 538, 12590, 538, 519, 2038, 476, 8182, 271, 338, 267, 789, 6923, 1185, 547, 20630, 930, 2101, 2042, 281, 5883, 547, 3489, 1426, 267, 8165, 741, 14763, 585, 2244, 543, 267, 540, 1576, 267, 2870, 513, 8830, 11939, 10571, 3009, 269, 634, 1715, 4789, 10125, 540, 12590, 267, 21086, 267, 1715, 24900, 267, 543, 29049, 6816, 941, 8547, 607, 513, 851, 2588, 26508, 4603, 543, 851, 5010, 14679, 269, 476, 8182, 271, 268, 11260, 275, 281, 17151, 18887, 267, 4317, 12367, 267, 543, 22960, 281, 11137, 6196, 2622, 31654, 1682, 269, 634, 1101, 1715, 4789, 619, 3710, 10034, 540, 17401, 7265, 1229, 8075, 543, 1507, 10651, 269, 634, 8301, 267, 12383, 267, 6337, 267, 543, 7044, 616, 20295, 9944, 519, 2923, 10697, 267, 4849, 585, 30572, 2592, 267, 799, 3622, 3095, 547, 1776, 2985, 602, 3568, 519, 2923, 5491, 269, 3864, 21152, 3357, 547, 3013, 609, 10054, 827, 1018, 27648, 513, 1434, 2777, 267, 1920, 267, 3484, 267, 2146, 267, 1426, 267, 543, 9913, 269, 1715, 10425, 941, 5189, 267, 10217, 267, 7401, 543, 6995, 269, 1635, 476, 14341, 271, 267, 519, 5452, 585, 513, 1007, 2486, 267, 3833, 1114, 689, 519, 835, 2907, 3964, 693, 11918, 652, 1144, 267, 941, 12630, 7184, 1369, 519, 20339, 540, 513, 1906, 12703, 23806, 269, 1715, 4789, 568, 519, 9510, 5693, 3989, 3148, 540, 519, 2136, 2276, 267, 543, 621, 2392, 919, 519, 1977, 7169, 676, 811, 982, 476, 5611, 1296, 269, 1809, 1715, 4789, 31188, 2103, 4166, 1336, 2933, 10990, 532, 609, 835, 1776, 269, 31849, 540, 4025, 2446, 602, 10707, 547, 1715, 4789, 729, 865, 7199, 602, 1082, 1004, 2968, 25034, 3293, 22063, 547, 1205, 2066, 267, 855, 594, 7948, 1405, 1265, 513, 1747, 602, 2965, 3081, 875, 7199, 621, 729, 269, 1879, 8361, 24163, 13264, 609, 519, 7826, 5783, 540, 7507, 267, 5289, 1272, 538, 4789, 729, 5828, 593, 922, 1274, 269, 717, 2088, 645, 3073, 807, 267, 2817, 22127, 5980, 772, 2793, 7473, 295, 3036, 22003, 3633, 29187, 308, 13993, 2975, 9569, 4959, 589, 30505, 312, 305, 20846, 17886, 5357, 9569, 32098, 26402, 18983, 3827, 269, 1715, 4789, 16865, 12387, 13293, 267, 2560, 14645, 9736, 1220, 279, 268, 1708, 271, 721, 20931, 3820, 267, 11262, 676, 519, 14412, 8065, 5948, 538, 15740, 267, 8547, 476, 3707, 273, 269, 3690, 520, 23007, 7179, 9177, 1656, 634, 22547, 2986, 1715, 4789, 9085, 476, 14341, 271, 268, 14321, 271, 6736, 519, 9645, 3007, 13991, 547, 519, 15713, 540, 1625, 11939, 10125, 538, 1715, 4789, 267, 5640, 723, 22991, 31680, 1896, 9102, 8778, 338, 602, 4766, 713, 12558, 540, 1686, 607, 1568, 540, 1715, 4789, 3332, 269, 1715, 4789, 781, 9998, 10125, 941, 8105, 2950, 602, 941, 1419, 4092, 2059, 15417, 5757, 2244, 610, 10068, 14252, 4092, 2282, 519, 5836, 269, 17652, 267, 2296, 8830, 30808, 1336, 741, 1259, 547, 922, 24528, 267, 2324, 2509, 519, 2804, 1967, 540, 741, 2950, 267, 7064, 547, 741, 2067, 2631, 540, 2872, 543, 771, 514, 743, 1588, 585, 17195, 269, 9282, 519, 1034, 1271, 3804, 540, 2038, 1715, 4789 ]

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

[ 2185, 1007, 2798, 602, 616, 1142, 1226, 573, 9665, 689, 519, 2016, 2798, 780, 32575, 2798, 602, 960, 780, 2710, 596, 1294, 519, 4806, 286, 1411, 3893, 621, 22924, 781, 513, 7299, 1899, 602, 4422, 998, 519, 30268, 540, 519, 10126, 602, 13462, 519, 1079, 2016, 2798, 269, 769, 824, 1913, 267, 621, 781, 602, 10126, 781, 13902, 20312, 10725, 780, 273, 269, 6733, 3544, 519, 4806, 269, 1411, 2097, 909, 8900, 538, 5153, 476, 273, 269, 6744, 1022, 1448, 711, 593, 519, 13902, 20312, 10725, 540, 1899, 9474, 267, 543, 596, 1294, 602, 621, 781, 711, 1226, 573, 9665, 689, 589, 543, 645, 269, 4935, 267, 596, 723, 1100, 2798, 547, 1039, 563, 274, 269, 6733, 3330, 519, 4806, 269, 23875, 29810, 1934, 267, 2901, 269, 5272, 1448, 593, 519, 13902, 20312, 10725, 540, 1899, 9474, 568, 267, 538, 1249, 267, 1226, 573, 9665, 689, 589, 543, 645, 269, 4935, 267, 1100, 2798, 1058, 581, 16934, 269, 630, 23219, 940, 281, 5213, 1405, 1450, 3054, 547, 1205, 513, 3787, 27823, 543, 18178, 17778, 476, 273, 543, 476, 274, 26695, 275, 269, 8571, 519, 30580, 543, 4766, 621, 538, 1913, 269, 901, 4137, 2982, 519, 30580, 267, 543, 519, 1309, 1632, 3947, 922, 6609, 563, 763, 30580, 540, 2798, 1226, 573, 9665, 689, 1079, 2016, 2798, 568, 519, 13902, 20312, 10725, 540, 519, 10126, 602, 26082, 519, 1079, 2798, 269, 0, 258, 14216, 29719, 540, 524, 2675, 1535, 692, 1692, 547, 1265, 519, 12045, 540, 519, 2016, 1599, 676, 1210, 519, 12045, 540, 524, 2675, 1535, 281, 4542, 267, 476, 272, 1383, 267, 543, 922, 3070, 780, 1012, 16754, 692, 2162, 16754, 692, 763, 12045, 540, 524, 2675, 1535, 267, 1496, 322, 2675, 1535, 316, 22779, 529, 910, 322, 2675, 1535, 28422, 1535, 780, 1012, 7151, 692, 2162, 8827, 692, 344, 815, 524, 2675, 630, 272, 910, 1535, 273, 264, 568, 513, 12432, 1599, 540, 454, 344, 815, 524, 2675, 630, 3369, 1961, 264, 543, 630, 3369, 1961, 264, 815, 476, 272, 910, 1535, 273, 780, 3383, 519, 12045, 540, 519, 12432, 1599, 568, 2676, 1492, 12045, 540, 519, 9018, 1599, 524, 2675, 630, 272, 910, 1535, 273, 1070, 910, 322, 2675, 630, 272, 910, 1535, 273, 264, 28422, 630, 272, 910, 1535, 273, 994, 9392, 2676, 1492, 12045, 540, 519, 6418, 1599, 476, 272, 910, 1535, 273, 267, 910, 273, 343, 272, 780, 268, 8987, 273, 343, 272, 264, 815, 476, 273, 343, 692, 3383, 519, 1318, 2427, 568, 476, 273, 343, 524, 2675, 630, 272, 910, 1535, 273, 264, 28422, 630, 272, 910, 1535, 273, 6393, 3383, 476, 273, 343, 524, 2675, 630, 272, 910, 1535, 273, 264, 28422, 630, 272, 910, 1535, 273, 264, 568, 519, 12045, 540, 524, 2675, 630, 272, 910, 1535, 273, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1379, 3287, 267, 562, 2187, 825, 1948, 7490, 1039, 707, 3009, 1934, 454, 825, 1780, 692, 258, 6301, 454, 5228, 19523, 1104, 1305, 516, 15479, 542, 3916, 527, 454, 3553, 516, 15479, 542, 3916, 527, 263, 8099, 876, 994, 343, 267, 562, 284, 4289, 17301, 9217, 264, 585, 1775, 538, 3403, 14061, 29328, 14061, 20889, 3488, 1412, 4917, 2745, 9638, 1077, 3287, 267, 562, 4917, 0, 258, 9046, 9517, 476, 476, 4510, 8585, 613, 23037, 454, 3698, 19467, 31374, 19906, 267, 1376, 267, 1439, 2187, 825, 2450, 284, 754, 3613, 691, 454, 825, 952, 2450, 27045, 272, 912, 1038, 2132, 454, 825, 4571, 815, 630, 11034, 266, 754, 264, 2260, 273, 454, 825, 19467, 31374, 19906, 267, 1376, 267, 4571, 994, 825, 19467, 31374, 19906, 267, 4571, 267, 1439, 2020, 825, 1948, 300, 10235, 5565, 590, 9285, 8638, 454, 825, 1267, 815, 1496, 271, 316, 2608, 2450, 454, 825, 1775, 284, 11034, 454, 825, 795, 284, 13232, 454, 825, 737, 284, 271, 454, 825, 1247, 9217, 283, 13232, 543, 795, 283, 754, 2187, 1038, 952, 19906, 5157, 316, 283, 1551, 14728, 316, 2187, 2018, 1267, 25208, 316, 815, 2855, 5157, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1267, 25208, 316, 815, 2855, 14728, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 795, 6834, 476, 272, 454, 825, 1247, 9217, 283, 13232, 2187, 2018, 1267, 25208, 316, 815, 2855, 5157, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 1775, 6834, 476, 272, 454, 825, 1247, 27203, 283, 754, 2187, 2018, 1267, 25208, 316, 815, 2855, 14728, 2639, 2018, 737, 6834, 476, 272, 454, 2018, 795, 6834, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 21653, 2187, 1038, 2855, 314, 11034, 266, 328, 316, 815, 1267, 5157, 6540, 258, 6301, 454, 333, 25507, 9272, 15405, 1551, 284, 4289, 17301, 9217, 264, 585, 1775, 538, 3403, 14061, 29328, 14061, 20889, 3488, 1412, 4917, 1067, 613, 31374, 19906, 267, 476, 271, 267, 562, 994, 1721, 1003, 538, 2855, 912, 825, 1820, 16325, 267, 1439, 8782, 30386, 2745, 4590, 0, 258, 9046, 9517, 281, 476, 5379, 274, 454, 322, 815, 3403, 3890, 314, 271, 2639, 604, 18011, 320, 262, 27045, 524, 543, 524, 10922, 1412, 345, 262, 2187, 825, 856, 815, 476, 271, 454, 19197, 18011, 288, 262, 27045, 524, 543, 524, 10922, 1412, 313, 262, 2187, 825, 856, 815, 476, 272, 454, 12828, 912, 825, 856, 815, 910, 272, 454, 2745, 263, 719, 994, 0, 2745, 630, 18257, 1411, 4283, 513, 4158, 4055, 609, 1079, 9885, 563, 2710, 596, 979, 998, 7450, 1948, 272, 267, 7450, 1948, 273, 610, 7450, 1948, 274, 286, 5257, 17210, 21830, 815, 3403, 2891, 285, 834, 2020, 604, 7450, 2652, 834, 272, 13426, 825, 1820, 2891, 2467, 781, 513, 9649, 7703, 1934, 4189, 513, 10381, 14735, 23528, 825, 1820, 2891, 1432, 798, 596, 798, 286, 315, 333, 476, 272, 269, 6875, 519, 14735, 269, 1422, 333, 476, 273, 269, 21115, 600, 693, 519, 7703, 1701, 2020, 825, 7703, 815, 3403, 2891, 285, 834, 2020, 825, 952, 7703, 2652, 834, 272, 13426, 1038, 1820, 2891, 763, 7703, 22655, 707, 3068, 1055, 267, 1631, 596, 666, 1405, 1294, 32405, 825, 8640, 7703, 2652, 834, 273, 13426, 1038, 1820, 2891, 763, 7703, 22655, 707, 7953, 1055, 267, 1631, 596, 666, 1405, 3802, 32405, 825, 3116, 912, 1038, 1820, 2891, 11039, 267, 3257, 2715, 321, 792, 348, 568, 4440, 513, 1434, 3903, 267, 519, 7703, 1522, 3802, 2476, 1701, 2020, 19197, 7450, 2652, 834, 273, 13426, 825, 1820, 2891, 2791, 588, 732, 883, 519, 3845, 693, 519, 11995, 705, 903, 338, 1701, 264, 8931, 825, 1820, 9497, 17445, 569, 538, 4395, 540, 596, 972, 568, 513, 3349, 609, 1614, 26633, 23528, 825, 1820, 2891, 476, 272, 269, 3212, 2851, 5602, 825, 1820, 2891, 476, 273, 269, 623, 8986, 5602, 825, 1820, 2891, 476, 274, 269, 853, 3863, 11241, 5602, 825, 1820, 2891, 6904, 798, 596, 3442, 267, 476, 272, 267, 476, 273, 610, 476, 274, 286, 5602, 672, 692, 825, 1426, 815, 3403, 9497, 285, 834, 2020, 825, 952, 1426, 2652, 834, 272, 257, 610, 834, 273, 13426, 1038, 1820, 2891, 17764, 1100, 267, 623, 568, 585, 8914, 267, 596, 1376, 26390, 3215, 543, 13481, 269, 3502, 519, 1655, 3903, 547, 1118, 256, 19515, 825, 3116, 912, 1038, 1820, 2891, 14187, 3903, 267, 22229, 616, 2407, 540, 23554, 595, 543, 14434, 269, 1411, 1379, 909, 707, 1072, 4567, 10590, 2020, 12828, 281, 1948, 1607, 7173, 340, 12251, 569, 796, 333, 4310, 1267, 568, 1631, 538, 946, 267, 621, 568, 7450, 1948, 274, 454, 825, 1820, 9497, 2791, 7552, 593, 513, 17180, 606, 18417, 588, 629, 3054, 547, 2669, 10590, 9239, 0, 5814, 7793, 4428, 454, 3240, 560, 4428, 269, 20625, 4590, 2745, 30044, 560, 4428, 6745, 9734, 710, 2020, 5035, 3733, 560, 4428, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6745, 9734, 710, 815, 834, 4517, 1631, 513, 8536, 1296, 1063, 3010, 825, 1219, 11945, 4311, 2187, 1038, 1820, 2891, 296, 513, 1362, 344, 13212, 10590, 2020, 258, 13318, 656, 5573, 267, 2147, 547, 1289, 513, 1599, 855, 596, 2811, 10912, 513, 1362, 3079, 454, 2251, 815, 3733, 560, 4428, 4590, 2251, 269, 20625, 4590, 2745, 263, 2251, 6745, 9734, 710, 264, 0, 5228, 621, 1068, 8962, 1104, 1293, 1477, 5228, 15259, 1104, 2493, 1477, 5814, 21795, 607, 19073, 1477, 5814, 4729, 569, 8807, 2682, 318, 16371, 607, 535, 325, 21506, 5814, 4729, 569, 3052, 1429, 318, 15953, 338, 607, 979, 21506, 5814, 26417, 21506, 5814, 7194, 1477, 5814, 4351, 476, 5897, 4206, 815, 19073, 18667, 32269, 2891, 30700, 300, 10225, 27406, 14744, 11907, 815, 17093, 22373, 13043, 23962, 257, 4940, 339, 565, 626, 14052, 258, 14808, 815, 535, 325, 269, 22056, 5091, 626, 7120, 8443, 11907, 3910, 22373, 13043, 24143, 257, 3910, 1397, 318, 7290, 815, 16178, 3418, 258, 14808, 20481, 31476, 11743, 815, 7194, 32557, 16597, 3418, 560, 323, 318, 22563, 2747, 815, 7194, 14714, 22563, 16597, 3418, 2745, 9497, 13614, 2986, 15510, 2433, 14307, 1611, 3418, 2745, 2891, 24092, 8061, 2747, 540, 15510, 2433, 2580, 31901, 318, 22563, 2747, 10142, 3698, 4351, 27133, 15058, 318, 11743, 630, 322, 3300, 8029, 825, 10471, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 630, 271, 267, 4831, 8029, 1038, 4351, 16229, 815, 4351, 27110, 263, 271, 267, 7003, 16597, 9984, 272, 3418, 1038, 1871, 815, 1239, 1496, 12690, 16229, 15947, 1038, 10471, 6910, 263, 7407, 3418, 825, 1611, 815, 7194, 32557, 630, 323, 21648, 564, 3418, 825, 2132, 1611, 476, 5897, 11743, 8217, 815, 1496, 15947, 1721, 1775, 538, 2039, 630, 271, 267, 1911, 271, 8029, 825, 1305, 15058, 318, 11743, 815, 12690, 27133, 15058, 318, 11743, 263, 1911, 3418, 825, 1611, 8217, 6910, 263, 3553, 15058, 318, 11743, 3418, 258, 11743, 815, 7194, 32557, 263, 11743, 8217, 3418, 560, 323, 318, 22563, 2747, 815, 7194, 14714, 22563, 263, 11743, 8217, 3418, 2745, 9497, 13614, 2986, 12726, 17392, 2433, 14307, 1611, 3418, 2745, 2891, 24092, 8061, 2747, 540, 6341, 7204, 17392, 24333, 31901, 318, 22563, 2747, 10142, 14808, 815, 535, 325, 269, 22056, 5091, 626, 7120, 8443, 11743, 8217, 3910, 22373, 22923, 318, 300, 10225, 257, 3910, 19651, 318, 7290, 25716, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 2073, 1611, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 8442, 3418, 14808, 20481, 14052, 14140, 318, 20598, 318, 22563, 2747, 318, 11034, 267, 14140, 318, 20598, 318, 22563, 2747, 318, 754, 815, 1611, 910, 31901, 318, 22563, 2747, 2073, 1611, 1341, 31901, 318, 22563, 2747, 1477, 16149, 318, 20598, 318, 22563, 2747, 318, 11034, 267, 16149, 318, 20598, 318, 22563, 2747, 318, 754, 815, 1611, 910, 476, 273, 2608, 31901, 318, 22563, 2747, 2073, 1611, 1341, 476, 273, 2608, 31901, 318, 22563, 2747, 1477, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 11034, 267, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 754, 815, 1611, 910, 476, 274, 2608, 31901, 318, 22563, 2747, 2073, 1611, 1341, 476, 274, 2608, 31901, 318, 22563, 2747, 1477, 258, 4578, 476, 272, 21506, 4206, 284, 335, 323, 18667, 32269, 3488, 11907, 272, 27406, 20298, 11907, 284, 4206, 9131, 13043, 23962, 262, 4940, 339, 565, 626, 14052, 11743, 318, 4752, 5334, 2217, 318, 821, 284, 560, 520, 2524, 32557, 16597, 3418, 2745, 3488, 11743, 540, 3732, 476, 272, 3299, 11743, 318, 4752, 5334, 2217, 318, 821, 3418, 14808, 284, 742, 269, 22056, 5091, 626, 7120, 8443, 11743, 8217, 3910, 9131, 30700, 7436, 28710, 19651, 318, 7290, 25716, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 2073, 1611, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 318, 4752, 5334, 2217, 318, 821, 2073, 1611, 318, 4752, 5334, 2217, 318, 821, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 5508, 590, 21283, 4041, 21450, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 16149, 318, 20598, 318, 22563, 2747, 318, 754, 267, 2034, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 273, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 754, 267, 3791, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 274, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 14140, 318, 20598, 318, 22563, 2747, 318, 754, 267, 1101, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 272, 13673, 291, 8442, 3418, 14808, 20481, 630, 3418, 345, 23962, 318, 821, 815, 630, 11743, 910, 1611, 318, 4752, 5334, 2217, 318, 821, 8358, 560, 323, 318, 22563, 2747, 1477, 2745, 630, 345, 23962, 318, 821, 10142, 4206, 284, 335, 323, 18667, 32269, 3488, 11907, 273, 27406, 20298, 11907, 284, 4206, 9131, 13043, 23962, 262, 4940, 339, 565, 626, 14052, 11743, 318, 4752, 5334, 2217, 4671, 6851, 284, 560, 520, 2524, 32557, 16597, 3418, 2745, 3488, 11743, 540, 3732, 476, 273, 3299, 11743, 318, 4752, 5334, 2217, 4671, 6851, 3418, 14808, 284, 742, 269, 22056, 5091, 626, 7120, 8443, 11743, 8217, 3910, 9131, 30700, 7436, 28710, 19651, 318, 7290, 25716, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 2073, 1611, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 815, 1496, 11743, 318, 4752, 5334, 2217, 4671, 6851, 2073, 1611, 318, 4752, 5334, 2217, 4671, 6851, 476, 3910, 344, 815, 1496, 271, 267, 271, 269, 2641, 3910, 7154, 815, 834, 6050, 2580, 2012, 815, 834, 10933, 3198, 5508, 590, 21283, 4041, 29375, 302, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 16149, 318, 20598, 318, 22563, 2747, 318, 754, 267, 2034, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 273, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 628, 2273, 318, 20598, 318, 22563, 2747, 318, 754, 267, 3791, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154, 6889, 6050, 2580, 2012, 6889, 4306, 13263, 19181, 667, 14110, 8656, 3582, 476, 274, 13673, 291, 8442, 3418, 14808, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 17342, 14140, 318, 20598, 318, 22563, 2747, 318, 754, 267, 1101, 318, 20598, 318, 22563, 2747, 318, 754, 3910, 586, 17342, 271, 267, 476, 271, 269, 1704, 3910, 7154 ]

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

[ 0, 5149, 476, 272, 281, 4197, 7731, 18868, 543, 17716, 1879, 3213, 1790, 1861, 532, 609, 606, 1401, 945, 814, 5084, 291, 268, 4696, 8461, 692, 1103, 2221, 781, 1158, 267, 3885, 2097, 538, 782, 5546, 543, 7306, 267, 543, 1071, 1790, 1861, 532, 3347, 666, 581, 1950, 543, 4101, 269, 901, 6988, 568, 28659, 950, 835, 2385, 814, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 1070, 849, 1634, 607, 5084, 291, 950, 30759, 568, 711, 1459, 269, 1677, 6330, 891, 2591, 267, 621, 568, 1898, 547, 1174, 1920, 6384, 543, 3347, 1369, 519, 2796, 540, 713, 4524, 269, 769, 713, 1770, 267, 649, 786, 2263, 875, 11838, 5540, 1071, 1790, 1861, 532, 267, 2792, 2994, 267, 543, 2081, 547, 1489, 707, 1126, 781, 1134, 5630, 780, 4089, 589, 281, 4197, 11838, 543, 4706, 8177, 593, 3213, 1790, 1861, 532, 692, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 568, 513, 5778, 16467, 11365, 4524, 602, 5540, 1312, 1453, 543, 4079, 269, 898, 568, 6353, 676, 2589, 971, 607, 7411, 9878, 3007, 267, 791, 6160, 2032, 267, 543, 267, 538, 930, 2665, 267, 30759, 269, 2755, 6646, 543, 8965, 11257, 666, 948, 4383, 891, 2589, 267, 789, 949, 1869, 1764, 3232, 1272, 267, 1519, 1071, 1790, 1861, 532, 3347, 269, 2368, 1883, 3344, 547, 2015, 616, 1384, 272, 269, 12580, 540, 11838, 281, 28150, 5813, 883, 519, 1585, 2589, 540, 11838, 267, 741, 10335, 267, 543, 875, 789, 1522, 1860, 513, 1071, 1790, 1861, 532, 2078, 269, 1280, 1383, 267, 7340, 6888, 610, 771, 32360, 1223, 1291, 547, 21390, 827, 16516, 11564, 610, 3838, 9021, 563, 273, 269, 23369, 543, 9615, 281, 6258, 827, 519, 10368, 1184, 267, 1114, 2126, 3681, 267, 543, 741, 1761, 5222, 593, 1071, 1790, 1861, 532, 269, 5457, 602, 1169, 1268, 609, 11838, 2833, 621, 8335, 267, 865, 25191, 4485, 616, 2629, 780, 4089, 645, 281, 19484, 9442, 12694, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10666, 519, 2278, 12672, 773, 12275, 21884, 568, 513, 7548, 693, 519, 2160, 540, 3703, 12052, 630, 308, 6195, 264, 3427, 540, 16711, 609, 936, 476, 3374, 1296, 540, 1995, 538, 1312, 2565, 1416, 8808, 543, 8808, 2069, 538, 519, 5177, 543, 4516, 269, 1261, 568, 513, 10805, 12016, 543, 6585, 513, 12854, 538, 1344, 2257, 267, 543, 513, 1297, 540, 11285, 4791, 543, 3872, 20340, 269, 1261, 814, 30363, 1896, 2257, 543, 4791, 9499, 267, 11271, 538, 12995, 2835, 607, 1134, 607, 3875, 1382, 4574, 269, 3571, 960, 568, 20690, 2740, 676, 513, 6612, 585, 1072, 2257, 543, 2029, 267, 543, 646, 6585, 21621, 543, 3084, 17758, 585, 1010, 960, 538, 2417, 532, 12016, 2069, 269, 1261, 568, 606, 769, 13774, 1116, 29533, 540, 519, 8225, 29237, 3447, 1807, 4659, 267, 543, 2729, 538, 26551, 267, 3703, 12052, 269, 8791, 594, 25682, 568, 711, 1945, 596, 666, 4444, 3848, 476, 272, 634, 1148, 540, 519, 598, 769, 476, 9610, 275, 267, 3751, 8361, 10001, 540, 4789, 9896, 513, 1876, 1818, 621, 606, 1055, 775, 547, 1711, 4154, 543, 8988, 856, 540, 6094, 2011, 267, 1634, 607, 519, 2048, 8002, 18830, 18527, 9957, 22682, 267, 930, 2864, 9490, 1361, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 23206, 4347, 7228, 13081, 630, 4696, 291, 268, 4696, 8461, 264, 1315, 3213, 6261, 1861, 532, 609, 606, 1401, 950, 2290, 9977, 13201, 11838, 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, 0, 8080, 547, 938, 3408, 540, 2244, 5619, 532, 538, 519, 4070, 2872, 256, 901, 568, 606, 1898, 1900, 538, 1022, 2462, 2679, 1788, 267, 899, 2870, 1007, 3889, 693, 606, 19633, 269, 5620, 596, 2479, 2938, 1346, 1004, 1210, 16681, 2645, 547, 2268, 1919, 3544, 286, 2334, 781, 1018, 5619, 832, 798, 1107, 789, 1491, 7403, 543, 1711, 7851, 547, 948, 721, 1174, 519, 2244, 1732, 1354, 649, 1628, 1945, 593, 621, 269, 2913, 781, 4685, 883, 875, 713, 1568, 2439, 5331, 596, 1616, 547, 1628, 513, 3579, 1007, 19209, 538, 707, 18147, 269, 6969, 4358, 267, 596, 991, 547, 917, 1141, 3388, 4867, 568, 543, 875, 1454, 2230, 972, 568, 585, 707, 15813, 3937, 269, 1411, 1131, 946, 7893, 2645, 547, 1265, 856, 4010, 875, 1279, 543, 2647, 707, 13452, 568, 267, 543, 6148, 1256, 2721, 513, 2241, 4786, 547, 14650, 621, 782, 269, 8092, 5619, 832, 798, 1945, 2147, 950, 4058, 8273, 3785, 899, 29032, 2439, 2467, 616, 1114, 5686, 540, 682, 1162, 630, 528, 11650, 264, 1063, 3959, 5411, 543, 4557, 1218, 945, 1616, 547, 946, 741, 2244, 585, 1808, 5301, 269, 1280, 1383, 267, 4952, 2576, 6499, 547, 10519, 513, 4558, 12506, 693, 513, 32041, 269, 1358, 1522, 1129, 513, 10685, 25755, 267, 799, 814, 922, 1378, 1305, 540, 3652, 827, 9878, 10519, 267, 21338, 909, 519, 1747, 267, 543, 865, 593, 269, 2311, 606, 19633, 267, 972, 1223, 581, 1585, 682, 1162, 1932, 910, 835, 585, 14060, 267, 1776, 585, 18736, 6266, 267, 543, 2943, 1776, 585, 4213, 5665, 3330, 23525, 269, 8528, 3086, 1577, 781, 2911, 827, 8840, 1524, 891, 682, 2084, 6054, 269, 4634, 1498, 789, 949, 1413, 7294, 267, 1169, 25755, 3622, 3568, 519, 1482, 1883, 2694, 269, 4197, 891, 9238, 2337, 3025, 3238, 538, 1818, 3664, 827, 519, 3959, 269, 898, 781, 1175, 899, 6616, 930, 1455, 1913, 543, 8239, 3652, 2306, 2542, 543, 1603, 4443, 2439, 5575, 267, 513, 1434, 25755, 2115, 2312, 1344, 827, 519, 4087, 1373, 682, 1078, 1107, 1589, 540, 621, 899, 21458, 707, 19209, 1374, 4566, 609, 4408, 585, 1142, 1858, 269, 8921, 267, 519, 2924, 543, 9021, 540, 1312, 6105, 1590, 581, 6045, 5693, 269, 5994, 2348, 513, 1592, 540, 26050, 543, 12587, 2854, 1524, 585, 4687, 11645, 609, 707, 3659, 1247, 2324, 1927, 593, 519, 19209, 269, 7053, 267, 3877, 827, 8569, 267, 3259, 540, 942, 4988, 676, 519, 25755, 267, 543, 824, 1271, 2474, 2327, 3025, 17358, 519, 4308, 780, 3383, 3314, 267, 2436, 596, 2811, 8888, 513, 1187, 19209, 610, 3384, 513, 14297, 19633, 267, 2921, 519, 942, 547, 1451, 827, 2244, 5619, 532, 543, 682, 2084, 5849, 1967, 269, 1635, 12270, 891, 1950, 3584, 883, 4130, 4773, 267, 649, 666, 9787, 873, 811, 3362, 543, 4019, 938, 1702, 18390, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19350, 568, 519, 4608, 8091, 539, 3684, 22345, 1257, 540, 713, 3184, 267, 5497, 547, 1683, 938, 1378, 3406, 9817, 543, 5007, 9817, 609, 3810, 3638, 267, 3184, 3146, 30005, 894, 3406, 762, 1257, 540, 1142, 1433, 269, 5221, 621, 568, 6167, 290, 3036, 3918, 6311, 3633, 1570, 267, 5225, 2015, 519, 1739, 1257, 607, 513, 3730, 855, 13385, 21285, 585, 519, 22265, 1433, 3817, 563, 1015, 2755, 513, 25755, 568, 1419, 2808, 513, 1950, 543, 18447, 3561, 676, 519, 3656, 543, 1483, 10040, 683, 4451, 974, 267, 621, 666, 581, 3362, 6956, 543, 2007, 6479, 952, 519, 1367, 3334, 602, 17663, 519, 2898, 616, 7745, 1524, 543, 8947, 538, 1469, 269, 5272, 25755, 267, 7488, 540, 1826, 267, 568, 16922, 540, 1089, 523, 268, 512, 6053, 519, 1482, 4295, 2609, 282, 1620, 519, 1367, 3334, 540, 513, 25755, 786, 1683, 519, 2556, 2679, 7161, 2877, 547, 4020, 543, 14892, 513, 3811, 19633, 25755, 6876, 269, 634, 1101, 3296, 786, 2232, 519, 2596, 2010, 540, 682, 1162, 693, 606, 19633, 543, 519, 4295, 2609, 3769, 538, 1142, 269, 634, 1826, 540, 19633, 25755, 10858, 547, 1142, 6876, 786, 642, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27455, 11752, 532, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 14716, 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, 0, 3848, 476, 277, 281, 4457, 1401, 1636, 654, 732, 1107, 589, 26812, 3215, 28249, 540, 3203, 267, 25642, 267, 543, 24547, 558, 2329, 692, 296, 269, 4985, 692, 2026, 596, 1224, 4505, 538, 938, 1837, 781, 4367, 547, 1884, 2294, 543, 2445, 17156, 267, 28028, 543, 19580, 3180, 513, 2027, 1747, 1851, 28048, 19216, 1813, 547, 741, 3140, 4644, 267, 10347, 23477, 267, 543, 11972, 5898, 269, 769, 713, 3184, 267, 649, 5490, 883, 513, 1880, 1826, 540, 19580, 1634, 607, 4457, 13143, 16292, 267, 799, 3091, 721, 10578, 4030, 883, 519, 1950, 2078, 1063, 1079, 3504, 12977, 910, 3127, 543, 3624, 269, 1635, 3695, 519, 8129, 267, 1646, 267, 1374, 2609, 267, 4123, 6384, 267, 543, 2686, 1764, 540, 4457, 13143, 16292, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 891, 27610, 13742, 1247, 849, 17766, 1769, 593, 875, 789, 4196, 607, 6698, 540, 1312, 9322, 543, 27754, 2429, 1686, 780, 2862, 269, 17959, 543, 4886, 540, 4457, 1401, 1636, 654, 732, 692, 288, 269, 634, 17510, 540, 4457, 28769, 24394, 454, 763, 11944, 540, 4457, 28028, 7389, 1394, 547, 519, 8109, 12390, 19092, 630, 1839, 1700, 13136, 9460, 1070, 4352, 621, 7012, 1405, 2394, 519, 19358, 19092, 630, 277, 1240, 1700, 3445, 278, 9460, 264, 602, 2504, 6603, 1713, 2157, 269, 901, 2038, 28028, 267, 6353, 676, 922, 5386, 3043, 1560, 543, 4837, 344, 1350, 10270, 267, 3533, 6591, 8560, 1369, 3624, 543, 13383, 269, 1306, 3747, 8057, 267, 865, 1705, 5647, 282, 1007, 2553, 899, 896, 6921, 10270, 7206, 4847, 5159, 547, 1711, 5051, 14969, 6272, 780, 289, 269, 7216, 11780, 13705, 525, 454, 3528, 519, 3735, 19358, 19092, 267, 17535, 11507, 4448, 3624, 547, 14913, 5607, 267, 5101, 4000, 267, 543, 519, 5664, 5101, 267, 14123, 519, 3262, 540, 4457, 5370, 2066, 17407, 269, 6259, 18318, 5129, 513, 2629, 1909, 538, 10962, 4457, 23907, 547, 6990, 2059, 519, 11335, 23795, 267, 26354, 1719, 1851, 3864, 6800, 945, 14952, 539, 693, 741, 2298, 543, 25894, 780, 290, 269, 19372, 618, 540, 4457, 1401, 1636, 654, 732, 13870, 454, 7628, 519, 962, 10224, 630, 14096, 272, 1700, 15793, 279, 264, 543, 30721, 630, 15793, 279, 1700, 13932, 275, 264, 30552, 770, 625, 267, 4457, 1494, 1562, 3459, 6721, 4773, 4481, 3358, 547, 5375, 16919, 269, 1452, 3649, 637, 12286, 3982, 5546, 267, 16560, 18305, 267, 543, 2681, 5493, 22863, 602, 524, 23926, 547, 4914, 18046, 267, 7551, 9591, 1018, 1131, 1831, 1634, 607, 4457, 13143, 16292, 269, 808, 532, 1372, 345, 1156, 267, 513, 2749, 12021, 585, 922, 28028, 5663, 2094, 519, 14576, 19092, 630, 31634, 1700, 14096, 280, 1070, 7153, 607, 519, 12473, 10938, 540, 713, 24567, 2872, 780, 7656, 269, 5071, 15689, 543, 29526, 692, 288, 269, 22553, 543, 25609, 454, 2414, 9029, 547, 3486, 7218, 267, 4457, 29048, 2813, 2189, 3029, 971, 607, 2545, 13831, 642, 1162, 267, 8286, 609, 1164, 8520, 20362, 267, 543, 512, 1794, 5633, 6763, 269, 1452, 6272, 1419, 10630, 7506, 689, 9099, 267, 14655, 267, 543, 3864, 17375, 5389, 780, 289, 269, 5463, 20753, 7763, 604, 338, 454, 28082, 4798, 1336, 593, 4457, 13143, 16292, 3769, 27536, 3270, 267, 8916, 267, 29631, 7068, 267, 543, 10207, 6273, 676, 3232, 1272, 269, 2368, 18305, 4371, 1808, 10096, 282, 585, 3236, 267, 22645, 3090, 1242, 1379, 543, 513, 22273, 5534, 1145, 267, 1247, 890, 23888, 6719, 5763, 543, 8956, 780, 290, 269, 7822, 6022, 22863, 454, 15900, 4457, 13143, 16292, 5097, 7604, 1078, 524, 28240, 4544, 896, 6921, 10270, 23732, 1996, 513, 5144, 344, 22554, 4282, 267, 10452, 519, 13283, 585, 4544, 7146, 22554, 23907, 538 ]

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

[ 0, 2171, 4718, 513, 804, 1144, 7555, 593, 1010, 2212, 269, 17451, 568, 849, 1031, 609, 4986, 267, 18864, 585, 1919, 602, 10093, 1405, 5949, 1354, 269, 589, 5731, 558, 1400, 8231, 568, 513, 8231, 799, 814, 513, 16846, 633, 15749, 267, 602, 568, 267, 513, 15749, 13288, 1394, 547, 922, 1641, 269, 898, 4255, 1018, 596, 4121, 593, 519, 10558, 17828, 23120, 2985, 269, 1215, 547, 946, 621, 269, 1703, 616, 1079, 3096, 540, 519, 3943, 1459, 32096, 607, 606, 18781, 610, 607, 513, 8231, 269, 25166, 1679, 519, 5220, 609, 32096, 21291, 269, 7392, 538, 519, 1459, 32096, 269, 4746, 6423, 281, 3487, 545, 2118, 1849, 13415, 16497, 7300, 19405, 540, 519, 11644, 2296, 18049, 20113, 269, 1284, 2356, 946, 519, 1459, 32096, 630, 2056, 538, 910, 532, 264, 547, 2911, 827, 519, 1268, 267, 3364, 267, 610, 3510, 799, 814, 3361, 519, 4743, 281, 3487, 545, 2118, 1520, 16633, 11644, 476, 272, 630, 22372, 593, 519, 1592, 2630, 264, 3487, 545, 2118, 1520, 16633, 11644, 476, 273, 630, 22372, 593, 519, 1592, 2630, 264, 5903, 540, 1455, 910, 539, 543, 910, 532, 21371, 269, 2274, 1300, 6559, 929, 338, 550, 630, 1492, 1459, 32096, 264, 568, 519, 8231, 1106, 602, 7475, 538, 910, 656, 282, 621, 568, 606, 791, 5966, 1106, 267, 865, 3112, 581, 17788, 730, 269, 3487, 545, 2118, 25481, 538, 5220, 910, 4804, 2296, 6732, 910, 11644, 269, 10558, 3501, 2833, 269, 2422, 723, 610, 814, 543, 519, 3791, 1106, 630, 1492, 2250, 32096, 264, 540, 519, 8231, 907, 1284, 4312, 678, 5200, 513, 7504, 269, 8074, 602, 513, 1459, 32096, 666, 3277, 547, 519, 1459, 267, 2250, 610, 2104, 269, 1284, 666, 946, 519, 1459, 3501, 547, 2911, 827, 2833, 538, 938, 2729, 269, 476, 25172, 280, 269, 594, 946, 519, 540, 519, 8231, 547, 1106, 519, 11822, 10558, 269, 3436, 5620, 596, 2479, 1558, 513, 4583, 1268, 15017, 27879, 633, 20429, 281, 10558, 269, 3803, 27901, 1310, 513, 2110, 14129, 20262, 568, 23060, 634, 1126, 2893, 693, 519, 11380, 630, 335, 5593, 264, 513, 4605, 269, 9894, 596, 723, 2938, 1864, 1354, 286, 4894, 519, 2582, 552, 693, 519, 1439, 540, 519, 2262, 1354, 4946, 3824, 630, 338, 527, 264, 538, 519, 12094, 267, 649, 17696, 14735, 543, 1743, 1678, 6995, 269, 3487, 545, 328, 1255, 616, 8231, 3029, 602, 1599, 607, 21371, 267, 17205, 610, 607, 851, 540, 513, 7623, 8231, 512, 5151, 269, 2467, 616, 1614, 5686, 540, 1300, 328, 1255, 538, 2296, 8239, 281, 1459, 32096, 610, 910, 532, 1106, 267, 2250, 32096, 543, 3501, 32096, 269, 2171, 666, 946, 1300, 328, 1255, 547, 1106, 32096, 21291, 799, 2110, 523, 1950, 5220, 907, 1280, 1383, 267, 594, 993, 4189, 519, 7594, 269, 1452, 13450, 616, 3362, 6444, 676, 519, 15749, 694, 1354, 519, 31208, 1438, 281, 694, 11573, 267, 694, 3288, 591, 267, 694, 1596, 10273, 267, 3092, 269, 4329, 3137, 11341, 547, 519, 10558, 32096, 634, 1739, 3137, 616, 1644, 547, 519, 1888, 2422, 543, 5250, 540, 519, 1459, 32096, 630, 532, 27322, 264, 543, 949, 849, 581, 5363, 281, 2422, 543, 5250, 540, 519, 2250, 32096, 282, 3487, 545, 2118, 21291, 282, 11644, 476, 272, 281, 10259, 1459, 32096, 282, 11644, 476, 272, 281, 946, 1459, 6024, 2475, 3633, 23166, 5990, 11553, 2464, 7728, 25783, 293, 17614, 281, 17451, 1797, 1412, 693, 1022, 942, 22207, 519, 1808, 942, 568, 7164, 610, 11991, 267, 543, 568, 1031, 538, 2055, 269, 5999, 609, 3955, 5766, 894, 3487, 2873, 538, 10558, 17828, 11822, 282, 24908, 11644, 593, 10558, 17828, 11822, 282, 11644, 593, 519, 1257, 700, 5255, 715, 612, 7054, 10585, 7638, 2125, 282, 18873, 593, 10558, 17828, 269, 715, 14110, 2207, 269, 3738, 22142, 568, 8385, 513, 19432, 540, 1412, 711, 2479, 1412, 907, 10558, 6024, 13029, 20475, 519, 5571, 2962, 610, 4305, 540, 519, 1459, 269, 5637, 519, 1459, 32096, 543, 519, 2250, 32096, 666, 581, 1031, 607, 21371, 269, 1306, 6362, 2055, 568, 4443, 982, 16460, 873, 269, 20113, 269, 634, 12809, 5639, 1459, 568, 1419, 1031, 547, 4766, 281, 22948, 3689, 519, 13212, 616, 13603, 267, 1287, 789, 616, 19345, 267, 543, 6368, 789, 516, 14095, 543, 25855, 547, 519, 2344, 269, 9894, 596, 723, 2938, 1864, 1354, 286, 1039, 16592, 2987, 23059, 8239, 3635, 281, 1459, 3501, 2241, 5288, 269, 6024, 630, 274, 264, 29329, 8239, 3635, 281, 2250, 2241, 543, 1284, 946, 519, 2250, 32096, 540, 519, 8231, 2854, 568, 519, 2250, 32096, 267, 5206, 568, 519, 2250, 2241, 269, 1548, 568, 513, 32096, 286, 3487, 545, 2118, 1849, 13415, 11644, 269, 3525, 531, 7638, 2125, 540, 17438, 11644, 476, 272, 8437, 1934, 547, 4647, 713, 3635, 538, 7300, 630, 5976, 4267, 264, 5623, 519, 7778, 827, 1110, 1023, 540, 5506, 1934, 10925, 538, 1412, 332, 755, 1341, 31208, 1438, 262, 630, 1721, 1945, 602, 781, 2693, 827, 519, 1459, 264, 610, 1412, 332, 755, 1341, 723, 1341, 2250, 2986, 1576, 267, 972, 616, 1896, 17756, 547, 713, 4341, 269, 10558, 17828, 23120, 13658, 269, 476, 272, 269, 594, 946, 1705, 1341, 711, 1341, 31208, 1438, 540, 519, 8231, 798, 7933, 3996, 1341, 711, 1341, 31208, 1438, 540, 519, 8231, 723, 10774, 553, 1341, 711, 1341, 2250, 32096, 547, 1106, 519, 2942, 269, 5250, 769, 519, 1780, 9152, 267, 5731, 558, 1400, 13450, 616, 17788, 730, 609, 1726, 607, 741, 25581, 269, 6258, 827, 32096, 3029, 538, 2296, 8239, 1548, 2477, 723, 596, 10272, 27085, 476, 274, 269, 769, 713, 3635, 596, 786, 26821, 1210, 519, 2250, 2241, 543, 1459, 3501, 512, 5151, 269, 1039, 3824, 630, 3369, 16824, 264, 513, 5152, 267, 1352, 546, 2331, 998, 519, 2777, 609, 519, 544, 641, 269, 5999, 609, 3955, 5766, 894, 3487, 2873, 538, 10558, 17828, 11822, 282, 24908, 11644, 593, 10558, 17828, 11822, 282, 11644, 593, 519, 1257, 700, 5255, 715, 612, 7054, 10585, 7638, 2125, 282, 18873, 593, 10558, 17828, 563, 307, 2532, 3143, 269, 581, 1044, 1373, 513, 264, 581, 536, 264, 1044, 524, 264, 1373, 269, 1703, 616, 1079, 2010, 540, 1300, 328, 1255, 281, 1459, 32096, 543, 2250, 32096, 269, 476, 274, 563, 21607, 538, 519, 13450, 538, 23049, 607, 1300, 328, 1255, 1459, 32096, 610, 12601, 2207, 269, 1261, 814, 8297, 1441, 1010, 9641, 676, 7296, 269, 8672, 856, 519, 1459, 1300, 328, 1255, 543, 12908, 1495, 338, 538, 519, 1739, 5220, 269, 634, 1459, 32096, 1106, 2141, 7475, 538, 3824, 269, 2701, 18387, 1405, 13881, 521, 25775, 269, 476, 273, 269, 476, 273, 269, 769, 519, 1459, 267, 519, 12809, 5639, 3096, 519, 13450, 568, 543, 616, 1341, 2250, 32096, 540, 519, 1292, 8231, 269, 630, 14142, 264, 585, 1200, 17309, 267, 1352, 25653, 998, 519, 3003, 20758, 549, 2041, 269, 11644, 5528, 269, 634, 4116, 729, 24330, 676, 12253, 338, 960, 267, 865, 1352, 5795, 1864, 519, 5207, 6060, 269, 2422, 519, 1913, 538, 23049, 547, 2322, 1142, 540, 519, 1739, 883, 2901, 519, 2250, 2241, 610, 1459, 3501, 281, 1284, 946, 519, 2250, 32096, 540, 519, 8231, 2854, 568, 519, 2250, 32096, 267, 5206, 568, 519, 2250, 2241, 269, 4937, 4555, 267, 8369, 267, 543, 4978, 594, 4312, 1044, 547, 12868, 269, 1411, 666, 798, 713, 8239, 7688, 2228, 610, 1820, 621, 593, 1957, 269, 476, 272, 269, 476, 273, 269, 28686, 9293, 693, 519, 4090, 1175, 1631, 1318, 1631, 12856, 1315, 16754, 13595, 1341, 568, 270, 600, 270, 732, 1341, 10558, 32096, 11196, 532, 264, 1106, 13595, 630, 296, 264, 993, 10558, 32096, 8987, 532, 11924, 13595, 630, 3891, 24172, 270, 527, 264, 568, 10558, 32096, 8987, 532, 11924, 13595, 630, 2171, 270, 5445, 264, 6341, 2451, 1153, 2038, 1317, 646, 5433, 7210, 269, 11644, 269, 21718, 707, 7015, 543, 11078, 1044, 3478, 2059, 286, 898, 568, 849, 1572, 1459, 11636, 13029, 269, 1879, 268, 532, 3029, 616, 1031, 899, 17205, 267, 789, 616, 1572, 12908, 1495, 338, 269, 476, 272, 269, 3733, 7015, 814, 1558, 1010, 19463, 22256, 907, 1280, 2258, 2510, 267, 946, 711, 610, 2760, 907, 3367, 593, 547, 1451, 782, 827, 682, 1300, 6559, 929, 338, 550, 538, 3943, 8239, 543, 950, 547, 946, 621, 267, 1287, 1449, 3054, 538, 519, 5751, 269, 769, 519, 476, 274, 6113, 1268, 13737, 630, 515, 267, 1352, 267, 621, 264, 2073, 594, 1039, 547, 519, 540, 519, 8231, 543, 952, 519, 8231, 7475, 538, 513, 521, 756, 559, 656, 269, 4107, 13450, 723, 741, 2250, 32096, 1106, 10678, 538, 1196, 610, 679, 269, 630, 12441, 596, 2743, 513, 4583, 1268, 693, 1022, 942, 538, 519, 2250, 269, 898, 814, 21718, 6777, 532, 513, 2603, 713, 3018, 269, 0, 1432, 616, 21118, 16470, 3212, 696, 1938, 630, 295, 7894, 338, 21663, 611, 2381, 454, 295, 739, 8878, 30902, 630, 295, 7894, 338, 264, 616, 513, 1362, 540, 6923, 9648, 6675, 602, 616, 3812, 676, 519, 1560, 547, 948, 4339, 1055, 13596, 543, 824, 5739, 28164, 269, 1452, 30902, 723, 513, 1297, 540, 2189, 3601, 602, 1118, 873, 10694, 10457, 585, 946, 538, 519, 1646, 540, 1007, 5574, 585, 11763, 3676, 543, 824, 1072, 2175, 563, 3080, 540, 519, 1883, 3601, 540, 670, 7894, 338, 568, 741, 2702, 547, 1106, 16822, 760, 987, 545, 3889, 267, 799, 2636, 873, 547, 2170, 609, 519, 1591, 9245, 540, 13596, 538, 513, 1808, 543, 6098, 6073, 269, 901, 666, 1291, 547, 519, 5250, 540, 22405, 538, 519, 9245, 267, 799, 666, 7519, 519, 1599, 540, 519, 19800, 543, 6038, 1291, 547, 922, 2669, 269, 670, 7894, 338, 849, 723, 519, 2702, 547, 12622, 547, 543, 30737, 10675, 513, 2647, 2039, 540, 13596, 267, 1519, 4551, 267, 8290, 267, 543, 13271, 563, 5194, 1883, 3959, 540, 670, 7894, 338, 568, 741, 4187, 547, 12159, 676, 2926, 1162, 267, 11476, 602, 616, 1459, 538, 1082, 13596, 543, 666, 2736, 1524, 824, 2010, 540, 21734, 30902, 269, 901, 2306, 670, 7894, 338, 811, 7123, 543, 3476, 18835, 538, 519, 1560, 267, 799, 666, 948, 547, 2333, 741, 7145, 563, 2467, 814, 1044, 606, 2810, 1719, 538, 519, 946, 540, 670, 7894, 338, 607, 513, 4640, 585, 2870, 968, 745, 13949, 12046, 892, 547, 5563, 269, 901, 3322, 519, 946, 540, 670, 7894, 338, 547, 12954, 519, 4761, 1062, 543, 2087, 922, 2702, 547, 4431, 547, 513, 2647, 2039, 540, 13596, 269, 901, 666, 581, 2944, 676, 28720, 670, 7894, 338, 2047, 547, 519, 1560, 267, 610, 676, 4702, 873, 883, 824, 6675, 610, 2326, 547, 1711, 513, 968, 8243, 691, 892, 4761, 3210, 563, 2005, 568, 1271, 547, 4063, 602, 267, 1247, 670, 7894, 338, 1397, 9153, 538, 519, 8047, 267, 811, 1382, 568, 2877, 547, 3313, 741, 3106, 543, 12117, 538, 3425, 543, 547, 1020, 2409, 585, 741, 1804, 4336, 2504, 543, 7245, 563, 299, 4768, 626, 517, 595, 13702, 9116, 8633, 1107, 634, 968, 8248, 32644, 29831, 7536, 12041, 540, 2048, 8248, 696, 1938, 3657, 5020, 685, 0, 21995, 24205, 14330, 17988, 454, 21995, 24205, 14330, 304, 7300, 910, 11762, 454, 9596, 7169, 13038, 14893, 5999, 630, 30555, 1070, 7169, 7688, 4267, 7300, 547, 1353, 2596, 15257, 2228, 1576, 585, 2596, 15257, 5049, 269, 15154, 5081, 10999, 543, 15154, 3794, 984, 958, 13038, 14893, 5999, 543, 12226, 630, 10157, 17988, 1070, 7169, 7688, 2055, 585, 2228, 27498, 4110, 269, 834, 3725, 23728, 14330, 304, 257, 7300, 3883, 281, 26992, 1032, 540, 476, 1220, 271, 267, 1599, 267, 2486, 543, 2962, 267, 1200, 6975, 838, 27247, 6668, 540, 3514, 11687, 267, 689, 2367, 2090, 547, 14051, 543, 7013, 3069, 1449, 3341, 585, 1863, 2228, 2852, 6030, 563, 257, 6097, 547, 32544, 519, 27742, 543, 3661, 781, 5293, 689, 5108, 547, 5108, 568, 1572, 607, 257, 14330, 304, 7300, 281, 4838, 609, 5079, 2528, 267, 10571, 4806, 267, 2245, 267, 543, 5895, 331, 1436, 585, 2228, 27498, 4110, 269, 5530, 4838, 7688, 2055, 585, 20519, 14172, 1449, 543, 15149, 3292, 547, 1451, 2228, 15149, 6030, 563, 30555, 281, 4340, 547, 32544, 519, 27742, 543, 3661, 781, 5293, 689, 5108, 547, 5108, 568, 1572, 607, 454, 30555, 281, 4340, 547, 14100, 781, 519, 2093, 2523, 4978, 543, 2418, 723, 13321, 454, 30555, 281, 634, 1152, 1259, 856, 540, 519, 15972, 540, 16851, 267, 14100, 729, 22393, 547, 1201, 5831, 2486, 543, 552, 6549, 9107, 11327, 1062, 14100, 1572, 713, 1062, 607, 513, 0, 3674, 519, 13855, 606, 3662, 888, 1103, 1018, 1826, 540, 3662, 568, 513, 13855, 9286, 286, 2549, 874, 756 ]

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

[ 476, 6942, 280, 4391, 269, 278, 4366, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7367, 815, 476, 6942, 280, 4343, 269, 6021, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7871, 815, 476, 6942, 280, 4343, 269, 29900, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7918, 815, 476, 6942, 280, 4343, 269, 8064, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4649, 815, 476, 6942, 280, 4375, 269, 1691, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6321, 815, 476, 6942, 280, 4375, 269, 4366, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6872, 815, 476, 6942, 280, 4375, 269, 279, 3607, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6812, 815, 476, 6942, 280, 2412, 269, 7277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6795, 815, 476, 6942, 280, 2412, 269, 276, 3953, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 277, 815, 476, 6942, 280, 2412, 269, 6434, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8618, 815, 476, 6942, 280, 6078, 269, 25248, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7830, 815, 476, 6942, 280, 6078, 269, 6872, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8287, 815, 476, 6942, 280, 6078, 269, 280, 2190, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 5038, 815, 476, 6942, 280, 5655, 269, 26604, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4792, 815, 476, 6942, 280, 5655, 269, 7830, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 5780, 815, 476, 6942, 280, 5655, 269, 280, 6924, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6858, 815, 476, 6942, 280, 6246, 269, 22332, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6924, 815, 476, 6942, 280, 6246, 269, 277, 5038, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7597, 815, 476, 6942, 280, 4510, 269, 23713, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 278, 815, 476, 6942, 280, 4510, 269, 3607, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10170, 815, 476, 6942, 280, 4510, 269, 3583, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7761, 815, 476, 6942, 280, 3393, 269, 4962, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10463, 815, 476, 6942, 280, 3393, 269, 29024, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10619, 815, 476, 6942, 280, 3393, 269, 4037, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4037, 815, 476, 6942, 280, 5379, 269, 272, 454, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10602, 815, 476, 6942, 280, 5379, 269, 275, 4366, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6507, 815, 476, 6942, 280, 5379, 269, 8064, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4281, 815, 476, 6942, 280, 5325, 269, 13893, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8064, 815, 476, 6942, 280, 5325, 269, 5392, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 279, 815, 476, 6942, 280, 5325, 269, 10019, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10037, 815, 476, 6942, 280, 4366, 269, 6642, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11025, 815, 476, 6942, 280, 4366, 269, 276, 3607, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10695, 815, 476, 6942, 280, 4366, 269, 6434, 275, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10019, 815, 476, 6942, 280, 5392, 269, 22446, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 5952, 815, 476, 6942, 280, 5392, 269, 6812, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10436, 815, 476, 6942, 280, 5392, 269, 280, 2764, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 9262, 815, 476, 6942, 31405, 269, 28510, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 6434, 815, 476, 6942, 31405, 269, 277, 2190, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 8660, 815, 476, 6942, 31405, 269, 280, 7761, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 280, 815, 476, 6942, 4817, 272, 269, 3953, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11011, 815, 476, 6942, 4817, 272, 269, 5780, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 10844, 815, 476, 6942, 4817, 273, 269, 28318, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11152, 815, 476, 6942, 4817, 273, 269, 3607, 275, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 11463, 815, 476, 6942, 4817, 273, 269, 278, 1321, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4817, 815, 476, 6942, 4817, 274, 269, 6187, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 9834, 815, 476, 6942, 4817, 274, 269, 2412, 279, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 9032, 815, 476, 6942, 4817, 274, 269, 4037, 277, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 7176, 815, 476, 6942, 4817, 275, 269, 10441, 476, 4097, 269, 279, 260, 540, 476, 25851, 271, 269, 4200, 815, 476, 6942, 4817, 275, 269, 3393, 273, 476, 4097, 269, 279, 260, 540, 476, 25851, 272, 815, 476, 6942, 4817, 275, 269, 279, 454, 476, 272, 260, 540, 476, 25851, 271, 815, 476, 7918, 476, 273, 260, 540, 476, 25851, 271, 815, 476, 10482, 476, 274, 260, 540, 476, 25851, 271, 815, 476, 14341, 476, 275, 260, 540, 476, 25851, 271, 815, 476, 21327, 476, 276, 260, 540, 476, 25851, 271, 815, 476, 17734, 476, 277, 260, 540, 476, 25851, 271, 815, 476, 27844, 476, 278, 260, 540, 476, 25851, 271, 815, 476, 274, 4281, 476, 279, 260, 540, 476, 25851, 271, 815, 476, 28242, 476, 280, 260, 540, 476, 25851, 271, 815, 476, 4366, 277, 476, 1015, 260, 540, 476, 25851, 271, 815, 476, 25851, 476, 1556, 260, 540, 476, 25851, 271, 815, 476, 6795, 275, 476, 1321, 260, 540, 476, 25851, 271, 815, 476, 277, 4366, 476, 1724, 260, 540, 476, 25851, 271, 815, 476, 3583, 273, 476, 1691, 260, 540, 476, 25851, 271, 815, 476, 4037, 277, 476, 1428, 260, 540, 476, 25851, 271, 815, 476, 279, 1015, 476, 1626, 260, 540, 476, 25851, 271, 815, 476, 279, 5038, 476, 1704, 260, 540, 476, 25851, 271, 815, 476, 280, 1240, 476, 1240, 260, 540, 476, 25851, 271, 815, 476, 280, 7761, 476, 866, 260, 540, 476, 25851, 271, 815, 476, 9083, 277, 476, 736, 260, 540, 476, 25851, 271, 815, 476, 10482, 271, 476, 2641, 260, 540, 476, 25851, 271, 815, 476, 13647, 275, 476, 2420, 260, 540, 476, 25851, 271, 815, 476, 14093, 279, 476, 2537, 260, 540, 476, 25851, 271, 815, 476, 14862, 273, 476, 2190, 260, 540, 476, 25851, 271, 815, 476, 15782, 277, 476, 1839, 260, 540, 476, 25851, 271, 815, 476, 13670, 271, 454, 476, 2918, 260, 540, 476, 25851, 271, 815, 476, 9610, 275, 476, 2767, 260, 540, 476, 25851, 271, 815, 476, 13970, 279, 476, 2764, 260, 540, 476, 25851, 271, 815, 476, 14681, 273, 476, 3066, 260, 540, 476, 25851, 271, 815, 476, 14444, 277, 476, 1789, 260, 540, 476, 25851, 271, 815, 476, 14341, 271, 476, 4029, 260, 540, 476, 25851, 271, 815, 476, 15757, 275, 476, 3953, 260, 540, 476, 25851, 271, 815, 476, 15094, 279, 476, 3451, 260, 540, 476, 25851, 271, 815, 476, 9965, 273, 476, 4097, 260, 540, 476, 25851, 271, 815, 476, 8146, 277, 476, 3374, 260, 540, 476, 25851, 271, 815, 476, 6245, 271, 476, 3607, 260, 540, 476, 25851, 271, 815, 476, 3707, 275, 476, 4391, 260, 540, 476, 25851, 271, 815, 476, 1960, 279, 476, 4343, 260, 540, 476, 25851, 271, 815, 476, 13078, 273, 476, 4375, 260, 540, 476, 25851, 271, 815, 476, 13975, 277, 476, 2412, 260, 540, 476, 25851, 271, 815, 476, 21327, 271, 476, 6078, 260, 540, 476, 25851, 271, 815, 476, 21854, 275, 476, 5655, 260, 540, 476, 25851, 271, 815, 476, 26297, 279, 476, 6246, 260, 540, 476, 25851, 271, 815, 476, 22446, 273, 476, 4510, 260, 540, 476, 25851, 271, 815, 476, 26801, 277, 476, 3393, 260, 540, 476, 25851, 271, 815, 476, 25838, 271, 476, 5379, 260, 540, 476, 25851, 271, 815, 476, 27886, 275, 476, 5325, 260, 540, 476, 25851, 271, 815, 476, 26562, 279, 476, 4366, 260, 540, 476, 25851, 271, 815, 476, 28796, 273, 476, 5392, 260, 540, 476, 25851, 271, 815, 476, 25784, 277, 476, 2004, 260, 540, 476, 25851, 271, 815, 476, 17734, 271, 454, 476, 7906, 260, 540, 476, 25851, 271, 815, 476, 22550, 275, 476, 7367, 260, 540, 476, 25851, 271, 815, 476, 18231, 279, 476, 7871, 260, 540, 476, 25851, 271, 815, 476, 30525, 273, 476, 7918, 260, 540, 476, 25851, 271, 815, 476, 29720, 277, 476, 4649, 260, 540, 476, 25851, 271, 815, 476, 29574, 271, 476, 6321, 260, 540, 476, 25851, 271, 815, 476, 23714, 275, 476, 6872, 260, 540, 476, 25851, 271, 815, 476, 28906, 279, 476, 6812, 260, 540, 476, 25851, 271, 815, 476, 27123, 273, 476, 6795, 260, 540, 476, 25851, 271, 815, 476, 28760, 277, 476, 2568, 260, 540, 476, 25851, 271, 815, 476, 27844, 271, 476, 8618, 260, 540, 476, 25851, 271, 815, 476, 31696, 275, 476, 7830, 260, 540, 476, 25851, 271, 815, 476, 31172, 279, 476, 8287, 260, 540, 476, 25851, 271, 815, 476, 22430, 273, 476, 5038, 260, 540, 476, 25851, 271, 815, 476, 24833, 277, 476, 4792, 260, 540, 476, 25851, 271, 815, 476, 31620, 271, 476, 5780, 260, 540, 476, 25851, 271, 815, 476, 32579, 275, 476, 6858, 260, 540, 476, 25851, 271, 815, 476, 3607, 272, 279, 476, 6924, 260, 540, 476, 25851, 271, 815, 476, 3607, 278, 273, 476, 7597, 260, 540, 476, 25851, 271, 815, 476, 4391, 273, 277, 476, 3583, 260, 540, 476, 25851, 271, 815, 476, 274, 4281, 271, 476, 10170, 260, 540, 476, 25851, 271, 815, 476, 4343, 274, 275, 476, 7761, 260, 540, 476, 25851, 271, 815, 476, 4343, 279, 279, 476, 10463, 260, 540, 476, 25851, 271, 815, 476, 4375, 275, 273, 476, 10619, 260, 540, 476, 25851, 271, 815, 476, 274, 4200, 277, 476, 4037, 260, 540, 476, 25851, 271, 815, 476, 28147, 271, 454, 476, 10602, 260, 540, 476, 25851, 271, 815, 476, 25148, 275, 476, 6507, 260, 540, 476, 25851, 271, 815, 476, 25870, 279, 476, 4281, 260, 540, 476, 25851, 271, 815, 476, 275, 2641, 273, 476, 8064, 260, 540, 476, 25851, 271, 815, 476, 275, 2918, 277, 476, 3199, 260, 540, 476, 25851, 271, 815, 476, 28242, 271, 476, 10037, 260, 540, 476, 25851, 271, 815, 476, 275, 4391, 275, 476, 11025, 260, 540, 476, 25851, 271, 815, 476, 4510, 273, 279, 476, 10695, 260, 540, 476, 25851, 271, 815, 476, 275, 4366, 273, 476, 10019, 260, 540, 476, 25851, 271, 815, 476, 28526, 277, 476, 5952, 260, 540, 476, 25851, 271, 815, 476, 3393, 280, 271, 476, 10436, 260, 540, 476, 25851, 271, 815, 476, 275, 5038, 275, 476, 9262, 260, 540, 476, 25851, 271, 815, 476, 5379, 280, 279, 476, 6434, 260, 540, 476, 25851, 271, 815, 476, 275, 4037, 273, 476, 8660, 260, 540, 476, 25851, 271, 815, 476, 21878, 277, 476, 3445, 260, 540, 476, 25851, 271, 815, 476, 4366, 277, 271, 476, 11011, 260, 540, 476, 25851, 271, 815, 476, 5392, 272, 275, 476, 10844, 260, 540, 476, 25851, 271, 815, 476, 5392, 277, 279, 476, 11152, 260, 540, 476, 25851, 271, 815, 476, 2004, 273, 273, 476, 11463, 260, 540, 476, 25851, 271, 815, 476, 2004, 278, 277, 476, 4817, 260, 540, 476, 25851, 271, 815, 476, 276, 1724, 271, 476, 9834, 260, 540, 476, 25851, 271, 815, 476, 276, 1240, 275, 476, 9032, 260, 540, 476, 25851, 271, 815, 476, 276, 2537, 279, 476, 7176, 260, 540, 476, 25851, 271, 815, 476, 276, 3066, 273, 476, 4200, 260, 540, 476, 25851, 271, 815, 476, 276, 4097, 277, 476, 1911, 260, 540, 476, 25851, 271, 815, 476, 25851, 271, 0, 258, 4578, 23113, 543, 27122, 910, 853, 2931, 543, 6581, 1132, 692, 2162 ]

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

[ 269, 3751, 729, 5462, 547, 5397, 519, 5545, 5087, 998, 519, 21125, 11866, 5832, 543, 909, 602, 26570, 4155, 547, 19519, 563, 763, 4305, 729, 2016, 547, 21470, 31288, 7917, 13850, 768, 2917, 267, 543, 519, 1544, 1572, 585, 606, 12289, 540, 1079, 10195, 538, 519, 3752, 558, 976, 267, 519, 3854, 693, 570, 592, 698, 328, 543, 2871, 611, 531, 4754, 531, 267, 513, 3677, 6532, 5045, 540, 570, 592, 698, 328, 269, 9737, 873, 2893, 14205, 334, 6816, 267, 513, 4666, 18962, 563, 297, 777, 753, 4937, 25511, 24734, 631, 1731, 11867, 563, 763, 14213, 729, 8655, 547, 519, 476, 272, 560, 13149, 10406, 896, 966, 663, 1122, 337, 3424, 269, 25306, 1131, 4971, 519, 12289, 3196, 540, 3560, 338, 269, 634, 14213, 338, 2011, 3382, 1131, 2097, 689, 21470, 31288, 7671, 10793, 674, 2280, 7129, 1614, 19057, 267, 543, 922, 2673, 2987, 8878, 543, 7784, 1676, 344, 1489, 689, 9197, 8553, 18436, 1895, 269, 898, 729, 519, 1101, 18086, 3575, 540, 3703, 267, 8241, 267, 543, 1977, 17189, 4229, 538, 6370, 563, 5522, 10165, 585, 5181, 267, 519, 12289, 729, 6410, 909, 547, 4864, 476, 272, 1317, 519, 5545, 941, 2679, 513, 2196, 3118, 585, 2244, 2861, 14742, 593, 2871, 611, 531, 4754, 531, 269, 634, 3490, 729, 513, 2312, 3463, 547, 1977, 10618, 609, 5245, 543, 1715, 10215, 269, 13772, 339, 1077, 6410, 883, 1164, 10591, 269, 5548, 904, 14593, 519, 14213, 1394, 547, 4864, 476, 278, 563, 19602, 267, 519, 32042, 3401, 1558, 593, 674, 2280, 7129, 17514, 1222, 267, 519, 15298, 7203, 520, 7541, 267, 693, 918, 19660, 593, 5147, 476, 2918, 269, 1703, 674, 2280, 7815, 13890, 1010, 4566, 269, 634, 15298, 3196, 1131, 3251, 5045, 540, 2871, 611, 531, 4754, 531, 269, 25306, 1131, 1491, 519, 3560, 338, 538, 609, 519, 2267, 23924, 543, 6861, 619, 547, 2149, 1864, 267, 896, 9197, 8553, 2917, 269, 674, 2280, 7815, 1287, 12628, 1010, 23038, 17850, 281, 646, 1131, 11198, 1010, 1614, 19057, 476, 4366, 3108, 1310, 519, 12289, 563, 31282, 518, 729, 856, 571, 3022, 269, 2060, 9526, 532, 519, 2011, 3382, 1131, 28855, 1125, 519, 5106, 269, 898, 1131, 1491, 3476, 982, 602, 547, 796, 2903, 782, 519, 7727, 269, 966, 663, 1122, 337, 3424, 8815, 269, 1809, 674, 2280, 7815, 729, 6109, 269, 1306, 18239, 19524, 693, 519, 15298, 12959, 540, 4856, 531, 7256, 543, 11068, 3118, 267, 1079, 540, 1010, 19057, 1185, 1044, 3141, 330, 9944, 1010, 3952, 563, 763, 2898, 3196, 18188, 585, 2871, 611, 531, 4754, 531, 543, 570, 592, 698, 328, 593, 5147, 476, 4029, 267, 543, 9197, 8553, 2917, 6368, 1185, 513, 4960, 547, 7500, 609, 1010, 2267, 23924, 543, 6861, 619, 269, 2368, 646, 6785, 2907, 269, 634, 3703, 32472, 6019, 11665, 5230, 2267, 23924, 32518, 3008, 5245, 543, 32518, 3008, 2052, 828, 571, 1185, 5249, 609, 519, 1977, 5230, 2267, 16014, 2475, 306, 9628, 585, 930, 3275, 267, 2047, 896, 1010, 4971, 563, 3719, 519, 1007, 2267, 23924, 8655, 547, 1864, 267, 2475, 306, 966, 4532, 15086, 267, 2372, 514, 1097, 267, 543, 8330, 18319, 267, 1185, 711, 269, 2859, 11932, 267, 5103, 1279, 5389, 540, 27089, 267, 3318, 1143, 267, 543, 27265, 267, 519, 772, 2529, 269, 13108, 1705, 711, 2965, 723, 3044, 5665, 5773, 585, 2627, 17189, 12959, 269, 31453, 585, 29070, 3527, 538, 519, 10084, 7256, 896, 10656, 4971, 538, 5988, 476, 3707, 273, 267, 519, 772, 2529, 269, 13108, 1185, 711, 10692, 513, 2627, 6370, 2094, 476, 6245, 279, 267, 543, 602, 1996, 513, 3526, 335, 527, 5053, 13108, 269, 772, 2529, 269, 13108, 4305, 1895, 4971, 619, 941, 4397, 547, 3313, 741, 5773, 593, 519, 5544, 267, 799, 1223, 1291, 547, 7965, 609, 28365, 2792, 543, 11558, 563, 3719, 693, 2547, 519, 3196, 1223, 1293, 593, 4396, 5718, 269, 589, 3022, 476, 4366, 267, 9197, 8553, 2917, 729, 513, 25982, 4262, 2915, 609, 606, 10373, 2699, 581, 731, 267, 23649, 540, 513, 15117, 9061, 689, 2622, 2782, 594, 267, 543, 1185, 10692, 2627, 3527, 538, 2622, 2782, 4083, 563, 2026, 519, 20466, 3196, 2848, 3139, 5087, 267, 9197, 8553, 2917, 5249, 856, 1010, 28365, 4566, 538, 1010, 19970, 593, 5245, 269, 1261, 729, 26997, 547, 2322, 1010, 1950, 543, 14605, 20291, 3196, 883, 513, 2582, 1770, 267, 4250, 532, 621, 1131, 2097, 6306, 538, 519, 2566, 540, 6370, 269, 13536, 12959, 1131, 6961, 1864, 1318, 1492, 4892, 1131, 2119, 602, 8671, 545, 538, 2185, 2101, 17189, 4497, 906, 538, 519, 3752, 558, 976, 543, 1491, 10792, 9271, 563, 21156, 267, 646, 8359, 547, 7941, 1010, 3196, 269, 3571, 1378, 1895, 267, 1031, 547, 2324, 1927, 267, 1131, 9856, 519, 7013, 1935, 547, 2871, 611, 531, 4754, 531, 909, 547, 14205, 334, 6816, 607, 519, 8828, 6828, 267, 1247, 519, 1614, 1977, 2267, 23924, 1131, 29862, 519, 1858, 1063, 14205, 334, 543, 570, 592, 698, 328, 269, 634, 8832, 6828, 1131, 581, 18188, 676, 519, 9972, 1977, 11464, 267, 966, 4532, 15086, 1236, 23124, 18279, 19291, 21824, 1652, 12049, 23135, 681, 3971, 330, 2129, 331, 269, 3962, 1895, 1131, 723, 1614, 5230, 2267, 23924, 543, 1079, 6861, 619, 563, 2414, 519, 7532, 267, 9197, 8553, 2917, 11540, 1010, 1769, 2267, 23924, 267, 2475, 306, 5842, 20844, 543, 32518, 3008, 20122, 691, 267, 547, 9856, 1996, 513, 1166, 21403, 1847, 269, 1656, 6368, 267, 646, 5497, 547, 2322, 1079, 6861, 619, 593, 856, 14006, 10279, 267, 2475, 306, 9791, 543, 2475, 306, 25453, 13669, 15318, 267, 799, 1131, 2212, 856, 1354, 23863, 543, 29862, 267, 25453, 13669, 15318, 22070, 540, 14205, 334, 267, 9791, 22236, 540, 14205, 334, 267, 782, 3781, 1279, 269, 1358, 1185, 519, 1655, 16986, 12588, 540, 782, 1010, 6861, 619, 267, 513, 2039, 540, 5722, 547, 476, 1015, 5195, 563, 31282, 518, 9516, 9197, 8553, 18436, 4566, 267, 543, 593, 519, 3781, 540, 11016, 267, 4864, 476, 278, 267, 519, 12289, 3196, 2848, 3139, 689, 519, 7178, 883, 1018, 1131, 4166, 581, 3957, 11635, 321, 18847, 14675, 1063, 2871, 611, 531, 4754, 531, 543, 570, 592, 698, 328, 269, 2311, 476, 277, 281, 2004, 993, 267, 519, 3057, 1149, 7088, 539, 11849, 648, 563, 2467, 729, 1100, 4187, 593, 2871, 611, 531, 4754, 531, 269, 2201, 570, 592, 698, 328, 543, 922, 7404, 10195, 267, 519, 3057, 1149, 10443, 883, 5462, 8878, 267, 609, 5545, 10136, 5925, 532, 741, 22071, 538, 15887, 4954, 267, 593, 519, 6532, 540, 1715, 6628, 267, 585, 948, 563, 763, 6835, 6603, 31288, 25511, 24734, 631, 1731, 11867, 267, 945, 26017, 519, 5545, 661, 12915, 18307, 564, 269, 1261, 26017, 519, 2627, 10617, 1222, 24362, 538, 519, 1858, 689, 1010, 17514, 1222, 267, 519, 5230, 2267, 16014, 932, 758, 2967, 267, 543, 519, 2185, 10617, 4721, 540, 14265, 16014, 10406, 14520, 8655, 547, 1864, 281, 589, 20899, 267, 20943, 1872, 14505, 267, 674, 584, 583, 10440, 267, 543, 918, 752, 334, 269, 7982, 532, 873, 909, 941, 519, 1079, 1769, 2267, 23924, 14210, 787, 340, 543, 962, 889, 926, 267, 543, 513, 2582, 6861, 518, 267, 962, 684, 698, 328, 563, 300, 1731, 11867, 10288, 4262, 30350, 4043, 619, 543, 3761, 9635, 16041, 609, 12927, 906, 585, 2871, 611, 531, 4754, 531, 267, 25881, 543, 17177, 1499, 547, 8038, 476, 7785, 5195, 689, 15887, 4954, 547, 2871, 611, 531, 4754, 531, 547, 4323, 519, 10546, 9635, 267, 543, 1010, 1378, 16559, 10617, 4721, 547, 27043, 693, 15887, 4954, 585, 513, 16190, 4831, 3430, 871, 269, 1261, 5497, 547, 9292, 331, 1010, 2947, 5230, 543, 1079, 1769, 2267, 23924, 538, 835, 1071, 6150, 31329, 267, 1818, 513, 3781, 4323, 593, 519, 10546, 547, 6861, 741, 18239, 543, 3560, 338, 563, 763, 1544, 8604, 18174, 14551, 344, 269, 634, 4892, 1185, 2011, 27166, 543, 7899, 540, 11028, 18590, 14742, 547, 5544, 543, 3950, 631, 1731, 1177, 553, 3196, 267, 865, 621, 1131, 711, 723, 519, 5413, 540, 9983, 269, 898, 1131, 723, 513, 3908, 2179, 540, 942, 547, 1205, 883, 519, 2871, 611, 531, 4754, 531, 1858, 676, 3781, 543, 513, 3908, 2179, 540, 942, 547, 1205, 1394, 856, 269, 634, 1977, 10617, 4721, 1185, 16986, 547, 1852, 741, 15963, 267, 513, 2101, 5413, 538, 3781, 8165, 563, 3719, 631, 1731, 11867, 543, 1010, 2367, 941, 796, 13630, 32328, 269, 634, 15875, 5545, 13108, 8036, 2182, 585, 3781, 12959, 269, 634, 5545, 949, 723, 26218, 16986, 267, 855, 789, 8036, 519, 1034, 9952, 1413, 8083, 547, 4196, 676, 3781, 269, 1358, 1223, 5544, 9072, 607, 2484, 607, 2185, 5195, 279, 267, 1822, 7397, 12537, 267, 1256, 593, 4158, 17334, 269, 4256, 3406, 7547, 941, 9120, 547, 519, 1977, 3937, 563, 7197, 11932, 267, 7429, 741, 1977, 17837, 267, 5545, 5230, 2267, 23924, 941, 11439, 609, 8731, 6244, 3996, 267, 538, 607, 1082, 607, 5216, 13740, 267, 519, 6574, 538, 519, 1158, 269, 808, 777, 753, 5135, 1922, 3241, 539, 7043, 700, 766, 8731, 6244, 334, 729, 476, 2190, 6279, 538, 8006, 267, 1185, 513, 3432, 540, 476, 2004, 25418, 267, 513, 2039, 540, 5176, 2185, 5195, 267, 543, 1011, 10757, 593, 1764, 609, 519, 1379, 540, 922, 476, 272, 267, 13975, 1790, 895, 2112, 3650, 269, 1635, 6476, 267, 519, 4892, 9833, 519, 2856, 540, 818, 2719, 741, 5230, 2267, 23924, 609, 8731, 6244, 3996, 607, 28572, 543, 1705, 711, 798, 865, 563, 4263, 476, 275, 281, 1789, 10681, 593, 4864, 476, 278, 267, 631, 1731, 11867, 3366, 1010, 4305, 3196, 547, 4262, 547, 4339, 519, 10546, 538, 519, 1655, 7663, 29718, 2245, 269, 631, 1731, 1177, 553, 3196, 2848, 3139, 1524, 519, 10616, 1063, 519, 21125, 11866, 5832, 320, 8905, 602, 1131, 2663, 581, 1572, 634, 6215, 582, 23719, 13779, 267, 19481, 676, 8429, 645, 27739, 645, 268, 1704, 674, 2391, 10783, 816, 17177, 1499, 540, 4937, 19958, 5839, 6635, 628, 2720, 4971, 538, 5245, 269, 634, 1977, 14742, 4080, 3670, 796, 30009, 9635, 8289, 539, 267, 855, 1100, 811, 7224, 2990, 267, 1576, 267, 610, 3432, 563, 19602, 267, 5545, 17177, 1499, 16091, 519, 1977, 9635, 267, 8380, 513, 10514, 883, 519, 6861, 518, 631, 1872, 5112, 267, 4611, 538, 5634, 3441, 543, 11318, 476, 2420, 2367, 563, 6546, 12784, 267, 631, 1731, 11867, 5143, 1010, 5234, 602, 1010, 1544, 729, 513, 2196, 2987, 676, 3781, 267, 4553, 676, 513, 8731, 6244, 334, 4323, 269, 1261, 1131, 1491, 1010, 8458, 609, 1373, 19481, 676, 1554, 1282, 519, 5198, 1524, 593, 519, 476, 279, 628, 563, 4002, 519, 20466, 2427, 267, 9197, 8553, 18436, 9635, 4682, 547, 741, 7158, 267, 543, 3388, 729, 9602, 267, 519, 9635, 2848, 5446, 1394, 543, 8521, 1492, 8828, 10414, 538, 513, 2786, 1899, 267, 519, 8832, 10414, 538, 513, 4216, 29862, 563, 763, 1985, 6640, 267, 4864, 476, 279, 267, 631, 1731, 11867, 9250, 1010, 4262, 680, 6951, 547, 2638, 856, 2871, 611, 531, 4754, 531, 267, 543, 811, 5545, 17177, 1499, 18188, 585, 519, 6532, 563, 2691, 519, 986, 573, 3357, 538, 693, 29869, 267, 519, 17177, 1499, 941, 30870, 676, 513, 7372, 3046, 14141, 269, 634, 5545, 5734, 519, 6861, 518, 808, 541, 6665, 543, 513, 17177, 828, 1835, 14414, 883, 519, 3560, 6723, 674, 269, 11875, 328, 2714, 267, 4259, 1055, 513, 3595, 602, 4166, 986, 3022, 856, 540, 1852, 269, 634, 3560, 729, 14460, 269, 634, 6861, 518, 670, 1638, 6836, 547, 16173, 621, 609, 2185, 8731, 6244, 3996, 543, 602, 8959, 269, 634, 6723, 674, 269, 11875, 328, 2714, 2482, 14460, 543, 7296, 782, 998, 519, 3781, 563, 268, 17619, 6816, 21952, 29651, 269, 2212, 17991, 936, 1412, 24055, 569, 543, 16770, 18086, 262, 24616, 910, 1715, 3840, 5403, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 7276, 4934, 7410, 267, 6465, 523, 6816, 26864, 281, 1548, 18001, 476, 273, 1797, 585, 6465, 523, 6816, 6300, 11825, 910, 590, 6579, 633, 2593, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 4858, 2213, 538, 519, 3162, 1426, 14903, 786, 7017, 1524, 593, 8592, 6816, 713, 4832, 910, 4077, 31760, 4975, 7433, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 589, 943, 1078, 556, 641, 2287, 910, 634, 326, 31678, 529, 1633, 2593, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 4425, 577, 2488, 513, 5818, 585, 6816, 1347, 885, 910, 26795, 781, 966, 710, 12881, 8648, 910, 4873, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 8262, 6816, 10003 ]

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

[ 0, 8334, 538, 4898, 1633, 2228, 2542, 454, 8334, 781, 24601, 538, 24090, 1633, 269, 11066, 2961, 2651, 16503, 3603, 676, 11184, 3627, 570, 3317, 1408, 269, 901, 1357, 7160, 3370, 676, 1496, 16942, 6870, 316, 7831, 8242, 13723, 563, 763, 10435, 540, 7705, 769, 24090, 1633, 7705, 781, 24601, 769, 24090, 1633, 519, 1433, 1200, 11078, 729, 2542, 267, 855, 621, 1185, 1100, 5961, 610, 7391, 538, 621, 267, 2387, 663, 1018, 563, 5472, 11271, 689, 11066, 2961, 2651, 781, 834, 7705, 781, 24601, 538, 24090, 1633, 834, 269, 6435, 721, 6338, 621, 547, 1866, 676, 1603, 513, 1732, 4367, 585, 621, 269, 7705, 267, 1373, 519, 8049, 8004, 1352, 729, 267, 4553, 519, 15529, 1524, 602, 8559, 543, 1336, 9887, 538, 513, 2244, 609, 1082, 13300, 269, 7305, 540, 12937, 269, 7705, 781, 24601, 538, 24090, 1633, 11066, 2961, 2651, 269, 898, 729, 513, 4898, 1633, 269, 7705, 781, 24601, 769, 24090, 1633, 910, 11066, 2961, 2651, 910, 9509, 23866, 9349, 910, 19415, 267, 3367, 267, 1299, 4039, 1314, 0, 268, 4305, 3196, 454, 2252, 513, 4305, 3196, 814, 513, 6101, 2012, 267, 31194, 621, 281, 634, 2160, 17130, 10414, 593, 519, 5113, 786, 1865, 1896, 1360, 4277, 2152, 693, 922, 1985, 5870, 269, 1403, 519, 4704, 568, 2489, 610, 13598, 267, 798, 711, 31194, 281, 634, 6280, 786, 6966, 513, 4305, 3196, 547, 1865, 2825, 2152, 593, 13464, 563, 268, 15146, 2338, 454, 8196, 5712, 547, 5094, 1858, 9479, 543, 18772, 525, 281, 476, 2004, 273, 269, 5952, 273, 269, 277, 1704, 272, 563, 2710, 711, 946, 519, 1003, 1968, 476, 272, 1354, 1858, 9479, 267, 1519, 476, 8517, 2338, 563, 32621, 538, 519, 1459, 13029, 585, 2489, 6280, 12326, 281, 834, 2005, 781, 513, 1390, 2856, 2437, 646, 3081, 563, 8196, 2250, 13029, 950, 513, 4266, 610, 1554, 1369, 519, 1650, 2306, 621, 25401, 2556, 281, 834, 296, 1616, 547, 2671, 1896, 3078, 8906, 609, 596, 2437, 519, 4387, 1767, 1282, 513, 6881, 547, 519, 2923, 2063, 3923, 1141, 646, 9307, 519, 2164, 540, 1010, 1382, 563, 268, 602, 267, 799, 454, 257, 6546, 257, 568, 1031, 547, 6338, 606, 1898, 16083, 630, 821, 602, 3112, 581, 17515, 1510, 4657, 519, 2495, 5148, 834, 6518, 257, 568, 1031, 547, 6338, 513, 1875, 24207, 16083, 281, 2701, 9896, 909, 585, 519, 2257, 1576, 602, 1352, 2877, 547, 2347, 1200, 2101, 269, 2701, 3576, 7350, 267, 799, 568, 513, 1576, 602, 1352, 2877, 547, 2347, 1200, 2101, 563, 2304, 1898, 16083, 1590, 711, 581, 1305, 1055, 689, 519, 1964, 540, 519, 4845, 676, 862, 553, 282, 513, 1875, 24207, 16083, 1590, 563, 268, 602, 267, 945, 454, 8196, 834, 7474, 257, 950, 13288, 547, 538, 534, 1493, 3615, 543, 547, 2831, 1510, 513, 2012, 281, 2701, 1568, 585, 519, 2754, 602, 10660, 1229, 8790, 14037, 710, 269, 1703, 4422, 519, 2915, 602, 3787, 803, 563, 8196, 834, 15367, 257, 950, 13288, 547, 1004, 610, 547, 2831, 609, 513, 2012, 281, 2701, 729, 519, 835, 945, 3323, 519, 2754, 269, 898, 729, 700, 817, 773, 945, 3787, 803, 563, 2710, 711, 31194, 834, 1492, 257, 1369, 513, 4845, 8259, 972, 568, 849, 513, 1689, 540, 1826, 2183, 630, 324, 3052, 1421, 547, 24495, 923, 264, 610, 513, 19722, 1665, 547, 29692, 519, 5467, 281, 1261, 13984, 519, 2160, 540, 8402, 6807, 269, 2701, 3340, 1200, 1053, 547, 1224, 834, 763, 20769, 6670, 257, 1142, 1032, 269, 1261, 20401, 525, 547, 634, 21676, 8175, 11219, 16067, 563, 4407, 1082, 4213, 543, 5238, 31194, 834, 1492, 257, 538, 741, 2012, 538, 741, 1820, 2326, 649, 798, 711, 281, 1261, 22595, 6006, 538, 519, 623, 10134, 328, 10870, 563, 268, 14364, 267, 16222, 454, 8196, 29038, 518, 257, 8259, 834, 1492, 11128, 257, 568, 851, 540, 519, 6101, 2012, 281, 26643, 538, 772, 1993, 299, 781, 14364, 1982, 616, 1419, 4371, 538, 774, 6412, 20989, 563, 293, 312, 296, 281, 2755, 713, 666, 581, 14845, 630, 18034, 607, 772, 1993, 299, 781, 14364, 8257, 3096, 519, 834, 1700, 516, 257, 10259, 585, 922, 6101, 2012, 1070, 621, 3587, 1454, 811, 2241, 952, 596, 3314, 602, 519, 1152, 942, 519, 834, 1700, 516, 257, 10259, 1058, 581, 1031, 568, 585, 8320, 538, 799, 834, 763, 11128, 257, 568, 3854, 1242, 563, 8196, 5515, 4849, 585, 834, 12158, 257, 543, 834, 13232, 9519, 4799, 8196, 513, 3935, 547, 5094, 3108, 689, 3764, 281, 476, 279, 281, 3393, 513, 6230, 563, 8196, 476, 279, 513, 6230, 269, 2864, 982, 476, 279, 281, 876, 513, 6230, 563, 22879, 21336, 17473, 971, 607, 476, 1015, 513, 6230, 269, 713, 6640, 563, 22879, 25481, 1210, 834, 334, 262, 22018, 4799, 1103, 2489, 267, 31194, 6101, 610, 21806, 10643, 1765, 26078, 1211, 267, 632, 534, 267, 6845, 1807, 1765, 29592, 4408, 540, 2043, 543, 27608, 950, 789, 1246, 4408, 269, 13722, 13826, 10855, 610, 17163, 10643, 281, 9375, 3627, 1684, 324, 563, 8196, 2407, 4408, 593, 1101, 4704, 269, 2201, 2034, 543, 7766, 8100, 267, 946, 1152, 2063, 4408, 267, 1510, 21806, 10643, 267, 585, 1312, 2367, 543, 2021, 7488, 540, 29281, 4567, 563, 13052, 4753, 303, 3582, 281, 1677, 10646, 1063, 513, 9393, 543, 7385, 20926, 538, 519, 1482, 1650, 267, 10539, 1419, 666, 581, 14284, 676, 1210, 1101, 4408, 281, 3627, 543, 13191, 8055, 32524, 593, 519, 1353, 269, 834, 2171, 4080, 938, 4681, 693, 519, 1985, 10554, 2437, 13191, 3081, 269, 834, 2005, 729, 606, 4277, 8400, 2437, 3627, 8591, 563, 297, 15477, 570, 3951, 299, 2464, 281, 2422, 27608, 585, 10643, 8259, 789, 616, 2047, 1354, 513, 2012, 543, 1599, 607, 851, 540, 519, 2012, 281, 25760, 15608, 13643, 1558, 609, 5518, 6601, 24229, 8055, 547, 1865, 1896, 1382, 2152, 269, 13191, 1684, 324, 267, 632, 534, 540, 519, 2564, 1153, 267, 849, 13984, 563, 2710, 711, 31194, 10643, 538, 13598, 6165, 281, 634, 632, 753, 1558, 609, 519, 7022, 563, 2026, 513, 2489, 4341, 267, 10643, 5627, 811, 982, 2185, 1913, 1058, 581, 5116, 1310, 519, 2012, 563, 2316, 26950, 2464, 5508, 12601, 19006, 281, 13317, 1125, 267, 538, 19722, 7436, 267, 519, 2407, 267, 6101, 10643, 540, 11925, 267, 19014, 267, 29468, 267, 18531, 543, 2147, 2621, 281, 589, 13186, 11331, 834, 763, 2422, 540, 519, 7732, 257, 786, 581, 4371, 1985, 3018, 269, 2422, 27608, 585, 1641, 2339, 281, 661, 330, 560, 668, 7732, 786, 2709, 513, 13186, 593, 5399, 946, 563, 4596, 7838, 307, 2464, 312, 570, 3951, 299, 2464, 281, 769, 513, 6101, 1592, 630, 1993, 5171, 610, 22881, 267, 585, 3236, 264, 834, 16031, 1421, 257, 834, 300, 3464, 1421, 257, 834, 29309, 2437, 543, 834, 16039, 1701, 1058, 581, 31360, 267, 4849, 950, 513, 4807, 4481, 13668, 547, 946, 1200, 9393, 781, 2012, 281, 11427, 269, 9478, 1684, 324, 267, 6004, 269, 543, 11427, 269, 3627, 1684, 324, 563, 308, 1993, 299, 568, 513, 6280, 22028, 269, 2142, 3222, 602, 782, 6280, 27291, 543, 7436, 616, 6870, 896, 5313, 22028, 1876, 269, 6423, 519, 6651, 547, 18753, 14740, 585, 811, 1344, 563, 2690, 824, 2472, 267, 950, 2009, 946, 519, 13598, 5973, 757, 281, 11132, 5160, 269, 1403, 519, 22028, 539, 2012, 568, 2556, 267, 31194, 519, 1101, 4484, 1152, 281, 21890, 523, 1410, 10691, 918, 4041, 2894, 13052, 454, 15507, 519, 2511, 7666, 728, 676, 20438, 912, 2252, 596, 723, 1022, 10372, 585, 519, 32000, 13910, 7666, 728, 267, 5225, 6494, 873, 547, 721, 269, 0, 268, 3414, 610, 2282, 713, 7934, 2095, 5087, 2072, 538, 6252, 6030, 519, 8933, 4173, 328, 8573, 644, 630, 5938, 329, 754, 264, 543, 12653, 724, 629, 267, 2394, 789, 6336, 2933, 538, 519, 9390, 540, 918, 4673, 10275, 636, 563, 268, 6168, 713, 942, 519, 1855, 330, 651, 12395, 30689, 267, 1287, 2713, 593, 519, 4173, 328, 8573, 644, 267, 941, 7142, 676, 519, 6431, 2103, 547, 22109, 5087, 1189, 563, 268, 4173, 328, 267, 1110, 563, 268, 2986, 519, 5748, 540, 4173, 520, 630, 528, 4173, 328, 267, 607, 621, 568, 1869, 1419, 1572, 264, 4986, 568, 1634, 563, 268, 4498, 320, 10216, 1070, 538, 519, 25610, 540, 519, 5757, 1323, 639, 630, 15463, 328, 8573, 644, 1070, 799, 6508, 922, 2012, 689, 873, 269, 0, 5278, 2474, 1250, 19223, 1353, 540, 13271, 1250, 322, 5505, 3744, 945, 1353, 13271, 1250, 20799, 16464, 1108, 1353, 540, 16507, 13802, 543, 741, 2360, 1250, 322, 4680, 3676, 3361, 676, 13271, 454, 1911, 267, 1822, 2249, 8307, 476, 1911, 1480, 13596, 267, 13271, 2404, 3676, 616, 8375, 267, 1813, 547, 562, 657, 665, 6706, 5563, 543, 538, 6375, 665, 20234, 668, 2213, 2550, 630, 773, 269, 7486, 267, 3987, 267, 13003, 11570, 264, 1306, 704, 326, 650, 2670, 267, 2349, 770, 3912, 322, 2670, 1765, 335, 592, 14004, 5563, 543, 23425, 949, 581, 3238, 269, 476, 276, 267, 1822, 2030, 13596, 284, 259, 272, 5479, 270, 10455, 674, 7419, 22835, 454, 293, 25193, 18567, 661, 20915, 5328, 4107, 616, 5564, 545, 32698, 543, 930, 616, 27033, 32698, 269, 670, 2678, 582, 13116, 12559, 12643, 5567, 910, 949, 581, 18682, 13681, 525, 630, 25388, 321, 689, 4666, 1570, 1070, 15495, 267, 610, 8994, 2065, 1623, 321, 542, 1206, 630, 5976, 13479, 1118, 6132, 1156, 1040, 1530, 4740, 3532, 29230, 6776, 11476, 269, 8426, 6821, 2270, 669, 527, 514, 267, 606, 11254, 4006, 30713, 21839, 728, 849, 1336, 538, 818, 6605, 617, 608, 18929, 30416, 19768, 9206, 7578, 454, 23322, 2524, 540, 13271, 589, 269, 32541, 267, 1875, 268, 15466, 7103, 645, 269, 16196, 676, 1797, 540, 24032, 630, 935, 573, 807, 1070, 2356, 2842, 16162, 20759, 730, 595, 269, 1312, 4638, 630, 1889, 8438, 264, 543, 513, 25757, 630, 2466, 5328, 264, 24032, 949, 581, 3812, 267, 4470, 593, 519, 2249, 543, 2175, 667, 269, 3335, 711, 2138, 850, 267, 4352, 513, 1906, 630, 324, 3052, 269, 932, 12682, 337, 1749, 264, 723, 513, 2138, 850, 5123, 269, 661, 269, 899, 2371, 267, 949, 723, 513, 7123, 688, 30666, 1299, 9733, 1355, 2829, 674, 269, 3543, 894, 1560, 949, 581, 27033, 32698, 630, 6614, 6814, 264, 610, 24352, 32698, 22285, 338, 7768, 540, 18784, 16060, 1572, 1728, 874, 2801, 269, 717, 269, 1591, 6821, 7768, 540, 6140, 540, 669, 527, 514, 543, 6722, 534, 269, 670, 269, 13216, 32594, 609, 4835, 31759, 267, 2890, 16344, 14613, 543, 2890, 30344, 2737, 454, 295, 269, 13271, 616, 10636, 582, 13116, 630, 968, 1278, 8023, 2223, 1590, 3049, 593, 840, 11526, 5214, 1570, 1070, 711, 1313, 582, 13116, 630, 968, 1345, 8023, 2223, 1118, 741, 1378, 1426, 676, 15591, 1040, 910, 9521, 2831, 630, 10193, 10636, 582, 13116, 1070, 799, 3824, 652, 1287, 7558, 267, 13271, 7558, 1287, 3824, 652, 269, 910, 293, 2426, 328, 3132, 608, 14535, 10192, 547, 9585, 713, 594, 269, 4107, 13271, 4558, 741, 1426, 607, 25026, 4094, 630, 3697, 2831, 1040, 12518, 4558, 1426, 607, 20566, 269, 918, 269, 674, 25193, 1591, 17011, 723, 513, 2189, 10322, 565, 267, 23908, 8803, 565, 267, 799, 30283, 8501, 1336, 538, 27899, 1591, 17011, 700, 269, 31793, 2544, 3940, 1765, 335, 3174, 540, 513, 1114, 1826, 538, 2890, 30344, 2737, 4646, 1282, 6046, 6498, 269, 631, 269, 4107, 13271, 723, 1360, 1507, 22140, 267, 609, 2370, 16625, 5027, 269, 715, 269, 14600, 2670, 568, 3622, 12913, 1510, 27072, 540, 519, 6046, 23508, 454, 7072, 540, 13271, 661, 20915, 5328, 267, 670, 2678, 582, 13116, 630, 17057, 334, 515, 614, 582, 13116, 264, 2890, 6716, 1143, 3143, 28060, 267, 1875, 2173, 582, 850, 27387, 540, 2281, 630, 1506, 874, 2801, 1070, 29529, 1591, 6821, 630, 572, 696, 622, 1070, 1728, 13921, 606, 770, 558, 2670, 19554, 7623, 282, 25026, 4094, 454, 300, 9529, 27129, 748, 13271, 1728, 874, 2801, 630, 338, 1421, 1728, 6495, 264, 519, 2083, 14613, 540, 513, 9044, 949, 581, 1071, 523, 7514, 6776, 630, 7224, 3444, 6821, 264, 610, 723, 694, 24473, 630, 29589, 6821, 264, 1250, 4897, 1756, 630, 680, 269, 1250, 4897, 807, 264, 15985, 956, 610, 8126, 1194, 13999, 540, 1728, 874, 2801, 454, 31800, 6814, 27033, 32698, 13271, 16196, 513, 16303, 1302, 267, 1419, 676, 27503, 16196, 16770, 676, 5250, 540, 24032, 454, 20812, 874, 2801, 5754, 874, 2801, 616, 2966, 547, 2333, 519, 2627, 1858, 540, 13271, 543, 3976, 7520, 10338, 2904, 1332, 3728, 267, 909, 547, 476, 272, 5998, 829, 1554, 267, 607, 789, 3262, 2429, 513, 1426, 2707, 2904, 581, 1071, 523 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1007, 1867, 2938, 676, 24141, 2923, 2982, 1018, 269, 1546, 7491, 2583, 646, 518, 568, 519, 2244, 5057, 540, 519, 11439, 4229, 540, 27437, 1492, 1459, 1554, 24141, 7952, 729, 8547, 538, 476, 4198, 276, 607, 851, 540, 519, 9241, 4646, 7178, 24141, 15985, 525, 933, 15590, 1927, 609, 519, 7286, 24141, 26010, 543, 519, 561, 340, 1111, 342, 25377, 24141, 2011, 3196, 563, 763, 24141, 7952, 24141, 563, 30051, 15985, 525, 933, 15590, 269, 5125, 593, 512, 11698, 1767, 621, 1185, 17303, 32585, 930, 540, 922, 10136, 18611, 607, 851, 540, 519, 4550, 568, 22687, 538, 1775, 12036, 538, 519, 269, 4436, 903, 4108, 4987, 3028, 814, 1044, 14236, 7366, 540, 15985, 525, 933, 15590, 7980, 16143, 540, 3771, 321, 1681, 1318, 13617, 17119, 626, 10709, 902, 269, 634, 3355, 9837, 729, 711, 547, 16153, 1022, 5449, 530, 3530, 523, 521, 338, 2367, 855, 713, 729, 4166, 4957, 547, 1450, 5449, 2818, 909, 547, 519, 7584, 540, 522, 828, 560, 584, 3387, 2335, 325, 826, 327, 17243, 9114, 23133, 3935, 601, 563, 303, 559, 1824, 21616, 602, 789, 18085, 8038, 616, 29655, 269, 634, 16034, 540, 519, 24141, 11439, 4229, 538, 24141, 269, 634, 2829, 540, 27437, 616, 711, 4847, 547, 2226, 11439, 4229, 540, 741, 1378, 2094, 519, 24141, 11156, 2829, 602, 6927, 540, 8878, 2887, 883, 519, 6852, 5539, 540, 519, 5313, 2229, 563, 763, 3390, 540, 530, 3530, 523, 521, 338, 18884, 538, 24141, 2486, 3357, 547, 513, 2212, 950, 27437, 556, 28534, 543, 4646, 519, 15985, 525, 933, 15590, 538, 476, 4198, 276, 269, 654, 3530, 523, 521, 338, 543, 519, 15985, 525, 933, 15590, 269, 645, 526, 525, 557, 5313, 20237, 4229, 568, 519, 19618, 11439, 4229, 540, 27437, 543, 741, 3540, 7245, 543, 27147, 8128, 563, 293, 1168, 518, 982, 476, 736, 2600, 540, 24141, 903, 476, 6924, 20259, 8396, 21484, 641, 1562, 543, 7864, 982, 476, 1789, 2600, 540, 922, 476, 15793, 20789, 325, 7660, 32062, 1223, 8038, 538, 3735, 476, 1001, 279, 269, 1306, 540, 632, 4895, 476, 1001, 280, 519, 24141, 7952, 1185, 513, 4222, 540, 476, 277, 3374, 4649, 7980, 269, 4436, 903, 4108, 568, 835, 540, 519, 4102, 538, 21570, 563, 30051, 11198, 338, 930, 10136, 689, 1775, 12036, 607, 13253, 865, 541, 269, 634, 15985, 525, 933, 15590, 568, 513, 6952, 782, 2165, 538, 24141, 6220, 519, 7952, 26010, 543, 2011, 3196, 269, 3143, 2339, 1141, 596, 1413, 519, 637, 14524, 513, 1164, 20823, 24141, 11464, 6728, 539, 693, 15985, 525, 933, 15590, 22071, 538, 10874, 4802, 1767, 563, 289, 1495, 525, 933, 15590, 941, 1305, 909, 676, 519, 7022, 609, 519, 606, 867, 333, 2426, 964, 15985, 525, 335, 571, 525, 1211, 523, 579, 324, 828, 5884, 1019, 523, 560, 326, 2784, 2041, 2763, 747, 333, 684, 2102, 3768, 5884, 7833, 3541, 4421, 22760, 593, 519, 4493, 540, 3296, 476, 275, 5037, 476, 274, 540, 519, 4421, 520, 10622, 28856, 5313, 1876, 7282, 519, 3656, 4567, 540, 7980, 269, 0, 3682, 15251, 543, 13307, 616, 513, 4909, 540, 1148, 269, 1358, 4766, 519, 2702, 547, 1747, 606, 1843, 267, 610, 851, 540, 606, 1843, 267, 538, 519, 1318, 1747, 543, 693, 519, 1318, 2450, 269, 901, 4480, 6212, 593, 6111, 543, 6482, 267, 1256, 950, 21179, 908, 707, 1641, 563, 2467, 616, 2789, 2081, 540, 4974, 543, 7311, 713, 1641, 563, 15919, 596, 786, 946, 2789, 2553, 693, 519, 1482, 942, 267, 824, 2053, 596, 786, 1175, 991, 835, 540, 891, 2553, 267, 621, 2731, 5673, 593, 519, 1641, 543, 519, 1880, 14745, 602, 596, 616, 2870, 269, 6733, 693, 1142, 540, 891, 607, 1367, 2553, 547, 960, 593, 543, 2119, 856, 267, 1312, 538, 707, 2090, 543, 707, 12383, 267, 2394, 596, 1265, 707, 1378, 1505, 563, 2467, 616, 930, 4909, 3652, 602, 616, 1271, 547, 3274, 8357, 1047, 547, 1118, 707, 1272, 4443, 543, 707, 11247, 811, 5812, 269, 6056, 540, 891, 607, 707, 10253, 538, 2575, 610, 2053, 7515, 538, 13004, 630, 2254, 602, 594, 2479, 4121, 1022, 540, 519, 8545, 561, 565, 14386, 901, 1419, 10039, 547, 14169, 3652, 607, 8357, 2358, 873, 2636, 596, 547, 2721, 519, 3328, 1480, 9985, 1169, 942, 563, 7078, 281, 634, 4064, 616, 2141, 3368, 1259, 1524, 519, 3068, 267, 519, 10772, 1899, 909, 609, 519, 1283, 540, 519, 32071, 4900, 543, 3490, 540, 519, 9224, 3092, 563, 5475, 513, 1247, 540, 8026, 891, 4909, 3652, 596, 4465, 1406, 991, 547, 1589, 827, 873, 1022, 811, 543, 596, 3580, 1175, 2721, 873, 7157, 1510, 3206, 269, 594, 786, 4685, 883, 14169, 538, 513, 2104, 2022, 563, 27066, 616, 865, 1271, 950, 596, 616, 2324, 593, 1022, 1788, 269, 27814, 596, 1616, 811, 982, 835, 269, 594, 1419, 1118, 3003, 7099, 12545, 4502, 540, 8100, 585, 1142, 14745, 563, 2791, 666, 849, 1711, 707, 1378, 8100, 676, 1210, 476, 274, 291, 3292, 267, 1210, 3631, 543, 812, 928, 638, 1231, 610, 30286, 543, 2921, 6337, 540, 3054, 563, 2791, 1616, 547, 946, 707, 4704, 547, 1217, 707, 960, 269, 898, 666, 581, 2653, 547, 5299, 267, 855, 596, 1810, 1406, 991, 547, 267, 3079, 946, 621, 547, 948, 596, 4194, 2042, 602, 596, 7237, 538, 707, 960, 630, 704, 4257, 596, 6560, 609, 513, 1978, 851, 540, 14169, 610, 513, 1978, 5086, 264, 543, 547, 7618, 596, 540, 1919, 596, 917, 630, 8145, 4193, 596, 540, 1141, 519, 27894, 593, 519, 1560, 616, 610, 875, 1978, 6091, 1847, 8094, 2252, 596, 616, 5373, 606, 16494, 1641, 596, 1058, 1869, 723, 4704, 547, 1217, 707, 5373, 269, 630, 2252, 596, 2461, 5373, 513, 15743, 596, 1223, 723, 513, 561, 19123, 543, 513, 10627, 267, 610, 513, 561, 19123, 543, 513, 6177, 543, 581, 6273, 547, 2721, 1007, 2010, 540, 22645, 602, 1118, 707, 960, 2189, 8094, 3528, 26655, 707, 960, 543, 22348, 596, 602, 519, 1641, 2115, 547, 581, 6198, 1287, 4704, 2337, 596, 1246, 519, 3652, 540, 2470, 543, 1174, 519, 1526, 2774, 687, 610, 21179, 725, 596, 1616, 547, 960, 609, 269, 661, 326, 281, 596, 1174, 1141, 547, 1747, 519, 3597, 540, 519, 12209, 547, 1118, 621, 1825, 15344, 676, 3168, 693, 5017, 610, 596, 1174, 875, 2462, 519, 2212, 1058, 581, 5266, 676, 3168, 693, 28499, 563, 1607, 568, 1141, 596, 2721, 3515, 1472, 3615, 547, 1526, 1778, 873, 865, 602, 596, 1810, 1406, 979, 20991, 982, 519, 28286, 1540, 1858, 538, 707, 5373, 269, 898, 4992, 513, 3787, 7493, 267, 855, 621, 2306, 2631, 950, 2965, 5373, 563, 5331, 596, 616, 5373, 513, 4262, 15743, 543, 596, 1616, 1864, 547, 723, 513, 1804, 14969, 1710, 593, 1010, 2212, 269, 8571, 513, 3808, 532, 4216, 602, 18575, 519, 5207, 1448, 543, 519, 2949, 3337, 540, 519, 1710, 269, 1411, 786, 2760, 2721, 2250, 713, 1899, 269, 3767, 2721, 519, 1710, 3330, 713, 3337, 267, 6748, 621, 607, 513, 3391, 563, 2791, 666, 2721, 513, 3808, 532, 4216, 1472, 606, 3003, 1641, 267, 4180, 621, 3085, 1406, 2887, 1055, 519, 6316, 540, 519, 2985, 610, 1439, 909, 1932, 7381, 269, 1411, 666, 849, 946, 621, 593, 1367, 2934, 971, 607, 3946, 610, 3952, 3092, 547, 1118, 2386, 789, 6474, 519, 1964, 540, 707, 17114, 1354, 5373, 782, 519, 4835, 3877, 563, 27078, 894, 2230, 568, 519, 2230, 1063, 3615, 269, 1635, 5373, 519, 2942, 2230, 596, 1439, 909, 5373, 519, 1641, 610, 693, 2547, 519, 6316, 540, 519, 1641, 269, 5994, 602, 596, 616, 5373, 519, 2759, 856, 851, 269, 901, 568, 3226, 3730, 950, 4180, 513, 3623, 17924, 8291, 568, 6537, 7157, 610, 3843, 547, 960, 856, 875, 2484, 6306, 1114, 1560, 2694, 610, 3615, 616, 689, 1142, 824, 269, 594, 993, 7683, 15175, 1063, 3168, 693, 2318, 543, 2942, 2230, 950, 5373, 547, 2268, 519, 2949, 3623, 17924, 8291, 610, 4188, 17873, 269, 901, 568, 3226, 5363, 950, 3257, 2090, 610, 1210, 4704, 607, 596, 666, 6474, 519, 2942, 2230, 538, 519, 4704, 609, 602, 540, 707, 5373, 563, 1607, 3322, 1210, 707, 3490, 1702, 2553, 855, 2337, 596, 4019, 873, 543, 2327, 596, 723, 6027, 7157, 563, 8340, 606, 1843, 538, 707, 14745, 547, 946, 607, 513, 3490, 6482, 269, 1403, 596, 723, 513, 2407, 4137, 713, 1223, 581, 519, 2212, 267, 513, 1688, 610, 513, 3723, 269, 769, 513, 17855, 621, 1223, 581, 519, 2212, 610, 606, 3750, 269, 769, 513, 5251, 621, 1223, 581, 513, 3529, 610, 513, 2777, 610, 513, 1268, 269, 3973, 2268, 824, 2694, 540, 519, 3239, 1210, 713, 3490, 6482, 269, 661, 326, 519, 2062, 1301, 568, 4010, 835, 3723, 538, 3259, 267, 519, 1560, 568, 1535, 2179, 540, 9843, 1164, 267, 519, 2777, 568, 562, 4054, 1164, 3092, 269, 2422, 713, 3490, 6482, 547, 2638, 602, 3388, 538, 707, 3239, 2306, 2631, 538, 6935, 547, 835, 1776, 563, 27455, 12201, 616, 3615, 610, 2934, 602, 596, 666, 2141, 1413, 585, 543, 946, 607, 4808, 610, 7893, 2798, 547, 1747, 824, 3615, 269, 1358, 849, 948, 596, 5544, 519, 10047, 540, 1945, 563, 292, 326, 519, 6789, 3041, 543, 13662, 3041, 15956, 2995, 596, 519, 10047, 540, 519, 25637, 267, 519, 9224, 6645, 596, 519, 10047, 540, 519, 2212, 267, 519, 29523, 636, 543, 519, 27897, 7633, 1522, 948, 596, 8167, 519, 8731, 810, 7157, 267, 610, 519, 19704, 543, 1714, 28647, 1522, 948, 596, 1747, 519, 17873, 269, 589, 19506, 666, 581, 4376, 602, 596, 666, 7048, 593, 547, 2141, 581, 519, 1482, 267, 865, 1210, 519, 22403, 547, 1265, 21056, 568, 606, 2500, 1907, 538, 4137, 5373, 563, 307, 8962, 607, 10274, 454, 2791, 666, 946, 519, 2645, 538, 707, 3946, 547, 948, 596, 269, 2052, 1406, 4137, 856, 519, 5086, 540, 513, 1899, 286, 15579, 707, 15513, 1996, 519, 1899, 547, 1294, 519, 5086, 20501, 543, 1287, 5635, 621, 609, 1018, 596, 4076, 6537, 269, 1411, 666, 849, 946, 519, 6316, 540, 513, 11453, 630, 9418, 610, 2757, 264, 538, 519, 1482, 1259, 563, 294, 10676, 532, 513, 1899, 568, 950, 596, 2721, 621, 538, 519, 2011, 1354, 5373, 621, 593, 519, 2985, 269, 901, 2636, 596, 547, 1745, 1018, 519, 1899, 1058, 581, 899, 543, 798, 513, 1906, 2853, 1354, 22867, 547, 519, 2985, 269, 1411, 666, 849, 15293, 513, 1899, 936, 513, 4704, 3239, 543, 1287, 2119, 547, 5299, 519, 3350, 593, 707, 1378, 5373, 547, 6474, 606, 5086, 610, 7455, 4010, 563, 763, 1657, 2553, 666, 581, 1031, 950, 3843, 547, 5299, 1945, 4010, 1282, 513, 4487, 1353, 610, 950, 2324, 689, 9345, 543, 16462, 547, 2327, 3388, 568, 1825, 15344, 269, 7591, 1472, 609, 873, 543, 596, 786, 1265, 3054, 6923, 6616, 950, 547, 946, 1142, 540, 519, 2553, 563, 2252, 596, 723, 1022, 2055, 1745, 1863, 547, 4734, 873, 2630, 563, 2252, 596, 1131, 899, 547, 2263, 713, 1641, 2417, 594, 4363, 10992, 856, 1160, 14150, 779, 13334, 7044, 543, 519, 1433, 14301, 593, 519, 1318, 2427, 540, 519, 2634, 676, 5975, 1399, 29885, 0, 307, 15957, 6840, 2322, 741, 7772, 540, 1272, 543, 1565, 883, 3350, 1107, 789, 616, 2760, 1869, 543, 666, 946, 741, 3952, 607, 8748, 2645, 269, 898, 779, 2635, 547, 3802, 11953, 20584, 267, 2523, 607, 519, 4365, 2112, 916, 269, 594, 1705, 621, 609, 1250, 3214, 543, 1631, 519, 6264, 330, 1749, 282, 7189, 1256, 4363, 621, 269, 1924, 1491, 1055, 519, 10887, 543, 851, 820, 538, 3723, 5751, 267, 2591, 543, 3756, 547, 948, 707, 1453, 2263, 741, 3952, 563, 306, 599, 32597, 547, 707, 3952, 543, 3635, 2336, 1892, 654, 820, 909, 707, 19462, 609, 513, 2370, 530, 24513, 548, 269, 4032, 519, 19462, 4464, 543, 23651, 563, 1892, 700, 3424, 835, 3723, 693, 513, 942, 543, 1118, 519, 3723, 979, 5180, 543, 5180, 547, 519, 1318, 543, 547, 519, 2451, 269, 3973, 1448, 543, 4827, 563, 1892, 6875, 2462, 3268, 543, 4816, 3268, 269, 7420, 873, 547, 5577, 267, 18178, 543, 7086, 641, 563, 1892, 5620, 707, 22525, 9114, 593, 519, 6989, 609, 1010, 3952, 538, 519, 2011, 269, 23239, 754, 547, 1118, 707, 11953, 3952, 3802, 538, 519, 2011, 610, 29465, 513, 17919, 563, 13981, 2451, 689, 1318, 7498, 1607, 568, 513, 2182, 5578, 855, 11953, 3952, 666, 948, 269, 4635, 513, 11547, 762, 15262, 267, 1665, 707, 1126, 779, 1318, 3723, 609, 519, 4484, 681, 543, 1287, 519, 2451, 3723, 609, 606, 700, 269, 3767, 2253, 547, 2285, 2370, 12981, 547, 1404, 713 ]

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