Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 2883, 1344, 563, 16729, 616, 930, 824, 4102, 8051, 4703, 5665, 538, 17111, 563, 268, 14570, 1014, 4659, 540, 26133, 5398, 10055, 1218, 630, 300, 2975, 5183, 994, 268, 4659, 540, 20497, 543, 11633, 10055, 1218, 267, 17111, 630, 2975, 8656, 994, 268, 5948, 540, 15873, 1229, 26133, 10055, 1218, 630, 3722, 7563, 994, 268, 15873, 1229, 4659, 540, 5004, 10055, 1218, 630, 5746, 7246, 994, 268, 4659, 540, 15873, 1229, 10055, 1218, 538, 4789, 543, 12986, 630, 32177, 11246, 994, 268, 4659, 540, 15873, 1229, 10055, 1218, 538, 5245, 630, 2975, 8150, 264, 543, 595, 5183, 5245, 454, 16729, 568, 519, 1592, 540, 930, 540, 519, 1655, 20894, 10909, 538, 17111, 563, 763, 10748, 527, 744, 951, 697, 8274, 610, 589, 15477, 568, 3964, 896, 3487, 8633, 288, 540, 519, 14662, 7246, 476, 1960, 274, 799, 2968, 10512, 593, 476, 272, 4989, 476, 1001, 271, 547, 1020, 543, 3895, 606, 2500, 20894, 23388, 5943, 538, 17111, 563, 28398, 532, 267, 1433, 15209, 267, 543, 824, 17874, 2533, 1942, 538, 17111, 2356, 6238, 689, 681, 300, 4335, 543, 4422, 936, 681, 300, 5611, 271, 2687, 547, 519, 2470, 543, 4320, 540, 960, 563, 15987, 649, 1810, 1405, 917, 519, 3169, 2338, 267, 855, 621, 568, 6059, 602, 17111, 814, 4114, 269, 936, 476, 276, 28985, 3318, 2272, 1218, 2324, 538, 476, 1708, 273, 269, 0, 4489, 279, 282, 918, 9820, 518, 30247, 4083, 4682, 883, 24815, 543, 26554, 27891, 7665, 13153, 14068, 523, 9241, 2173, 842, 539, 4317, 14891, 26554, 27891, 26179, 661, 6975, 6410, 593, 476, 272, 560, 20913, 17389, 321, 330, 928, 19816, 269, 547, 2621, 543, 519, 1857, 7099, 267, 26554, 27891, 661, 6975, 779, 2229, 16425, 7442, 10937, 30247, 17389, 321, 330, 928, 19816, 267, 521, 345, 3469, 16695, 267, 513, 715, 2946, 5471, 832, 345, 5451, 326, 590, 345, 1539, 5451, 671, 655, 758, 337, 1092, 623, 5451, 4135, 10937, 630, 12892, 12047, 758, 7806, 27528, 3487, 324, 328, 1546, 28852, 1633, 12882, 9501, 291, 264, 552, 4445, 1731, 620, 777, 6403, 339, 6759, 10937, 269, 2991, 519, 9501, 291, 6462, 4436, 9525, 538, 2622, 2782, 594, 538, 476, 4489, 276, 267, 24006, 655, 7921, 543, 20913, 17389, 321, 330, 928, 19816, 1071, 1922, 15903, 519, 4550, 21351, 1975, 691, 659, 639, 13477, 630, 306, 4820, 752, 639, 321, 1495, 264, 799, 5555, 2968, 519, 918, 11520, 269, 20913, 17389, 321, 330, 928, 19816, 2112, 708, 1546, 345, 1897, 476, 4489, 275, 3541, 32489, 345, 15607, 2806, 613, 867, 6339, 324, 3541, 9501, 291, 267, 3541, 575, 1122, 523, 5884, 918, 686, 1122, 12921, 1042, 924, 4714, 332, 974, 269, 789, 616, 2083, 628, 536, 6929, 4628, 6857, 1004, 8275, 713, 596, 616, 711, 4805, 27205, 267, 4270, 269, 31400, 269, 1955, 808, 1695, 337, 476, 5002, 279, 530, 584, 1372, 2144, 14600, 6921, 1221, 964, 2776, 340, 29967, 4593, 1156, 2806, 613, 867, 6339, 523, 3873, 4926, 269, 4438, 519, 5437, 7169, 2073, 1352, 1071, 1922, 15903, 519, 11356, 12603, 681, 1774, 674, 1695, 928, 630, 634, 4414, 25035, 16532, 519, 3844, 1418, 540, 519, 1975, 691, 659, 626, 3350, 269, 9983, 676, 922, 22406, 4336, 2016, 602, 789, 941, 1031, 547, 513, 5266, 1530, 527, 476, 5002, 271, 14600, 6921, 1221, 3541, 1924, 345, 658, 12047, 758, 7806, 4593, 1156, 3487, 324, 328, 1546, 28852, 4133, 267, 2112, 2144, 13153, 476, 4489, 273, 20312, 476, 4489, 277, 552, 10719, 1775, 327, 17243, 2806, 613, 867, 6339, 523, 708, 25415, 560, 698, 267, 530, 334, 2144, 3954, 6402, 516, 23728, 7564, 1066, 4469, 6686, 326, 601, 3541, 9501, 291, 9825, 7806, 269, 476, 1428, 32220, 1626, 269, 20913, 17389, 321, 330, 928, 19816, 2520, 327, 23152, 974, 11634, 517, 642, 528, 1629, 8210, 22978, 654, 3881, 330, 686, 1122, 1990, 340, 3954, 654, 677, 325, 6686, 327, 17243, 333, 964, 3095, 523, 4469, 6686, 326, 1564, 6418, 15595, 321, 3541, 9501, 291, 269, 5637, 941, 13713, 23827, 730, 543, 1287, 23689, 267, 609, 24006, 655, 7921, 779, 1560, 16207, 883, 519, 8092, 933, 15590, 22575, 269, 2701, 11130, 281, 834, 2171, 1590, 2327, 519, 3376, 652, 2078, 609, 519, 13999, 269, 476, 1789, 268, 4029, 282, 15053, 534, 267, 14956, 269, 29314, 298, 299, 13263, 281, 631, 4106, 541, 1242, 267, 2776, 5937, 11921, 17318, 20491, 5345, 1112, 338, 4563, 12624, 338, 20431, 3539, 7767, 528, 16296, 267, 667, 5085, 288, 310, 22664, 281, 26812, 626, 5900, 2931, 543, 966, 663, 531, 3278, 1773, 10165, 623, 13873, 11856, 269, 20913, 6754, 4864, 26179, 17389, 321, 330, 928, 19816, 630, 23389, 281, 1496, 383, 489, 2993, 383, 489, 335, 30893, 32723, 9809, 339, 316, 630, 5148, 476, 1724, 4864, 476, 6942, 272, 12882, 476, 1428, 5130, 476, 4489, 280, 264, 729, 513, 4436, 24180, 267, 8385, 538, 519, 4317, 14891, 9549, 540, 5125, 630, 9915, 291, 264, 543, 2663, 513, 1071, 1922, 10133, 609, 28266, 24006, 655, 7921, 540, 519, 1975, 691, 659, 626, 13477, 543, 519, 19797, 9549, 540, 5125, 799, 8237, 2476, 689, 519, 9501, 291, 269, 538, 2490, 3361, 519, 1975, 691, 659, 1235, 543, 2475, 11520, 5718, 547, 1020, 513, 2631, 5637, 17389, 321, 330, 928, 19816, 543, 24006, 655, 7921, 941, 5555, 29802, 585, 4550, 21351, 2534, 607, 519, 4436, 15194, 1362, 5342, 922, 11440, 626, 2112, 269, 769, 476, 4489, 275, 519, 19157, 5639, 538, 519, 9501, 291, 1996, 13359, 2112, 17099, 547, 4436, 2229, 729, 513, 9097, 24180, 1244, 14280, 3957, 20913, 17389, 321, 330, 928, 19816, 269, 630, 1704, 1070, 1323, 27314, 476, 1220, 267, 1822, 4600, 1107, 930, 11439, 1107, 3357, 856, 538, 1489, 540, 519, 1289, 269, 5412, 476, 4489, 279, 547, 5150, 519, 1489, 540, 519, 1869, 3532, 25415, 338, 933, 15590, 538, 4838, 2066, 2342, 543, 6038, 519, 1158, 269, 898, 2968, 606, 11439, 17431, 267, 607, 1082, 4547, 32205, 547, 9718, 1996, 7128, 6285, 269, 2201, 5130, 476, 1724, 267, 476, 4489, 277, 267, 20913, 17389, 321, 330, 928, 19816, 267, 519, 1134, 8153, 12316, 6205, 543, 3486, 626, 18545, 540, 2622, 2782, 594, 267, 12882, 22935, 29527, 11412, 534, 779, 1034, 1271, 1620, 540, 513, 22640, 4742, 968, 320, 632, 2102, 4733, 2527, 1131, 723, 1100, 2219, 3564, 602, 540, 11981, 519, 5337, 984, 548, 5418, 9778, 540, 519, 5175, 3258, 1848, 1548, 1732, 1797, 585, 513, 632, 2102, 4733, 2860, 547, 3262, 3294, 982, 676, 1818, 513, 1004, 1831, 971, 513, 632, 2102, 4733, 2527, 982, 547, 18609, 873, 547, 851, 820, 538, 5337, 984, 548, 2507, 3367, 811, 9732, 269, 602, 24006, 10603, 32490, 729, 711, 4628, 593, 4604, 609, 513, 10795, 21340, 589, 7169, 9730, 729, 4646, 1063, 519, 2101, 6105, 3238, 547, 11282, 2534, 1519, 519, 2475, 11520, 267, 609, 24847, 268, 11526, 17740, 807, 1036, 9323, 3001, 547, 19582, 519, 3135, 540, 513, 4436, 24041, 11356, 543, 1305, 909, 3046, 878, 3547, 538, 16973, 1141, 789, 1185, 1489, 269, 5990, 1975, 691, 659, 626, 772, 19828, 540, 5130, 476, 4489, 280, 538, 12670, 267, 5125, 568, 1419, 5701, 609, 4819, 17309, 676, 12206, 267, 1247, 519, 3084, 1235, 945, 26793, 621, 616, 16175, 642, 559, 1881, 607, 1486, 334, 9539, 21532, 28749, 269, 634, 4139, 19797, 11873, 267, 1287, 607, 1631, 267, 1281, 711, 21183, 2476, 689, 1899, 3613, 745, 24327, 269, 20913, 17389, 321, 330, 928, 19816, 630, 6942, 272, 268, 4489, 280, 264, 729, 513, 4436, 24180, 17695, 626, 267, 5856, 543, 2797, 6205, 269, 519, 9501, 291, 779, 1292, 5604, 543, 1820, 1568, 269, 1879, 519, 2290, 3018, 2663, 267, 24006, 655, 7921, 543, 17389, 321, 330, 928, 19816, 941, 1336, 543, 18486, 269, 19382, 26310, 2818, 540, 519, 5428, 267, 3366, 676, 20913, 17389, 321, 330, 928, 19816, 543, 28266, 24006, 655, 7921, 267, 9244, 10353, 519, 2112, 267, 543, 519, 9501, 291, 4166, 11124, 513, 8237, 267, 609, 519, 2451, 1235, 8108, 519, 18763, 4317, 14891, 9549, 540, 5125, 630, 4785, 11520, 264, 543, 519, 811, 9097, 1975, 691, 659, 626, 13477, 269, 2986, 891, 2043, 281, 24955, 808, 690, 545, 1127, 267, 6754, 2274, 12858, 543, 28266, 24006, 10603, 32490, 941, 6014, 269, 1261, 729, 519, 4651, 540, 20913, 17389, 321, 330, 928, 19816, 543, 23323, 528, 17389, 321, 330, 928, 19816, 269, 729, 1107, 630, 1839, 264, 543, 513, 6071, 476, 1015, 267, 1822, 1004, 646, 17660, 17389, 321, 330, 928, 19816, 543, 24006, 10603, 32490, 779, 4641, 2705, 568, 602, 519, 3084, 1235, 1107, 513, 6390, 519, 6154, 1731, 528, 1186, 1107, 941, 538, 789, 2322, 1524, 835, 540, 22255, 514, 779, 1655, 13922, 585, 10825, 519, 12157, 9917, 341, 1731, 5240, 27294, 3040, 14640, 13305, 1314, 343, 11873, 8750, 539, 676, 7642, 269, 5272, 942, 594, 1413, 693, 519, 3068, 540, 513, 737, 833, 267, 782, 594, 1294, 568, 519, 1034, 13842, 995, 267, 19220, 995, 19619, 540, 530, 1678, 619, 593, 519, 4541, 269, 13022, 1421, 6032, 269, 1879, 519, 2475, 11520, 6410, 547, 21907, 4708, 609, 9501, 291, 4436, 5518, 26179, 661, 6975, 267, 2705, 267, 519, 918, 11520, 2451, 519, 21829, 9730, 543, 10288, 606, 1561, 14876, 18086, 593, 2229, 19698, 543, 6283, 5989, 269, 1290, 514, 1181, 267, 543, 519, 10819, 540, 513, 3864, 7169, 476, 4489, 279, 268, 4572, 274, 685, 2073, 20913, 17389, 321, 330, 928, 19816, 6340, 693, 513, 4708, 28487, 538, 12670, 269, 3661, 602, 519, 942, 729, 1318, 547, 10131, 513, 2407, 8397, 21340, 17652, 267, 538, 519, 14692, 540, 519, 4279, 5239, 31012, 7169, 267, 16716, 538, 782, 519, 2112, 6194, 2477, 2799, 20427, 538, 476, 4489, 278, 543, 883, 476, 4489, 279, 267, 855, 2799, 1034, 540, 782, 538, 5125, 269, 32574, 729, 2016, 5639, 538, 606, 6595, 5870, 540, 1975, 691, 659, 1235, 267, 2475, 11520, 630, 2420, 1070, 6736, 741, 31681, 2705, 24006, 10603, 32490, 543, 519, 824, 1975, 691, 659, 1235, 267, 971, 607, 808, 690, 545, 1127, 267, 4628, 8149, 2933, 547, 519, 32574, 267, 630, 2537, 264, 799, 729, 2944, 609, 519, 2407, 1702, 540, 22255, 514, 779, 6014, 726, 523, 760, 582, 550, 10706, 585, 8744, 827, 21340, 4838, 538, 5125, 281, 20913, 681, 1228, 330, 269, 1717, 1452, 1975, 691, 659, 639, 5022, 4797, 547, 581, 2854, 543, 6933, 730, 547, 519, 1439, 540, 519, 2112, 1107, 4758, 930, 3841, 775, 547, 519, 9277, 2048, 1805, 629, 538, 519, 7982, 685, 10828, 1107, 5103, 808, 690, 545, 1127, 267, 17389, 321, 330, 928, 19816, 543, 24006, 10603, 32490, 1373, 29802, 585, 6822, 819, 676, 519, 15875, 4436, 8128, 269, 19191, 789, 1223, 1265, 630, 1789, 1070, 607, 1134, 607, 2312, 856, 519, 21340, 14739, 1076, 476, 3066, 268, 1789, 267, 7137, 3027, 267, 14956, 269, 24006, 655, 7921, 267, 899, 570, 12783, 5652, 267, 1419, 13026, 513, 1298, 2077, 2990, 1369, 519, 4317, 14891, 3350, 267, 855, 7429, 570, 12783, 5652, 1352, 3357, 547, 1294, 519, 991, 585, 606, 6896, 642, 1481, 731, 543, 21438, 3486, 538, 519, 3803, 1296, 540, 1200, 1272, 269, 11153, 2395, 2663, 538, 28554, 7559, 267, 3751, 32400, 8633, 19679, 22540, 607, 4838, 2456, 3576, 519, 2749, 543, 10294, 28554, 7559, 513, 14081, 269, 4173, 1560, 729, 711, 16626, 2394, 3592, 2947, 3275, 2663, 1310, 519, 5162, 4672, 1185, 24268, 269, 4436, 4838, 2456, 3459, 4259, 909, 20709, 685, 543, 22307, 4536, 685, 6076, 15078, 6273, 676, 519, 6739, 7737, 328, 1115, 269, 2290, 3018, 1310, 922, 15713, 18322, 630, 20103, 476, 1789, 267, 476, 4489, 279, 547, 5130, 476, 272, 267, 476, 4489, 280, 1070, 519, 4436, 13999, 9782, 909, 538, 1018, 568, 1634, 607, 519, 1975, 691, 545, 626, 772, 19828, 269, 476, 4489, 275, 2357, 933, 9528, 974, 2144, 581, 328, 3541, 2806, 560, 9404, 2426, 3331, 376, 828, 5884, 918, 686, 1122, 12921, 1042, 924, 694, 710, 2098, 755, 9404, 2426, 269, 1689, 538, 2229, 543, 519, 1379, 2497, 547, 30739, 21340, 22255, 514, 1767, 602, 281, 968, 1103, 19220, 540, 1200, 9073, 1352, 729, 11652, 3788, 585, 721, 30867, 23914, 269, 1635, 5437, 476, 280, 267, 972, 729, 513, 2489, 10880, 2066, 519, 2898, 2197, 267, 543, 20709, 685, 543, 22307, 4536, 685, 6076, 15078, 3576, 1852, 540, 12670, 543, 824, 2101, 4872, 269, 5637, 941, 1318, 2685, 10294, 12316, 12004, 344, 3464, 547, 519, 19797, 2014, 543, 519, 918, 11520, 729, 556, 23457, 269, 18004, 538, 2274, 760, 345, 580, 267, 646, 729, 267, 607, 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 ]
[ 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, 19565, 11470, 543, 519, 23830, 540, 7087, 3778, 910, 10289, 21771, 540, 29661, 1222, 543, 1763, 7808, 12140, 998, 27211, 1849, 3599, 543, 15332, 692, 296, 269, 4985, 454, 288, 269, 11137, 540, 11174, 5708, 3332, 602, 6212, 593, 6805, 4529, 543, 1686, 454, 289, 269, 11957, 540, 6041, 543, 2686, 8417, 538, 1453, 779, 3332, 454, 290, 269, 17583, 1063, 29426, 4798, 543, 3140, 2796, 1369, 713, 9135, 692, 2862, 269, 4197, 519, 6987, 847, 281, 27211, 1849, 3599, 1530, 4060, 513, 674, 28232, 454, 288, 269, 5811, 540, 519, 1292, 1915, 779, 8404, 1107, 7287, 585, 5763, 543, 922, 6286, 454, 289, 269, 17564, 540, 875, 519, 1650, 18953, 2390, 2596, 2804, 3741, 971, 607, 2504, 267, 5385, 267, 543, 4616, 454, 290, 269, 11879, 3206, 2055, 3823, 1570, 1143, 543, 2418, 538, 4207, 2486, 692, 7656, 269, 5548, 1324, 883, 27478, 9177, 543, 26492, 454, 288, 269, 17461, 1344, 593, 27478, 2950, 267, 741, 2757, 6197, 267, 543, 4978, 454, 289, 269, 24956, 545, 11269, 540, 27478, 2528, 538, 3332, 585, 1762, 3988, 454, 290, 269, 11242, 543, 10467, 547, 15052, 1702, 540, 27478, 5389, 267, 1519, 6575, 543, 13492, 267, 1426, 7041, 2409, 267, 7802, 5137, 267, 3092, 780, 4353, 269, 8466, 12745, 281, 1763, 7808, 12140, 543, 4256, 7831, 532, 8177, 454, 288, 269, 26346, 7778, 540, 10821, 3506, 543, 741, 1909, 538, 4516, 779, 7810, 2250, 454, 289, 269, 18948, 1063, 1114, 3029, 540, 17091, 543, 21939, 4507, 5001, 454, 290, 269, 9608, 6386, 543, 16499, 23888, 689, 15000, 540, 10821, 3506, 454, 291, 269, 14506, 5751, 547, 1174, 519, 29076, 8194, 3361, 676, 891, 5238, 692, 309, 269, 20710, 3101, 717, 2355, 3414, 9085, 281, 25085, 618, 543, 23046, 454, 288, 269, 22718, 2835, 2854, 676, 7087, 4589, 945, 10994, 2352, 5396, 899, 10821, 3506, 543, 741, 4539, 454, 289, 269, 17291, 16779, 6835, 24829, 998, 2984, 1305, 538, 6805, 2950, 454, 290, 269, 28518, 5339, 2645, 6964, 676, 5830, 547, 5968, 1950, 4664, 543, 2833, 692, 9654, 269, 26472, 9061, 4211, 8590, 15511, 543, 26532, 16624, 454, 288, 269, 18964, 1930, 5717, 1472, 6213, 3584, 4843, 538, 5697, 13220, 454, 289, 269, 11150, 585, 2870, 2922, 5624, 1141, 3309, 5380, 666, 581, 3838, 31635, 454, 290, 269, 10020, 25178, 2238, 5009, 6568, 543, 17604, 1851, 1053, 692, 23997, 269, 16792, 6355, 14362, 6599, 1227, 543, 4317, 569, 13786, 4601, 454, 288, 269, 28038, 5683, 9270, 950, 4259, 909, 4213, 543, 10451, 12434, 454, 289, 269, 8865, 1353, 2079, 540, 1514, 16904, 3964, 676, 610, 30364, 6805, 5095, 454, 290, 269, 5071, 4161, 281, 12861, 4264, 1870, 2093, 6322, 693, 8497, 6805, 6561, 1247, 5807, 2146, 1646, 692, 309, 7656, 269, 10495, 543, 15937, 5741, 454, 288, 269, 13658, 8240, 543, 4255, 10442, 8223, 540, 1883, 2035, 5941, 2429, 519, 9074, 454, 289, 269, 3194, 1957, 7084, 3695, 513, 1808, 2460, 1644, 547, 6805, 20835, 267, 8739, 14426, 11091, 267, 610, 7067, 3157, 454, 290, 269, 19809, 1983, 13186, 543, 3803, 1895, 1788, 13686, 10771, 5698, 267, 2792, 267, 543, 2565, 3206, 5759, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 3599, 1849, 3599, 11394, 513, 19539, 1315, 13191, 744, 262, 3519, 24335, 563, 301, 3599, 1849, 3599, 16137, 782, 827, 4358, 513, 1870, 543, 1818, 513, 19539, 538, 519, 18749, 3184, 1433, 538, 519, 27211, 1849, 3599, 3184, 1433, 3126, 676, 1715, 3840, 8648, 1655, 18522, 2319, 13191, 744, 262, 3519, 24335, 543, 28120, 2776, 1170, 19371, 518, 256, 1215, 1390, 1131, 621, 581, 547, 581, 14547, 6253, 520, 781, 17715, 585, 3638, 269, 27211, 1849, 3599, 2386, 14659, 865, 267, 543, 609, 519, 948, 540, 1200, 1655, 3659, 267, 645, 872, 267, 1352, 5036, 856, 547, 1118, 513, 19539, 835, 1259, 610, 1776, 269, 1809, 950, 1919, 1810, 1405, 979, 607, 9709, 267, 27211, 16137, 1945, 1256, 811, 3407, 1606, 727, 540, 519, 1655, 1919, 538, 1272, 616, 1863, 563, 268, 9768, 281, 476, 24879, 26297, 280, 7597, 271, 454, 268, 9768, 281, 476, 7818, 24879, 26297, 280, 7597, 271, 454, 268, 9768, 281, 476, 7818, 11820, 279, 1839, 16960, 278, 454, 268, 8447, 13517, 281, 476, 15836, 3817, 6902, 476, 2641, 4699, 563, 268, 21629, 281, 1496, 20278, 540, 8313, 711, 4857, 316, 2433, 22489, 322, 3326, 1231, 4132, 27231, 7734, 267, 476, 1001, 277, 563, 30106, 13759, 10748, 1466, 8074, 10573, 454, 13356, 5317, 3747, 281, 476, 3445, 630, 854, 1164, 264, 12054, 4842, 3747, 281, 476, 4200, 630, 854, 1164, 264, 16522, 12519, 3747, 281, 476, 5952, 630, 854, 1164, 264, 12856, 3747, 281, 476, 6434, 630, 854, 1164, 264, 22858, 850, 454, 347, 19138, 5358, 6176, 8074, 10573, 454, 10907, 5120, 730, 24153, 8121, 9437, 476, 275, 269, 272, 476, 272, 476, 9264, 277, 866, 563, 5353, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 27478, 1315, 8466, 11470, 543, 1763, 7808, 12140, 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, 7043, 3516, 267, 538, 513, 30152, 2244, 1572, 4639, 8071, 807, 267, 972, 5030, 513, 8797, 4622, 3957, 8176, 8633, 269, 2290, 1554, 267, 646, 1558, 513, 1895, 540, 12703, 21847, 1634, 607, 519, 31557, 267, 3366, 676, 513, 18979, 812, 3957, 681, 18099, 269, 1452, 3345, 5443, 267, 607, 789, 941, 1572, 267, 3357, 689, 519, 3338, 538, 519, 7187, 15798, 267, 1141, 519, 3141, 18923, 695, 821, 1282, 5162, 3275, 269, 901, 19832, 519, 1004, 540, 4639, 8071, 807, 267, 945, 9289, 875, 971, 2178, 2367, 1223, 2097, 689, 4025, 865, 4411, 543, 4158, 269, 9741, 1705, 789, 917, 602, 519, 3668, 540, 7943, 4847, 891, 21847, 547, 10110, 811, 12192, 667, 267, 1818, 873, 6793, 2439, 21914, 8176, 8633, 543, 681, 18099, 4646, 513, 6125, 543, 1500, 513, 14097, 267, 799, 2663, 2968, 1634, 607, 519, 15521, 540, 12142, 4211, 331, 1515, 1606, 584, 7232, 696, 324, 269, 3414, 713, 6876, 267, 519, 3148, 649, 1631, 1289, 11870, 22929, 1131, 1332, 856, 540, 519, 3838, 11182, 269, 3683, 942, 267, 11870, 22929, 1336, 3294, 896, 519, 12081, 540, 3532, 2296, 15438, 1107, 930, 1463, 17710, 267, 1866, 13713, 8066, 1379, 267, 899, 7917, 4354, 29006, 610, 2983, 32015, 7233, 10402, 564, 269, 1717, 267, 1813, 547, 7526, 543, 22195, 267, 519, 4190, 3338, 540, 11870, 22929, 941, 10645, 676, 519, 16529, 3751, 17722, 4083, 540, 5333, 269, 769, 476, 6344, 275, 267, 1310, 1296, 540, 15539, 267, 519, 2296, 16313, 338, 5795, 909, 741, 1318, 995, 6811, 936, 11870, 22929, 267, 5329, 1152, 519, 7404, 1726, 25979, 10195, 593, 519, 2296, 19305, 780, 3080, 6505, 4832, 1554, 267, 1079, 8049, 2828, 3957, 27878, 332, 850, 543, 1772, 8475, 548, 18389, 1229, 2282, 519, 23795, 540, 519, 8756, 267, 14952, 532, 693, 519, 5836, 6329, 269, 1358, 5941, 1686, 543, 519, 8941, 5293, 1524, 998, 5481, 540, 3885, 9674, 676, 519, 1360, 7297, 1354, 873, 269, 22582, 267, 789, 19481, 1945, 21743, 1350, 626, 2287, 1851, 519, 890, 6277, 956, 2059, 519, 13272, 269, 19196, 1243, 569, 267, 789, 13603, 909, 1018, 6743, 899, 15998, 540, 20341, 267, 1142, 4062, 19918, 21243, 780, 32723, 332, 850, 5828, 547, 1010, 3659, 1772, 8475, 548, 543, 4280, 267, 834, 3963, 798, 891, 4773, 1413, 1114, 982, 938, 1378, 8286, 286, 4208, 616, 789, 2027, 8119, 1677, 799, 1772, 8475, 548, 14452, 267, 834, 4322, 949, 723, 14612, 2066, 5318, 9883, 689, 824, 4529, 267, 5645, 1934, 676, 4123, 12798, 543, 14768, 269, 3807, 1589, 9789, 572, 15998, 1522, 1256, 30339, 689, 1346, 2899, 16162, 1584, 539, 11870, 22929, 3338, 15323, 2026, 519, 1079, 4797, 3695, 267, 789, 4362, 1585, 13742, 16559, 1472, 267, 1519, 2025, 11113, 23678, 1386, 609, 6698, 23401, 1312, 3943, 543, 2296, 1200, 12245, 787, 269, 634, 5918, 334, 16545, 782, 12204, 540, 3078, 2984, 8220, 11870, 22929, 547, 4789, 543, 3564, 269, 1325, 553, 267, 1498, 789, 20114, 4241, 4030, 883, 519, 2250, 267, 519, 3020, 9814, 19388, 1229, 281, 1215, 666, 1620, 1686, 948, 721, 5660, 2686, 15377, 543, 4296, 17364, 17407, 543, 5553, 286, 1656, 1247, 27878, 332, 850, 543, 1772, 8475, 548, 7948, 1405, 2626, 713, 2243, 7357, 267, 789, 6785, 2620, 3330, 602, 2463, 543, 7279, 2509, 11397, 26441, 4547, 8521, 9322, 543, 1702, 267, 6028, 4055, 585, 2104, 5481, 547, 1451, 543, 10027, 880, 741, 7104, 6561, 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, 9223, 281, 6176, 281, 476, 910, 634, 667, 1276, 344, 540, 11870, 22929, 8057, 856, 540, 519, 476, 26605, 15521, 540, 12142, 4211, 331, 1515, 1606, 584, 7232, 696, 324, 1063, 3751, 8176, 8633, 540, 4639, 8071, 807, 543, 681, 18099, 267, 6205, 540, 519, 31557, 269, 3245, 476, 11793, 277, 2394, 476, 6344, 275, 621, 729, 4371, 676, 519, 15438, 540, 4789, 267, 4849, 585, 519, 5618, 4341, 540, 7917, 4354, 29006, 630, 10482, 278, 1556, 6187, 264, 543, 2983, 32015, 7233, 10402, 564, 630, 14625, 30329, 2004, 1040, 11870, 22929, 729, 10294, 585, 10623, 527, 676, 17722, 4083, 540, 5333, 538, 476, 6344, 273, 267, 543, 25868, 676, 3196, 540, 7916, 538, 476, 6344, 275, 269, 898, 7283, 31713, 8513, 2394, 519, 15521, 540, 8303, 540, 476, 10219, 280, 267, 950, 519, 2296, 19988, 338, 524, 17660, 741, 3409, 267, 4849, 585, 519, 19305, 11866, 269, 476, 910, 11870, 22929, 630, 29455, 2073, 22374, 281, 834, 32207, 16184, 773, 2580, 689, 6196, 3943, 834, 32207, 11961, 2580, 12683, 540, 834, 32207, 656, 2580, 8385, 689, 519, 2262, 585, 834, 333, 2180, 2006, 257, 538, 1896, 32090, 4654, 264, 568, 835, 540, 519, 4525, 540, 5333, 267, 10199, 7222, 547, 519, 3140, 667, 1276, 344, 540, 11870, 22929, 269, 476, 910, 4789, 568, 513, 2197, 602, 568, 851, 540, 519, 2136, 8003, 269, 898, 8843, 2244, 10665, 609, 10430, 547, 519, 5087, 543, 12986, 547, 519, 7178, 269, 634, 9721, 7256, 6013, 22070, 540, 1621, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4985, 912, 1103, 2221, 781, 1158, 267, 4683, 2127, 616, 4742, 5051, 10053, 1813, 547, 2551, 2208, 543, 9194, 269, 901, 814, 3366, 547, 1585, 2591, 267, 1519, 6808, 20316, 267, 5533, 267, 8027, 26622, 267, 543, 3354, 4145, 269, 1306, 16413, 267, 4683, 24990, 267, 543, 9946, 267, 621, 568, 2629, 547, 1174, 875, 547, 4383, 4683, 5860, 3927, 1247, 4180, 3106, 267, 6940, 267, 543, 2298, 540, 1272, 585, 2749, 17743, 619, 269, 2290, 1858, 602, 3340, 3007, 568, 7114, 2043, 538, 29822, 20651, 4872, 267, 3226, 693, 6283, 32387, 899, 29032, 269, 901, 1557, 7710, 519, 1523, 540, 7464, 9517, 267, 922, 6388, 676, 519, 18815, 8232, 10029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 785, 1182, 319, 616, 519, 17523, 540, 519, 8728, 547, 581, 1031, 585, 15418, 543, 4152, 267, 2387, 583, 4286, 319, 543, 2387, 640, 701, 319, 616, 519, 2010, 540, 519, 9136, 267, 543, 2387, 1214, 701, 319, 568, 519, 1826, 540, 519, 6316, 780, 2171, 1101, 1265, 519, 1297, 540, 3755, 543, 3688, 538, 519, 3113, 269, 3973, 267, 649, 1265, 519, 2707, 543, 10278, 9136, 585, 519, 15418, 543, 1449, 8728, 269, 1452, 616, 10736, 547, 11885, 14249, 780, 7661, 267, 649, 1711, 519, 15418, 543, 1449, 14290, 1210, 519, 2387, 1723, 334, 24624, 319, 1599, 689, 519, 2387, 2675, 27251, 4732, 27785, 319, 9074, 269, 1452, 14290, 616, 23661, 14290, 267, 799, 1797, 602, 1034, 540, 741, 2609, 616, 4642, 269, 901, 568, 3730, 585, 8204, 11708, 267, 607, 1034, 8424, 540, 9136, 616, 711, 4448, 780, 1012, 16453, 1944, 18880, 692, 31863, 1436, 568, 513, 1184, 540, 14291, 606, 4890, 2039, 540, 2418, 883, 513, 3044, 2039, 540, 2418, 267, 2356, 1063, 476, 271, 543, 476, 272, 269, 901, 568, 1419, 2944, 1354, 8023, 1239, 883, 513, 3684, 1565, 2203, 780, 1103, 519, 2016, 3009, 267, 2387, 15035, 5332, 5436, 1125, 319, 1599, 568, 1031, 547, 3339, 1125, 519, 2418, 780, 3499, 7090, 454, 3698, 5276, 5332, 5436, 1125, 263, 11161, 2187, 825, 2132, 630, 11161, 910, 2418, 269, 2381, 263, 271, 267, 1832, 323, 15501, 18989, 4297, 1315, 26444, 1038, 630, 11161, 27982, 263, 271, 267, 1832, 323, 15501, 18989, 264, 910, 2418, 269, 2381, 263, 271, 267, 1832, 323, 15501, 18989, 4917, 7884, 1103, 713, 1599, 267, 649, 1101, 1265, 519, 5934, 543, 5021, 2418, 538, 519, 3403, 5044, 269, 3973, 267, 649, 10208, 519, 5934, 1871, 689, 1142, 1871, 543, 7941, 676, 519, 2039, 540, 519, 2418, 269, 901, 5849, 602, 782, 519, 2418, 616, 1063, 476, 271, 543, 476, 272, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 1092, 314, 3712, 316, 815, 1239, 454, 825, 585, 552, 6943, 538, 575, 269, 1214, 6647, 912, 1038, 585, 897, 267, 1239, 538, 575, 269, 539, 2471, 314, 1214, 701, 4940, 11907, 29096, 10031, 2018, 5721, 14682, 269, 539, 2471, 314, 1214, 701, 4940, 11907, 314, 3712, 316, 815, 1239, 314, 30221, 14682, 269, 539, 2471, 314, 1214, 701, 4940, 11907, 314, 323, 6921, 9950, 2839, 316, 6540, 825, 2132, 5721, 14682, 692, 3698, 1628, 26371, 15305, 24624, 14116, 267, 1130, 318, 785, 1182, 267, 1449, 318, 785, 1182, 267, 579, 6943, 267, 621, 4286, 267, 552, 6943, 2187, 825, 562, 318, 22852, 815, 575, 8542, 3784, 15058, 5332, 3941, 263, 583, 4286, 994, 825, 562, 318, 19477, 815, 575, 8542, 3784, 15058, 5332, 3941, 263, 640, 701, 994, 825, 1130, 5334, 21683, 267, 1130, 5091, 560, 815, 575, 26098, 318, 539, 2471, 263, 1998, 318, 785, 1182, 267, 552, 6943, 284, 1214, 701, 994, 825, 1449, 5334, 21683, 267, 1449, 5091, 560, 815, 575, 26098, 318, 539, 2471, 6025, 652, 318, 785, 1182, 267, 552, 6943, 284, 1214, 701, 994, 825, 1130, 5334, 21683, 815, 1130, 5334, 21683, 8542, 17056, 4590, 825, 1130, 5091, 560, 815, 1130, 5091, 560, 8542, 17056, 4590, 825, 1449, 5334, 21683, 815, 1449, 5334, 21683, 8542, 17056, 4590, 825, 1449, 5091, 560, 815, 1449, 5091, 560, 8542, 17056, 4590, 825, 1130, 24624, 815, 521, 4944, 16691, 334, 24624, 9230, 12639, 269, 2158, 318, 3697, 263, 1998, 5334, 21683, 1070, 630, 1998, 5334, 21683, 267, 1130, 5091, 560, 24270, 630, 333, 318, 22852, 267, 562, 318, 19477, 4917, 825, 1449, 24624, 815, 521, 4944, 16691, 334, 24624, 9230, 12639, 269, 2158, 318, 3697, 6025, 652, 5334, 21683, 1070, 630, 11687, 5334, 21683, 267, 1449, 5091, 560, 24270, 630, 333, 318, 22852, 267, 562, 318, 19477, 11723, 825, 2132, 1130, 24624, 267, 1449, 24624, 692, 3698, 5276, 5332, 5436, 1125, 263, 11161, 2187, 825, 2132, 630, 11161, 910, 2418, 269, 2381, 263, 271, 267, 1832, 323, 15501, 18989, 4297, 1315, 26444, 1038, 630, 11161, 27982, 263, 271, 267, 1832, 323, 15501, 18989, 264, 910, 2418, 269, 2381, 263, 271, 267, 1832, 323, 15501, 18989, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 307, 2728, 330, 307, 2728, 330, 14175, 10480, 305, 664, 10480, 7054, 3419, 730, 296, 337, 3419, 730, 454, 289, 17495, 541, 341, 27821, 289, 17495, 541, 341, 27821, 476, 274, 267, 4817, 273, 274, 267, 4817, 273, 476, 1704, 267, 22903, 1704, 267, 22903, 454, 295, 657, 333, 26196, 295, 657, 333, 26196, 476, 277, 267, 29214, 277, 267, 29214, 476, 276, 267, 280, 3199, 276, 267, 280, 3199, 454, 306, 26196, 306, 26196, 476, 1321, 267, 26764, 1321, 267, 26764, 476, 1724, 267, 3393, 280, 1724, 267, 3393, 280, 454, 4537, 1731, 541, 760, 584, 4537, 1731, 541, 760, 584, 476, 1556, 267, 279, 5780, 1556, 267, 279, 5780, 476, 866, 267, 27868, 866, 267, 27868, 454, 4537, 574, 7541, 4537, 574, 7541, 476, 278, 267, 4375, 272, 278, 267, 4375, 272, 476, 1626, 267, 4510, 274, 1626, 267, 4510, 274, 454, 306, 528, 19487, 306, 528, 19487, 476, 279, 267, 31634, 279, 267, 31634, 476, 2641, 267, 278, 2190, 2641, 267, 278, 2190, 454, 1320, 527, 337, 628, 718, 328, 1320, 527, 337, 628, 718, 328, 476, 274, 267, 276, 6434, 274, 267, 276, 6434, 476, 1724, 267, 24487, 1724, 267, 24487, 454, 13126, 2433, 5291, 2517, 4178, 11075, 574, 7541, 269, 5371, 23357, 563, 8368, 476, 280, 269, 8836, 3197, 540, 27552, 25904, 540, 623, 269, 610, 344, 345, 2801, 6394, 689, 454, 18528, 5166, 10923, 4525, 630, 307, 2728, 802, 264, 540, 1744, 574, 7541, 454, 13142, 3030, 623, 269, 610, 344, 345, 2801, 20586, 454, 307, 2728, 802, 13225, 611, 9545, 27821, 670, 657, 333, 26196, 590, 26196, 1744, 1731, 541, 760, 584, 1744, 574, 7541, 29813, 19487, 774, 9500, 718, 328, 454, 8624, 712, 540, 2051, 3415, 454, 14937, 4563, 4563, 4563, 4563, 4563, 4563, 454, 8624, 3415, 7990, 27578, 880, 3109, 27578, 880, 454, 8624, 3415, 5920, 1341, 266, 1341, 10030, 266, 1341, 10030, 266, 1341, 266, 1341, 10030, 1341, 266, 1341, 10030, 454, 29381, 19382, 543, 454, 29381, 9406, 19382, 19382, 543, 454, 13528, 566, 540, 31027, 636, 538, 454, 1492, 7936, 2282, 454, 5715, 626, 3307, 5940, 3307, 5940, 3307, 1473, 626, 3307, 5940, 3307, 5940, 3307, 5940, 3307, 454, 4537, 1901, 540, 598, 573, 807, 5136, 743, 822, 622, 623, 10455, 6134, 623, 10455, 6134, 5136, 743, 822, 622, 623, 10455, 6134, 5136, 743, 822, 622, 623, 10455, 6134, 454, 8624, 712, 540, 12733, 630, 516, 2091, 2567, 4563, 1315, 19669, 454, 8624, 3415, 7990, 281, 4563, 880, 15454, 1315, 667, 1638, 6519, 454, 8624, 3415, 5920, 281, 1341, 266, 10815, 13692, 344, 267, 1341, 10030, 5415, 13692, 344, 2073, 1341, 10030, 266, 16655, 3065, 10623, 1430, 344, 454, 289, 3757, 4221, 4806, 281, 9406, 5086, 1315, 26590, 5086, 454, 4537, 1901, 540, 598, 573, 807, 281, 5136, 743, 822, 622, 1315, 623, 10455, 6134, 454, 293, 1752, 6029, 19046, 2589, 693, 670, 657, 534, 26196, 454, 1103, 2739, 539, 19059, 16791, 539, 1352, 23411, 20070, 3293, 19059, 454, 12195, 12442, 910, 594, 454, 288, 2673, 2070, 540, 19046, 27295, 454, 2304, 23762, 2070, 540, 19046, 27295, 454, 12195, 12442, 910, 4083, 454, 31342, 9634, 570, 650, 619, 6029, 6960, 9634, 454, 9515, 987, 609, 26070, 454, 15900, 3942, 2589, 454, 3333, 12976, 6978, 16405, 5835, 454, 12195, 12442, 910, 8633, 454, 7343, 637, 528, 1756, 5250, 538, 623, 269, 610, 344, 345, 2801, 454, 23322, 2065, 598, 573, 807, 540, 623, 269, 610, 344, 345, 2801, 623, 6395, 2528, 540, 623, 269, 610, 344, 345, 2801, 454, 10468, 1188, 19046, 2433, 15776, 687, 593, 3443, 2873, 1975, 1824, 593, 7573, 26106, 802, 454, 12195, 12442, 910, 10001, 454, 305, 2464, 8085, 4811, 6730, 20591, 290, 4785, 31064, 454, 303, 23098, 630, 302, 787, 5633, 2893, 10216, 700, 4700, 568, 519, 2101, 1426, 7693, 538, 519, 1158, 454, 339, 3736, 269, 898, 568, 519, 2101, 6694, 7693, 3395, 538, 476, 1691, 269, 11025, 32763, 25614, 454, 514, 31016, 31540, 609, 606, 3977, 540, 476, 4391, 269, 4097, 2929, 19726, 543, 849, 513, 2101, 454, 1410, 1636, 20161, 30321, 513, 4914, 5385, 540, 476, 274, 267, 14690, 269, 1428, 5186, 637, 563, 21026, 4000, 568, 519, 2101, 23138, 540, 4095, 7573, 269, 3127, 16034, 2034, 454, 600, 784, 2101, 7573, 3395, 2477, 4553, 676, 3624, 630, 306, 532, 15595, 267, 476, 1220, 274, 1916, 7922, 770, 2068, 568, 3361, 676, 623, 269, 610, 344, 345, 2801, 568, 519, 1034, 16160, 454, 322, 1021, 3978, 9271, 538, 6556, 1813, 547, 3134, 344, 874, 12682, 18352, 540, 519, 2068, 723, 454, 2041, 523, 6592, 538, 1114, 4525, 269, 670, 657, 534, 26196, 267, 590, 26196, 543, 774, 9500, 1695, 718, 328, 454, 13757, 606, 4049, 11841, 269, 898, 814, 1044, 1336, 547, 1491, 513, 5230, 17167, 2676, 32523, 827, 3592, 476, 1789, 547, 476, 2004, 260, 2530, 540, 519, 7693, 269, 898, 568, 1813, 547, 1970, 454, 9519, 5210, 267, 554, 11035, 4731, 333, 611, 2916, 543, 5230, 11811, 563, 7922, 770, 1500, 922, 1764, 811, 593, 737, 9618, 604, 533, 23098, 982, 519, 986, 6798, 454, 335, 23098, 269, 634, 2530, 3361, 1813, 547, 19046, 568, 30050, 538, 986, 6798, 269, 7216, 5638, 454, 3333, 3298, 5230, 11841, 540, 19046, 538, 1744, 1731, 541, 760, 584, 543, 13225, 611, 9545, 27821, 512, 2728, 802, 563, 3086, 621, 729, 936, 547, 4731, 333, 611, 851, 540, 519, 8664, 16030, 774, 9500, 1695, 718, 328, 2676, 306, 26196, 543, 670, 657, 534, 26196, 512, 2728, 802, 269, 898, 568, 10355, 2049, 593, 3443, 2873, 4611, 538, 454, 8882, 1068, 850, 669, 3530, 344, 9274, 3056, 5230, 2530, 547, 18495, 563, 1103, 519, 1353, 1858, 267, 12136, 540, 2101, 23633, 17343, 2982, 454, 19702, 566, 538, 741, 11841, 693, 1114, 4525, 1813, 547, 1196, 7469, 545, 454, 2399, 832, 269, 5530, 1858, 568, 5258, 883, 11125, 730, 543, 4764, 10480, 454, 1718, 1431, 269, 901, 2101, 23633, 13271, 568, 811, 11342, 538, 4764, 454, 325, 539, 2175, 982, 11125, 730, 835, 269, 769, 737, 9618, 604, 267, 476, 1220, 278, 267, 519, 1353, 1858, 454, 516, 576, 1161, 606, 476, 14689, 547, 476, 14862, 274, 6515, 11811, 267, 2837, 729, 1063, 476, 1626, 454, 1729, 476, 4097, 9180, 543, 3448, 11195, 476, 8660, 547, 476, 11463, 4939, 6592, 563, 763, 5207, 5993, 11811, 6592, 538, 670, 657, 534, 26196, 4553, 676, 454, 1320, 9500, 1695, 718, 328, 543, 590, 26196, 609, 476, 5379, 278, 273, 267, 476, 23884, 276, 543, 476, 28803, 275, 6515, 6606, 563, 763, 4346, 540, 519, 1353, 1858, 568, 5631, 1759, 593, 6683, 543, 454, 5780, 269, 2767, 260, 540, 519, 5252, 762, 2244, 896, 533, 23098, 14713, 269, 634, 533, 23098, 454, 322, 738, 10474, 2348, 1079, 12405, 642, 714, 1421, 5988, 547, 2904, 630, 8999, 1067, 610, 454, 4599, 328, 264, 543, 4864, 547, 5437, 630, 1778, 344, 610, 737, 9618, 604, 1040, 634, 533, 23098, 2348, 454, 18314, 2686, 2853, 1775, 4318, 1421, 896, 11125, 730, 543, 4764, 325, 539, 2175, 563, 763, 10750, 2244, 540, 519, 1353, 1858, 630, 4537, 574, 7541, 267, 13225, 611, 9545, 27821, 543, 851, 540, 454, 1492, 1744, 1731, 541, 760, 584, 512, 2728, 330, 264, 896, 12555, 2348, 1079, 12405, 563, 1103, 4731, 333, 611, 3148, 630, 1320, 9500, 1695, 718, 328, 267, 590, 26196, 267, 29813, 629, 267, 670, 657, 534, 26196, 543, 454, 4820, 540, 519, 1744, 1731, 541, 760, 584, 512, 2728, 330, 264, 896, 4764, 325, 539, 2783, 269, 808, 344, 1054, 328, 267, 808, 11535, 454, 663, 27339, 590, 7431, 267, 1323, 330, 584, 12312, 636, 543, 12312, 24252, 19441, 616, 519, 2101, 454, 322, 738, 643, 1513, 538, 519, 1353, 1858, 269, 634, 6556, 729, 476, 273, 269, 273, 547, 476, 273, 269, 276, 19726, 829, 454, 763, 6978, 5544, 8343, 538, 2361, 1282, 519, 1353, 1974, 454, 516, 557, 1023, 519, 1646, 540, 19046, 8623, 12515, 689, 4864, 547, 5239, 454, 13195, 1034, 4049, 538, 5239, 610, 513, 3923, 1354, 7556, 269, 4595, 519, 454, 323, 1047, 848, 2141, 4782, 547, 2049, 693, 11489, 1359, 610, 10286, 4259, 5933, 454, 14310, 532, 538, 5230, 6556, 2530, 269, 476, 273, 547, 476, 279, 6978, 9634, 829, 6978, 540, 5934, 454, 272, 6515, 6592, 538, 13225, 611, 9545, 27821, 543, 5021, 476, 280, 6515, 6592, 538, 454, 295, 657, 534, 26196, 269, 634, 3328, 2450, 540, 6960, 9634, 1063, 476, 273, 547, 476, 278, 269, 276, 454, 763, 1025, 582, 614, 4255, 9584, 540, 23633, 13271, 1282, 513, 3923, 454, 29592, 16276, 4951, 922, 2404, 7103, 899, 6755, 545, 650, 1756, 454, 2254, 23628, 267, 1306, 704, 326, 22346, 562, 9528, 267, 674, 639, 10740, 1395, 559, 6134, 2801, 543, 595, 2075, 30950, 320, 454, 331, 684, 1092, 941, 4767, 563, 5475, 476, 276, 2395, 540, 29164, 593, 1025, 582, 614, 543, 23633, 12733, 454, 1993, 11248, 29971, 543, 26912, 4327, 593, 4195, 623, 6395, 2528, 267, 585, 454, 322, 8590, 4162, 269, 634, 2686, 10824, 4767, 585, 454, 322, 8590, 4162, 899, 12733, 7990, 630, 516, 2091, 1070, 12733, 454, 3712, 712, 267, 12733, 5920, 267, 4839, 4221, 4806, 267, 5250, 540, 454, 572, 696, 636, 543, 3337, 540, 598, 573, 807, 1851, 476, 1691, 25904, 689, 476, 278, 512, 2728, 802, 540, 454, 4537, 574, 7541, 8664, 543, 789, 616, 9184, 4327, 585, 741, 4763, 563, 8624, 3415, 3197, 899, 2010, 267, 1990, 29396, 267, 3337, 267, 7990, 267, 8006, 454, 663, 3819, 2597, 779, 616, 9184, 4327, 269, 7324, 476, 1691, 25904, 540, 476, 278, 512, 2728, 802, 454, 1993, 1744, 574, 7541, 8664, 543, 741, 4763, 1131, 581, 1634, 563, 763, 838, 648, 7080, 5014, 540, 6986, 2528, 568, 22280, 547, 2635, 454, 29566, 585, 2068, 2589, 7866, 623, 269, 610, 344, 345, 2801, 693, 476, 1015, 268, 275, 454, 935, 1417, 1674, 1397, 2147, 2589, 547, 6923, 30428, 454, 332, 1468, 568, 5462, 269, 4475, 267, 23633, 13271, 1332, 454, 13681, 755, 569, 593, 476, 1015, 268, 275, 5834, 838, 648, 20022, 23576, 602, 454, 303, 269, 610, 344, 345, 2801, 568, 519, 21465, 11248, 540, 519, 533, 23098, 19046, 2068, 563, 305, 823, 2504, 711, 1152, 25242, 585, 938, 4346, 267, 855, 849, 2488, 454, 25988, 3354, 547, 519, 4182, 269, 3776, 12654, 568, 4625, 8200, 593, 454, 698, 3472, 1116, 2707, 269, 19676, 568, 513, 7693, 267, 5631, 4299, 676, 9190, 267, 16507, 454, 663, 10194, 3676, 269, 1809, 519, 6708, 540, 2530, 3361, 676, 16507, 3676, 454, 732, 1164, 543, 14909, 269, 2423, 17067, 2395, 267, 19046, 15435, 729, 4049, 538, 454, 531, 2865, 4731, 333, 611, 4525, 269, 3767, 621, 568, 13671, 936, 554, 11035, 267, 1164, 11811, 2676, 21065, 573, 2175, 269, 670, 657, 534, 26196, 267, 590, 26196, 543, 774, 9500, 1695, 718, 328, 512, 2728, 802, 6592, 454, 14683, 19046, 12136, 267, 1141, 10750, 630, 2742, 573, 534, 264, 3148, 6592, 19154, 289, 454, 31742, 539, 676, 772, 323, 327, 321, 520, 3279, 2068, 693, 1164, 6708, 269, 2349, 770, 666, 581, 6417, 454, 2421, 1434, 2686, 2853, 899, 2038, 521, 12976, 547, 9101, 610, 547, 2736, 1272, 454, 12860, 540, 19046, 267, 1697, 20925, 2409, 267, 796, 11296, 14595, 14747, 454, 14116, 14993, 2249, 264, 17515, 676, 649, 5338, 267, 26947, 676, 519, 3498, 540, 454, 8364, 321, 754, 1794, 574, 543, 554, 16394, 534, 269, 1635, 1210, 11259, 8677, 267, 811, 3498, 454, 1993, 674, 312, 300, 3079, 540, 579, 16699, 267, 6079, 2126, 609, 8869, 30422, 540, 454, 303, 12065, 14137, 553, 28264, 267, 3905, 1216, 2126, 693, 476, 7918, 9180, 585, 476, 1789, 1295, 563, 5976, 476, 277, 554, 838, 648, 865, 1136, 729, 6836, 1996, 6923, 7783, 5452, 267, 676, 454, 2224, 540, 10357, 7888, 1759, 683, 655, 1759, 30422, 543, 676, 1210, 454, 656, 604, 25193, 27386, 338, 899, 966, 4532, 320, 9782, 320, 267, 700, 656, 3570, 4342, 4673, 267, 744, 322, 3065, 454, 1084, 592, 6134, 267, 3752, 534, 636, 5283, 784, 2088, 267, 10897, 611, 4275, 577, 3279, 2512, 320, 267, 12443, 953, 807, 1279, 604, 16288, 2676, 288, 1122, 548, 544, 1301, 601, 657, 543, 13096, 3120, 1558, 601, 563, 288, 3258, 19789, 267, 966, 14389, 269, 543, 808, 11065, 269, 16429, 743, 1515, 269, 476, 1960, 274, 269, 14362, 540, 23268, 11202, 1108, 267, 6032, 563, 13070, 686, 657, 267, 717, 12991, 269, 476, 1220, 276, 269, 7233, 11202, 1108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20169, 9002, 267, 2883, 18002, 543, 7125, 547, 948, 856, 1920, 610, 824, 11299, 949, 21391, 2834, 267, 11295, 7589, 538, 13508, 7886, 269, 769, 1840, 547, 3339, 1944, 14406, 7886, 950, 789, 616, 856, 540, 7218, 685, 1852, 267, 24784, 1058, 581, 6297, 711, 547, 1491, 741, 17140, 936, 14406, 7886, 856, 593, 519, 7218, 269, 7323, 539, 7886, 666, 543, 1058, 581, 9619, 609, 7218, 269, 1717, 267, 2057, 5309, 1438, 267, 1025, 5446, 12497, 3074, 269, 5502, 267, 1201, 9347, 519, 4901, 607, 606, 1620, 540, 13865, 7496, 543, 1331, 1966, 9010, 2994, 563, 288, 2102, 2886, 1058, 1020, 513, 12353, 1246, 5346, 8430, 607, 851, 540, 606, 5571, 4640, 267, 609, 24784, 543, 5234, 2818, 3743, 585, 32296, 519, 1482, 7218, 593, 513, 5781, 16516, 4493, 269, 634, 15364, 540, 7218, 7222, 609, 519, 1482, 1268, 16881, 29037, 543, 3972, 269, 594, 849, 2303, 7598, 513, 1246, 5346, 1184, 693, 519, 4098, 540, 1142, 3923, 267, 799, 568, 950, 1082, 11299, 609, 1970, 26038, 4309, 1857, 6351, 2640, 543, 949, 723, 2799, 2200, 585, 11504, 13508, 7886, 563, 11101, 267, 1246, 5346, 5773, 1058, 581, 3860, 543, 4125, 811, 982, 6049, 3346, 269, 7956, 20261, 267, 4757, 543, 1514, 2923, 1058, 581, 2808, 607, 18817, 540, 2792, 269, 9282, 891, 2409, 540, 3346, 616, 711, 2141, 9763, 607, 968, 2889, 32216, 2223, 789, 616, 1419, 811, 21412, 609, 519, 2200, 540, 1970, 13867, 11299, 269, 4208, 286, 5221, 519, 7817, 779, 6049, 949, 581, 856, 540, 3028, 269, 654, 3994, 2338, 949, 581, 593, 3758, 267, 610, 6049, 2338, 1223, 723, 4957, 269, 20429, 13875, 10833, 949, 581, 2407, 610, 711, 1305, 909, 563, 19119, 4607, 693, 519, 4098, 540, 519, 3923, 949, 849, 1860, 6049, 3028, 269, 28055, 532, 547, 3346, 11299, 609, 1970, 26038, 1282, 713, 942, 7406, 949, 2333, 519, 5506, 602, 789, 723, 3742, 6049, 3028, 269, 4746, 267, 950, 2502, 538, 1246, 5346, 5773, 693, 519, 1439, 540, 519, 3923, 267, 1257, 532, 267, 1514, 2923, 543, 4757, 949, 581, 3742, 593, 11436, 1256, 1498, 3764, 723, 1044, 25356, 563, 15563, 267, 13844, 3606, 6049, 2338, 693, 6981, 949, 4217, 538, 3646, 547, 11677, 891, 7218, 269, 15775, 6049, 2338, 593, 3758, 630, 531, 784, 609, 5305, 540, 1344, 3029, 264, 585, 7218, 685, 1920, 2818, 543, 2828, 949, 948, 596, 547, 2226, 3346, 563, 290, 1735, 1088, 532, 7218, 991, 547, 1745, 789, 616, 30364, 676, 10283, 538, 2533, 269, 901, 568, 741, 24539, 585, 11173, 269, 21835, 832, 1058, 581, 26256, 714, 656, 602, 15314, 666, 581, 1312, 15889, 543, 30608, 269, 769, 513, 1353, 594, 5342, 267, 1970, 13867, 11299, 11855, 1570, 6351, 267, 1514, 1489, 267, 2069, 270, 32474, 543, 14774, 1134, 5630, 607, 2640, 540, 519, 2533, 789, 4607, 693, 513, 2199, 8116, 269, 7698, 6351, 729, 519, 1152, 4324, 11855, 602, 729, 15889, 563, 303, 847, 1182, 991, 547, 1265, 606, 3617, 3666, 540, 15889, 543, 30608, 15314, 585, 891, 7218, 269, 3194, 9727, 602, 1570, 15314, 4805, 798, 711, 11677, 7218, 607, 3927, 607, 8391, 1312, 15889, 543, 30608, 15314, 269, 1849, 1801, 991, 547, 1745, 602, 519, 1982, 568, 4543, 873, 538, 513, 6209, 1259, 610, 789, 616, 12691, 547, 3136, 11504, 269, 6333, 1018, 15314, 707, 7218, 723, 585, 11173, 547, 3343, 707, 2533, 563, 2690, 1970, 13867, 11299, 267, 1312, 30608, 543, 15889, 15314, 616, 16122, 269, 9717, 741, 3908, 1569, 547, 2200, 267, 1570, 6351, 666, 948, 547, 13468, 24675, 30309, 1813, 547, 3668, 540, 3854, 269, 7698, 6351, 666, 1491, 1082, 3029, 267, 1519, 2168, 5370, 630, 10520, 1636, 566, 642, 537, 7129, 267, 1453, 779, 7802, 267, 1426, 264, 543, 4296, 547, 2200, 971, 607, 3277, 23552, 547, 1426, 8492, 610, 13500, 609, 23510, 10253, 269, 1306, 24784, 267, 649, 6923, 4043, 547, 1445, 593, 30608, 15314, 971, 607, 1582, 12635, 267, 1489, 267, 28400, 25531, 543, 2123, 2208, 269, 9453, 2243, 267, 1346, 15314, 11677, 741, 1871, 609, 713, 2551, 269, 1717, 267, 519, 2956, 540, 15889, 15314, 1058, 711, 581, 2258, 730, 585, 1970, 13867, 11299, 563, 290, 1735, 1088, 832, 991, 547, 581, 3222, 602, 15314, 1058, 2253, 609, 519, 1101, 8400, 269, 8899, 13867, 11299, 723, 3908, 2200, 269, 1403, 789, 616, 7836, 942, 543, 2724, 11504, 13508, 267, 789, 991, 547, 28231, 2640, 689, 519, 4098, 563, 1432, 568, 707, 13622, 585, 7218, 286, 4208, 1058, 789, 2097, 1394, 286, 1403, 938, 13508, 2533, 616, 711, 4143, 267, 1287, 789, 786, 711, 2132, 269, 1284, 991, 547, 1118, 519, 1034, 540, 1142, 8400, 267, 1519, 519, 6981, 8400, 267, 547, 6542, 547, 891, 2021, 875, 13508, 666, 5963, 4324, 873, 563, 19119, 267, 4220, 543, 6788, 454, 1103, 1840, 267, 24784, 1058, 581, 17265, 2640, 267, 4220, 543, 6788, 609, 7218, 538, 8400, 835, 269, 21835, 832, 2356, 1445, 593, 519, 1761, 2640, 547, 7218, 267, 1247, 2258, 908, 610, 24937, 519, 4220, 269, 1849, 1801, 616, 2907, 6236, 519, 2009, 4220, 267, 2705, 267, 865, 24784, 1058, 16436, 891, 7391, 543, 948, 8956, 7218, 685, 4145, 269, 7324, 519, 4220, 7218, 949, 581, 7255, 827, 616, 513, 1761, 3668, 540, 3356, 267, 3478, 630, 528, 4743, 264, 8338, 1354, 7680, 8323, 267, 513, 2009, 21556, 540, 22637, 676, 519, 24468, 610, 711, 8220, 609, 519, 24468, 563, 290, 1735, 1088, 832, 1058, 849, 5693, 24808, 741, 6788, 540, 7218, 543, 1450, 7218, 547, 5639, 741, 6788, 540, 873, 269, 667, 5519, 560, 4328, 519, 1184, 540, 13508, 543, 1818, 2312, 1018, 7218, 666, 2503, 568, 16122, 269, 901, 568, 16779, 585, 1970, 13867, 11299, 2443, 2043, 945, 616, 711, 1419, 23518, 676, 938, 2486, 269, 769, 1840, 267, 713, 4316, 2636, 24784, 547, 1628, 29037, 543, 3972, 676, 1373, 1930, 543, 9237, 689, 519, 4098, 563, 7661, 267, 24784, 1058, 29360, 513, 7029, 689, 519, 7817, 269, 3733, 1382, 2982, 602, 1970, 13867, 11299, 1419, 7390, 835, 13508, 8400, 543, 1287, 798, 711, 2132, 269, 1684, 711, 8263, 596, 616, 16798, 513, 2034, 8400, 269, 2991, 30431, 908, 1761, 2640, 543, 13994, 6819, 4220, 267, 1865, 707, 7817, 779, 7029, 547, 13508, 269, 6496, 1352, 1616, 547, 3136, 13508, 286, 1403, 711, 267, 1018, 568, 5329, 1200, 689, 22867, 286, 1548, 666, 596, 798, 547, 948, 1200, 6330, 713, 3375, 1448, 888, 5194, 7156, 782, 3292, 991, 547, 31739, 568, 875, 1454, 741, 1982, 3790, 7218, 269, 15332, 1022, 9276, 2404, 609, 519, 13508, 7886, 2933, 267, 875, 1454, 1281, 6283, 1942, 286, 3657, 11299, 2838, 547, 2628, 585, 1126, 1416, 547, 7390, 13508, 286, 1403, 865, 267, 891, 616, 3790, 2404, 609, 13508, 267, 543, 1970, 13867, 11299, 3815, 873, 538, 950, 6236, 2436, 547, 7390, 20499, 269, 589, 2102, 2886, 1058, 581, 13533, 540, 875, 789, 1522, 11574, 14222, 9276, 547, 1832, 13508, 607, 10097, 607, 2009, 585, 891, 7218, 563, 293, 659, 22626, 29037, 543, 5698, 568, 1898, 547, 20808, 1970, 13867, 11299, 538, 13508, 2533, 269, 1403, 789, 798, 711, 1745, 4448, 267, 1287, 789, 786, 711, 2132, 269, 2353, 13508, 568, 16135, 538, 519, 5748, 540, 513, 9354, 2078, 267, 855, 24784, 1058, 2611, 2523, 13533, 540, 519, 1585, 18371, 9163, 540, 891, 2021, 269, 12968, 1681, 543, 9301, 741, 22464, 786, 948, 547, 1628, 519, 2078, 563, 12234, 267, 519, 4656, 540, 824, 9163, 602, 4122, 12969, 609, 1970, 13867, 3993, 3125, 267, 971, 607, 1373, 3979, 1977, 610, 513, 2582, 3993, 267, 585, 3236, 267, 1058, 581, 6444, 269, 769, 938, 2486, 267, 875, 1281, 519, 1995, 540, 513, 1970, 13867, 3993, 945, 568, 3043, 8428, 689, 513, 1970, 13867, 3993, 540, 2681, 286, 1548, 3604, 8451, 1063, 2582, 267, 1071, 4725, 1746, 543, 9310, 1970, 13867, 11299, 286, 1452, 16082, 616, 1271, 547, 2232, 538, 13508, 269, 2859, 1271, 267, 24784, 1058, 581, 3222, 540, 875, 789, 13948, 2070, 543, 2746, 547, 891, 1585, 9163, 543, 875, 741, 2833, 8428, 689, 1346, 540, 1970, 13867, 11299, 563, 8139, 891, 11299, 1369, 741, 8658, 1797, 17028, 4506, 741, 12969, 532, 9163, 269, 8490, 8076, 3347, 568, 6382, 4652, 29342, 1043, 269, 634, 593, 639, 540, 5539, 547, 2232, 891, 3604, 1063, 519, 24468, 543, 7817, 568, 593, 519, 24468, 269, 1284, 3180, 519, 17185, 540, 27510, 519, 6643, 563, 2026, 24784, 267, 649, 1590, 3136, 547, 6218, 6000, 543, 938, 8041, 547, 3313, 875, 21412, 649, 616, 1373, 609, 3246, 2500, 2533, 547, 1970, 13867, 11299, 269, 634, 5539, 949, 3006, 581, 1526, 29471, 607, 513, 11411, 267, 855, 11504, 547, 519, 13865, 7496, 540, 938, 7218, 568, 24903, 513, 13766, 563, 290, 1735, 1088, 832, 543, 7218, 798, 711, 2661, 538, 10600, 9678, 689, 824, 1004, 543, 2486, 269, 13298, 267, 649, 616, 7184, 679, 6996, 1117, 269, 3807, 607, 649, 798, 711, 6999, 547, 581, 970, 1905, 565, 730, 689, 938, 2796, 547, 581, 6956, 267, 938, 7218, 17330, 938, 27811, 8942, 693, 26762, 741, 2833, 543, 2729, 269, 8307, 609, 13533, 3007, 547, 513, 13865, 7406, 666, 649, 6461, 1227, 543, 29050, 8480, 7925, 5095, 563, 15447, 1578, 9523, 4930, 616, 9862, 689, 7886, 4843, 693, 1977, 29960, 5948, 19014, 563, 298, 987, 787, 333, 15917, 5886, 32139, 568, 513, 25719, 2875, 538, 519, 4972, 540, 12409, 267, 3427, 543, 29960, 10017, 693, 519, 2160, 540, 17996, 269, 13555, 1200, 693, 4757, 11333, 2593, 563, 4131, 1562, 547, 519, 9375, 281, 18078, 17106, 11333, 3820, 0, 1432, 1281, 2983, 626, 1611, 888, 1432, 1281, 2983, 626, 1611, 888, 10481, 626, 630, 23389, 12332, 281, 1496, 16659, 389, 350, 320, 22688, 560, 8079, 568, 513, 4436, 10902, 609, 513, 4110, 540, 2956, 538, 4436, 6138, 269, 4706, 23066, 2361, 14687, 547, 2296, 15293, 267, 6891, 267, 2247, 267, 6457, 269, 2368, 2296, 6037, 2209, 18992, 547, 1210, 968, 338, 2869, 527, 8276, 785, 892, 610, 968, 338, 2869, 527, 630, 332, 785, 264, 892, 547, 948, 6655, 519, 2495, 540, 519, 2165, 563, 1692, 798, 596, 2161, 15293, 538, 9721, 888, 2108, 724, 739, 892, 538, 9721, 454, 268, 23866, 269, 28580, 756, 327, 572, 512, 633, 1606, 515, 327, 15293, 563, 268, 25460, 10586, 269, 901, 568, 606, 16977, 12332, 540, 519, 8360, 912, 268, 22564, 538, 9721, 5678, 269, 15293, 815, 28580, 756, 327, 572, 563, 268, 1548, 568, 634, 9721, 5678, 888, 268, 4208, 1411, 9701, 6258, 547, 28423, 2368, 9721, 563, 268, 1215, 2052, 594, 6258, 9721, 888, 268, 6875, 3776, 17676, 968, 296, 16194, 585, 30488, 892, 19478, 6092, 563, 1432, 568, 1776, 2262, 585, 15293, 888, 306, 312, 301, 2177, 312, 5960, 11123, 15293, 476, 272, 15457, 819, 267, 943, 656, 558, 267, 943, 656, 11047, 267, 12109, 603, 267, 6774, 656, 282, 12094, 267, 838, 809, 563, 1432, 568, 519, 2495, 540, 15293, 6891, 888, 1103, 18691, 267, 513, 15293, 568, 519, 9997, 610, 6891, 540, 513, 4666, 1268, 610, 3662, 602, 666, 2408, 547, 519, 2713, 269, 769, 15293, 331, 648, 267, 11673, 540, 15293, 338, 4268, 4922, 689, 606, 15865, 4527, 547, 6037, 1075, 550, 610, 18923, 7298, 5923, 6853, 5546, 267, 547, 10853, 267, 3076, 601, 833, 3029, 563, 1432, 568, 519, 1884, 7716, 540, 15293, 888, 1432, 568, 519, 6587, 540, 15293, 888, 1432, 568, 513, 554, 5593, 15293, 888, 763, 2262, 554, 5593, 568, 606, 4244, 10259, 540, 20807, 267, 799, 729, 13840, 1031, 538, 3979, 12677, 31546, 15066, 547, 3277, 547, 513, 15293, 610, 267, 538, 519, 32431, 5622, 3661, 267, 513, 18338, 6438, 13442, 5275, 547, 29677, 9601, 547, 741, 2669, 676, 25874, 563, 3674, 654, 697, 513, 2262, 888, 288, 530, 697, 630, 24874, 2296, 281, 530, 328, 6255, 264, 568, 513, 26704, 2366, 1304, 1373, 267, 1419, 3768, 1737, 269, 769, 922, 3312, 6165, 267, 519, 2262, 530, 697, 4330, 513, 2713, 1480, 1373, 267, 855, 814, 2097, 547, 581, 1031, 1369, 14810, 547, 4766, 1978, 32161, 7919, 563, 1432, 1234, 1597, 656, 1797, 888, 23562, 12351, 11416, 16737, 6836, 547, 948, 538, 835, 540, 922, 30572, 2592, 676, 7713, 602, 519, 2262, 968, 516, 1597, 656, 2223, 607, 538, 968, 763, 1234, 1597, 656, 892, 588, 18732, 28167, 4144, 22479, 26369, 267, 568, 513, 10902, 267, 2495, 267, 968, 821, 945, 814, 8120, 267, 607, 952, 689, 519, 4666, 1848, 898, 779, 689, 519, 3943, 267, 6774, 597, 267, 547, 2132, 563, 3674 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10666, 519, 9210, 4593, 29914, 5783, 454, 5978, 3465, 4575, 21674, 267, 7812, 4354, 787, 267, 19038, 569, 4016, 547, 519, 9210, 4593, 29914, 5783, 607, 519, 9210, 4593, 29914, 7936, 540, 519, 4906, 11873, 269, 25214, 267, 519, 9210, 4593, 29914, 5783, 568, 519, 1977, 7936, 540, 519, 29842, 534, 4004, 542, 267, 519, 5001, 1560, 540, 13039, 4171, 8129, 941, 1369, 519, 5783, 540, 4789, 269, 634, 9210, 4593, 29914, 5783, 729, 3964, 538, 519, 2136, 2276, 538, 476, 6245, 272, 267, 16172, 1310, 519, 12316, 2112, 563, 763, 9210, 4593, 29914, 5783, 568, 1634, 585, 922, 3638, 2245, 540, 10847, 1336, 538, 519, 3883, 540, 5871, 27302, 269, 634, 6561, 540, 519, 3883, 540, 5871, 27302, 666, 581, 14360, 547, 922, 1101, 4528, 538, 476, 1626, 628, 2540, 4789, 543, 538, 519, 19001, 540, 519, 4168, 5132, 15198, 1394, 5553, 1354, 563, 6097, 547, 519, 3896, 585, 519, 9210, 4593, 29914, 5783, 912, 2171, 9210, 4593, 29914, 2103, 3494, 538, 513, 15962, 267, 5391, 518, 908, 267, 543, 1272, 3766, 1516, 2696, 281, 12429, 267, 12312, 267, 543, 10513, 13336, 269, 1306, 25499, 2818, 540, 519, 29842, 534, 4004, 542, 538, 519, 2136, 2276, 267, 649, 616, 18939, 540, 543, 4891, 609, 519, 5783, 540, 4789, 543, 519, 13677, 9210, 4593, 29914, 5783, 267, 543, 616, 851, 540, 519, 3791, 4102, 1895, 540, 10271, 538, 519, 1158, 563, 2171, 3494, 538, 1739, 519, 10752, 540, 4906, 2441, 267, 4171, 1272, 267, 2669, 267, 543, 24446, 10710, 519, 1158, 563, 2171, 723, 513, 9371, 540, 10014, 267, 14971, 547, 2995, 543, 12013, 1518, 2696, 779, 2648, 585, 1169, 1480, 1373, 282, 2021, 543, 2367, 4196, 607, 31967, 267, 20577, 267, 543, 632, 659, 976, 538, 938, 5939, 269, 20233, 15161, 543, 23464, 28111, 607, 3401, 693, 782, 2157, 540, 938, 5939, 269, 15557, 568, 513, 10516, 689, 2696, 267, 543, 666, 581, 6829, 676, 782, 1004, 538, 938, 5939, 267, 7488, 540, 4638, 3961, 610, 10066, 563, 2171, 3494, 602, 2696, 14560, 596, 1107, 1100, 17756, 269, 0, 299, 5495, 3041, 309, 6579, 4041, 267, 19109, 269, 2443, 1284, 616, 1100, 21046, 547, 7231, 609, 513, 3099, 540, 23480, 1934, 538, 519, 11882, 9503, 563, 2026, 649, 1935, 1018, 568, 1419, 519, 8445, 540, 986, 326, 15634, 4005, 630, 13232, 4149, 324, 4697, 1070, 1577, 779, 2263, 1946, 621, 4991, 865, 3983, 538, 8402, 6807, 543, 875, 649, 666, 8897, 713, 14711, 4005, 781, 530, 3996, 563, 7804, 269, 715, 7614, 773, 16019, 267, 606, 6784, 626, 693, 7731, 30665, 1299, 8330, 8676, 267, 6045, 972, 616, 1896, 7700, 2188, 585, 1946, 6784, 523, 12523, 616, 3226, 1164, 538, 4872, 899, 8402, 6807, 609, 606, 4683, 3002, 6532, 563, 2690, 835, 281, 16019, 1767, 986, 326, 15634, 15055, 547, 581, 538, 3677, 4872, 1317, 972, 568, 811, 5533, 972, 269, 8693, 1689, 1223, 581, 513, 23784, 607, 1134, 563, 257, 303, 3326, 1081, 267, 543, 1256, 2916, 1689, 267, 723, 2799, 519, 4890, 1496, 324, 977, 338, 316, 540, 986, 326, 15634, 14947, 2437, 1352, 1767, 563, 4407, 5230, 4764, 666, 3142, 10151, 1365, 924, 689, 14947, 267, 621, 666, 723, 8801, 2360, 269, 16019, 1767, 950, 972, 568, 513, 2603, 540, 7509, 538, 519, 2011, 267, 621, 666, 2965, 2333, 9044, 12523, 563, 3383, 267, 4764, 666, 6157, 948, 547, 11547, 1524, 14947, 267, 855, 3006, 952, 922, 1175, 513, 1769, 4764, 267, 1346, 986, 785, 28979, 666, 5734, 519, 8768, 24968, 267, 4929, 873, 547, 5305, 1256, 811, 14947, 982, 1354, 563, 300, 14525, 781, 1655, 5796, 568, 547, 1832, 519, 14711, 4915, 13561, 543, 3914, 856, 547, 707, 2199, 3119, 1416, 8502, 585, 1022, 811, 948, 563, 9827, 581, 3222, 540, 1022, 2371, 602, 596, 3142, 16280, 713, 14232, 2887, 4005, 602, 1223, 1118, 707, 11959, 8338, 563, 17606, 779, 21453, 547, 1869, 723, 707, 4190, 2887, 5810, 543, 707, 544, 4548, 267, 855, 596, 1616, 547, 581, 6297, 827, 1022, 11255, 2371, 602, 596, 3142, 538, 2437, 1352, 1767, 269, 834, 5445, 1223, 723, 9044, 543, 602, 666, 2731, 27506, 909, 707, 11959, 607, 1134, 1848, 0, 275, 18467, 547, 6657, 519, 476, 276, 19999, 520, 4577, 22553, 19878, 476, 2641, 267, 476, 1708, 274, 454, 2691, 621, 2501, 547, 4730, 4224, 2575, 267, 21462, 267, 15690, 267, 610, 1022, 824, 9135, 267, 519, 20008, 520, 4577, 4336, 568, 519, 979, 3562, 1907, 585, 12372, 269, 898, 568, 519, 17200, 538, 938, 1907, 7901, 610, 519, 6366, 3650, 17684, 323, 18182, 602, 649, 946, 519, 1034, 269, 901, 4336, 5713, 607, 519, 5748, 585, 1082, 7574, 6163, 267, 543, 1620, 922, 1585, 3029, 568, 2629, 585, 1169, 14971, 13176, 626, 269, 769, 713, 3381, 267, 649, 786, 2263, 519, 2947, 3029, 540, 519, 20008, 520, 4577, 4336, 543, 1865, 2500, 2259, 2409, 547, 948, 596, 4487, 713, 1898, 7574, 1907, 563, 763, 12866, 22553, 540, 519, 19999, 520, 4577, 17361, 912, 6524, 18167, 883, 519, 2259, 2553, 267, 1577, 781, 1491, 513, 2656, 1413, 693, 519, 2947, 3029, 540, 519, 20008, 520, 4577, 4336, 269, 4014, 649, 666, 3277, 547, 873, 538, 2901, 589, 5634, 610, 595, 2101, 267, 789, 9247, 2671, 519, 1482, 4967, 269, 1280, 519, 19160, 540, 13418, 267, 649, 786, 2015, 621, 607, 589, 5634, 538, 713, 4901, 269, 634, 2947, 3029, 616, 10562, 267, 3850, 15774, 13289, 1063, 873, 563, 13528, 835, 568, 519, 1034, 1031, 1106, 269, 898, 568, 1271, 547, 24559, 3054, 609, 519, 6516, 3177, 538, 519, 18913, 7300, 585, 513, 2143, 1620, 540, 891, 3029, 269, 25021, 593, 267, 1106, 1079, 13462, 547, 1106, 835, 267, 4553, 676, 1106, 1614, 269, 4813, 2185, 12217, 11696, 28917, 547, 1106, 835, 267, 543, 6368, 267, 1106, 2947, 6402, 1394, 547, 1106, 835, 267, 11264, 519, 4783, 563, 21010, 532, 519, 22553, 912, 300, 699, 569, 8357, 1944, 519, 1367, 3029, 568, 711, 2614, 269, 1677, 3914, 519, 1985, 1377, 540, 15334, 267, 621, 568, 2629, 547, 1921, 891, 3029, 16900, 269, 10439, 1944, 519, 30528, 3029, 538, 707, 2247, 781, 3750, 1247, 21088, 532, 568, 513, 5578, 602, 10953, 936, 942, 269, 898, 3340, 2259, 267, 9639, 267, 543, 18094, 269, 5457, 267, 17117, 3217, 942, 267, 2147, 547, 16565, 21711, 538, 513, 1893, 269, 667, 539, 6510, 3054, 547, 5812, 2259, 267, 543, 596, 786, 5555, 3035, 519, 5551, 1377, 540, 5610, 563, 19177, 6657, 9828, 912, 3086, 602, 596, 723, 5432, 1242, 3054, 609, 519, 2596, 3029, 543, 6956, 741, 10562, 2470, 267, 1577, 781, 2263, 2185, 2500, 2259, 2553, 547, 2417, 3986, 707, 17117, 540, 519, 20008, 520, 4577, 4336, 563, 8450, 29601, 585, 4890, 5751, 269, 594, 723, 3769, 1079, 13755, 4926, 585, 596, 607, 1134, 563, 21803, 4787, 6235, 12844, 639, 20113, 912, 2690, 513, 22429, 4161, 267, 6451, 5569, 1236, 6235, 883, 707, 2259, 6296, 269, 590, 959, 532, 1236, 6235, 5751, 666, 7494, 3986, 707, 2930, 2702, 269, 2290, 1383, 568, 547, 1404, 519, 4336, 4806, 1236, 6235, 12673, 269, 3399, 593, 519, 15795, 5569, 267, 1287, 7914, 547, 519, 8772, 5569, 267, 4553, 676, 519, 11359, 267, 3791, 267, 543, 865, 593, 269, 6657, 713, 3635, 538, 9258, 607, 1134, 269, 21642, 1236, 6235, 5751, 1039, 513, 2189, 8137, 547, 707, 4730, 543, 4228, 707, 3860, 7399, 563, 3528, 9846, 8026, 519, 2947, 3029, 540, 519, 20008, 520, 4577, 4336, 543, 7598, 519, 6700, 2553, 267, 596, 786, 7930, 11753, 713, 1898, 7574, 1907, 883, 707, 4730, 2511, 269, 3807, 899, 12021, 13176, 1235, 971, 607, 21862, 773, 14105, 966, 2795, 534, 267, 945, 11368, 891, 10253, 883, 741, 4730, 267, 596, 1932, 666, 1020, 513, 2067, 21711, 269, 5457, 267, 17117, 2501, 609, 942, 267, 11428, 267, 543, 2259, 269, 22737, 519, 1184, 267, 2972, 519, 3460, 267, 543, 4166, 519, 20008, 520, 4577, 4336, 786, 1831, 606, 7533, 851, 540, 707, 7574, 3961, 563, 2252, 596, 899, 713, 267, 596, 786, 2648, 1250, 476, 18458, 2871, 10560, 4643, 269, 0, 7312, 2960, 568, 707, 1560, 781, 1101, 1899, 540, 8878, 269, 1656, 2016, 3388, 602, 621, 679, 706, 637, 1554, 3562, 6377, 630, 5228, 519, 11508, 540, 707, 7802, 547, 6727, 2837, 2242, 543, 519, 17573, 2759, 610, 20015, 1047, 1070, 621, 568, 1100, 4898, 602, 1034, 1004, 1995, 6213, 2960, 693, 930, 1448, 2429, 741, 10715, 563, 16352, 1767, 713, 267, 972, 568, 513, 5386, 1899, 1063, 513, 6093, 536, 719, 540, 3819, 2960, 543, 513, 16609, 2960, 3968, 610, 16420, 563, 6097, 547, 519, 2817, 8278, 22915, 5948, 267, 27150, 568, 606, 22597, 2165, 602, 6257, 513, 2039, 540, 28349, 2960, 3676, 602, 1860, 936, 476, 1015, 260, 540, 782, 4892, 563, 9961, 713, 2022, 267, 649, 3513, 2736, 1524, 3388, 596, 991, 547, 917, 827, 912, 763, 1455, 2589, 540, 27150, 454, 763, 1455, 3123, 540, 27150, 454, 763, 1655, 2067, 2126, 2409, 585, 27150, 454, 16605, 2542, 547, 1451, 811, 827, 875, 547, 865, 6139, 543, 6923, 2061, 28349, 2960, 5563, 2221, 563, 1432, 568, 32536, 4345, 888, 291, 12938, 4345, 568, 513, 1455, 2960, 2783, 3361, 676, 4719, 543, 2825, 2188, 563, 763, 1614, 1034, 1455, 3029, 540, 27150, 616, 693, 8084, 27150, 630, 1815, 22915, 1070, 13027, 3346, 27150, 267, 543, 694, 4011, 337, 515, 545, 27150, 630, 323, 663, 745, 742, 1916, 21618, 540, 32536, 4345, 454, 4407, 1142, 3099, 540, 27150, 786, 1459, 538, 1114, 2081, 267, 930, 1883, 2589, 2066, 519, 4604, 1331, 912, 291, 787, 267, 28332, 2960, 5526, 2699, 593, 14402, 268, 2023, 539, 2960, 543, 6960, 610, 15454, 593, 18632, 268, 2023, 539, 2960, 563, 9928, 3315, 2960, 15649, 602, 949, 1166, 820, 267, 1025, 3563, 267, 11523, 267, 610, 522, 334, 2763, 563, 1103, 4049, 2665, 267, 513, 27150, 16420, 5526, 22224, 563, 4407, 27150, 568, 28349, 543, 13943, 267, 621, 568, 711, 21380, 563, 268, 8278, 22915, 26711, 454, 27246, 540, 32536, 4345, 454, 763, 2014, 540, 1142, 1268, 781, 27150, 786, 23223, 2406, 8428, 4470, 593, 519, 1826, 540, 27150, 789, 2811, 7680, 267, 741, 2189, 4719, 17539, 267, 519, 4761, 1062, 267, 543, 1920, 1686, 563, 2690, 1004, 609, 693, 8084, 27150, 26253, 267, 606, 28349, 16420, 949, 581, 3361, 676, 606, 936, 5562, 4761, 1062, 799, 11479, 519, 1560, 547, 4323, 922, 2635, 2281, 693, 519, 2960, 11064, 269, 15043, 693, 8084, 27150, 1419, 11710, 689, 1312, 4719, 543, 2825, 3334, 563, 4263, 8084, 27150, 568, 1419, 513, 1272, 17489, 5312, 2960, 2783, 6353, 676, 16625, 1166, 4100, 543, 1121, 3827, 269, 4107, 3335, 267, 693, 8084, 27150, 786, 1020, 607, 513, 1106, 540, 10867, 850, 26253, 282, 2705, 267, 713, 2960, 4524, 949, 849, 1397, 2663, 607, 2937, 26253, 563, 10303, 693, 8084, 27150, 26253, 568, 851, 540, 519, 693, 8084, 2468, 611, 267, 2550, 609, 713, 2960, 2068, 616, 811, 2693, 547, 1020, 10447, 543, 824, 11959, 267, 971, 607, 18720, 8611, 563, 8448, 2010, 540, 26253, 1331, 7988, 327, 573, 549, 6776, 26253, 267, 799, 3123, 8781, 543, 28349, 2960, 593, 519, 1151, 525, 540, 707, 3952, 543, 519, 27374, 540, 707, 3946, 267, 543, 1167, 1355, 26253, 267, 799, 28107, 607, 513, 1279, 3856, 2960, 2783, 602, 3123, 519, 2960, 547, 1831, 28349, 267, 23551, 2989, 267, 22224, 543, 29618, 538, 9764, 15649, 563, 1103, 519, 2013, 540, 3346, 27150, 267, 2589, 786, 27506, 607, 851, 540, 606, 13027, 5114, 547, 1808, 2825, 12153, 693, 519, 2960, 781, 11064, 563, 2690, 1383, 267, 13027, 3346, 27150, 1223, 581, 17275, 676, 3346, 609, 1978, 2371, 899, 8914, 17488, 344, 267, 14947, 267, 10860, 267, 7452, 21746, 267, 1808, 2960, 2472, 267, 6464, 1369, 707, 27445, 28052, 550, 267, 610, 1256, 1978, 8407, 543, 1426, 11959, 971, 607, 10683, 563, 4407, 519, 3169, 2014, 568, 7164, 267, 694, 4011, 337, 515, 545, 27150, 568, 811, 2693, 547, 2049, 538, 9038, 563, 13349, 12153, 1331, 4576, 267, 2566, 267, 10792, 6464, 267, 9449, 2242, 267, 543, 4365, 10593, 563, 1607, 27150, 10953, 538, 1004, 609, 4057, 1973, 10009, 267, 4611, 538, 606, 28349, 16420, 2066, 519, 2539, 7953, 543, 17094, 956, 269, 898, 568, 3361, 676, 513, 1966, 609, 707, 15532, 267, 4929, 5714, 543, 2604, 547, 1628, 563, 1692, 1677, 6164, 32536, 4345, 28900, 888, 2252, 596, 610, 513, 6068, 835, 798, 1020, 27150, 267, 1810, 1405, 31361, 269, 30586, 267, 972, 616, 1082, 2500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 30458, 273, 815, 5299, 6983, 4878, 17338, 320, 3418, 825, 30458, 273, 815, 1592, 263, 3553, 17338, 320, 273, 17903, 825, 30458, 273, 31699, 263, 516, 2091, 18989, 3418, 825, 18559, 815, 1496, 15947, 825, 585, 1003, 3266, 538, 30458, 273, 281, 825, 1477, 1038, 952, 16325, 3266, 260, 273, 2652, 476, 271, 8029, 2018, 18559, 6910, 16325, 3266, 3418, 825, 30458, 273, 815, 18559, 1477, 825, 1820, 2891, 306, 6373, 632, 17485, 3693, 657, 1964, 656, 525, 281, 14307, 2040, 17338, 320, 273, 11468, 8079, 3418, 825, 30458, 273, 27044, 263, 271, 267, 8999, 17338, 320, 273, 11468, 8079, 3418, 825, 2132, 30458, 273, 5897, 2745, 17338, 320, 3418, 333, 826, 9366, 8217, 320, 815, 1110, 881, 541, 8217, 320, 17338, 320, 3418, 2745, 3799, 826, 9366, 8217, 320, 3418, 2745, 3799, 826, 9366, 8217, 320, 314, 271, 316, 2652, 2040, 3799, 826, 9366, 8217, 320, 314, 272, 281, 8079, 10142, 0, 258, 476, 272, 264, 4813, 622, 541, 17485, 521, 580, 340, 1304, 525, 1130, 2803, 16948, 1034, 32057, 1714, 1267, 5964, 2512, 5964, 454, 1948, 834, 295, 7637, 24634, 334, 257, 620, 710, 5964, 513, 3288, 632, 516, 15939, 679, 476, 736, 1286, 716, 31013, 454, 2745, 2891, 346, 281, 285, 736, 348, 2668, 8971, 2891, 295, 7637, 24634, 334, 8442, 2020, 1948, 834, 295, 7637, 24634, 334, 257, 959, 15635, 600, 1304, 334, 679, 1714, 524, 22115, 334, 1286, 1461, 967, 823, 476, 274, 454, 2745, 2891, 346, 15545, 274, 348, 2668, 8971, 2891, 295, 7637, 24634, 334, 8442, 2020, 1948, 834, 295, 7637, 24634, 334, 257, 620, 710, 5964, 620, 1298, 549, 679, 476, 736, 1286, 716, 31013, 598, 959, 15635, 600, 1304, 334, 679, 1714, 5302, 1495, 334, 1286, 1461, 967, 823, 476, 272, 454, 2745, 2891, 346, 281, 317, 736, 269, 272, 348, 2668, 8971, 2891, 295, 7637, 24634, 334, 8442, 2020, 1948, 476, 5611, 9847, 1106, 622, 334, 513, 14557, 1723, 6746, 657, 4283, 657, 882, 6352, 15606, 598, 524, 14058, 454, 2745, 2891, 346, 281, 4962, 323, 348, 2668, 8971, 263, 5611, 11723, 1948, 476, 4281, 279, 278, 9847, 1106, 622, 334, 513, 476, 278, 6746, 657, 4283, 657, 882, 6352, 15606, 598, 17611, 659, 1470, 454, 2745, 2891, 346, 281, 278, 323, 348, 2668, 8971, 263, 4281, 279, 278, 11723, 1948, 476, 4281, 279, 278, 9847, 1106, 622, 334, 513, 476, 278, 6746, 657, 4283, 657, 882, 6352, 15606, 598, 524, 3266, 454, 2745, 2891, 346, 281, 5881, 323, 348, 2668, 8971, 263, 4281, 279, 278, 11723, 258, 476, 736, 269, 6349, 9847, 1106, 622, 334, 513, 476, 274, 6746, 657, 4283, 657, 586, 476, 274, 1232, 574, 2297, 882, 6352, 5964, 598, 524, 3266, 454, 2745, 2891, 346, 281, 5881, 269, 274, 325, 348, 2668, 8971, 263, 736, 269, 6349, 4917, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 19523, 454, 5814, 4351, 692, 31467, 318, 19702, 762, 18989, 692, 6112, 8520, 318, 19702, 762, 912, 453, 13196, 815, 6151, 17750, 2891, 16485, 519, 9059, 476, 279, 3440, 513, 2243, 281, 19515, 453, 753, 284, 12690, 27110, 263, 272, 267, 279, 11850, 14851, 844, 525, 2652, 3269, 912, 453, 453, 338, 903, 20216, 527, 4590, 453, 19197, 20735, 2652, 476, 272, 912, 453, 13537, 834, 16908, 568, 5899, 1052, 3006, 4840, 453, 19197, 20735, 2652, 476, 273, 912, 453, 13537, 834, 31819, 568, 711, 607, 621, 4667, 4840, 453, 19197, 20735, 2652, 476, 274, 912, 453, 13537, 834, 2710, 711, 635, 12393, 1919, 538, 1272, 4840, 453, 19197, 20735, 2652, 476, 275, 912, 453, 13537, 834, 5278, 2053, 1919, 616, 4010, 607, 621, 568, 543, 602, 338, 21453, 4840, 453, 19197, 20735, 2652, 476, 276, 912, 453, 13537, 834, 1432, 596, 616, 10478, 585, 568, 596, 4840, 453, 19197, 20735, 2652, 476, 277, 912, 453, 13537, 834, 2252, 594, 1223, 2626, 602, 594, 1131, 660, 581, 6158, 547, 596, 593, 513, 1395, 339, 1640, 4840, 453, 19197, 20735, 2652, 476, 278, 912, 453, 13537, 834, 14188, 596, 585, 602, 2243, 267, 855, 922, 2626, 568, 3564, 1250, 18803, 7207, 4840, 453, 19197, 20735, 2652, 476, 279, 912, 453, 13537, 834, 6546, 338, 621, 8627, 594, 2285, 909, 8627, 4840, 0, 3698, 568, 300, 2255, 4433, 267, 533, 2187, 825, 1948, 3490, 2013, 281, 8737, 12055, 908, 998, 4806, 543, 5569, 454, 825, 952, 711, 533, 912, 1038, 2132, 711, 521, 692, 825, 1761, 8548, 2255, 815, 536, 944, 4433, 264, 543, 533, 314, 271, 316, 538, 2715, 338, 314, 271, 3910, 1412, 9538, 10926, 825, 952, 7003, 9638, 264, 13843, 476, 273, 543, 533, 314, 272, 316, 2652, 24003, 12466, 1038, 1948, 476, 272, 264, 18178, 538, 4806, 282, 476, 273, 264, 1832, 538, 4806, 630, 332, 755, 723, 2901, 1412, 9538, 610, 6474, 994, 1038, 2132, 1582, 18994, 300, 2255, 4433, 267, 533, 314, 273, 281, 8079, 610, 630, 13607, 1113, 8548, 2255, 543, 1582, 18994, 300, 2255, 4433, 314, 272, 281, 3910, 533, 994, 825, 12467, 825, 3116, 912, 1038, 952, 1761, 8548, 2255, 912, 2018, 2132, 1582, 18994, 300, 2255, 4433, 314, 272, 281, 3910, 533, 314, 272, 281, 7481, 1038, 3116, 912, 2018, 2132, 8771, 454, 258, 568, 300, 2255, 2891, 12711, 2580, 834, 320, 5602, 258, 568, 300, 2255, 2891, 12711, 2580, 834, 320, 265, 5602, 529, 300, 2255, 3488, 320, 629, 3299, 1412, 322, 265, 320, 265, 321, 5073, 0, 5035, 8827, 912, 825, 1219, 1985, 303, 1069, 16615, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 538, 268, 2897, 3079, 563, 8931, 1038, 8173, 13872, 1038, 1219, 9258, 263, 11034, 267, 15358, 2187, 2018, 1439, 815, 7003, 25225, 264, 910, 476, 272, 454, 2018, 1247, 1376, 2999, 1439, 912, 3546, 10917, 815, 15358, 314, 11034, 2639, 3546, 15358, 314, 11034, 316, 815, 15358, 314, 754, 2639, 3546, 15358, 314, 754, 316, 815, 10917, 454, 3546, 1376, 23785, 272, 454, 3546, 1439, 268, 284, 272, 27030, 13872, 1038, 1775, 815, 7003, 25225, 264, 910, 476, 272, 454, 1038, 1247, 1775, 3436, 476, 271, 543, 15358, 5157, 316, 10922, 15358, 5157, 268, 272, 14158, 2018, 1775, 268, 284, 272, 454, 1038, 952, 1775, 3436, 476, 271, 912, 2018, 1985, 9078, 17999, 815, 7003, 25225, 264, 910, 476, 272, 454, 2018, 1247, 1985, 9078, 17999, 13843, 476, 271, 543, 15358, 314, 10113, 9078, 17999, 316, 10922, 15358, 5157, 268, 272, 14158, 3546, 1985, 9078, 17999, 268, 284, 272, 454, 2018, 10917, 815, 15358, 5157, 268, 272, 2639, 2018, 15358, 5157, 268, 272, 316, 815, 15358, 314, 10113, 9078, 17999, 2639, 2018, 15358, 314, 10113, 9078, 17999, 316, 815, 10917, 454, 1038, 9258, 9217, 267, 15358, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 2929, 7264, 538, 3844, 543, 22583, 20274, 267, 4080, 14775, 547, 476, 1240, 8813, 267, 5216, 4598, 7125, 543, 1079, 3327, 24785, 1093, 2358, 7125, 607, 540, 29869, 11728, 563, 5278, 10685, 24284, 1500, 519, 3375, 547, 9505, 1524, 7357, 1282, 519, 7088, 267, 971, 607, 24282, 12384, 26864, 693, 476, 5002, 272, 19566, 18124, 3118, 267, 799, 6806, 10732, 543, 11728, 563, 15703, 17365, 8637, 267, 593, 519, 824, 1688, 267, 4718, 1166, 4169, 540, 5561, 538, 519, 2395, 3056, 909, 547, 519, 7088, 945, 19345, 519, 21684, 540, 25411, 1255, 899, 3694, 543, 5798, 543, 5144, 563, 302, 18925, 4975, 8387, 5795, 606, 9337, 11728, 12784, 593, 875, 4365, 2175, 941, 7133, 2749, 2533, 563, 297, 3317, 11717, 5062, 5141, 842, 1442, 609, 519, 7780, 1988, 4972, 1767, 1212, 9749, 941, 2324, 547, 7816, 2789, 1216, 1467, 9397, 269, 3509, 5561, 945, 4309, 741, 1216, 689, 26304, 19537, 704, 1216, 2126, 2030, 4810, 1970, 2604, 610, 1100, 1216, 3028, 10732, 12784, 1813, 547, 16171, 5210, 269, 634, 3515, 941, 30465, 10732, 3781, 543, 519, 2030, 729, 476, 1911, 260, 10512, 11728, 267, 5062, 5141, 842, 1442, 1767, 563, 1805, 516, 1115, 8111, 23734, 550, 31434, 9253, 2023, 1767, 476, 4037, 16512, 1212, 9749, 616, 2324, 476, 1321, 3108, 593, 543, 476, 1321, 3108, 1055, 547, 2312, 10754, 563, 2108, 306, 5306, 568, 711, 2500, 538, 713, 4411, 267, 865, 1631, 649, 2461, 1175, 726, 12976, 2223, 9253, 2023, 1767, 269, 5272, 2749, 22190, 28508, 25255, 814, 1044, 15181, 585, 3606, 948, 267, 646, 1767, 563, 290, 4319, 338, 2324, 693, 4024, 29124, 2622, 23076, 3323, 693, 476, 274, 281, 1789, 993, 593, 10732, 547, 2226, 1569, 547, 835, 2196, 3118, 543, 519, 2404, 3454, 328, 1811, 865, 1018, 19426, 2451, 6967, 593, 519, 8430, 1223, 1832, 3001, 269, 634, 19633, 4080, 909, 547, 476, 2412, 5826, 5520, 1131, 581, 3742, 2429, 519, 7088, 267, 4509, 519, 2011, 7615, 267, 19633, 4155, 1811, 267, 2427, 19789, 802, 543, 9441, 18736, 6703, 563, 297, 9655, 7699, 24138, 1767, 2534, 729, 16116, 909, 513, 2370, 693, 4024, 29124, 2622, 23076, 593, 11728, 543, 602, 568, 4397, 998, 13638, 10543, 607, 17631, 2119, 547, 1205, 856, 1354, 519, 1985, 5180, 540, 6777, 269, 22947, 23545, 725, 949, 4584, 909, 1586, 2038, 13723, 267, 646, 1767, 563, 297, 518, 617, 1744, 611, 573, 267, 519, 2749, 779, 15602, 1982, 1544, 1676, 267, 1767, 827, 476, 5908, 1004, 18423, 16074, 10732, 693, 519, 4024, 731, 15604, 17125, 614, 267, 476, 9610, 271, 32065, 12059, 853, 1421, 799, 568, 2630, 4390, 269, 634, 1554, 12062, 693, 13067, 6804, 19137, 267, 476, 15094, 280, 32065, 12059, 853, 1421, 18886, 827, 476, 6110, 1004, 11728, 267, 646, 1767, 563, 2467, 568, 1100, 2243, 602, 20274, 568, 513, 6205, 538, 1648, 269, 1284, 616, 513, 1283, 268, 1015, 2973, 1648, 1533, 602, 2488, 1379, 998, 10731, 2067, 3154, 543, 2842, 1648, 2200, 267, 12419, 519, 9803, 5201, 5777, 538, 519, 4182, 269, 3776, 1967, 568, 6169, 602, 3743, 267, 968, 5472, 540, 519, 26361, 892, 1648, 4507, 1832, 519, 8279, 593, 1247, 5329, 5201, 10097, 563, 302, 18925, 568, 711, 4993, 267, 543, 2760, 786, 581, 267, 1317, 519, 7347, 1379, 7470, 12419, 1648, 547, 20274, 779, 5321, 543, 4213, 568, 851, 540, 513, 1454, 3677, 1920, 982, 1018, 779, 1459, 593, 519, 4639, 11076, 269, 1284, 2461, 513, 10583, 851, 540, 519, 25763, 5295, 623, 944, 267, 606, 7471, 6771, 7470, 4646, 1282, 2622, 2782, 4083, 607, 513, 5698, 540, 20848, 609, 513, 5692, 540, 4180, 5201, 9846, 2139, 585, 2565, 8878, 3646, 269, 11374, 24918, 267, 609, 2640, 540, 25640, 519, 2359, 540, 5201, 7805, 267, 519, 5692, 4797, 543, 1281, 547, 713, 1554, 269, 3683, 519, 1296, 267, 519, 9501, 303, 814, 6738, 922, 1920, 689, 519, 3312, 476, 1556, 10626, 4891, 547, 936, 476, 1911, 2818, 2221, 267, 1631, 8720, 2127, 689, 3345, 21241, 1524, 547, 20274, 543, 519, 7147, 7754, 8518, 548, 563, 9617, 607, 1920, 7554, 3180, 2178, 2066, 3845, 267, 865, 798, 519, 6771, 3515, 2066, 519, 9501, 303, 269, 3683, 476, 2568, 267, 1822, 5195, 540, 1379, 3515, 12701, 2066, 782, 610, 2694, 540, 476, 1691, 2829, 267, 5883, 1648, 689, 1379, 5108, 2959, 12419, 5201, 547, 5321, 543, 4213, 269, 21344, 519, 1648, 2200, 267, 519, 9501, 303, 1568, 476, 2190, 270, 278, 270, 18458, 547, 1832, 519, 8279, 593, 267, 607, 602, 5610, 1797, 6800, 723, 1569, 547, 519, 10464, 652, 1379, 2139, 269, 16065, 2818, 960, 24091, 267, 8384, 543, 5883, 5201, 8928, 689, 7366, 540, 1379, 5108, 2959, 865, 602, 649, 666, 1769, 938, 5321, 267, 946, 938, 14233, 267, 543, 1379, 938, 2729, 563, 2026, 1379, 5108, 2200, 11457, 547, 1331, 3152, 5666, 540, 2973, 1648, 899, 2067, 3154, 543, 2842, 1379, 267, 9501, 303, 779, 2930, 7207, 1450, 1142, 547, 5838, 922, 1655, 2934, 585, 6800, 269, 1280, 1383, 267, 2842, 11396, 3262, 2066, 519, 3148, 1683, 1327, 1049, 4763, 267, 1317, 950, 519, 2842, 568, 711, 25738, 538, 835, 1858, 267, 621, 568, 15983, 25738, 538, 1776, 269, 901, 1970, 21057, 267, 4642, 15041, 2153, 1379, 568, 19610, 609, 2067, 3154, 5108, 547, 1683, 6325, 10097, 5201, 2066, 519, 2295, 1633, 563, 19013, 267, 20274, 568, 1100, 24928, 547, 2067, 12469, 602, 3441, 1379, 3515, 267, 6028, 2629, 1379, 1510, 11444, 547, 2951, 1107, 513, 4641, 602, 5540, 782, 5201, 7488, 540, 875, 621, 779, 6383, 269, 2368, 946, 4250, 12485, 547, 544, 3291, 548, 713, 5168, 267, 855, 8797, 1648, 3609, 568, 16135, 538, 1249, 269, 2353, 1379, 18402, 267, 7488, 540, 1826, 267, 2154, 513, 14388, 543, 7347, 968, 12741, 19814, 892, 547, 3142, 1379, 547, 6800, 563, 302, 18925, 568, 25552, 547, 723, 10731, 2200, 7175, 938, 5912, 547, 15777, 267, 14949, 1379, 267, 543, 649, 2461, 8011, 532, 538, 12419, 1346, 2200, 7064, 547, 968, 5472, 540, 519, 26361, 892, 4507, 543, 938, 7589, 538, 519, 9501, 303, 269, 2060, 5318, 543, 10731, 2973, 1648, 2200, 899, 2067, 3154, 543, 2842, 1379, 267, 543, 519, 4222, 540, 938, 1379, 7470, 968, 26967, 2223, 20274, 6800, 786, 3136, 547, 4324, 689, 1569, 547, 519, 10464, 652, 1379, 538, 519, 4182, 563, 299, 3951, 307, 4041, 681, 8016, 298, 267, 18206, 269, 1107, 634, 25763, 5295, 623, 944, 4604, 540, 19971, 814, 11221, 700, 15967, 19162, 749, 607, 9501, 303, 779, 10324, 13030, 7022, 543, 8783, 5665, 11464, 563, 301, 1157, 749, 8678, 9501, 303, 538, 476, 1960, 278, 543, 1034, 5063, 6039, 607, 9972, 13030, 7022, 540, 4702, 563, 2026, 9972, 13030, 7022, 540, 4702, 267, 19162, 749, 729, 3743, 585, 28068, 1646, 540, 9501, 303, 779, 6237, 6771, 7269, 4566, 267, 11865, 540, 11718, 954, 28947, 267, 6771, 267, 543, 2883, 20316, 15949, 3101, 2533, 267, 7245, 540, 6237, 4199, 6631, 2329, 4507, 267, 543, 11865, 540, 10727, 543, 2344, 4238, 4702, 1489, 563, 301, 1157, 749, 814, 811, 982, 476, 2767, 1296, 540, 6771, 4058, 543, 4238, 1995, 538, 519, 3167, 10626, 2872, 269, 1261, 8678, 9501, 303, 538, 476, 1960, 278, 607, 606, 4238, 11653, 269, 1261, 729, 15469, 547, 519, 2359, 2319, 538, 476, 1960, 279, 543, 2968, 13030, 7022, 540, 4238, 538, 476, 1220, 279, 563, 6524, 11836, 9501, 303, 267, 646, 6039, 538, 4702, 5107, 609, 570, 6160, 320, 2861, 5398, 6796, 3213, 269, 540, 20274, 563, 301, 1157, 749, 814, 513, 20277, 779, 4110, 538, 5122, 4702, 689, 519, 2160, 540, 570, 6160, 320, 543, 568, 513, 10927, 540, 12370, 6355, 3427, 779, 11628, 5004, 5358, 563, 299, 3951, 307, 4041, 681, 8016, 298, 267, 18206, 269, 1107, 634, 25763, 5295, 623, 944, 4604, 540, 19971, 5697, 22526, 2672, 1375, 547, 4196, 607, 519, 3919, 779, 7022, 543, 16628, 2500, 2663, 713, 1032, 563, 306, 10212, 568, 4867, 9501, 303, 779, 9972, 13030, 7022, 540, 1344, 2029, 543, 8783, 3354, 11464, 563, 306, 10212, 786, 5372, 19162, 9466, 267, 945, 8678, 9501, 303, 538, 476, 2735, 276, 543, 814, 6039, 607, 7022, 543, 16628, 2094, 476, 1220, 274, 269, 9466, 9307, 4566, 538, 5147, 547, 13649, 538, 476, 1708, 271, 269, 634, 4604, 779, 23318, 5205, 513, 3084, 3406, 543, 5542, 1184, 269, 5004, 17874, 6109, 21651, 32083, 4889, 919, 4857, 543, 17022, 1540, 4835, 543, 5007, 10457, 7247, 941, 1287, 26906, 14916, 676, 513, 5542, 12233, 9967, 540, 4604, 2818, 543, 9466, 563, 2026, 9501, 303, 779, 9972, 13030, 7022, 540, 8668, 543, 8783, 3354, 11464, 267, 2672, 1375, 1463, 338, 519, 1646, 267, 6189, 267, 6388, 267, 5464, 267, 1489, 267, 3354, 543, 26313, 2533, 3177, 676, 9501, 303, 547, 922, 2818, 543, 5561, 269, 2701, 568, 3743, 585, 9591, 8668, 4640, 543, 4507, 543, 3384, 519, 8668, 5718, 2319, 269, 634, 8257, 814, 476, 13679, 5520, 563, 306, 10212, 814, 476, 1789, 1296, 540, 8668, 1995, 538, 519, 3167, 10626, 2872, 269, 2701, 8678, 9501, 303, 538, 476, 1960, 278, 607, 513, 9972, 8668, 11285, 269, 2701, 814, 1044, 513, 4759, 540, 519, 9501, 303, 2359, 2319, 2094, 476, 1960, 280, 543, 2968, 13030, 7022, 540, 1344, 2029, 538, 476, 1001, 271, 543, 8783, 3354, 11464, 538, 476, 1001, 277, 563, 9515, 814, 513, 20277, 779, 4110, 538, 2780, 2257, 689, 519, 2160, 540, 17039, 693, 700, 2378, 599, 8291, 543, 6192, 519, 11628, 5004, 5358, 693, 12370, 6355, 3427, 538, 476, 1001, 274, 563, 1103, 476, 1001, 279, 267, 1352, 8547, 519, 15557, 7690, 585, 6468, 267, 513, 18758, 3919, 5059, 593, 30015, 2021, 585, 1967, 267, 1759, 538, 9741, 9412, 267, 18206, 563, 21026, 8054, 5295, 623, 944, 21314, 519, 3167, 7470, 2066, 476, 1704, 3844, 543, 7262, 772, 2529, 269, 2829, 267, 1519, 20274, 267, 543, 2488, 1648, 2533, 593, 513, 4579, 4493, 547, 5561, 538, 1312, 519, 8109, 543, 5375, 3955, 6618, 687, 563, 30262, 1168, 762, 1379, 2504, 1369, 519, 25763, 5295, 623, 944, 6603, 1007, 1164, 338, 2063, 3923, 563, 30262, 1168, 762, 2200, 20039, 585, 476, 6507, 260, 540, 5201, 3977, 593, 4239, 269, 476, 1240, 538, 519, 25763, 5295, 623, 944, 779, 476, 1691, 15581, 8513, 267, 799, 2882, 20274, 269, 6489, 1379, 20039, 585, 476, 7597, 260, 593, 602, 1554, 269, 634, 1554, 1354, 267, 2842, 1379, 2504, 6603, 513, 2594, 1164, 540, 476, 1704, 267, 276, 4817, 19251, 1177, 30476, 267, 519, 6237, 6771, 3919, 4080, 563, 9915, 303, 18058, 28154, 2725, 12174, 590, 1197, 1767, 519, 3105, 5638, 941, 1305, 4989, 476, 2767, 950, 7791, 1379, 20039, 585, 476, 10170, 269, 275, 260, 540, 782, 3977, 543, 2842, 1379, 20039, 585, 476, 6858, 269, 274, 260, 540, 2504, 269, 634, 1875, 2914, 785, 7791, 1379, 2504, 593, 4239, 269, 476, 1240, 3357, 689, 19558, 1077, 543, 3653, 267, 590, 1197, 1767, 563, 9915, 303, 13327, 525, 519, 3167, 7470, 998, 476, 2568, 267, 1822, 5195, 540, 6771, 3515, 538, 476, 1691, 2829, 267, 7674, 476, 1240, 2929, 1004, 563, 291, 904, 899, 4239, 269, 476, 1240, 4755, 950, 2842, 11396, 1995, 968, 335, 1156, 1580, 531, 2842, 2395, 2223, 799, 2356, 4386, 2066, 1896, 9501, 303, 2842, 11396, 693, 2899, 607, 4365, 7575, 998, 606, 1858, 267, 21992, 5295, 19137, 21470, 5518, 4460, 962, 919, 1767, 563, 1103, 476, 1001, 279, 267, 2842, 1500, 909, 476, 2537, 269, 276, 260, 540, 9501, 303, 1648, 2504, 543, 476, 3607, 269, 272, 260, 540, 20274, 1648, 2504, 563, 312, 919, 1767, 519, 1007, 5638, 616, 851, 540, 513, 7678, 538, 519, 2842, 2872, 607, 811, 8704, 4390, 568, 3773, 269, 769, 20274, 4805, 267, 476, 272, 267, 4968, 24448, 540, 4390, 568, 4947, 2228, 1063, 476, 1001, 279, 543, 476, 1708, 271, 267, 962, 919, 1767, 563, 14881, 1589, 621, 779, 711, 2484, 1922, 564, 3481, 547, 2161, 538, 519, 1985, 7008, 540, 1296, 596, 1223, 1294, 20274, 536, 18804, 909, 693, 5176, 476, 2004, 260, 540, 922, 1379, 5108, 4947, 689, 7791, 2200, 2223, 962, 919, 1767, 563, 312, 919, 1767, 607, 2842, 543, 7791, 1379, 5108, 9428, 267, 5755, 786, 1831, 1447, 7986, 267, 4758, 2067, 3154, 543, 824, 2200, 811, 4316, 563, 10870, 531, 814, 8519, 538, 922, 9501, 303, 1648, 9295, 689, 476, 8287, 260, 538, 476, 1001, 272, 547, 476, 5655, 260, 538, 476, 1001, 279, 269, 9737, 4864, 476, 1001, 279, 543, 476, 1001, 280, 267, 5755, 4616, 676, 782, 6080, 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, 30131, 281, 901, 3561, 949, 711, 2099, 1655, 2853, 585, 1699, 1646, 269, 25103, 547, 28085, 543, 824, 2200, 949, 1100, 3476, 581, 4570, 563, 7072, 547, 5680, 30606, 338, 6034, 547, 5680, 6651, 454, 763, 6034, 547, 5680, 5943, 568, 513, 8848, 9092, 1062, 585, 2870, 5680, 30606, 338, 3156, 602, 1569, 513, 6538, 269, 2353, 6034, 547, 5680, 2115, 547, 1711, 519, 3498, 568, 513, 2203, 585, 519, 6538, 267, 799, 596, 666, 1628, 1210, 661, 6865, 617, 601, 518, 563, 1607, 3498, 568, 711, 513, 1305, 540, 11979, 1357, 3817, 269, 5502, 267, 6034, 547, 5680, 3096, 1344, 689, 519, 2203, 693, 678, 29025, 547, 29858, 5352, 519, 3817, 269, 9182, 267, 596, 666, 12189, 707, 3498, 779, 12122, 693, 678, 29025, 1210, 519, 6034, 547, 5680, 19608, 630, 16158, 10112, 9665, 585, 2110, 1040, 1411, 666, 12404, 9988, 267, 12404, 741, 3601, 267, 556, 4650, 519, 3601, 267, 543, 1689, 519, 1259, 789, 616, 10268, 1510, 973, 20234, 4979, 610, 882, 320, 684, 4221, 519, 3498, 563, 16391, 1436, 540, 901, 11657, 454, 1607, 1433, 2488, 606, 4367, 547, 6034, 547, 5680, 543, 1287, 6257, 519, 2035, 596, 3580, 991, 547, 917, 950, 596, 21160, 513, 6034, 547, 5680, 3498, 563, 2414, 948, 596, 1265, 1018, 596, 616, 3168, 585, 267, 713, 1433, 568, 5258, 883, 1614, 6967, 11271, 912, 2304, 4985, 547, 6034, 1677, 5680, 2982, 875, 547, 1628, 513, 6034, 547, 5680, 1788, 543, 1685, 2241, 29356, 4247, 593, 621, 563, 17445, 547, 5680, 15339, 6257, 519, 3334, 543, 5049, 3238, 538, 10451, 6034, 547, 5680, 3817, 563, 20578, 1944, 513, 6034, 547, 5680, 13335, 11828, 1896, 2081, 547, 21160, 519, 2623, 540, 513, 6034, 547, 5680, 3498, 543, 6799, 1614, 2407, 1806, 912, 320, 3959, 7400, 5057, 602, 1196, 1080, 7389, 1210, 1402, 5346, 8638, 454, 320, 1007, 4305, 2985, 1572, 606, 12575, 2000, 626, 2985, 602, 1196, 1080, 1896, 3615, 693, 513, 942, 563, 32061, 17452, 547, 513, 6034, 547, 5680, 3498, 563, 763, 1101, 1888, 568, 5078, 585, 513, 5680, 30606, 338, 19444, 269, 634, 2063, 1079, 3584, 616, 5497, 585, 513, 27732, 945, 568, 2907, 5432, 609, 5680, 30606, 338, 267, 4481, 11769, 3146, 331, 725, 1222, 9781, 543, 519, 5680, 30606, 338, 7662, 268, 24978, 4783, 269, 1280, 811, 1344, 827, 11769, 3146, 331, 725, 1222, 9781, 267, 1294, 5680, 30606, 338, 27617, 27014, 14691, 6651, 269, 1280, 811, 1344, 827, 519, 5680, 30606, 338, 7662, 268, 24978, 4783, 267, 1294, 5680, 30606, 338, 5680, 10241, 14691, 6651, 269, 0, 1692, 547, 25460, 8784, 4457, 18780, 454, 12441, 596, 917, 519, 834, 336, 257, 538, 513, 4457, 2012, 568, 2965, 14733, 899, 834, 577, 22172, 10435, 606, 4674, 547, 24969, 4457, 4408, 7157, 2982, 2463, 585, 741, 2528, 543, 5932, 513, 811, 8537, 543, 22205, 1604, 693, 24543, 269, 2311, 713, 13186, 267, 28752, 786, 1451, 513, 1906, 2241, 4388, 543, 2119, 856, 930, 4052, 2645, 607, 789, 2744, 811, 6015, 950, 15749, 1424, 4457, 4408, 563, 1607, 13186, 568, 4547, 547, 596, 676, 6820, 9024, 328, 2510, 543, 4139, 9906, 543, 10104, 7896, 607, 851, 540, 7489, 7414, 29474, 2677, 328, 1977, 11595, 13600, 563, 293, 27518, 267, 2904, 476, 2641, 693, 476, 272, 281, 876, 10975, 29919, 7926, 0, 288, 5691, 19922, 540, 1148, 2813, 676, 1053, 538, 9344, 918, 998, 476, 279, 693, 3600, 2313, 6339, 5398, 12140, 538, 3600, 2313, 6339, 267, 12590, 256, 2422, 519, 2451, 11804, 10624, 2630, 547, 2263, 782, 15225, 563, 307, 11698, 267, 4989, 476, 1724, 267, 476, 1708, 272, 454, 298, 268, 273, 781, 7822, 24747, 7420, 454, 763, 2681, 8868, 568, 513, 1907, 602, 2337, 5159, 2697, 2681, 6688, 543, 2681, 30012, 269, 634, 7822, 24747, 7420, 4280, 918, 268, 273, 1053, 547, 1711, 513, 9764, 31174, 720, 1210, 3615, 538, 3119, 543, 6281, 4778, 269, 17949, 741, 13144, 256, 0, 5715, 3704, 630, 27306, 264, 12909, 547, 1279, 942, 2916, 1689, 7858, 328, 1807, 585, 519, 16515, 1998, 340, 6554, 267, 3220, 27950, 674, 787, 607, 519, 1158, 10742, 538, 15576, 578, 823, 267, 12996, 713, 3923, 547, 3803, 1047, 519, 4341, 1433, 540, 519, 8303, 8693, 7827, 15716, 269, 3220, 674, 787, 16887, 3838, 1010, 5784, 593, 519, 2487, 1867, 540, 519, 6167, 779, 3955, 32744, 19937, 593, 8693, 7827, 827, 476, 272, 269, 276, 5232, 563, 27306, 281, 1548, 729, 707, 5114, 950, 596, 1224, 998, 519, 5767, 1867, 540, 519, 7379, 6717, 593, 519, 5222, 540, 2518, 8337, 540, 476, 272, 269, 276, 2554, 595, 1657, 840, 11897, 12009, 2157, 888, 9281, 281, 634, 1867, 9672, 519, 4145, 649, 2141, 1185, 827, 2916, 1689, 267, 607, 649, 616, 2907, 7680, 519, 5222, 540, 2916, 1689, 267, 3226, 998, 811, 4049, 7814, 2158, 543, 4365, 2621, 269, 589, 2487, 6167, 1867, 2829, 602, 519, 2804, 1942, 540, 2916, 5829, 12469, 5734, 2475, 259, 273, 269, 1839, 18265, 936, 519, 2063, 1079, 5756, 267, 606, 2333, 540, 811, 982, 476, 7742, 829, 1298, 3379, 547, 519, 3105, 476, 736, 1296, 269, 898, 568, 1273, 1836, 6654, 602, 649, 616, 7092, 519, 5222, 540, 2916, 1689, 1631, 269, 17006, 1776, 476, 271, 269, 276, 2554, 595, 2837, 786, 1118, 1919, 513, 2898, 2603, 8338, 563, 263, 5649, 811, 693, 281, 4179, 2517, 31850, 3820, 30406, 270, 1001, 279, 268, 1015, 12641, 1493, 30499, 16162, 7539, 27940, 1513, 11258, 258, 329, 290, 335, 994, 27306, 281, 12984, 972, 4376, 1007, 596, 1224, 538, 519, 1867, 610, 621, 729, 899, 267, 968, 307, 340, 1998, 340, 5143, 596, 865, 892, 888, 9281, 281, 2755, 649, 941, 3222, 540, 4145, 267, 519, 3877, 540, 519, 3621, 1382, 729, 2484, 811, 2143, 982, 1018, 649, 6785, 6000, 269, 31700, 827, 519, 3203, 545, 543, 9265, 2530, 616, 930, 540, 519, 3877, 602, 723, 1044, 12006, 538, 519, 1867, 269, 7591, 519, 586, 279, 3756, 267, 6001, 267, 723, 1187, 269, 7591, 519, 586, 279, 6690, 3756, 540, 631, 9222, 267, 12736, 343, 267, 5198, 267, 15963, 269, 634, 1034, 2442, 4015, 540, 586, 279, 3756, 2228, 563, 27306, 281, 3245, 519, 1867, 267, 1018, 786, 16515, 1998, 340, 1413, 899, 267, 1312, 593, 2244, 543, 693, 4262, 267, 952, 2518, 8337, 568, 6854, 693, 476, 272, 269, 276, 2554, 595, 610, 1447, 888, 9281, 281, 16515, 1998, 340, 568, 2693, 547, 1413, 1454, 1114, 547, 1018, 621, 568, 2221, 269, 898, 5673, 593, 1018, 1576, 540, 2962, 649, 1491, 547, 2232, 519, 2693, 5222, 269, 7600, 1227, 649, 616, 2469, 547, 723, 547, 1628, 909, 938, 9381, 1219, 1878, 1996, 7088, 1147, 2471, 269, 901, 1797, 2679, 1585, 3029, 540, 9381, 4027, 971, 607, 4262, 6821, 269, 1284, 616, 2693, 547, 723, 547, 1265, 2081, 540, 17666, 519, 15038, 540, 1804, 2694, 540, 519, 2197, 865, 602, 19601, 32465, 1729, 1224, 811, 4444, 707, 2123, 5299, 693, 454, 1103, 4864, 267, 519, 4139, 16010, 15278, 630, 9281, 290, 264, 4371, 1079, 1360, 1857, 2621, 538, 674, 25702, 799, 1129, 4705, 513, 1007, 14942, 1935, 538, 741, 960, 538, 674, 25702, 269, 2290, 729, 519, 10131, 540, 513, 1007, 1353, 621, 3812, 267, 14102, 676, 519, 6554, 540, 5245, 267, 11331, 281, 3245, 12426, 547, 12875, 626, 7305, 543, 519, 824, 729, 519, 10131, 540, 513, 1007, 1788, 547, 3895, 12820, 6269, 9285, 1126, 3249, 538, 674, 25702, 563, 763, 2621, 941, 13166, 9250, 538, 2672, 9366, 676, 835, 540, 594, 15598, 779, 21470, 5518, 585, 5607, 543, 519, 7414, 267, 715, 6511, 853, 11798, 329, 28325, 545, 267, 945, 3576, 909, 519, 1909, 538, 5130, 267, 1310, 2324, 538, 519, 594, 15598, 543, 922, 11078, 13539, 519, 2622, 7813, 585, 936, 476, 1839, 1296, 563, 29368, 779, 667, 542, 529, 807, 21741, 675, 7666, 857, 9575, 909, 609, 853, 11798, 329, 28325, 545, 1282, 1200, 3251, 538, 2672, 9366, 1141, 1352, 3838, 513, 3787, 827, 519, 960, 594, 15598, 786, 581, 3257, 538, 519, 7414, 3148, 563, 29368, 281, 15681, 721, 513, 3787, 827, 707, 4282, 1995, 543, 875, 596, 2503, 547, 4019, 602, 538, 707, 960, 538, 519, 7414, 3148, 888, 306, 1729, 559, 329, 28325, 545, 281, 594, 993, 689, 28993, 267, 513, 2197, 538, 519, 26811, 753, 269, 2334, 676, 3294, 568, 17866, 543, 568, 513, 4655, 4299, 2197, 1317, 540, 519, 3540, 2112, 269, 594, 2451, 519, 2197, 538, 476, 1960, 276, 543, 723, 5249, 585, 594, 15598, 585, 3592, 476, 1839, 1296, 1631, 269, 9861, 689, 513, 3384, 2197, 814, 5280, 803, 1174, 1646, 2042, 543, 1646, 2591, 538, 2477, 1141, 594, 15598, 1568, 2066, 519, 8608, 269, 1924, 594, 1223, 2141, 9305, 547, 2152, 540, 4008, 267, 5989, 267, 2152, 540, 6526, 1006, 543, 621, 814, 4547, 803, 547, 519, 7414, 267, 609, 930, 2093, 540, 875, 649, 666, 948, 7414, 2477, 1020, 2417, 269, 1656, 519, 2034, 3364, 594, 1616, 547, 1448, 856, 689, 1250, 4282, 568, 519, 1871, 540, 2348, 5249, 2066, 519, 1870, 3515, 540, 594, 15598, 269, 4107, 540, 721, 2097, 689, 519, 5092, 10080, 267, 799, 11414, 721, 875, 547, 2497, 8852, 267, 875, 547, 2697, 19311, 3785, 609, 519, 4357, 5823, 269, 594, 8885, 1185, 519, 17979, 547, 960, 593, 28007, 2533, 269, 594, 729, 4881, 782, 540, 594, 15598, 779, 28007, 2533, 269, 594, 849, 1185, 519, 4316, 547, 960, 585, 519, 2622, 7813, 547, 1174, 875, 519, 1857, 5823, 1568, 269, 1306, 513, 13030, 7022, 267, 594, 729, 4881, 741, 2518, 2853, 269, 1656, 1287, 849, 930, 5499, 2883, 7405, 547, 632, 16151, 519, 4357, 5823, 269, 1924, 609, 513, 8552, 540, 2883, 2645, 543, 609, 1250, 5169, 689, 513, 3384, 2197, 267, 594, 3494, 602, 594, 666, 1631, 946, 782, 540, 602, 547, 2936, 930, 5499, 3435, 1934, 538, 519, 7414, 563, 29368, 281, 2659, 4282, 2882, 5009, 1646, 8804, 269, 1548, 568, 621, 543, 922, 10083, 538, 519, 7414, 888, 306, 1729, 559, 329, 28325, 545, 281, 28611, 594, 15598, 18083, 4357, 5823, 3549, 269, 1656, 607, 596, 917, 950, 4357, 5823, 1902, 338, 267, 4357, 5823, 6499, 12434, 267, 6499, 547, 1118, 2724, 267, 6499, 547, 1118, 741, 4213, 19311, 269, 1548, 649, 723, 1483, 2213, 568, 602, 538, 930, 2477, 267, 1519, 538, 519, 7414, 267, 711, 782, 519, 3785, 666, 581, 5612, 19311, 543, 14323, 269, 1924, 519, 5499, 2883, 7405, 602, 649, 1631, 723, 1450, 721, 547, 1683, 20762, 8804, 267, 799, 568, 11720, 539, 2630, 2344, 3928, 610, 5010, 3928, 267, 547, 5000, 4357, 5823, 547, 1902, 269, 769, 513, 1101, 540, 922, 2186, 1788, 538, 513, 1880, 5823, 267, 2899, 649, 3142, 4357, 5823, 547, 971, 513, 1788, 1210, 1346, 632, 268, 5142, 6362, 7405, 267, 649, 2965, 666, 1020, 513, 5823, 2417, 267, 649, 2965, 666, 1020, 513, 18180, 540, 3785, 538, 519, 5823, 543, 3142, 811, 4357, 5823, 547, 7119, 269, 1284, 2965, 723, 513, 2039, 540, 2833, 899, 713, 538, 4000, 1141, 649, 5249, 593, 519, 1101, 540, 922, 2186, 623, 13048, 3859, 1788, 538, 835, 2197, 543, 649, 616, 1631, 18440, 621, 2066, 824, 2477, 543, 649, 616, 1631, 3843, 547, 2936, 930, 540, 1346, 3435, 1934, 538, 519, 7414, 269, 2334, 779, 960, 538, 3356, 855, 649, 723, 7405, 543, 2645, 602, 649, 666, 946, 2907, 538, 519, 7414, 563, 29368, 281, 2334, 18387, 1406, 1044, 2944, 538, 519, 7414, 888, 306, 1729, 559, 329, 28325, 545, 281, 3502, 1454, 269, 1284, 1185, 513, 1101, 9744, 540, 602, 2470, 609, 519, 4888, 313, 7813, 1141, 649, 616, 3843, 547, 1020, 4130, 7791, 1648, 3785, 2066, 476, 279, 2477, 538, 519, 7414, 543, 585, 602, 9744, 799, 568, 2475, 259, 2004, 2929, 267, 649, 2461, 1210, 20762, 8804, 547, 632, 16151, 519, 3785, 269, 1656, 952, 713, 3070, 1568, 585, 7791, 1648, 267, 649, 666, 946, 621, 585, 1114, 5823, 267, 649, 666, 2497, 930, 2147, 6703, 609, 1507, 543, 5420, 4213, 267, 538, 6683, 610, 1022, 824, 9922, 563, 29368, 281, 4208, 7791, 1648, 888, 306, 1729, 559, 329, 28325, 545, 281, 1284, 607, 519, 2622, 7813, 6828, 543, 594, 15598, 538, 1880, 616, 2519, 593, 15777, 2959, 540, 1648, 543, 4543, 2477, 2901, 2333, 1569, 547, 1379, 1107, 1317, 930, 2477, 538, 519, 7414, 267, 7429, 674, 25702, 267, 674, 25702, 3592, 814, 2407, 1569, 547, 1648, 267, 855, 538, 519, 454, 1278, 2477, 267, 649, 1810, 1406, 723, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1109, 274, 18890, 454, 20573, 264, 6892, 1109, 274, 269, 276, 18890, 454, 27887, 264, 6892, 1109, 275, 18890, 692, 272, 269, 589, 269, 476, 1428, 7643, 692, 2791, 917, 602, 1312, 6276, 543, 15576, 616, 6972, 585, 519, 1482, 3259, 540, 942, 267, 543, 596, 1616, 547, 917, 1018, 602, 942, 568, 267, 865, 585, 519, 4090, 267, 1175, 1289, 621, 512, 269, 6276, 786, 3802, 630, 279, 3952, 270, 16149, 264, 1535, 512, 3952, 630, 3433, 1535, 942, 1070, 543, 15576, 786, 3802, 630, 1321, 3952, 270, 16149, 264, 1535, 512, 3952, 269, 8625, 267, 789, 3802, 476, 4968, 3952, 267, 865, 596, 917, 602, 476, 279, 339, 1341, 476, 1321, 339, 815, 476, 4968, 780, 11754, 1927, 899, 2474, 543, 596, 1205, 476, 736, 339, 815, 476, 4968, 267, 543, 950, 596, 7941, 596, 1294, 602, 512, 815, 476, 1428, 269, 1411, 666, 1589, 827, 4559, 676, 19551, 602, 596, 2461, 12270, 476, 4968, 3952, 676, 476, 736, 3952, 270, 16149, 267, 799, 1568, 856, 547, 476, 1428, 7643, 269, 14893, 630, 288, 264, 568, 707, 2626, 780, 273, 269, 667, 269, 476, 4281, 5195, 692, 20670, 291, 543, 1318, 12730, 286, 1411, 666, 798, 621, 256, 8571, 3054, 513, 4605, 1101, 780, 2791, 917, 602, 1142, 10935, 568, 10707, 585, 476, 273, 3108, 267, 865, 596, 666, 946, 21512, 291, 547, 3313, 875, 2484, 1142, 814, 14612, 281, 476, 1789, 5195, 585, 519, 13743, 29539, 543, 476, 7761, 5195, 585, 519, 5179, 29539, 269, 3767, 782, 596, 991, 547, 798, 568, 4019, 519, 25355, 11532, 547, 4137, 856, 875, 2484, 6306, 519, 16996, 616, 281, 476, 23714, 1341, 476, 278, 2420, 815, 546, 273, 282, 476, 12010, 1341, 476, 276, 1240, 275, 815, 546, 273, 282, 546, 815, 476, 4281, 5195, 6306, 267, 14893, 630, 291, 6393, 274, 269, 595, 269, 476, 274, 18890, 692, 2414, 1265, 5981, 529, 779, 3328, 3432, 267, 596, 1101, 991, 547, 1265, 519, 2698, 3845, 1352, 14612, 543, 519, 2698, 942, 602, 1352, 729, 10707, 630, 28205, 1312, 1331, 519, 942, 602, 1352, 729, 11074, 32656, 1280, 519, 1101, 851, 540, 1200, 7552, 267, 5981, 529, 14612, 585, 476, 736, 3764, 267, 610, 476, 272, 270, 274, 540, 606, 5662, 267, 693, 513, 2557, 540, 476, 274, 5195, 829, 5662, 780, 8794, 21512, 291, 267, 596, 666, 1294, 602, 1352, 14612, 476, 272, 13304, 1282, 1346, 1101, 476, 736, 3764, 269, 5981, 529, 4769, 1406, 1118, 4464, 3356, 1282, 1200, 6049, 6643, 267, 865, 596, 917, 602, 1352, 6170, 519, 1101, 476, 3607, 3764, 2469, 476, 272, 13304, 269, 769, 519, 6967, 476, 2190, 3764, 630, 2568, 1107, 476, 3607, 815, 476, 2190, 3764, 264, 540, 519, 5662, 267, 5981, 529, 15336, 693, 513, 2557, 540, 476, 276, 5195, 829, 5662, 780, 2190, 3764, 856, 540, 476, 2568, 568, 519, 1482, 607, 476, 273, 270, 276, 540, 606, 5662, 269, 4635, 21512, 291, 267, 630, 273, 270, 276, 264, 1535, 476, 276, 815, 476, 273, 5195, 540, 2951, 1282, 519, 2063, 476, 2190, 3764, 267, 585, 513, 2698, 540, 476, 274, 5195, 538, 476, 2568, 3764, 269, 901, 2306, 5981, 529, 779, 3328, 3432, 476, 274, 5195, 829, 5662, 267, 14893, 630, 290, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18352, 2126, 267, 945, 723, 519, 2702, 547, 27459, 1047, 543, 1291, 519, 4480, 540, 1866, 538, 519, 1360, 1482, 2361, 269, 4256, 960, 3322, 519, 2564, 5868, 267, 2126, 607, 1134, 607, 21084, 540, 2175, 607, 1134, 607, 7063, 12018, 519, 1599, 267, 5943, 543, 3350, 540, 519, 20258, 1062, 540, 519, 1560, 269, 1358, 3761, 2533, 547, 519, 2550, 609, 519, 6662, 540, 4543, 873, 547, 16056, 741, 3339, 4247, 269, 1358, 10123, 3895, 607, 1134, 607, 1489, 23312, 2069, 585, 14382, 12060, 607, 1134, 607, 9647, 18352, 3797, 538, 519, 2136, 2276, 543, 849, 13383, 269, 4658, 7231, 609, 6186, 610, 1850, 23043, 1813, 547, 32657, 2355, 610, 2175, 666, 8415, 14382, 4854, 17873, 1310, 741, 973, 10967, 566, 689, 971, 7063, 269, 1160, 560, 12060, 543, 9647, 18352, 616, 1031, 585, 2022, 3491, 560, 4854, 17501, 543, 849, 1689, 547, 519, 17873, 269, 634, 2543, 547, 5078, 6257, 519, 4090, 689, 519, 8009, 540, 4929, 519, 15717, 610, 519, 4266, 540, 2063, 2500, 10380, 540, 14382, 4854, 6186, 610, 7953, 269, 634, 1974, 540, 942, 585, 519, 5078, 607, 1134, 607, 14842, 12346, 593, 519, 4990, 540, 5945, 602, 814, 2965, 12936, 519, 6186, 610, 1850, 269, 1160, 560, 12060, 607, 1134, 607, 9647, 18352, 723, 3964, 585, 1082, 1296, 547, 6474, 519, 4657, 4170, 540, 2550, 10010, 609, 1585, 12204, 540, 7063, 269, 769, 1249, 267, 621, 568, 606, 1148, 1106, 2348, 519, 4390, 547, 3142, 1394, 1599, 676, 21338, 13542, 609, 519, 30273, 1062, 269, 5221, 519, 4876, 540, 14382, 12060, 543, 9647, 18352, 568, 7139, 11717, 908, 267, 621, 814, 2965, 2097, 547, 581, 1271, 547, 3035, 513, 2362, 1377, 540, 2069, 543, 1565, 585, 10453, 602, 7287, 547, 1246, 713, 13567, 269, 8409, 530, 5109, 547, 7119, 538, 713, 13567, 666, 2901, 18934, 585, 14382, 12060, 543, 9647, 18352, 2852, 1377, 2866, 610, 26885, 3292, 6035, 676, 7694, 5238, 543, 1858, 12621, 269, 31849, 540, 4123, 12621, 543, 849, 1858, 12621, 2709, 4110, 3292, 538, 14382, 12060, 543, 9647, 18352, 602, 666, 581, 8737, 538, 1175, 835, 1032, 269, 4841, 666, 3442, 547, 1129, 909, 538, 14382, 12060, 543, 849, 9647, 18352, 2852, 4110, 3292, 609, 1715, 26294, 2749, 5441, 543, 519, 27240, 4659, 540, 5303, 269, 2311, 519, 10927, 4110, 267, 27466, 525, 1382, 1272, 9443, 585, 513, 20277, 779, 4110, 267, 9967, 540, 17539, 267, 7350, 267, 607, 1134, 607, 1979, 17190, 543, 7350, 269, 10334, 568, 2838, 547, 2347, 513, 6211, 9443, 1713, 269, 1715, 3840, 5441, 7727, 513, 3099, 540, 2228, 3292, 538, 519, 2127, 540, 14382, 12060, 543, 849, 9647, 18352, 269, 1280, 1346, 945, 6999, 547, 8399, 741, 2090, 540, 14382, 12060, 607, 1134, 607, 9647, 18352, 693, 519, 10927, 607, 1134, 607, 25719, 2157, 267, 789, 666, 979, 1310, 513, 4387, 622, 1377, 538, 17539, 267, 17550, 267, 607, 1134, 607, 1979, 17190, 693, 519, 1715, 3840, 2160, 779, 10266, 1325, 4582, 2747, 5358, 269, 3004, 710, 525, 723, 547, 3442, 1063, 14382, 12060, 607, 1134, 607, 9647, 18352, 610, 6915, 1922, 5419, 566, 607, 741, 2101, 269, 1280, 1346, 10478, 585, 7694, 267, 1715, 3840, 2160, 814, 3786, 4926, 538, 1715, 26294, 2749, 4975, 267, 24607, 543, 849, 1715, 3840, 3557, 269, 11153, 2852, 1053, 946, 741, 5759, 543, 6791, 540, 14382, 12060, 543, 9647, 18352, 547, 1930, 6216, 20642, 9885, 585, 1346, 10010, 609, 771, 29664, 906, 267, 27656, 2355, 267, 543, 849, 7063, 10912, 585, 16419, 14382, 12060, 607, 1134, 607, 9647, 18352, 269, 589, 3621, 1382, 1377, 1281, 711, 991, 3877, 2866, 282, 20866, 267, 1896, 6009, 991, 2257, 2157, 269, 13966, 609, 4758, 2126, 585, 1346, 538, 3747, 267, 2564, 4648, 607, 1134, 607, 1585, 824, 4966, 3238, 609, 519, 2361, 540, 14382, 12060, 607, 1134, 607, 9647, 18352, 11338, 4308, 609, 1004, 607, 1134, 607, 3885, 547, 3986, 6197, 269, 1677, 1205, 2469, 538, 513, 14785, 543, 849, 5870, 4876, 602, 9607, 1480, 1560, 3621, 1382, 267, 596, 1522, 6999, 547, 2015, 11504, 1851, 519, 3506, 23478, 14382, 12060, 543, 849, 9647, 18352, 3621, 1382, 2157, 269, 901, 568, 606, 4277, 607, 1134, 607, 14785, 9015, 269, 0, 21270, 644, 1326, 2549, 870, 2608, 15276, 454, 382, 354, 273, 267, 8517, 267, 1822, 630, 17445, 8779, 281, 2485, 354, 273, 267, 8517, 267, 1822, 994, 293, 14166, 5729, 476, 1220, 274, 281, 2485, 354, 12010, 267, 1822, 630, 17445, 8779, 281, 2485, 354, 12010, 267, 1822, 994, 293, 14166, 5729, 476, 1220, 273, 281, 2485, 354, 8517, 267, 1822, 630, 17445, 8779, 281, 2485, 354, 8517, 267, 1822, 994, 293, 14166, 5729, 476, 1220, 272, 281, 2485, 354, 272, 267, 1911, 267, 1822, 630, 17445, 8779, 281, 2485, 354, 272, 267, 1911, 267, 1822, 994, 4263, 519, 4098, 540, 713, 1382, 267, 649, 10567, 602, 1486, 690, 2106, 748, 2978, 5090, 24991, 1223, 1685, 1979, 5498, 10745, 20282, 2623, 267, 602, 568, 5480, 607, 513, 5256, 543, 849, 607, 513, 4775, 267, 1152, 585, 513, 1906, 2395, 538, 519, 1974, 540, 3023, 1689, 267, 543, 26063, 789, 1131, 13789, 1152, 607, 519, 3023, 789, 4957, 547, 269, 2552, 9009, 547, 519, 1101, 12605, 267, 649, 1336, 602, 16199, 747, 4141, 637, 5768, 541, 527, 864, 639, 5340, 1979, 5498, 10745, 20282, 2623, 3476, 982, 513, 3018, 538, 519, 1576, 540, 1382, 538, 476, 1220, 272, 269, 1809, 649, 1223, 711, 7747, 20282, 2623, 538, 519, 2361, 1310, 1220, 272, 10285, 4005, 267, 1317, 519, 1216, 24999, 21354, 21022, 19962, 547, 519, 11761, 540, 519, 3037, 269, 1924, 649, 23762, 938, 1382, 6249, 547, 519, 8112, 540, 519, 10285, 2623, 538, 519, 9038, 540, 2978, 5090, 24991, 269, 1306, 513, 1267, 267, 649, 1336, 606, 3355, 5123, 5256, 540, 670, 269, 16013, 659, 592, 9850, 4957, 922, 3023, 883, 4775, 538, 519, 2361, 538, 476, 1220, 274, 269, 901, 2982, 519, 3023, 14305, 540, 3023, 4657, 24991, 616, 19599, 1164, 269, 4329, 267, 649, 1336, 602, 3355, 5123, 9038, 540, 670, 269, 16013, 659, 592, 9850, 1031, 1614, 2010, 540, 10063, 322, 454, 339, 633, 2994, 267, 14229, 1136, 267, 1792, 1136, 267, 543, 1895, 838, 27681, 2687, 547, 741, 6381, 563, 763, 2551, 540, 2201, 577, 29899, 2357, 745, 1529, 23628, 267, 1776, 1382, 1843, 267, 21022, 593, 513, 1804, 4336, 1317, 540, 8626, 27274, 1164, 20352, 7018, 693, 744, 7219, 1177, 534, 5032, 1967, 1947, 269, 1306, 513, 1267, 267, 649, 1223, 711, 1336, 2614, 1297, 540, 2043, 585, 8343, 538, 476, 1220, 272, 269, 769, 476, 1220, 274, 267, 4352, 519, 2949, 1297, 16626, 547, 8912, 1377, 267, 9921, 2043, 941, 711, 2614, 585, 2500, 8343, 269, 1924, 649, 4956, 547, 1689, 1353, 2831, 547, 562, 644, 2320, 21123, 338, 269, 4014, 562, 644, 2320, 21123, 338, 616, 21800, 1200, 332, 7469, 16967, 924, 607, 1134, 607, 2201, 577, 29899, 267, 789, 1491, 1312, 5256, 543, 4775, 1909, 8195, 538, 1142, 2941, 1637, 269, 2201, 519, 824, 1688, 267, 2201, 577, 29899, 6411, 607, 513, 5256, 610, 513, 4775, 538, 1142, 20282, 8317, 269, 1284, 1336, 513, 8984, 18349, 547, 2941, 1637, 538, 2043, 540, 26537, 31121, 529, 17646, 2758, 807, 602, 723, 2907, 2941, 4327, 269, 901, 568, 14669, 547, 519, 12605, 602, 1200, 332, 7469, 549, 9016, 545, 2831, 609, 4835, 22289, 4782, 547, 1491, 4775, 1909, 538, 12093, 267, 1317, 789, 666, 946, 4607, 14203, 711, 1152, 585, 22289, 855, 849, 607, 513, 8770, 269, 10815, 0, 19322, 664, 3096, 519, 3689, 12815, 519, 5403, 21146, 1062, 547, 1528, 513, 6554, 543, 23328, 269, 634, 2197, 568, 5258, 909, 883, 476, 4792, 280, 2582, 4759, 14218, 4293, 267, 1142, 609, 835, 10160, 538, 519, 5600, 540, 12780, 267, 547, 799, 606, 12463, 568, 11221, 1210, 513, 2101, 9107, 1062, 269, 901, 1797, 602, 519, 11134, 945, 12374, 519, 1034, 16018, 538, 602, 14218, 1890, 17993, 519, 10160, 538, 12057, 269, 2368, 1004, 8044, 602, 713, 568, 513, 1434, 21146, 1062, 1317, 621, 7472, 513, 17386, 16771, 269, 1717, 676, 4214, 267, 22640, 1797, 4341, 676, 519, 1004, 267, 4061, 952, 3025, 1281, 711, 723, 606, 3160, 2161, 547, 930, 6708, 267, 1287, 621, 568, 3768, 655, 7095, 563, 293, 8976, 303, 568, 513, 2241, 32469, 1062, 799, 1797, 972, 568, 1100, 844, 7974, 602, 814, 547, 581, 6603, 547, 1831, 519, 12463, 585, 602, 14218, 1890, 267, 972, 991, 1152, 581, 513, 835, 8917, 3017, 269, 901, 666, 2014, 2042, 1317, 952, 606, 12463, 1705, 1152, 3094, 676, 513, 1507, 1297, 540, 16018, 267, 1287, 602, 1131, 1611, 519, 824, 12463, 1590, 723, 1185, 513, 2603, 540, 1489, 547, 543, 4061, 513, 1804, 2179, 540, 519, 2551, 538, 602, 14218, 1890, 616, 2469, 796, 21323, 269, 9603, 547, 519, 1970, 2490, 8083, 693, 3703, 12836, 267, 799, 568, 3006, 607, 1970, 607, 476, 2568, 9077, 713, 1223, 1611, 602, 513, 5458, 8167, 540, 602, 14218, 1890, 814, 1100, 2161, 538, 741, 1378, 4341, 563, 288, 1062, 799, 1281, 1491, 883, 7156, 519, 8917, 540, 519, 5354, 568, 519, 20010, 966, 1774, 1062, 799, 568, 1031, 538, 5245, 269, 20724, 3096, 513, 2147, 1062, 547, 674, 8976, 303, 607, 519, 1528, 28672, 16018, 585, 606, 12463, 538, 741, 14218, 1890, 267, 855, 267, 538, 1931, 547, 581, 11221, 267, 519, 12463, 1590, 4309, 693, 2547, 476, 2004, 260, 540, 519, 8917, 269, 966, 582, 619, 849, 1118, 2034, 543, 3791, 5079, 543, 952, 1100, 12463, 10301, 519, 844, 7974, 267, 519, 12463, 609, 519, 2547, 16018, 568, 17515, 543, 519, 28056, 781, 2034, 3903, 568, 18886, 3079, 269, 901, 5170, 2394, 835, 12463, 814, 476, 2004, 260, 1341, 476, 272, 8917, 267, 538, 799, 2013, 789, 1831, 519, 12463, 585, 602, 14218, 1890, 563, 1607, 568, 1454, 811, 11347, 982, 674, 8976, 303, 607, 713, 1062, 1528, 338, 513, 11134, 945, 814, 519, 5354, 540, 602, 14218, 1890, 781, 1489, 269, 898, 568, 849, 4443, 547, 1397, 7375, 547, 707, 1655, 543, 10782, 11134, 799, 1797, 267, 972, 1131, 581, 606, 4443, 1259, 547, 8917, 8671, 1227, 1247, 3478, 707, 1101, 7375, 2066, 1932, 269, 898, 849, 2771, 1622, 519, 3095, 1063, 12463, 543, 14218, 1890, 267, 2495, 1004, 1745, 811, 3238, 609, 519, 11221, 5428, 269, 1703, 616, 267, 2705, 267, 930, 11393, 607, 1134, 267, 971, 607, 621, 568, 942, 10438, 267, 21179, 919, 1022, 535, 1157, 548, 1689, 538, 1857, 6644, 543, 621, 568, 13974, 16355, 1636, 1308, 547, 674, 8976, 303, 563, 7212, 972, 568, 513, 12233, 1305, 909, 547, 2327, 6302, 14961, 7941, 909, 519, 2197, 267, 865, 602, 972, 568, 606, 3160, 2179, 538, 1142, 14218, 1890, 267, 713, 568, 711, 2141, 2653, 1813, 547, 519, 1114, 5860, 538, 2551, 269, 1280, 1383, 267, 519, 1772, 548, 540, 654, 697, 814, 513, 2551, 540, 476, 11793, 267, 1822, 17037, 6466, 519, 5375, 1772, 548, 1152, 814, 476, 2420, 267, 1822, 267, 799, 1797, 835, 5428, 949, 723, 606, 5413, 1813, 547, 875, 14961, 741, 1489, 568, 3262, 2429, 519, 2197, 269, 634, 674, 8976, 303, 1062, 568, 849, 11630, 547, 15168, 787, 332, 663, 1359, 267, 607, 568, 3254, 538, 700, 1180, 16093, 787, 538, 8581, 563, 299, 1180, 16093, 787, 568, 513, 5631, 7826, 4884, 267, 855, 519, 1804, 7826, 1858, 568, 1152, 835, 14218, 1890, 267, 6466, 519, 4130, 17557, 1858, 814, 1044, 8237, 883, 1614, 14218, 4293, 547, 2285, 519, 14308, 1218, 811, 16295, 538, 12057, 269, 769, 10430, 543, 12986, 267, 789, 723, 606, 3328, 540, 476, 1691, 267, 1822, 1447, 17037, 538, 741, 14218, 4293, 982, 538, 4789, 267, 799, 1797, 602, 3379, 547, 4789, 267, 789, 616, 936, 21323, 543, 4061, 538, 513, 9769, 609, 4789, 789, 1131, 1745, 26173, 269, 1452, 16526, 538, 14218, 4293, 1611, 602, 782, 540, 519, 1528, 28672, 781, 16018, 616, 711, 3160, 563, 288, 28056, 538, 513, 4130, 14218, 1890, 814, 1454, 811, 2161, 538, 945, 4991, 11221, 982, 513, 28056, 538, 513, 1804, 14218, 1890, 267, 1813, 547, 519, 1202, 20138, 766, 540, 835, 1268, 538, 835, 4627, 8536, 1866, 269, 4746, 267, 513, 8917, 585, 513, 9561, 11134, 3587, 513, 24906, 8917, 1317, 621, 1281, 711, 1293, 2509, 3478, 4896, 11221, 267, 543, 2899, 519, 10888, 11134, 814, 6591, 835, 811, 8917, 982, 1010, 17837, 267, 519, 1964, 540, 519, 16018, 616, 1287, 24906, 607, 1134, 269, 769, 476, 1220, 272, 267, 2687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2991, 782, 267, 621, 779, 513, 2370, 2352, 547, 2307, 707, 1126, 547, 2681, 1369, 519, 3515, 543, 960, 28426, 950, 519, 4976, 789, 616, 11423, 538, 18387, 1406, 2944, 519, 1482, 563, 305, 1430, 982, 1210, 3211, 267, 513, 1732, 1505, 568, 547, 946, 1367, 2450, 3043, 12545, 543, 723, 519, 1126, 1603, 3003, 5013, 1082, 2053, 269, 11109, 513, 1126, 1603, 476, 280, 1535, 476, 278, 815, 476, 278, 1535, 476, 280, 815, 476, 8287, 1247, 6031, 9232, 333, 710, 2053, 5722, 568, 519, 1482, 607, 5722, 2053, 8370, 543, 568, 3160, 547, 24239, 31644, 892, 568, 1082, 2053, 811, 3811, 982, 513, 4976, 609, 476, 280, 1535, 476, 278, 815, 31233, 543, 519, 2875, 1175, 14659, 519, 2626, 2899, 543, 1287, 11339, 602, 2626, 593, 519, 26134, 2042, 269, 594, 786, 16153, 602, 972, 568, 835, 1826, 540, 4976, 602, 594, 1031, 538, 519, 2250, 543, 1336, 5266, 6225, 267, 4352, 621, 1185, 513, 1114, 2186, 540, 16950, 269, 1280, 1250, 9978, 4569, 267, 2776, 25575, 5040, 267, 543, 10789, 5049, 267, 594, 1185, 1896, 2835, 540, 9232, 1345, 19295, 9535, 892, 3211, 269, 1452, 3211, 1185, 5309, 338, 610, 11015, 2055, 693, 519, 1283, 267, 543, 607, 519, 1053, 5249, 519, 2042, 789, 941, 2016, 930, 2186, 540, 3009, 585, 7446, 513, 4484, 547, 6474, 602, 2626, 269, 1403, 789, 5249, 519, 2042, 7157, 267, 519, 5022, 5555, 12943, 519, 5309, 610, 678, 1497, 269, 4841, 10150, 891, 3211, 267, 855, 972, 616, 513, 7008, 1966, 2127, 1256, 609, 891, 3211, 269, 2368, 1053, 1131, 1205, 519, 2626, 547, 519, 678, 1497, 2038, 543, 1287, 960, 18807, 689, 4484, 547, 1966, 2626, 267, 865, 789, 14201, 1406, 1565, 610, 8026, 4376, 563, 30357, 13192, 9724, 2979, 3756, 476, 273, 526, 3446, 476, 272, 560, 3446, 2979, 1565, 3756, 1647, 1153, 533, 11170, 9579, 17602, 775, 540, 7285, 543, 1840, 3601, 4976, 4267, 18946, 9981, 1806, 2979, 1449, 11718, 3301, 1863, 476, 272, 10759, 7470, 1957, 7792, 2596, 7223, 4834, 1655, 2979, 6437, 1148, 2238, 585, 9656, 5888, 3113, 1957, 7114, 7285, 1647, 1153, 2979, 30573, 13410, 7317, 8691, 4609, 737, 636, 517, 960, 9248, 1863, 14921, 543, 12270, 17447, 4976, 609, 4267, 1101, 3446, 1565, 6061, 4834, 609, 835, 4756, 4976, 0, 2005, 568, 3274, 513, 2243, 540, 6668, 543, 3811, 2792, 269, 901, 568, 513, 3501, 2110, 543, 2653, 1557, 543, 513, 5037, 593, 519, 2956, 543, 13766, 540, 519, 2296, 1893, 269, 11957, 540, 2296, 1893, 269, 4804, 519, 2296, 1893, 543, 513, 1434, 4971, 936, 519, 2296, 1893, 814, 1390, 2956, 269, 1717, 267, 950, 649, 2161, 2296, 5678, 621, 568, 519, 1353, 540, 519, 1893, 3294, 269, 6787, 606, 2937, 568, 513, 5065, 2296, 10584, 610, 606, 2296, 1893, 15226, 267, 679, 13764, 538, 606, 2296, 1576, 666, 581, 6225, 585, 4948, 1272, 4534, 24015, 267, 2069, 958, 610, 585, 2123, 4128, 269, 769, 713, 2376, 267, 594, 786, 2491, 782, 519, 4128, 543, 2188, 799, 1397, 519, 2956, 540, 519, 2296, 1893, 585, 519, 1053, 269, 4475, 267, 2296, 568, 519, 8789, 1870, 1893, 543, 621, 814, 1831, 3592, 513, 13766, 585, 1004, 547, 3717, 2296, 952, 789, 616, 547, 4283, 513, 2518, 13781, 267, 1382, 689, 782, 936, 519, 1158, 2982, 602, 3444, 31215, 1870, 2792, 568, 1034, 1419, 5342, 538, 2296, 269, 7464, 1944, 519, 2956, 267, 5063, 267, 519, 10579, 540, 4095, 12565, 1811, 267, 700, 531, 5622, 2398, 553, 611, 962, 611, 822, 267, 7569, 3450, 540, 2296, 1893, 538, 3506, 269, 4197, 2296, 18986, 1682, 568, 1271, 1317, 789, 2154, 513, 4514, 23440, 540, 519, 2296, 1893, 547, 10146, 1018, 2576, 1797, 950, 2560, 4804, 2296, 786, 1118, 596, 811, 2308, 762, 547, 711, 1175, 4213, 538, 519, 5177, 543, 2475, 267, 855, 849, 4213, 2066, 519, 1158, 269, 898, 568, 4922, 1031, 538, 4065, 267, 6355, 267, 20176, 625, 267, 543, 1256, 538, 11846, 269, 4208, 2296, 568, 12830, 281, 898, 779, 519, 23008, 320, 8071, 320, 269, 2296, 568, 519, 1893, 540, 1870, 543, 2792, 5001, 269, 2290, 540, 519, 1271, 540, 4974, 713, 2296, 9085, 568, 602, 621, 2636, 1169, 2875, 547, 1020, 741, 2093, 543, 5683, 1796, 9557, 269, 11957, 540, 2296, 20043, 585, 28064, 5020, 269, 898, 1131, 711, 581, 608, 12000, 3130, 547, 2161, 602, 2296, 2221, 814, 519, 1482, 2956, 538, 519, 1158, 607, 5824, 1185, 693, 519, 2053, 540, 4936, 7276, 543, 19744, 2053, 2529, 675, 569, 267, 7429, 5824, 602, 729, 3196, 2685, 6026, 676, 519, 14564, 543, 729, 513, 1129, 540, 513, 12504, 609, 1480, 2924, 543, 2596, 22864, 267, 1565, 2296, 1631, 568, 4628, 513, 1268, 779, 3903, 269, 9282, 594, 723, 4810, 1390, 1967, 543, 18399, 689, 4654, 824, 982, 2296, 267, 2436, 649, 899, 621, 610, 711, 267, 2296, 568, 519, 1034, 3730, 1893, 538, 519, 1158, 269, 634, 1390, 3747, 585, 16075, 538, 2296, 5420, 3506, 2429, 519, 2197, 568, 513, 21981, 547, 519, 16007, 540, 2296, 547, 519, 1004, 540, 3127, 269, 769, 713, 7084, 267, 649, 786, 5581, 519, 2956, 540, 2296, 607, 4139, 543, 14579, 1893, 543, 649, 786, 5581, 602, 1946, 621, 568, 1271, 547, 1451, 2296, 269, 2296, 568, 519, 1034, 7839, 9275, 543, 2854, 1893, 538, 519, 1158, 269, 8131, 519, 5013, 269, 1215, 1454, 519, 2296, 1893, 568, 1271, 585, 1053, 782, 936, 519, 1158, 907, 634, 11957, 2986, 2296, 281, 4014, 519, 2296, 1893, 3085, 1406, 723, 519, 4102, 1297, 540, 5065, 10529, 538, 519, 1158, 267, 621, 814, 519, 11097, 652, 3914, 540, 1022, 1893, 9275, 2221, 269, 2060, 713, 6881, 593, 2296, 568, 513, 1590, 891, 2395, 2560, 901, 2376, 6663, 547, 917, 827, 519, 968, 27735, 540, 2296, 5678, 585, 519, 4841, 538, 4065, 2108, 269, 898, 568, 519, 1893, 799, 568, 1031, 538, 1082, 2477, 269, 898, 568, 519, 1505, 540, 1480, 2792, 267, 2901, 9275, 610, 2854, 267, 9967, 540, 946, 540, 1913, 538, 513, 2497, 543, 6671, 1259, 269, 2296, 568, 606, 1271, 3486, 1893, 547, 4487, 610, 1451, 269, 3194, 676, 11062, 2296, 1336, 602, 2296, 568, 1271, 585, 936, 476, 4817, 260, 540, 12820, 267, 1256, 538, 1082, 2477, 1141, 2296, 568, 711, 606, 4013, 1893, 269, 5463, 4575, 2436, 2296, 568, 1271, 585, 1870, 711, 513, 2243, 540, 4758, 519, 1893, 3152, 2956, 538, 2489, 269, 5637, 5065, 543, 2034, 25082, 10529, 540, 2296, 616, 1336, 593, 1169, 11782, 267, 543, 2296, 814, 1831, 519, 8059, 320, 21473, 8619, 538, 1082, 4610, 267, 1519, 1870, 267, 6214, 267, 2257, 267, 2029, 267, 543, 9913, 267, 547, 2560, 2296, 568, 1634, 607, 519, 3486, 1893, 19951, 269, 1323, 18986, 558, 568, 513, 8360, 610, 6031, 602, 568, 4122, 1031, 538, 4948, 2296, 547, 2769, 1978, 2093, 610, 8369, 563, 289, 1722, 3733, 9839, 2311, 654, 15903, 918, 26234, 3883, 5623, 267, 27202, 8285, 14301, 14168, 267, 12658, 1410, 7179, 1656, 3619, 267, 1215, 1677, 5900, 847, 634, 4414, 6601, 16556, 717, 4592, 2041, 752, 267, 32423, 12182, 25951, 267, 654, 768, 781, 16685, 7348, 1744, 582, 267, 18686, 5441, 23670, 3827, 267, 2160, 13106, 31517, 5516, 10783, 623, 15127, 267, 5851, 1656, 589, 3118, 8606, 2719, 21480, 476, 1708, 271, 267, 623, 15193, 20707, 23063, 7699, 23843, 13044, 17577, 267, 681, 754, 1359, 11473, 1280, 962, 19834, 267, 14732, 589, 745, 526, 601, 6481, 4741, 267, 24930, 267, 32431, 631, 20689, 26335, 267, 0, 8967, 1400, 10260, 23731, 30705, 24945, 5052, 1020, 689, 27436, 1350, 658, 28738, 3218, 2281, 602, 616, 6383, 676, 513, 1507, 15410, 540, 5778, 788, 527, 16773, 2281, 538, 519, 5887, 1537, 851, 540, 519, 8849, 8546, 269, 10410, 2305, 540, 891, 5778, 788, 527, 16773, 23731, 30705, 24945, 974, 840, 15479, 832, 267, 538, 1455, 609, 824, 5887, 1537, 2281, 971, 607, 5179, 11409, 267, 5673, 593, 10641, 21925, 6786, 689, 519, 711, 5255, 867, 543, 5924, 6989, 6676, 269, 634, 5887, 337, 958, 6508, 6786, 666, 581, 13147, 17673, 538, 20117, 676, 29881, 590, 4577, 21963, 32120, 630, 4537, 327, 264, 3940, 269, 744, 5554, 30705, 24945, 5052, 543, 5179, 11409, 616, 13251, 936, 519, 1482, 2039, 540, 9830, 540, 1744, 327, 267, 5812, 609, 519, 2856, 602, 1744, 327, 1522, 14574, 513, 1455, 24888, 540, 5179, 11409, 543, 23731, 30705, 24945, 5052, 269, 589, 22871, 2078, 1063, 5179, 11409, 543, 23731, 30705, 24945, 5052, 814, 5892, 1044, 6700, 676, 804, 4689, 2079, 538, 519, 25782, 7105, 11983, 10260, 269, 1284, 15974, 513, 22871, 6516, 602, 13462, 23731, 30705, 24945, 5052, 543, 5179, 11409, 543, 602, 3217, 883, 2272, 519, 1249, 602, 5179, 11409, 543, 23731, 30705, 24945, 974, 840, 15479, 832, 616, 6383, 693, 1114, 2053, 1282, 1646, 269, 744, 5554, 30705, 24945, 5052, 1522, 8385, 723, 7960, 547, 1671, 515, 987, 5179, 4949, 976, 543, 7520, 513, 4028, 9101, 3210, 269, 1403, 865, 267, 23731, 30705, 24945, 974, 23835, 4094, 344, 543, 18105, 4094, 344, 1522, 2671, 513, 1455, 4493, 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 ]
[ 267, 543, 519, 4262, 543, 519, 6607, 20233, 899, 513, 4452, 593, 1250, 649, 776, 3750, 267, 1656, 519, 4666, 941, 693, 1250, 3952, 563, 763, 1101, 7160, 540, 713, 3209, 729, 3370, 538, 476, 9692, 279, 267, 543, 729, 2854, 676, 15656, 13177, 2051, 518, 3805, 269, 1656, 593, 519, 15922, 519, 7599, 2775, 2482, 267, 1656, 519, 14692, 540, 519, 7599, 269, 634, 4224, 695, 821, 6505, 267, 519, 737, 25184, 1100, 1447, 267, 2334, 6763, 1657, 519, 4224, 281, 634, 7599, 2775, 14869, 539, 538, 14980, 1145, 634, 11931, 4365, 32024, 269, 10979, 6199, 338, 607, 1164, 607, 519, 15958, 540, 519, 6928, 941, 13735, 1934, 543, 972, 538, 519, 4262, 267, 543, 519, 3039, 880, 8086, 540, 519, 4262, 2306, 519, 4672, 6199, 338, 1413, 899, 900, 14283, 269, 634, 6928, 1281, 711, 1847, 543, 519, 25501, 616, 8731, 13586, 676, 19818, 1247, 519, 1152, 3001, 1919, 1472, 519, 3057, 10719, 616, 519, 28489, 344, 7068, 593, 519, 4262, 543, 519, 2669, 3595, 799, 23929, 693, 3781, 269, 634, 6177, 1185, 2760, 1185, 971, 1426, 4505, 267, 543, 621, 729, 29964, 532, 519, 6928, 1317, 972, 729, 1426, 972, 563, 26170, 29279, 547, 1566, 1756, 267, 646, 6410, 538, 609, 519, 10629, 6276, 28711, 2006, 538, 476, 8687, 277, 269, 1656, 1631, 713, 11963, 729, 2879, 2194, 281, 2899, 811, 594, 9763, 519, 5836, 3039, 269, 4256, 20339, 1705, 689, 741, 4703, 8038, 734, 1358, 19679, 547, 1025, 1170, 610, 530, 4141, 256, 11038, 2042, 4797, 547, 20575, 1864, 2429, 1010, 1272, 267, 543, 646, 7683, 31030, 593, 519, 1489, 540, 1866, 269, 2060, 31462, 1846, 5667, 331, 8898, 267, 609, 3109, 17534, 19323, 267, 3397, 1901, 789, 4862, 803, 1289, 281, 3400, 1067, 1097, 256, 2353, 11542, 1927, 593, 519, 16064, 267, 1280, 513, 1347, 6773, 1673, 25128, 517, 3514, 614, 281, 2353, 6378, 593, 803, 741, 588, 3415, 4064, 267, 2334, 538, 519, 7599, 1705, 1350, 7867, 269, 1358, 1767, 646, 1131, 3136, 547, 581, 27052, 585, 11318, 519, 19186, 520, 1484, 267, 945, 729, 6068, 676, 513, 6891, 269, 5502, 267, 23109, 6445, 741, 4703, 267, 543, 1776, 16750, 6891, 896, 519, 5836, 4667, 547, 7903, 519, 10935, 563, 3719, 4166, 972, 3826, 1117, 513, 2842, 593, 803, 267, 7439, 3280, 6862, 5163, 1500, 281, 4706, 2619, 729, 711, 2390, 519, 4262, 267, 769, 678, 21451, 610, 538, 12094, 269, 5502, 540, 519, 3444, 267, 519, 19186, 520, 1484, 6168, 1250, 8405, 729, 8288, 269, 589, 1179, 330, 267, 513, 5134, 267, 513, 3337, 267, 594, 530, 626, 256, 634, 3057, 10719, 13515, 519, 1762, 812, 547, 2995, 1864, 519, 1650, 540, 513, 6928, 267, 3246, 1100, 4367, 855, 3274, 4098, 1010, 9661, 269, 3245, 519, 535, 328, 1742, 267, 602, 20575, 26899, 3976, 256, 634, 5696, 728, 326, 3336, 781, 9885, 616, 8118, 2647, 267, 1656, 594, 993, 1985, 540, 10252, 282, 634, 14538, 616, 1558, 267, 519, 21649, 568, 1305, 281, 2904, 781, 339, 5873, 519, 5789, 787, 7188, 269, 2991, 28069, 942, 789, 1185, 547, 6749, 519, 13743, 543, 972, 729, 2669, 569, 16563, 782, 1472, 269, 0, 21093, 2614, 1216, 849, 568, 1271, 269, 3509, 4966, 4363, 693, 2547, 5216, 476, 279, 268, 8784, 14296, 540, 1216, 3232, 1765, 3467, 952, 596, 3635, 4749, 610, 616, 6534, 547, 26037, 540, 3002, 543, 4411, 269, 634, 476, 1001, 271, 26678, 13832, 585, 4892, 11168, 6704, 811, 1216, 543, 824, 17811, 6954, 16098, 267, 2059, 609, 3170, 6954, 610, 1970, 19339, 5144, 543, 476, 1911, 2600, 4829, 23238, 267, 3079, 540, 17811, 1790, 17977, 2834, 7091, 553, 563, 294, 23230, 267, 5388, 543, 5613, 616, 1898, 547, 3478, 519, 8324, 267, 6886, 267, 1950, 11950, 630, 560, 1105, 543, 8192, 6775, 264, 543, 824, 5567, 596, 991, 547, 2844, 1434, 1072, 269, 2368, 540, 891, 5567, 949, 1256, 2569, 707, 1981, 540, 1978, 5686, 540, 2860, 269, 1809, 4966, 2161, 649, 10355, 3548, 2614, 540, 891, 3536, 269, 1677, 1118, 6927, 8338, 267, 649, 849, 3548, 1932, 1454, 540, 14432, 2010, 540, 1426, 267, 1519, 3170, 630, 663, 8501, 1070, 4006, 543, 6070, 563, 303, 3233, 6484, 666, 8915, 3294, 538, 1082, 2081, 269, 634, 811, 6654, 2589, 540, 513, 9422, 10638, 1331, 20585, 267, 3819, 610, 17766, 4552, 282, 2699, 267, 3819, 267, 12779, 610, 20585, 4064, 282, 22635, 11057, 267, 28221, 610, 7759, 3022, 18969, 282, 11702, 14779, 282, 22224, 267, 2699, 267, 29618, 17534, 282, 1166, 21294, 2960, 602, 3085, 1405, 12115, 3533, 282, 11926, 538, 707, 7953, 543, 3952, 282, 24906, 267, 4617, 6091, 282, 3965, 2530, 282, 543, 9854, 563, 763, 3037, 538, 2127, 609, 5266, 1970, 11811, 949, 538, 930, 2665, 2270, 606, 5393, 1164, 5834, 540, 6886, 267, 799, 568, 10630, 538, 519, 2371, 3395, 972, 269, 901, 729, 1134, 13006, 476, 3583, 1296, 3516, 538, 519, 1433, 8751, 6563, 781, 5253, 269, 476, 634, 19239, 626, 6723, 654, 269, 1261, 731, 1336, 602, 519, 3037, 538, 3371, 5112, 267, 7147, 267, 729, 24215, 3638, 538, 6886, 269, 3371, 5112, 2968, 1634, 607, 519, 834, 26165, 1510, 513, 5694, 5995, 257, 1310, 513, 11356, 2376, 689, 5130, 476, 3066, 267, 476, 3707, 273, 267, 4080, 602, 3371, 5112, 1185, 519, 9803, 11841, 540, 5694, 9178, 540, 1022, 2749, 538, 519, 2136, 2276, 269, 476, 1261, 731, 1336, 602, 1004, 538, 3371, 5112, 1185, 24215, 1906, 5959, 19659, 543, 849, 602, 519, 3037, 12725, 729, 2523, 3638, 538, 6886, 269, 1261, 15091, 602, 519, 2551, 538, 519, 10315, 17696, 796, 15263, 539, 1426, 543, 729, 6704, 6151, 5144, 269, 3097, 317, 590, 4593, 990, 1157, 26712, 267, 645, 1551, 5424, 25526, 267, 674, 4958, 1206, 7537, 267, 18961, 808, 295, 267, 700, 747, 1084, 7322, 589, 295, 267, 8779, 10314, 681, 289, 267, 918, 5142, 7232, 750, 2023, 6751, 267, 15243, 5459, 25526, 267, 1621, 2401, 15406, 267, 27988, 32518, 267, 2561, 601, 700, 297, 267, 20787, 3530, 4115, 667, 630, 1001, 278, 1040, 834, 29604, 268, 274, 12443, 12584, 18260, 15310, 1399, 18729, 630, 293, 880, 13813, 264, 26929, 566, 543, 519, 10644, 540, 11916, 31292, 8376, 281, 589, 3163, 27545, 3245, 519, 1977, 9839, 5948, 2668, 19449, 27218, 269, 476, 13670, 630, 1428, 2567, 552, 279, 6858, 1700, 324, 6434, 275, 269, 8222, 281, 1015, 269, 14138, 272, 270, 5746, 305, 269, 1822, 1822, 1822, 1822, 271, 4366, 273, 269, 20163, 476, 28434, 279, 3445, 7597, 563, 288, 8192, 7110, 568, 513, 14475, 1587, 5497, 547, 7110, 519, 2732, 950, 3144, 676, 5023, 607, 513, 10788, 267, 23555, 267, 16979, 267, 610, 5277, 269, 589, 7110, 666, 1683, 5567, 2901, 13939, 689, 1426, 2959, 610, 10991, 267, 14350, 610, 538, 4999, 267, 538, 1931, 547, 2333, 519, 7274, 540, 741, 4616, 269, 634, 1362, 540, 8770, 7135, 2882, 8324, 267, 6886, 267, 6775, 267, 9761, 7408, 543, 11254, 7408, 269, 26678, 9360, 666, 849, 2270, 6878, 602, 723, 711, 1044, 9672, 607, 1373, 1898, 547, 1272, 267, 855, 616, 30630, 607, 2348, 513, 6225, 6211, 1198, 267, 971, 607, 2030, 23416, 610, 25168, 1156, 11169, 269, 12292, 666, 849, 581, 513, 2707, 540, 7110, 5820, 267, 607, 585, 1383, 20018, 689, 17944, 610, 3165, 269, 1452, 616, 849, 4421, 14350, 543, 538, 4999, 267, 543, 949, 581, 5916, 609, 8770, 5820, 269, 769, 519, 2136, 2276, 543, 4516, 267, 8192, 9360, 616, 2808, 513, 15410, 540, 3536, 267, 543, 616, 14931, 9935, 269, 634, 3864, 8189, 814, 849, 3964, 11745, 1242, 3652, 547, 948, 1202, 675, 602, 1426, 9360, 616, 2922, 543, 5265, 13042, 269, 7324, 824, 2477, 267, 519, 4214, 540, 8192, 9360, 949, 4268, 607, 5061, 610, 824, 5049, 540, 5820, 1031, 538, 7110, 2472, 563, 288, 1353, 540, 8192, 9360, 4421, 1063, 476, 1220, 278, 543, 476, 1001, 277, 4857, 476, 6507, 277, 602, 8659, 796, 4289, 539, 14453, 5061, 267, 1082, 540, 799, 1223, 2170, 609, 824, 6527, 543, 1291, 547, 30674, 269, 476, 10436, 260, 540, 519, 13277, 614, 730, 9360, 941, 30630, 585, 2597, 2530, 543, 4638, 2773, 267, 609, 1082, 5627, 13310, 16245, 850, 14524, 6646, 269, 26298, 2679, 9360, 941, 13572, 609, 606, 20326, 28335, 267, 543, 2789, 2472, 8659, 31520, 543, 4550, 7290, 26952, 269, 6736, 891, 4681, 267, 7864, 982, 3368, 540, 519, 13277, 614, 730, 9360, 941, 27416, 563, 2026, 2021, 267, 1082, 540, 721, 616, 12155, 547, 10714, 532, 938, 1378, 8192, 2115, 269, 1411, 949, 1745, 596, 2461, 1932, 11112, 547, 3548, 1318, 267, 1031, 547, 8380, 519, 2115, 540, 707, 1920, 1101, 267, 610, 3843, 547, 15666, 547, 606, 3665, 2732, 602, 3762, 596, 2110, 593, 4105, 5567, 543, 4743, 1835, 1678, 344, 267, 17237, 267, 543, 1970, 593, 1648, 269, 6468, 779, 1808, 2115, 616, 1419, 20495, 676, 8192, 1382, 267, 1932, 269, 5525, 4043, 547, 7048, 593, 5256, 5396, 4171, 9449, 2157, 616, 811, 7123, 543, 22150, 267, 3976, 3006, 1818, 519, 2164, 13061, 610, 1256, 22801, 547, 2021, 779, 2115, 269, 2353, 713, 666, 1039, 909, 547, 3978, 2110, 17517, 538, 707, 3232, 6484, 563, 1607, 1353, 31205, 3576, 1747, 538, 519, 6413, 22538, 2678, 807, 543, 5280, 5215, 540, 1004, 1020, 2635, 4189, 6208, 1510, 4657, 741, 786, 12741, 610, 8404, 538, 519, 13581, 652, 1259, 269, 18897, 526, 833, 543, 1200, 2319, 8246, 513, 1523, 1634, 607, 968, 577, 4069, 6189, 1848, 14893, 6189, 568, 1175, 513, 16681, 2262, 585, 4657, 519, 1259, 519, 1426, 543, 10425, 616, 10268, 267, 855, 267, 607, 621, 7140, 856, 267, 621, 2306, 513, 2462, 3017, 563, 10111, 8510, 6233, 1058, 1683, 476, 3393, 260, 1700, 4792, 260, 540, 707, 3232, 8477, 269, 4107, 540, 1346, 8477, 1058, 2097, 689, 519, 1950, 11950, 538, 1164, 1922, 9200, 543, 796, 10915, 1441, 3536, 267, 971, 607, 4839, 23611, 543, 824, 2898, 3766, 1778, 2472, 267, 6960, 7573, 267, 10365, 543, 824, 22053, 267, 543, 1082, 5613, 543, 5388, 269, 1452, 11950, 616, 2007, 6479, 543, 12842, 7444, 267, 865, 789, 6318, 519, 1973, 4006, 7930, 543, 1810, 1405, 9594, 513, 1804, 5305, 540, 7378, 269, 4658, 945, 3548, 6266, 540, 891, 3536, 723, 2362, 31613, 9497, 16591, 8442, 8501, 2157, 543, 513, 2539, 1981, 540, 8377, 267, 3987, 267, 543, 2295, 2068, 269, 589, 1434, 2179, 540, 19729, 6775, 538, 519, 2732, 24506, 25928, 9497, 21112, 8442, 8501, 267, 543, 1164, 1922, 9200, 11326, 2569, 519, 1981, 540, 15499, 4713, 8151, 689, 19228, 543, 31818, 10306, 2670, 547, 20178, 6950, 269, 2368, 2090, 723, 3254, 602, 6775, 949, 948, 2569, 519, 1981, 540, 3935, 2860, 269, 9093, 991, 811, 6775, 982, 2021, 281, 476, 4343, 5288, 269, 476, 1839, 10101, 513, 1554, 1354, 519, 2085, 540, 476, 2004, 543, 476, 1789, 5288, 269, 476, 2641, 10101, 513, 1554, 27502, 563, 16352, 513, 1521, 1631, 543, 1287, 568, 513, 1390, 1259, 547, 1118, 2386, 707, 2635, 4189, 1544, 13978, 593, 3950, 269, 3767, 267, 596, 1522, 581, 3206, 267, 875, 666, 4189, 513, 4062, 540, 14735, 610, 513, 1810, 583, 948, 1250, 4189, 6208, 286, 1635, 711, 1818, 4376, 4625, 1055, 7182, 267, 10805, 2732, 527, 2103, 2491, 602, 596, 2811, 1447, 2693, 547, 2842, 909, 4743, 27226, 30147, 1797, 596, 2811, 849, 1447, 2693, 547, 1265, 3054, 538, 513, 28675, 3887, 908, 12558, 563, 2791, 4312, 4862, 547, 1118, 14254, 519, 7887, 7594, 540, 707, 1554, 267, 855, 596, 949, 711, 581, 602, 17237, 950, 596, 12687, 909, 269, 769, 1249, 267, 834, 20365, 7887, 7594, 1058, 581, 1472, 29869, 950, 707, 12536, 568, 693, 922, 8445, 543, 596, 666, 3049, 707, 1560, 950, 621, 2965, 2115, 4492, 2437, 3081, 3220, 269, 26100, 2006, 269, 2334, 1797, 596, 1810, 1405, 991, 513, 5458, 7594, 693, 12129, 1152, 547, 1694, 543, 6952, 909, 593, 6936, 23618, 633, 543, 1287, 979, 547, 5127, 269, 1809, 834, 15927, 257, 3085, 1405, 1611, 3276, 3455, 543, 26650, 2462, 269, 2311, 12899, 267, 11168, 3940, 543, 16719, 267, 899, 513, 2295, 344, 12826, 540, 21378, 559, 17339, 543, 25989, 19997, 269, 6271, 22429, 281, 1310, 12129, 596, 4465, 1405, 723, 519, 4743, 596, 991, 547, 796, 31728, 707, 27890, 563, 763, 2136, 2276, 5253, 543, 10684, 10029, 267, 8433, 540, 28018, 687, 267, 28597, 267, 2037, 7593, 267, 543, 22518, 15766, 725, 267, 21697, 7110, 2472, 585, 6111, 538, 10229, 543, 21458, 267, 543, 950, 4466, 19374, 267, 29808, 9755, 540, 31587 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1482, 10971, 610, 2696, 286, 5047, 972, 729, 513, 1134, 8153, 23278, 1774, 689, 519, 19509, 337, 560, 1974, 540, 3540, 2112, 538, 519, 6243, 538, 799, 513, 17199, 19509, 724, 1154, 593, 835, 2427, 4362, 602, 646, 1185, 7166, 1010, 1378, 7015, 19509, 724, 1154, 585, 519, 11685, 267, 543, 538, 1010, 16236, 8149, 11980, 1107, 7551, 12013, 4328, 519, 10782, 1761, 4539, 540, 3540, 2112, 267, 607, 1134, 607, 3090, 2358, 519, 1259, 621, 1098, 326, 5962, 2067, 1514, 7554, 269, 589, 2147, 18941, 729, 6829, 676, 19332, 950, 1175, 4328, 1010, 3375, 538, 7460, 547, 5182, 557, 10546, 4229, 538, 8050, 883, 21704, 281, 646, 729, 26997, 547, 1294, 8284, 2275, 527, 714, 839, 647, 23807, 478, 518, 11991, 1973, 338, 1117, 630, 25519, 525, 269, 645, 269, 595, 643, 269, 1547, 1040, 19452, 267, 519, 14787, 18706, 3780, 667, 1470, 16545, 519, 1079, 5011, 693, 1912, 1513, 31647, 630, 7460, 264, 607, 26997, 547, 4497, 281, 2048, 306, 1440, 2426, 689, 519, 1482, 2197, 543, 689, 519, 1482, 5873, 628, 267, 609, 3592, 9838, 9604, 543, 2147, 5250, 267, 1142, 2427, 973, 334, 6150, 689, 4098, 519, 6370, 267, 973, 334, 6150, 689, 11318, 4896, 685, 630, 12175, 1403, 267, 1287, 267, 3540, 2112, 729, 538, 930, 2631, 2938, 607, 796, 11499, 610, 4831, 10784, 30698, 267, 693, 2547, 538, 713, 1974, 2676, 299, 643, 344, 3131, 269, 2073, 4406, 269, 7665, 269, 10371, 267, 570, 659, 269, 2876, 269, 476, 1421, 21081, 3780, 13397, 15687, 639, 476, 1421, 744, 4592, 269, 10371, 1700, 269, 634, 2796, 729, 19509, 724, 1154, 538, 7507, 538, 7460, 1063, 519, 4229, 540, 28037, 3534, 543, 25048, 701, 3780, 18135, 2692, 269, 595, 325, 269, 18706, 269, 667, 1470, 1547, 593, 519, 2034, 6370, 540, 11511, 3000, 320, 20465, 1141, 646, 6799, 7980, 540, 519, 1079, 5011, 3221, 532, 2066, 519, 3515, 1282, 519, 3781, 543, 1256, 4687, 1426, 563, 269, 634, 667, 10308, 5733, 540, 6406, 2782, 454, 25585, 941, 4936, 7980, 20866, 5423, 547, 4497, 538, 621, 14578, 2429, 4936, 1686, 286, 9717, 602, 621, 729, 606, 13778, 7613, 693, 713, 3942, 540, 4936, 1686, 267, 621, 568, 5667, 584, 19828, 602, 3735, 17044, 3401, 5433, 519, 991, 547, 17854, 519, 3375, 547, 7832, 593, 3540, 2112, 547, 741, 10136, 269, 769, 7460, 267, 1247, 10834, 1010, 19385, 766, 547, 18992, 547, 3196, 267, 590, 1638, 320, 3746, 2213, 519, 5208, 12219, 1996, 1010, 1268, 267, 607, 931, 592, 267, 676, 1010, 14763, 267, 631, 23581, 543, 590, 592, 30679, 3780, 267, 609, 519, 29943, 602, 519, 8545, 941, 3423, 908, 13338, 3741, 269, 12344, 1256, 811, 11932, 646, 14578, 13994, 4327, 1018, 729, 547, 1831, 606, 1271, 31831, 2394, 519, 1439, 540, 519, 6243, 1107, 1010, 6161, 547, 1863, 519, 1533, 689, 1119, 7847, 630, 7343, 269, 645, 269, 595, 643, 907, 1040, 769, 513, 2147, 18916, 267, 19332, 1175, 328, 16667, 539, 1010, 3375, 547, 28117, 7977, 538, 7460, 607, 16109, 689, 1010, 7287, 547, 2048, 6135, 648, 519, 4936, 1004, 547, 11309, 553, 689, 741, 15746, 676, 513, 1249, 542, 540, 519, 1906, 685, 630, 289, 269, 595, 643, 269, 10371, 1040, 3502, 1543, 609, 29610, 268, 6247, 6627, 1175, 328, 16667, 322, 725, 267, 2705, 267, 590, 1638, 320, 8179, 547, 7794, 1010, 1688, 538, 7460, 676, 519, 2417, 2994, 540, 19101, 547, 723, 1185, 513, 5326, 630, 25519, 14008, 849, 4080, 513, 5075, 693, 519, 11676, 6625, 281, 1294, 8791, 1547, 264, 543, 676, 22412, 908, 513, 15555, 712, 602, 952, 631, 23581, 729, 4847, 547, 1491, 590, 1638, 320, 779, 4108, 4971, 1996, 631, 603, 5090, 919, 267, 646, 1131, 21821, 824, 10136, 543, 865, 14145, 633, 590, 1638, 320, 779, 2367, 540, 519, 3407, 18849, 344, 4397, 689, 519, 5859, 269, 1452, 1585, 9270, 941, 711, 2614, 547, 16578, 590, 1638, 320, 779, 522, 23807, 481, 6203, 547, 1489, 1864, 538, 1018, 789, 9833, 607, 606, 4323, 593, 741, 22657, 1107, 513, 10213, 16315, 540, 1175, 875, 4090, 748, 513, 1900, 713, 729, 1107, 855, 789, 941, 647, 23807, 481, 2615, 547, 22321, 519, 7584, 7146, 268, 16667, 548, 267, 945, 8399, 539, 547, 15292, 593, 7507, 9020, 16484, 269, 1306, 814, 1419, 1044, 7074, 267, 538, 2073, 676, 4334, 267, 782, 855, 835, 540, 19332, 779, 522, 23807, 481, 6203, 20483, 1864, 267, 31552, 602, 8456, 547, 3540, 2112, 1185, 13175, 547, 1689, 538, 519, 18060, 532, 5756, 269, 2372, 14515, 268, 6247, 6627, 1175, 328, 16667, 322, 725, 4797, 547, 581, 1271, 538, 519, 3540, 10617, 1739, 19332, 779, 2669, 267, 711, 2547, 1317, 1252, 1023, 1185, 1831, 3222, 540, 519, 6526, 1006, 540, 10121, 2906, 543, 519, 1761, 585, 9390, 542, 630, 22396, 269, 2561, 269, 645, 269, 595, 643, 269, 1547, 1040, 4438, 1107, 267, 4239, 822, 1014, 543, 1010, 16167, 1175, 328, 16667, 539, 741, 4108, 2962, 1996, 4165, 3415, 676, 556, 3438, 908, 519, 3409, 547, 581, 21108, 519, 11309, 553, 540, 519, 1533, 1996, 15746, 1107, 606, 4661, 13604, 26832, 2213, 538, 519, 6679, 3515, 540, 31217, 685, 1763, 30123, 2801, 630, 12175, 769, 1010, 598, 23807, 480, 1112, 609, 4165, 3415, 538, 519, 2663, 521, 267, 4239, 822, 1014, 2919, 2417, 7440, 267, 1519, 519, 3532, 14336, 566, 602, 4165, 3415, 5497, 547, 882, 11229, 519, 3854, 540, 519, 10504, 689, 7507, 547, 28641, 269, 13966, 2515, 891, 20748, 15314, 519, 15712, 585, 1379, 1739, 19332, 779, 2669, 1500, 3573, 946, 540, 454, 288, 1066, 320, 2433, 4586, 11675, 16591, 2433, 1107, 563, 12041, 640, 543, 1325, 5586, 10662, 454, 335, 668, 2478, 540, 8101, 6666, 1810, 2510, 547, 2226, 14017, 540, 10136, 547, 741, 2014, 267, 1247, 513, 3119, 16578, 618, 585, 7980, 945, 1185, 6039, 896, 19332, 729, 741, 6161, 547, 2327, 602, 519, 2244, 28286, 906, 789, 1185, 4607, 689, 19332, 941, 711, 2847, 12097, 269, 634, 19175, 540, 18849, 344, 4797, 547, 581, 606, 24539, 538, 519, 3540, 2112, 540, 1107, 267, 855, 849, 1271, 729, 519, 24575, 540, 519, 11685, 607, 1875, 305, 30689, 269, 769, 519, 3068, 540, 519, 23554, 749, 1014, 12289, 540, 7187, 7977, 267, 519, 17169, 744, 628, 334, 4843, 23554, 749, 3780, 685, 4229, 607, 16030, 16586, 543, 5065, 11031, 689, 717, 4954, 543, 519, 10910, 710, 20281, 1107, 543, 8197, 1282, 519, 26362, 540, 1773, 8809, 807, 267, 744, 628, 334, 779, 10136, 616, 1767, 547, 723, 3541, 3660, 519, 23554, 749, 1014, 4229, 607, 30707, 543, 30659, 267, 1247, 519, 8545, 616, 4843, 607, 16042, 7977, 607, 1498, 621, 729, 513, 4914, 2244, 630, 307, 659, 269, 2876, 269, 476, 1421, 476, 1421, 1547, 1040, 570, 659, 7978, 685, 5339, 3853, 1100, 8969, 5129, 513, 851, 538, 519, 1646, 540, 713, 6249, 267, 855, 621, 568, 606, 7357, 26363, 835, 585, 3401, 547, 723, 3746, 2213, 538, 519, 2796, 540, 519, 4657, 3270, 540, 19684, 547, 519, 4936, 11439, 4229, 269, 4438, 519, 3540, 10617, 540, 519, 17623, 6243, 519, 1850, 687, 941, 1869, 6537, 689, 1369, 7977, 267, 6466, 519, 6981, 540, 32228, 2103, 8593, 13497, 1282, 519, 19509, 337, 560, 2540, 267, 8719, 676, 3395, 2338, 540, 21621, 338, 267, 2523, 689, 519, 811, 15672, 4525, 540, 519, 10504, 630, 22396, 269, 8791, 1547, 1040, 1452, 21621, 338, 3357, 689, 513, 1454, 811, 3309, 2039, 540, 6803, 543, 2686, 10080, 267, 543, 2094, 1850, 687, 22157, 547, 15313, 689, 741, 1327, 1275, 267, 621, 786, 723, 1044, 4443, 585, 1850, 687, 689, 835, 851, 540, 519, 10504, 1282, 519, 10988, 760, 622, 547, 2543, 1346, 689, 824, 2694, 607, 30707, 269, 1677, 13712, 835, 1134, 8153, 1383, 689, 519, 3540, 2112, 540, 1107, 267, 2509, 519, 1439, 540, 519, 3781, 17489, 2034, 6370, 540, 11511, 3000, 320, 519, 12059, 6181, 542, 729, 4080, 607, 28551, 519, 8375, 3141, 609, 1750, 619, 267, 556, 23807, 480, 624, 532, 741, 32618, 6728, 532, 538, 16850, 543, 16912, 539, 10073, 540, 930, 4990, 540, 3859, 10847, 630, 307, 659, 269, 2876, 269, 1547, 1040, 2353, 891, 1850, 542, 776, 7980, 941, 540, 1576, 4936, 4961, 267, 2436, 540, 1279, 7555, 610, 811, 2487, 9886, 2390, 21821, 618, 267, 855, 1082, 1131, 2760, 723, 1305, 4064, 593, 519, 2749, 540, 7507, 267, 543, 519, 4657, 543, 2479, 811, 1950, 1118, 5346, 540, 519, 1850, 687, 2982, 602, 4936, 3961, 3294, 729, 5051, 1019, 23807, 481, 322, 738, 547, 632, 16667, 928, 269, 1677, 891, 9270, 1590, 581, 3773, 454, 7343, 269, 645, 269, 595, 643, 269, 476, 1421, 2073, 12832, 269, 12456, 269, 674, 267, 1547, 4329, 4901, 540, 713, 543, 824, 2152, 538, 25362, 660, 2433, 1107, 267, 3223, 653, 773, 2433, 1107, 630, 10175, 9184, 1637, 540, 6666, 1810, 2510, 689, 1107, 7460, 1040, 12891, 2433, 1107, 269, 1703, 949, 581, 513, 20726, 540, 971, 513, 4640, 2907, 693, 960, 538, 7460, 538, 519, 15555, 712, 602, 19332, 779, 7952, 6140, 16922, 3046, 321, 12579, 630, 290, 817, 269, 667, 1470, 10371, 1070, 1247, 4239, 822, 1014, 3746, 2213, 4165, 3415, 779, 7681, 609, 9813, 5527, 998, 7581, 641, 21358, 269, 595, 325, 269, 12891, 2433, 1107, 267, 1107, 269, 595, 325, 269, 3223, 653, 773, 630, 15367, 267, 1851, 824, 3688, 267, 4967, 513, 2034, 10601, 13423, 7469, 689, 13985, 850, 807, 799, 24716, 3028, 538, 519, 9299, 564, 20187, 9856, 538, 7507, 609, 3028, 538, 513, 2048, 8663, 321, 4115, 1850, 542, 685, 1496, 6579, 306, 9948, 1916, 269, 634, 667, 10308, 5733, 540, 6406, 2782, 454, 534, 1278, 3815, 799, 1019, 23807, 478, 5166, 7007, 519, 10988, 760, 622, 689, 519, 6243, 1107, 519, 1909, 540, 18559, 23158, 538, 519, 11439, 4229, 269, 4014, 4559, 28330, 547, 18559, 23158, 8329, 547, 519, 20679, 540, 519, 19509, 337, 560, 2540, 7460, 267, 789, 1152, 2968, 513, 1129, 328, 16667, 322, 656, 5057, 689, 31217, 27477, 269, 4595, 891, 4559, 941, 25945, 689, 1875, 2275, 527, 714, 839, 267, 741, 4527, 538, 519, 20679, 540, 1107, 1590, 723, 5280, 547, 12927, 519, 2631, 602, 11685, 4229, 941, 4914, 269, 2353, 713, 5310, 2337, 547, 2491, 1946, 7980, 3100, 547, 723, 1185, 7864, 31681, 827, 3540, 2112, 538, 1107, 3379, 609, 519, 17044, 1974, 269, 570, 659, 7978, 568, 835, 540, 519, 2959, 585, 519, 23278, 1774, 11855, 1657, 827, 513, 17199, 7938, 9231, 569, 11318, 1010, 7015, 1282, 513, 536, 719, 540, 3540, 2112, 538, 7460, 267, 543, 1287, 22867, 11980, 950, 646, 1483, 2213, 1018, 646, 1185, 2944, 269, 634, 14787, 4016, 547, 713, 1650, 547, 1683, 513, 5837, 4831, 4812, 547, 606, 12558, 689, 950, 513, 17199, 10645, 547, 723, 7166, 1010, 7015, 538, 513, 2487, 6370, 543, 1287, 18796, 513, 8007, 689, 1010, 2489, 630, 9303, 269, 1547, 1040, 1261, 849, 4016, 547, 1776, 12558, 689, 519, 1482, 942, 950, 513, 5067, 7938, 9231, 569, 7166, 1010, 4651, 269, 769, 713, 8545, 2013, 267, 519, 5067, 729, 5918, 569, 4050, 527, 550, 543, 6857, 540, 519, 16663, 540, 552, 23807, 478, 624, 1947, 1373, 513, 1612, 878, 728, 267, 20872, 7404, 10136, 547, 2048, 2017, 572, 713, 2267, 749, 652, 540, 782, 10617, 10200, 1717, 267, 570, 659, 7978, 1287, 5170, 547, 7747, 602, 2048, 10472, 1705, 711, 3247, 873, 11318, 543, 3775, 6883, 14077, 267, 737, 1231, 5443, 543, 14552, 281, 789, 1767, 547, 1142, 824, 602, 513, 6760, 1185, 1044, 2944, 1107, 543, 538, 519, 1482, 7362, 789, 1705, 621, 2933, 685, 630, 9303, 269, 1547, 1040, 4634, 1310, 1813, 27108, 568, 1500, 585, 570, 659, 924, 534, 5837, 2358, 267, 891, 15102, 543, 519, 2621, 540, 1107, 17538, 7864, 4018, 916, 827, 2502, 538, 3540, 2112, 593, 519, 851, 540, 7980, 269, 2311, 519, 1482, 942, 267, 20029, 574, 3780, 590, 1197, 639, 568, 1869, 4843, 607, 13267, 547, 3741, 540, 13338, 26117, 950, 7479, 8172, 1010, 623, 2335, 20897, 10136, 547, 1489, 1010, 19915, 585, 1379, 267, 19163, 602, 623, 1068, 514, 1314, 1185, 1044, 24407, 569, 7166, 676, 519, 9299, 564, 528, 2103, 538, 7507, 543, 1010, 2669, 2877, 547, 581, 1285, 1263, 539, 269, 1261, 849, 17814, 519, 26219, 4229, 5885, 623, 525, 322, 3317, 3780, 20997, 607, 18604, 676, 4598, 547, 9456, 17195, 543, 711, 3020, 7980, 610, 267, 676, 29943, 267, 3020, 14564, 630, 15463, 617, 1014, 1547, 264, 1107, 543, 972, 568, 849, 513, 2009, 16079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2339, 540, 3593, 1995, 855, 849, 513, 3656, 543, 5683, 17185, 269, 3509, 2477, 723, 6042, 543, 4808, 547, 2327, 602, 7270, 616, 3015, 547, 782, 2043, 563, 293, 19691, 547, 16783, 609, 891, 6042, 666, 1267, 538, 3656, 4539, 543, 8088, 1049, 3441, 269, 1635, 20170, 547, 10333, 4808, 267, 3906, 6542, 741, 7029, 547, 1514, 5539, 267, 4763, 267, 543, 10014, 563, 16032, 13756, 585, 20074, 29456, 17972, 593, 15750, 2572, 454, 2414, 1711, 513, 22992, 8537, 772, 311, 267, 3896, 9858, 543, 9367, 1058, 1832, 538, 2247, 519, 1739, 1655, 2853, 912, 268, 2422, 3617, 16144, 16776, 630, 295, 272, 267, 670, 273, 267, 3092, 4700, 547, 2497, 519, 1543, 25401, 563, 268, 3629, 10855, 5621, 1257, 585, 2592, 543, 2327, 789, 616, 4143, 547, 519, 4478, 1543, 563, 268, 3550, 13691, 10333, 585, 782, 7317, 2609, 593, 519, 3896, 563, 268, 3417, 3061, 687, 267, 31286, 267, 610, 1129, 1893, 7664, 585, 8301, 543, 3381, 1543, 563, 268, 2422, 2681, 4334, 602, 10742, 10333, 4441, 547, 5512, 1732, 31824, 563, 268, 3629, 2312, 543, 13801, 5528, 585, 1106, 11378, 543, 5470, 6835, 563, 268, 4530, 519, 3896, 5781, 1210, 4217, 633, 4066, 547, 2697, 543, 4368, 10333, 2152, 563, 3528, 8508, 891, 2853, 267, 7270, 666, 1831, 811, 8537, 267, 22205, 267, 543, 3593, 7888, 563, 1103, 2424, 3414, 29456, 454, 17730, 606, 8537, 772, 311, 998, 519, 25465, 540, 10333, 2934, 568, 711, 1175, 513, 5837, 5539, 855, 849, 513, 7580, 5413, 585, 3896, 5411, 269, 15750, 2572, 26724, 10333, 666, 3986, 32636, 267, 4228, 741, 3914, 267, 16783, 609, 3656, 13800, 267, 543, 6542, 741, 7029, 547, 13784, 543, 4763, 269, 16871, 10333, 2934, 568, 513, 3094, 2914, 514, 3510, 602, 8992, 7862, 543, 13784, 1247, 556, 12686, 519, 2640, 540, 606, 9450, 3593, 3490, 563, 4263, 645, 872, 5414, 26317, 267, 649, 917, 875, 1271, 621, 568, 547, 2327, 1169, 3593, 814, 513, 2318, 1995, 609, 707, 3896, 269, 3776, 3896, 4966, 960, 2182, 547, 11126, 1169, 3896, 547, 1683, 519, 1655, 3593, 7888, 1995, 269, 2913, 779, 960, 1927, 547, 1711, 513, 1158, 1141, 3025, 7959, 3769, 563, 312, 21788, 25723, 7034, 25492, 15562, 5495, 17162, 18688, 6789, 24321, 2969, 6789, 22400, 29642, 4959, 454, 302, 330, 267, 596, 1832, 6217, 602, 707, 3896, 568, 519, 4395, 7450, 540, 707, 1870, 855, 596, 1175, 1810, 1406, 1294, 621, 269, 4107, 540, 707, 1870, 2501, 689, 3277, 23552, 543, 707, 3896, 568, 1175, 972, 269, 901, 7182, 596, 693, 1152, 1373, 2111, 547, 3914, 519, 1004, 596, 666, 3054, 269, 2201, 1283, 540, 519, 1249, 602, 950, 519, 1004, 596, 2743, 1294, 707, 3135, 267, 621, 3947, 606, 12705, 540, 1018, 621, 786, 581, 899, 2324, 609, 596, 563, 2791, 1058, 581, 8746, 602, 707, 3135, 568, 909, 547, 4266, 267, 3406, 762, 593, 5616, 543, 6645, 519, 1650, 607, 1134, 607, 596, 798, 563, 763, 1966, 568, 602, 707, 683, 15343, 342, 3085, 1406, 723, 2614, 1995, 267, 596, 723, 547, 4383, 519, 28479, 22083, 543, 596, 1810, 1406, 1616, 547, 2628, 585, 606, 7199, 3135, 2699, 30472, 563, 763, 5168, 568, 596, 2461, 13110, 540, 2348, 513, 3896, 602, 9397, 543, 568, 711, 10451, 1870, 563, 31010, 707, 3896, 1058, 581, 2653, 269, 3767, 621, 666, 581, 269, 28651, 856, 547, 1451, 811, 827, 875, 938, 2319, 666, 948, 596, 2221, 256, 0, 4692, 17268, 3204, 992, 4256, 667, 1168, 1849, 9155, 888, 291, 1168, 32356, 616, 1419, 513, 1888, 540, 4901, 1851, 2915, 5411, 267, 2523, 950, 621, 2501, 547, 741, 1036, 9512, 269, 3509, 1004, 4898, 952, 5243, 723, 519, 2702, 547, 1036, 992, 741, 632, 342, 32356, 2899, 789, 723, 1044, 4503, 610, 13676, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 7399, 540, 632, 342, 804, 1177, 20344, 538, 5243, 543, 4983, 519, 2188, 602, 949, 1860, 713, 1184, 269, 3958, 267, 649, 786, 1865, 519, 1761, 8374, 602, 666, 8451, 689, 632, 342, 804, 1177, 1036, 9512, 543, 1683, 4388, 585, 5883, 543, 7303, 7063, 563, 8139, 519, 22845, 540, 667, 1168, 1849, 9155, 454, 6524, 18167, 883, 519, 1888, 540, 1036, 9512, 267, 621, 568, 2629, 547, 1174, 519, 14169, 540, 632, 342, 32356, 269, 667, 1168, 32356, 616, 9247, 519, 6697, 540, 555, 29304, 585, 5243, 269, 1358, 616, 4092, 2362, 909, 593, 519, 1850, 267, 3335, 593, 519, 6418, 2427, 540, 519, 4395, 17873, 267, 543, 616, 7923, 547, 519, 2915, 779, 1850, 676, 513, 1507, 5642, 543, 513, 3126, 540, 28844, 543, 28587, 269, 2755, 1034, 5243, 723, 632, 342, 32356, 593, 741, 4395, 7953, 267, 930, 14981, 949, 849, 723, 873, 593, 741, 12042, 7953, 563, 763, 20828, 543, 9577, 540, 667, 1168, 1849, 9155, 538, 17268, 454, 763, 3483, 543, 1599, 540, 632, 342, 32356, 538, 5243, 723, 1044, 513, 1641, 540, 7521, 1851, 4966, 269, 2368, 2303, 602, 632, 342, 32356, 4196, 1100, 6198, 3483, 543, 616, 8806, 24790, 540, 4720, 269, 1717, 267, 1866, 3494, 602, 632, 342, 32356, 666, 1683, 5243, 609, 3606, 6617, 1282, 2238, 971, 607, 16246, 610, 7432, 269, 667, 1168, 32356, 666, 849, 581, 1031, 676, 5243, 547, 17945, 3615, 610, 607, 513, 1797, 540, 8878, 269, 11048, 267, 621, 568, 1271, 547, 4063, 602, 711, 782, 5243, 946, 741, 632, 342, 32356, 538, 519, 1482, 1259, 267, 543, 519, 4644, 540, 891, 16289, 1137, 666, 4268, 1063, 14981, 563, 3963, 1684, 17268, 6884, 700, 846, 4256, 667, 1168, 1849, 9155, 888, 291, 9233, 666, 6336, 741, 632, 342, 32356, 1813, 547, 513, 3099, 540, 4128, 269, 2290, 1455, 2014, 568, 8194, 610, 5945, 269, 17268, 602, 4497, 538, 2238, 971, 607, 4881, 998, 10053, 10664, 610, 17259, 936, 9465, 666, 6952, 741, 632, 342, 32356, 593, 3615, 267, 4929, 873, 547, 15237, 610, 13148, 1033, 778, 269, 3958, 267, 632, 342, 32356, 666, 581, 18417, 2879, 698, 3022, 1282, 25462, 5773, 610, 3232, 2238, 269, 769, 930, 2665, 267, 14830, 12579, 949, 4363, 632, 342, 804, 1177, 8851, 585, 1978, 14981, 267, 2356, 950, 789, 10460, 513, 1981, 540, 5945, 610, 952, 789, 616, 12155, 547, 3968, 610, 6553, 563, 26502, 18748, 532, 667, 1168, 1849, 1177, 3204, 9512, 538, 17268, 454, 763, 7872, 540, 632, 342, 804, 1177, 1036, 9512, 538, 5243, 666, 4096, 593, 1896, 2188, 269, 17616, 267, 519, 6708, 543, 10335, 540, 519, 5945, 610, 2530, 786, 1404, 513, 1909, 269, 1403, 519, 632, 342, 804, 1177, 814, 1044, 4625, 6569, 267, 1519, 519, 5642, 543, 4478, 8031, 267, 1036, 9512, 949, 711, 581, 2009, 269, 19627, 267, 519, 2085, 540, 519, 2915, 666, 3310, 27532, 5759, 269, 8479, 518, 5243, 3622, 723, 513, 2362, 4960, 540, 1036, 8089, 632, 342, 32356, 3379, 547, 4587, 5243, 269, 14936, 267, 519, 2949, 1072, 543, 11976, 540, 519, 2915, 666, 849, 2097, 883, 1404, 267, 607, 930, 5243, 949, 6923, 723, 513, 1732, 4390, 585, 5160, 20344, 563, 763, 25334, 2225, 540, 667, 1168, 1849, 1177, 3204, 523, 3130, 538, 17268, 454, 4407, 930, 2831, 267, 971, 607, 20641, 267, 666, 16956, 4733, 4503, 1560, 2694, 267, 519, 1482, 3112, 581, 1767, 585, 5243, 269, 667, 1168, 804, 1177, 20344, 538, 5243, 568, 2808, 4686, 269, 9521, 28499, 602, 666, 1036, 992, 741, 21217, 267, 5243, 798, 711, 4865, 519, 1482, 27532, 5759, 269, 4495, 513, 632, 342, 804, 1177, 814, 1044, 4503, 610, 6569, 267, 621, 568, 12691, 547, 1332, 1394, 4628, 269, 1717, 267, 538, 1978, 2665, 267, 9864, 1036, 9512, 949, 2049, 267, 3226, 952, 519, 5945, 568, 711, 4049, 543, 519, 2915, 568, 538, 1434, 1072, 563, 2750, 600, 1456, 3204, 17654, 2806, 1988, 538, 2052, 1149, 454, 7212, 5243, 3112, 1036, 992, 741, 632, 342, 32356, 267, 621, 568, 4502, 15663, 602, 789, 798, 4865, 930, 7415, 27532, 5759, 538, 824, 2694, 540, 741, 4703, 269, 1280, 1383, 267, 5243, 723, 519, 2702, 547, 12115, 16398, 5266, 3533, 267, 543, 741, 7633, 666, 16956, 4733, 547, 930, 6708, 269, 3958, 267, 930, 22578, 14981, 723, 1044, 1634, 547, 1036, 992, 4552, 538, 2127, 4299, 676, 2960, 2175, 610, 7063, 269, 1452, 27532, 5759, 4268, 1063, 2043, 543, 666, 581, 6766, 676, 1585, 2188, 971, 607, 2085, 267, 2949, 1072, 267, 543, 11976, 563, 4692, 27259, 27800, 11120, 4106, 622, 3204, 9512, 888, 1103, 1034, 2665, 267, 18915, 6304, 568, 711, 2556, 585, 632, 342, 804, 1177, 1036, 9512, 269, 1306, 5018, 4505, 267, 519, 1036, 9512, 540, 632, 342, 32356, 568, 4686, 267, 543, 621, 3335, 4386, 6923, 1510, 1022, 2564, 6304, 269, 1717, 267, 952, 513, 2915, 814, 4810, 1713, 8194, 610, 952, 972, 616, 8374, 971, 607, 3968, 610, 7050, 11702, 267, 621, 568, 1898, 547, 3343, 18915, 1416, 269, 769, 971, 2665, 267, 519, 16943, 786, 2708, 519, 3510, 543, 3313, 519, 1655, 1576, 540, 2962, 267, 799, 949, 1331, 10551, 6304, 610, 2564, 2126, 563, 31572, 667, 1168, 1849, 1177, 20070, 3753, 538, 17268, 454, 2691, 513, 2915, 2833, 513, 632, 342, 804, 1177, 5945, 267, 1697, 2359, 568, 2629, 547, 2061, 2417, 8374, 269, 1403, 519, 632, 342, 804, 1177, 568, 14324, 610, 13148, 1033, 3737, 267, 621, 568, 1271, 547, 1832, 519, 1858, 2973, 543, 4019, 513, 25062, 6512, 720, 547, 2061, 3968, 269, 898, 949, 849, 581, 2556, 547, 6615, 519, 2915, 779, 2534, 547, 1450, 585, 1697, 7067, 269, 8617, 5464, 540, 519, 5945, 568, 1898, 267, 543, 1022, 4191, 540, 3968, 610, 29083, 2783, 1058, 5401, 513, 3643, 547, 519, 16943, 563, 7093, 28124, 667, 1168, 1849, 1177, 20070, 3753, 543, 13809, 454, 4407, 632, 342, 804, 1177, 7063, 3112, 2141, 581, 15286, 267, 972, 616, 930, 3800, 2915, 5411, 666, 1491, 547, 7413, 519, 1981, 269, 17115, 16013, 2719, 519, 632, 342, 32356, 666, 948, 2061, 873, 689, 4742, 1932, 1279, 543, 20414, 593, 3615, 269, 3958, 267, 5329, 519, 2915, 779, 1604, 1863, 689, 10898, 267, 971, 607, 8325, 3615, 610, 11315, 7252, 267, 666, 2569, 519, 10171, 540, 7063, 269, 1280, 5243, 602, 7119, 538, 2238, 602, 949, 2322, 741, 632, 342, 32356, 693, 1981, 267, 971, 607, 22231, 2866, 610, 10122, 267, 8825, 3800, 971, 607, 25192, 610, 12109, 1186, 666, 581, 1031, 563, 22025, 1113, 1290, 4124, 540, 667, 1168, 1849, 1177, 3204, 9512, 454, 15987, 4686, 267, 632, 342, 804, 1177, 1036, 9512, 666, 5732, 1291, 547, 8374, 269, 1403, 519, 1036, 9512, 568, 18106, 610, 9402, 267, 519, 2915, 949, 1995, 9636, 610, 7411, 1210, 519, 4299, 18215, 269, 769, 930, 2665, 267, 519, 1036, 3497, 632, 342, 804, 1177, 949, 581, 811, 12155, 547, 5945, 610, 3968, 269, 3958, 267, 7050, 1036, 9512, 666, 1267, 538, 519, 632, 342, 804, 1177, 4742, 3824, 3497, 610, 8886, 908, 519, 4478, 8031, 269, 8617, 5464, 543, 5401, 18915, 3007, 666, 948, 2232, 1022, 8374, 602, 8451, 689, 632, 342, 804, 1177, 1036, 9512, 563, 6962, 281, 10289, 667, 1168, 1849, 1177, 3204, 523, 3130, 538, 17268, 454, 4407, 5243, 3112, 1036, 992, 741, 632, 342, 32356, 4628, 267, 9864, 1036, 9512, 949, 2049, 538, 1978, 2665, 269, 11790, 971, 607, 519, 10335, 540, 519, 5945, 267, 519, 2085, 543, 1072, 540, 519, 2915, 267, 543, 11976, 1404, 513, 1713, 1909, 538, 8159, 519, 7872, 540, 1036, 9512, 269, 27259, 6304, 568, 3622, 11991, 267, 607, 1034, 1036, 9512, 4523, 6923, 269, 1717, 267, 1697, 2359, 540, 632, 342, 804, 1177, 7063, 568, 2629, 547, 2061, 8374, 269, 13928, 5411, 1058, 1491, 23833, 3800, 547, 7413, 519, 1981, 540, 7063, 543, 5781, 6895, 1022, 1036, 9512, 585, 1761, 2152, 269, 6736, 519, 678, 10846, 540, 632, 342, 804, 1177, 1036, 9512, 267, 621, 3788, 606, 10578, 1888, 538, 519, 2361, 540, 22578, 7350, 269, 0, 763, 589, 7246, 729, 8547, 538, 851, 547, 3715, 519, 1101, 3084, 3009, 540, 2564, 7881, 269, 4653, 519, 8943, 568, 4922, 6444, 607, 22265, 7881, 5583, 585, 13500, 998, 922, 14362, 540, 6481, 15979, 14648, 538, 25709, 687, 540, 589, 7246, 779, 7027, 593, 19078, 543, 7225, 2772, 16457, 602, 2232, 519, 9687, 2591, 540, 4207, 2259, 563, 24357, 5974, 2972, 519, 1318, 547, 12167, 585, 1689, 538, 1876, 543, 3609, 267, 538, 519, 1857, 26750, 267, 543, 1369, 741, 5238, 282, 4284, 5974, 723, 606, 5683, 5539, 547, 3343, 1689, 950, 789, 3494, 519, 4170, 540, 1876, 610, 3609, 616, 14669 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5991, 18857, 12753, 630, 17928, 20745, 264, 540, 476, 1015, 547, 476, 736, 1232, 756, 1564, 630, 323, 289, 1916, 2080, 779, 2947, 4458, 6040, 13019, 340, 8026, 1010, 2296, 538, 513, 26776, 1404, 3336, 593, 938, 7817, 700, 532, 26619, 779, 2296, 1893, 1565, 630, 21822, 264, 3760, 630, 663, 938, 4633, 10509, 30650, 1864, 9985, 256, 2187, 279, 269, 1548, 779, 1924, 777, 26213, 779, 14499, 2203, 888, 303, 878, 532, 585, 938, 5639, 2599, 568, 3335, 1759, 593, 6165, 610, 8852, 269, 1284, 2709, 14850, 335, 5803, 31680, 14499, 585, 5561, 609, 3677, 12531, 540, 8852, 267, 543, 513, 6366, 5993, 13927, 585, 5561, 945, 616, 4130, 4336, 269, 2353, 14499, 2882, 1569, 547, 938, 17354, 12319, 1858, 543, 8743, 9643, 8081, 30325, 563, 7476, 538, 5905, 609, 721, 543, 649, 3580, 4137, 856, 519, 1655, 14499, 2203, 585, 596, 563, 5415, 2055, 585, 721, 286, 5192, 538, 5905, 454, 10387, 841, 721, 693, 4757, 11333, 2593, 267, 610, 5192, 29035, 609, 5639, 676, 10213, 721, 811, 827, 707, 1587, 269, 0, 13911, 540, 8249, 454, 763, 3483, 540, 713, 1353, 729, 547, 4217, 7544, 6735, 5171, 538, 1620, 519, 5383, 543, 11393, 540, 10283, 538, 7544, 19194, 269, 634, 11001, 11117, 519, 2833, 543, 11994, 540, 519, 7544, 1053, 267, 3237, 267, 543, 3610, 602, 851, 820, 538, 7544, 19194, 609, 519, 3804, 540, 26500, 519, 2318, 543, 2942, 2360, 7544, 19194, 723, 593, 873, 269, 634, 1382, 7405, 1031, 538, 713, 1353, 3769, 513, 2789, 31547, 5619, 267, 799, 729, 9916, 11050, 569, 267, 543, 513, 2110, 2626, 5619, 267, 799, 729, 9916, 12007, 569, 269, 7799, 14591, 547, 713, 1353, 3769, 519, 5619, 2055, 267, 519, 1297, 540, 5171, 267, 543, 519, 5619, 22097, 269, 634, 5619, 729, 2813, 676, 519, 11001, 538, 606, 3801, 547, 581, 28102, 855, 729, 711, 7318, 585, 14496, 610, 10727, 269, 901, 1353, 3769, 8938, 32732, 5171, 538, 519, 1101, 5619, 543, 8938, 538, 519, 2034, 269, 4107, 5171, 941, 31235, 609, 519, 11001, 1354, 10283, 538, 519, 1353, 267, 799, 949, 723, 12012, 6114, 267, 1256, 1498, 519, 5619, 729, 6192, 26687, 3585, 269, 634, 3908, 16045, 3490, 949, 723, 849, 2813, 513, 5619, 15295, 602, 26218, 4763, 269, 2311, 519, 3932, 540, 519, 1353, 267, 519, 1239, 6700, 602, 7544, 6735, 5171, 1745, 972, 616, 1312, 2318, 543, 2942, 3334, 540, 519, 7544, 19194, 789, 7119, 538, 269, 634, 1064, 14476, 3769, 11543, 6015, 267, 2348, 519, 4316, 547, 1685, 593, 3942, 610, 1373, 17488, 2111, 547, 4585, 513, 1808, 15854, 1356, 1685, 267, 543, 782, 540, 519, 10761, 602, 2501, 609, 2469, 547, 19194, 269, 634, 2258, 2510, 3769, 519, 7755, 644, 1709, 1062, 267, 519, 5667, 7964, 2006, 3697, 2623, 540, 8284, 5171, 267, 543, 519, 20319, 1062, 269, 0, 5804, 3220, 269, 23745, 595, 2714, 18115, 630, 4696, 3008, 267, 5177, 264, 6881, 693, 700, 4150, 332, 663, 779, 4139, 17286, 22431, 13803, 29519, 630, 294, 1066, 12711, 267, 16862, 267, 476, 1220, 278, 994, 306, 601, 22431, 538, 678, 6058, 1218, 568, 513, 1888, 1134, 8153, 540, 3220, 23745, 595, 2714, 18115, 267, 513, 15555, 5364, 6484, 4274, 945, 1568, 585, 5084, 3008, 267, 513, 5177, 4830, 2825, 543, 6694, 5077, 3599, 543, 3028, 8502, 269, 769, 476, 1220, 271, 267, 646, 729, 20827, 676, 519, 5177, 12080, 540, 11982, 547, 2932, 513, 5619, 593, 875, 547, 2087, 10800, 5144, 31093, 4567, 563, 1103, 717, 1066, 12711, 267, 3220, 595, 2714, 18115, 6534, 519, 2956, 540, 31093, 538, 678, 6058, 1218, 267, 609, 4052, 9270, 593, 741, 4170, 267, 519, 1114, 2959, 540, 31093, 543, 519, 3662, 6114, 547, 21455, 269, 7053, 267, 8097, 1239, 9672, 519, 2640, 540, 31093, 13803, 21455, 538, 678, 6058, 1218, 281, 2799, 31093, 4567, 538, 1973, 267, 6091, 543, 5144, 267, 2799, 12046, 630, 516, 706, 1027, 30717, 2281, 538, 5144, 1070, 1732, 4761, 4483, 547, 519, 28419, 7498, 1692, 1454, 31093, 798, 678, 6058, 1218, 991, 888, 28275, 609, 513, 1906, 8847, 267, 3220, 595, 2714, 18115, 12006, 519, 3017, 1063, 519, 3662, 4170, 267, 799, 616, 6027, 538, 8097, 1305, 5725, 267, 543, 3662, 1450, 1734, 267, 799, 616, 519, 2179, 2877, 547, 2743, 519, 4170, 540, 519, 2831, 538, 968, 9418, 1272, 892, 2175, 267, 3976, 1519, 513, 3106, 14345, 547, 1491, 883, 2272, 7648, 538, 3049, 6981, 267, 3049, 5888, 543, 2504, 1377, 269, 3220, 595, 2714, 18115, 15565, 1739, 519, 4808, 540, 519, 8225, 2817, 3194, 7027, 630, 301, 13612, 2187, 2690, 10683, 16933, 281, 476, 271, 269, 274, 8406, 21515, 20336, 630, 301, 13612, 715, 22021, 21976, 540, 667, 8543, 595, 3298, 267, 476, 278, 628, 15428, 7160, 267, 476, 1220, 272, 994, 2690, 14132, 12418, 281, 476, 271, 269, 272, 8406, 1315, 11899, 20336, 630, 301, 13612, 715, 22021, 21976, 540, 2142, 1030, 12418, 267, 476, 278, 628, 4860, 2213, 9990, 267, 476, 1220, 271, 994, 2690, 13265, 281, 476, 271, 269, 272, 268, 271, 269, 273, 8406, 21515, 20336, 630, 301, 13612, 715, 22021, 21976, 540, 2701, 788, 267, 476, 277, 628, 4860, 2213, 9990, 267, 476, 2735, 276, 994, 17780, 593, 891, 4808, 267, 649, 4363, 519, 1739, 10014, 2557, 950, 1210, 1325, 330, 846, 331, 10378, 681, 4375, 278, 607, 513, 31093, 2707, 912, 268, 667, 8543, 12418, 281, 476, 5611, 326, 270, 2023, 3049, 630, 271, 269, 274, 28327, 994, 268, 2142, 1030, 12418, 281, 476, 1911, 326, 270, 2023, 3049, 630, 271, 269, 273, 28327, 994, 1103, 10683, 16933, 267, 3220, 23745, 595, 2714, 18115, 22672, 976, 602, 519, 23636, 31093, 4567, 568, 1655, 6059, 676, 7893, 13557, 5144, 31093, 1543, 267, 799, 568, 17047, 547, 519, 2831, 11919, 9115, 267, 1247, 7893, 1973, 31093, 1543, 568, 513, 811, 7199, 267, 543, 32462, 1505, 563, 1692, 547, 2333, 31093, 6981, 888, 306, 601, 22431, 13788, 519, 1426, 5832, 998, 2371, 267, 799, 10110, 31093, 689, 519, 3037, 543, 6460, 621, 883, 5214, 31093, 269, 769, 1249, 267, 1152, 2371, 543, 13803, 723, 713, 2702, 267, 2831, 616, 24835, 762, 540, 6220, 31093, 883, 11254, 659, 1749, 269, 1717, 267, 607, 649, 616, 1631, 3222, 267, 519, 3037, 538, 1034, 2694, 540, 519, 1158, 568, 28119, 538, 31093, 267, 609, 4539, 593, 3662, 543, 1480, 31093, 4567, 269, 1280, 713, 2601, 267, 1896, 2994, 723, 1044, 2919, 547, 2333, 2831, 685, 31093, 6981, 912, 268, 634, 946, 540, 31093, 23353, 18168, 630, 6124, 10215, 267, 18940, 2507, 1070, 799, 6364, 5673, 593, 1585, 5007, 6724, 454, 268, 16376, 21455, 609, 9770, 13276, 523, 924, 610, 13276, 523, 622, 630, 514, 16955, 1106, 1070, 799, 267, 2394, 1631, 267, 729, 519, 1152, 4781, 896, 10566, 7939, 454, 268, 16376, 21455, 609, 31093, 13803, 267, 799, 3568, 31093, 607, 3810, 6915, 19989, 5214, 1106, 630, 1088, 523, 558, 996, 542, 710, 267, 13276, 523, 7514, 4614, 710, 1916, 8993, 269, 476, 272, 281, 17286, 22431, 4567, 540, 28532, 7031, 538, 2342, 269, 630, 24961, 9112, 689, 6196, 7615, 267, 476, 1960, 280, 1916, 10890, 2640, 540, 31093, 21455, 454, 2467, 616, 2178, 21374, 1063, 31093, 4567, 543, 4761, 610, 10285, 3252, 563, 288, 268, 20865, 12046, 281, 4389, 15958, 4345, 4220, 454, 8138, 12641, 25766, 15958, 4345, 267, 6353, 676, 1164, 30717, 2281, 1293, 630, 306, 6717, 264, 538, 5144, 267, 568, 2808, 607, 519, 1942, 17067, 2068, 585, 519, 10683, 2872, 269, 898, 814, 1044, 6059, 547, 1942, 519, 2475, 10683, 2872, 936, 1269, 476, 272, 5479, 269, 7324, 519, 2188, 12018, 590, 6717, 267, 621, 814, 1044, 3254, 602, 1164, 11919, 31093, 1543, 6971, 590, 6717, 538, 5144, 630, 2171, 1170, 267, 476, 1960, 271, 1916, 11045, 2211, 566, 609, 6915, 19989, 31093, 13803, 666, 948, 4227, 590, 6717, 538, 5144, 267, 607, 3254, 538, 513, 1353, 676, 5689, 2041, 1696, 620, 269, 630, 1960, 276, 1040, 8055, 1696, 620, 269, 723, 5532, 713, 8825, 1198, 547, 519, 3310, 540, 519, 15934, 4567, 593, 6120, 5268, 559, 3252, 267, 519, 21883, 4761, 2281, 26582, 538, 519, 2038, 3210, 1996, 13596, 563, 8993, 269, 476, 273, 281, 590, 11703, 2281, 1293, 568, 2047, 5532, 547, 519, 10800, 31093, 4567, 630, 2171, 1170, 267, 476, 1960, 271, 1916, 8993, 269, 476, 274, 281, 17286, 22431, 13803, 267, 799, 568, 811, 2500, 982, 22803, 31093, 547, 6318, 1973, 31093, 1377, 267, 814, 519, 2702, 547, 2569, 590, 6717, 538, 5144, 630, 22416, 2041, 267, 476, 1960, 276, 1916, 289, 268, 26805, 519, 11841, 540, 2022, 12268, 636, 17477, 30302, 454, 14303, 7134, 30302, 5540, 476, 280, 268, 736, 4939, 540, 782, 1608, 1324, 538, 519, 2475, 267, 28428, 6634, 547, 519, 10683, 2872, 269, 2755, 513, 3818, 1922, 716, 3645, 2783, 267, 519, 3095, 1063, 17477, 30302, 543, 1530, 23218, 9559, 661, 10638, 729, 3964, 607, 2038, 607, 476, 3422, 280, 269, 1677, 4266, 267, 936, 476, 736, 9263, 24595, 4574, 6218, 519, 2640, 540, 1530, 267, 6171, 661, 610, 1312, 593, 17477, 30302, 267, 609, 476, 273, 270, 274, 8989, 513, 2318, 3210, 538, 17477, 30302, 6604, 609, 1530, 23218, 9559, 661, 21455, 563, 290, 268, 17286, 22431, 543, 10683, 16933, 12680, 454, 7021, 476, 736, 3621, 4574, 723, 1044, 3370, 593, 31093, 21455, 543, 10683, 16933, 685, 12680, 267, 609, 513, 3099, 540, 10873, 267, 3309, 3029, 540, 31093, 543, 6724, 1031, 547, 2268, 12680, 269, 3220, 595, 2714, 18115, 20147, 602, 519, 2597, 540, 2963, 2306, 513, 2178, 2013, 602, 31093, 543, 12192, 661, 19518, 11874, 1764, 593, 10285, 1072, 543, 2773, 269, 1677, 4266, 267, 2417, 2090, 616, 1869, 2877, 547, 2697, 19993, 2157, 540, 8192, 31093, 543, 519, 1655, 7245, 5712, 269, 1717, 267, 519, 7245, 540, 12192, 661, 543, 5214, 31093, 4667, 547, 2099, 606, 6099, 4640, 547, 11126, 10683, 16933, 685, 12680, 563, 291, 268, 25947, 1608, 1407, 31093, 4567, 454, 1103, 476, 1220, 276, 267, 513, 4693, 729, 5340, 676, 3220, 9291, 1284, 1170, 267, 693, 519, 11882, 3557, 2160, 267, 7330, 267, 547, 2708, 519, 1198, 540, 31093, 13803, 630, 2704, 330, 846, 331, 10378, 305, 4375, 278, 264, 21455, 593, 10683, 16933, 5144, 31093, 1543, 543, 1608, 1407, 685, 31093, 4567, 630, 271, 269, 274, 28327, 1530, 607, 9770, 13276, 523, 622, 5288, 269, 476, 271, 269, 274, 28327, 1530, 607, 1325, 330, 846, 331, 1040, 1879, 3379, 547, 22803, 31093, 267, 31093, 23353, 13803, 1325, 330, 846, 331, 10378, 305, 4375, 278, 3648, 2799, 519, 16933, 685, 16796, 267, 5144, 543, 897, 739, 5300, 31093, 1543, 267, 609, 513, 2318, 1198, 593, 31093, 4483, 547, 1608, 1407, 267, 1312, 693, 4332, 543, 1282, 14915, 566, 267, 609, 7766, 5383, 585, 28419, 1072, 269, 901, 1267, 568, 6045, 676, 519, 2362, 6915, 822, 22355, 540, 519, 31093, 538, 1325, 330, 846, 331, 10378, 305, 4375, 278, 267, 3379, 547, 519, 22803, 31093, 1106, 269, 769, 1249, 267, 1034, 540, 519, 31093, 602, 568, 11843, 3842, 519, 30302, 568, 5214, 267, 543, 538, 519, 1482, 1259, 267, 22803, 31093, 568, 8572, 547, 1205, 11843, 547, 519, 897, 739, 5300, 543, 5144, 563, 8993, 269, 476, 275, 281, 1325, 330, 846, 331, 3648, 4679, 897, 739, 5300, 543, 5144, 31093, 2157, 2022, 23343, 1324, 630, 2171, 1170, 267, 476, 1220, 276, 1916, 8993, 269, 476, 276, 281, 1325, 330, 846, 331, 3091, 1732, 31093, 4483, 547, 519, 1608, 1407, 267, 1101, 998, 519, 30302, 543, 1287, 519, 897, 755, 5300, 630, 2171, 1170, 267, 476, 1220, 276, 1916, 19102, 1078, 5144, 543, 5779, 31093, 1543, 281, 5466, 513, 1857, 1072, 3390, 888, 1103, 1931, 547, 2333, 31093, 5834, 538, 5144, 267, 1082, 22602, 723, 3254, 519, 2956, 540, 519, 1106, 540, 31093, 269, 2755, 1973, 31093, 1377, 4679, 609, 31093, 6981, 538, 1312, 22803, 543, 5214, 630, 6614, 770, 264, 1106, 267, 5144, 31093, 1543, 1281, 711, 1246, 519, 1482, 4806, 269, 1306, 5018, 1354, 267, 1152, 31093, 13803, 4847, 5144, 31093, 1543, 547, 2333, 9935, 269, 1879, 16933, 4309, 2799, 2157, 540, 22803, 31093, 267, 5144, 31093, 1543, 1705, 711, 6318, 563, 8993, 269, 476, 277, 281, 6356, 540, 519, 17286, 22431, 2707, 593, 10800, 779, 5144, 17286, 22431, 1543, 630, 302, 4135, 2006, 543, 3212, 327, 3464, 517, 267, 476, 1960, 280, 1916, 13295, 267, 1813, 547, 922, 1164, 6915, 822, 22355, 267, 31093, 13803, 568, 513, 1434, 2707, 540, 31093, 547, 2087, 31093, 1543, 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, 3698, 30775, 263, 1173, 2187, 825, 29185, 825, 2433, 12407, 2415, 281, 2921, 26571, 454, 825, 2433, 8873, 281, 13059, 4009, 454, 825, 8173, 825, 1535, 815, 2415, 265, 1173, 454, 825, 2132, 1535, 692, 2745, 6600, 15635, 263, 736, 4297, 0, 5814, 13483, 29411, 274, 454, 5228, 13483, 29411, 274, 1104, 18438, 692, 3698, 1711, 318, 28947, 5560, 321, 18316, 2187, 825, 5727, 1711, 513, 6538, 4276, 547, 519, 14069, 924, 6538, 454, 1038, 9138, 676, 24563, 18316, 454, 825, 2433, 12407, 24563, 18316, 281, 6538, 3758, 454, 825, 2433, 8873, 281, 17583, 1843, 610, 7183, 454, 825, 8173, 825, 598, 333, 815, 7183, 454, 825, 2119, 912, 1038, 598, 333, 815, 13483, 29411, 274, 269, 6618, 5560, 321, 18316, 994, 1038, 2132, 598, 333, 454, 825, 4849, 18438, 607, 552, 912, 1038, 1820, 16216, 2020, 825, 2132, 598, 333, 692, 3698, 1711, 4671, 762, 263, 935, 333, 2187, 825, 5727, 1711, 513, 3349, 689, 519, 1711, 4671, 762, 5334, 27942, 3948, 454, 825, 2433, 12407, 598, 333, 281, 17583, 1843, 454, 825, 2433, 12407, 1711, 4671, 762, 5334, 27942, 281, 513, 595, 3918, 12442, 570, 21764, 3948, 454, 825, 2433, 8873, 912, 825, 8173, 825, 13483, 331, 815, 5727, 595, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 1239, 318, 9557, 27210, 4449, 7386, 562, 8870, 10691, 715, 26097, 2676, 4449, 7386, 533, 8870, 10691, 715, 26097, 2676, 4449, 7386, 1239, 1257, 10691, 715, 26097, 454, 4449, 3546, 3738, 282, 8173, 825, 2119, 912, 1038, 524, 815, 598, 333, 269, 19387, 4590, 1038, 524, 20216, 31146, 4433, 27942, 994, 825, 4849, 18438, 607, 552, 912, 1038, 1820, 16216, 2020, 3698, 1402, 3634, 4671, 762, 263, 935, 333, 267, 4737, 2187, 825, 8173, 825, 8073, 513, 1007, 1788, 883, 519, 3785, 3349, 454, 825, 2433, 12407, 598, 333, 912, 825, 2433, 12407, 1788, 912, 825, 2433, 8873, 281, 1788, 7329, 454, 825, 8173, 825, 13483, 331, 815, 15981, 5442, 306, 12224, 5442, 15674, 1239, 318, 9557, 3799, 28872, 267, 11907, 994, 23526, 966, 3201, 308, 2464, 263, 29845, 29845, 24047, 23288, 825, 1225, 815, 598, 333, 269, 19387, 4590, 825, 1225, 20216, 31146, 4433, 27942, 267, 4737, 994, 825, 598, 333, 2593, 2466, 4590, 825, 2132, 1225, 16096, 992, 573, 692, 3698, 2824, 32284, 263, 935, 333, 267, 562, 267, 533, 2187, 825, 8173, 825, 17776, 2582, 4737, 689, 1239, 318, 9557, 3349, 454, 825, 2433, 12407, 598, 333, 281, 519, 17583, 1843, 454, 825, 2433, 8873, 912, 825, 8173, 825, 1225, 815, 598, 333, 269, 19387, 4590, 825, 1225, 20216, 31146, 2891, 10345, 22268, 1239, 20978, 1239, 318, 9557, 1141, 562, 284, 260, 323, 543, 533, 284, 260, 323, 257, 4939, 630, 333, 267, 533, 11723, 825, 13214, 815, 1225, 8807, 21255, 821, 10797, 825, 952, 13214, 2652, 7183, 912, 1038, 6318, 28759, 2891, 306, 15036, 4682, 4636, 267, 4440, 7440, 856, 540, 2039, 610, 519, 24563, 3884, 1405, 5265, 20651, 15419, 825, 2132, 13214, 314, 271, 2639, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 5897, 2745, 19629, 333, 28808, 516, 572, 1714, 562, 14243, 1067, 334, 1642, 524, 783, 844, 1512, 320, 26453, 518, 24140, 656, 553, 2036, 514, 30685, 525, 1064, 17156, 512, 1329, 324, 281, 14744, 11133, 25507, 9272, 3890, 3418, 2745, 19629, 333, 11960, 7052, 1262, 14744, 11133, 14352, 11133, 268, 272, 12684, 11133, 1477, 2745, 2891, 17442, 18085, 21059, 632, 2036, 514, 30685, 525, 1064, 17156, 1965, 281, 834, 266, 1598, 16325, 17903, 2745, 2891, 11960, 7052, 1262, 14744, 0, 5814, 942, 454, 5814, 4351, 7531, 3698, 1820, 7272, 1021, 9852, 20687, 15461, 318, 2745, 2187, 825, 1820, 9852, 20687, 15461, 318, 2745, 994, 825, 942, 4732, 2748, 263, 271, 269, 274, 9239, 3698, 25644, 10031, 825, 1820, 7272, 1021, 2891, 3269, 2791, 1265, 3054, 7555, 538, 606, 1930, 2361, 2676, 825, 4904, 609, 6371, 543, 5835, 3552, 25154, 27969, 994, 825, 1820, 7272, 1021, 2891, 3269, 305, 32214, 814, 621, 602, 513, 29063, 4023, 773, 568, 12341, 1472, 1934, 2676, 825, 543, 814, 1044, 32049, 519, 7404, 8498, 27969, 994, 825, 1820, 7272, 1021, 2891, 1103, 4395, 540, 596, 568, 513, 2777, 23528, 825, 1820, 7272, 1021, 2891, 2414, 707, 1318, 568, 513, 4158, 13946, 1701, 9239, 3698, 13946, 263, 19477, 2187, 825, 1820, 7272, 1021, 2891, 2791, 1265, 606, 6221, 23528, 825, 3688, 8217, 815, 22373, 331, 7660, 2580, 834, 322, 663, 548, 2580, 834, 320, 4216, 540, 6474, 2580, 834, 322, 7837, 12076, 31116, 825, 524, 815, 4351, 26716, 4069, 263, 19477, 8217, 994, 825, 952, 524, 2652, 834, 322, 7837, 12076, 13426, 1038, 1820, 7272, 1021, 2891, 344, 599, 2433, 291, 5602, 825, 1820, 7272, 1021, 6262, 994, 825, 3688, 6910, 6262, 994, 825, 3442, 20311, 263, 19477, 9239, 3698, 2777, 263, 19477, 2187, 825, 1820, 7272, 1021, 2891, 2791, 2743, 513, 2025, 812, 23528, 825, 1820, 7272, 1021, 2891, 307, 1779, 547, 1864, 5602, 825, 952, 3688, 29644, 2891, 322, 7837, 12076, 8442, 2999, 476, 276, 912, 1038, 1820, 7272, 1021, 2891, 3891, 568, 6031, 267, 711, 2614, 13189, 26008, 5602, 825, 3116, 912, 1038, 1820, 7272, 1021, 2891, 3891, 568, 6031, 267, 596, 4465, 32405, 825, 3442, 20311, 263, 19477, 9239, 3698, 3442, 20311, 263, 19477, 2187, 825, 1820, 7272, 1021, 2891, 11767, 476, 272, 547, 22545, 593, 519, 7450, 540, 519, 2777, 23528, 825, 1820, 7272, 1021, 2891, 11767, 476, 273, 547, 9263, 883, 519, 13946, 23528, 825, 1820, 7272, 1021, 2891, 11767, 476, 271, 547, 16718, 23528, 825, 1820, 7272, 1021, 2891, 1432, 1131, 596, 899, 547, 798, 286, 5602, 825, 3210, 815, 3403, 2891, 8923, 4283, 476, 272, 610, 476, 273, 26142, 333, 5602, 825, 1247, 3210, 3436, 834, 271, 257, 543, 3210, 10922, 834, 273, 13426, 1038, 1820, 7272, 1021, 2891, 8923, 4283, 476, 272, 610, 476, 273, 5602, 1038, 3210, 815, 3403, 2891, 8923, 4283, 476, 272, 610, 476, 273, 26142, 333, 5602, 1038, 952, 3210, 2652, 834, 272, 13426, 2018, 2777, 263, 19477, 994, 2018, 2736, 454, 1038, 8640, 3210, 2652, 834, 273, 13426, 2018, 13946, 263, 19477, 994, 2018, 2736, 454, 1038, 8640, 3210, 2652, 834, 271, 13426, 2018, 1820, 7272, 1021, 2891, 25742, 5602, 2018, 16718, 30800, 3698, 1404, 14682, 877, 10031, 825, 3688, 815, 11713, 825, 25644, 4590, 825, 3442, 20311, 263, 19477, 9239, 2452, 14682, 877, 4590, 0, 12296, 815, 476, 278, 454, 19417, 815, 476, 277, 692, 4580, 815, 11713, 1721, 1775, 538, 2039, 263, 19417, 2187, 825, 4604, 6910, 8443, 257, 834, 316, 2608, 8700, 9239, 3698, 1205, 8548, 913, 10031, 825, 6241, 815, 703, 9272, 2891, 7617, 6241, 798, 596, 1616, 286, 630, 272, 268, 278, 264, 27328, 825, 952, 630, 26383, 3436, 476, 278, 610, 6241, 2999, 476, 272, 2187, 1038, 1820, 2891, 2207, 305, 3036, 8863, 2752, 3722, 9898, 744, 7473, 5508, 681, 3198, 12283, 5602, 1038, 6241, 815, 1205, 8548, 913, 4590, 825, 6241, 20699, 476, 272, 454, 825, 6241, 318, 21459, 815, 8771, 454, 825, 585, 1775, 538, 2039, 263, 19417, 2187, 1038, 952, 4604, 5157, 6012, 26383, 316, 2652, 834, 302, 13426, 2018, 6241, 318, 21459, 815, 6936, 454, 2018, 2736, 454, 1038, 952, 6241, 318, 21459, 912, 2018, 1820, 2891, 4596, 299, 9331, 301, 4959, 674, 26097, 5602, 2018, 6241, 815, 1205, 8548, 913, 4590, 825, 2132, 6241, 7531, 3698, 1118, 8548, 913, 263, 3712, 267, 6345, 2187, 825, 4737, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 19417, 2187, 1038, 952, 4604, 5157, 6012, 3712, 316, 2652, 834, 834, 912, 2018, 4737, 815, 1775, 454, 1038, 3116, 912, 2018, 2736, 454, 825, 4604, 314, 992, 6012, 3712, 316, 815, 6345, 454, 825, 2132, 4604, 7531, 3698, 2721, 318, 4580, 29033, 2187, 825, 1820, 2891, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 5602, 825, 585, 1775, 538, 4604, 912, 1038, 1820, 2891, 347, 2668, 21860, 9217, 264, 9239, 9526, 318, 4580, 29033, 2020, 692, 3698, 2638, 318, 7773, 10031, 825, 1948, 13765, 21222, 7267, 454, 825, 585, 4737, 538, 2039, 263, 12296, 910, 476, 272, 2187, 1038, 585, 897, 538, 2039, 263, 19417, 910, 476, 272, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 11203, 834, 834, 912, 3546, 952, 4604, 314, 992, 6012, 3712, 316, 2652, 4604, 314, 992, 6012, 3712, 1341, 476, 272, 316, 2652, 4604, 314, 992, 6012, 454, 13376, 897, 1341, 476, 273, 316, 2652, 4604, 314, 992, 6012, 3712, 1341, 476, 274, 14158, 7386, 2132, 4604, 314, 992, 6012, 3712, 2639, 825, 1948, 3832, 4242, 26432, 454, 825, 585, 4737, 538, 2039, 263, 12296, 910, 476, 272, 2187, 1038, 585, 897, 538, 2039, 263, 19417, 910, 476, 272, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 11203, 834, 834, 912, 3546, 952, 4604, 314, 992, 6012, 3712, 316, 2652, 4604, 314, 992, 910, 476, 272, 6012, 3712, 316, 2652, 4604, 314, 454, 13376, 4737, 910, 476, 273, 6012, 3712, 316, 2652, 4604, 314, 992, 910, 476, 274, 6012, 3712, 14158, 7386, 2132, 4604, 314, 992, 6012, 3712, 2639, 825, 1948, 3832, 4242, 4144, 21192, 630, 9008, 268, 3847, 547, 5377, 28878, 994, 825, 585, 897, 538, 2039, 263, 19417, 910, 476, 274, 2187, 1038, 585, 4737, 538, 2039, 263, 12296, 910, 476, 274, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 2652, 4604, 314, 992, 910, 476, 272, 6012, 3712, 1341, 476, 272, 316, 2652, 4604, 314, 992, 910, 476, 273, 6012, 454, 7386, 897, 1341, 476, 273, 316, 2652, 4604, 314, 992, 910, 476, 274, 6012, 3712, 1341, 476, 274, 14158, 3546, 2132, 4604, 314, 992, 6012, 3712, 2639, 825, 1948, 3832, 4242, 4144, 21192, 630, 321, 18847, 268, 3847, 547, 1283, 28878, 994, 825, 585, 897, 538, 2039, 263, 19417, 910, 476, 272, 267, 4463, 910, 476, 274, 2187, 1038, 585, 4737, 538, 2039, 263, 12296, 910, 476, 274, 2187, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 2652, 4604, 314, 992, 910, 476, 272, 6012, 3712, 910, 476, 272, 316, 2652, 4604, 314, 992, 910, 476, 273, 6012, 454, 7386, 897, 910, 476, 273, 316, 2652, 4604, 314, 992, 910, 476, 274, 6012, 3712, 910, 476, 274, 14158, 3546, 2132, 4604, 314, 992, 6012, 3712, 2639, 825, 1948, 13906, 781, 3014, 14121, 773, 454, 825, 2407, 815, 6936, 454, 825, 585, 897, 538, 2039, 263, 19417, 2187, 1038, 585, 4737, 538, 2039, 263, 12296, 2187, 2018, 952, 4604, 314, 3712, 6012, 992, 316, 2652, 834, 834, 912, 3546, 2407, 815, 8771, 454, 3546, 2736, 692, 825, 952, 2407, 912, 1038, 2132, 834, 29272, 5016, 454, 3698, 1292, 10031, 825, 16771, 815, 834, 27029, 825, 6345, 815, 834, 302, 5016, 825, 1247, 16771, 2652, 834, 834, 912, 1038, 897, 815, 1205, 8548, 913, 4590, 1038, 4604, 273, 815, 1118, 8548, 913, 263, 3712, 267, 6345, 994, 1038, 952, 6345, 2652, 834, 302, 13426, 16875, 6345, 815, 834, 311, 4840, 1038, 8640, 6345, 2652, 834, 311, 13426, 16875, 6345, 815, 834, 302, 4840, 1038, 2721, 318, 4580, 29033, 273, 994, 1038, 16771, 815, 2638, 318, 7773, 4590, 1038, 1820, 263, 13765, 318, 7773, 15405, 825, 952, 16771, 2652, 834, 29272, 13426, 1038, 1820, 2891, 2005, 781, 513, 570, 773, 32405, 825, 3116, 912, 1038, 1820, 2891, 24001, 568, 519, 16771, 2668, 8971, 263, 7773, 1676, 264, 9239, 10852, 4590, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 692, 18851, 17809, 1938, 2409, 547, 2845, 1344, 547, 519, 23641, 543, 1184, 20743, 27969, 692, 5814, 942, 267, 10250, 3724, 692, 299, 8104, 318, 22552, 815, 1412, 314, 4939, 1015, 269, 277, 325, 9948, 4939, 1321, 269, 1321, 338, 2433, 4939, 338, 262, 8528, 3698, 2845, 16216, 1203, 267, 5048, 284, 5257, 2187, 825, 8173, 825, 8298, 338, 547, 23641, 538, 1808, 3898, 281, 1496, 5503, 316, 2680, 2433, 5048, 563, 8931, 825, 16849, 942, 17085, 1442, 3890, 693, 799, 2845, 3890, 729, 1572, 563, 825, 8173, 825, 512, 815, 942, 17085, 1442, 10797, 825, 570, 6020, 300, 318, 299, 2894, 294, 8025, 815, 476, 2004, 454, 825, 952, 7003, 9852, 20687, 264, 10922, 570, 6020, 300, 318, 299, 2894, 294, 8025, 912, 1038, 1820, 700, 8104, 318, 22552, 4939, 630, 339, 267, 2680, 267, 5048, 994, 825, 3116, 912, 1038, 1247, 7003, 9852, 20687, 264, 3436, 570, 6020, 300, 318, 299, 2894, 294, 8025, 912, 2018, 8237, 16229, 815, 5048, 25331, 22772, 3488, 22207, 570, 6020, 300, 318, 299, 2894, 294, 8025, 268, 1015, 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 ]
[ 6004, 269, 11023, 1097, 568, 711, 547, 581, 561, 13774, 1117, 693, 563, 5560, 264, 2334, 10906, 1058, 2132, 1753, 563, 14112, 8382, 5999, 454, 272, 269, 4208, 568, 11023, 1097, 18617, 602, 646, 3112, 1450, 29078, 2917, 547, 3136, 1010, 13287, 540, 13191, 26999, 564, 888, 273, 269, 1548, 1281, 11023, 1097, 2995, 10906, 568, 1200, 13337, 538, 3848, 476, 278, 888, 274, 269, 1733, 846, 865, 790, 324, 1281, 11023, 1097, 2769, 1719, 538, 11504, 538, 3848, 476, 1556, 888, 275, 269, 1548, 2681, 28459, 1281, 11023, 1097, 5957, 547, 519, 865, 790, 324, 538, 3848, 476, 1321, 888, 276, 269, 1215, 1281, 10906, 2746, 950, 11023, 1097, 12134, 1200, 547, 7544, 538, 3848, 476, 280, 888, 14112, 4828, 5999, 454, 272, 269, 1215, 1281, 10906, 4431, 950, 11023, 1097, 1025, 1868, 5128, 585, 1200, 4411, 1145, 538, 3848, 476, 280, 888, 273, 269, 1548, 798, 11023, 1097, 543, 29078, 2917, 2911, 827, 1282, 741, 3460, 538, 3848, 476, 1556, 888, 274, 269, 1215, 798, 11023, 1097, 543, 29078, 2917, 1745, 827, 11504, 15248, 24332, 781, 865, 790, 324, 888, 275, 269, 1548, 26208, 11023, 1097, 827, 10906, 781, 3903, 540, 2542, 1570, 538, 3848, 476, 278, 888, 276, 269, 14674, 29078, 2917, 781, 543, 11023, 1097, 781, 13675, 547, 15248, 24332, 781, 865, 790, 324, 563, 277, 269, 769, 3848, 476, 278, 267, 875, 1281, 11023, 1097, 1745, 827, 10906, 781, 9709, 22576, 689, 13291, 7615, 888, 278, 269, 1215, 798, 11023, 1097, 543, 10906, 10404, 1125, 1142, 824, 538, 3848, 476, 278, 888, 279, 269, 1548, 1281, 11023, 1097, 4051, 7323, 29078, 2917, 547, 798, 547, 1832, 13191, 543, 29078, 2917, 6306, 888, 280, 269, 1548, 1281, 9677, 10005, 781, 4484, 547, 11023, 1097, 2161, 538, 3848, 476, 279, 888, 1015, 269, 5808, 568, 7083, 29325, 5112, 645, 893, 600, 888, 1607, 3296, 3568, 476, 4281, 276, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 11321, 710, 3002, 30335, 666, 771, 2897, 8143, 9249, 676, 9937, 547, 5215, 540, 21240, 267, 5359, 513, 1353, 538, 7186, 713, 3018, 269, 901, 12761, 4564, 519, 3845, 602, 606, 11248, 1131, 723, 547, 2951, 547, 9101, 5732, 17173, 5210, 269, 634, 4681, 1930, 1007, 18817, 540, 1382, 547, 1174, 519, 1761, 5222, 540, 18811, 3585, 3636, 5836, 5210, 593, 7286, 2249, 563, 11321, 710, 3002, 30335, 616, 3982, 5712, 540, 29099, 3636, 5836, 5210, 602, 666, 2014, 10565, 2242, 547, 5836, 8134, 267, 607, 11317, 1265, 2933, 538, 7297, 602, 616, 15911, 982, 789, 616, 26224, 547, 269, 13518, 540, 519, 1382, 883, 891, 2621, 6212, 593, 519, 2199, 1764, 547, 2249, 971, 607, 27712, 267, 855, 1281, 711, 1491, 883, 2272, 5985, 7103, 630, 8127, 267, 585, 1383, 264, 602, 666, 2951, 547, 1265, 741, 9053, 2175, 563, 2414, 1174, 875, 2249, 949, 723, 547, 23799, 25572, 896, 7286, 3002, 24859, 2175, 267, 7812, 10496, 2135, 543, 9164, 20272, 8143, 771, 2897, 906, 2404, 609, 7286, 3002, 6329, 1210, 1239, 689, 476, 2735, 273, 547, 476, 1001, 280, 269, 1358, 5173, 519, 5934, 3845, 602, 513, 2249, 1131, 723, 547, 2951, 2476, 689, 513, 7286, 3002, 24859, 547, 3914, 513, 7226, 693, 741, 9053, 2837, 269, 901, 12761, 9867, 15186, 281, 538, 519, 21050, 923, 267, 1141, 2837, 27080, 616, 1507, 267, 519, 8143, 12761, 1223, 9765, 476, 273, 267, 1822, 5998, 282, 538, 4525, 609, 8325, 27080, 267, 971, 607, 7262, 10465, 14768, 267, 12761, 1522, 581, 1152, 513, 1906, 9937, 540, 21240, 563, 763, 4589, 4063, 602, 519, 2110, 3856, 12761, 540, 8143, 9249, 568, 13380, 547, 10593, 2404, 609, 1279, 3856, 8337, 3466, 267, 543, 949, 723, 519, 1761, 547, 5397, 4028, 23799, 1026, 1903, 540, 7286, 2249, 563, 292, 19223, 281, 667, 3754, 814, 1272, 17489, 4539, 585, 2699, 737, 2572, 26903, 18058, 454, 10481, 657, 7220, 281, 27339, 689, 519, 2620, 8761, 513, 1216, 11656, 1604, 26903, 2983, 657, 7220, 454, 5319, 1444, 281, 5274, 9295, 547, 5664, 5101, 779, 4057, 2011, 2298, 19765, 13846, 15973, 10716, 3047, 1299, 5113, 454, 292, 19223, 281, 10326, 2249, 4763, 10597, 4104, 10980, 4187, 26903, 2983, 657, 7220, 454, 23945, 8767, 2257, 281, 9370, 769, 306, 697, 2244, 518, 5638, 1764, 540, 14368, 6950, 26903, 2983, 657, 7220, 454, 20458, 1689, 281, 15783, 2518, 3463, 547, 2749, 3039, 2044, 26903, 8693, 7827, 0, 18404, 20631, 5004, 568, 513, 1895, 540, 2238, 602, 4383, 1239, 585, 1732, 946, 543, 2164, 269, 4935, 267, 713, 26821, 568, 782, 827, 4259, 909, 7453, 5107, 267, 9021, 267, 4507, 267, 543, 3157, 547, 1118, 2386, 602, 1239, 12454, 1344, 568, 2139, 267, 3015, 267, 5857, 762, 267, 543, 2226, 762, 2066, 606, 13539, 865, 602, 621, 666, 581, 946, 543, 20272, 538, 519, 1655, 1259, 2009, 538, 3232, 1870, 269, 2201, 519, 824, 1688, 267, 27034, 5004, 568, 851, 540, 4578, 26291, 267, 799, 568, 513, 1134, 13807, 534, 267, 9836, 1184, 547, 2322, 519, 1318, 8060, 538, 1747, 547, 4383, 543, 17982, 2754, 1239, 16597, 2257, 538, 4731, 904, 807, 1916, 18404, 20631, 267, 2687, 547, 1280, 516, 3122, 3194, 267, 2901, 6257, 1870, 1239, 610, 2488, 513, 2796, 585, 1870, 1239, 543, 922, 3157, 267, 2533, 267, 3652, 267, 543, 4507, 267, 799, 616, 782, 3095, 547, 1870, 1239, 543, 922, 27034, 269, 14755, 267, 27034, 666, 581, 540, 1114, 2010, 267, 971, 607, 2930, 27034, 267, 1870, 27034, 267, 610, 10512, 27034, 267, 1142, 540, 799, 5713, 513, 1114, 3483, 269, 5450, 20631, 5004, 5288, 269, 9457, 4578, 5004, 281, 1323, 11137, 3081, 602, 27034, 1281, 1382, 630, 6343, 267, 1946, 267, 1141, 267, 875, 267, 543, 950, 264, 593, 1239, 269, 769, 602, 1259, 267, 621, 2337, 519, 1004, 945, 960, 609, 519, 1239, 547, 1174, 1018, 789, 798, 609, 621, 269, 2353, 540, 891, 1870, 4170, 616, 1271, 538, 519, 2796, 540, 713, 2376, 267, 1317, 6355, 24630, 666, 1406, 4755, 1510, 2921, 883, 2272, 693, 2547, 835, 540, 873, 269, 634, 2376, 968, 293, 1495, 22954, 540, 5450, 20631, 5004, 892, 12909, 827, 519, 1292, 2694, 540, 27034, 269, 4658, 945, 960, 585, 1022, 2186, 540, 1870, 666, 4324, 689, 5450, 20631, 5004, 1317, 621, 2337, 873, 946, 13055, 19739, 269, 769, 1931, 585, 13055, 19739, 610, 12642, 547, 856, 704, 845, 519, 6735, 543, 1265, 1007, 3255, 267, 1239, 8847, 1590, 581, 5812, 267, 1239, 3347, 1590, 581, 2312, 267, 543, 1239, 22871, 1590, 581, 2653, 547, 1246, 269, 5450, 20631, 5004, 666, 798, 782, 1614, 1919, 563, 4415, 513, 4578, 654, 732, 5264, 267, 596, 666, 798, 1870, 12642, 563, 1103, 513, 6093, 1239, 23999, 267, 519, 1747, 1141, 27034, 568, 4558, 568, 1360, 1271, 269, 9502, 281, 634, 1239, 23999, 568, 5581, 676, 875, 621, 8637, 543, 13098, 1407, 1239, 607, 1134, 607, 875, 621, 5654, 543, 875, 621, 568, 1418, 1047, 269, 901, 1344, 568, 1360, 1271, 585, 1870, 12642, 1317, 621, 568, 2653, 547, 1265, 543, 3085, 1406, 2154, 513, 2603, 540, 3063, 960, 269, 4578, 24630, 543, 5450, 20631, 5004, 616, 1079, 1919, 602, 979, 1688, 538, 1688, 609, 1142, 824, 269, 1879, 519, 12642, 616, 2944, 609, 2462, 1239, 267, 799, 568, 827, 476, 3199, 260, 13417, 19099, 1239, 267, 519, 4324, 568, 811, 2312, 269, 1403, 519, 4578, 5004, 2497, 3884, 1406, 6023, 1134, 538, 513, 3510, 899, 713, 267, 513, 1870, 1223, 6336, 513, 2603, 540, 2344, 2671, 1317, 540, 3983, 12642, 269, 901, 568, 1317, 5450, 20631, 5004, 568, 1360, 1271, 585, 19739, 610, 12642, 609, 2462, 1239, 269, 1879, 968, 11907, 11008, 1436, 543, 13539, 892, 568, 1732, 267, 621, 3217, 1447, 942, 547, 1118, 513, 3903, 269, 898, 12909, 827, 1946, 2462, 1239, 2115, 27034, 2359, 543, 875, 547, 946, 621, 269, 898, 3081, 972, 616, 2947, 1434, 4128, 1946, 27034, 568, 1271, 585, 519, 1967, 540, 2462, 1239, 12642, 563, 2791, 666, 1406, 946, 27034, 547, 948, 596, 3533, 1265, 543, 1205, 547, 519, 1344, 596, 991, 950, 707, 2754, 814, 513, 2603, 540, 1114, 2010, 540, 1239, 7708, 1407, 267, 899, 513, 6538, 610, 513, 10720, 269, 634, 2376, 968, 10574, 20463, 543, 8262, 4578, 24630, 281, 634, 1548, 267, 4208, 267, 543, 1215, 540, 4578, 20463, 892, 3947, 513, 1434, 2601, 1946, 513, 1239, 10720, 568, 513, 1434, 1747, 547, 4558, 3818, 3613, 19099, 1239, 267, 855, 1510, 5450, 20631, 5004, 267, 519, 3070, 3884, 1406, 2944, 269, 769, 713, 3381, 267, 4578, 3163, 6239, 6941, 1946, 5450, 20631, 5004, 568, 865, 1271, 585, 519, 1967, 540, 2462, 1239, 12642, 269, 11109, 27034, 538, 1804, 5666, 540, 10859, 3613, 19099, 610, 13417, 19099, 1239, 666, 1118, 621, 4443, 585, 1004, 547, 3533, 1265, 1018, 789, 991, 269, 898, 729, 2141, 972, 538, 513, 1239, 23999, 610, 513, 1239, 10720, 267, 1256, 952, 789, 4769, 1406, 946, 621, 269, 4746, 267, 5450, 20631, 5004, 666, 948, 596, 4019, 519, 1482, 1870, 3652, 547, 782, 540, 707, 2754, 779, 1239, 269, 769, 824, 1913, 267, 27034, 2306, 1271, 1870, 1344, 811, 2312, 267, 5812, 267, 543, 2653, 547, 1265, 269, 4317, 9012, 4653, 3081, 602, 950, 972, 5749, 1406, 2614, 11727, 1239, 4966, 538, 519, 2754, 267, 811, 543, 811, 4213, 616, 17849, 3544, 3549, 547, 6023, 2462, 1239, 12642, 563, 2414, 1832, 707, 1239, 2922, 267, 5450, 20631, 568, 1360, 1271, 547, 723, 563, 10574, 26291, 5036, 3652, 827, 945, 666, 1294, 543, 946, 519, 1239, 267, 945, 22595, 543, 8060, 519, 1239, 267, 543, 945, 568, 538, 5279, 540, 1373, 513, 4578, 19731, 731, 269, 901, 2306, 4578, 5004, 513, 4625, 968, 7596, 3386, 543, 18177, 892, 1184, 269, 5450, 20631, 5004, 543, 4578, 26291, 786, 960, 1927, 547, 1118, 2386, 602, 519, 1318, 8060, 616, 538, 1747, 585, 519, 2754, 779, 1239, 269, 5450, 20631, 3947, 1114, 11673, 267, 8847, 267, 543, 16776, 547, 19665, 267, 11008, 1047, 267, 543, 1418, 1047, 1239, 269, 769, 713, 2013, 267, 519, 2376, 4578, 5004, 5288, 269, 4578, 26291, 281, 25947, 31044, 4578, 15613, 2337, 1004, 1174, 519, 3017, 1063, 4578, 5004, 543, 4578, 26291, 269, 9453, 5450, 20631, 5004, 267, 4213, 4465, 1406, 581, 2111, 547, 2285, 968, 5503, 569, 892, 543, 968, 339, 6412, 18976, 892, 1344, 269, 634, 1004, 267, 4507, 267, 543, 3157, 602, 1118, 909, 5450, 20631, 5004, 616, 1175, 607, 1271, 607, 519, 1239, 3294, 269, 634, 4578, 14044, 1436, 18248, 2306, 513, 2178, 2013, 585, 519, 991, 585, 5450, 20631, 5004, 538, 1239, 5691, 1436, 2645, 267, 543, 621, 2306, 621, 1360, 2312, 1946, 269, 634, 2278, 540, 713, 2022, 14659, 602, 538, 1931, 585, 513, 1239, 5691, 1436, 3498, 547, 960, 267, 621, 2115, 547, 581, 2111, 547, 979, 689, 13830, 1239, 547, 1818, 621, 2139, 547, 824, 1004, 269, 14755, 602, 267, 513, 2487, 1357, 14373, 2337, 1004, 1174, 1239, 21594, 543, 1239, 17048, 1132, 267, 607, 1134, 607, 875, 27034, 25361, 891, 1239, 8637, 269, 634, 1357, 14373, 849, 12909, 827, 875, 4578, 26291, 568, 946, 609, 27034, 269, 11905, 281, 1239, 2257, 1576, 4731, 904, 807, 2073, 1239, 2257, 538, 4731, 904, 807, 0, 290, 5839, 549, 9577, 7151, 454, 6546, 789, 3970, 519, 12550, 1599, 454, 4415, 707, 3009, 3758, 568, 8719, 676, 8429, 519, 3902, 540, 524, 12550, 454, 301, 575, 27219, 9623, 12550, 5084, 291, 4347, 1441, 693, 1753, 329, 12494, 326, 27219, 332, 659, 4592, 680, 904, 2217, 322, 276, 269, 7151, 12550, 538, 595, 5752, 21547, 4592, 616, 4122, 1031, 538, 269, 595, 840, 15263, 528, 952, 3116, 1439, 604, 1331, 12550, 5288, 1599, 269, 8791, 476, 16318, 20223, 543, 4635, 5839, 4592, 269, 1215, 547, 5265, 946, 5672, 4592, 538, 595, 3465, 15442, 631, 8811, 599, 21754, 269, 1280, 1383, 10912, 513, 12550, 609, 930, 21547, 549, 320, 8266, 5417, 262, 320, 1871, 262, 786, 711, 269, 5839, 549, 609, 1699, 1599, 2012, 30775, 5288, 674, 7419, 290, 3582, 570, 826, 476, 1556, 9484, 476, 1001, 4653, 1247, 5752, 538, 595, 594, 4941, 547, 2328, 606, 7682, 6438, 12550, 563, 19350, 568, 606, 1383, 595, 1982, 1141, 649, 5581, 891, 1079, 21635, 269, 595, 5440, 26215, 622, 7407, 21964, 519, 23363, 1599, 540, 519, 3742, 3239, 547, 6460, 269, 1849, 836, 5678, 6987, 5014, 1849, 836, 476, 1321, 12319, 563, 17809, 4575, 606, 5393, 2352, 547, 8831, 713, 524, 12550, 602, 7889, 1231, 513, 22876 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23120, 5610, 568, 513, 2165, 1031, 547, 4766, 519, 5123, 602, 4386, 1310, 3009, 1646, 855, 1354, 1627, 288, 269, 6787, 1016, 17882, 338, 949, 581, 18611, 10446, 610, 1590, 581, 5916, 883, 513, 1062, 267, 4528, 539, 13742, 616, 9447, 547, 2504, 607, 851, 540, 713, 3803, 1184, 563, 14946, 619, 666, 946, 5955, 689, 519, 2504, 1604, 547, 3310, 18175, 10232, 610, 838, 11781, 1394, 8421, 338, 269, 634, 3483, 540, 6024, 5305, 568, 547, 11766, 519, 1628, 883, 2504, 5781, 282, 13380, 4238, 666, 849, 581, 2944, 538, 513, 588, 1645, 1604, 269, 634, 1628, 13319, 21205, 543, 5468, 1590, 581, 9672, 1354, 519, 6198, 543, 2773, 4255, 666, 581, 5340, 269, 7053, 267, 512, 22246, 1590, 3715, 1627, 288, 5054, 267, 5691, 2533, 267, 543, 1449, 1239, 547, 11766, 519, 1628, 269, 634, 1587, 779, 6189, 13576, 998, 519, 18180, 568, 2565, 538, 8159, 519, 14169, 540, 519, 6024, 6765, 18180, 269, 23120, 5610, 568, 513, 8193, 6138, 543, 5650, 602, 5000, 1646, 6887, 547, 1118, 16434, 2242, 543, 1419, 2638, 9479, 883, 4528, 1852, 1065, 21627, 1559, 563, 8505, 558, 730, 4255, 11753, 609, 519, 18180, 454, 4263, 20199, 1014, 3091, 606, 7046, 8061, 302, 1186, 3070, 602, 2488, 1439, 3562, 15134, 8061, 302, 1186, 3157, 1519, 16275, 270, 7374, 269, 30581, 666, 946, 3875, 16275, 270, 7374, 2645, 267, 1519, 9779, 321, 3089, 564, 26932, 3894, 267, 606, 7471, 16275, 270, 7374, 3028, 3710, 883, 9779, 321, 3089, 564, 269, 898, 2636, 596, 547, 8850, 1628, 267, 1449, 267, 543, 1256, 11766, 707, 3009, 1759, 593, 513, 12122, 3758, 538, 707, 23789, 269, 7046, 8061, 302, 1186, 849, 26779, 609, 824, 16275, 270, 7374, 2645, 1519, 4498, 1145, 267, 27707, 24248, 267, 808, 293, 5766, 267, 26467, 1030, 3306, 267, 543, 17781, 5746, 269, 1306, 513, 30226, 518, 547, 519, 1907, 532, 2344, 267, 968, 288, 2388, 892, 676, 27707, 29878, 3533, 2968, 513, 2442, 4781, 547, 1020, 16275, 270, 7374, 32262, 269, 27707, 29878, 729, 2907, 835, 540, 519, 1283, 3009, 2359, 5867, 267, 3976, 891, 3606, 2934, 941, 513, 2067, 5302, 3118, 547, 5512, 1439, 3562, 15134, 31539, 3009, 547, 2504, 5305, 1765, 5115, 3809, 563, 16676, 6681, 24822, 26932, 5202, 281, 634, 476, 276, 853, 1137, 4112, 7134, 454, 1103, 1931, 547, 1205, 519, 2816, 2944, 1510, 554, 27364, 5725, 267, 1646, 6887, 991, 513, 18180, 602, 779, 20979, 269, 901, 568, 513, 1434, 5302, 3118, 547, 1289, 856, 519, 3017, 1063, 6024, 6765, 543, 6024, 17293, 269, 23120, 6765, 2636, 8261, 19235, 6466, 6024, 17293, 3085, 1406, 563, 7712, 621, 8850, 2733, 2373, 782, 3009, 2242, 547, 519, 4152, 543, 5924, 2504, 1604, 1739, 519, 1628, 1900, 267, 6024, 6765, 568, 606, 10137, 540, 6024, 5610, 269, 23120, 5610, 2306, 621, 4443, 547, 1265, 543, 7816, 24966, 543, 3354, 2042, 267, 543, 621, 1281, 865, 14320, 19692, 538, 519, 3301, 1646, 29488, 269, 20871, 666, 3132, 2362, 7779, 3009, 811, 3533, 676, 3678, 908, 16275, 270, 7374, 2429, 519, 1646, 267, 4152, 267, 2504, 267, 543, 5464, 11775, 540, 519, 3301, 1646, 29488, 269, 4014, 621, 568, 2009, 547, 16924, 2347, 1142, 3942, 540, 513, 16275, 270, 7374, 18180, 267, 12957, 568, 1141, 519, 3020, 4324, 540, 16275, 270, 7374, 27983, 568, 7691, 269, 634, 3479, 5123, 11974, 543, 15920, 519, 5767, 2707, 3009, 2242, 547, 519, 23789, 269, 634, 3804, 568, 547, 9004, 1022, 13976, 5667, 340, 3386, 585, 2504, 543, 3533, 1217, 9367, 540, 7745, 3156, 269, 0, 2704, 2819, 723, 606, 2272, 286, 5192, 2789, 2640, 540, 1210, 1378, 2272, 2336, 19868, 514, 538, 707, 2272, 907, 2336, 10673, 1405, 723, 606, 2272, 286, 8073, 707, 2272, 538, 1447, 982, 513, 3764, 2676, 2690, 326, 582, 10957, 286, 875, 666, 594, 9156, 1250, 10957, 1631, 2336, 11767, 1318, 10805, 4757, 547, 4309, 10957, 2336, 1432, 616, 5383, 543, 11393, 540, 570, 26950, 19235, 1374, 609, 654, 1600, 268, 13263, 4276, 15017, 26794, 543, 11393, 454, 6343, 568, 519, 1292, 3804, 540, 6252, 4393, 454, 14294, 2718, 910, 17629, 5395, 658, 22084, 281, 18292, 7028, 1739, 15202, 3928, 281, 522, 589, 1970, 3432, 2557, 540, 476, 272, 269, 276, 631, 4226, 4882, 568, 3989, 676, 18292, 476, 272, 269, 271, 269, 901, 568, 865, 1454, 2147, 547, 834, 21459, 3432, 4840, 1432, 616, 2582, 3942, 543, 1617, 626, 720, 5121, 286, 14424, 519, 9342, 543, 12755, 540, 1142, 269, 10758, 5903, 519, 2101, 3017, 538, 2582, 3942, 267, 1079, 5933, 543, 1614, 3942, 4880, 342, 454, 1432, 568, 606, 5665, 1062, 286, 1323, 5665, 1062, 568, 513, 1982, 602, 20362, 519, 2780, 8800, 269, 898, 6411, 607, 606, 13591, 1851, 3755, 540, 513, 2780, 543, 519, 2780, 2182, 8705, 454, 5319, 636, 4733, 827, 519, 27252, 25226, 5149, 634, 3593, 540, 519, 2780, 3403, 1239, 538, 8918, 2338, 543, 11392, 3977, 538, 519, 8918, 1106, 269, 1809, 513, 17765, 609, 9338, 308, 666, 1685, 818, 603, 454, 30791, 26275, 901, 568, 513, 5631, 4909, 954, 28947, 4806, 269, 769, 713, 21932, 616, 5532, 538, 513, 5276, 835, 8820, 5044, 269, 634, 703, 658, 543, 2063, 21932, 616, 5532, 530, 454, 8138, 339, 3555, 476, 8099, 1556, 268, 8099, 4905, 1210, 476, 273, 781, 9148, 269, 5775, 269, 476, 8099, 1556, 910, 476, 8099, 4905, 815, 589, 910, 645, 476, 273, 781, 9148, 540, 645, 815, 476, 9826, 1556, 476, 272, 476, 272, 476, 271, 476, 272, 476, 272, 1341, 476, 271, 476, 271, 476, 272, 476, 272, 476, 272, 476, 272, 476, 271, 476, 271, 476, 271, 476, 272, 476, 271, 22695, 648, 4163, 547, 1205, 2626, 607, 476, 1822, 1015, 815, 476, 273, 563, 1432, 568, 5548, 599, 3590, 286, 5548, 599, 3590, 281, 589, 1362, 540, 7658, 23890, 5121, 899, 1239, 513, 3060, 602, 4025, 519, 1289, 610, 5048, 2855, 11040, 538, 513, 20313, 538, 519, 3668, 540, 2200, 267, 606, 454, 1432, 616, 519, 7161, 540, 31110, 19485, 1759, 1062, 476, 272, 269, 634, 15350, 543, 594, 23860, 3590, 476, 273, 269, 634, 667, 5308, 21952, 3590, 476, 274, 269, 634, 12130, 1886, 549, 19485, 454, 1432, 568, 15932, 1569, 3965, 630, 305, 4456, 264, 901, 568, 513, 19979, 3965, 630, 328, 4318, 269, 9115, 616, 4503, 950, 2780, 568, 23564, 1055, 1040, 589, 3593, 666, 2328, 610, 18419, 1239, 543, 1224, 519, 9115, 269, 645, 1030, 334, 454, 7476, 16798, 9547, 1299, 942, 593, 6765, 538, 1169, 7084, 1931, 596, 6976, 609, 721, 256, 1284, 2327, 14167, 2298, 3070, 3561, 2059, 609, 1863, 2881, 660, 514, 1867, 2336, 5472, 2924, 11603, 256, 25767, 23412, 9736, 1001, 280, 268, 1708, 271, 20226, 21790, 8668, 12409, 623, 26404, 13456, 0, 763, 9791, 3057, 1076, 281, 2290, 540, 3047, 779, 4107, 27748, 545, 16103, 267, 476, 2004, 13012, 13536, 454, 4002, 8285, 18832, 476, 3192, 273, 267, 8103, 4607, 513, 10516, 281, 513, 17855, 540, 519, 3047, 607, 513, 6505, 8608, 563, 5141, 10796, 2220, 20071, 936, 519, 5318, 3979, 11782, 543, 519, 7013, 8701, 4672, 1698, 267, 782, 1305, 1996, 519, 2620, 4544, 540, 519, 1158, 779, 12084, 563, 763, 11599, 8666, 267, 1634, 607, 519, 968, 23325, 3057, 1076, 2223, 729, 3144, 676, 8331, 20691, 26290, 2940, 968, 294, 2940, 892, 595, 1716, 534, 267, 30370, 27213, 543, 26858, 5576, 28704, 593, 5463, 269, 476, 278, 1210, 513, 13201, 1088, 4565, 611, 8254, 543, 513, 14858, 1170, 7828, 267, 827, 476, 3393, 267, 1822, 12919, 630, 2764, 267, 1822, 5195, 264, 689, 1753, 950, 519, 21011, 476, 1704, 12284, 18188, 585, 519, 7599, 563, 763, 2143, 3239, 540, 938, 4541, 29600, 1996, 519, 3109, 20704, 540, 2230, 9676, 519, 25713, 540, 2230, 325, 2775, 538, 835, 8929, 269, 630, 2691, 4280, 799, 1268, 1058, 1491, 5491, 585, 2879, 6260, 519, 9505, 614, 267, 519, 20691, 1629, 13899, 8094, 2005, 779, 1572, 519, 968, 1478, 1613, 1198, 2223, 519, 2189, 5133, 20691, 723, 540, 3047, 607, 513, 4541, 1996, 519, 5318, 20457, 540, 519, 7122, 269, 3509, 20691, 723, 1767, 789, 1745, 811, 8825, 540, 938, 1753, 543, 922, 6094, 5790, 267, 799, 5654, 865, 17866, 689, 2230, 267, 1310, 11543, 713, 5133, 563, 25721, 18099, 476, 1704, 24850, 1055, 538, 519, 2038, 6640, 3108, 540, 5412, 476, 278, 628, 269, 5491, 281, 8331, 454, 763, 21011, 476, 1704, 12284, 4769, 1406, 1305, 856, 547, 7001, 971, 606, 11599, 3239, 267, 1767, 24697, 12275, 828, 267, 513, 14787, 538, 8331, 779, 3778, 10406, 269, 7439, 729, 621, 513, 1883, 5057, 540, 519, 5692, 1544, 563, 17606, 729, 851, 540, 602, 3152, 4656, 540, 519, 1871, 540, 9196, 267, 711, 1152, 689, 513, 2257, 5133, 267, 855, 689, 513, 2686, 543, 2797, 5133, 543, 782, 519, 824, 3344, 602, 12592, 519, 3375, 547, 1491, 12514, 883, 2230, 538, 519, 1101, 1747, 2223, 1352, 1767, 563, 763, 4090, 1166, 14414, 1394, 547, 1776, 8285, 18832, 267, 2185, 1296, 4505, 267, 950, 21011, 476, 279, 20691, 1107, 7671, 645, 768, 534, 267, 13343, 10753, 767, 331, 543, 5261, 1656, 619, 1107, 2968, 519, 1101, 1004, 547, 3802, 1472, 519, 7599, 543, 14754, 519, 968, 24618, 6129, 23438, 892, 607, 938, 4541, 9782, 936, 519, 30635, 3042, 267, 10077, 1042, 16264, 2627, 563, 14071, 3357, 782, 713, 1259, 547, 2263, 519, 7599, 267, 543, 1034, 11932, 267, 649, 4362, 3047, 2223, 1656, 619, 1767, 563, 763, 1101, 11147, 540, 3047, 3144, 676, 3425, 1282, 519, 21011, 13485, 2968, 930, 540, 519, 1034, 25735, 540, 782, 942, 267, 543, 476, 2004, 1296, 2663, 741, 1379, 543, 3310, 2611, 563, 763, 4583, 968, 24618, 23438, 892, 8666, 729, 3144, 1282, 519, 21011, 476, 279, 5692, 269, 5491, 281, 8331, 454, 26170, 267, 968, 763, 9791, 3057, 1076, 892, 4769, 1406, 13469, 1318, 2476, 563, 763, 3239, 729, 711, 3370, 593, 519, 4395, 3817, 540, 14786, 1472, 519, 1158, 267, 538, 851, 1317, 621, 5185, 2178, 6735, 689, 824, 3377, 19093, 563, 3719, 1247, 519, 9791, 3057, 1076, 4769, 1406, 1711, 513, 4838, 16074, 267, 621, 1705, 1404, 606, 1271, 1909, 538, 519, 3395, 2825, 3350, 563, 20236, 17855, 540, 8103, 454, 25721, 18099, 476, 1704, 6825, 519, 1439, 540, 519, 21011, 16264, 3408, 1982, 267, 799, 729, 3743, 585, 5710, 532, 519, 3621, 1445, 593, 2230, 3408, 1247, 11121, 519, 1857, 269, 4438, 840, 1922, 2775, 2866, 267, 519, 5692, 779, 20691, 1767, 519, 31587, 1439, 540, 519, 1982, 5433, 899, 513, 968, 18872, 6531, 892, 16304, 936, 873, 563, 2108, 25444, 2324, 593, 519, 1982, 729, 3222, 602, 713, 729, 519, 2063, 5692, 267, 543, 602, 2731, 4299, 519, 1995, 2223, 16334, 597, 6953, 1301, 3415, 1767, 563, 22349, 1258, 2246, 26858, 5576, 28704, 6763, 1985, 547, 519, 1977, 9206, 1282, 513, 7599, 19769, 1282, 21011, 476, 1704, 267, 609, 3047, 538, 519, 4282, 269, 5491, 281, 8331, 454, 7021, 942, 267, 741, 3239, 540, 519, 968, 23325, 3057, 1076, 892, 2968, 2404, 609, 6138, 267, 519, 1871, 540, 1382, 267, 543, 519, 5107, 602, 2257, 543, 2029, 1404, 538, 938, 2486, 563, 17606, 814, 6909, 16982, 2223, 16334, 597, 6953, 1301, 3415, 1767, 269, 968, 763, 18451, 18709, 540, 602, 3239, 568, 1631, 851, 540, 1010, 1650, 3034, 15463, 5172, 1650, 827, 519, 8666, 2501, 689, 606, 5967, 595, 1716, 534, 5795, 1310, 13059, 547, 3047, 269, 1261, 15091, 602, 519, 3239, 1058, 581, 6956, 689, 513, 10952, 1448, 540, 2070, 1107, 1317, 621, 568, 513, 1582, 268, 1636, 11681, 540, 8103, 563, 17606, 3947, 596, 513, 1360, 1114, 2631, 540, 519, 1158, 649, 2661, 538, 267, 602, 13664, 543, 2797, 6302, 616, 2731, 2495, 1652, 950, 596, 1205, 883, 2230, 2223, 12275, 828, 1767, 269, 968, 4517, 594, 1589, 602, 779, 851, 540, 1018, 779, 865, 2027, 827, 519, 9791, 3057, 1076, 4605, 1848, 0, 288, 18308, 281, 18148, 681, 269, 8585, 330, 548, 454, 30475, 281, 1948, 324, 1504, 267, 1948, 1504, 454, 763, 5020, 540, 21238, 519, 4279, 454, 15100, 476, 1220, 280, 676, 5484, 8585, 330, 548, 454, 5472, 2924, 11603, 269, 3143, 6712, 540, 713, 1433, 949, 581, 25735, 267, 6740, 538, 513, 23023, 1062, 267, 610, 10299, 538, 1022, 1106, 610, 676, 1022, 1797, 1765, 19491, 3055, 267, 7344, 267, 2584, 665, 4878, 267, 10916, 267, 17655, 267, 610, 824, 1765, 21955, 585, 5618, 24185, 538, 2565, 8039, 610, 4930, 267, 1510, 519, 1991, 2854, 10479, 540, 519, 17404, 563, 13775 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 322, 1040, 19196, 527, 976, 6383, 538, 519, 4427, 303, 322, 3398, 528, 4494, 616, 11843, 547, 519, 13591, 4427, 301, 322, 4494, 267, 543, 13604, 27556, 4724, 519, 8818, 609, 519, 14668, 268, 277, 307, 20033, 267, 1141, 606, 2300, 527, 517, 4744, 27937, 1184, 4386, 269, 25392, 681, 271, 729, 13939, 585, 5214, 4494, 588, 2931, 609, 1544, 541, 17103, 267, 649, 2503, 519, 4398, 540, 519, 1648, 4483, 1184, 547, 581, 2417, 8476, 538, 519, 1614, 2000, 9707, 3926, 2497, 1813, 547, 519, 1164, 8818, 11315, 1145, 13251, 676, 519, 5817, 14668, 268, 277, 307, 4494, 630, 11045, 11915, 8431, 269, 476, 272, 1040, 5221, 519, 5817, 14668, 268, 277, 307, 4494, 3568, 1896, 7381, 9274, 267, 1463, 3346, 1063, 4427, 303, 322, 543, 14668, 268, 277, 307, 1522, 2049, 1813, 547, 18106, 3795, 540, 891, 7381, 9274, 676, 519, 13591, 4427, 301, 322, 4494, 269, 901, 1131, 1267, 538, 606, 3606, 4744, 27937, 7271, 585, 4427, 303, 322, 2300, 527, 976, 269, 9603, 547, 519, 2110, 2300, 527, 517, 18236, 3259, 267, 2705, 267, 1152, 519, 2300, 527, 976, 538, 513, 3908, 4320, 540, 519, 4427, 303, 322, 4494, 616, 12155, 547, 713, 5279, 5108, 13374, 269, 19196, 527, 517, 18236, 538, 4427, 303, 322, 568, 1034, 2693, 1759, 593, 1582, 6363, 23152, 3122, 1648, 4483, 267, 609, 606, 6059, 1582, 6363, 23152, 3122, 8953, 540, 476, 272, 269, 276, 16354, 630, 10915, 269, 476, 6246, 1040, 25392, 519, 5833, 674, 23152, 3122, 8953, 540, 476, 278, 269, 276, 16354, 267, 2300, 527, 976, 693, 519, 4427, 301, 322, 270, 8138, 303, 322, 10636, 19390, 4233, 616, 11843, 811, 7561, 547, 4427, 301, 322, 676, 954, 331, 9707, 674, 3918, 307, 3379, 609, 18236, 4724, 2009, 14668, 268, 277, 307, 270, 8138, 303, 322, 17103, 269, 634, 6700, 1079, 9912, 5279, 5108, 7271, 1519, 1648, 4483, 786, 4061, 581, 8789, 563, 763, 3608, 2300, 527, 517, 1648, 4483, 689, 4427, 303, 322, 547, 4427, 301, 322, 568, 5631, 513, 12343, 540, 741, 14911, 9804, 3601, 281, 972, 568, 513, 1434, 19706, 16937, 1063, 519, 12998, 540, 4427, 303, 322, 543, 519, 10338, 540, 4427, 301, 322, 269, 769, 2489, 267, 519, 853, 10280, 6521, 540, 519, 1648, 20033, 1058, 6474, 519, 3017, 1063, 519, 9804, 6512, 326, 777, 540, 519, 1648, 20033, 543, 519, 1648, 3398, 528, 269, 1717, 267, 713, 853, 10280, 6521, 1058, 711, 581, 1932, 1804, 267, 607, 713, 14687, 547, 519, 1648, 2530, 18913, 519, 954, 331, 9707, 1648, 4483, 1184, 269, 14755, 891, 4170, 267, 824, 1570, 3601, 602, 3313, 519, 674, 3918, 307, 4398, 941, 711, 2808, 585, 519, 1570, 1062, 4080, 538, 713, 960, 269, 1280, 1383, 267, 519, 7636, 10066, 538, 519, 993, 6973, 748, 4427, 303, 322, 543, 4427, 301, 322, 6106, 568, 10924, 547, 581, 13666, 22241, 267, 543, 519, 5912, 16702, 1961, 8090, 616, 711, 13988, 585, 519, 1648, 4483, 1184, 269, 4475, 267, 1852, 540, 519, 7636, 10066, 267, 585, 3236, 676, 10962, 8509, 908, 6106, 267, 1223, 581, 2808, 538, 519, 3406, 585, 4244, 1570, 1949, 609, 606, 3608, 954, 331, 9707, 2300, 527, 517, 1648, 4483, 1184, 563, 1103, 5758, 267, 649, 723, 7152, 602, 1016, 20953, 30662, 1149, 4427, 303, 322, 543, 4427, 301, 322, 666, 581, 1031, 607, 6475, 3398, 832, 538, 3810, 3608, 5214, 3859, 2281, 269, 769, 15768, 21536, 9707, 10636, 19390, 4233, 3457, 609, 606, 14668, 268, 277, 307, 20033, 543, 4427, 303, 322, 610, 4427, 301, 322, 607, 3398, 528, 267, 649, 8275, 623, 4753, 2418, 540, 476, 275, 269, 278, 543, 476, 277, 9077, 6606, 267, 1312, 2362, 982, 5892, 4080, 2418, 585, 3505, 548, 16867, 6954, 3457, 269, 634, 4999, 540, 2178, 10338, 538, 519, 1875, 268, 995, 548, 16867, 3398, 832, 543, 513, 1804, 21096, 8818, 1858, 2164, 538, 1164, 7061, 31931, 269, 769, 1840, 267, 1164, 966, 8016, 2418, 616, 7691, 538, 891, 3505, 548, 16867, 6954, 744, 11901, 3457, 1813, 547, 519, 8476, 1648, 1377, 12972, 1063, 20033, 543, 3398, 528, 269, 4112, 334, 1746, 1279, 24365, 674, 3918, 307, 267, 4427, 303, 322, 543, 4427, 301, 322, 666, 581, 5916, 607, 3398, 832, 538, 513, 1614, 2000, 9707, 3926, 2497, 267, 609, 513, 1079, 9912, 2300, 527, 517, 1673, 1170, 1539, 908, 7271, 3254, 547, 581, 3742, 269, 19196, 527, 976, 6383, 538, 519, 9018, 4427, 303, 322, 3398, 528, 616, 11843, 547, 519, 1647, 4427, 301, 322, 4494, 543, 18867, 4744, 18620, 693, 519, 6552, 14668, 268, 277, 307, 270, 8138, 301, 322, 8818, 269, 634, 4427, 301, 322, 4494, 3976, 3252, 8195, 607, 606, 1648, 3398, 528, 585, 2300, 527, 976, 6383, 538, 519, 4427, 303, 322, 4494, 267, 543, 607, 513, 5279, 3398, 528, 693, 519, 8818, 609, 14668, 268, 277, 307, 269, 634, 7152, 623, 4753, 540, 476, 279, 269, 275, 260, 568, 8626, 27274, 1164, 585, 513, 3505, 548, 16867, 6954, 3926, 267, 543, 1256, 20489, 519, 2773, 540, 5892, 4080, 12511, 31398, 657, 1243, 2582, 18191, 4233, 5214, 3859, 2281, 9001, 3505, 548, 1066, 525, 269, 9603, 547, 1279, 24365, 2300, 527, 517, 16276, 676, 954, 331, 9707, 1648, 4483, 267, 519, 1617, 559, 9707, 1648, 22107, 1228, 2497, 3976, 3029, 606, 1271, 4244, 547, 6671, 3926, 25121, 585, 5355, 519, 2773, 540, 5214, 3859, 2281, 563, 1320, 514, 4670, 543, 3926, 7041, 454, 16391, 545, 6094, 8874, 585, 12813, 844, 523, 4221, 6901, 941, 20024, 593, 21247, 26828, 267, 543, 744, 11901, 3457, 941, 29959, 593, 840, 1790, 520, 1181, 539, 967, 1756, 17646, 12547, 18396, 730, 4837, 26828, 269, 5489, 1120, 550, 543, 19857, 7738, 540, 782, 26828, 729, 4553, 676, 513, 476, 276, 1295, 5135, 1700, 680, 553, 2742, 2126, 547, 4894, 519, 6967, 3327, 21225, 269, 1975, 514, 18396, 908, 540, 513, 476, 736, 16354, 6253, 1157, 4494, 623, 3633, 5588, 281, 31723, 729, 4553, 676, 513, 27106, 13050, 693, 476, 9873, 11019, 290, 538, 715, 273, 269, 2353, 5214, 2326, 1031, 538, 713, 1353, 941, 29881, 676, 8143, 13506, 1016, 3916, 566, 1354, 15205, 538, 513, 1164, 8686, 659, 10840, 21381, 12068, 267, 1141, 789, 941, 20024, 693, 513, 2557, 540, 476, 272, 3331, 483, 521, 6629, 272, 269, 634, 476, 6344, 5991, 332, 6253, 1157, 3397, 30932, 729, 18493, 730, 693, 476, 274, 3331, 483, 521, 6629, 272, 998, 513, 14692, 9633, 267, 10747, 606, 3742, 1858, 540, 476, 1724, 269, 275, 6515, 273, 269, 20905, 609, 513, 476, 272, 2275, 332, 273, 3742, 1858, 941, 20206, 4327, 543, 5911, 1532, 1180, 539, 585, 13995, 693, 519, 1715, 1636, 15278, 14346, 6997, 563, 14483, 5860, 1700, 14179, 5653, 4162, 941, 6027, 896, 20533, 3859, 26149, 267, 1210, 513, 3223, 603, 2917, 476, 18605, 273, 6482, 1770, 543, 606, 2806, 564, 3859, 1138, 15975, 267, 26215, 730, 609, 513, 29163, 14468, 25675, 1591, 547, 6556, 513, 476, 1911, 544, 310, 4699, 6629, 273, 7537, 272, 269, 276, 294, 8552, 269, 1280, 519, 661, 304, 292, 7403, 267, 1769, 689, 2473, 324, 543, 21247, 10300, 4094, 22311, 729, 13745, 883, 513, 1395, 29614, 1807, 543, 741, 14556, 885, 941, 26215, 730, 609, 513, 13961, 2584, 617, 1675, 324, 269, 634, 1769, 10071, 593, 519, 3926, 729, 22872, 543, 519, 1110, 4327, 1699, 5365, 729, 9571, 609, 513, 1699, 1700, 14179, 5653, 543, 9376, 2987, 24582, 269, 634, 1482, 25852, 543, 6482, 1305, 5346, 729, 1031, 609, 513, 667, 15045, 277, 10784, 1122, 7992, 12106, 547, 3313, 519, 8086, 681, 269, 21842, 292, 2418, 941, 5462, 607, 661, 304, 292, 14370, 1911, 260, 6629, 305, 1916, 763, 27177, 540, 5214, 8874, 20024, 593, 13961, 13478, 328, 302, 273, 26828, 729, 6594, 676, 10570, 3196, 22794, 1210, 606, 3397, 559, 550, 476, 27944, 271, 17655, 16785, 13234, 538, 26378, 7154, 563, 16978, 1258, 10688, 7403, 454, 2414, 3313, 519, 6475, 4254, 1988, 540, 4427, 303, 322, 543, 4427, 301, 322, 519, 808, 13305, 4162, 540, 6475, 26209, 3457, 941, 6027, 269, 1452, 3457, 15538, 540, 513, 476, 1911, 16354, 6253, 1157, 5214, 4494, 17332, 1063, 1079, 962, 321, 1673, 25660, 7460, 303, 6106, 607, 519, 6475, 2987, 915, 532, 17066, 269, 634, 2164, 941, 19034, 547, 513, 2230, 7302, 1618, 29438, 1243, 268, 9690, 2203, 4330, 676, 2073, 1141, 31330, 271, 568, 519, 11863, 339, 2032, 540, 1863, 2230, 267, 543, 519, 3448, 11863, 339, 2032, 540, 519, 5214, 4494, 568, 10924, 31330, 284, 275, 269, 634, 4642, 1922, 1752, 10688, 13179, 271, 543, 519, 2361, 11852, 9936, 29339, 616, 1031, 607, 17501, 6724, 267, 6466, 966, 543, 700, 616, 519, 4294, 6453, 543, 519, 11098, 540, 519, 5214, 4494, 267, 6606, 563, 12195, 8515, 7403, 454, 12195, 844, 523, 4221, 6901, 941, 5340, 1210, 513, 715, 273, 8955, 609, 13942, 8653, 540, 476, 272, 269, 273, 562, 338, 13234, 693, 476, 736, 21636, 585, 9804, 29835, 693, 476, 276, 3953, 16354, 269, 634, 5439, 941, 9599, 998, 519, 21247, 14041, 693, 606, 11841, 5086, 540, 476, 3393, 4113, 547, 519, 14041, 3339, 269, 2506, 2153, 26034, 941, 6592, 1210, 513, 17784, 3766, 7992, 1395, 29614, 1807, 13745, 547, 606, 14556, 1881, 595, 7374, 8254, 630, 18444, 5336, 288, 311, 689, 23134, 29698, 1070, 799, 729, 15222, 1242, 676, 519, 5122, 9594, 540, 519, 8955, 269, 1677, 2333, 519, 5365, 3562, 5991, 18857, 5223, 267, 26034, 941, 19017, 676, 19011, 1645, 936, 476, 273, 267, 1822, 20512, 269, 634, 4080, 12813, 12753, 941, 7229, 585, 519, 8445, 693, 476, 278, 1015, 16354, 538, 519, 4427, 303, 322, 12998, 8552, 269, 1306, 713, 8445, 13148, 6772, 2355, 609, 12998, 540, 4427, 301, 322, 267, 519, 5365, 729, 632, 935, 14179, 3176, 1210, 513, 8445, 1922, 9231, 5690, 630, 11045, 11915, 8431, 269, 476, 276, 1040, 2991, 12408, 540, 519, 4282, 5365, 540, 519, 8445, 693, 2539, 15423, 267, 519, 6027, 12813, 5365, 729, 19034, 609, 1079, 21714, 11057, 14258, 10704, 1472, 519, 15423, 540, 5021, 12998, 540, 4427, 303, 322, 543, 4427, 301, 322, 6094, 8874, 267, 693, 476, 278, 1015, 543, 476, 24798, 16354, 6606, 269, 634, 12813, 8515, 729, 5833, 676, 10128, 519, 19034, 7455, 7222, 547, 4427, 303, 322, 12998, 1063, 476, 277, 5952, 543, 476, 278, 3393, 16354, 269, 901, 1505, 729, 1031, 547, 5659, 782, 5214, 4494, 588, 2931, 5627, 513, 4427, 301, 322, 844, 523, 4221, 4494, 269, 1280, 588, 2931, 1510, 4427, 301, 322, 844, 523, 4221, 4494, 630, 7224, 844, 523, 4221, 4494, 610, 513, 595, 2568, 844, 523, 4221, 4494, 1070, 513, 2582, 21714, 7455, 729, 1031, 547, 3514, 519, 8097, 12813, 5365, 543, 5173, 519, 7471, 8515, 563, 2750, 31842, 517, 5860, 13502, 543, 17501, 5650, 454, 2750, 31842, 517, 5860, 12632, 941, 20533, 676, 6746, 1227, 6061, 519, 11931, 15581, 835, 8820, 2300, 527, 517, 18236, 3830, 9168, 547, 6451, 954, 331, 9707, 1648, 4483, 630, 3225, 566, 630, 273, 26895, 589, 1871, 540, 476, 272, 269, 276, 16354, 6629, 274, 729, 1031, 585, 519, 7636, 5860, 540, 519, 1648, 3398, 528, 6543, 479, 288, 269, 634, 2300, 527, 517, 5108, 2557, 1627, 3287, 264, 729, 3144, 689, 519, 9804, 10338, 9043, 7229, 689, 513, 4483, 5119, 1505, 267, 1210, 9804, 21635, 6027, 676, 4715, 14029, 8084, 14248, 2354, 5852, 269, 634, 7471, 2300, 527, 517, 5860, 12632, 941, 10924, 547, 581, 2047, 14354, 547, 519, 12813, 8515, 267, 543, 1223, 4061, 581, 1031, 547, 3514, 519, 4603, 958, 5833, 12813, 12753, 269, 901, 17501, 729, 5340, 1210, 513, 2547, 1611, 10945, 17501, 5690, 267, 1210, 519, 2300, 527, 517, 18236, 3259, 543, 519, 674, 23152, 3122, 1648, 4483, 8953, 681, 271, 607, 17501, 6724, 269, 32114, 1648, 4483, 689, 4427, 303, 322, 547, 595, 2568, 568, 30050, 267, 519, 4427, 303, 322, 2300, 527, 517, 18236, 3259, 729, 1101, 13939, 689, 11098, 17466, 12813, 844, 523, 4221, 6901, 267, 1210, 513, 595, 2568, 844, 523, 4221, 4494, 630, 11045, 11915, 8431, 269, 476, 277, 1040, 589, 1871, 540, 476, 277, 16354, 729, 5833, 269, 901, 1871, 729, 13604, 1031, 538, 13502, 585, 5214, 4494, 588, 2931, 1519, 513, 838, 27468, 4494, 267, 1141, 681, 271, 729, 1031, 607, 17501, 9936, 269, 634, 595, 21990, 838, 27468, 4494, 543, 519, 21247, 14041, 941, 1312, 10924, 547, 1106, 1875, 6709, 523, 4221, 17103, 563, 1692, 547, 13712, 713, 2376, 281, 595, 333, 3591, 267, 918, 269, 1696, 620, 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 ]
[ 3323, 1010, 17535, 9035, 607, 513, 16048, 4357, 518, 20827, 676, 4789, 781, 3751, 5261, 8633, 547, 6968, 1524, 31503, 269, 1717, 267, 950, 32422, 3262, 934, 6748, 1864, 540, 4742, 513, 19266, 622, 5128, 267, 918, 1342, 30774, 1394, 547, 1715, 3840, 4975, 547, 5418, 611, 1010, 26454, 269, 10251, 267, 1346, 3646, 8959, 267, 543, 918, 1342, 6170, 519, 1964, 540, 1010, 2395, 29802, 538, 5507, 1141, 646, 5747, 676, 16304, 538, 476, 10204, 272, 269, 6736, 1010, 6811, 540, 26454, 267, 3140, 5638, 1397, 602, 918, 1342, 1705, 8197, 4497, 538, 6411, 540, 533, 16820, 2509, 519, 1439, 540, 1010, 4876, 269, 3571, 9661, 5713, 607, 513, 12576, 540, 875, 2653, 621, 1223, 581, 585, 25501, 547, 17277, 883, 7803, 2623, 1247, 693, 4262, 780, 8893, 476, 275, 281, 24553, 744, 262, 300, 531, 2917, 1107, 8581, 781, 674, 15127, 7256, 10348, 454, 24801, 21387, 294, 15869, 744, 262, 300, 531, 2917, 267, 849, 1634, 607, 6182, 5451, 514, 928, 715, 6403, 631, 327, 5451, 4068, 267, 5030, 1282, 519, 3735, 476, 1626, 628, 2540, 543, 3366, 513, 7415, 1272, 607, 513, 669, 773, 1111, 664, 612, 543, 9952, 13837, 13145, 2059, 8581, 781, 7262, 23795, 269, 2701, 10599, 1194, 15180, 804, 753, 267, 21775, 5370, 1063, 2342, 543, 519, 5664, 5101, 267, 543, 1219, 1221, 2296, 8128, 5275, 1852, 936, 9721, 11182, 269, 9282, 1200, 23339, 3006, 5887, 3293, 883, 10363, 2238, 267, 1352, 568, 15422, 811, 23816, 569, 982, 824, 31503, 1813, 547, 1200, 2178, 2631, 540, 14017, 543, 8990, 547, 2149, 1200, 22657, 780, 8893, 476, 276, 281, 2836, 4815, 10793, 681, 871, 5069, 1107, 5606, 18081, 3414, 11146, 543, 5975, 2001, 531, 454, 32458, 19030, 11990, 834, 9773, 4815, 10793, 257, 681, 871, 5069, 12236, 1010, 1747, 1851, 29200, 31503, 7064, 547, 1010, 1166, 3711, 1195, 656, 7802, 2511, 543, 1079, 4775, 12284, 2818, 267, 14732, 12844, 5500, 543, 6307, 3367, 269, 2991, 13830, 513, 3943, 6077, 17078, 523, 609, 3407, 18535, 267, 681, 871, 5069, 543, 1010, 12284, 9976, 741, 1967, 609, 2941, 1190, 5666, 540, 4568, 269, 901, 9863, 29070, 950, 3703, 17189, 4229, 8452, 267, 20414, 873, 1055, 9856, 269, 4107, 540, 519, 2367, 554, 573, 2630, 16064, 267, 1932, 26583, 547, 4339, 267, 4849, 585, 12844, 5500, 543, 3367, 945, 10692, 18979, 569, 7258, 741, 23071, 269, 11086, 9676, 543, 30992, 547, 13793, 267, 681, 871, 5069, 2451, 3297, 513, 9371, 6825, 676, 20729, 531, 267, 2648, 267, 543, 18979, 10100, 780, 6962, 281, 16497, 3231, 2740, 3245, 623, 597, 622, 22032, 454, 14343, 14945, 7437, 3695, 891, 19266, 622, 22808, 267, 649, 1451, 1271, 4245, 827, 20440, 267, 1379, 267, 543, 13919, 269, 3509, 2188, 8329, 547, 1142, 1367, 781, 3375, 547, 2490, 547, 533, 16820, 267, 971, 607, 2797, 24187, 267, 2804, 3255, 267, 610, 2123, 20494, 341, 1734, 269, 1635, 6313, 741, 5079, 543, 4539, 267, 649, 2744, 4030, 883, 1480, 2470, 543, 519, 10848, 4478, 7803, 2534, 269, 1924, 11876, 626, 519, 808, 14709, 23011, 543, 1305, 13743, 585, 7045, 28559, 2141, 1832, 835, 3750, 593, 519, 16880, 267, 13533, 540, 519, 829, 2812, 30443, 6362, 9944, 519, 6329, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 6136, 267, 596, 666, 1265, 1082, 14222, 2200, 593, 519, 1888, 596, 723, 6074, 269, 2659, 2243, 729, 711, 7357, 2312, 827, 799, 1826, 540, 1257, 596, 941, 10478, 585, 630, 12061, 12279, 267, 5708, 267, 12092, 267, 26249, 1070, 865, 594, 786, 2285, 596, 1896, 2200, 607, 513, 4358, 1448, 912, 272, 269, 21931, 540, 519, 5020, 540, 19291, 30463, 267, 606, 1977, 32013, 267, 18838, 676, 13924, 1345, 676, 19291, 30463, 269, 594, 1131, 1376, 609, 713, 26249, 269, 19291, 30463, 23012, 8474, 543, 5555, 2968, 835, 540, 519, 1034, 3532, 9739, 540, 519, 20552, 3350, 538, 519, 3345, 269, 2290, 540, 519, 3773, 13755, 4926, 540, 1210, 713, 1257, 568, 602, 552, 24687, 814, 1312, 519, 552, 17856, 543, 3875, 5885, 3817, 540, 2079, 543, 5758, 563, 273, 269, 1133, 2193, 8751, 781, 16410, 514, 676, 4498, 28625, 2142, 1815, 615, 853, 578, 324, 568, 5708, 543, 6645, 519, 1650, 540, 1614, 10437, 543, 741, 9620, 543, 23434, 269, 4173, 3209, 2968, 835, 540, 519, 1034, 2442, 2835, 693, 519, 942, 267, 609, 1082, 1004, 4947, 547, 1623, 12949, 1125, 609, 519, 24407, 2126, 540, 10437, 269, 1133, 2193, 8751, 781, 16410, 514, 3533, 2968, 519, 1034, 4922, 556, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 29521, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 595, 3234, 10904, 1299, 4934, 331, 9155, 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, 606, 3078, 1007, 3184, 782, 827, 24740, 256, 1411, 1522, 581, 11842, 267, 1018, 4010, 616, 24740, 286, 4270, 267, 4952, 596, 723, 513, 2462, 20220, 2407, 540, 17711, 602, 6585, 476, 3953, 13728, 269, 2659, 3659, 2501, 936, 543, 6499, 547, 917, 875, 1082, 6550, 540, 17711, 972, 616, 269, 7937, 1100, 256, 744, 684, 806, 543, 6550, 616, 1114, 4559, 585, 7893, 2597, 256, 1677, 4194, 713, 1966, 267, 596, 1131, 991, 547, 6460, 519, 13728, 883, 6550, 269, 2334, 781, 1141, 7503, 2188, 2097, 538, 13561, 269, 23586, 2188, 948, 721, 1689, 835, 1770, 540, 6482, 883, 1776, 1107, 789, 2811, 6310, 31930, 602, 666, 4688, 519, 1554, 950, 9236, 7403, 2439, 4131, 781, 4685, 4514, 883, 1620, 4559, 540, 6482, 269, 1703, 616, 1614, 1292, 6688, 281, 3259, 630, 3697, 6279, 267, 3952, 267, 18126, 267, 5195, 1070, 2597, 630, 3697, 10101, 267, 13728, 267, 6550, 1070, 543, 4390, 630, 3697, 18324, 9398, 267, 26486, 267, 11680, 267, 533, 6493, 267, 844, 11301, 267, 17529, 1040, 6884, 649, 2268, 1919, 1210, 3677, 4559, 267, 855, 3006, 4130, 3283, 960, 1732, 269, 1924, 6616, 875, 547, 6467, 1063, 873, 786, 948, 596, 5635, 9424, 811, 3362, 780, 3086, 1577, 781, 1451, 875, 547, 2965, 1685, 891, 9589, 24740, 256, 2913, 781, 2161, 649, 1616, 547, 1265, 856, 875, 1082, 11680, 616, 538, 476, 273, 844, 11301, 269, 4595, 972, 616, 476, 275, 11680, 538, 513, 14415, 267, 649, 1305, 909, 938, 3830, 899, 713, 1384, 273, 844, 11301, 6398, 4399, 2765, 346, 275, 1422, 3667, 26231, 5725, 12453, 272, 1422, 3667, 346, 32483, 22288, 815, 30269, 11680, 692, 763, 23479, 630, 1492, 2626, 264, 6645, 721, 602, 972, 616, 476, 279, 11680, 538, 476, 273, 844, 11301, 269, 30474, 3579, 267, 26001, 286, 18564, 875, 519, 968, 638, 11301, 892, 1770, 666, 26118, 856, 267, 6028, 1152, 11680, 3297, 269, 901, 4480, 1568, 1317, 14921, 676, 513, 6824, 568, 1175, 12270, 267, 865, 952, 649, 16212, 519, 2034, 6824, 26700, 1524, 543, 1287, 22599, 856, 9838, 4559, 267, 649, 1205, 938, 3803, 2626, 2439, 2080, 781, 1776, 1383, 5473, 2597, 281, 1215, 1082, 13728, 616, 972, 538, 476, 276, 6550, 286, 1284, 917, 602, 972, 616, 476, 1626, 13728, 538, 513, 11013, 267, 865, 938, 3830, 5654, 899, 713, 1384, 276, 6550, 6398, 4399, 2765, 346, 1626, 1422, 3667, 346, 25555, 12453, 272, 1422, 3667, 22669, 895, 22288, 815, 30269, 13728, 692, 2710, 532, 519, 9819, 3947, 721, 476, 3199, 13728, 538, 476, 276, 6550, 269, 4495, 1586, 267, 1294, 875, 519, 3312, 1770, 12462, 335, 2432, 14615, 7106, 8986, 1310, 23545, 566, 2496, 6524, 28277, 909, 267, 1934, 616, 930, 1883, 4388, 585, 3811, 24740, 1384, 265, 5269, 2386, 1312, 4559, 6474, 1354, 4259, 909, 707, 3830, 282, 6382, 267, 596, 1223, 1439, 909, 609, 11234, 2164, 563, 265, 3503, 1524, 519, 7503, 3815, 5402, 267, 4180, 602, 519, 2953, 2078, 6818, 1063, 519, 1079, 4559, 3238, 563, 265, 5457, 547, 2141, 1832, 3950, 540, 707, 3312, 7274, 543, 922, 2404, 1770, 2429, 1142, 9819, 780, 3528, 13215, 24740, 267, 596, 3513, 1831, 513, 627, 714, 693, 6061, 1483, 8996, 2042, 5473, 1585, 4559, 540, 6482, 269, 9578, 267, 1589, 540, 782, 1346, 2634, 2281, 3395, 6793, 1169, 942, 596, 2259, 14291, 256, 8414, 12719, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18131, 781, 1433, 3171, 553, 1043, 9119, 4083, 568, 856, 547, 9337, 4693, 267, 2597, 543, 2011, 2509, 20825, 269, 5638, 723, 909, 3368, 519, 2361, 269, 634, 23226, 540, 835, 6066, 7020, 543, 2146, 2861, 7045, 256, 2201, 5130, 1378, 267, 649, 1975, 11712, 519, 1433, 540, 18349, 540, 3879, 13577, 2068, 543, 2500, 21748, 267, 799, 12912, 476, 1015, 29468, 256, 2904, 1775, 1904, 519, 3440, 540, 707, 2011, 1560, 585, 2104, 286, 594, 11760, 4440, 1480, 538, 621, 269, 7454, 1613, 670, 9281, 308, 1433, 3171, 553, 1043, 585, 12939, 568, 711, 8825, 570, 16314, 2473, 11920, 267, 543, 938, 3391, 568, 1394, 24395, 730, 609, 621, 269, 962, 565, 7701, 267, 723, 596, 616, 1022, 946, 585, 2594, 5863, 899, 1044, 16674, 610, 670, 9281, 308, 286, 1284, 616, 5693, 2413, 609, 519, 3606, 4057, 4374, 543, 3502, 25964, 1895, 269, 594, 723, 769, 1898, 609, 519, 1433, 3171, 553, 1043, 9119, 4083, 476, 1960, 276, 267, 751, 322, 5371, 657, 7357, 1394, 256, 476, 277, 962, 784, 343, 532, 10003, 267, 18708, 329, 514, 11633, 1236, 8403, 267, 808, 1231, 327, 14241, 10588, 267, 2098, 26907, 345, 17924, 267, 3624, 269, 4208, 1711, 594, 616, 547, 2061, 513, 26480, 307, 6224, 288, 286, 17640, 519, 26480, 307, 6224, 288, 2337, 596, 616, 513, 13598, 543, 11562, 1218, 596, 11213, 1433, 3171, 553, 1043, 9119, 547, 519, 1641, 2069, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3519, 951, 687, 257, 607, 851, 540, 834, 21316, 30388, 1315, 20970, 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, 5149, 476, 277, 281, 966, 17448, 1977, 667, 17143, 338, 910, 589, 570, 4292, 540, 715, 739, 28101, 692, 7072, 912, 1103, 519, 1158, 540, 11477, 6575, 267, 28916, 3180, 513, 2027, 1747, 269, 1358, 616, 1419, 519, 3803, 4063, 538, 1022, 7594, 267, 6028, 513, 9434, 12705, 593, 7188, 619, 269, 769, 3013, 781, 3638, 11477, 1686, 267, 21305, 28916, 1404, 513, 1713, 1909, 267, 8204, 2686, 6561, 543, 2757, 2418, 269, 901, 1770, 12538, 883, 519, 4241, 7706, 540, 21305, 1977, 28916, 267, 3695, 741, 8129, 267, 5820, 267, 7041, 2553, 267, 543, 2413, 14624, 780, 272, 269, 634, 17959, 540, 966, 17448, 1977, 667, 17143, 338, 912, 13563, 18397, 2528, 814, 1044, 8185, 6766, 676, 1585, 19366, 2516, 2429, 1686, 269, 3245, 2296, 4829, 31817, 547, 4436, 4563, 11206, 25394, 267, 891, 16865, 10346, 941, 9862, 547, 2199, 16919, 543, 5820, 267, 2870, 2189, 1977, 27825, 269, 3683, 942, 267, 6237, 7648, 7153, 267, 10452, 519, 3309, 6694, 3132, 543, 2686, 9163, 2066, 519, 2197, 780, 273, 269, 27748, 545, 966, 17448, 1977, 667, 17143, 338, 912, 320, 264, 11197, 26629, 281, 1323, 30118, 1738, 3090, 540, 1977, 11951, 267, 11945, 2650, 7389, 1394, 547, 7810, 2053, 950, 3864, 13896, 4547, 741, 11256, 5389, 547, 519, 1715, 2622, 269, 17214, 609, 4195, 13212, 267, 855, 6670, 12933, 267, 4006, 267, 543, 14546, 267, 713, 4313, 532, 18397, 3788, 2442, 2221, 563, 321, 264, 11785, 31201, 26629, 281, 6736, 922, 2012, 267, 713, 11599, 18397, 568, 2965, 513, 14735, 4904, 609, 8169, 731, 543, 547, 5529, 609, 10217, 1350, 10270, 269, 4706, 5169, 15244, 1394, 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 ]
[ 729, 849, 688, 6150, 676, 634, 8648, 607, 834, 821, 540, 519, 4557, 1655, 1875, 27395, 2835, 540, 519, 1032, 8487, 18250, 300, 22395, 729, 519, 2489, 9375, 540, 519, 10228, 16503, 3603, 3778, 540, 8567, 602, 729, 3370, 538, 476, 1960, 271, 269, 898, 729, 513, 1655, 22673, 609, 5140, 14046, 4441, 563, 763, 1079, 31891, 5783, 543, 5980, 538, 20640, 7570, 31588, 1722, 5333, 3370, 538, 476, 1960, 279, 834, 10517, 637, 757, 606, 11999, 9740, 257, 607, 4080, 676, 31434, 22895, 10045, 540, 23497, 3557, 2160, 269, 898, 568, 1079, 12531, 267, 811, 982, 476, 8182, 271, 3817, 540, 1257, 25643, 2185, 5481, 540, 840, 3146, 23728, 776, 5333, 543, 519, 7583, 332, 1588, 540, 811, 982, 476, 2004, 1296, 540, 1382, 563, 1103, 476, 1220, 273, 5062, 300, 22395, 3370, 519, 17770, 7240, 674, 639, 559, 1512, 281, 1234, 3712, 27928, 543, 14484, 687, 267, 476, 4350, 280, 1700, 3707, 276, 25643, 1010, 2833, 1282, 519, 2112, 563, 14367, 3803, 1433, 267, 2353, 27804, 3149, 543, 519, 26676, 2917, 8865, 267, 476, 5197, 279, 1700, 8687, 271, 13006, 606, 2038, 268, 866, 628, 10601, 3023, 29317, 693, 2353, 27804, 3149, 5441, 269, 1879, 3257, 20775, 1382, 5062, 300, 22395, 1336, 513, 20177, 17142, 540, 5022, 602, 2968, 519, 4493, 585, 713, 1433, 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 ]
[ 10220, 10274, 13500, 998, 1697, 8193, 543, 536, 3739, 2409, 1247, 4509, 11413, 1063, 9439, 543, 1202, 20445, 780, 8139, 8193, 267, 536, 3739, 267, 543, 10220, 2337, 1711, 5347, 8852, 1063, 3782, 7426, 543, 6142, 3549, 269, 9453, 891, 1898, 2609, 267, 5883, 18083, 1223, 1831, 26093, 543, 14845, 269, 1924, 1985, 942, 596, 3643, 707, 4387, 267, 3314, 602, 3297, 1169, 13393, 6013, 513, 1950, 2943, 4241, 1158, 540, 9479, 267, 12014, 267, 543, 3652, 2324, 1927, 16900, 547, 1489, 2298, 1416, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16032, 10076, 2657, 12229, 454, 2252, 596, 616, 3168, 585, 513, 3102, 2790, 1072, 1062, 602, 666, 25340, 8831, 707, 3914, 543, 3178, 540, 2790, 1072, 2259, 267, 543, 17867, 1416, 267, 1287, 596, 616, 693, 519, 1318, 1747, 269, 6153, 293, 8787, 2488, 596, 519, 17048, 540, 519, 1655, 2790, 1072, 3435, 602, 723, 2699, 18249, 2618, 17226, 543, 8118, 909, 13778, 3255, 585, 5355, 2790, 1416, 563, 1432, 568, 2790, 1072, 3301, 888, 26045, 1072, 3301, 568, 513, 1305, 540, 3156, 609, 13838, 12799, 2966, 585, 2413, 8965, 1072, 7426, 267, 1519, 16895, 267, 24004, 28748, 267, 16293, 267, 543, 1866, 267, 547, 4217, 873, 538, 8156, 2550, 585, 4101, 22074, 1644, 547, 8213, 267, 2790, 9124, 267, 543, 4713, 269, 2060, 2934, 971, 607, 15873, 532, 267, 28597, 31524, 267, 661, 6261, 637, 18587, 267, 15444, 305, 27582, 16281, 267, 15928, 5004, 267, 6481, 645, 3739, 267, 21111, 5800, 531, 267, 21111, 16680, 267, 18614, 267, 3092, 269, 513, 2790, 1072, 1907, 568, 2966, 547, 5838, 11108, 17867, 1416, 269, 3414, 4359, 12642, 267, 2790, 1309, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 5317, 543, 645, 3739, 28597, 257, 607, 851, 540, 834, 25503, 1315, 6657, 5004, 1299, 1234, 12494, 9309, 618, 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, 5269, 513, 8738, 337, 1092, 6428, 611, 609, 2107, 5190, 543, 4173, 2125, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 8624, 937, 782, 519, 2556, 5820, 585, 1818, 513, 16802, 532, 3276, 337, 1092, 19997, 609, 24453, 543, 11922, 269, 1411, 786, 991, 912, 268, 476, 273, 11084, 540, 3276, 337, 1092, 10381, 630, 19925, 476, 279, 12063, 994, 268, 476, 274, 14255, 767, 610, 1973, 24453, 454, 268, 476, 272, 1507, 2699, 22323, 267, 6094, 569, 30000, 454, 268, 476, 272, 7484, 6404, 11922, 630, 7945, 607, 24958, 267, 16163, 2917, 267, 20511, 267, 610, 524, 816, 1070, 22872, 454, 268, 23448, 20424, 14462, 3282, 267, 547, 6492, 454, 268, 4469, 21294, 4262, 6070, 267, 547, 6492, 454, 268, 18610, 569, 2666, 3109, 14723, 267, 547, 6492, 454, 268, 8838, 1308, 281, 16760, 2699, 14723, 1166, 1389, 267, 536, 1023, 25271, 1350, 10270, 692, 3721, 476, 273, 281, 16259, 519, 2107, 5190, 454, 20228, 823, 1055, 1312, 7475, 540, 519, 24453, 269, 4635, 513, 8325, 17180, 267, 2759, 2476, 519, 22019, 543, 533, 603, 540, 519, 24453, 267, 13031, 1152, 519, 30861, 17145, 269, 6215, 823, 873, 883, 21448, 610, 12311, 2471, 267, 4470, 2390, 707, 13283, 269, 5590, 11735, 780, 3721, 476, 274, 281, 1306, 14517, 519, 12476, 540, 519, 6428, 611, 454, 16521, 513, 1804, 726, 2660, 610, 13719, 12826, 547, 13686, 707, 7524, 5137, 269, 3399, 2679, 519, 3490, 540, 707, 19997, 676, 25786, 519, 30000, 24453, 2066, 519, 5377, 540, 519, 7674, 2264, 269, 5410, 519, 6094, 569, 30000, 2699, 19637, 14961, 936, 519, 1283, 540, 519, 11231, 20521, 21100, 269, 901, 4999, 8591, 2067, 29284, 1247, 3246, 513, 29511, 344, 9403, 780, 3721, 476, 275, 281, 570, 792, 18766, 519, 8738, 337, 1092, 4258, 3150, 454, 22512, 2685, 15237, 6306, 519, 10347, 3276, 337, 1092, 10381, 883, 4130, 4773, 1210, 707, 3946, 610, 1079, 838, 9398, 269, 9255, 891, 27598, 2849, 17632, 2429, 519, 19997, 267, 26084, 873, 14477, 10838, 519, 24453, 543, 19637, 269, 8347, 6028, 930, 3677, 25098, 16856, 547, 2226, 3308, 9029, 543, 1683, 1114, 18282, 950, 4189, 780, 3721, 476, 276, 281, 17897, 2060, 17865, 267, 3212, 3899, 267, 543, 29106, 13813, 454, 7049, 2730, 569, 5671, 14794, 1164, 7779, 3063, 20424, 14462, 3282, 936, 519, 3003, 2627, 1858, 540, 519, 19997, 269, 14109, 30257, 1166, 21294, 4262, 6070, 543, 28448, 29618, 3109, 14723, 547, 9290, 707, 2123, 6492, 7375, 269, 5457, 602, 713, 4005, 532, 10597, 1169, 12146, 267, 865, 1810, 1405, 1236, 11069, 856, 256, 26840, 958, 267, 952, 596, 7287, 3002, 267, 20057, 548, 930, 16760, 2699, 14723, 1166, 1389, 29691, 519, 20100, 780, 3721, 476, 277, 281, 2480, 2660, 932, 641, 6244, 4173, 2125, 3683, 519, 5440, 454, 10214, 569, 15814, 519, 25819, 540, 29656, 22872, 11922, 971, 607, 24958, 267, 16163, 2917, 267, 20511, 267, 610, 524, 816, 2066, 519, 2898, 19997, 269, 1452, 29549, 16719, 21592, 519, 2949, 8137, 9043, 1247, 5356, 1402, 338, 540, 6505, 3039, 24698, 1996, 519, 20457, 540, 2571, 16543, 543, 12050, 24453, 780, 3721, 476, 278, 281, 31160, 8056, 2664, 2299, 610, 4676, 3419, 4733, 6969, 4419, 532, 454, 2252, 2009, 267, 4196, 519, 3276, 337, 1092, 19997, 5612, 1310, 8600, 585, 6099, 4195, 1145, 543, 6881, 269, 1717, 267, 952, 2877, 267, 12104, 4733, 519, 5667, 5703, 6712, 585, 2663, 4616, 269, 5901, 538, 2247, 602, 669, 3739, 519, 19997, 949, 7369, 922, 5920, 5594, 1813, 547, 16617, 282, 4061, 267, 2015, 7996, 2394, 1175, 1354, 7674, 547, 21959, 880, 609, 11922, 543, 4005, 902, 780, 3721, 476, 279, 281, 11426, 1436, 14313, 454, 7476, 3860, 609, 707, 1378, 1491, 593, 713, 632, 937, 762, 19997, 256, 18461, 1863, 547, 12990, 610, 6451, 3606, 3334, 1759, 593, 8192, 9993, 610, 8244, 540, 5820, 269, 2368, 10372, 1331, 2655, 23082, 4779, 3960, 732, 12848, 610, 13284, 27198, 3079, 540, 3276, 337, 1092, 267, 2220, 6260, 18812, 26258, 610, 8126, 518, 1149, 585, 24453, 267, 610, 6220, 25636, 267, 10808, 267, 5452, 267, 610, 2890, 26572, 839, 269, 3807, 3314, 547, 3666, 10366, 267, 18282, 267, 543, 4778, 585, 513, 17396, 5888, 269, 17949, 19234, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 584, 337, 1092, 6428, 611, 609, 10538, 543, 11922, 568, 513, 4334, 540, 6492, 543, 4778, 269, 634, 21066, 6653, 6492, 543, 24253, 24710, 616, 3388, 596, 991, 593, 519, 9702, 3349, 563, 293, 3306, 543, 18136, 267, 519, 3276, 337, 1092, 19997, 609, 24453, 543, 11922, 568, 513, 8949, 8670, 585, 1022, 8317, 269, 589, 1360, 2653, 11600, 267, 2656, 547, 5965, 267, 543, 5140, 547, 4196, 607, 606, 12608, 6500, 610, 513, 1292, 8670, 563, 21946, 6758, 616, 2141, 15874, 267, 2523, 585, 1346, 945, 723, 2370, 942, 538, 519, 10051, 543, 3112, 6108, 3108, 5986, 269, 898, 568, 519, 3501, 8670, 585, 1346, 945, 4782, 4195, 543, 2656, 8286, 269, 634, 3276, 337, 1092, 19997, 609, 24453, 543, 11922, 568, 2653, 547, 5965, 609, 2635, 5820, 543, 513, 2370, 9345, 269, 4746, 267, 596, 666, 21160, 543, 1711, 707, 25235, 2687, 547, 707, 16919, 676, 4946, 610, 13868, 1018, 596, 899, 1655, 2336, 1607, 19997, 568, 3638, 538, 5820, 543, 1058, 849, 581, 6039, 607, 513, 2582, 8670, 269, 898, 568, 4195, 543, 10477, 543, 568, 3501, 585, 513, 1769, 12129, 585, 1346, 945, 798, 711, 1616, 547, 2285, 909, 593, 6492, 855, 1616, 547, 3251, 538, 3337, 1510, 1082, 6615, 1470, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 22479, 516, 572, 6428, 611, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 6428, 6758, 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, 8702, 547, 938, 1576, 1770, 782, 827, 16542, 543, 5698, 538, 519, 4928, 256, 5620, 596, 2479, 5249, 593, 513, 1788, 609, 707, 2828, 610, 15032, 1354, 286, 9320, 596, 4312, 1185, 547, 1628, 1945, 1927, 585, 2257, 1362, 267, 610, 1711, 513, 6881, 585, 1514, 2090, 269, 1879, 649, 960, 1927, 899, 713, 267, 621, 781, 1572, 23712, 269, 1656, 950, 3610, 1544, 4245, 1141, 1053, 666, 12840, 543, 1451, 689, 1142, 824, 267, 621, 781, 1572, 10319, 3450, 780, 3719, 1018, 4523, 952, 930, 3214, 616, 2348, 8373, 5329, 909, 609, 519, 1895, 1317, 519, 960, 568, 1932, 2182, 610, 789, 991, 811, 942, 286, 2334, 781, 1141, 21630, 6044, 2501, 538, 269, 901, 1797, 602, 3610, 1689, 741, 3450, 2409, 543, 10467, 865, 602, 1169, 2875, 666, 1174, 543, 7119, 267, 1100, 2339, 875, 2653, 610, 4101, 519, 960, 1522, 581, 780, 3086, 1577, 781, 1589, 827, 875, 713, 13462, 547, 519, 1158, 3564, 519, 4928, 269, 1306, 649, 1332, 909, 267, 649, 8275, 602, 972, 616, 6266, 540, 2081, 602, 1004, 1995, 15490, 2126, 1759, 593, 1919, 899, 519, 2681, 540, 741, 2960, 267, 1141, 789, 2097, 689, 267, 610, 875, 1454, 2724, 741, 3885, 723, 269, 1452, 5686, 540, 15490, 5574, 616, 1572, 10168, 543, 7130, 780, 3080, 1259, 547, 4339, 1996, 10168, 568, 998, 1945, 1572, 4550, 268, 2350, 1143, 269, 14640, 268, 2350, 1143, 1797, 8362, 2324, 547, 1439, 7292, 8635, 543, 5009, 14619, 543, 5126, 585, 3025, 269, 1924, 875, 1281, 713, 9305, 1394, 547, 2069, 543, 10319, 3450, 286, 4270, 267, 4952, 513, 4928, 1141, 1169, 2875, 7959, 12595, 543, 15197, 267, 7488, 540, 741, 4282, 610, 3961, 269, 589, 4928, 1141, 3610, 946, 21630, 6044, 547, 2327, 602, 782, 1053, 666, 8011, 543, 3565, 547, 519, 1565, 2146, 269, 1635, 5807, 513, 11215, 543, 8537, 1604, 267, 7855, 666, 948, 1053, 1020, 6568, 267, 1620, 267, 543, 24343, 338, 1222, 2509, 1346, 945, 3068, 11528, 7496, 543, 12886, 780, 4131, 781, 1413, 693, 606, 1383, 269, 5994, 513, 1686, 3992, 827, 519, 6406, 7126, 11873, 538, 519, 2136, 2276, 269, 5502, 540, 1175, 2542, 827, 4583, 3401, 899, 9410, 13162, 3751, 12789, 1421, 1946, 711, 849, 2263, 2984, 540, 14758, 8153, 15628, 945, 10692, 585, 7862, 538, 741, 1378, 2950, 286, 4841, 1223, 1287, 2736, 883, 1507, 2516, 543, 1382, 835, 540, 891, 2199, 12325, 269, 3962, 1895, 1131, 2099, 3309, 5380, 543, 2833, 267, 3850, 873, 547, 2671, 2189, 4030, 1282, 5717, 269, 3414, 713, 10319, 1184, 267, 1053, 786, 15052, 741, 1620, 540, 3140, 2621, 1247, 8026, 1271, 1983, 971, 607, 2565, 3206, 267, 2792, 267, 543, 6568, 780, 1103, 3932, 267, 676, 6220, 10319, 3450, 543, 21630, 6044, 4485, 883, 938, 13460, 267, 649, 1711, 3255, 585, 1053, 547, 4497, 538, 6209, 1565, 2833, 602, 3895, 13784, 267, 2463, 267, 543, 1514, 4656, 269, 8625, 267, 649, 666, 4161, 22457, 3889, 543, 1628, 513, 17321, 2104, 585, 3025, 269, 2913, 781, 3136, 3695, 1007, 2081, 547, 1489, 1142, 824, 543, 8661, 938, 3604, 1107, 1310, 782, 267, 3884, 1405, 602, 1018, 2306, 721, 2178, 607, 513, 2319, 543, 607, 513, 2486, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4407, 21679, 609, 519, 5046, 268, 866, 6855, 543, 519, 5571, 7292, 1242, 267, 4550, 5174, 331, 871, 5208, 267, 909, 5142, 902, 1472, 519, 4182, 723, 9250, 4550, 268, 2350, 1143, 883, 2442, 9637, 543, 11407, 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 ]
[ 685, 8226, 267, 1565, 4093, 267, 543, 8404, 563, 763, 17191, 4093, 540, 713, 1382, 1331, 513, 4514, 1620, 540, 519, 7145, 540, 10531, 10004, 536, 1824, 538, 14123, 5214, 2257, 2069, 269, 5015, 267, 519, 1353, 6663, 547, 2697, 519, 2188, 602, 3565, 547, 3811, 5610, 543, 6388, 540, 10004, 536, 1824, 538, 3872, 5468, 267, 971, 607, 2875, 6278, 267, 5042, 4452, 267, 543, 24099, 1374, 9270, 563, 268, 22685, 5406, 540, 5841, 4987, 630, 9590, 264, 1759, 9441, 1995, 630, 7417, 311, 264, 26962, 454, 268, 13378, 21538, 538, 4395, 1467, 2533, 543, 6075, 1995, 281, 1323, 10236, 31532, 5133, 454, 268, 968, 2005, 779, 593, 922, 1259, 27535, 13378, 21538, 4294, 585, 2228, 1426, 6765, 2533, 267, 1514, 610, 4305, 15129, 5872, 2511, 888, 268, 589, 5619, 593, 2282, 25993, 17187, 8069, 454, 268, 17130, 15129, 5288, 269, 1514, 15129, 281, 30292, 2792, 6163, 538, 5907, 16450, 3028, 6051, 0, 2026, 476, 1708, 275, 4652, 9529, 267, 519, 13287, 540, 15777, 267, 8902, 2011, 538, 938, 5321, 3788, 811, 4105, 982, 2479, 269, 4197, 519, 1655, 2853, 585, 1625, 4328, 11255, 2011, 568, 1898, 547, 4180, 513, 8902, 2713, 1604, 269, 901, 2376, 7710, 519, 1283, 5722, 2409, 585, 8236, 15777, 2011, 538, 707, 1753, 269, 3245, 2834, 2011, 2298, 4152, 547, 12561, 3039, 7738, 2853, 267, 649, 3580, 3391, 596, 998, 4052, 543, 2500, 2994, 602, 666, 1118, 513, 1713, 3017, 538, 519, 2298, 540, 519, 2011, 596, 13236, 1169, 1554, 563, 272, 269, 8617, 5794, 10866, 13281, 912, 763, 1101, 1900, 547, 15777, 2011, 568, 1620, 1018, 596, 2461, 7231, 609, 269, 8617, 2011, 2298, 4152, 568, 2629, 269, 2060, 589, 304, 290, 779, 1753, 1449, 20164, 267, 596, 666, 3362, 6895, 2157, 540, 9044, 267, 23480, 267, 543, 2234, 517, 1107, 1455, 27521, 338, 540, 4057, 2011, 2298, 269, 1452, 4255, 711, 1152, 7866, 519, 4527, 540, 14107, 855, 849, 948, 538, 9477, 519, 7145, 540, 707, 2011, 2298, 6454, 3800, 563, 273, 269, 24046, 20764, 7976, 912, 14187, 14910, 568, 1883, 547, 4227, 11255, 14107, 269, 769, 476, 1708, 275, 267, 649, 4363, 12561, 5100, 14910, 1949, 602, 4188, 25312, 8850, 1759, 593, 11255, 2011, 2298, 13220, 269, 11822, 2853, 899, 6679, 9486, 5781, 267, 1210, 9688, 11655, 538, 8602, 7741, 543, 6539, 29353, 267, 543, 4180, 707, 25256, 1062, 568, 1134, 31720, 22633, 666, 849, 1118, 513, 1713, 3017, 563, 274, 269, 5455, 14079, 547, 16777, 5183, 8606, 1562, 912, 4047, 5183, 630, 14683, 3887, 11797, 28634, 2011, 264, 12086, 616, 2484, 1732, 12376, 656, 3032, 7129, 982, 2757, 1753, 2011, 12086, 4340, 547, 519, 16501, 267, 16777, 5183, 968, 1515, 12086, 666, 27985, 4894, 693, 2547, 476, 4200, 269, 9032, 260, 540, 7452, 267, 14947, 267, 9044, 267, 4551, 267, 543, 1022, 23197, 5536, 892, 689, 707, 1753, 563, 275, 269, 6513, 9966, 7190, 20946, 912, 31010, 6099, 11195, 2157, 630, 24992, 476, 1789, 268, 2004, 8472, 568, 1898, 538, 7303, 9044, 2208, 543, 7452, 21746, 269, 1546, 21065, 573, 13294, 610, 18519, 13294, 267, 4470, 593, 707, 2916, 267, 666, 948, 2226, 891, 2157, 269, 4746, 267, 581, 21713, 827, 21338, 20984, 543, 5466, 14927, 1145, 2152, 538, 2127, 899, 3490, 906, 543, 8602, 7741, 563, 276, 269, 5682, 27686, 13756, 912, 305, 14445, 532, 519, 946, 540, 10792, 3114, 2973, 619, 543, 20851, 11169, 666, 3648, 2087, 11255, 2011, 2298, 269, 769, 476, 1708, 275, 267, 649, 5000, 519, 946, 540, 10357, 7888, 267, 1875, 3562, 13877, 7738, 2472, 269, 3958, 267, 6220, 11255, 2371, 666, 6923, 1625, 1518, 519, 2011, 267, 609, 930, 2249, 1634, 585, 741, 2702, 547, 10110, 14107, 563, 277, 269, 8891, 5516, 543, 30719, 912, 2690, 5321, 609, 10130, 267, 2834, 25462, 543, 28876, 540, 10130, 666, 2569, 519, 2179, 540, 4620, 546, 6387, 543, 4552, 538, 519, 2011, 269, 4746, 267, 4509, 2973, 4620, 28945, 543, 2713, 2127, 666, 3648, 2087, 2011, 2298, 563, 278, 269, 3447, 622, 543, 12833, 9876, 634, 19940, 7731, 912, 7661, 267, 18997, 782, 7622, 2818, 827, 519, 2956, 540, 2973, 2011, 2853, 568, 2629, 907, 11559, 6208, 899, 14656, 9885, 543, 9486, 1282, 1164, 14947, 2395, 267, 9427, 10887, 693, 519, 7450, 267, 543, 5329, 519, 2713, 2230, 22619, 344, 563, 8620, 513, 2657, 1512, 12389, 5113, 538, 476, 1708, 275, 454, 3849, 641, 1154, 891, 2853, 538, 476, 1708, 275, 666, 1291, 596, 547, 513, 1753, 609, 15777, 267, 23906, 615, 2011, 267, 7700, 3648, 547, 707, 2949, 1072, 543, 1134, 5630, 269, 2311, 5794, 10866, 13693, 1218, 267, 649, 616, 8149, 547, 5885, 596, 538, 713, 20089, 609, 938, 11255, 2011, 4152, 2533, 269, 5457, 267, 15777, 2011, 568, 711, 513, 17195, 267, 855, 513, 13766, 585, 513, 8902, 1272, 269, 1403, 596, 723, 2055, 827, 1022, 540, 891, 5722, 2853, 267, 5225, 1810, 1406, 19292, 547, 3346, 721, 2221, 269, 0, 763, 2832, 540, 519, 1788, 568, 547, 7668, 10349, 266, 1004, 267, 2523, 1762, 4079, 7680, 7130, 543, 5208, 269, 2048, 763, 1514, 3510, 540, 10349, 288, 1004, 538, 12996, 585, 476, 1001, 280, 268, 1708, 271, 685, 1867, 607, 540, 476, 1708, 272, 2982, 602, 519, 3510, 540, 10349, 266, 1004, 538, 12996, 568, 1360, 2352, 269, 20290, 3368, 540, 891, 1004, 723, 2589, 540, 4965, 267, 543, 7864, 543, 7864, 3442, 547, 2097, 856, 269, 476, 4391, 260, 540, 891, 7606, 723, 711, 31889, 741, 4008, 3961, 610, 4638, 10066, 547, 4896, 538, 741, 1920, 269, 3194, 2982, 513, 3095, 1063, 7130, 543, 19591, 2589, 267, 2539, 1582, 12635, 543, 2539, 1272, 9547, 269, 476, 7871, 260, 540, 1346, 23500, 723, 4810, 513, 13842, 6760, 543, 519, 8167, 540, 1004, 7680, 4638, 5208, 814, 24111, 547, 476, 2420, 18336, 11997, 267, 538, 713, 1788, 649, 616, 2519, 593, 3106, 267, 7682, 4369, 543, 14304, 519, 2631, 540, 2146, 540, 10349, 266, 1004, 269, 1306, 851, 540, 519, 1788, 267, 649, 616, 3384, 519, 10872, 540, 519, 26321, 9255, 1107, 10349, 266, 10418, 538, 654, 10635, 22119, 1177, 267, 3358, 547, 519, 2115, 540, 519, 10349, 266, 2146, 269, 1284, 2196, 7682, 4369, 543, 1582, 12413, 775, 11925, 585, 10349, 266, 1004, 269, 1284, 1418, 1047, 11401, 540, 519, 2048, 9558, 8001, 685, 1895, 585, 19574, 1004, 543, 741, 14077, 543, 519, 2048, 305, 664, 11312, 772, 3387, 20255, 685, 1895, 585, 1762, 10349, 266, 4079, 269, 1284, 4163, 856, 513, 3126, 540, 11925, 896, 519, 2138, 1729, 2048, 2750, 12304, 3054, 685, 543, 1646, 11925, 267, 1519, 1560, 960, 269, 769, 1840, 267, 649, 616, 4881, 606, 2228, 5859, 827, 10349, 266, 3106, 269, 1284, 2936, 519, 1788, 5631, 538, 654, 10635, 22119, 1177, 267, 855, 849, 538, 519, 13722, 590, 3796, 1014, 543, 30240, 16899, 269, 769, 519, 1788, 2238, 1004, 609, 9124, 267, 20404, 543, 15076, 616, 849, 3238, 269, 0, 2171, 666, 2328, 513, 14069, 13214, 1210, 519, 10799, 532, 1599, 547, 2824, 519, 3169, 4773, 540, 1344, 2877, 538, 513, 2361, 269, 13689, 593, 519, 6538, 649, 1131, 946, 2901, 519, 590, 18510, 22552, 3890, 610, 590, 18510, 22552, 5058, 3890, 2409, 269, 20290, 782, 14069, 12240, 786, 946, 835, 610, 519, 824, 563, 2171, 666, 1413, 693, 519, 1739, 16105, 1806, 912, 302, 20432, 14069, 16522, 1314, 454, 10345, 22268, 590, 18510, 22552, 263, 283, 26383, 12173, 285, 267, 283, 11034, 318, 6570, 285, 267, 283, 30726, 28747, 285, 264, 6789, 28758, 11243, 20978, 7305, 3248, 21415, 18218, 16522, 1314, 454, 10345, 22268, 590, 18510, 22552, 5058, 263, 283, 26383, 12173, 285, 267, 283, 11034, 318, 6570, 285, 267, 283, 30726, 28747, 285, 264, 6789, 28758, 11243, 20978, 7305, 3248, 303, 24411, 6201, 540, 4427, 11415, 454, 2005, 779, 1271, 547, 4063, 602, 519, 4358, 2990, 666, 849, 581, 513, 2942, 1871, 269, 901, 2636, 721, 547, 10799, 532, 3197, 693, 519, 1439, 540, 513, 2361, 2864, 982, 519, 4098, 269, 1306, 606, 1383, 952, 649, 4941, 519, 2063, 1915, 538, 513, 5569, 649, 1223, 798, 519, 1739, 912, 10345, 22268, 590, 18510, 22552, 5058, 30044, 8624, 4379, 16427, 272, 267, 272, 264, 6789, 7831, 23322, 20978, 7305, 3248, 4131, 779, 4952, 513, 9183, 1141, 649, 991, 513, 1007, 2361, 269, 1284, 1152, 1616, 547, 723, 519, 3355, 338, 540, 513, 6075, 585, 4159, 5301, 269, 1284, 1223, 2328, 513, 14069, 13214, 547, 798, 602, 1247, 1210, 519, 10799, 532, 1599, 269, 4635, 513, 14069, 924, 6538, 538, 667, 6826, 11232, 649, 666, 9585, 938, 4305, 899, 519, 1739, 563, 2414, 19472, 519, 3977, 649, 666, 1039, 1394, 538, 519, 1101, 2012, 543, 2063, 2012, 4610, 547, 2070, 519, 2164, 563, 1607, 568, 1175, 835, 540, 1082, 3096, 585, 590, 18510, 22552, 5058, 269, 8616, 1776, 1390, 14069, 1599, 547, 1039, 547, 519, 1907, 1532, 3881, 563, 29806, 32438, 1299, 4033, 2422, 27418, 454, 27269, 2053, 267, 519, 590, 18510, 22552, 5058, 1505, 568, 1031, 538, 14966, 609, 824, 3252, 971, 607, 700, 2894, 294, 8025, 610, 29187, 299, 19781, 269, 2986, 1576, 267, 713, 782, 5673, 593, 519, 946, 2013, 269, 1703, 616, 1082, 4128, 1946, 649, 1522, 1616, 547, 946, 590, 18510, 22552, 5058, 1519, 267, 855, 711, 3908, 547, 912, 268, 1677, 1349, 1101, 543, 2063, 4408, 689, 513, 2407, 2012, 2361, 454, 268, 1677, 1349, 3355, 338, 585, 513, 2012, 454, 268, 1677, 1349, 4757, 1344, 689, 513, 2361, 454, 268, 1677, 16013, 2361, 1239, 454, 268, 634, 1592, 4422, 593, 1862, 0, 763, 3450, 538, 519, 670, 732, 543, 519, 32202, 18857, 1650, 568, 711, 1018, 519, 1158, 6499, 596, 547, 917, 267, 855, 538, 519, 9035, 540, 519, 670, 732, 950, 646, 3576, 513, 3826, 615, 689, 519, 5198, 563, 2171, 782, 1224, 519, 1650, 538, 9656, 540, 519, 670, 732, 543, 519, 32202, 18857, 269, 15526, 2429, 519, 1158, 8952, 4758, 519, 1383, 540, 519, 32202, 18857, 267, 6031, 602, 3500, 543, 11931, 17993, 519, 5198, 267, 1358, 11168, 519, 1871, 540, 18094, 543, 11428, 563, 3719, 2507, 1100, 835, 814, 2479, 536, 6139, 1042, 547, 1224, 519, 9210, 559, 4084, 610, 2307, 519, 670, 732, 1010, 2427, 540, 519, 1650, 269, 1215, 1705, 646, 1745, 1310, 9561, 888, 2171, 1558, 519, 670, 732, 543, 2893, 1524, 609, 1864, 585, 513, 2295, 3562, 13463, 691, 2911, 563, 1607, 568, 1018, 646, 1185, 547, 2161, 1310, 649, 6170, 519, 1732, 851, 540, 513, 2545, 3240, 4832, 12784, 3478, 547, 917, 835, 824, 563, 2005, 729, 606, 3750, 19945, 2287, 1995, 267, 3494, 803, 563, 2080, 568, 519, 670, 732, 779, 2272, 538, 1010, 1378, 1913, 563, 8133, 267, 594, 993, 519, 688, 516, 945, 4503, 563, 5591, 267, 594, 1705, 711, 1205, 27823, 610, 5360, 8809, 563, 4131, 803, 2491, 563, 296, 729, 5577, 4771, 936, 519, 803, 27595, 2282, 519, 15113, 543, 6743, 1394, 547, 8275, 602, 519, 12475, 18857, 729, 24076, 547, 581, 2938, 563, 10112, 3293, 540, 1250, 2635, 1291, 267, 594, 4956, 547, 1491, 513, 2110, 23040, 896, 519, 1804, 536, 1415, 534, 3529, 2282, 519, 11432, 563, 763, 24736, 540, 519, 5198, 1185, 6854, 803, 909, 782, 3781, 563, 2690, 2395, 267, 602, 2025, 25064, 12475, 18857, 1185, 1630, 16556, 827, 1010, 2702, 547, 726, 617, 585, 7366, 540, 5195, 1510, 16069, 563, 16908, 568, 513, 2261, 25070, 267, 646, 1767, 267, 711, 513, 838, 11781, 269, 594, 4941, 547, 1397, 1864, 602, 594, 1223, 2196, 1312, 2484, 543, 3728, 563, 763, 12094, 540, 519, 3529, 729, 899, 606, 22597, 563, 296, 1336, 606, 3592, 24814, 4224, 267, 4988, 621, 609, 6371, 267, 543, 5828, 621, 883, 513, 2306, 31183, 10788, 578, 563, 296, 1223, 5873, 519, 3762, 15309, 1782, 543, 519, 10987, 18388, 532, 1107, 594, 5433, 789, 941, 23712, 543, 1256, 931, 25378, 547, 2322, 803, 547, 3207, 563, 4517, 621, 4769, 1406, 1491, 873, 1279, 547, 8011, 563, 296, 4718, 8885, 1743, 14823, 593, 513, 2845, 538, 513, 4190, 6908, 540, 1216, 563, 2026, 594, 3357, 2282, 519, 13272, 267, 594, 1336, 606, 2025, 812, 267, 609, 513, 13576, 581, 731, 267, 9361, 593, 513, 4224, 538, 513, 1199, 5511, 10460, 269, 1261, 8118, 1010, 4064, 267, 5795, 803, 606, 782, 268, 3104, 532, 12837, 267, 543, 4280, 912, 8072, 8005, 616, 596, 286, 20371, 8072, 296, 993, 513, 688, 516, 269, 594, 993, 4881, 513, 5198, 19028, 8072, 2414, 6961, 547, 782, 519, 7068, 538, 519, 26570, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14280, 839, 729, 14281, 593, 476, 2420, 526, 4873, 676, 513, 1804, 3943, 3196, 936, 2185, 2053, 741, 4222, 269, 1358, 10692, 2182, 855, 941, 7142, 547, 13649, 2509, 1776, 1560, 540, 29816, 7247, 700, 14280, 839, 3576, 585, 14082, 16167, 855, 789, 941, 538, 1249, 3943, 269, 700, 14280, 839, 543, 1010, 2367, 941, 2759, 1055, 543, 538, 519, 1671, 5224, 26545, 1076, 267, 5216, 2367, 941, 7166, 543, 476, 2420, 20754, 267, 1247, 1079, 10492, 543, 476, 4037, 2367, 941, 3144, 26956, 267, 1082, 540, 873, 20754, 563, 4407, 519, 18479, 22770, 4951, 741, 538, 23024, 1466, 540, 2112, 267, 789, 849, 7152, 741, 22838, 267, 2348, 10692, 1996, 11566, 12918, 585, 1614, 3108, 543, 3361, 1082, 3943, 25096, 563, 2005, 729, 593, 476, 1428, 628, 4864, 476, 8687, 272, 602, 1776, 10071, 3576, 1747, 267, 7654, 10834, 519, 18479, 22770, 779, 3668, 540, 1995, 269, 589, 29862, 540, 476, 1015, 2367, 896, 31924, 19291, 8381, 729, 14281, 543, 9676, 676, 519, 3943, 269, 28673, 814, 621, 602, 519, 2367, 941, 538, 513, 22269, 15250, 731, 543, 941, 711, 9878, 2407, 3007, 547, 741, 4108, 11645, 269, 634, 28215, 634, 22216, 787, 335, 1157, 619, 729, 267, 2705, 267, 2141, 23217, 28703, 676, 519, 476, 1556, 628, 670, 1380, 1513, 538, 2663, 1296, 256, 8381, 729, 2663, 547, 581, 16094, 20754, 693, 519, 11135, 540, 4826, 31846, 563, 763, 1101, 2101, 6370, 585, 519, 18479, 22770, 729, 593, 476, 1839, 628, 5181, 267, 950, 267, 693, 4432, 26636, 517, 267, 789, 4371, 519, 15627, 1996, 7368, 3943, 6285, 269, 4934, 333, 3518, 1229, 267, 676, 930, 6589, 267, 476, 1015, 547, 835, 267, 519, 31118, 9901, 936, 476, 736, 2053, 1996, 519, 3943, 31487, 267, 7092, 25096, 540, 476, 1015, 7166, 543, 476, 2641, 20754, 269, 634, 18479, 22770, 1185, 1500, 741, 10639, 606, 11464, 540, 519, 476, 1626, 628, 8752, 19537, 2998, 976, 1603, 281, 968, 763, 2932, 540, 519, 18479, 22770, 8752, 19537, 2998, 976, 729, 971, 607, 1590, 16826, 873, 607, 7980, 3257, 741, 10279, 538, 513, 2565, 3510, 3034, 9961, 476, 8687, 273, 519, 18479, 22770, 941, 2141, 3742, 267, 16113, 693, 519, 11135, 540, 6428, 600, 4545, 320, 538, 5147, 543, 519, 7766, 13287, 540, 519, 3943, 267, 543, 519, 7127, 547, 966, 718, 611, 13521, 593, 476, 4029, 560, 5147, 269, 2201, 476, 277, 628, 5181, 513, 27805, 1258, 540, 519, 18479, 22770, 267, 896, 31924, 29962, 590, 548, 662, 267, 18084, 519, 5211, 8935, 549, 2282, 519, 4884, 540, 645, 11484, 21034, 267, 543, 14281, 513, 3943, 2022, 269, 634, 3703, 29816, 19524, 267, 31924, 4937, 11184, 7338, 11625, 517, 267, 14754, 713, 689, 2066, 519, 5757, 543, 26916, 519, 2962, 540, 519, 18479, 22770, 676, 10503, 621, 607, 968, 2507, 519, 2656, 652, 3364, 646, 2479, 4718, 29816, 798, 9731, 19013, 519, 3703, 4434, 799, 729, 10300, 1540, 693, 26990, 657, 267, 5828, 883, 513, 4028, 15639, 1282, 799, 519, 31118, 4503, 476, 2004, 2367, 7166, 610, 20754, 267, 543, 476, 2412, 9640, 269, 4438, 713, 942, 789, 849, 4465, 519, 17192, 540, 519, 16099, 540, 654, 2454, 2023, 585, 741, 32344, 1145, 538, 2962, 563, 4913, 267, 950, 519, 7952, 4682, 883, 5162, 20453, 538, 5239, 476, 8687, 273, 621, 729, 4956, 519, 18479, 22770, 941, 865, 4389, 676, 25096, 543, 19210, 602, 789, 1058, 2132, 1753, 543, 538, 4728, 476, 8687, 274, 519, 476, 1556, 628, 8752, 19537, 2998, 976, 5293, 741, 9640, 547, 824, 1036, 9323, 269, 2201, 476, 275, 628, 4873, 789, 30774, 689, 28988, 2548, 267, 21945, 693, 623, 2176, 17625, 593, 519, 476, 1704, 628, 543, 1287, 593, 547, 595, 1251, 269, 634, 476, 1556, 628, 8752, 19537, 2998, 976, 1185, 11124, 25096, 540, 476, 275, 1704, 2367, 543, 476, 27898, 9640, 855, 519, 31118, 1185, 4465, 519, 11135, 12968, 2293, 968, 306, 15401, 4545, 320, 892, 543, 968, 303, 523, 14002, 892, 1107, 543, 602, 4583, 28215, 2336, 17138, 281, 589, 11275, 5914, 7595, 1353, 540, 519, 11275, 739, 24780, 13289, 538, 15281, 24979, 23382, 520, 540, 4432, 26636, 517, 267, 476, 1839, 5181, 476, 8687, 272, 910, 3778, 267, 314, 333, 984, 337, 6012, 295, 272, 1729, 295, 273, 316, 10395, 520, 540, 4432, 26636, 517, 267, 476, 1839, 5181, 476, 8687, 272, 910, 3778, 454, 288, 25934, 281, 476, 5002, 4905, 910, 2107, 10249, 267, 5463, 32590, 543, 2405, 1023, 454, 303, 1515, 281, 31924, 717, 269, 1809, 7815, 267, 476, 1556, 628, 8752, 19537, 2998, 976, 454, 300, 26090, 4937, 6796, 476, 9692, 274, 268, 8687, 275, 267, 476, 272, 804, 5684, 267, 6428, 600, 4545, 320, 630, 294, 269, 1809, 7815, 267, 5395, 329, 339, 269, 11683, 267, 476, 1556, 628, 700, 339, 269, 28463, 985, 4700, 4826, 31846, 476, 8687, 276, 630, 8802, 269, 5395, 329, 269, 20727, 269, 717, 269, 1809, 7815, 267, 476, 1556, 628, 3204, 269, 8752, 19537, 2998, 976, 1070, 10682, 7533, 2786, 3046, 20022, 267, 519, 1101, 5176, 5393, 5386, 267, 519, 2034, 609, 6316, 20015, 2358, 543, 1769, 3346, 7436, 267, 4061, 5176, 1360, 5386, 630, 273, 994, 288, 269, 589, 269, 9796, 928, 14635, 267, 476, 5002, 279, 563, 300, 871, 20044, 773, 14635, 267, 476, 4350, 275, 563, 289, 12245, 7773, 781, 267, 5988, 476, 4198, 275, 563, 24730, 1809, 7815, 729, 4535, 693, 8381, 8822, 267, 22206, 13083, 538, 5239, 476, 9965, 275, 269, 1261, 21821, 539, 883, 519, 476, 1556, 628, 8752, 19537, 2998, 976, 693, 594, 1186, 16049, 593, 476, 1789, 5412, 476, 9692, 280, 267, 9907, 476, 1428, 269, 634, 631, 13831, 17029, 3149, 540, 476, 5197, 271, 1397, 1864, 7674, 538, 18279, 590, 548, 662, 781, 18858, 641, 269, 1809, 7815, 729, 6385, 15469, 267, 8375, 547, 5395, 613, 656, 676, 476, 5197, 276, 630, 5408, 654, 302, 476, 1839, 270, 4281, 274, 1916, 1805, 566, 539, 693, 5754, 1492, 267, 13573, 538, 476, 5197, 275, 268, 276, 267, 693, 519, 4463, 540, 519, 12289, 29057, 267, 519, 476, 1556, 628, 1287, 4718, 3028, 538, 8581, 693, 595, 1251, 267, 1849, 517, 17745, 543, 25212, 269, 769, 476, 5197, 280, 789, 941, 3238, 538, 519, 7001, 540, 519, 556, 10864, 1228, 3703, 17199, 543, 23681, 2006, 5261, 645, 1066, 22974, 267, 4171, 7001, 568, 9976, 538, 519, 3440, 611, 834, 289, 1245, 645, 1066, 22974, 593, 519, 631, 3233, 2668, 634, 476, 1556, 628, 24389, 585, 519, 18686, 693, 623, 569, 17625, 538, 4989, 476, 8687, 272, 609, 513, 4222, 540, 476, 278, 1839, 10492, 543, 2367, 269, 10374, 569, 1310, 13941, 538, 17577, 789, 941, 5605, 19813, 676, 3943, 29862, 338, 693, 5842, 9410, 632, 7066, 2041, 14765, 267, 2282, 14068, 1690, 9926, 269, 1280, 1027, 547, 1491, 3382, 538, 513, 22269, 15250, 731, 267, 519, 31118, 781, 28215, 2968, 1412, 763, 22216, 787, 335, 1157, 619, 8339, 589, 18979, 29816, 2962, 4553, 693, 4432, 26636, 517, 2282, 19923, 21059, 30954, 334, 593, 476, 1839, 5181, 267, 538, 799, 519, 476, 1556, 628, 9901, 14578, 543, 3535, 539, 519, 3943, 1310, 5230, 9271, 269, 1809, 7815, 729, 1459, 693, 519, 11135, 540, 6428, 600, 4545, 320, 593, 476, 2420, 5147, 476, 8687, 273, 563, 763, 31118, 8120, 547, 4789, 538, 4873, 476, 8687, 274, 269, 1809, 7815, 729, 15469, 547, 18858, 641, 5395, 613, 656, 5336, 1994, 538, 5181, 476, 8687, 275, 543, 3204, 14939, 5395, 613, 656, 5336, 1994, 538, 5130, 476, 8687, 276, 267, 7674, 538, 713, 1271, 7584, 1282, 519, 4826, 31846, 22411, 269, 3487, 540, 966, 663, 25279, 584, 781, 23394, 1228, 267, 519, 476, 1556, 628, 10692, 693, 2637, 1952, 324, 1282, 519, 15639, 689, 2372, 11128, 5696, 553, 593, 476, 1704, 4873, 267, 543, 1500, 513, 12703, 4831, 7302, 1618, 1996, 3943, 561, 19188, 13197, 519, 5742, 23394, 1228, 693, 476, 273, 269, 1789, 533, 6230, 269, 1282, 519, 11135, 540, 4826, 31846, 269, 634, 5742, 23394, 1228, 267, 25356, 1310, 741, 4583, 5279, 1996, 667, 262, 11293, 23127, 781, 17620, 267, 1131, 3592, 6157, 723, 1044, 3045, 8811, 23624, 1510, 966, 663, 25279, 584, 781, 6304, 269, 1809, 7815, 7283, 609, 519, 31118, 1282, 519, 13567, 540, 8303, 269, 769, 6284, 540, 1010, 2533, 646, 729, 20827, 513, 12397, 564, 538, 519, 476, 1556, 628, 8752, 19537, 2998, 976, 593, 476, 1321, 5239, 267, 4742, 1520, 329, 583, 656, 540, 519, 31118, 602, 1482, 1554, 630, 310, 302, 476, 1321, 270, 280, 6434, 1916, 18770, 3496, 547, 31924, 593, 476, 279, 5437, 476, 8687, 279, 267, 646, 6039, 538, 3127, 609, 519, 31118, 689, 5988, 476, 8687, 280, 269, 1261, 729, 593, 4734, 538, 2342, 1282, 519, 26362, 543, 7001, 540, 13225, 4669, 335, 3233, 267, 1498, 519, 3204, 14939, 3778, 5638, 1864, 607, 1373, 1459, 269, 1261, 8120, 547, 4789, 538, 476, 9264, 280, 267, 543, 729, 15469, 547, 18279, 538, 5437, 476, 8146, 275, 269, 1261, 19622, 593, 476, 1691, 4728, 476, 8146, 278, 1310, 476, 4391, 1296, 609, 519, 2051, 2293, 630, 528, 2864, 267, 519, 10842, 517, 1040, 1261, 9310, 7788, 645, 21672, 693, 3057, 956, 5112, 267, 22206, 13083, 593, 476, 277, 5130, 476, 8146, 273, 267, 4651, 532, 2185, 1453, 4421, 609, 23652, 3028, 4574, 543, 804, 5684, 21533, 563, 20428, 547, 476, 736, 260, 966, 2969, 593, 16179, 518, 779, 20031, 1756, 269, 1280, 811, 1344, 5225, 2070, 16301, 543, 17148, 585, 16179, 619, 269, 0, 763, 1913, 968, 338, 1636, 892, 543, 968, 338, 7964, 892, 723, 1114, 10096, 269, 634, 5449, 4016, 547, 1808, 2010, 540, 23242, 2238, 1247, 519, 8545, 568, 1031, 585, 2489, 23242, 2238, 269, 634, 6165, 540, 968, 338, 1636, 892, 11148, 547, 581, 6237, 269, 769, 930, 2694, 540, 519, 1158, 267, 519, 2262, 7328, 568, 1031, 547, 4766, 835, 7328, 543, 711, 782, 2010, 540, 5026, 269, 9182, 267, 519, 2262, 968, 338, 1636, 892, 568, 849, 1031, 547, 3277, 547, 1808, 5686, 540, 5026, 267, 1247, 968, 338, 7964, 892, 568, 811, 2489, 563, 1103, 3013, 267, 519, 2262, 968, 338, 1636, 892, 4016, 547, 8013, 2168, 2534, 4171, 3483, 568, 547, 2087, 513, 1268, 779, 5578, 610, 2702, 269, 898, 949, 1683, 18399, 547, 5171, 610, 9913, 547, 4715, 2209, 543, 3895, 2168, 1072, 269, 25569, 338, 540, 1114, 5026, 2291, 5001, 269, 2368, 4125, 2582, 16311, 1218, 1247, 1866, 723, 7366, 540, 5171, 269, 2368, 4125, 1079, 5011, 267, 971, 607, 13836, 543, 11176, 267, 1247, 1866, 616, 513, 4999, 540, 1312, 269, 17859, 540, 519, 2796, 267, 972, 616, 1896, 3982, 3604, 1063, 7328, 543, 5026, 563, 2690, 1383, 267, 5026, 666, 3895, 3742, 4708, 267, 3486, 1620, 267, 543, 8994, 2463, 1851, 1004, 269, 22505, 666, 849, 3895, 1514, 1983, 602, 616, 4105, 585, 15114, 269, 6787, 610, 711, 649, 3442, 513, 1880, 7328, 267, 621, 568, 2312, 602, 1312, 723, 1271, 5107, 547, 1404, 538, 938, 2486, 269, 898, 666, 2087, 938, 2729, 607, 2043, 267, 2950, 267, 543, 7239, 269, 898, 2337, 721, 7753, 3604, 543, 3895, 5188, 269, 898, 666, 1256, 2736, 1524, 11475, 543, 28639, 269, 0, 27287, 5198, 3069, 630, 10135, 307, 264, 2306, 5198, 519, 24388, 998, 799, 922, 28288, 5659, 782, 3344, 540, 1977, 1272, 267, 11008, 1944, 2043, 883, 2516, 540, 1727, 816, 832, 543, 9601, 269, 898, 568, 513, 6138, 602, 568, 3468, 532, 3388, 689, 6214, 543, 2069, 547, 519, 9036, 543, 519, 4108, 563, 2690, 811, 1344, 827, 10911, 307, 4945, 519, 11595, 7690, 13017, 563, 2108, 12710, 27912, 892, 593, 3239, 1657, 547, 3095, 547, 519, 15101, 299, 6395, 3896, 563, 2108, 12812, 892, 593, 519, 3239, 1657, 547, 3095, 547, 10312, 593, 519, 7731, 19534, 0, 1432, 568, 11682, 13048, 888, 15771, 13048, 568, 513, 1907, 602, 2636, 596, 547, 1294, 693, 519, 1374, 3942, 267, 875, 707, 1753, 568, 4397, 547, 1685, 952, 3710, 547, 1544, 563, 2005, 6763, 585, 2048, 763, 10426, 633, 5600, 12020, 13268, 720, 9957, 901, 10872, 568, 606, 1898, 851, 540, 12809, 2777, 1374, 269, 898, 666, 20248, 581, 1031, 593, 1875, 1790, 817, 633, 2777, 6272, 952, 972, 568, 1871, 538, 3257, 713, 269, 18103, 27274, 267, 519, 2832, 568, 547, 946, 713, 10872, 7258, 12809, 2777, 1374, 543, 1628, 3741, 547, 5688, 1047, 2773, 543, 3035, 1978, 8143, 2773, 7355, 267, 1256, 952, 621, 779, 711, 547, 519, 3486, 10426, 643, 295, 9476, 3044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4316, 547, 5967, 519, 1614, 15769, 265, 540, 938, 555, 1930, 1569, 1433, 267, 2657, 540, 4658, 267, 2657, 540, 14136, 543, 3776, 26930, 281, 8693, 7827, 267, 5794, 21694, 543, 2657, 547, 2307, 873, 1946, 789, 3370, 713, 1433, 267, 1946, 789, 8359, 1930, 1569, 543, 1018, 5796, 789, 1131, 2285, 547, 1433, 563, 14549, 1072, 543, 519, 1072, 540, 938, 1604, 616, 538, 2169, 878, 2406, 5532, 269, 3776, 7104, 6043, 267, 1134, 5630, 267, 6484, 267, 543, 2702, 547, 513, 3200, 2068, 568, 4628, 4448, 547, 519, 1426, 649, 3548, 267, 519, 1216, 649, 4235, 267, 543, 519, 2011, 649, 13236, 269, 13772, 14245, 543, 8470, 5717, 689, 519, 9509, 518, 563, 5804, 519, 16771, 540, 519, 17587, 15356, 538, 13188, 267, 9400, 670, 269, 774, 29993, 267, 543, 18706, 681, 269, 6129, 7322, 281, 513, 11240, 2218, 1413, 693, 875, 649, 1118, 3664, 1715, 3840, 8648, 1655, 31805, 715, 3139, 513, 7454, 3883, 540, 519, 5729, 676, 634, 8859, 626, 543, 519, 11038, 8648, 5272, 1554, 649, 1118, 5079, 1765, 12671, 1018, 547, 4444, 610, 3548, 267, 827, 2883, 9541, 610, 938, 1453, 779, 1072, 543, 2069, 267, 1256, 827, 519, 3123, 270, 276, 263, 274, 298, 1916, 763, 19236, 1072, 2732, 568, 7361, 2030, 2861, 543, 2636, 606, 3328, 540, 476, 273, 267, 8477, 513, 1554, 269, 898, 2636, 835, 14132, 3276, 3455, 543, 1079, 32122, 540, 3165, 513, 269, 16202, 1280, 634, 14136, 568, 513, 4640, 267, 6940, 543, 6725, 17874, 6109, 5059, 593, 4543, 12478, 543, 3906, 3927, 4473, 909, 547, 519, 4161, 540, 13321, 938, 1426, 1062, 563, 23945, 564, 2657, 568, 606, 15834, 6437, 5059, 593, 5355, 519, 1072, 543, 1134, 5630, 540, 15795, 998, 21632, 3446, 1053, 1247, 2679, 543, 17923, 1983, 538, 1893, 6575, 267, 2979, 267, 2257, 267, 1514, 2090, 267, 543, 2168, 2069, 563, 7437, 4928, 543, 2168, 2069, 2238, 267, 14136, 2657, 6663, 547, 2333, 2534, 267, 2087, 8192, 2298, 267, 543, 6175, 538, 13808, 6185, 5877, 5131, 7913, 7734, 538, 7300, 267, 21768, 18510, 543, 17834, 10292, 4813, 1846, 563, 2171, 723, 782, 2835, 1411, 3657, 18391, 1280, 269, 23897, 1343, 540, 5131, 7913, 7734, 593, 1656, 621, 568, 2098, 4673, 543, 824, 12478, 899, 621, 602, 723, 5280, 2030, 17514, 593, 519, 17439, 4554, 10301, 540, 519, 4541, 269, 769, 968, 293, 5831, 641, 12994, 2223, 667, 3570, 7338, 267, 513, 25982, 2511, 5856, 267, 20310, 569, 13462, 938, 269, 0, 4537, 12976, 476, 272, 910, 476, 1015, 540, 476, 275, 4037, 14391, 725, 28562, 609, 519, 20438, 834, 11742, 4840, 23087, 281, 763, 6648, 267, 998, 606, 2272, 540, 519, 15669, 779, 2833, 609, 9561, 4552, 267, 7710, 2152, 971, 607, 10172, 267, 14920, 267, 543, 938, 791, 582, 775, 950, 5185, 609, 519, 13112, 2456, 540, 2470, 607, 621, 21810, 938, 4703, 269, 681, 4474, 689, 3504, 12266, 561, 648, 547, 546, 830, 4558, 7966, 9313, 267, 4856, 810, 649, 2314, 513, 25989, 573, 24005, 540, 2592, 827, 875, 3425, 1521, 543, 5855, 827, 741, 4552, 543, 875, 4552, 814, 1044, 513, 7242, 641, 334, 2045, 6174, 585, 27453, 8160, 1276, 540, 519, 6648, 18271, 14220, 1498, 14973, 1893, 17929, 519, 15669, 14753, 547, 1010, 4552, 543, 5418, 6758, 609, 519, 10971, 547, 9258, 1010, 12556, 269, 4856, 810, 11339, 267, 834, 2414, 9114, 538, 5127, 543, 581, 4552, 1652, 568, 513, 1025, 8974, 1152, 2696, 1223, 1450, 734, 21968, 543, 2663, 267, 834, 291, 600, 2740, 581, 4552, 256, 1547, 1547, 1547, 22458, 602, 3790, 513, 13362, 15823, 547, 581, 23689, 10590, 634, 6648, 7475, 609, 606, 14220, 1019, 520, 11171, 1996, 4552, 543, 606, 6273, 3954, 12568, 540, 922, 29631, 1379, 563, 23087, 281, 1607, 14391, 566, 568, 1759, 593, 513, 2661, 2773, 4843, 676, 519, 24607, 26308, 11833, 693, 519, 15656, 808, 269, 17054, 2006, 26308, 538, 1715, 3840, 4975, 602, 10443, 1063, 4989, 543, 4873, 540, 476, 1001, 277, 269, 634, 1404, 729, 9930, 3990, 585, 513, 476, 1001, 277, 25414, 13815, 585, 1655, 1404, 267, 543, 7671, 18999, 7578, 4465, 519, 476, 1001, 277, 25414, 13815, 585, 1655, 2773, 676, 606, 17076, 538, 513, 3056, 1909, 538, 513, 1404, 269, 769, 5885, 5107, 941, 22186, 787, 333, 8210, 2041, 267, 20574, 589, 951, 267, 8176, 16907, 1633, 267, 670, 20087, 16410, 749, 267, 543, 22186, 22220, 5062, 301, 10154, 563, 23087, 281, 3086, 476, 2918, 1296, 2025, 267, 27533, 630, 297, 6756, 928, 7200, 1047, 264, 7024, 1753, 547, 2904, 18474, 267, 17665, 267, 1141, 1352, 13341, 1082, 2242, 269, 4173, 7015, 814, 5747, 269, 4173, 24123, 4651, 267, 5900, 16307, 5685, 577, 267, 945, 29846, 519, 4636, 569, 15034, 812, 538, 519, 4505, 28601, 3209, 630, 2414, 23703, 513, 631, 20689, 264, 568, 1869, 8876, 593, 1010, 3656, 2259, 543, 1010, 1909, 607, 513, 8797, 30361, 540, 519, 2146, 267, 5103, 1010, 14027, 2085, 269, 1261, 568, 14059, 547, 9718, 513, 3109, 812, 945, 814, 7166, 513, 3043, 812, 538, 513, 5179, 6174, 8009, 563, 23087, 281, 297, 565, 1540, 25805, 676, 513, 30366, 15146, 267, 519, 15669, 630, 817, 25390, 547, 581, 631, 4157, 615, 329, 2465, 264, 1592, 839, 547, 1010, 3993, 2285, 513, 15237, 995, 1867, 540, 1010, 476, 10695, 4458, 6040, 4651, 779, 530, 22135, 1072, 269, 570, 2454, 1200, 602, 646, 786, 1433, 519, 1985, 8184, 689, 1715, 3840, 547, 1715, 16156, 267, 631, 4157, 615, 329, 2465, 779, 3993, 3649, 951, 267, 26845, 1154, 602, 1200, 1289, 1631, 838, 2720, 1864, 547, 6718, 7199, 2011, 11071, 269, 769, 513, 3159, 540, 6616, 26878, 11047, 267, 631, 4157, 615, 329, 2465, 11339, 267, 968, 763, 535, 2607, 1275, 540, 1200, 5108, 1185, 598, 613, 4705, 883, 18367, 22530, 819, 281, 952, 594, 9575, 513, 8184, 1631, 267, 594, 1522, 546, 732, 519, 9568, 883, 1373, 1848, 27336, 1516, 538, 968, 1873, 601, 18146, 267, 1159, 690, 7302, 12097, 16156, 2223, 631, 4157, 615, 329, 2465, 26082, 1010, 3993, 538, 513, 6413, 779, 594, 5861, 269, 308, 269, 589, 10629, 5128, 267, 631, 4157, 615, 329, 2465, 4967, 519, 9744, 779, 533, 924, 3585, 512, 14217, 1144, 2175, 267, 922, 1835, 22824, 19683, 543, 6534, 20848, 267, 795, 756, 532, 602, 267, 952, 835, 941, 547, 7552, 593, 519, 6405, 6299, 1076, 267, 968, 320, 11719, 626, 1131, 581, 7996, 10375, 569, 585, 596, 1472, 519, 7944, 1848, 3143, 8969, 26224, 547, 519, 6899, 29319, 540, 1977, 10506, 267, 631, 4157, 615, 329, 2465, 3172, 5809, 519, 3765, 30514, 771, 6783, 540, 519, 16156, 9744, 12544, 26843, 2295, 3433, 6895, 267, 513, 5762, 3293, 32137, 29259, 267, 513, 6413, 5127, 609, 29618, 14743, 267, 513, 6765, 8709, 1031, 607, 606, 1561, 14876, 5605, 592, 766, 269, 901, 1158, 267, 2484, 689, 1715, 3840, 267, 568, 544, 1600, 538, 9583, 18163, 771, 10517, 1515, 281, 968, 22013, 6062, 1185, 15354, 26700, 1524, 269, 634, 2749, 729, 7745, 269, 901, 6413, 729, 7745, 269, 3733, 4651, 729, 7745, 3034, 23087, 281, 27845, 23449, 744, 637, 7719, 543, 661, 20891, 1230, 3118, 4983, 519, 3811, 3646, 540, 513, 1906, 3744, 547, 25888, 519, 22557, 538, 519, 8868, 540, 2257, 267, 8488, 532, 2877, 7339, 725, 630, 324, 3052, 1421, 6042, 264, 547, 2149, 2043, 267, 7925, 5095, 267, 6082, 267, 543, 519, 3618, 563, 8072, 291, 12874, 339, 568, 938, 1587, 16224, 10443, 519, 25337, 1509, 334, 2854, 676, 835, 10269, 2872, 10324, 538, 476, 3422, 280, 267, 2048, 26238, 621, 568, 519, 1655, 1797, 540, 12721, 609, 519, 2048, 7853, 540, 1249, 685, 602, 6818, 538, 519, 8186, 540, 519, 2489, 1857, 10200, 630, 335, 269, 476, 4097, 264, 763, 2872, 7691, 267, 2705, 267, 602, 12021, 3744, 1131, 581, 2877, 968, 1729, 23335, 1125, 8969, 2223, 630, 335, 269, 476, 3451, 264, 543, 865, 789, 25945, 930, 269, 3689, 1851, 873, 729, 19291, 1530, 6308, 269, 1261, 729, 513, 21997, 945, 1185, 1044, 3238, 538, 519, 10570, 10514, 1982, 1282, 2622, 2782, 4083, 543, 2663, 538, 12019, 2782, 9604, 3292, 269, 1261, 6785, 1985, 547, 4986, 827, 519, 2257, 6029, 519, 2800, 540, 10269, 8673, 269, 1717, 267, 1010, 942, 607, 7022, 540, 519, 2817, 9142, 540, 7070, 543, 607, 7022, 540, 18842, 651, 325, 11839, 2160, 11063, 539, 1864, 17258, 593, 782, 6927, 540, 2257, 267, 693, 2547, 547, 14218, 4293, 3544, 540, 2257, 269, 3571, 6285, 593, 519, 2257, 6029, 519, 28746, 540, 10269, 8673, 1185, 513, 2603, 547, 798, 609, 519, 5756, 621, 3576, 1354, 6608, 543, 519, 1857, 3576, 6209, 3527, 563, 2507, 16269, 941, 2324, 547, 2048, 31261, 519, 25736, 540, 15698, 685, 2507, 604, 2257, 729, 1373, 1031, 1996, 1346, 25736, 24568, 2081, 602, 13934, 519, 5191, 540, 1863, 13055, 1765, 6533, 789, 1131, 4339, 621, 607, 789, 1131, 4339, 1022, 10546, 269, 1280, 8197, 267, 2257, 729, 4358, 547, 1397, 602, 1978, 5686, 540, 23118, 616, 711, 4264, 1765, 3697, 519, 15698, 547, 3542, 1393, 1848, 630, 335, 269, 476, 24487, 268, 26839, 264, 763, 4589, 3180, 519, 3377, 2923, 3743, 585, 1454, 540, 1018, 519, 8969, 544, 784, 619, 12913, 267, 4481, 13337, 532, 873, 585, 7311, 519, 968, 325, 1515, 1145, 14985, 892, 1765, 26421, 2427, 540, 606, 4661, 786, 1205, 3160, 942, 23121, 519, 1448, 540, 21494, 640, 563, 2507, 527, 2523, 1281, 711, 1118, 2631, 547, 14962, 519, 13618, 540, 4966, 952, 519, 4744, 10938, 568, 2706, 2335, 18050, 267, 29832, 745, 660, 1194, 267, 513, 3110, 3770, 733, 337, 4115, 267, 610, 538, 519, 2628, 540, 513, 1895, 609, 606, 6654, 20748, 16786, 610, 642, 6479, 2797, 610, 2804, 1719, 269, 2107, 538, 930, 2665, 267, 782, 540, 519, 1657, 269, 630, 335, 269, 476, 26604, 268, 24129, 264, 763, 3377, 2923, 267, 789, 7682, 267, 616, 519, 10766, 26283, 543, 1058, 581, 2111, 547, 10646, 1347, 26245, 753, 543, 13131, 3282, 6455, 5443, 689, 16048, 3744, 269, 769, 713, 1909, 267, 789, 8959, 607, 2484, 693, 519, 4589, 616, 7255, 269, 1703, 666, 581, 1100, 3060, 540, 8969, 544, 784, 619, 1510, 513, 3377, 2923, 602, 2901, 666, 1406, 610, 4465, 1406, 1289, 873, 856, 563, 23087, 281, 7197, 1053, 540, 7350, 616, 1134, 3222, 540, 938, 18803, 20297, 607, 5309, 344, 267, 2582, 16052, 539, 1272, 13257, 269, 634, 7271, 540, 938, 7415, 7004, 729, 28020, 4330, 676, 8176, 16817, 538, 1010, 14262, 1257, 2201, 519, 18882, 540, 15661, 267, 3370, 538, 476, 6977, 280, 269, 769, 1082, 24947, 267, 16817, 779, 3172, 636, 1566, 639, 729, 1175, 519, 6679, 3184, 540, 513, 1454, 6626, 4901, 540, 875, 649, 3425, 723, 3144, 938, 1699, 1106, 269, 16817, 19286, 730, 1152, 513, 2489, 1184, 540, 9542, 543, 4720, 538, 519, 3068, 540, 2825, 12503, 269, 1261, 2451, 1010, 1967, 832, 609, 519, 811, 593, 2730, 4305, 540, 7311, 713, 4341, 547, 519, 12475, 6681, 1686, 540, 1480, 4720, 563, 2108, 1492, 1686, 540, 2713, 7103, 814, 1044, 8032, 693, 1169, 2490, 676, 3618, 779, 18755, 1170, 6421, 267, 1317, 1169, 27230, 30331, 10052, 267, 676, 4929, 7096, 2242, 538, 519, 3892, 540, 2244, 543, 4262, 267, 814, 1185, 7096, 2360, 593, 519, 16374, 540, 1312, 267, 543, 8754, 540, 519, 3270, 540, 1272, 538, 1312, 892, 630, 653, 269, 476, 280, 1040, 3528, 519, 3803, 3184, 267, 968, 8256, 4109, 1145, 5608, 646, 814, 13175, 547, 31739, 2055, 540, 1558, 659, 10744, 543, 1565, 269, 1261, 2261, 12069, 693, 875, 938, 1950, 8401, 1062, 814, 4847, 8106, 32058, 1235, 547, 3666, 519, 6551, 7190, 2838, 585, 2930, 23258, 267, 543, 519, 5714, 640, 2838, 585, 5876, 269, 901, 568, 711, 513, 1837, 827, 938, 14401, 269, 3245, 12551, 547, 11096, 9372, 568, 513, 1650, 540, 18495, 779, 6090, 529, 267, 5143, 998, 519, 16650, 1660, 902, 540, 513, 28772, 6048, 945, 2451, 1100, 6149, 2150, 29354, 563, 23087, 281, 1607, 4015, 540, 476, 5611, 5067, 26506, 3217, 721, 998, 519, 3460, 689, 519, 5856, 779, 7385, 779, 5868, 609, 19576, 779, 267, 5555, 7294, 676, 12110, 543, 936, 4364, 1709, 267, 547, 1200, 2669, 543, 1010, 2038, 2395, 540, 20494, 1324, 269, 3057, 3072, 585, 936, 476, 2412, 1296, 543, 2673, 15274, 267, 741, 20422, 3021, 725, 4308, 1007, 9514, 338, 607, 789, 4755, 281, 2701, 4422, 883, 9952, 8808, 1416, 267, 4991, 4503, 538, 1642, 16272, 267, 543, 3587, 811, 9808, 559, 543, 20093, 1738, 267, 6368 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2086, 539, 1524, 543, 2451, 16074, 547, 1450, 1022, 6967, 1216, 547, 18493, 622, 269, 898, 568, 1271, 547, 7227, 2394, 519, 3037, 568, 3819, 1354, 2417, 735, 9146, 865, 602, 22536, 2086, 532, 1281, 711, 2049, 563, 763, 1034, 1455, 2409, 585, 11741, 532, 3037, 513, 4733, 543, 5924, 5854, 622, 519, 3037, 269, 17224, 908, 3322, 16550, 2011, 883, 519, 3037, 267, 799, 3138, 657, 839, 543, 22316, 621, 585, 735, 9146, 269, 966, 2320, 908, 568, 2356, 2944, 609, 513, 1907, 971, 607, 513, 4677, 16945, 267, 799, 814, 519, 3606, 4324, 540, 24609, 532, 519, 2627, 540, 519, 3037, 563, 1432, 1058, 596, 711, 798, 538, 3037, 888, 2691, 12391, 585, 3037, 267, 972, 616, 513, 1906, 1919, 602, 1058, 581, 14284, 538, 1931, 547, 2327, 2635, 267, 8770, 11656, 3037, 563, 20058, 267, 2057, 6972, 593, 3037, 952, 2009, 267, 607, 713, 735, 9711, 519, 3037, 543, 2306, 621, 9875, 585, 1216, 543, 2011, 547, 1205, 538, 269, 3281, 716, 539, 3037, 849, 11151, 5072, 689, 3395, 7184, 543, 11884, 267, 5732, 3056, 547, 25224, 539, 2208, 540, 2371, 543, 824, 10664, 563, 30772, 267, 2057, 512, 3739, 3037, 610, 23892, 519, 3037, 2497, 269, 14606, 568, 1500, 909, 540, 1114, 2010, 540, 5536, 267, 543, 512, 3739, 666, 7519, 519, 3407, 2497, 602, 2636, 5567, 543, 1216, 547, 581, 4371, 563, 18850, 584, 6883, 519, 11295, 849, 4679, 3037, 11761, 267, 799, 936, 942, 666, 2569, 519, 2298, 540, 3037, 563, 23612, 569, 267, 2057, 936, 11529, 3037, 267, 607, 713, 786, 1291, 547, 621, 4742, 11741, 543, 1102, 1068, 850, 269, 31896, 519, 1482, 7031, 538, 835, 1858, 1032, 1310, 1032, 666, 632, 10968, 519, 3037, 540, 519, 2556, 5567, 585, 2635, 2208, 267, 865, 15914, 519, 2010, 540, 7031, 538, 519, 1482, 1858, 568, 1271, 585, 25579, 5109, 3037, 563, 7661, 267, 2057, 1210, 2472, 899, 13851, 610, 10786, 15969, 538, 3037, 267, 607, 891, 666, 723, 513, 14124, 1198, 593, 3037, 2497, 543, 2569, 3037, 12680, 269, 1403, 11641, 1852, 610, 18290, 8851, 568, 2556, 267, 1413, 883, 2067, 3435, 602, 616, 2922, 585, 519, 3037, 563, 19675, 596, 1577, 3037, 1964, 888, 8133, 267, 621, 568, 1271, 547, 1577, 3037, 1964, 538, 1063, 9544, 9979, 269, 901, 2337, 547, 1450, 519, 3037, 942, 547, 29915, 622, 267, 25579, 880, 922, 5567, 267, 543, 2736, 1524, 1022, 5214, 2339, 602, 814, 1044, 3773, 269, 901, 666, 948, 547, 2087, 3037, 12680, 543, 12775, 267, 607, 1134, 607, 2569, 735, 9146, 563, 12234, 267, 713, 1964, 1974, 666, 2285, 6225, 7786, 543, 17973, 538, 519, 3037, 942, 547, 9062, 267, 799, 666, 948, 547, 6923, 1852, 5739, 10860, 543, 3676, 269, 1635, 3850, 519, 3037, 547, 1964, 267, 621, 786, 948, 547, 1711, 513, 1732, 3395, 1604, 585, 2104, 9544, 9979, 269, 0, 20332, 12469, 281, 29520, 267, 2564, 13258, 5207, 538, 6129, 600, 1146, 329, 454, 5278, 476, 1724, 269, 274, 2929, 1004, 538, 9381, 2127, 540, 16273, 786, 6336, 741, 5321, 1813, 547, 2916, 1689, 676, 476, 13078, 271, 267, 2687, 547, 2622, 7813, 20327, 454, 289, 836, 14994, 16034, 27630, 593, 519, 1592, 540, 2477, 693, 1164, 1981, 1813, 547, 2916, 1689, 607, 3665, 4365, 2175, 899, 5230, 22856, 267, 7814, 2158, 543, 5757, 11761, 2333, 1169, 1032, 563, 6097, 547, 2622, 7813, 20327, 267, 676, 519, 1032, 476, 13078, 271, 267, 930, 476, 1724, 269, 274, 2929, 1004, 538, 519, 9381, 2127, 540, 16273, 786, 6336, 741, 5321, 1813, 547, 519, 8801, 5222, 540, 2916, 1689, 269, 898, 786, 849, 2322, 1004, 693, 1072, 1981, 1247, 2126, 3790, 616, 8375, 609, 519, 14413, 638, 2329, 540, 519, 2564, 1062, 563, 288, 2147, 4605, 729, 1336, 538, 513, 5619, 676, 519, 16273, 13163, 540, 10803, 630, 289, 7034, 1070, 5342, 593, 811, 982, 476, 278, 269, 276, 2929, 3885, 4299, 676, 2067, 12469, 538, 519, 2197, 538, 3670, 1296, 630, 1001, 276, 268, 1708, 271, 1040, 634, 1297, 540, 2192, 2818, 540, 1346, 3885, 729, 476, 273, 267, 276, 6434, 267, 280, 1839, 267, 543, 789, 6170, 570, 330, 275, 267, 1822, 5186, 516, 593, 2126, 563, 763, 1004, 540, 6129, 600, 1146, 329, 723, 1044, 7210, 519, 1034, 1317, 540, 2067, 12469, 267, 2687, 547, 519, 16273, 28155, 7304, 601, 730, 10803, 476, 1708, 272, 630, 9720, 11965, 264, 1239, 3370, 676, 519, 645, 7034, 563, 5278, 476, 26801, 267, 6812, 275, 1004, 8593, 2192, 538, 6129, 600, 1146, 329, 1282, 519, 1974, 267, 799, 568, 476, 280, 269, 273, 260, 540, 519, 2698, 1297, 540, 4299, 1004, 563, 15187, 549, 330, 7431, 19486, 2034, 609, 827, 476, 13932, 267, 1822, 1004, 630, 277, 269, 274, 8472, 9991, 2192, 538, 519, 8664, 1813, 547, 12469, 563, 6097, 547, 519, 5619, 1239, 267, 519, 1004, 540, 6129, 600, 1146, 329, 1185, 547, 6108, 570, 330, 24833, 5186, 516, 543, 4880, 549, 330, 7431, 570, 330, 25784, 5186, 516, 593, 2126, 1282, 519, 1974, 563, 14503, 797, 338, 1883, 2601, 3297, 4576, 454, 5475, 17265, 519, 5619, 267, 621, 729, 1336, 602, 519, 2101, 3123, 540, 10108, 538, 16273, 941, 17160, 267, 1216, 8421, 3101, 267, 7814, 2158, 543, 10980, 267, 609, 6360, 5829, 3676, 7700, 547, 476, 2004, 260, 540, 519, 2665, 4988, 538, 519, 5619, 563, 1103, 1346, 3670, 1296, 267, 693, 2547, 476, 272, 267, 31404, 267, 6924, 275, 1004, 8593, 2192, 1813, 547, 17160, 538, 16273, 563, 16449, 873, 267, 476, 4343, 274, 267, 1822, 1004, 630, 1691, 8472, 8593, 2192, 1813, 547, 1216, 8421, 3101, 543, 930, 476, 27628, 267, 21854, 1004, 630, 1321, 8472, 1813, 547, 7814, 2158, 563, 1607, 1867, 729, 2854, 538, 5698, 609, 4578, 995, 0, 1432, 568, 606, 9399, 291, 888, 288, 4396, 15581, 5397, 630, 7704, 291, 1070, 849, 1572, 513, 8755, 5397, 267, 568, 1826, 540, 2182, 5397, 269, 9282, 519, 6189, 540, 606, 9399, 291, 568, 3833, 1114, 689, 2757, 2182, 11479, 267, 519, 2012, 568, 5645, 936, 269, 1323, 9399, 291, 18252, 513, 2027, 2186, 540, 3965, 13863, 609, 21971, 762, 267, 2328, 762, 2281, 602, 666, 3180, 1239, 1256, 950, 13324, 1055, 269, 898, 1522, 948, 547, 1589, 540, 606, 9399, 291, 607, 519, 3677, 23013, 540, 519, 3965, 6529, 563, 12024, 3044, 11479, 267, 606, 9399, 291, 18252, 513, 2027, 1858, 585, 21461, 3965, 269, 595, 5995, 3965, 5713, 519, 1599, 540, 2810, 4393, 11250, 676, 8066, 1239, 602, 568, 2877, 14578, 269, 2060, 519, 1239, 2673, 693, 1688, 538, 519, 21461, 267, 621, 1281, 711, 991, 547, 581, 10099, 3481, 689, 519, 1292, 4859, 1858, 1142, 942, 621, 779, 1572, 563, 5278, 9399, 17762, 946, 21461, 602, 568, 19979, 267, 607, 538, 15222, 748, 6422, 4351, 1569, 3965, 630, 306, 11403, 4456, 1070, 1247, 1866, 946, 1875, 19581, 8684, 21461, 269, 634, 5449, 3340, 513, 1379, 2707, 547, 11677, 1239, 267, 1175, 899, 2780, 20433, 269, 634, 8545, 1826, 25601, 1239, 1256, 1510, 1379, 563, 2304, 9399, 291, 814, 1082, 5383, 936, 513, 2757, 5397, 269, 16418, 942, 568, 8519, 3648, 267, 1818, 519, 9399, 291, 1360, 3728, 269, 9861, 4396, 15581, 267, 519, 5397, 814, 1100, 3001, 2694, 547, 29840, 267, 543, 1281, 711, 5352, 1713, 3002, 269, 898, 568, 849, 14402, 982, 513, 3044, 5397, 267, 811, 1379, 3608, 267, 543, 4625, 14980, 269, 7053, 267, 519, 9399, 291, 568, 811, 14463, 269, 1403, 12628, 610, 536, 6548, 621, 3884, 1405, 607, 2693, 547, 581, 8697, 563, 2467, 616, 267, 2705, 267, 11393, 547, 606, 9399, 291, 936, 513, 3044, 2182, 5397, 269, 4107, 9399, 17762, 723, 513, 14887, 2328, 942, 982, 3044, 11479, 267, 4352, 713, 666, 4268, 267, 4470, 593, 519, 1826, 540, 8755, 3965, 1031, 543, 1297, 540, 13365, 269, 9208, 11479, 616, 849, 5266, 1447, 7199, 982, 9399, 17762, 267, 4352, 519, 3902, 814, 15468, 269, 634, 9399, 291, 849, 814, 513, 3908, 1272, 19104, 540, 32135, 11320, 1679, 9979, 267, 1310, 799, 621, 1100, 3476, 15824, 28761, 269, 589, 2182, 12210, 949, 581, 2111, 547, 5838, 513, 1434, 4557, 1296, 540, 4396, 5106, 563, 6624, 1004, 538, 519, 2361, 3494, 602, 8755, 11479, 610, 9399, 17762, 786, 5555, 5372, 2757, 2182, 5397, 2029, 269, 1635, 519, 942, 713, 4523, 267, 519, 11393, 786, 2693, 723, 1044, 17515, 610, 3648, 7339, 730, 269, 4634, 2221, 267, 606, 9399, 291, 666, 8831, 519, 1272, 540, 513, 21641, 6007, 267, 6175, 519, 2597, 540, 519, 3684, 267, 1118, 621, 26982, 2678, 267, 543, 2333, 1224, 2773, 563, 4692, 596, 2322, 606, 9399, 291, 883, 1022, 15291, 286, 4024, 594, 581, 2111, 547, 1404, 519, 21777, 3756, 888, 3080, 2243, 269, 1215, 1131, 596, 917, 952, 707, 2121, 1504, 814, 521, 338, 323, 286, 594, 993, 3843, 547, 1219, 4048, 9553, 543, 596, 666, 1405, 1219, 4048, 952, 596, 723, 521, 338, 323, 267, 1318, 888, 4407, 3020, 602, 8755, 3217, 3476, 547, 2328, 982, 6419, 12210, 4859, 267, 621, 568, 711, 693, 782, 3020, 602, 9399, 17762, 1491, 3476, 547, 2328, 982, 18074, 17762, 630, 14551, 12210, 11479, 1040, 901, 568, 1317, 789, 8415, 2789, 8755, 13365, 11231, 593, 2789, 1569, 9055, 602, 616, 15600, 538, 6252, 799, 267, 2059, 609, 1950, 1239, 2359, 1949, 547, 3262, 519, 1239, 2066, 519, 2139, 13365, 543, 547, 1569, 519, 13365, 998, 2789, 9055, 8195, 3947, 873, 2484, 3152, 2773, 982, 513, 2582, 13863, 4805, 543, 267, 15921, 592, 8271, 267, 2484, 3152, 2773, 982, 1022, 18074, 291, 269, 1306, 606, 21658, 267, 513, 7504, 666, 2196, 476, 1911, 3952, 1454, 5488, 982, 513, 812, 267, 855, 476, 1911, 2367, 4881, 693, 519, 1482, 942, 666, 1142, 2196, 513, 3723, 5488, 982, 513, 7504, 666, 2196, 476, 1911, 3952, 267, 543, 476, 6344, 271, 2367, 666, 1142, 2196, 606, 10759, 2484, 267, 2484, 5488, 982, 602, 4057, 7504, 666, 2196, 602, 476, 1911, 3952, 269, 3962, 13863, 949, 581, 14887, 982, 513, 18343, 6419, 726, 2660, 267, 855, 5216, 267, 28465, 267, 610, 13977, 26690, 782, 17034, 4773, 540, 519, 5551, 1239, 693, 519, 1482, 942, 616, 15921, 592, 8271, 2484, 5488, 982, 1256, 519, 16595, 18074, 17762, 666, 4383, 269, 1306, 606, 1383, 267, 519, 32726, 313, 3397, 1006, 476, 273, 602, 594, 723, 607, 1250, 1062, 5397, 666, 1224, 11320, 1679, 693, 476, 26326, 270, 22550, 15406, 4882, 267, 1247, 519, 5375, 7913, 2480, 23705, 1470, 4563, 602, 621, 8719, 267, 835, 540, 952, 711, 519, 16595, 476, 273, 269, 276, 257, 2182, 5397, 2139, 693, 519, 942, 540, 713, 20171, 267, 568, 15951, 693, 476, 10482, 270, 10482, 269, 18074, 17762, 849, 7985, 1360, 4057, 26125, 1813, 547, 519, 2838, 2168, 3350, 540, 519, 9843, 547, 519, 13475, 1141, 519, 1239, 568, 267, 1247, 1141, 593, 519, 13365, 538, 606, 9399, 291, 519, 1239, 568, 568, 13061, 543, 741, 26125, 568, 5215, 540, 2053, 2539, 982, 18074, 17762, 269, 23897, 1343, 269, 570, 2586, 782, 1927, 713, 1797, 602, 606, 9399, 291, 666, 1569, 267, 1224, 267, 543, 2328, 1239, 2484, 5488, 982, 606, 18074, 291, 269, 1358, 849, 19542, 538, 4351, 594, 302, 4916, 630, 6358, 270, 16059, 829, 2034, 1070, 799, 568, 519, 5686, 540, 1360, 1507, 855, 3728, 1239, 14509, 543, 11339, 602, 12240, 543, 824, 3156, 1685, 593, 13763, 543, 5665, 1949, 1419, 1685, 593, 1753, 5904, 630, 2865, 1419, 607, 23396, 6119, 1070, 1141, 789, 666, 581, 19421, 547, 7366, 540, 2053, 5488, 982, 18074, 17762, 269, 9399, 17762, 616, 849, 14980, 267, 811, 9308, 14463, 630, 26238, 789, 723, 1100, 3001, 2694, 267, 543, 616, 3976, 811, 11259, 547, 3441, 689, 5222, 1070, 946, 1454, 1447, 1379, 267, 543, 7500, 693, 513, 1454, 2539, 2837, 982, 18074, 17762, 267, 9494, 596, 593, 707, 3167, 3915, 543, 1818, 707, 2780, 26982, 2678, 543, 16830, 693, 519, 1482, 942, 563, 763, 1034, 4122, 7150, 267, 543, 29144, 267, 4909, 2721, 3724, 547, 9399, 17762, 568, 741, 16957, 569, 4057, 15325, 269, 898, 568, 3020, 602, 1142, 1591, 666, 1152, 581, 2854, 547, 513, 1978, 1297, 540, 2053, 734, 24119, 2056, 593, 519, 1826, 543, 2298, 540, 13863, 621, 666, 4268, 689, 476, 1015, 267, 1822, 547, 7366, 540, 5215, 540, 11339, 269, 1717, 267, 7064, 14356, 547, 2479, 2810, 2298, 540, 8755, 13365, 543, 14356, 547, 2479, 5355, 5957, 7400, 532, 2029, 538, 519, 17120, 13365, 713, 568, 711, 519, 4308, 30517, 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 ]
[ 1474, 996, 793, 594, 6415, 711, 1620, 267, 855, 594, 3513, 1491, 513, 1413, 780, 18823, 1211, 958, 267, 4158, 652, 5162, 693, 476, 3393, 715, 568, 711, 1247, 519, 4541, 568, 1063, 519, 1079, 6801, 269, 901, 568, 519, 3579, 652, 942, 693, 519, 20337, 267, 519, 7943, 546, 2354, 1524, 547, 827, 476, 3199, 260, 540, 3193, 282, 602, 568, 899, 2904, 610, 5147, 538, 519, 4571, 2000, 520, 6421, 269, 1809, 693, 476, 3393, 715, 267, 596, 616, 827, 1226, 573, 9665, 689, 519, 1079, 6801, 267, 543, 2141, 3478, 1412, 8999, 1067, 262, 689, 835, 540, 519, 1079, 269, 1924, 602, 7339, 919, 519, 5162, 344, 268, 1145, 269, 14730, 652, 5162, 568, 950, 596, 616, 21266, 1540, 2476, 689, 1312, 10877, 593, 519, 2484, 2451, 540, 519, 10739, 4729, 780, 1892, 4279, 960, 585, 519, 2626, 7711, 6362, 1194, 542, 8206, 256, 594, 1131, 4444, 596, 513, 4235, 952, 596, 2661, 7404, 269, 594, 6415, 711, 513, 2979, 627, 714, 267, 855, 594, 3833, 1174, 707, 7778, 269, 1717, 594, 8263, 689, 707, 3113, 602, 713, 4541, 693, 476, 3393, 5232, 715, 1131, 723, 513, 4832, 602, 3884, 1405, 607, 1164, 630, 4812, 264, 607, 3618, 855, 513, 5162, 1175, 693, 513, 1482, 9803, 1448, 286, 875, 666, 602, 4755, 267, 2094, 950, 594, 1294, 519, 2203, 267, 594, 8263, 713, 4541, 1131, 723, 513, 10782, 5162, 1247, 10877, 31438, 782, 1554, 630, 950, 519, 4541, 538, 519, 1647, 540, 519, 10877, 1040, 1656, 1223, 596, 14969, 811, 267, 875, 2462, 568, 713, 4541, 5635, 547, 3618, 267, 952, 621, 3217, 827, 476, 278, 1789, 2395, 547, 2347, 10739, 286, 1107, 1109, 19604, 714, 681, 714, 7288, 5463, 476, 272, 1412, 1626, 693, 476, 275, 281, 2764, 454, 1892, 7711, 19604, 714, 305, 714, 7288, 1548, 798, 596, 1611, 676, 1412, 6011, 2462, 568, 713, 4541, 262, 286, 1452, 11707, 616, 4830, 540, 519, 2450, 540, 519, 4541, 269, 898, 666, 581, 1022, 2450, 596, 1616, 269, 1107, 1109, 6362, 1194, 542, 5463, 476, 272, 1412, 1626, 693, 476, 276, 281, 5325, 454, 1892, 7937, 15502, 267, 865, 519, 2450, 540, 519, 4541, 711, 2731, 2339, 538, 713, 3830, 1287, 269, 11289, 596, 269, 1107, 1109, 19604, 714, 681, 714, 7288, 5463, 476, 272, 1412, 1626, 693, 476, 276, 281, 6872, 692, 763, 7887, 8710, 1131, 581, 519, 1974, 538, 519, 4099, 540, 519, 4137, 5216, 1141, 972, 1131, 581, 5162, 734, 528, 1945, 2282, 621, 734, 517, 519, 3003, 4541, 780, 296, 6415, 10912, 519, 4541, 7585, 780, 27039, 593, 519, 28550, 540, 519, 4541, 781, 7852, 267, 519, 12405, 1131, 581, 7168, 20868, 269, 2913, 781, 8263, 267, 547, 1118, 621, 2653, 267, 602, 519, 942, 621, 1131, 1491, 713, 4541, 547, 31721, 835, 540, 891, 10877, 568, 476, 272, 3618, 4458, 269, 1924, 835, 7585, 4458, 1131, 581, 513, 3787, 811, 982, 476, 273, 3618, 26188, 269, 1280, 1034, 540, 519, 1101, 3618, 4458, 267, 593, 519, 2451, 543, 1318, 17787, 540, 519, 10739, 267, 519, 12405, 1131, 581, 1175, 899, 1346, 540, 3618, 269, 1809, 607, 7585, 11651, 1206, 1055, 513, 9764, 10739, 267, 519, 4832, 1131, 1205, 21617, 543, 21617, 269, 1635, 519, 4099, 540, 519, 4137, 476, 279, 267, 7585, 568, 12303, 538, 513, 10419, 783, 1533, 540, 5162, 782, 5180, 519, 2627, 540, 519, 4541, 269, 1656, 9811, 267, 972, 1131, 581, 1100, 3781, 269, 32114, 602, 7585, 568, 1226, 573, 9665, 689, 1312, 10877, 267, 835, 3141, 1131, 581, 4259, 607, 519, 824, 835, 9782, 593, 835, 1554, 540, 519, 1032, 269, 2353, 824, 2395, 972, 1131, 581, 1175, 513, 3787, 540, 2347, 14334, 269, 1809, 713, 9327, 1405, 2063, 1279, 269, 7585, 1131, 1287, 1205, 1394, 593, 3950, 593, 513, 9764, 10739, 1472, 519, 2034, 3141, 780, 4131, 781, 7941, 7585, 883, 476, 273, 8280, 7371, 12742, 734, 1492, 3345, 1496, 325, 5217, 519, 1004, 3168, 693, 519, 4605, 316, 543, 519, 3162, 269, 2913, 781, 2161, 519, 3345, 21571, 568, 21266, 1540, 547, 519, 1318, 607, 596, 1413, 693, 519, 4605, 269, 1924, 267, 4098, 593, 519, 2451, 2865, 1448, 540, 519, 10739, 267, 519, 3345, 5205, 713, 4806, 1384, 272, 269, 14400, 2336, 273, 269, 12096, 2336, 274, 269, 15604, 256, 1306, 519, 2395, 1205, 10156, 689, 19382, 6129, 267, 9406, 6129, 5956, 17729, 538, 519, 6607, 563, 275, 269, 2859, 5162, 256, 1306, 519, 2395, 1205, 3476, 267, 19382, 6129, 5956, 547, 14897, 267, 4742, 1152, 513, 6505, 5182, 630, 24119, 2056, 593, 875, 2484, 2476, 519, 4884, 10877, 616, 1916, 276, 269, 11354, 2336, 277, 269, 14400, 2336, 278, 269, 12096, 2336, 279, 269, 15604, 2336, 280, 269, 11354, 2336, 1015, 269, 14400, 585, 513, 3787, 267, 1287, 513, 2656, 2887, 267, 1287, 519, 782, 6377, 26690, 1606, 684, 268, 788, 545, 2914, 5793, 563, 1556, 269, 11354, 2439, 4517, 519, 3162, 1131, 1246, 519, 1482, 4806, 267, 1175, 4098, 609, 519, 3345, 781, 1948, 279, 780, 1892, 1924, 596, 1589, 621, 1131, 1491, 827, 476, 1556, 12405, 1689, 547, 2347, 922, 4783, 286, 530, 578, 8799, 267, 594, 1354, 7058, 621, 1131, 581, 1175, 476, 279, 610, 476, 280, 1107, 1109, 19604, 714, 681, 714, 7288, 8734, 476, 1789, 1412, 1626, 693, 476, 736, 281, 6872, 454, 1892, 7711, 19604, 714, 305, 714, 7288, 3502, 782, 540, 519, 12405, 616, 519, 1482, 3259, 269, 594, 5258, 621, 883, 476, 1556, 5712, 267, 855, 519, 593, 8996, 11317, 1131, 4440, 1289, 621, 2901, 476, 1015, 267, 561, 18804, 1927, 1948, 274, 543, 1948, 275, 607, 835, 5162, 267, 610, 476, 1321, 267, 3257, 602, 855, 12270, 1948, 1015, 883, 476, 274, 5094, 267, 2110, 12405, 269, 1809, 972, 1131, 581, 519, 4397, 476, 279, 12405, 7132, 476, 273, 268, 275, 4470, 593, 1448, 540, 2070, 585, 519, 20868, 8631, 538, 519, 1647, 269, 1107, 1109, 290, 4047, 2464, 292, 8734, 476, 1789, 1412, 1626, 693, 476, 2641, 281, 1691, 454, 1892, 594, 6415, 1360, 8049, 1946, 596, 1589, 621, 786, 581, 5162, 593, 519, 4541, 538, 1063, 519, 1079, 6801, 269, 2060, 1100, 3781, 267, 972, 786, 581, 1100, 8143, 6051, 1974, 547, 18053, 1055, 1022, 3002, 6591, 1282, 519, 10419, 783, 1554, 269, 594, 1131, 1589, 519, 3579, 652, 1974, 1131, 581, 693, 11685, 609, 835, 540, 519, 6801, 269, 1107, 1109, 300, 9926, 518, 4537, 332, 9926, 518, 8734, 476, 1789, 1412, 1626, 693, 476, 2537, 281, 1724, 454, 1892, 7711, 300, 9926, 518, 4537, 332, 9926, 518, 594, 6415, 676, 1100, 1797, 606, 4274, 269, 594, 1175, 2219, 602, 7585, 1522, 581, 1932, 2484, 2476, 689, 2901, 4541, 547, 723, 1022, 2186, 540, 1434, 8022, 269, 9320, 711, 5162, 282, 6148, 1175, 513, 7833, 3579, 1145, 782, 1472, 269, 540, 1576, 713, 5673, 593, 3845, 689, 3141, 4433, 264, 543, 2450, 540, 3141, 4433, 1040, 1107, 1109, 290, 4047, 2464, 292, 8734, 476, 1789, 1412, 1626, 693, 476, 2537, 281, 5325, 692, 11039, 31329, 1055, 519, 4541, 1131, 581, 3592, 4625, 6505, 950, 538, 519, 4099, 540, 519, 1079, 10877, 630, 12671, 476, 273, 270, 279, 2195, 540, 519, 4541, 1131, 581, 10627, 1117, 538, 513, 23863, 899, 1533, 1070, 930, 2371, 1131, 581, 1114, 982, 519, 3283, 649, 1294, 593, 3618, 267, 1317, 1034, 2371, 593, 3618, 723, 7960, 547, 6451, 519, 3781, 4783, 883, 519, 1554, 540, 2371, 267, 855, 596, 9364, 849, 723, 547, 6451, 519, 2053, 1141, 972, 568, 3368, 7943, 269, 543, 972, 1131, 581, 513, 3017, 609, 3662, 1272, 267, 1813, 547, 519, 3668, 540, 3781, 942, 269, 1284, 1131, 723, 513, 2603, 811, 1875, 27248, 2831, 267, 543, 519, 1480, 2732, 1131, 4440, 581, 4299, 269, 1677, 2040, 621, 909, 519, 5117, 1131, 1689, 20427, 1813, 547, 519, 1689, 538, 1769, 3892, 538, 519, 1158, 267, 585, 1732, 610, 585, 8338, 267, 602, 568, 909, 585, 596, 547, 6430, 269, 0, 1607, 4521, 540, 15328, 1149, 18185, 666, 948, 596, 5173, 519, 7164, 7285, 610, 5011, 540, 513, 6906, 952, 596, 917, 1022, 476, 274, 7516, 780, 296, 1616, 547, 4194, 585, 17041, 454, 306, 728, 513, 17041, 454, 306, 728, 536, 17041, 454, 306, 728, 524, 17041, 692, 1012, 1215, 1281, 713, 1876, 540, 5430, 1149, 9498, 960, 2496, 29310, 609, 519, 1876, 540, 521, 1149, 267, 519, 1876, 540, 5430, 1149, 666, 948, 538, 6061, 689, 2241, 547, 1950, 25066, 2042, 676, 1210, 519, 12596, 3177, 2630, 269, 1452, 9273, 666, 581, 2901, 1500, 676, 1688, 610, 676, 1210, 713, 1876, 540, 5430, 1149, 9498, 780, 288, 815, 5430, 268, 272, 27007, 321, 273, 25239, 273, 8584, 273, 8358, 273, 25900, 6540, 8256, 18790, 602, 513, 267, 536, 543, 524, 616, 519, 476, 274, 5011, 540, 519, 6906, 6587, 547, 519, 7285, 589, 267, 645, 543, 595, 607, 4843, 1369, 519, 1739, 4137, 267, 519, 1876, 540, 5430, 1149, 2829, 602, 1384, 2162, 19065, 510, 769, 1931, 547, 4194, 585, 519, 1614, 5011, 630, 320, 267, 536, 543, 524, 264, 596, 1058, 581, 1210, 891, 4834, 1384, 320, 273, 815, 536, 273, 1341, 524, 273, 910, 476, 273, 25900, 265, 6523, 10490, 2020, 320, 815, 20734, 314, 321, 273, 1341, 524, 273, 910, 476, 273, 25900, 265, 6523, 10490, 264, 6540, 321, 273, 815, 513, 273, 1341, 524, 273, 910, 476, 273, 659, 265, 6523, 16360, 2020, 321, 815, 20734, 314, 320, 273, 1341, 524, 273, 910, 476, 273, 659, 265, 6523, 16360, 264, 6540, 322, 273, 815, 513, 273, 1341, 536, 273, 910, 476, 273, 659, 265, 6523, 18154, 2020, 322, 815, 20734, 314, 320, 273, 1341, 536, 273, 910, 476, 273, 659, 265, 6523, 18154, 264, 6540, 2162, 19065, 510, 769, 1931, 547, 3313, 519, 1614, 7285, 630, 288, 267, 645, 543, 595, 264, 596, 1058, 581, 7311, 891, 12596, 1384, 288, 815, 5430, 268, 272, 27883, 321, 273, 1341, 524, 273, 910, 513, 273, 8358, 273, 25900, 6540, 289, 815, 5430, 268, 272, 27883, 320, 273, 1341, 524, 273, 910, 536, 273, 8358, 273, 659, 6540, 290, 815, 5430, 268, 272, 27883, 320, 273, 1341, 536, 273, 910, 524, 273, 8358, 273, 629, 6540, 1012, 21121, 12596, 692, 1103, 29890, 519, 1034, 1419, 1031, 6906, 12596, 616, 1384, 31590, 4120, 15943, 630, 303, 264, 815, 513, 1341, 536, 1341, 524, 692, 31590, 4120, 10859, 12656, 9014, 630, 338, 264, 815, 476, 271, 269, 276, 2608, 630, 320, 1341, 536, 1341, 524, 2020, 31590, 4120, 1858, 676, 4173, 517, 4542, 630, 3008, 264, 815, 20734, 314, 521, 16732, 338, 910, 513, 31618, 338, 910, 536, 31618, 338, 910, 524, 264, 6540, 20238, 3780, 540, 27485, 5858, 538, 519, 6906, 630, 337, 264, 815, 20734, 314, 630, 338, 910, 513, 31618, 338, 910, 536, 31618, 338, 910, 524, 264, 1315, 521, 476, 6540, 20238, 3780, 540, 4931, 30533, 539, 5858, 1472, 6906, 630, 305, 264, 815, 630, 29582, 264, 1315, 630, 275, 3008, 2020, 8489, 1384, 320, 815, 17121, 513, 692, 321, 815, 17121, 536, 692, 322, 815, 17121, 524, 692, 288, 815, 24234, 589, 692, 289, 815, 24234, 645, 692, 290, 815, 24234, 595, 692, 303, 815, 32309, 692, 338, 815, 12054, 328, 12656, 9014, 692, 6347, 815, 9351, 692, 337, 815, 8953, 540, 27485, 5858, 692, 305, 815, 8953, 540, 4931, 30533, 539, 5858, 692, 1015, 4119, 267, 476, 1001, 276, 1923, 476, 271, 8292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3872, 2115, 540, 1585, 2516, 540, 519, 2551, 269, 898, 729, 2919, 538, 476, 1001, 274, 607, 851, 540, 519, 1523, 540, 513, 19618, 1344, 543, 3872, 1604, 538, 519, 6739, 18966, 563, 763, 3760, 568, 5059, 593, 4180, 968, 17739, 547, 2298, 2069, 7488, 540, 1747, 540, 15335, 267, 1514, 543, 1570, 3510, 540, 3885, 540, 1053, 267, 519, 1053, 2933, 543, 741, 1072, 4567, 267, 607, 1134, 607, 4180, 519, 5021, 3160, 1569, 547, 3872, 3292, 543, 2533, 540, 9251, 267, 3119, 2489, 267, 2596, 2489, 267, 6281, 2489, 2069, 267, 6281, 25367, 2069, 267, 3606, 2069, 540, 1453, 543, 4079, 267, 2362, 3318, 2069, 267, 3606, 3318, 2069, 998, 519, 10661, 540, 11558, 543, 9431, 3800, 543, 6127, 585, 782, 5171, 538, 21141, 3872, 5872, 892, 630, 298, 517, 576, 335, 857, 5984, 2507, 267, 476, 1001, 280, 1916, 763, 5948, 630, 301, 17269, 302, 264, 1770, 525, 971, 2101, 6739, 9945, 607, 519, 18293, 3557, 2160, 3957, 1310, 631, 17679, 269, 700, 14137, 657, 990, 282, 853, 269, 22642, 7921, 3557, 2160, 282, 2817, 3194, 25895, 2160, 968, 300, 3041, 328, 306, 31865, 10878, 1308, 3194, 2160, 14451, 3427, 540, 13188, 543, 1866, 563, 25387, 267, 519, 22045, 28352, 827, 476, 1220, 3292, 538, 1585, 2127, 540, 2866, 269, 2353, 3872, 2326, 616, 1863, 543, 2743, 519, 4170, 540, 5313, 1533, 3872, 4441, 269, 1306, 513, 1267, 540, 13215, 519, 1576, 267, 519, 2875, 666, 4309, 513, 15149, 952, 789, 1780, 519, 3803, 13995, 563, 763, 1292, 3741, 5817, 519, 2359, 540, 3872, 1543, 538, 519, 715, 17269, 292, 1604, 616, 607, 5205, 281, 519, 1034, 11727, 20485, 2709, 741, 1655, 3450, 2326, 585, 1353, 282, 519, 6030, 6035, 616, 9916, 676, 4966, 585, 10220, 609, 519, 4170, 540, 519, 4441, 282, 513, 6325, 5650, 585, 12570, 519, 3872, 10781, 540, 1053, 568, 3177, 563, 763, 1344, 543, 3872, 1604, 540, 715, 7968, 338, 568, 20218, 711, 1152, 547, 4961, 540, 519, 6739, 18966, 269, 24929, 540, 782, 17407, 540, 519, 3047, 946, 519, 22045, 585, 741, 3872, 2115, 563, 763, 8668, 9142, 267, 538, 799, 519, 20762, 1565, 3919, 10905, 2757, 2866, 3029, 609, 3845, 1565, 4066, 1759, 593, 552, 19543, 267, 666, 581, 519, 2034, 1383, 540, 519, 14840, 564, 1344, 543, 2866, 1604, 602, 28352, 3872, 1543, 2359, 269, 634, 9142, 729, 8547, 538, 476, 1960, 276, 267, 621, 568, 835, 540, 519, 3056, 17874, 7740, 7722, 538, 3872, 2238, 269, 4706, 3872, 3292, 1683, 971, 2442, 2866, 2127, 607, 1344, 2029, 543, 1870, 3498, 1646, 267, 12449, 543, 1374, 267, 8668, 2359, 267, 1788, 2359, 543, 1344, 3354, 630, 288, 330, 611, 655, 31843, 31828, 307, 328, 540, 2772, 262, 5500, 329, 1094, 329, 339, 267, 476, 1001, 280, 1916, 23382, 1456, 6237, 2866, 7740, 538, 519, 4872, 540, 5292, 326, 690, 2784, 267, 20673, 534, 267, 918, 6652, 333, 617, 541, 267, 918, 6652, 333, 1195, 1513, 330, 267, 715, 714, 327, 5500, 8734, 326, 528, 617, 267, 853, 269, 22642, 7921, 267, 14977, 18210, 267, 772, 17304, 267, 918, 4725, 541, 990, 12921, 267, 4258, 569, 629, 1231, 330, 543, 1866, 593, 519, 4493, 540, 513, 2582, 7535, 540, 2200, 543, 2298, 4441, 267, 8668, 9142, 28352, 519, 2702, 547, 4827, 4601, 4383, 3450, 5234, 543, 3157, 547, 2743, 519, 3309, 3872, 2115, 540, 6800, 563, 5415, 982, 476, 1789, 267, 1822, 1053, 689, 782, 4525, 540, 6576, 2282, 543, 2484, 13383, 14183, 741, 3309, 3872, 2115, 593, 519, 22045, 538, 2243, 12422, 563, 25387, 267, 3549, 971, 607, 6820, 11310, 267, 5616, 267, 2480, 5300, 5530, 21362, 1229, 4065, 3038, 3187, 267, 22126, 543, 1866, 616, 4891, 540, 8668, 9142, 538, 519, 6388, 540, 4745, 3872, 7341, 593, 519, 6739, 2344, 269, 634, 14578, 2808, 3872, 22045, 4607, 17758, 538, 519, 9930, 1588, 834, 16032, 9786, 4804, 4741, 257, 543, 9672, 519, 4567, 540, 9786, 31313, 7108, 4804, 910, 7108, 4804, 31313, 269, 3683, 519, 2250, 1296, 267, 3549, 971, 607, 670, 7699, 933, 328, 543, 595, 8646, 723, 6444, 519, 1164, 21941, 543, 519, 3056, 1909, 540, 519, 8668, 9142, 538, 519, 6388, 540, 3872, 2533, 593, 519, 5769, 563, 6097, 547, 519, 2164, 540, 8579, 2090, 540, 519, 2754, 8111, 329, 984, 267, 519, 6205, 538, 519, 2228, 19684, 2344, 540, 6576, 267, 8668, 9142, 814, 7283, 585, 1082, 1296, 835, 540, 519, 1034, 8179, 8584, 1123, 3549, 585, 2816, 32339, 609, 3872, 1543, 4143, 585, 5355, 519, 20340, 540, 741, 5520, 269, 1677, 4266, 267, 811, 982, 476, 12010, 267, 1822, 971, 13668, 723, 1044, 6592, 563, 3951, 9142, 814, 14578, 4465, 1533, 9753, 585, 2780, 7924, 6030, 585, 519, 2551, 538, 1585, 4525, 540, 6576, 563, 763, 9367, 540, 5153, 1731, 1294, 741, 5692, 538, 1818, 519, 3872, 1184, 1930, 543, 3593, 7888, 269, 634, 3760, 28352, 1312, 519, 7872, 540, 1863, 2866, 543, 519, 5137, 540, 10677, 539, 2866, 6030, 1863, 540, 5279, 543, 1930, 547, 3025, 630, 302, 3630, 345, 990, 520, 601, 262, 333, 11535, 2507, 267, 476, 1001, 280, 1916, 763, 1788, 779, 4332, 4266, 568, 476, 1001, 274, 267, 950, 519, 1101, 2866, 2326, 941, 11540, 593, 519, 3760, 269, 17497, 267, 5153, 1731, 568, 8362, 3384, 519, 4287, 540, 13261, 1565, 267, 799, 10522, 519, 7872, 585, 519, 2875, 547, 1106, 741, 1378, 3872, 8905, 267, 3358, 547, 519, 1367, 1377, 540, 1702, 543, 519, 9709, 1267, 540, 2866, 563, 763, 5153, 1731, 1788, 568, 3384, 538, 1079, 7471, 7580, 8846, 281, 11093, 593, 519, 3760, 1863, 2866, 6030, 2919, 676, 3872, 3906, 267, 3549, 543, 1367, 4589, 609, 519, 7872, 540, 13844, 513, 15149, 282, 2870, 543, 4509, 513, 2792, 1604, 540, 899, 16490, 1004, 910, 713, 568, 606, 5385, 540, 5784, 267, 733, 3949, 267, 19194, 267, 2621, 267, 11401, 609, 1576, 4589, 2073, 22631, 1222, 1045, 14591, 267, 3092, 563, 2414, 4266, 267, 811, 982, 476, 20862, 1930, 2228, 6030, 723, 1044, 11540, 593, 519, 3760, 267, 811, 982, 476, 10844, 267, 1822, 22783, 723, 1044, 9783, 30260, 519, 3811, 12032, 540, 2866, 563, 3721, 1731, 568, 513, 3818, 1922, 23341, 543, 8465, 3760, 585, 2870, 3872, 2326, 602, 2936, 3309, 3872, 2115, 269, 2060, 922, 948, 267, 621, 568, 2009, 547, 1020, 2228, 6030, 267, 7317, 4245, 609, 7044, 543, 1585, 2010, 540, 10467, 585, 1053, 267, 10891, 6030, 585, 513, 4357, 5304, 267, 3180, 522, 9805, 328, 6758, 543, 733, 3949, 267, 10131, 3318, 1427, 20995, 543, 4359, 2866, 3292, 267, 607, 1134, 607, 2932, 9746, 2866, 585, 5520, 543, 7218, 563, 32086, 6030, 616, 11295, 883, 6688, 543, 5396, 269, 7324, 1719, 6688, 267, 6030, 616, 4843, 585, 3025, 267, 1519, 3610, 543, 1153, 18244, 563, 16449, 519, 5396, 972, 616, 5042, 543, 3872, 2326, 538, 6128, 267, 7194, 267, 2780, 2257, 267, 607, 1134, 607, 2067, 1514, 543, 1480, 9443, 563, 763, 2875, 666, 1129, 909, 543, 1491, 519, 834, 21995, 1576, 540, 7041, 585, 519, 645, 10345, 538, 6128, 2580, 1449, 741, 1702, 593, 519, 1138, 15975, 540, 519, 2475, 292, 630, 12385, 24136, 269, 9978, 1377, 1070, 1205, 31235, 609, 8143, 543, 13590, 9259, 267, 4487, 606, 2606, 1576, 538, 7636, 7350, 543, 8790, 14037, 710, 267, 1174, 519, 3741, 540, 8647, 540, 2780, 2029, 630, 520, 519, 8800, 543, 3301, 2157, 1070, 543, 4358, 689, 3446, 476, 277, 596, 666, 4487, 519, 9238, 540, 5752, 538, 595, 563, 2026, 606, 1383, 540, 519, 3872, 1543, 4843, 693, 5153, 1731, 267, 649, 666, 2015, 513, 2110, 1576, 593, 5769, 3106, 4143, 585, 1153, 18244, 267, 3610, 267, 543, 3237, 269, 634, 1576, 568, 4843, 538, 1614, 6810, 281, 18453, 4027, 267, 2272, 3354, 543, 5150, 2228, 11033, 563, 763, 1576, 5036, 856, 1570, 593, 519, 3652, 540, 2922, 2623, 593, 519, 5769, 538, 606, 3015, 1106, 543, 875, 547, 2149, 519, 2780, 689, 18453, 269, 898, 6941, 875, 547, 2149, 519, 2272, 689, 28892, 543, 1018, 547, 798, 952, 621, 729, 11360, 539, 269, 898, 6645, 875, 547, 581, 6870, 689, 970, 15659, 2724, 998, 590, 5960, 267, 834, 334, 24810, 5022, 2580, 896, 519, 1368, 1047, 540, 17493, 267, 16995, 15945, 267, 3091, 540, 19311, 960, 267, 3092, 269, 634, 26575, 786, 1451, 875, 547, 1118, 5150, 16306, 609, 606, 2228, 23129, 543, 513, 5491, 3556, 267, 786, 1174, 1018, 2115, 547, 581, 2944, 952, 972, 616, 2042, 609, 519, 2272, 563, 10376, 3992, 568, 11295, 2687, 547, 519, 1739, 10325, 281, 6881, 540, 519, 1888, 609, 513, 3381, 282, 1257, 5497, 585, 1353, 282, 513, 1449, 602, 1590, 581, 5293, 267, 6029, 602, 519, 1570, 568, 4121, 563, 2252, 519, 1449, 568, 5293, 267, 519, 2875, 786, 581, 9783, 513, 1863, 15149, 267, 10834, 519, 3811, 12032, 540, 519, 1576, 968, 20376, 12053, 593, 519, 5769, 892, 609, 519, 3446, 5833, 607, 513, 1267, 563, 10376, 1576, 593, 519, 5153, 1731, 22045, 814, 513, 9184, 968, 18800, 338, 5608, 1141, 3025, 666, 4734, 741, 12705, 540, 519, 1576, 267, 1118, 8292, 543, 2769, 16858, 563, 8170, 1576, 267, 519, 7396, 6030, 543, 741, 1806, 798, 711, 3970, 519, 3003, 1592, 540, 3872, 2326, 602, 4896, 666, 4487, 269, 1284, 1058, 4063, 1586, 602, 782, 3872, 6030, 4843, 693, 5153, 1731, 616, 1863, 540, 5279, 563, 763, 11566, 5354, 540, 8039, 540, 1346, 945, 723, 3144, 835, 610, 1776, 1576, 616, 2318, 267, 799, 20310, 569, 18327, 741, 4482, 4369, 543, 28252, 547, 519, 7082, 563, 13295, 267, 649, 4843, 519, 2164, 540, 513, 3621, 1353, 7282, 519, 2359, 540, 3872, 1543, 538, 1344, 543, 1565, 5054, 538, 519, 1739, 3344, 281, 7114, 519, 1292, 2994, 585, 1543, 2359, 538, 1344, 543, 3872, 5054, 267, 799, 4847, 721, 547, 4228, 519, 2039, 540, 3872, 2533, 543, 1397, 519, 4890, 8846, 540, 1646, 540, 3872, 2238, 282, 8990, 540, 7082, 14422, 540, 15747, 543, 6639, 3435, 585, 519, 4052, 6388, 540, 3872, 2796, 2359, 3157, 267, 799, 786, 1450, 3872, 1184, 9988, 547, 11884, 3442, 1344, 543, 3872, 5054, 543, 711, 979, 3564, 519, 5943, 540, 9086, 282, 7156, 540, 4052, 1806, 540, 930, 6739, 3872, 5867, 602, 2936, 519, 6240, 540, 5883, 3872, 1543, 538, 1344, 543, 3872, 5054, 12462, 13233, 7046, 4065, 25957, 5608, 968, 3951, 9142, 5608, 5153, 1731, 264, 543, 1450, 3755, 547, 957, 593, 519, 968, 339, 820, 543, 946, 892, 6240, 563, 5472, 540, 519, 7396, 2164, 540, 519, 1353, 5342, 676, 519, 4589, 616, 5059, 593, 513, 1713, 2333, 538, 519, 4398, 540, 519, 3157, 540, 17598, 7209, 15129, 543, 13998, 1713, 3872, 13668, 563, 268, 13019, 611, 655, 31843, 31828, 307, 328, 540, 2772, 262, 5500, 329, 1094, 329, 339, 630, 1001, 280, 1040, 8158, 689, 5291, 2517, 4178, 28482, 611, 5519, 269, 527, 269, 745, 13045, 268, 4889, 659, 31843, 968, 301, 659, 1308, 262, 333, 11535, 3760, 320, 17333, 330, 787, 339, 690, 334, 1073, 23432, 990, 8643, 5984, 892, 630, 301, 17269, 302, 264, 630, 333, 6155, 1040, 8158, 689, 5291, 2517, 12639, 334, 539, 269, 745, 13045, 268, 10127, 24170, 13960, 267, 700, 269, 645, 1421, 590, 699, 321, 1066, 23364, 13960, 267, 589, 269, 966, 1421, 20607, 13873, 14150, 267, 715, 269, 717, 1421, 623, 822, 6352, 14150, 267, 594, 269, 594, 1421, 3212, 341, 345, 1676, 267, 631, 269, 715, 1421, 2701, 2001, 345, 2088, 267, 681, 269, 631, 1421, 1299, 2558, 639, 523, 330, 13960, 590, 269, 589, 269, 630, 1001, 280, 1040, 27588, 589, 1290, 13025, 12409, 5113, 269, 3525, 655, 4750, 540, 5678, 9752, 10613, 267, 476, 280, 263, 272, 1070, 476, 31798, 268, 31874, 563, 268, 23951, 576, 335, 857, 5984, 986, 345, 10903, 31843, 1196, 3626, 329, 1217, 30685, 7224, 329, 1073, 23432, 990, 520, 601, 262, 7224, 329, 521, 1042, 344, 642, 17664, 6359, 12921, 19390, 12658, 518, 659, 4512, 630, 1001, 280, 1040, 8158, 689, 5291, 2517, 2381, 984, 337, 10993, 2173, 584, 2006, 269, 745, 11721, 3796, 27160, 3930, 318, 935, 4003, 15005, 29112, 269, 272, 454, 268, 3933, 12112, 13960, 267, 700, 269, 962, 1421, 1299, 12658, 582, 13960, 267, 966, 269, 590, 269, 630, 1001, 278, 1040, 16217, 3495, 665, 11384, 1143, 538, 519, 3318, 3044, 540, 519, 4116, 269, 634, 4065, 543, 3163, 4750, 267, 476, 866, 263, 275, 1070, 476, 280, 268, 4343, 269, 4179, 2517, 8742, 3820, 270, 1015, 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 ]
[ 0, 3848, 476, 277, 281, 11205, 326, 6229, 808, 28771, 2264, 910, 589, 7033, 6804, 25839, 538, 8000, 6670, 1299, 595, 10984, 923, 692, 296, 269, 4985, 692, 763, 1158, 540, 20341, 543, 23907, 814, 1044, 23353, 676, 1082, 15999, 7418, 2429, 1686, 269, 2290, 971, 9295, 602, 6763, 856, 568, 519, 11205, 326, 6229, 808, 28771, 2264, 267, 513, 1587, 540, 21280, 11672, 11205, 326, 6229, 781, 5499, 21184, 538, 519, 476, 1240, 628, 2540, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1686, 267, 2504, 1184, 267, 4162, 267, 543, 9029, 540, 713, 11599, 17375, 16292, 267, 4543, 596, 1174, 922, 11972, 4644, 538, 519, 7706, 540, 1884, 2294, 543, 2445, 17156, 780, 2862, 269, 8466, 2796, 540, 11205, 326, 6229, 543, 808, 28771, 2264, 692, 288, 269, 634, 1272, 543, 960, 540, 21280, 11672, 11205, 326, 6229, 630, 15876, 271, 268, 9692, 276, 2020, 297, 657, 11672, 11205, 326, 6229, 729, 606, 2296, 1494, 614, 267, 2447, 626, 267, 543, 16724, 945, 8547, 519, 11205, 326, 6229, 2754, 538, 476, 11260, 280, 269, 3571, 29287, 13287, 540, 19870, 543, 14262, 10124, 538, 17375, 2504, 19117, 519, 2872, 269, 7324, 1010, 3875, 10781, 267, 808, 28771, 2264, 3788, 835, 540, 1010, 1034, 6444, 23543, 780, 289, 269, 17959, 540, 808, 28771, 2264, 692, 11900, 18944, 676, 3504, 4936, 3357, 334, 4837, 543, 5259, 543, 12266, 1148, 267, 11205, 326, 6229, 3459, 3384, 808, 28771, 2264, 1472, 476, 10082, 275, 269, 2991, 1296, 540, 17634, 609, 1585, 804, 904, 543, 1350, 30769, 267, 646, 6707, 2813, 513, 14463, 6149, 2264, 1560, 609, 606, 32630, 267, 1319, 974, 9096, 543, 4294, 8323, 23598, 1210, 17804, 4778, 267, 5097, 3043, 780, 7656, 269, 18567, 543, 2504, 3157, 540, 11205, 326, 6229, 808, 28771, 2264, 692, 288, 269, 23531, 543, 5663, 2553, 692, 297, 28771, 2264, 5161, 540, 513, 5386, 3766, 11712, 6149, 2264, 1560, 7768, 5631, 540, 10036, 267, 1166, 842, 267, 543, 21247, 269, 4706, 10058, 5920, 2164, 689, 7311, 513, 6094, 4494, 540, 11954, 17277, 630, 331, 18612, 10036, 264, 5196, 519, 2627, 4553, 676, 20590, 693, 1164, 5210, 269, 4495, 22799, 267, 519, 796, 6921, 18968, 2627, 3217, 593, 513, 5347, 267, 3857, 516, 748, 9403, 269, 28057, 23598, 616, 6913, 998, 519, 3498, 540, 5277, 3043, 10036, 630, 21406, 834, 16435, 760, 8442, 883, 28633, 12946, 6946, 6272, 282, 891, 3365, 1172, 15530, 616, 1287, 3413, 12089, 547, 519, 1292, 4062, 1354, 20590, 780, 289, 269, 7822, 29984, 543, 1374, 27132, 692, 4407, 4544, 729, 519, 12880, 2681, 1031, 538, 808, 28771, 2264, 267, 824, 24698, 899, 3039, 267, 561, 559, 659, 267, 5835, 267, 3109, 267, 543, 1256, 6960, 941, 849, 6964, 269, 5071, 18305, 1419, 12286, 8106, 4798, 6273, 676, 13983, 1723, 7304, 2674, 13299, 267, 1519, 530, 805, 1127, 267, 2712, 985, 267, 2220, 4711, 267, 1199, 718, 687, 267, 543, 17855, 11861, 338, 269, 2983, 6248, 3270, 543, 2067, 2065, 2609, 899, 3762, 543, 5810, 941, 849, 1455, 780, 4353, 269, 11814, 532, 11205, 326, 6229, 808, 28771, 2264, 281, 1871, 267, 678, 10846, 267, 543, 7071, 692, 288, 269, 11790, 12018, 1871, 543, 964, 4275, 321, 1006, 692, 15703, 2188, 3565, 547, 519, 4502, 543, 3747, 585, 11205, 326, 6229, 808, 28771, 2264, 4773, 1851, 19216, 2221, 269, 1452, 1331, 1384, 272, 269, 681, 10846, 543, 2783, 281, 1306, 609, 1022, 2445, 1043, 6221, 267, 4686, 337, 15013, 538, 5140, 2783, 4043, 547, 4971, 2362, 5777, 563, 273, 269, 6520, 543, 8810, 766, 281, 24771, 4773, 609, 13006, 12583, 666, 3648, 2333, 741, 9228, 1871, 563, 274, 269, 3203, 2065, 20519, 543, 23477, 281, 1401, 638, 15363, 1374, 267, 29656, 13401, 3877, 267, 543, 11108, 2949, 11056, 3986, 513, 4062, 781, 9029, 563, 275, 269, 13595, 2339, 543, 2686, 10083, 281, 11762, 6949, 908, 609, 2442, 16919, 610, 3140, 2956, 949, 5818, 1719, 543, 13075, 4502, 780, 289, 269, 7351, 2344, 3466, 543, 8037, 10070, 692, 8601, 1373, 5176, 1079, 543, 513, 3368, 5553, 2025, 267, 11205, 326, 6229, 808, 28771, 2264, 5170, 547, 25407, 19216, 5001, 1813, 547, 922, 15851, 5898, 543, 17545, 269, 31838, 15882, 267, 5238, 267, 543, 4357, 10070, 2777, 11141, 14249, 540, 808, 28771, 2264, 267, 1140, 20535, 547, 922, 9434, 27559, 543, 7499, 4644, 780, 290, 269, 595, 2130, 585, 707, 11205, 326, 6229, 808, 28771, 2264, 4015, 692, 2414, 2327, 519, 15325, 543, 11091, 540, 707, 808, 28771, 2264, 16782, 267, 1246, 891, 4808, 950, 7829, 543, 18071, 873, 1384, 272, 269, 3680, 1463, 7943, 543, 3665, 2837, 15088, 267, 799, 1223, 2014, 535, 8172, 610, 25305, 563, 273, 269, 28545, 9900, 609, 513, 2571, 11453, 610, 12308, 282, 2760, 946, 1216, 610, 6464, 602, 1522, 3441, 519, 2627, 563, 274, 269, 18224, 4773, 593, 7123, 7252, 2476, 689, 8728, 1141, 789, 1223, 581, 18417, 5679, 18088, 1055, 610, 8697, 563, 275, 269, 17115, 8524, 707, 4015, 585, 4191, 540, 5957, 267, 21324, 267, 610, 16132, 267, 5275, 3318, 5796, 952, 2877, 780, 309, 269, 10390, 692, 2026, 938, 3460, 998, 519, 3638, 13795, 540, 11205, 326, 6229, 808, 28771, 2264, 2501, 547, 606, 1439, 267, 621, 3587, 10423, 875, 713, 7415, 17375, 16292, 25186, 942, 543, 6492, 269, 3245, 922, 8129, 538, 519, 21654, 5736, 547, 922, 4797, 8560, 538, 4207, 10655, 10580, 267, 808, 28771, 2264, 5713, 607, 1312, 513, 15266, 547, 1480, 27265, 543, 513, 8115, 1063, 2250, 543, 1459, 269, 1635, 9284, 532, 6000, 538, 922, 1650, 267, 649, 15052, 938, 4276, 711, 1152, 547, 713, 27610, 1843, 855, 849, 547, 519, 6626, 6386, 540, 1148, 267, 1686, 267, 543, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 908, 18085, 517, 28028, 454, 10817, 836, 322, 2967, 1107, 4016, 547, 896, 6921, 10270, 4544, 543, 3043, 18085, 517, 28028, 6676, 267, 6474, 267, 609, 519, 1101, 2413, 9467, 547, 4196, 607, 9782, 1199, 718, 542, 269, 715, 823, 25447, 24349, 13143, 267, 19421, 4677, 17428, 24112, 267, 2298, 610, 18085, 517, 4806, 19580, 4123, 269, 16179, 18085, 517, 267, 2189, 10516, 2093, 267, 4638, 7375, 267, 28028, 12826, 19596, 539, 609, 28028, 2085, 267, 8149, 3347, 269, 13028, 1946, 5959, 32320, 619, 5959, 13123, 5959, 31750, 616, 2147, 585, 713, 4266, 269, 1530, 655, 5944, 5755, 1636, 7436, 7396, 2630, 616, 1500, 538, 519, 5755, 1636, 7436, 593, 8978, 13650, 7615, 3377, 267, 12627, 267, 543, 9513, 18085, 517, 543, 476, 8146, 271, 1315, 273, 476, 8687, 276, 269, 901, 4190, 524, 28240, 4544, 543, 1454, 18085, 517, 609, 1004, 610, 19580, 543, 1875, 7302, 4042, 7436, 593, 552, 321, 599, 256, 19612, 607, 519, 2486, 540, 782, 24349, 18085, 517, 1863, 18085, 517, 267, 519, 476, 736, 628, 2540, 24349, 28028, 13767, 611, 517, 4544, 3043, 18085, 517, 28028, 267, 7121, 269, 4033, 2010, 540, 18085, 517, 16292, 267, 689, 1884, 2294, 267, 5420, 281, 2528, 281, 19584, 18085, 517, 267, 18085, 517, 642, 848, 267, 3735, 2540, 269, 1530, 655, 5944, 5755, 1636, 1317, 540, 24349, 11680, 543, 10004, 256, 1284, 798, 568, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26607, 326, 6229, 808, 28771, 2264, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 8000, 6670, 1299, 595, 10984, 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, 5149, 476, 1015, 281, 4197, 13751, 16610, 998, 6465, 21881, 14716, 543, 12910, 11659, 281, 1323, 5811, 540, 3840, 781, 8466, 4886, 692, 13981, 20505, 912, 26796, 12032, 540, 713, 1770, 267, 596, 786, 581, 2111, 547, 1384, 265, 16294, 1883, 2474, 2404, 609, 27152, 4070, 543, 3656, 16166, 3248, 265, 15233, 891, 2035, 547, 5659, 519, 3140, 1646, 540, 3840, 267, 5177, 3248, 265, 21414, 875, 2242, 538, 4031, 543, 6042, 723, 12936, 4683, 2208, 543, 1646, 3248, 265, 16522, 1127, 1125, 1344, 689, 1585, 2959, 547, 4020, 513, 17396, 2079, 540, 3656, 2152, 4143, 547, 10923, 6753, 780, 7072, 912, 21809, 21881, 4070, 4016, 547, 519, 1184, 676, 799, 15424, 15357, 906, 616, 14648, 543, 4294, 676, 10470, 269, 901, 3322, 7421, 519, 1893, 1031, 538, 519, 9086, 267, 922, 2796, 267, 543, 1022, 4143, 666, 976, 540, 7664, 269, 13751, 16166, 4249, 513, 2565, 1909, 538, 713, 1184, 267, 607, 5730, 8847, 616, 2556, 585, 4977, 12496, 269, 769, 713, 1770, 267, 649, 786, 2263, 891, 2035, 543, 4019, 873, 547, 519, 3140, 1646, 540, 3840, 267, 5177, 269, 1635, 6313, 519, 4720, 540, 3840, 1369, 519, 5943, 540, 27152, 4070, 543, 3656, 16166, 267, 649, 4126, 547, 1683, 513, 4514, 1620, 540, 1312, 519, 1876, 543, 4683, 1686, 780, 296, 269, 6206, 16301, 543, 16610, 538, 6465, 21881, 14716, 543, 13751, 12910, 11659, 912, 288, 269, 6465, 1393, 910, 513, 2854, 1876, 5293, 676, 513, 15424, 1560, 563, 289, 269, 32588, 540, 28604, 910, 3652, 602, 3391, 16488, 538, 16208, 24813, 610, 15458, 1893, 538, 513, 29417, 269, 6201, 1331, 519, 10750, 2495, 4341, 267, 552, 329, 639, 12047, 1252, 529, 267, 562, 8113, 527, 584, 513, 1914, 529, 267, 543, 1866, 563, 290, 269, 30577, 12791, 14329, 910, 17648, 602, 1913, 1058, 581, 2016, 741, 8723, 10096, 8259, 972, 568, 2312, 2963, 547, 519, 14669, 563, 291, 269, 661, 329, 639, 12047, 9198, 529, 910, 1141, 2489, 1913, 1246, 1808, 3283, 267, 789, 1058, 581, 1526, 29471, 607, 7311, 1152, 547, 1919, 2147, 547, 1346, 4481, 5018, 563, 292, 269, 715, 8113, 527, 584, 513, 5081, 529, 910, 1913, 616, 1634, 676, 519, 2754, 789, 1832, 267, 1775, 4318, 1421, 519, 2495, 540, 513, 2262, 949, 581, 5462, 676, 4704, 547, 4478, 1913, 563, 293, 269, 13751, 12910, 11659, 910, 7463, 6863, 1031, 538, 3656, 6054, 267, 1519, 5824, 2453, 543, 2930, 2474, 269, 6201, 1331, 3110, 29342, 24402, 267, 605, 13755, 334, 267, 759, 476, 2354, 320, 3138, 10181, 584, 267, 3092, 780, 2862, 269, 16792, 6465, 21881, 14716, 543, 13751, 12910, 11659, 547, 3840, 781, 3778, 912, 288, 269, 5853, 532, 540, 3840, 607, 661, 4011, 659, 636, 538, 476, 10170, 4696, 912, 272, 269, 13335, 540, 519, 30577, 12791, 14329, 281, 32114, 602, 834, 11398, 532, 257, 1797, 9591, 513, 8628, 11175, 267, 3840, 781, 5137, 1131, 2887, 896, 713, 4214, 563, 273, 269, 31999, 2052, 976, 540, 28604, 281, 661, 329, 639, 12047, 9198, 529, 543, 715, 8113, 527, 584, 513, 5081, 529, 1522, 948, 12172, 1018, 1826, 540, 11175, 729, 3964, 952, 519, 2165, 834, 11398, 532, 257, 941, 24813, 269, 1280, 1383, 267, 952, 834, 11398, 532, 257, 849, 3769, 10151, 13122, 267, 891, 28994, 976, 1223, 4217, 538, 8159, 2436, 661, 4011, 659, 636, 729, 5497, 547, 581, 811, 982, 513, 4108, 856, 14006, 780, 289, 269, 13317, 540, 4936, 19435, 540, 2826, 2335, 807, 769, 2536, 1640, 267, 543, 13536, 540, 519, 3751, 20819, 540, 1546, 4275, 267, 3345, 3518, 6319, 267, 543, 32090, 3840, 912, 272, 269, 15448, 538, 808, 9766, 323, 2109, 281, 3962, 1689, 538, 16278, 2693, 3238, 1007, 4031, 543, 6042, 12044, 3840, 269, 17291, 891, 10593, 2488, 5813, 883, 875, 1114, 6608, 27361, 1852, 936, 4872, 899, 3840, 563, 273, 269, 8177, 540, 21744, 16572, 281, 24356, 519, 2360, 540, 4657, 4031, 2636, 721, 547, 1174, 875, 3656, 20816, 3337, 4683, 5624, 269, 1280, 3236, 267, 1705, 1978, 4031, 3895, 2804, 2534, 1247, 1866, 12042, 1229, 621, 286, 1215, 1705, 3909, 1196, 1112, 338, 1860, 3840, 781, 6189, 543, 2686, 5238, 2496, 290, 269, 19744, 11270, 543, 8278, 27036, 20292, 10418, 540, 8832, 4789, 912, 272, 269, 16241, 22769, 281, 24167, 5939, 4031, 1282, 713, 1974, 24259, 1769, 593, 875, 4984, 6766, 3232, 1272, 538, 10120, 3840, 269, 1548, 2924, 1705, 23464, 4865, 3379, 547, 2482, 15161, 286, 21518, 972, 9993, 3823, 4123, 610, 16450, 1813, 547, 3909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28317, 10196, 3096, 513, 26747, 547, 1353, 5836, 1272, 269, 2701, 5956, 693, 4262, 1377, 267, 799, 568, 606, 15038, 540, 476, 271, 3952, 269, 2701, 12599, 2786, 1524, 585, 476, 3445, 7643, 693, 513, 3432, 540, 476, 274, 269, 276, 3952, 829, 2034, 269, 2701, 1287, 12599, 2047, 909, 585, 476, 1789, 7643, 693, 513, 3432, 540, 476, 273, 269, 273, 3952, 829, 2034, 269, 2991, 713, 476, 6344, 2034, 1974, 267, 875, 1454, 942, 267, 538, 7643, 267, 786, 621, 1491, 585, 519, 10196, 547, 2951, 1394, 547, 4262, 1377, 693, 519, 26747, 779, 5021, 3432, 540, 476, 275, 269, 279, 3952, 829, 2034, 286, 18471, 707, 2626, 547, 519, 14282, 20870, 540, 513, 2034, 1848, 594, 991, 713, 2944, 4166, 267, 5225, 948, 269, 0, 763, 17537, 589, 3644, 267, 799, 3123, 17537, 589, 267, 568, 513, 3810, 21380, 6797, 17966, 618, 269, 634, 3644, 568, 835, 540, 1896, 5686, 540, 17537, 8290, 602, 2014, 6553, 543, 10556, 519, 1599, 540, 707, 6797, 563, 763, 1034, 1455, 2081, 547, 10536, 17537, 589, 616, 998, 512, 20557, 1426, 610, 4235, 267, 607, 1134, 607, 998, 15982, 3346, 609, 606, 7783, 1268, 610, 1843, 269, 22031, 22807, 589, 2665, 602, 616, 7646, 1810, 1406, 991, 547, 581, 5701, 269, 4107, 7783, 2043, 4628, 9156, 1510, 7680, 1022, 1279, 3856, 6797, 3441, 563, 3080, 540, 519, 6574, 2409, 547, 2061, 17537, 589, 568, 547, 2226, 5140, 9882, 267, 799, 2882, 1419, 11067, 707, 3946, 269, 1280, 1346, 945, 616, 1034, 693, 1981, 267, 10074, 616, 2139, 563, 29819, 543, 2589, 540, 17537, 589, 1419, 1810, 1406, 1020, 2394, 513, 1906, 4374, 1310, 24931, 519, 3968, 269, 22031, 22807, 589, 3335, 3217, 476, 1691, 1700, 2764, 2395, 547, 17861, 622, 269, 1717, 267, 711, 3025, 945, 814, 17537, 589, 2833, 891, 2589, 563, 268, 22582, 4743, 7210, 543, 13481, 454, 268, 2806, 12645, 15319, 1145, 3226, 593, 707, 5580, 1318, 2427, 896, 707, 2539, 28937, 630, 2421, 707, 6797, 994, 268, 14332, 601, 20517, 602, 723, 513, 10036, 2681, 454, 268, 25841, 14031, 454, 268, 589, 5634, 8611, 454, 268, 14730, 28797, 454, 268, 589, 4221, 10549, 454, 268, 634, 2960, 543, 519, 16543, 540, 707, 4064, 616, 4742, 5835, 630, 329, 16184, 823, 994, 268, 16200, 21422, 454, 2691, 17537, 589, 882, 22663, 267, 513, 1268, 945, 814, 5063, 16626, 3587, 2192, 2899, 811, 609, 606, 8650, 12558, 269, 901, 568, 7363, 4553, 676, 6051, 563, 763, 3644, 602, 3468, 338, 543, 4870, 1868, 6797, 2281, 568, 519, 2707, 540, 17537, 589, 269, 634, 6553, 666, 1764, 707, 6797, 779, 10342, 543, 1267, 538, 3606, 17537, 589, 2589, 563, 2691, 596, 8532, 1426, 610, 15559, 13572, 609, 28797, 267, 1256, 538, 8792, 5666, 267, 519, 3644, 568, 1034, 4749, 22412, 730, 269, 590, 928, 22689, 610, 23472, 1281, 711, 3262, 621, 563, 763, 17537, 589, 3644, 666, 3262, 538, 519, 1739, 2081, 267, 1851, 1866, 912, 268, 14856, 1426, 602, 814, 1044, 20109, 676, 513, 3644, 15298, 945, 18387, 1406, 5265, 18233, 741, 3946, 1310, 1210, 519, 1964, 3336, 454, 268, 769, 7465, 532, 512, 20557, 1216, 454, 268, 14856, 6151, 16872, 602, 729, 9575, 538, 21137, 9762, 3133, 730, 1216, 454, 268, 24367, 2673, 3346, 609, 606, 7783, 1268, 267, 1256, 952, 789, 1397, 1100, 2589, 2676, 268, 9861, 15982, 609, 513, 1268, 945, 814, 519, 3644, 454, 763, 17537, 589, 3644, 666, 581, 9571, 538, 707, 1560, 998, 1973, 4255, 269, 634, 8446, 540, 670, 16787, 10391, 6375, 15644, 6081, 717, 630, 296, 326, 300, 264, 12489, 538, 519, 1973, 2636, 585, 513, 5730, 5868, 269, 681, 27654, 13973, 848, 1790, 8432, 1067, 848, 5832, 5114, 630, 20670, 6261, 10135, 264, 29508, 616, 3606, 5773, 602, 666, 581, 1031, 538, 20682, 609, 1808, 3937, 547, 2697, 519, 17537, 589, 3644, 10717, 563, 295, 788, 22807, 589, 814, 1100, 1808, 2126, 269, 2659, 1560, 786, 6923, 7759, 3294, 540, 519, 17537, 589, 3644, 269, 22031, 22807, 589, 1419, 646, 1023, 519, 6797, 1510, 1022, 1279, 3856, 2360, 1369, 3670, 3275, 269, 9615, 585, 17537, 589, 1419, 11363, 4313, 5826, 543, 10835, 2359, 269, 1411, 1522, 723, 547, 912, 268, 10163, 281, 3509, 17537, 589, 2550, 1995, 9854, 267, 4576, 267, 543, 8519, 21755, 563, 268, 4039, 10079, 15353, 281, 14856, 1522, 581, 4101, 950, 4743, 562, 1021, 748, 269, 5502, 540, 4189, 1614, 6980, 513, 1554, 267, 2119, 562, 756, 17331, 2429, 519, 1554, 269, 16202, 811, 1164, 23343, 12929, 3688, 547, 2743, 707, 1608, 7595, 2115, 269, 1280, 3236, 267, 596, 666, 4235, 5144, 610, 4829, 10433, 3079, 540, 1216, 269, 769, 519, 2680, 602, 13481, 4386, 267, 621, 779, 2565, 547, 4235, 7899, 540, 12862, 547, 2057, 18024, 563, 268, 5213, 1406, 4235, 543, 946, 5061, 5402, 281, 634, 6797, 949, 723, 8373, 7558, 532, 4568, 543, 13310, 5061, 269, 589, 1268, 609, 17537, 1058, 17712, 664, 689, 6704, 269, 2859, 6797, 3441, 949, 1267, 689, 621, 269, 2353, 540, 707, 13310, 543, 936, 7308, 23716, 6527, 1058, 581, 5941, 609, 707, 4387, 563, 4263, 667, 7394, 2657, 543, 25682, 267, 519, 4966, 666, 1491, 1416, 540, 707, 8937, 269, 3371, 616, 519, 2533, 3177, 693, 667, 7394, 2657, 543, 25682, 454, 268, 16690, 9435, 30587, 454, 268, 595, 27112, 8376, 9615, 454, 4263, 667, 7394, 2657, 543, 25682, 267, 649, 723, 7189, 602, 666, 948, 596, 4383, 707, 2783, 269, 1280, 811, 1344, 267, 596, 666, 3643, 721, 693, 476, 9692, 278, 16381, 7219, 22971, 267, 27201, 267, 1715, 3840, 267, 476, 12208, 1321, 267, 610, 1289, 721, 593, 476, 272, 268, 31003, 268, 29575, 268, 6321, 280, 271, 610, 476, 272, 268, 31003, 268, 279, 6924, 268, 6200, 277, 269, 1411, 666, 849, 3643, 938, 3896, 693, 4179, 2517, 323, 7394, 327, 342, 3820, 610, 3346, 721, 693, 4757, 11333, 2593, 952, 596, 723, 1022, 14511, 269, 0, 15507, 1280, 589, 27824, 11612, 7714, 18548, 517, 5463, 599, 8033, 1132, 454, 288, 11612, 7714, 536, 657, 517, 9178, 532, 883, 513, 2098, 536, 657, 517, 9325, 543, 513, 27141, 729, 4362, 267, 2687, 547, 21575, 1210, 519, 14066, 16874, 1258, 7502, 3187, 630, 299, 18449, 264, 9325, 5787, 1807, 693, 595, 30204, 538, 2342, 267, 2063, 3018, 269, 901, 5393, 8966, 9178, 2680, 8761, 2629, 3877, 827, 519, 11612, 7714, 536, 657, 517, 543, 938, 1158, 563, 268, 634, 11612, 7714, 2361, 267, 513, 7061, 2361, 602, 13315, 782, 540, 838, 659, 8135, 267, 568, 5532, 547, 519, 11612, 7714, 536, 657, 517, 563, 268, 3487, 2873, 2744, 2527, 950, 789, 4497, 538, 269, 634, 11612, 7714, 7271, 568, 1018, 621, 568, 1572, 563, 268, 589, 1267, 540, 7648, 538, 519, 11612, 7714, 2361, 568, 519, 11612, 7714, 536, 657, 517, 563, 268, 634, 2527, 540, 513, 9325, 568, 5462, 676, 875, 9244, 621, 25998, 609, 519, 11612, 7714, 2361, 563, 268, 9861, 10026, 5536, 267, 9211, 2170, 609, 519, 11612, 7714, 2361, 543, 2744, 2527, 607, 513, 1267, 269, 1879, 3379, 547, 824, 5536, 267, 741, 5872, 568, 267, 18562, 267, 14320, 21260, 563, 268, 634, 4205, 1063, 519, 25499, 844, 10225, 540, 22571, 543, 25268, 267, 799, 616, 12432, 5536, 9967, 540, 844, 10225, 267, 2272, 585, 513, 2450, 762, 6824, 540, 741, 2527, 563, 268, 3194, 568, 4867, 5571, 547, 3313, 519, 5730, 3157, 602, 3132, 519, 13999, 540, 844, 10225, 563, 268, 4595, 22726, 616, 2527, 1652, 1016, 30061, 5536, 267, 789, 798, 711, 6292, 609, 519, 11612, 7714, 2361, 543, 798, 711, 2744, 2527, 3842, 519, 11612, 7714, 7271, 563, 268, 634, 11612, 7714, 5872, 267, 844, 1046, 4205, 267, 543, 519, 7915, 4162, 540, 519, 5536, 2933, 616, 1851, 519, 2188, 602, 1860, 519, 13999, 540, 5536, 899, 9211, 267, 22571, 267, 25268, 267, 543, 22726, 563, 268, 634, 5726, 540, 1648, 543, 824, 22317, 7061, 2338, 1827, 519, 9178, 540, 513, 11612, 7714, 536, 657, 517, 883, 513, 2098, 536, 657, 517, 543, 513, 27141, 563, 268, 634, 3877, 540, 9325, 9178, 267, 1519, 519, 9178, 540, 519, 11612, 7714, 536, 657, 517, 267, 616, 1739, 519, 6384, 540, 9325, 4205, 543, 519, 28975, 540, 7061, 2361, 3069, 563, 268, 4197, 9325, 4205, 267, 3226, 4205, 609, 519, 11612, 7714, 2361, 543, 9178, 3157, 267, 3091, 1271, 1007, 5380, 593, 519, 7122, 779, 2596, 2497, 543, 519, 4162, 540, 519, 5536, 602, 1118, 621, 909, 563, 24342, 543, 20480, 454, 268, 4340, 547, 7061, 2361, 3069, 267, 2230, 693, 519, 1016, 30061, 4336, 568, 711, 8900, 855, 2864, 4904, 609, 8795, 7061, 4610, 267, 799, 2099, 4205, 1063, 4909, 5536, 563, 268, 2755, 5691, 5536, 3112, 581, 2047, 4857, 267, 741, 2360, 666, 581, 2938, 269, 14044, 5536, 616, 5536, 602, 2408, 543, 14897, 538, 891, 7061, 4610, 563, 268, 5019, 976, 1159, 1662, 693, 1164, 19367, 693, 519, 14066, 16874, 1258, 7502, 3187, 630, 299, 18449, 1070, 606, 5787, 1807, 1031, 547, 1382, 5536, 543, 741, 4162, 563, 268, 589, 9325, 4448, 547, 519, 11612, 7714, 2361, 267, 799, 3947, 824, 5536, 2527, 267, 568, 519, 11612, 7714, 536, 657, 517, 267, 799, 729, 1336, 693, 519, 700, 18449, 538, 476, 1001, 273, 563, 268, 2991, 1373, 3812, 538, 9325, 21611, 267, 519, 11612, 7714, 536, 657, 517, 568, 18633, 543, 6385, 1232, 904, 883, 14402, 5536, 563, 268, 5221, 789, 7866, 3877, 827, 9325, 4162, 543, 5512, 4152, 540, 9208, 7844, 11236, 267, 519, 11612, 7714, 536, 657, 517, 779, 9178, 10092, 616, 540, 16854, 1719, 563, 268, 634, 9208, 7844, 568, 519, 1699, 7811, 5943, 540, 9325, 6323, 602, 8308, 6257, 1082, 12268, 1834, 4205, 563, 268, 634, 9208, 7844, 25221, 519, 17831, 540, 1114, 9178, 11444, 585, 519, 11612, 7714, 536, 657, 517, 1759, 593, 922, 2527, 563, 268, 1280, 1383, 267, 519, 9208, 7844, 25221, 602, 513, 11612, 7714, 536, 657, 517, 609, 513, 2527, 540, 476, 10219, 5479, 6475, 24311, 11305, 317, 273, 630, 324, 309, 11305, 317, 273, 264, 786, 9178, 547, 513, 2098, 536, 657, 517, 543, 513, 27141, 827, 476, 271, 269, 272, 260, 540, 519, 942, 563, 268, 634, 2098, 536, 657, 517, 267, 849, 18633, 267, 666, 2417, 9178, 883, 1114, 10659, 540, 5536, 267, 971, 607, 1079, 18665, 976, 563, 268, 8212, 3173, 666, 5635, 741, 4681, 609, 519, 11236, 540, 519, 9208, 7844, 543, 1413, 585, 27753, 676, 6313, 519, 12451, 693, 799, 891, 1232, 904, 1491, 1747, 563, 268, 898, 949, 581, 2009, 547, 3605, 7648, 689, 519, 17191, 9178, 3928, 602, 1448, 547, 519, 4527, 540, 3606, 5536, 610, 4205, 3544, 519, 7706, 540, 519, 9208, 7844, 563, 268, 634, 11083, 299, 3008, 543, 595, 5960, 22572, 693, 519, 700, 18449, 723, 5063, 6027, 519, 11612, 7714, 536, 657, 517, 779, 9178, 547, 513, 2098, 536, 657, 517, 543, 513, 27141, 267, 799, 568, 513, 1900, 2509, 2357, 4328, 713, 1880, 9178, 8905, 563, 268, 1677, 22962, 519, 9165, 540, 741, 19707, 543, 2087, 741, 8579, 6111, 267, 519, 22572, 24673, 741, 1239, 689, 519, 1296, 476, 1001, 276, 547, 476, 1001, 279, 563, 268, 1677, 1449, 519, 9208, 7844, 779, 11236, 607, 4010, 607, 2009, 543, 1413, 585, 1022, 3604, 602, 1131, 5815, 519, 6228, 540, 3209, 6323, 3544, 540, 519, 9208, 7844, 267, 21575, 979, 547, 1390, 13080, 547, 1265, 891, 1232, 904, 563, 268, 29362, 883, 519, 2527, 540, 519, 11612, 7714, 536, 657, 517, 610, 519, 7778, 540, 13410, 899, 4158, 2339, 949, 581, 7000, 676, 519, 6602, 540, 3209, 9259, 998, 9178, 11444, 563, 268, 3487, 1834, 9178, 3157, 616, 5402, 6594, 676, 21575, 547, 4434, 3621, 1702, 543, 1732, 9787, 519, 7122, 779, 2596, 3741, 269, 0, 25842, 540, 8934, 22451, 593, 8819, 1886, 617, 7387, 19916, 454, 296, 569, 534, 817, 320, 1073, 810, 2280, 320, 568, 513, 7286, 8819, 1886, 617, 602, 666, 581, 7783, 676, 8370, 1114, 2249, 540, 1726, 3901, 1712, 15495, 269, 1452, 25658, 616, 2219, 547, 2661, 3476, 982, 476, 736, 1296, 267, 543, 2899, 789, 1831, 8934, 527, 1242, 267, 621, 568, 12691, 602, 789, 2479, 1831, 796, 17126, 539, 269, 2060, 971, 1279, 12468, 335, 753, 543, 609, 1279, 3856, 5563, 267, 621, 568, 2009, 602, 15495, 723, 513, 1804, 1198, 593, 7387, 3337, 269, 3509, 2090, 723, 8947, 594, 269, 1073, 810, 2280, 320, 543, 741, 15495, 267, 855, 1100, 1353, 814, 8947, 875, 8934 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 2962, 547, 2539, 1648, 4616, 543, 11753, 811, 5710, 1963, 269, 901, 1223, 849, 581, 6462, 538, 7616, 7405, 971, 607, 519, 3864, 4317, 8750, 855, 849, 3084, 2916, 7616, 563, 2026, 938, 5656, 1232, 12365, 1047, 543, 11457, 2509, 811, 5610, 609, 938, 1648, 543, 3560, 1949, 267, 621, 568, 1883, 602, 519, 21768, 9720, 7028, 713, 4674, 543, 5849, 5656, 666, 581, 7791, 1648, 32387, 269, 16949, 609, 1648, 1949, 666, 581, 19658, 676, 14178, 12957, 543, 1852, 1949, 547, 811, 5656, 267, 676, 16715, 519, 16601, 5934, 4390, 585, 16601, 645, 3722, 306, 10380, 630, 5228, 519, 1699, 476, 23310, 330, 310, 540, 8022, 11305, 944, 532, 1379, 547, 476, 3583, 330, 310, 264, 543, 1519, 519, 10821, 5823, 269, 2060, 3059, 5314, 267, 649, 616, 1565, 827, 519, 1761, 540, 1239, 543, 5656, 616, 1100, 9868, 269, 4578, 6383, 676, 12957, 1949, 1058, 581, 1500, 2139, 547, 3791, 6105, 9117, 593, 15773, 6800, 267, 7654, 538, 1483, 6066, 267, 547, 5512, 1007, 2533, 971, 607, 6552, 1648, 2359, 543, 16762, 5826, 563, 12552, 547, 519, 1646, 540, 6850, 2173, 984, 1006, 267, 938, 5656, 666, 4324, 689, 741, 5610, 609, 938, 3560, 1062, 269, 634, 21768, 9720, 2907, 22509, 1177, 519, 7041, 540, 1286, 11614, 585, 12601, 12123, 267, 855, 713, 1590, 1631, 979, 1454, 2417, 269, 1284, 1294, 1100, 1448, 538, 2679, 1007, 18736, 5624, 602, 616, 711, 630, 8243, 691, 264, 12123, 4712, 269, 901, 1797, 4180, 602, 972, 616, 31026, 1080, 585, 5122, 10814, 3056, 547, 782, 18736, 5624, 543, 3246, 1804, 10276, 965, 5122, 19698, 547, 1379, 607, 1082, 5056, 619, 607, 972, 616, 18736, 5624, 563, 2026, 649, 23362, 24098, 519, 5305, 540, 519, 21768, 9720, 16516, 585, 4571, 268, 20103, 267, 649, 5000, 596, 547, 723, 513, 1413, 693, 938, 0, 8005, 1284, 3657, 6215, 1478, 700, 6839, 339, 454, 15933, 3354, 1797, 2348, 1569, 547, 2614, 1426, 585, 606, 3742, 267, 2635, 1272, 267, 1247, 1426, 22584, 568, 513, 7622, 1377, 2804, 543, 1514, 2783, 10503, 3908, 610, 7334, 1569, 547, 7850, 1426, 269, 1426, 22584, 2164, 538, 4389, 610, 22314, 1426, 6981, 3056, 547, 4057, 1072, 4093, 269, 538, 476, 1001, 280, 267, 936, 476, 1724, 260, 540, 721, 10820, 941, 269, 4934, 2492, 2822, 545, 10937, 281, 476, 272, 269, 513, 1267, 610, 1198, 540, 606, 2962, 267, 3510, 267, 3092, 12727, 476, 273, 269, 513, 1267, 610, 1198, 540, 606, 2962, 16634, 9419, 1221, 385, 374, 23313, 384, 503, 530, 328, 384, 503, 576, 329, 269, 7731, 543, 1072, 5640, 2303, 602, 838, 11817, 949, 605, 323, 741, 1713, 1866, 547, 4497, 538, 811, 1072, 5009, 5615, 630, 13246, 517, 267, 31832, 333, 4141, 267, 1696, 620, 1421, 476, 1001, 271, 1040, 891, 8942, 949, 581, 513, 2707, 540, 11508, 267, 2870, 8833, 538, 519, 2078, 282, 2705, 267, 713, 6422, 949, 1869, 3565, 547, 1732, 1072, 4093, 585, 4587, 4079, 269, 24951, 1114, 1072, 4324, 1154, 2188, 267, 1124, 781, 3226, 2178, 7681, 609, 1896, 2790, 1072, 4093, 949, 1267, 689, 922, 12497, 1436, 607, 519, 1034, 3102, 4187, 269, 7348, 4812, 281, 4657, 522, 18925, 4093, 6238, 609, 811, 1072, 1544, 5079, 585, 2021, 267, 1453, 269, 952, 522, 18925, 568, 4712, 547, 1118, 4028, 7760, 538, 17444, 3294, 856, 540, 2063, 1747, 538, 1072, 4093, 267, 621, 6238, 609, 875, 649, 1416, 585, 938, 1453, 269, 522, 18925, 568, 19486, 1100, 269, 476, 4510, 538, 519, 4182, 538, 1072, 4093, 585, 1453, 267, 2687, 547, 519, 476, 1708, 272, 563, 16032, 1072, 1416, 4093, 2009, 1759, 593, 519, 6388, 540, 3621, 2963, 543, 1655, 2963, 1759, 4791, 2853, 2139, 269, 519, 3483, 540, 713, 1957, 568, 547, 2491, 875, 3106, 543, 2298, 6454, 630, 336, 328, 264, 7341, 3035, 1164, 2298, 4093, 585, 2550, 543, 875, 606, 1620, 540, 519, 3347, 1851, 1382, 267, 2963, 269, 19410, 776, 593, 2433, 530, 836, 586, 267, 1990, 836, 27976, 267, 536, 2967, 795, 267, 1696, 620, 269, 1198, 540, 1072, 3661, 2203, 1759, 8808, 6304, 593, 24349, 2550, 609, 9793, 547, 4049, 5312, 30126, 17422, 2068, 281, 513, 4351, 2213, 6417, 4693, 269, 795, 3714, 5740, 476, 1001, 275, 282, 2537, 281, 16328, 273, 1700, 7871, 16804, 13449, 14766, 6012, 29589, 10915, 6012, 335, 889, 4364, 316, 972, 568, 513, 3395, 1560, 540, 2963, 602, 12016, 3366, 2068, 2359, 7459, 267, 799, 1419, 1331, 1582, 269, 3502, 1152, 616, 2963, 1759, 5574, 711, 1373, 4922, 1031, 267, 610, 8045, 609, 535, 23474, 630, 321, 1157, 2006, 476, 1220, 279, 320, 1070, 855, 1344, 593, 2126, 4093, 585, 1762, 4079, 513, 942, 950, 2790, 1072, 1981, 563, 23005, 514, 1218, 2986, 2657, 1107, 589, 19750, 13979, 2336, 10472, 3381, 568, 513, 476, 275, 8792, 5758, 540, 519, 21876, 540, 1072, 256, 21876, 616, 2188, 602, 666, 3310, 513, 1268, 781, 1072, 269, 554, 657, 476, 275, 8792, 2866, 676, 1072, 4093, 2994, 267, 575, 3387, 327, 1072, 15259, 1547, 703, 601, 747, 691, 781, 2635, 4093, 3760, 568, 513, 3102, 24194, 540, 3461, 6278, 3435, 2966, 547, 24672, 1018, 4568, 1281, 547, 707, 1560, 538, 713, 3381, 267, 1175, 514, 689, 519, 20576, 540, 1480, 14169, 11828, 519, 1585, 3889, 2070, 2407, 3992, 281, 1196, 269, 1540, 4245, 875, 519, 1426, 596, 3548, 5540, 707, 8937, 695, 559, 11985, 986, 767, 5055, 519, 4551, 538, 938, 575, 7491, 666, 2736, 1018, 1705, 519, 476, 1001, 278, 3084, 3537, 12562, 540, 9443, 476, 5379, 279, 2985, 1867, 9959, 827, 15267, 286, 1007, 32224, 547, 938, 17157, 11301, 5491, 547, 17157, 691, 5399, 1965, 331, 1072, 2042, 6863, 1965, 331, 1072, 2042, 3756, 1965, 331, 1072, 2042, 6947, 1965, 331, 2070, 2407, 3992, 281, 1196, 269, 1540, 4245, 875, 2566, 5540, 707, 1560, 5857, 517, 554, 2803, 327, 536, 1120, 638, 626, 938, 2182, 29040, 2566, 3210, 14614, 29473, 345, 903, 345, 322, 345, 7431, 1775, 29473, 564, 795, 629, 22119, 330, 578, 344, 547, 524, 345, 384, 503, 560, 334, 588, 657, 578, 2033, 1050, 330, 1399, 269, 522, 1624, 773, 5104, 385, 376, 562, 27558, 22119, 655, 4670, 269, 546, 17844, 23410, 1566, 578, 22044, 267, 1071, 546, 1690, 324, 14614, 1990, 530, 617, 384, 483, 2070, 2407, 3992, 281, 1196, 269, 1540, 4245, 875, 798, 11950, 1764, 707, 1072, 3638, 731, 795, 3574, 519, 1919, 649, 3548, 543, 4235, 630, 275, 281, 1789, 1292, 6881, 264, 1743, 269, 29122, 561, 755, 580, 267, 579, 14369, 325, 6498, 540, 12963, 1439, 4531, 11659, 267, 10311, 1010, 1360, 2442, 3381, 968, 338, 13610, 281, 887, 345, 332, 16305, 1990, 1743, 737, 7056, 384, 483, 524, 32581, 322, 345, 528, 536, 1716, 520, 1990, 1990, 752, 22119, 611, 340, 2618, 860, 4512, 15662, 375, 344, 342, 1329, 807, 476, 2354, 579, 342, 337, 267, 522, 954, 342, 16780, 329, 778, 1768, 1901, 14280, 322, 345, 5500, 577, 546, 5055, 737, 984, 2884, 0, 2710, 596, 1616, 547, 1451, 875, 547, 1305, 909, 707, 32588, 17002, 286, 1403, 9811, 267, 3643, 519, 3095, 1775, 329, 269, 11034, 269, 4754, 517, 689, 513, 1357, 11422, 543, 4945, 5590, 5455, 630, 9359, 3371, 1040, 3367, 519, 3391, 2016, 2630, 547, 2347, 707, 32588, 17002, 563, 8368, 540, 12937, 454, 2414, 1305, 909, 513, 32588, 17002, 267, 1246, 891, 2241, 3268, 563, 7230, 913, 519, 32588, 17002, 689, 922, 4216, 563, 9202, 267, 1413, 585, 519, 6044, 8261, 610, 2228, 8261, 693, 1775, 329, 269, 11034, 269, 4754, 517, 547, 2327, 596, 10093, 1406, 16618, 4376, 563, 2414, 2490, 621, 593, 267, 2046, 519, 5295, 7735, 563, 1103, 519, 1957, 26745, 267, 1747, 513, 4062, 540, 1957, 563, 763, 17002, 1058, 581, 5828, 593, 693, 713, 1448, 563, 1103, 519, 3403, 543, 3977, 911, 903, 267, 1747, 519, 7047, 5090, 2471, 543, 9212, 540, 1957, 267, 6606, 563, 763, 1775, 329, 269, 11034, 269, 4754, 517, 17002, 568, 1631, 4712, 547, 946, 1310, 1373, 5828, 593, 563, 31282, 593, 707, 17002, 543, 1246, 519, 5528, 593, 519, 5496, 563, 13356, 728, 593, 513, 9053, 1893, 563, 763, 17002, 1101, 16493, 513, 1449, 1820, 547, 19022, 519, 21870, 269, 901, 1797, 519, 17002, 16976, 1141, 547, 1820, 593, 519, 6656, 540, 1957, 563, 13425, 547, 1294, 952, 519, 1820, 7208, 1571, 707, 6788, 269, 1403, 711, 267, 979, 883, 519, 5468, 543, 19268, 519, 21870, 563, 13729, 519, 20111, 593, 547, 3514, 519, 31554, 563, 5475, 1189, 267, 2196, 519, 17655, 1184, 563, 10190, 267, 4945, 519, 32588, 1489, 3095, 1775, 329, 269, 11034, 269, 4754, 517, 693, 519, 5377, 540, 519, 6241, 547, 4647, 519, 2556, 3301, 563, 1103, 519, 3406, 3046, 267, 1826, 519, 2012, 540, 707, 17002, 779, 1587, 267, 610, 2824, 519, 1318, 17002, 1920, 689, 519, 6749, 16365, 10624, 896, 2048, 572, 937, 1587, 269, 8072, 454, 763, 2203, 543, 519, 17626, 1297, 540, 707, 17002, 666, 581, 1336, 593, 519, 4395, 267, 593, 519, 4216, 267, 543, 538, 519, 8261, 563, 15675, 519, 5665, 1062, 596, 1616, 547, 3888, 519, 17002, 593, 267, 899, 8837, 476, 1015, 610, 5672, 5308, 267, 896, 667, 31034, 563, 12812, 593, 8281, 693, 1775, 329, 269, 11034, 269, 4754, 517, 563, 3086, 596, 666, 1376, 1210, 519, 3301, 563, 16521, 2436, 596, 6999, 547, 1921, 547, 519, 17002, 3842, 31923, 610, 513, 17002, 5911, 563, 763, 3301, 568, 2653, 547, 3888, 543, 1152, 3217, 513, 1906, 3764, 563, 7883, 547, 707, 17002, 779, 23994, 267, 1287, 27620, 23994, 267, 543, 6368, 29942, 29135, 23994, 563, 5804, 519, 6749, 16365, 4781, 267, 3442, 4347, 5435, 23994, 610, 5590, 1575, 1510, 10814, 563, 24876, 707, 3060, 513, 2189, 2012, 269, 9399, 2839, 6763, 585, 6796, 5590, 5772, 8595, 563, 10190, 267, 4283, 519, 10957, 585, 707, 31923, 3060, 563, 12812, 519, 15528, 7735, 563, 19530, 519, 1101, 2985, 543, 10544, 513, 1820, 719, 689, 519, 17002, 563, 763, 17002, 568, 1631, 27358, 269, 5269, 707, 1101, 1820, 547, 1205, 3323, 563, 9596, 547, 3888, 519, 13504, 7047, 16466, 538, 513, 32588, 17002, 563, 5575, 267, 1118, 2386, 547, 4444, 519, 3617, 13504, 865, 602, 621, 13352, 865, 1510, 2417, 740, 334, 563, 9202, 267, 979, 6619, 543, 12740, 519, 1292, 3296, 540, 519, 17002, 547, 1930, 909, 519, 851, 1141, 519, 7047, 16466, 27061, 616, 4092, 563, 3086, 267, 581, 2386, 602, 519, 1775, 329, 269, 11034, 269, 4754, 517, 17002, 568, 593, 865, 602, 519, 7047, 16466, 27061, 979, 1318, 547, 519, 1647, 563, 10190, 267, 1018, 596, 2461, 2469, 547, 798, 568, 1175, 7903, 2786, 909, 593, 1312, 540, 891, 602, 779, 519, 2681, 538, 519, 3109, 267, 543, 2322, 621, 1318, 972, 563, 2791, 1810, 1406, 991, 547, 4945, 610, 4376, 1175, 2322, 621, 1318, 883, 922, 18921, 267, 543, 713, 568, 1141, 519, 4945, 568, 2469, 547, 581, 607, 596, 5873, 602, 267, 1175, 7903, 713, 1318, 1394, 1524, 563, 1607, 568, 875, 596, 666, 3888, 519, 13504, 7047, 16466, 538, 513, 32588, 17002, 585, 519, 1101, 942, 610, 2322, 538, 1007, 3283, 593, 707, 32588, 7047, 16466, 563, 2252, 891, 3268, 1810, 1406, 960, 267, 979, 547, 1775, 329, 269, 11034, 269, 4754, 517, 543, 1224, 519, 2228, 8261, 585, 707, 17374, 17002, 2203, 563, 2080, 779, 875, 547, 4368, 519, 2152, 1247, 16459, 519, 1775, 329, 269, 11034, 269, 4754, 517, 10256, 563, 5575, 267, 2824, 27620, 689, 519, 3399, 10624, 563, 12812, 3399, 267, 1287, 3733, 8950, 538, 8837, 2473, 303, 563, 12812, 2389, 342, 823, 519, 3733, 8950, 12835, 593, 519, 18376, 538, 8837, 476, 1220, 271, 563, 1103, 519, 10268, 6885, 267, 5595, 26487, 519, 7131, 268, 15375, 3090, 269, 8437, 2389, 342, 823, 9049, 4953, 16810, 275, 9950, 311, 292, 952, 519, 9115, 540, 519, 7131, 268, 15375, 616, 10268, 563, 2414, 2253, 519, 10380, 267, 4945, 2389, 342, 823, 519, 7131, 268, 15375, 12835, 593, 707, 18376, 563, 9202, 267, 1118, 2386, 602, 519, 17002, 568, 4448, 547, 519, 3926, 543, 519, 17002, 568, 5828, 593, 563, 2252, 596, 616, 8572, 547, 1847, 2417, 547, 519, 1985, 4276, 5496, 267, 1118, 2386, 602, 519, 18292, 10814, 568, 5265, 7923, 547, 519, 17002, 779, 18292, 2823, 543, 4448, 547, 519, 3926, 267, 543, 1287, 5368, 560, 718, 519, 1775, 329, 269, 11034, 269, 4754, 517, 9920, 1210, 519, 3268, 2630, 563, 4002, 519, 2398, 5793, 17583, 5496, 267, 2824, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 7176, 275, 275, 268, 280, 5952, 279, 269, 853, 718, 731, 267, 681, 12171, 1421, 543, 808, 8160, 269, 3798, 12107, 630, 2735, 274, 1040, 2983, 17190, 540, 519, 8835, 4083, 267, 634, 3310, 540, 519, 20569, 543, 29056, 1604, 593, 519, 15702, 4452, 267, 4750, 540, 2983, 26491, 3194, 6434, 267, 476, 280, 6858, 272, 268, 280, 6924, 279, 269, 853, 718, 731, 267, 681, 12171, 1421, 543, 808, 8160, 269, 3798, 12107, 630, 2735, 278, 1040, 2983, 17190, 540, 519, 8835, 8633, 267, 16661, 532, 7998, 543, 7182, 547, 15702, 11378, 267, 4750, 540, 2983, 26491, 3194, 10844, 267, 476, 279, 3066, 274, 268, 279, 1789, 273, 269, 590, 1872, 1177, 4673, 267, 918, 11053, 269, 962, 25493, 327, 4673, 267, 918, 269, 25463, 698, 328, 267, 543, 631, 269, 2549, 2041, 630, 2735, 273, 1040, 589, 1007, 3114, 1935, 547, 519, 1353, 540, 7297, 540, 24398, 269, 17540, 10202, 26195, 597, 976, 267, 5246, 643, 269, 10281, 13681, 2723, 269, 476, 11463, 267, 476, 29483, 268, 26326, 269, 570, 675, 330, 1014, 267, 918, 14389, 269, 630, 3422, 280, 1040, 744, 10895, 267, 12535, 267, 543, 5790, 267, 538, 18361, 540, 2983, 17190, 267, 918, 13034, 269, 11205, 788, 2129, 331, 267, 1196, 1421, 22219, 13305, 518, 25419, 267, 12670, 267, 6032, 269, 476, 29574, 268, 26825, 269, 966, 10719, 267, 589, 11065, 269, 630, 3192, 276, 1040, 634, 3761, 540, 6886, 547, 9341, 8933, 543, 12647, 630, 308, 326, 7701, 1070, 538, 21676, 7204, 540, 8092, 543, 4826, 7010, 267, 589, 269, 667, 269, 13201, 2401, 267, 1196, 1421, 22219, 267, 1715, 3840, 267, 6032, 269, 476, 25375, 268, 28360, 269, 9931, 532, 267, 667, 9950, 1421, 543, 589, 13034, 6993, 269, 21890, 334, 630, 3192, 280, 1040, 20767, 2939, 11729, 540, 8933, 538, 2127, 540, 1970, 13247, 267, 4139, 5948, 540, 10281, 25233, 3163, 22910, 12553, 267, 476, 5325, 280, 268, 5392, 274, 269, 9931, 532, 267, 667, 9950, 1421, 543, 645, 15030, 269, 30197, 630, 2735, 274, 1040, 634, 15702, 4452, 540, 8933, 281, 589, 2518, 7650, 267, 4139, 5948, 540, 10281, 25233, 3163, 22910, 15221, 267, 476, 274, 268, 736, 269, 12070, 330, 8657, 267, 645, 13034, 1421, 543, 808, 5861, 14371, 269, 21701, 630, 2735, 280, 1040, 1912, 534, 3266, 15605, 545, 15203, 540, 24348, 3327, 919, 267, 1977, 4750, 540, 3163, 29579, 267, 476, 30589, 268, 276, 4366, 563, 11847, 6974, 894, 2474, 689, 3003, 3184, 281, 0, 299, 5271, 328, 25599, 1068, 267, 9375, 2987, 268, 27815, 538, 7111, 12694, 269, 17564, 19314, 303, 12114, 595, 12767, 298, 5442, 14888, 3198, 19419, 27263, 9569, 834, 312, 16518, 267, 2576, 5143, 803, 594, 1058, 723, 8694, 713, 13186, 593, 513, 1164, 4063, 269, 594, 2219, 827, 621, 269, 1215, 1223, 594, 286, 834, 24216, 918, 22088, 4107, 11839, 607, 1352, 729, 10647, 519, 834, 9199, 559, 540, 12280, 257, 13186, 593, 14349, 12784, 693, 519, 20283, 532, 540, 519, 8000, 1177, 520, 23449, 8315, 563, 298, 22088, 4107, 11839, 12854, 910, 18299, 523, 8000, 1177, 520, 23449, 543, 454, 17445, 528, 540, 519, 8836, 11595, 4741, 454, 763, 8000, 1177, 520, 23449, 20417, 540, 12280, 729, 519, 3460, 540, 8000, 1177, 520, 23449, 689, 18518, 547, 519, 9299, 597, 625, 540, 17857, 269, 634, 476, 32133, 13304, 3460, 729, 519, 7142, 8851, 540, 476, 5952, 280, 8000, 1177, 520, 23449, 538, 476, 8146, 279, 269, 898, 3459, 538, 3828, 514, 20463, 267, 18518, 267, 2282, 623, 569, 17625, 267, 593, 5181, 476, 275, 543, 8694, 1079, 3275, 2663, 593, 5437, 476, 275, 563, 306, 611, 569, 267, 1282, 891, 1079, 3275, 267, 936, 476, 2412, 8000, 1177, 520, 23449, 5747, 2059, 519, 1259, 269, 8409, 945, 5747, 941, 6140, 1453, 543, 22242, 269, 4107, 540, 1346, 945, 5747, 1705, 865, 607, 519, 1267, 540, 27193, 1355, 8611, 269, 901, 568, 1946, 519, 3460, 568, 1634, 607, 519, 20417, 540, 12280, 563, 293, 659, 22626, 519, 13186, 2185, 2053, 1282, 519, 1576, 540, 519, 20283, 532, 540, 519, 8000, 1177, 520, 23449, 8315, 267, 4107, 11839, 267, 945, 568, 519, 8689, 540, 519, 18299, 523, 8000, 1177, 520, 23449, 13780, 8836, 11595, 4741, 538, 26396, 26234, 267, 20274, 267, 4362, 602, 1256, 1851, 8000, 1177, 520, 23449, 267, 519, 5318, 5354, 1705, 711, 917, 827, 519, 8000, 1177, 520, 23449, 20417, 540, 12280, 563, 1607, 16503, 1674, 729, 19537, 1233, 676, 513, 8000, 1177, 520, 23449, 1282, 454, 1492, 20417, 540, 12280, 538, 476, 8146, 279, 454, 10527, 1101, 1554, 594, 4280, 585, 513, 1397, 540, 3946, 540, 875, 1082, 1004, 4862, 827, 519, 31180, 20417, 540, 570, 8986, 269, 15526, 781, 1688, 4682, 909, 269, 3973, 594, 4280, 827, 519, 7043, 12532, 540, 519, 18937, 26953, 269, 4107, 3946, 4682, 909, 269, 1809, 267, 950, 594, 4280, 519, 1101, 13186, 540, 476, 2004, 1004, 875, 1082, 6785, 827, 519, 8000, 1177, 520, 23449, 20417, 540, 12280, 267, 1152, 827, 476, 1015, 3946, 4682, 909, 2223, 454, 4407, 519, 476, 8146, 279, 8851, 729, 835, 540, 12964, 540, 519, 8000, 1177, 520, 23449, 689, 519, 4279, 20463, 3148, 267, 621, 568, 519, 1655, 1634, 1317, 540, 519, 16663, 2404, 609, 519, 7972, 563, 763, 20417, 540, 12280, 7018, 1310, 513, 8000, 1177, 520, 23449, 6205, 3957, 9093, 558, 710, 324, 15189, 547, 1129, 513, 14097, 547, 4734, 1010, 8498, 693, 3828, 514, 20463, 267, 18518, 547, 979, 547, 17857, 267, 607, 824, 8000, 1177, 520, 23449, 1705, 269, 2991, 9093, 558, 710, 324, 781, 30671, 267, 519, 17294, 540, 18518, 10288, 519, 17740, 807, 547, 4894, 873, 563, 2026, 519, 7972, 7018, 267, 519, 4666, 941, 12617, 2059, 519, 8905, 563, 2108, 4322, 3276, 10118, 941, 1996, 519, 5389, 540, 519, 8000, 1177, 520, 23449, 267, 945, 1185, 1978, 12738, 519, 5340, 585, 741, 4666, 269, 634, 3802, 1705, 711, 1450, 873, 519, 1697, 942, 547, 798, 1018, 789, 1131, 723, 2944, 1185, 789, 711, 1044, 10707, 269, 3502, 1152, 1705, 519, 8000, 1177, 520, 23449, 723, 547, 4308, 609, 519, 2530, 540, 741, 6068, 3283, 267, 855, 972, 729, 8969, 827, 741, 3460, 547, 519, 6891, 1158, 2223, 454, 298, 22088, 4107, 11839, 12854, 1530, 4060, 547, 4855, 513, 4400, 8074, 454, 7628, 519, 13186, 267, 4107, 11839, 11329, 547, 513, 1895, 4557, 22242, 689, 519, 18299, 523, 8000, 1177, 520, 23449, 13780, 1459, 945, 616, 1463, 13956, 757, 540, 15000, 540, 519, 20417, 540, 12280, 563, 7197, 11839, 267, 945, 786, 7118, 513, 12854, 689, 519, 2160, 540, 7147, 693, 21388, 713, 5412, 267, 1767, 1352, 729, 20938, 593, 875, 18906, 633, 1004, 538, 519, 5304, 941, 269, 2368, 476, 6344, 13984, 519, 2185, 267, 476, 272, 16006, 5662, 1279, 11925, 1282, 519, 20283, 532, 563, 14881, 7058, 519, 1164, 4063, 267, 952, 972, 568, 835, 267, 568, 649, 267, 8000, 1177, 520, 23449, 267, 723, 15068, 689, 713, 13249, 8851, 2223, 454, 14071, 666, 2744, 4222, 689, 6616, 972, 941, 15000, 540, 519, 20417, 540, 12280, 3034, 14006, 539, 4864, 476, 1626, 267, 476, 1001, 273, 476, 279, 281, 2412, 993, 1196, 339, 0, 306, 3975, 5530, 910, 14956, 2863, 807, 838, 563, 11854, 2886, 281, 14956, 2863, 807, 838, 563, 306, 3975, 1782, 8446, 281, 595, 582, 344, 1194, 976, 616, 30362, 538, 5920, 267, 543, 6960, 880, 538, 2681, 269, 1975, 1149, 616, 6654, 2899, 519, 6565, 6238, 547, 10836, 563, 12441, 1411, 5700, 888, 763, 10060, 700, 11035, 630, 8867, 1075, 4531, 25177, 1395, 11927, 636, 264, 814, 1896, 1455, 4408, 1519, 5070, 561, 1176, 267, 27041, 561, 1176, 267, 7823, 561, 1176, 267, 3552, 16321, 846, 267, 543, 10060, 6361, 5174, 996, 548, 1335, 269, 634, 2262, 2274, 1075, 4531, 25177, 2501, 689, 5259, 2495, 834, 19009, 561, 1176, 1701, 2859, 1862, 0, 344, 8986, 540, 2085, 6902, 519, 5106, 585, 688, 516, 9067, 2348, 1044, 5340, 1282, 26638, 563, 763, 5959, 2895, 3079, 540, 2348, 519, 4560, 630, 514, 6476, 609, 519, 2450, 540, 519, 1964, 540, 519, 2212, 267, 264, 540, 519, 3339, 10265, 568, 1336, 547, 581, 9765, 5944, 26438, 267, 519, 1079, 19114, 540, 519, 535, 1170, 675, 538, 519, 31276, 6897, 25170, 1373, 1360, 2282, 1927, 267, 952, 711, 538, 4890, 3346, 609, 1142, 824, 563, 3528, 713, 942, 519, 6712, 540, 519, 31370, 267, 602, 538, 6689, 3812, 519, 5920, 540, 513, 5595, 1579, 1111, 786, 723, 4957, 922, 2990, 267, 543, 519, 3461, 786, 723, 602, 1106, 540, 31370, 267, 799, 568, 1336, 538, 1034, 540, 891, 4049, 2665, 563, 5472, 713, 568, 3812, 267, 594, 1589, 267, 676, 519, 19432, 540, 519, 9067, 1310, 519, 5106, 814, 1044, 5340, 593, 621, 269, 634, 11931, 2604, 799, 267, 607, 519, 10138, 646, 1023, 267, 568, 25116, 593, 519, 1079, 13980, 540, 519, 10265, 267, 7930, 4114, 23660, 519, 18751, 19114, 540, 519, 1579, 1111, 267, 543, 693, 519, 1482, 942, 735, 1564, 519, 3844, 6712, 540, 519, 31370, 547, 799, 594, 723, 6537, 3007, 267, 547, 8263, 513, 7299, 3079, 540, 606, 8880, 2990, 267, 607, 693, 4332, 269, 589, 6297, 6514, 540, 519, 12400, 538, 4704, 547, 713, 2339, 267, 786, 594, 1589, 7703, 856, 713, 2070, 563, 2690, 519, 14169, 540, 1579, 1111, 31370, 594, 993, 7361, 967, 20623, 1540, 547, 11184, 5261, 674, 1120, 1380, 517, 267, 945, 930, 1296, 1394, 1185, 519, 4686, 1434, 19539, 547, 2097, 2066, 513, 2013, 538, 519, 26819, 532, 268, 3336, 606, 2272, 540, 799, 646, 5795, 538, 513, 1957, 1224, 1354, 519, 0, 1432, 3657, 4165, 9171, 1218, 543, 1215, 1684, 1358, 6435, 454, 1432, 3657, 4165, 9171, 1218, 543, 1215, 1684, 1358, 6435, 454, 1432, 616, 14434, 543, 875, 789, 666, 948, 1118, 596, 267, 519, 19002, 267, 6793, 543, 8902, 563, 312, 320, 917, 875, 13212, 267, 533, 8986, 267, 543, 20397, 2490, 6960, 1310, 596, 20105, 1412, 655, 286, 901, 568, 1317, 540, 513, 1184, 1572, 16617, 269, 634, 1587, 540, 16617, 568, 1863, 18119, 563, 2252, 596, 2811, 513, 2257, 562, 518, 323, 267, 1934, 781, 875, 16617, 1568, 281, 5135, 568, 8311, 1242, 676, 519, 2281, 593, 519, 4829, 781, 2627, 630, 2135, 9179, 1040, 5131, 18119, 616, 4646, 734, 891, 616, 8444, 609, 10002, 8529, 9211, 269, 11109, 606, 10002, 8529, 6475, 2306, 873, 2731, 18633, 267, 865, 789, 4323, 4478, 7123, 6675, 543, 21102, 9211, 269, 901, 4384, 919, 513, 2531, 3626, 1184, 540, 6475, 27560, 543, 5555, 3123, 1591, 3441, 563, 4517, 538, 3020, 834, 338, 877, 1606, 877, 1532, 583, 1673, 27075, 257, 6752, 267, 950, 938, 4703, 616, 6534, 547, 16617, 267, 1863, 18119, 1106, 268, 855, 3079, 540, 7432, 6960, 630, 24392, 713, 568, 9247, 1018, 4523, 1070, 938, 4703, 2085, 543, 7985, 689, 5312, 2068, 563, 23682, 9179, 4386, 689, 3388, 734, 621, 4523, 538, 938, 3339, 10894, 3157, 899, 7244, 267, 4189, 267, 1373, 538, 519, 3141, 267, 543, 609, 3339, 4598, 547, 13189, 267, 5533, 267, 4568, 267, 3092, 269, 1924, 519, 811, 596, 4497, 538, 14432, 5615, 899, 7296, 267, 512, 8911, 267, 6704, 267, 610, 1175, 2489, 17173, 2713, 267, 519, 811, 1863, 18119, 269, 1452, 29186, 619, 616, 2219, 547, 2628, 513, 1909, 538, 10172, 267, 2860, 267, 2295, 2068, 543, 824, 14715, 3676, 563, 10932, 2094, 519, 2048, 3199, 779, 814, 1336, 602, 3635, 543, 588, 1066, 6681, 2168, 2534, 7472, 1863, 18119, 538, 938, 4703, 269, 901, 4667, 2731, 4831, 842, 30698, 267, 1318, 286, 27355, 1406, 3635, 9277, 547, 6175, 707, 1981, 782, 540, 1346, 3676, 5018, 1657, 286, 8786, 267, 3635, 4679, 5250, 540, 1863, 18119, 269, 3143, 267, 713, 1281, 711, 1611, 707, 4172, 577, 15837, 4567, 568, 2300, 20608, 269, 19415, 909, 267, 2014, 713, 568, 1175, 811, 6169, 540, 875, 1954, 1136, 5100, 938, 4703, 270, 534, 10532, 616, 2483, 2252, 596, 1174, 513, 8766, 2179, 540, 14169, 267, 1224, 519, 1739, 268, 543, 952, 711, 267, 18178, 1524, 547, 519, 1985, 5037, 585, 513, 2370, 21658, 630, 933, 666, 1406, 782, 581, 2257, 562, 518, 1091, 1040, 11644, 4679, 519, 21085, 4783, 20872, 519, 5250, 540, 1863, 18119, 630, 604, 596, 2461, 883, 519, 4890, 1979, 32554, 540, 621, 267, 22545, 3054, 856, 1934, 2507, 1040, 1809, 267, 952, 596, 960, 856, 9846, 267, 519, 5250, 540, 1863, 18119, 2965, 14884, 707, 2281, 547, 2333, 3210, 2557, 543, 11476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6074, 4760, 729, 4132, 4886, 563, 2662, 12241, 1034, 16241, 10752, 723, 606, 7915, 3661, 538, 519, 1310, 5158, 972, 616, 1906, 10752, 799, 3382, 1022, 4555, 3823, 519, 6891, 2348, 1044, 1934, 1354, 865, 952, 3173, 4280, 1453, 2055, 3823, 1272, 1354, 4332, 621, 1131, 1291, 547, 4143, 267, 2150, 20557, 5784, 593, 519, 1310, 5158, 563, 763, 1353, 729, 5645, 856, 1210, 519, 1482, 5961, 540, 513, 1762, 2021, 267, 513, 4605, 540, 713, 1762, 4807, 1282, 6379, 543, 519, 1762, 2021, 779, 4816, 563, 763, 1453, 941, 1287, 7688, 7458, 3823, 741, 4606, 543, 7422, 540, 519, 1533, 540, 519, 1126, 1282, 6379, 543, 4332, 543, 1287, 2055, 941, 6659, 3823, 1022, 4555, 789, 949, 723, 3823, 519, 9087, 28127, 1282, 6379, 543, 952, 789, 1185, 1022, 3403, 3823, 519, 796, 9799, 1126, 1354, 17748, 563, 763, 1453, 779, 4267, 941, 9670, 538, 602, 789, 1312, 941, 17386, 538, 519, 1249, 602, 789, 5156, 972, 729, 1100, 15629, 6228, 1354, 4332, 267, 789, 1185, 1100, 3965, 610, 519, 1379, 547, 4163, 856, 3339, 2634, 3252, 1282, 6379, 543, 741, 942, 538, 519, 27042, 855, 519, 5354, 540, 1312, 2516, 1185, 519, 3661, 602, 789, 1185, 4606, 543, 6499, 1991, 547, 519, 4890, 942, 540, 4332, 563, 763, 2949, 5114, 540, 519, 1453, 602, 741, 15629, 1646, 729, 711, 4359, 2614, 547, 723, 12823, 971, 607, 8289, 543, 6217, 2324, 855, 1034, 6829, 513, 7287, 547, 2743, 741, 3993, 543, 602, 789, 4810, 513, 4743, 540, 10072, 689, 519, 1964, 540, 741, 1920, 1770, 563, 763, 1249, 602, 891, 1453, 941, 32232, 538, 513, 30137, 6073, 607, 741, 1702, 540, 519, 10285, 4783, 729, 971, 602, 789, 941, 3222, 540, 519, 5013, 602, 1272, 862, 10642, 693, 4332, 543, 972, 729, 1100, 3105, 6228, 789, 16119, 5156, 602, 1991, 547, 4332, 789, 4810, 2067, 1480, 6547, 540, 4606, 543, 519, 2702, 547, 1616, 1945, 602, 789, 941, 1152, 3222, 540, 1310, 519, 1184, 540, 4332, 563, 763, 1453, 941, 711, 3222, 602, 519, 1360, 2093, 789, 941, 8380, 4464, 941, 30137, 547, 519, 10752, 543, 4978, 602, 789, 1185, 1044, 4547, 909, 609, 28000, 540, 741, 11207, 1114, 2168, 6753, 543, 2081, 540, 1272, 563, 13126, 281, 2657, 1299, 20154, 640, 454, 4131, 779, 1265, 4267, 547, 1034, 1402, 2055, 827, 2228, 3075, 32697, 269, 4653, 267, 1357, 568, 519, 796, 574, 2889, 15344, 1505, 547, 4444, 930, 11955, 585, 1585, 14233, 269, 6145, 1082, 824, 11955, 267, 22870, 27558, 568, 2356, 5728, 2687, 540, 621, 779, 1292, 3693, 269, 5620, 513, 2243, 827, 22870, 27558, 543, 968, 1017, 529, 2593, 2108, 286, 27819, 1169, 812, 6487, 827, 968, 10674, 2517, 333, 9679, 1721, 2593, 270, 1017, 529, 16519, 1606, 1446, 11258, 2108, 269, 25198, 267, 899, 968, 1017, 529, 585, 9042, 2108, 267, 3277, 547, 1585, 2010, 540, 1072, 2042, 269, 8899, 7287, 3884, 1406, 519, 1482, 607, 791, 582, 1890, 267, 855, 513, 2603, 540, 2147, 2798, 602, 588, 604, 548, 606, 552, 14431, 666, 849, 14927, 523, 707, 6999, 269, 5457, 602, 707, 10629, 814, 11311, 22870, 27558, 610, 1022, 824, 3053, 3512, 1317, 3318, 814, 24565, 602, 519, 3870, 547, 596, 568, 3152, 982, 519, 1981, 540, 24379, 2427, 2360, 269, 8074, 267, 952, 596, 723, 811, 2055, 827, 22870, 27558, 2307, 707, 2295, 1465, 1416, 25367, 269, 0, 288, 2686, 1062, 568, 606, 968, 19989, 1062, 540, 4644, 1107, 4978, 267, 32537, 267, 6209, 3615, 1107, 538, 2474, 540, 799, 1272, 568, 20218, 543, 21286, 2623, 11461, 892, 29688, 901, 568, 513, 7406, 540, 2247, 602, 11887, 519, 1259, 835, 10703, 1161, 519, 1158, 269, 769, 824, 1913, 267, 2528, 568, 912, 1700, 513, 1062, 540, 3981, 1431, 7282, 1480, 7919, 267, 2486, 267, 610, 519, 1158, 3248, 1700, 4371, 547, 581, 3020, 676, 2818, 540, 513, 1895, 610, 2486, 3248, 1700, 10299, 689, 835, 5108, 547, 519, 1985, 3248, 1700, 676, 1797, 540, 1514, 3157, 20922, 676, 971, 2474, 607, 2048, 25531, 685, 543, 2048, 16780, 738, 4851, 685, 1547, 12533, 763, 2495, 602, 2686, 4978, 723, 585, 606, 1367, 5673, 593, 519, 5626, 1377, 693, 799, 621, 568, 15849, 23624, 912, 1700, 6071, 29872, 766, 630, 296, 4862, 827, 621, 994, 1700, 1620, 519, 2495, 630, 10177, 6463, 543, 1107, 610, 4207, 994, 1700, 18468, 621, 568, 3020, 630, 296, 3494, 994, 1700, 1969, 532, 8335, 1317, 594, 2048, 852, 685, 3494, 630, 331, 1516, 9935, 994, 1700, 814, 2178, 28146, 3601, 630, 296, 6557, 7923, 547, 621, 264, 1107, 594, 1745, 1434, 950, 1547, 1547, 4586, 17780, 593, 713, 4214, 540, 2528, 267, 649, 666, 1174, 602, 29708, 4655, 12851, 547, 519, 7293, 2783, 540, 2413, 7239, 269, 11814, 633, 31223, 616, 11179, 1373, 2699, 18249, 676, 519, 19908, 540, 2686, 267, 1514, 543, 2797, 3604, 269, 769, 938, 7239, 267, 17685, 8590, 5188, 267, 1620, 543, 9316, 568, 811, 2556, 982, 2479, 563, 7437, 17685, 8590, 5188, 267, 1620, 543, 9316, 1004, 689, 1114, 2686, 10080, 543, 1949, 540, 4978, 2170, 267, 5968, 267, 21907, 543, 10802, 1142, 824, 269, 769, 713, 1184, 267, 2043, 5385, 2035, 543, 11994, 543, 1628, 513, 3838, 5075, 540, 2486, 543, 519, 1158, 269, 15332, 1175, 12560, 30398, 267, 17685, 8590, 640, 568, 513, 6422, 1184, 602, 2337, 2043, 543, 2950, 547, 1451, 827, 543, 1174, 824, 4529, 269, 5015, 267, 621, 6087, 2043, 547, 1847, 2476, 689, 10072, 626, 543, 5134, 6412, 995, 8456, 543, 621, 7512, 873, 547, 9784, 4763, 607, 513, 4295, 1871, 540, 12560, 543, 4264, 7239, 563, 265, 2983, 1068, 345, 267, 1849, 858, 867, 630, 3192, 272, 1040, 5771, 9866, 5703, 269, 16241, 4886, 538, 25448, 543, 12868, 269, 9628, 1299, 5507, 281, 634, 2160, 540, 9628, 4964, 563, 1262, 631, 1409, 867, 9501, 296, 4629, 267, 968, 8624, 29193, 11724, 725, 543, 10076, 11724, 725, 538, 16241, 13507, 7010, 5608, 3184, 476, 278, 267, 6032, 269, 476, 14341, 268, 14321, 267, 538, 9177, 543, 5274, 7186, 269, 11933, 3749, 14430, 540, 631, 1409, 867, 661, 269, 1975, 10098, 267, 645, 269, 18741, 13871, 543, 700, 11482, 269, 18999, 1145, 267, 32308, 269, 9628, 281, 634, 2160, 540, 9628, 4964, 269, 476, 2735, 278, 454, 1103, 2250, 5756, 267, 3875, 3785, 543, 3292, 1472, 519, 1158, 723, 9619, 2152, 1644, 547, 4529, 538, 3346, 609, 1142, 824, 269, 1717, 267, 538, 713, 3728, 4657, 1158, 267, 1141, 1514, 2923, 543, 519, 5769, 616, 11179, 18534, 12686, 938, 11994, 543, 3621, 7835, 616, 3850, 5488, 2951, 543, 2792, 267, 5647, 538, 519, 2361, 540, 17685, 8590, 15377, 5526, 547, 581, 1898, 563, 11328, 322, 8590, 5647, 4016, 547, 1007, 2994, 267, 4485, 267, 2035, 267, 2093, 543, 3906, 602, 2743, 2115, 540, 3728, 4657, 3309, 7239, 269, 16743, 666, 1491, 1082, 5546, 267, 971, 607, 519, 1007, 6165, 540, 1514, 2923, 282, 519, 5137, 540, 11121, 4773, 540, 6575, 282, 519, 1646, 540, 513, 562, 537, 767, 548, 24099, 1935, 282, 10647, 5499, 5721, 902, 267, 3092, 563, 13828, 519, 772, 2793, 8016, 543, 519, 22720, 310, 6828, 616, 9244, 8149, 547, 5876, 543, 5647, 269, 11569, 267, 519, 15511, 595, 2378, 2946, 11036, 610, 519, 21826, 15863, 9012, 11115, 1143, 616, 1152, 1079, 1806, 540, 519, 772, 2793, 8016, 779, 7029, 538, 2810, 17685, 8590, 1620, 998, 3209, 2409, 269, 4856, 22046, 5944, 267, 519, 22720, 310, 6828, 568, 513, 3056, 5499, 2754, 538, 519, 946, 540, 1007, 4485, 547, 9746, 5539, 563, 2690, 602, 2601, 267, 519, 13815, 26342, 12703, 7341, 602, 546, 732, 547, 1589, 3544, 519, 4216, 267, 556, 628, 9722, 17685, 8590, 960, 543, 1818, 606, 1271, 946, 540, 1007, 2409, 547, 3895, 17685, 8590, 1620, 543, 9316, 269, 634, 13815, 4564, 513, 2189, 3760, 585, 3540, 2486, 3906, 8149, 547, 519, 13319, 540, 2686, 4763, 543, 1620, 269, 0, 763, 15878, 685, 534, 1443, 2478, 721, 547, 1685, 2892, 520, 267, 519, 1990, 752, 520, 540, 938, 4703, 267, 609, 25932, 11419, 6888, 267, 25894, 543, 8856, 267, 1247, 649, 616, 25009, 547, 2709, 1990, 752, 520, 689, 602, 799, 2696, 814, 1649, 5271, 565, 1836, 1655, 15735, 593, 721, 538, 1931, 547, 3035, 1514, 4708, 543, 1025, 1170, 269, 1677, 6108, 1018, 2696, 814, 2016, 721, 267, 607, 26017, 676, 13924, 267, 13054, 513, 2407, 10343, 540, 519, 2802, 545, 540, 2696, 269, 1473, 889, 19935, 267, 2696, 786, 22302, 1346, 945, 723, 4628, 17947, 13924, 267, 543, 6038, 786, 8007, 873, 9935, 563, 313, 752, 520, 568, 835, 540, 519, 2947, 22225, 2390, 799, 5771, 568, 3710, 269, 9453, 519, 4527, 540, 891, 22225, 267, 621, 568, 7543, 547, 1256, 4766, 5771, 269, 634, 32201, 11619, 10152, 267, 607, 1936, 730, 267, 1185, 24193, 1010, 4971, 619, 547, 10131, 4108, 11044, 538, 11182, 1141, 519, 1520, 7315, 630, 1492, 1289, 585, 11755, 264, 568, 4862, 267, 513, 2259, 30260, 741, 3909, 4567, 607, 21071, 269, 634, 7766, 3609, 540, 519, 1101, 1608, 13023, 26512, 25234, 337, 267, 538, 2921, 7916, 1996, 945, 1197, 17792, 1990, 752, 520, 267, 7488, 540, 741, 22347, 1170, 4369, 540, 824, 22225, 899, 2892, 520, 543, 4718, 332, 630, 325, 8463, 1070, 568, 7357, 538, 6677, 867, 766, 609, 519, 6891, 540, 5771, 543, 2417, 11363, 519, 11999, 9588, 543, 2956, 540, 1990, 752, 520, 563, 1103, 519, 15878, 685, 534, 267, 1990, 752, 520, 568, 538, 947, 14688, 5018, 7258, 609, 2892, 520, 267, 607, 606, 8763, 4704, 547, 519, 14393, 31397, 5289, 10841, 3290, 6913, 676, 30768, 998, 11755, 267, 799, 568, 2417, 6192, 609, 513, 14952, 748, 26460, 602, 20950, 8521, 689, 620, 916, 15130, 269, 769, 713, 1259, 267, 1570, 568, 11292, 552, 1181, 640, 538, 513, 1158, 540, 9019, 267, 606, 2460, 12006, 538, 519, 15878, 685, 534, 912, 15307, 28344, 2892, 520, 543, 2628, 1990, 752, 520, 269, 21894, 1434, 596, 6494, 25656, 585, 707, 2383, 596, 786, 1265, 621, 609, 2696, 269, 630, 289, 26698, 4673, 476, 273, 281, 8099, 994, 306, 550, 24642, 267, 744, 1067, 10787, 4157, 269, 968, 2419, 10846, 538, 5771, 892, 570, 7676, 571, 7734, 4964, 269, 5130, 476, 1220, 278, 563, 268, 5412, 476, 1556, 267, 476, 1001, 274, 454, 268, 476, 271, 19410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 10235, 344, 5981, 5674, 5271, 747, 28331, 569, 6265, 630, 305, 11701, 281, 29112, 21268, 15671, 3264, 392, 479, 13953, 2843, 494, 6459, 3264, 7549, 4736, 3264, 392, 479, 3264, 8563, 4138, 10948, 2843, 356, 3522, 10528, 6459, 9924, 392, 479, 15671, 4138, 4709, 282, 4989, 476, 276, 267, 476, 5908, 280, 267, 28234, 29118, 1700, 19751, 476, 279, 267, 476, 3707, 273, 267, 8734, 657, 756, 597, 12921, 264, 729, 513, 6739, 543, 8168, 21997, 267, 22301, 267, 543, 7344, 11653, 269, 1261, 568, 1634, 585, 6310, 12596, 971, 607, 28331, 569, 6265, 781, 3830, 543, 585, 513, 19858, 6219, 538, 14421, 1108, 1572, 28331, 569, 6265, 3154, 267, 3957, 1310, 1864, 269, 1261, 21783, 538, 476, 6245, 271, 689, 18293, 2160, 267, 543, 2663, 2968, 513, 7548, 269, 1261, 6026, 7344, 4702, 693, 18293, 14451, 6468, 781, 20043, 538, 476, 5002, 272, 267, 543, 540, 4294, 6128, 693, 18293, 3427, 540, 5303, 267, 476, 5002, 274, 269, 15182, 573, 594, 269, 20767, 990, 729, 835, 540, 1010, 1053, 563, 2419, 777, 569, 6265, 781, 6436, 941, 7494, 6273, 676, 715, 269, 14717, 269, 11809, 4157, 990, 20391, 267, 945, 8547, 519, 6239, 4659, 540, 17224, 19392, 269, 3571, 2038, 1382, 15538, 540, 3289, 4435, 2559, 923, 269, 3571, 834, 8624, 21124, 3718, 257, 538, 2185, 12531, 941, 3370, 538, 476, 3707, 279, 563, 295, 517, 2293, 543, 17758, 454, 268, 15552, 540, 31012, 23267, 630, 272, 5988, 476, 3707, 272, 994, 268, 5565, 2107, 10249, 540, 22255, 514, 630, 272, 5988, 476, 3707, 272, 543, 476, 2420, 5412, 476, 4350, 274, 994, 268, 11352, 540, 519, 4414, 14465, 1676, 540, 23267, 267, 7466, 630, 1015, 5147, 476, 4572, 278, 543, 7790, 994, 268, 11809, 4157, 990, 12921, 4512, 15356, 630, 4572, 276, 994, 268, 744, 262, 3519, 24335, 267, 3627, 808, 5919, 21662, 517, 267, 31611, 674, 1421, 834, 306, 10235, 344, 28331, 569, 6265, 2580, 5839, 307, 12460, 3778, 540, 9119, 21287, 267, 2160, 540, 853, 12448, 338, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 285, 563, 268, 5395, 613, 344, 28331, 569, 6265, 693, 519, 9119, 2637, 7002, 9609, 5741, 454, 347, 1607, 2376, 827, 513, 6739, 21997, 568, 513, 20839, 269, 1411, 666, 948, 5606, 690, 531, 12519, 676, 9750, 621, 269, 347, 0, 288, 2048, 18721, 540, 2470, 685, 568, 513, 2489, 4341, 602, 568, 4362, 998, 2601, 269, 901, 1876, 7028, 519, 3409, 585, 1480, 1582, 25535, 3569, 543, 18149, 985, 9552, 540, 8103, 269, 898, 1281, 711, 991, 547, 581, 2854, 1524, 1317, 621, 568, 2067, 543, 1500, 1634, 547, 782, 676, 2790, 12200, 267, 2601, 610, 6138, 269, 769, 2274, 12858, 11936, 267, 20122, 15816, 6799, 267, 1018, 646, 14659, 267, 616, 519, 1614, 1034, 1271, 4031, 540, 2470, 269, 1261, 12034, 873, 607, 1271, 1317, 646, 11099, 602, 267, 891, 4031, 786, 1711, 513, 1533, 540, 4708, 267, 538, 513, 1533, 1141, 3425, 616, 7683, 693, 2112, 1996, 1142, 824, 563, 763, 2924, 24705, 1042, 593, 519, 2043, 676, 519, 16672, 4927, 581, 1641, 547, 519, 4170, 540, 13919, 267, 1857, 1931, 543, 2489, 10304, 538, 513, 11180, 2486, 269, 634, 2924, 18931, 538, 519, 17083, 267, 616, 538, 531, 1329, 762, 267, 8471, 267, 967, 643, 14548, 267, 954, 17466, 543, 954, 5829, 269, 17629, 16672, 540, 5274, 7126, 267, 476, 3707, 279, 814, 1044, 513, 2707, 585, 519, 1585, 2010, 540, 2962, 3144, 676, 519, 2136, 8315, 269, 634, 14074, 723, 6273, 513, 1297, 540, 3486, 14908, 267, 3084, 1526, 4801, 267, 6469, 9086, 543, 3664, 540, 454, 19602, 267, 519, 1101, 2947, 2798, 4125, 14355, 779, 7840, 585, 4914, 3609, 602, 1131, 3895, 4708, 281, 29611, 540, 5728, 9388, 267, 5191, 540, 519, 15798, 267, 8851, 540, 2804, 7496, 267, 771, 1301, 3512, 540, 782, 6082, 267, 543, 16369, 540, 7810, 6811, 269, 634, 2185, 18818, 1448, 9619, 519, 991, 585, 513, 13477, 540, 8315, 267, 513, 29505, 3919, 602, 1131, 3895, 968, 335, 11823, 7115, 543, 16857, 8699, 1848, 769, 1840, 547, 713, 267, 646, 14751, 539, 602, 646, 1185, 1100, 7287, 547, 1517, 8077, 5125, 607, 1279, 607, 621, 729, 8348, 547, 28111, 609, 824, 6082, 547, 27481, 5126, 267, 4031, 267, 543, 4023, 4308, 902, 269, 15788, 267, 14355, 5156, 602, 713, 1544, 1131, 6038, 2057, 519, 3123, 540, 2112, 563, 13295, 267, 519, 632, 2632, 1670, 5133, 568, 8185, 8547, 593, 519, 1523, 540, 13919, 543, 1480, 15683, 269, 1955, 28609, 23006, 729, 513, 2178, 1139, 7163, 540, 713, 2070, 269, 9747, 267, 519, 632, 2632, 1670, 5133, 568, 849, 1634, 607, 519, 23006, 1014, 5133, 269, 634, 2136, 8315, 13482, 1996, 32202, 675, 543, 4033, 14265, 601, 267, 769, 16058, 610, 26440, 15665, 9615, 610, 15722, 7321, 607, 1134, 607, 634, 25611, 13482, 267, 476, 3707, 280, 779, 1796, 1996, 25711, 616, 1806, 540, 10073, 540, 519, 23006, 1014, 3741, 1996, 25711, 563, 5278, 540, 891, 2924, 1331, 281, 519, 1318, 547, 1863, 4633, 267, 519, 1318, 547, 2611, 14980, 950, 1373, 20402, 676, 8128, 267, 519, 1318, 547, 7834, 267, 519, 1318, 547, 4023, 4693, 267, 519, 1318, 547, 581, 1863, 689, 7938, 1551, 5896, 19707, 267, 3092, 269, 476, 272, 6406, 7126, 616, 2924, 602, 519, 2229, 18715, 3160, 2126, 896, 519, 11156, 269, 476, 274, 1358, 2149, 721, 689, 1373, 5806, 3990, 1996, 1317, 540, 938, 5198, 267, 3023, 267, 3092, 269, 1358, 4019, 538, 782, 3344, 540, 2834, 1272, 689, 3843, 454, 2026, 1480, 7919, 267, 649, 616, 782, 4535, 609, 606, 1303, 1856, 618, 540, 5191, 540, 4633, 610, 28395, 3585, 1634, 607, 5191, 540, 4082, 607, 621, 568, 513, 2596, 1480, 1318, 269, 898, 568, 7150, 538, 519, 8549, 9139, 543, 621, 568, 1271, 585, 721, 1480, 7919, 547, 2149, 938, 2924, 547, 5191, 540, 4633, 543, 4082, 607, 621, 568, 519, 22449, 585, 513, 11180, 2486, 269, 11109, 519, 1318, 547, 2769, 13951, 11884, 1510, 1022, 9993, 568, 606, 1898, 851, 540, 1018, 621, 1797, 547, 581, 513, 1863, 1480, 1373, 269, 9137, 476, 1015, 538, 519, 8549, 9139, 2829, 602, 282, 630, 320, 264, 1169, 12504, 814, 519, 1318, 547, 5191, 540, 4633, 543, 4082, 282, 630, 321, 264, 782, 4961, 723, 519, 1318, 547, 27043, 4708, 2406, 543, 1510, 7916, 282, 630, 322, 264, 782, 4961, 723, 519, 1318, 547, 1106, 12205, 563, 5194, 1383, 568, 634, 17813, 9534, 630, 8649, 10180, 264, 2920, 476, 1220, 271, 799, 14014, 7292, 7862, 543, 5849, 602, 1100, 1268, 568, 5806, 3990, 1996, 593, 519, 12406, 540, 741, 5198, 269, 898, 6663, 547, 3895, 1434, 1894, 1063, 1004, 540, 1114, 6803, 10080, 269, 589, 3803, 1383, 568, 634, 5274, 7126, 2920, 476, 1960, 279, 602, 6227, 782, 1480, 2924, 543, 5849, 602, 782, 2043, 723, 2924, 593, 741, 2427, 543, 666, 1491, 3656, 2962, 1996, 1022, 1268, 610, 13539, 602, 771, 637, 11072, 741, 1480, 2924, 269, 1452, 1614, 1383, 782, 948, 547, 2149, 2043, 689, 7130, 543, 9356, 519, 2856, 602, 3025, 267, 7488, 540, 1367, 3604, 1058, 581, 5701, 1312, 9425, 543, 8449, 563, 14549, 2924, 616, 519, 2596, 3486, 2924, 543, 22624, 7152, 538, 519, 17629, 16672, 540, 5274, 7126, 269, 1358, 616, 1767, 547, 3715, 513, 968, 21720, 3044, 540, 9740, 585, 782, 9082, 543, 782, 6082, 892, 24080, 267, 2495, 789, 616, 3160, 543, 538, 531, 1329, 762, 630, 7419, 4937, 13909, 267, 476, 3707, 279, 1040, 634, 5137, 540, 519, 3864, 13482, 540, 5274, 7126, 17956, 602, 891, 2924, 1131, 581, 4767, 267, 15217, 630, 4488, 16281, 267, 476, 4198, 271, 1040, 5274, 7126, 616, 11008, 2213, 883, 1614, 2010, 282, 18104, 2924, 1107, 971, 607, 519, 1318, 547, 4027, 689, 25711, 267, 17290, 2924, 1107, 799, 949, 581, 3908, 896, 8763, 543, 13113, 6381, 971, 607, 519, 1318, 547, 15698, 267, 543, 19120, 1881, 2924, 1107, 799, 896, 3908, 6381, 621, 568, 2009, 547, 15936, 609, 585, 1383, 5191, 540, 4082, 630, 14737, 3588, 540, 10456, 267, 476, 1220, 277, 1040, 1306, 595, 2313, 2006, 630, 1001, 273, 264, 2829, 267, 891, 2924, 2149, 519, 1367, 689, 519, 1958, 549, 16670, 610, 519, 7050, 7060, 540, 519, 1533, 282, 7175, 873, 547, 1569, 519, 16324, 2200, 2877, 563, 1892, 6406, 15698, 616, 12504, 779, 5191, 547, 3635, 22232, 2924, 971, 607, 5191, 540, 4633, 1510, 2229, 13779, 269, 3040, 769, 772, 2529, 269, 713, 1318, 616, 16798, 676, 519, 4031, 540, 519, 2197, 4122, 1634, 607, 519, 9291, 540, 7126, 269, 3040, 1280, 3236, 519, 2229, 538, 772, 2529, 3112, 15936, 538, 606, 2043, 5191, 540, 10847, 610, 5191, 540, 4633, 269, 3040, 6406, 23118, 616, 12082, 538, 519, 645, 1571, 540, 7126, 799, 7182, 519, 1379, 540, 519, 2229, 269, 3040, 6406, 15698, 616, 3964, 585, 519, 1434, 540, 519, 2146, 563, 17220, 1480, 2924, 1876, 630, 295, 12435, 264, 568, 10858, 1282, 2053, 540, 4708, 282, 543, 4139, 19493, 1876, 630, 296, 30045, 264, 568, 10858, 1282, 942, 540, 11439, 4655, 267, 2112, 267, 543, 13567, 269, 1452, 1079, 4031, 616, 8547, 547, 2347, 1142, 824, 543, 1312, 616, 851, 540, 3486, 1876, 799, 17767, 1894, 1063, 2829, 269, 4139, 1480, 2924, 1876, 543, 3486, 19493, 1876, 616, 10858, 538, 519, 20431, 1221, 24752, 24540, 267, 855, 5840, 568, 3843, 547, 859, 1228, 922, 5539, 538, 519, 3498, 540, 873, 543, 29875, 873, 269, 4139, 1480, 2924, 1876, 6663, 547, 2149, 519, 4909, 2924, 540, 2043, 543, 2516, 689, 19374, 269, 898, 5673, 593, 519, 17629, 16672, 540, 5274, 7126, 538, 3707, 279, 267, 849, 972, 454, 763, 476, 1691, 628, 14821, 540, 519, 772, 2529, 269, 9139, 14014, 1022, 1268, 1369, 741, 16278, 540, 741, 1813, 1184, 543, 3160, 4027, 269, 634, 26321, 10466, 1849, 1021, 896, 519, 476, 1691, 628, 14821, 3340, 519, 2829, 547, 4019, 741, 4031, 8449, 547, 1022, 1268, 1369, 741, 16278, 269, 634, 3160, 4027, 16083, 6663, 547, 1683, 3160, 3498, 540, 519, 1876, 269, 898, 568, 849, 2629, 547, 519, 4027, 540, 3540, 2924, 269, 1703, 1058, 581, 1100, 7130, 538, 922, 3498, 563, 2026, 729, 5892, 7150, 267, 519, 9050, 18818, 14821, 2337, 2149, 1367, 4961, 269, 634, 993, 663, 618, 5693, 14509, 968, 1862, 24335, 20912, 547, 1022, 1268, 1369, 922, 16278, 519, 3160, 4027, 540, 519, 4031, 6100, 901, 1797, 1169, 2063, 12504, 267, 1100, 2339, 945, 789, 616, 610, 1141, 789, 2097, 689, 267, 11392, 3160, 4027, 896, 519, 1876, 269, 2290, 1383, 540, 713, 568, 519, 2013, 540, 631, 1952, 642, 269, 11882, 267, 799, 729, 936, 519, 19549, 14821, 267, 513, 6390, 269, 796, 32016, 3406, 543, 23069, 563, 13563, 543, 23885, 5784, 616, 3592, 519, 1482, 607, 17127, 779, 269, 589, 1175, 2229, 1590, 8449, 2149, 519, 21376, 6703, 540, 3959, 26556, 269, 23885, 779, 968, 9617, 892, 1876, 8449, 14014, 21376, 31399, 625, 269, 17127, 543, 23885, 8815, 602, 4031, 1058, 2149, 519, 15698, 540, 782, 543, 3025, 19262, 547, 723, 741, 23118, 6870, 269, 15213, 543, 5126, 1797, 602, 16764, 1058, 581, 1863, 538, 519, 5198, 540, 1272, 563, 3080, 11180, 4183, 1131, 581, 10572, 543, 5274, 7126, 267, 799, 15942, 1318, 2059, 609, 5191, 540, 4984, 269, 968, 14549, 2924, 616, 2924, 602, 782, 1004, 723, 3274, 676, 1373, 1480, 1848, 769, 519, 968, 27746, 1633, 779, 2920, 540, 24729, 3130, 538, 476, 13932, 280, 2223, 24451, 602, 1004, 723, 519, 1318, 547, 5191, 540, 4984, 267, 607, 1279, 607, 789, 941, 711, 19849, 21724, 676, 621, 543, 15197, 519, 4984, 540, 824, 1004, 269, 634, 968, 27746, 1633, 779, 2920, 540, 24729, 3130, 892, 849, 7150, 602, 1346, 771, 9113, 1051, 532, 824, 10764, 610, 19849, 21724, 540, 454, 763, 1114, 13338, 4441, 723, 1044, 2919, 676, 634, 772, 2529, 269, 10966, 7040, 547, 2708, 519, 14496, 540, 2242, 1759, 593, 9603, 6713, 1299, 26321, 10466, 269, 634, 9603, 6713, 2882, 519, 2924, 540, 968, 5158, 267, 15698, 543, 3959, 5608, 621, 568, 827, 1142, 12504, 269, 1717, 267, 519, 26321, 10466, 1849, 1021, 2882, 7863, 513, 1808, 1895, 689, 7130, 269, 1403, 519, 1966, 568, 827, 519, 27284, 7126, 540, 1004, 267, 634, 853, 2774, 2480, 337, 583, 4176, 267, 519, 3044, 568, 1031, 547, 9260, 519, 2229, 1412, 338, 1719, 1996, 513, 13338, 1318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14260, 1759, 855, 616, 849, 556, 2987, 2617, 730, 7064, 547, 4359, 12985, 1949, 269, 1280, 1383, 267, 18849, 14259, 6137, 2553, 267, 1141, 513, 10991, 1239, 1305, 568, 2813, 547, 12337, 519, 9058, 14778, 649, 723, 4767, 267, 616, 13868, 16198, 547, 2757, 3339, 610, 14778, 269, 1548, 12882, 952, 1022, 12882, 3604, 616, 972, 1063, 4359, 11050, 1382, 2409, 543, 12985, 1382, 2409, 286, 5015, 267, 930, 2409, 6700, 723, 1044, 14916, 1031, 2907, 1354, 1022, 4359, 12985, 1102, 2858, 23461, 267, 2523, 538, 519, 1858, 540, 3060, 2079, 269, 0, 17806, 783, 17716, 1063, 519, 19248, 262, 5674, 320, 540, 1325, 6953, 541, 12036, 1325, 6874, 520, 342, 1415, 543, 519, 4279, 652, 19248, 262, 5674, 320, 540, 594, 16818, 1325, 6363, 1563, 327, 454, 31955, 2986, 9978, 4065, 3194, 4750, 2676, 1001, 274, 267, 11730, 476, 1321, 267, 17136, 476, 275, 267, 9664, 476, 27038, 268, 28510, 454, 20082, 763, 257, 6574, 19248, 262, 5674, 320, 834, 540, 594, 16818, 1325, 6363, 1563, 327, 630, 589, 13034, 264, 568, 2808, 835, 540, 519, 1034, 4583, 31888, 538, 12428, 1893, 269, 634, 15754, 676, 713, 2672, 25206, 1257, 9775, 883, 1082, 3029, 11783, 2290, 540, 1346, 945, 729, 6766, 676, 519, 834, 6574, 19248, 262, 5674, 320, 834, 729, 513, 647, 25206, 21185, 4754, 7313, 564, 3957, 1325, 6953, 541, 12036, 1325, 6874, 520, 11445, 262, 5674, 630, 323, 1221, 538, 589, 13034, 4700, 945, 10353, 594, 16818, 1325, 6363, 1563, 327, 781, 6648, 609, 19248, 262, 5674, 320, 267, 538, 799, 1568, 593, 519, 7499, 543, 20748, 1935, 269, 4475, 267, 519, 21849, 3347, 9775, 1063, 519, 1079, 9954, 267, 538, 799, 519, 1034, 1271, 568, 519, 25664, 566, 1377, 1063, 519, 1079, 5931, 267, 538, 519, 1259, 621, 9305, 519, 22566, 609, 519, 3364, 610, 835, 1373, 8612, 1063, 519, 12332, 543, 2495, 267, 865, 649, 666, 2161, 602, 519, 1034, 1713, 3364, 602, 7249, 26021, 1063, 594, 16818, 1325, 6363, 1563, 327, 543, 1325, 6874, 520, 342, 1415, 267, 568, 602, 1312, 540, 873, 862, 9760, 689, 519, 6654, 5168, 540, 2672, 25206, 14486, 563, 268, 9137, 7348, 281, 476, 9610, 454, 268, 7300, 8281, 281, 476, 6858, 0, 763, 2856, 540, 15093, 568, 2322, 547, 1082, 3096, 2221, 269, 898, 568, 1031, 547, 8956, 24123, 7980, 267, 547, 18663, 9845, 267, 543, 547, 934, 2224, 1346, 945, 723, 10413, 721, 610, 1810, 1406, 5660, 721, 269, 898, 568, 513, 1797, 585, 1028, 340, 1645, 938, 16236, 267, 1818, 2631, 540, 13249, 543, 6845, 1088, 612, 9271, 269, 1306, 649, 786, 1294, 538, 713, 2022, 267, 621, 568, 849, 513, 1259, 540, 931, 565, 532, 938, 931, 31190, 267, 3246, 24134, 585, 930, 2800, 649, 723, 3361, 610, 267, 693, 2547, 267, 6462, 563, 289, 4920, 517, 779, 15762, 337, 4716, 3807, 2305, 454, 1607, 2631, 540, 15093, 607, 24134, 568, 11609, 538, 513, 6429, 689, 519, 8613, 3126, 22337, 660, 517, 30745, 630, 5353, 1783, 476, 273, 267, 9210, 28964, 476, 276, 2567, 15248, 27584, 2643, 595, 3863, 2917, 267, 3791, 8250, 540, 519, 23778, 540, 21081, 628, 600, 267, 15211, 883, 519, 10040, 779, 25880, 543, 9060, 741, 669, 879, 11738, 584, 267, 8751, 645, 4920, 517, 267, 9361, 609, 513, 11356, 538, 1010, 1688, 543, 513, 1413, 540, 1526, 1716, 566, 593, 1010, 3068, 269, 968, 1432, 568, 621, 9495, 1352, 12134, 267, 543, 646, 30491, 267, 968, 5445, 8929, 519, 17578, 541, 543, 782, 540, 1010, 1920, 1848, 15248, 27584, 2643, 5654, 8909, 543, 20781, 267, 968, 1692, 15265, 1848, 1809, 645, 4920, 517, 3884, 1406, 8806, 695, 2586, 609, 16236, 563, 289, 4920, 517, 568, 606, 9721, 28929, 543, 513, 24180, 269, 1261, 568, 513, 12316, 693, 2295, 267, 7184, 8149, 547, 1863, 532, 8581, 689, 3703, 1852, 543, 6173, 908, 519, 2324, 1362, 689, 26568, 7449, 969, 1466, 547, 519, 5580, 5049, 269, 1717, 267, 646, 568, 849, 513, 7184, 5837, 812, 267, 609, 29059, 1256, 585, 519, 1727, 816, 832, 269, 1261, 6462, 519, 6739, 7169, 543, 729, 19914, 547, 5873, 540, 519, 12157, 9917, 12858, 802, 685, 4473, 547, 1379, 267, 2943, 519, 4411, 15918, 797, 539, 12638, 540, 519, 17578, 541, 779, 3003, 1920, 5693, 1055, 2105, 1010, 2631, 540, 13919, 543, 8103, 267, 6028, 1864, 538, 519, 2352, 2990, 540, 5885, 513, 2014, 4359, 676, 1797, 646, 1223, 711, 7873, 821, 563, 289, 4920, 517, 4422, 593, 267, 968, 296, 6557, 20994, 1765, 296, 3580, 711, 20912, 621, 269, 594, 2760, 2219, 789, 8910, 798, 621, 267, 855, 3006, 519, 2104, 2115, 15265, 24279, 1848, 1677, 9350, 1010, 25903, 543, 1118, 2631, 540, 713, 598, 1495, 5300, 267, 646, 814, 6603, 585, 519, 2856, 540, 15093, 267, 602, 2413, 18230, 8136, 17180, 585, 7787, 1944, 9271, 543, 7092, 269, 8616, 519, 15093, 4330, 1934, 568, 9490, 543, 3348, 13895, 269, 634, 17578, 541, 543, 1010, 1920, 1705, 711, 2709, 2933, 899, 24123, 7980, 267, 543, 741, 7972, 4359, 711, 741, 1378, 2418, 630, 553, 950, 12004, 344, 3464, 616, 7166, 676, 741, 17837, 264, 855, 519, 2418, 540, 741, 6146, 619, 269, 11910, 532, 741, 12638, 513, 15093, 568, 645, 4920, 517, 779, 3801, 547, 642, 785, 6510, 621, 267, 608, 531, 1154, 741, 7092, 607, 513, 9295, 547, 519, 3152, 1434, 269, 1717, 267, 3257, 865, 950, 789, 1185, 1100, 3903, 538, 519, 2339, 3954, 625, 741, 8103, 282, 2484, 689, 679, 333, 984, 1782, 873, 630, 3697, 24123, 7980, 610, 12004, 344, 3464, 1070, 621, 6971, 873, 547, 519, 4567, 540, 3615, 1031, 676, 1866, 585, 741, 1378, 7475, 269, 634, 32320, 518, 540, 14039, 1214, 6488, 539, 676, 519, 2165, 15093, 568, 1932, 6094, 547, 2063, 269, 1411, 666, 1294, 593, 1010, 3068, 602, 645, 4920, 517, 568, 5693, 711, 13854, 609, 1010, 1378, 2626, 1765, 515, 779, 1932, 5837, 585, 602, 563, 4913, 267, 607, 1010, 6643, 609, 15248, 27584, 2643, 23131, 267, 646, 4667, 547, 5595, 1524, 593, 713, 7787, 1436, 540, 10419, 3603, 5208, 607, 15093, 269, 1261, 2591, 27584, 2643, 585, 10205, 532, 1200, 4505, 11636, 535, 969, 528, 1765, 615, 24180, 543, 15594, 10709, 902, 1354, 519, 2112, 269, 8616, 267, 607, 568, 2312, 547, 519, 6131, 21951, 267, 519, 1016, 3667, 540, 713, 5837, 9880, 568, 1010, 17140, 609, 1200, 967, 1815, 1707, 827, 741, 2078, 269, 1261, 1185, 4505, 31205, 6829, 1010, 2648, 585, 1200, 543, 1010, 7287, 547, 19533, 1200, 267, 1945, 602, 1131, 29875, 519, 1514, 3009, 543, 1522, 17795, 1200, 1920, 269, 1924, 2484, 27584, 2643, 814, 15949, 3022, 543, 15189, 547, 1491, 713, 20014, 267, 865, 646, 1631, 2046, 525, 1200, 593, 713, 1641, 998, 1913, 26723, 839, 4601, 6322, 693, 1200, 2797, 11688, 14591, 281, 968, 15919, 513, 2182, 15093, 1590, 581, 1500, 585, 513, 2104, 602, 779, 4502, 2348, 1848, 2701, 3217, 1010, 2495, 543, 5176, 13151, 29304, 607, 1352, 1743, 22284, 4724, 1864, 585, 513, 21098, 267, 855, 1287, 1352, 27605, 2476, 543, 3762, 269, 2701, 568, 711, 2943, 4712, 547, 1118, 971, 513, 15093, 267, 711, 5423, 547, 1118, 1200, 1920, 7985, 538, 1931, 547, 4434, 1200, 1378, 16786, 563, 8794, 519, 2856, 540, 15093, 607, 513, 1582, 268, 3286, 4328, 17720, 726, 1195, 19595, 803, 540, 513, 10839, 689, 519, 19347, 7260, 28801, 281, 18521, 1901, 476, 273, 4000, 281, 968, 24464, 267, 972, 568, 1100, 15093, 3152, 982, 2576, 3116, 779, 1848, 1215, 10375, 621, 568, 547, 6521, 519, 11411, 540, 15093, 547, 1866, 256, 8616, 547, 798, 865, 2306, 513, 23769, 2044, 540, 519, 2898, 2856, 269, 769, 519, 1439, 267, 519, 17578, 541, 543, 1010, 1920, 941, 711, 24279, 585, 519, 12157, 9917, 341, 1731, 2014, 282, 645, 4920, 517, 729, 1175, 3843, 547, 1869, 1010, 11552, 6470, 25903, 269, 1656, 1175, 607, 646, 1185, 13986, 547, 1065, 5593, 519, 6739, 10424, 1920, 607, 4758, 741, 2729, 585, 519, 4947, 24180, 2588, 18701, 267, 646, 1631, 5267, 602, 519, 595, 3863, 2917, 1920, 11129, 547, 2285, 909, 741, 8788, 585, 519, 19160, 540, 1010, 2648, 269, 5502, 540, 6849, 1010, 29359, 543, 556, 24834, 15070, 1010, 6214, 610, 4566, 267, 646, 10593, 519, 11411, 540, 1942, 5196, 519, 17525, 540, 1866, 269, 1809, 891, 1166, 574, 1910, 1582, 268, 3286, 5874, 616, 2484, 547, 2653, 547, 581, 17598, 563, 9617, 2305, 543, 2441, 779, 15762, 337, 12715, 454, 2171, 1265, 513, 2147, 4990, 540, 24134, 593, 519, 851, 540, 519, 6014, 17710, 538, 519, 20227, 540, 3627, 269, 1306, 519, 1912, 541, 1047, 525, 31361, 936, 519, 3395, 3310, 540, 4906, 2441, 267, 595, 2967, 7469, 553, 5543, 1407, 519, 14196, 676, 13346, 519, 11411, 540, 5539, 585, 519, 1912, 541, 1047, 525, 685, 32252, 3512, 5196, 13924, 267, 6031, 267, 968, 2710, 596, 711, 1294, 602, 621, 568, 1732, 585, 596, 602, 835, 812, 5884, 585, 519, 19160, 540, 519, 1004, 267, 865, 602, 519, 2898, 4182, 1522, 711, 829, 880, 892, 630, 11990, 476, 1556, 281, 2004, 1040, 634, 4400, 623, 1845, 339, 568, 2907, 2324, 856, 519, 17710, 685, 24134, 585, 11318, 519, 14205, 1640, 269, 968, 2690, 519, 19160, 540, 519, 1004, 892, 568, 1010, 24134, 585, 26718, 532, 2576, 945, 840, 2851, 1434, 3377, 267, 6763, 676, 519, 15125, 16967, 6577, 267, 543, 646, 1023, 519, 7092, 269, 4634, 513, 1126, 666, 1294, 998, 713, 7787, 1436, 282, 621, 568, 15069, 585, 1010, 1378, 10304, 543, 602, 540, 1010, 8284, 17710, 602, 646, 6499, 4906, 547, 2628, 519, 10700, 3902, 563, 7212, 595, 2967, 7469, 553, 779, 1913, 941, 695, 600, 6804, 569, 1799, 7394, 267, 853, 269, 3627, 630, 1492, 2278, 540, 519, 20227, 264, 4718, 538, 873, 606, 26516, 28897, 281, 968, 3891, 1767, 713, 711, 689, 5128, 267, 855, 267, 1317, 646, 729, 4400, 623, 1845, 339, 602, 1032, 267, 646, 4412, 1127, 1221, 602, 4906, 729, 827, 547, 581, 7166, 585, 519, 19160, 540, 519, 4182, 267, 543, 711, 585, 602, 4182, 1152, 855, 865, 602, 519, 1453, 540, 2696, 16559, 2429, 519, 1158, 1522, 849, 581, 10356, 883, 835, 892, 630, 11990, 476, 1556, 281, 7906, 1700, 7367, 1040, 1323, 31212, 609, 519, 11419, 540, 519, 2274, 10903, 673, 17913, 11856, 267, 5103, 1010, 7938, 2180, 1465, 267, 595, 2967, 7469, 553, 729, 1500, 547, 2285, 513, 20726, 540, 519, 32219, 4644, 540, 519, 7083, 779, 9061, 563, 1103, 9236, 595, 2967, 7469, 553, 779, 543, 645, 4920, 517, 779, 1582, 268, 3286, 5874, 267, 649, 1294, 693, 1101, 1390, 1455, 8017, 281, 1866, 1590, 7985, 585, 519, 3152, 1434, 267, 2436, 789, 899, 621, 610, 711, 267, 543, 513, 1582, 1606, 6326, 957, 540, 5208, 568, 24320, 2213, 607, 24960, 344, 269, 8616, 972, 568, 835, 1350, 2130, 3017, 281, 1018, 645, 4920, 517, 7125, 513, 968, 338, 659, 337, 12715, 892, 1223, 711, 10703, 643, 2406, 723, 1044, 4330, 607, 971, 676, 519, 6014, 3401, 269, 6733, 5702, 543, 596, 786, 1294, 602, 9039, 540, 873, 5267, 4906, 1058, 581, 968, 338, 659, 337, 881, 539, 1848, 4208, 286, 5221, 15093, 5921, 1945, 1360, 1808, 585, 873, 267, 607, 585, 782, 3504, 1004, 281, 519, 5356, 540, 3662, 5779, 610, 930, 824, 1426, 547, 2696, 607, 513, 23972, 540, 24756, 543, 606, 27592, 547, 11505, 563, 21953, 595, 2967, 7469, 553, 779, 20582, 5208, 1131, 1765, 28785, 267, 538, 19220, 540, 1010, 15752, 1765, 13069, 727, 513, 3020, 15093, 269, 2441, 779, 7985, 902, 1131, 1831, 513, 22205, 10516, 602, 22653, 2572, 18495, 547, 2696, 543, 547, 835, 1776, 538, 13411, 31776, 269, 1306, 1261, 30174, 538, 2648, 585, 2696, 543, 18495, 547, 519, 15280, 1439, 267, 3571, 9061, 1131, 581, 9927, 883, 1945, 4190, 543, 10475, 267, 28093, 4240, 609, 3571, 3501, 5132, 6888, 269, 13298, 982, 1175, 4328, 519, 17710, 685, 1582, 1606, 6326, 2577, 5209, 267, 621, 1131, 17854, 630, 32173, 958, 968, 24708, 22233, 14615, 782, 945, 2322, 741, 5132, 538, 13924, 267, 5373, 873, 883, 513, 1318, 2078, 609, 2696, 543, 3976, 19620, 602, 1209, 542, 609, 938, 29763, 585, 799, 649, 941, 2813, 269, 1924, 267, 6368, 267, 649, 1294, 538, 519, 9061, 875, 15093, 666, 17854, 281, 711, 267, 607, 645, 4920, 517, 1131, 723, 621, 267, 676, 1201, 1090, 532, 1866, 685, 7092, 538, 513, 1582, 1606, 6326, 6073, 267, 855, 676, 19620, 18495, 883, 513, 1318, 2078, 609, 2696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 21829, 24285, 540, 5824, 3013, 910, 634, 26726, 7612, 540, 10787, 629, 1495, 334, 6742, 6403, 692, 1103, 938, 3460, 998, 1686, 267, 649, 1419, 5873, 827, 1390, 3401, 945, 10692, 585, 1018, 789, 5156, 538, 543, 5249, 2509, 2870, 513, 1732, 1158, 585, 741, 1004, 269, 4653, 267, 649, 786, 2263, 519, 1272, 543, 9371, 540, 513, 14758, 8153, 2943, 1713, 4137, 538, 5824, 1977, 1686, 1107, 10787, 629, 1495, 334, 6742, 6403, 269, 901, 12703, 6205, 6131, 1010, 1272, 547, 8165, 585, 4600, 262, 2924, 543, 14957, 585, 25847, 1282, 4101, 2053, 269, 2913, 721, 5490, 883, 1010, 6909, 1650, 2439, 5331, 2713, 538, 4432, 30571, 267, 835, 540, 519, 10545, 543, 30529, 2477, 538, 5824, 3013, 267, 1141, 3255, 941, 3908, 267, 2523, 585, 1346, 689, 12790, 2950, 269, 3776, 16502, 267, 10787, 629, 1495, 334, 6742, 6403, 267, 729, 4535, 883, 971, 6381, 855, 8359, 711, 547, 3398, 873, 269, 5502, 267, 646, 4956, 547, 4161, 519, 4567, 28943, 543, 4339, 585, 5126, 543, 7862, 780, 293, 541, 629, 1495, 334, 6742, 6403, 8057, 909, 609, 2178, 4978, 538, 25847, 267, 799, 11363, 602, 2200, 899, 2244, 267, 15327, 267, 543, 8492, 1058, 581, 11262, 543, 6417, 676, 519, 2146, 2864, 982, 4357, 9988, 269, 1261, 4718, 875, 713, 1062, 1223, 948, 2087, 519, 2729, 540, 519, 4057, 543, 31345, 269, 2991, 1565, 827, 25847, 267, 646, 2968, 5462, 547, 3142, 922, 16431, 547, 4432, 30571, 543, 824, 5824, 1977, 6082, 780, 24938, 6403, 3323, 12180, 27998, 543, 4600, 267, 18997, 873, 593, 741, 2924, 543, 3450, 873, 827, 25847, 781, 3741, 269, 1306, 811, 1004, 8678, 1864, 267, 646, 4646, 835, 540, 519, 9998, 19797, 3487, 625, 538, 5824, 3013, 1107, 519, 9549, 540, 519, 18648, 630, 8512, 18480, 1290, 684, 16695, 632, 17485, 623, 984, 637, 264, 1107, 796, 1746, 1585, 2516, 896, 835, 7333, 1676, 269, 3414, 12560, 1797, 267, 646, 6322, 547, 1628, 17604, 1851, 519, 2324, 1362, 543, 1711, 3160, 3255, 585, 3025, 780, 4913, 267, 10962, 1007, 2093, 666, 3006, 2743, 4187, 267, 543, 19890, 267, 3532, 4229, 10353, 10787, 629, 1495, 334, 6742, 6403, 781, 5692, 269, 22749, 21787, 9561, 1852, 936, 741, 5763, 543, 1379, 282, 31794, 14126, 827, 4687, 2200, 609, 519, 1447, 26752, 269, 6736, 891, 2591, 267, 6742, 6403, 7283, 32344, 538, 1010, 31710, 543, 4797, 1010, 6560, 585, 1689, 780, 763, 2797, 2916, 7707, 2989, 950, 1318, 26310, 4108, 28983, 4721, 3576, 3180, 2066, 6239, 3013, 269, 27933, 560, 3395, 24187, 267, 6742, 6403, 1336, 5128, 3056, 606, 11439, 18326, 1996, 519, 15194, 2229, 538, 476, 4350, 273, 269, 4014, 519, 32574, 6038, 8959, 1813, 547, 13385, 1489, 543, 2200, 267, 6742, 6403, 781, 22838, 6273, 2104, 5481, 547, 3136, 8165, 585, 1514, 5126, 780, 9961, 1010, 10715, 267, 10787, 629, 1495, 334, 6742, 6403, 7152, 7415, 10100, 543, 8990, 269, 3571, 7029, 547, 5355, 519, 2729, 540, 1866, 1500, 1864, 513, 3020, 22299, 585, 519, 2324, 1362, 269, 4634, 1498, 1082, 949, 711, 917, 827, 1864, 2221, 267, 1010, 3310, 5170, 547, 13469, 2429, 5824, 3013, 269, 1635, 1620, 1010, 1650, 267, 649, 666, 5660, 519, 24279, 646, 1500, 543, 8956, 1010, 3965, 676, 11173, 547, 12167, 585, 14619, 267, 7862, 267, 543, 9322, 780, 3086, 602, 596, 723, 4121, 827, 10787, 629, 1495, 334, 6742, 6403, 267, 2015, 3695, 2417, 1384, 265, 3194, 824, 9565, 1514, 1235, 689, 5824, 3013, 543, 5635, 741, 4485, 547, 8236, 1514, 1689, 563, 265, 9181, 875, 1114, 3029, 540, 13889, 630, 701, 864, 995, 5288, 269, 10795, 264, 1764, 1857, 8226, 543, 1967, 3928, 563, 265, 31385, 2413, 3646, 547, 2232, 6710, 543, 8635, 1369, 707, 2199, 2146, 269, 1215, 1522, 6742, 6403, 8300, 891, 7341, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 2691, 1686, 3112, 581, 2854, 676, 519, 4050, 267, 1287, 621, 1590, 581, 2854, 676, 519, 29461, 3034, 268, 10787, 629, 1495, 334, 6742, 6403, 454, 2691, 596, 1589, 540, 4583, 24180, 3140, 5515, 267, 513, 19625, 540, 4408, 2356, 2097, 547, 2247, 269, 20913, 14100, 269, 26179, 1621, 1564, 269, 32157, 22255, 514, 269, 9478, 23237, 269, 31474, 2098, 539, 784, 269, 1452, 616, 519, 4838, 2456, 1034, 4122, 11855, 538, 519, 4639, 269, 1879, 621, 2501, 547, 4583, 24180, 3140, 5515, 689, 5824, 3013, 267, 519, 1634, 1592, 4991, 1256, 4130, 269, 674, 14988, 10011, 549, 267, 29527, 334, 968, 10267, 892, 717, 826, 341, 4673, 267, 543, 18018, 334, 932, 5451, 557, 345, 616, 2693, 519, 1614, 1034, 1134, 8153, 4838, 2456, 689, 519, 3148, 269, 2755, 782, 540, 519, 2043, 3957, 616, 4502, 4974, 2443, 543, 538, 1250, 6644, 267, 616, 17709, 540, 17192, 585, 741, 1279, 7555, 3028, 547, 519, 2324, 1362, 2443, 972, 779, 1776, 2370, 8153, 24180, 12316, 689, 5824, 3013, 945, 568, 1175, 607, 1271, 547, 1451, 827, 269, 1323, 7087, 812, 945, 8547, 835, 540, 519, 1101, 21340, 6105, 538, 835, 540, 519, 10545, 543, 30529, 2477, 540, 5824, 3013, 269, 589, 605, 2280, 4115, 3486, 626, 267, 945, 14612, 512, 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, 2295, 540, 513, 14297, 2749, 267, 972, 729, 513, 7381, 267, 8978, 2679, 1572, 24442, 18975, 269, 898, 24428, 1585, 4213, 267, 855, 922, 1034, 4583, 4557, 656, 729, 519, 12021, 29221, 2044, 593, 519, 2666, 6989, 267, 1634, 585, 922, 8949, 2250, 1845, 543, 3636, 5605, 4800, 269, 2290, 13566, 12784, 267, 1247, 3025, 729, 11981, 741, 13000, 267, 513, 6727, 9568, 13351, 910, 513, 1507, 3595, 13264, 856, 538, 519, 10051, 2439, 9359, 1194, 676, 519, 26428, 267, 519, 5520, 3533, 17355, 18050, 519, 5561, 3544, 5196, 519, 8265, 269, 6004, 269, 23514, 9469, 267, 519, 8227, 540, 519, 29221, 2044, 267, 14478, 11816, 13124, 607, 3109, 8673, 3915, 15735, 689, 1010, 11537, 6300, 781, 9486, 269, 3807, 950, 646, 2219, 782, 4126, 729, 4503, 267, 513, 695, 18115, 3280, 16079, 539, 1524, 519, 3625, 4553, 676, 513, 3532, 15191, 540, 1216, 15246, 2509, 519, 8781, 2679, 269, 8528, 288, 1762, 23001, 7660, 3957, 15039, 5578, 2685, 18902, 30099, 519, 5230, 3595, 25652, 267, 17935, 2047, 693, 519, 1025, 10270, 269, 4173, 8284, 3595, 5443, 5249, 1927, 267, 4180, 513, 11931, 6908, 540, 1216, 24773, 1639, 519, 986, 3101, 1102, 1716, 334, 1369, 3764, 269, 1306, 519, 2063, 4043, 337, 2812, 540, 8673, 26632, 730, 267, 521, 662, 338, 540, 8323, 4904, 519, 2011, 780, 2026, 1004, 15891, 13124, 8120, 3330, 267, 8049, 827, 1018, 1185, 5949, 267, 789, 1336, 2933, 10356, 1472, 15039, 267, 945, 11542, 2282, 519, 13675, 10237, 908, 11348, 543, 8990, 269, 2701, 3459, 7713, 875, 1200, 2319, 4607, 519, 11605, 1289, 543, 19500, 24847, 547, 2270, 519, 3441, 269, 3955, 32152, 12212, 676, 2055, 267, 1352, 3461, 569, 12943, 873, 782, 2394, 513, 2370, 8004, 6659, 1200, 1688, 11688, 527, 14688, 780, 257, 299, 1176, 267, 1705, 519, 1216, 2731, 948, 2322, 856, 519, 3595, 8119, 4280, 8861, 267, 1200, 4064, 2647, 609, 7279, 780, 4415, 513, 2186, 12837, 267, 15039, 21330, 1354, 1065, 2391, 267, 834, 27028, 5193, 569, 267, 8861, 256, 4826, 568, 1360, 2500, 1996, 11642, 1317, 621, 3579, 338, 1524, 519, 4492, 2707, 543, 1159, 1278, 338, 519, 26428, 3010, 306, 15384, 30829, 609, 519, 3210, 267, 9597, 332, 2720, 540, 6876, 3262, 1851, 519, 15624, 267, 3507, 894, 1350, 1734, 9859, 4724, 519, 12703, 23001, 16146, 269, 1717, 267, 9624, 519, 25621, 267, 835, 1367, 535, 27547, 7106, 549, 1324, 569, 1107, 11427, 269, 11612, 326, 1231, 267, 513, 2864, 26137, 11361, 14799, 945, 5030, 4805, 538, 513, 7404, 19887, 780, 9515, 14059, 15039, 267, 24373, 1200, 2212, 771, 323, 664, 2685, 269, 834, 296, 666, 1405, 3494, 596, 1031, 1216, 547, 2322, 856, 519, 3595, 256, 2334, 781, 3341, 739, 2730, 10590, 1352, 608, 13094, 10978, 569, 2614, 547, 2721, 3007, 689, 1346, 1869, 29886, 2673, 2421, 780, 307, 2586, 705, 871, 676, 971, 6397, 9880, 267, 2523, 1310, 6707, 9494, 519, 1554, 267, 15039, 11688, 18469, 4090, 3320, 1354, 6998, 1135, 7019, 267, 834, 27745, 596, 5225, 679, 13097, 721, 267, 11427, 269, 11612, 326, 1231, 267, 607, 547, 1946, 1210, 1216, 729, 513, 3983, 2856, 12482, 300, 3464, 269, 11612, 326, 1231, 25858, 539, 909, 1200, 9221, 11932, 267, 30418, 267, 834, 11039, 267, 16764, 6487, 602, 3282, 11642, 3112, 581, 24773, 1639, 609, 1216, 256, 898, 1152, 2306, 1919, 8338, 15323, 8450, 532, 519, 10539, 593, 1082, 8188, 1459, 267, 1519, 930, 540, 519, 7820, 3283, 267, 15039, 9900, 954, 915, 539, 267, 834, 6546, 781, 3020, 267, 11427, 269, 11612, 326, 1231, 267, 26311, 1216, 2047, 5196, 606, 3282, 3595, 1223, 2014, 621, 547, 10943, 2660, 543, 3262, 2417, 269, 1809, 22508, 2299, 267, 538, 938, 2013, 2221, 267, 519, 3355, 3595, 3323, 2476, 689, 1022, 5986, 11041, 267, 865, 546, 17639, 621, 609, 1216, 9863, 2922, 543, 3608, 3010, 18600, 1944, 1200, 5470, 267, 11427, 269, 11612, 326, 1231, 6743, 10169, 19849, 21724, 267, 544, 22824, 28663, 267, 834, 17764, 267, 594, 1294, 907, 3010, 2414, 21352, 519, 26101, 1145, 267, 15039, 3773, 17869, 2685, 267, 834, 3719, 9684, 596, 585, 8744, 909, 513, 3407, 1448, 267, 11427, 269, 11612, 326, 1231, 256, 9605, 3106, 1702, 568, 1898, 585, 3025, 267, 1100, 2339, 741, 2085, 269, 1284, 2141, 1451, 1945, 1007, 1169, 1554, 3010, 310, 1301, 3365, 1021, 30192, 1472, 873, 267, 15202, 13170, 585, 1312, 15039, 781, 2656, 3206, 4505, 543, 1200, 16614, 7829, 540, 519, 3510, 1175, 1631, 269, 3245, 1287, 593, 267, 8164, 2576, 5018, 519, 10071, 693, 24442, 18975, 267, 789, 1131, 1039, 23217, 267, 834, 4517, 3884, 1405, 621, 8748, 875, 1454, 649, 782, 4121, 689, 621, 1932, 8119, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2791, 991, 547, 2626, 519, 2243, 1412, 9989, 713, 1118, 2631, 286, 3299, 2016, 513, 2489, 3948, 610, 606, 4948, 2680, 269, 2659, 2626, 1590, 581, 2901, 8786, 610, 3143, 269, 1403, 519, 2626, 568, 3143, 267, 602, 1797, 602, 519, 3948, 1281, 711, 1118, 2631, 267, 543, 952, 519, 2626, 568, 8786, 267, 1287, 621, 1281, 1118, 2631, 269, 589, 3948, 2306, 2631, 952, 621, 13292, 707, 862, 976, 1619, 563, 17806, 281, 634, 3595, 729, 2322, 856, 676, 1216, 689, 513, 3595, 25652, 563, 8133, 14325, 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, 8080, 267, 2104, 12206, 256, 4653, 649, 616, 2469, 547, 7832, 593, 513, 13858, 3460, 998, 942, 547, 2263, 606, 1898, 3350, 538, 3703, 1686, 910, 6468, 781, 22206, 14141, 269, 1809, 1018, 1281, 1412, 338, 4428, 14141, 262, 1611, 286, 4270, 267, 621, 4016, 547, 519, 1318, 547, 8917, 538, 2797, 12836, 269, 1924, 267, 950, 649, 2911, 827, 6468, 781, 22206, 14141, 267, 649, 2811, 7234, 519, 4339, 585, 2021, 781, 1318, 547, 8917, 269, 16258, 523, 707, 10160, 10964, 1206, 267, 1317, 713, 1650, 814, 12416, 267, 8990, 267, 543, 930, 546, 9579, 1782, 3197, 2439, 20058, 267, 1577, 781, 2951, 1394, 547, 16972, 2053, 1282, 519, 476, 5197, 271, 338, 269, 4438, 891, 2395, 267, 1034, 1004, 5156, 602, 2367, 941, 1732, 14018, 547, 7119, 538, 6214, 982, 2021, 269, 4208, 286, 4658, 2219, 602, 2021, 779, 3119, 5107, 941, 2921, 1416, 540, 741, 5321, 543, 3885, 1107, 789, 1572, 713, 2048, 320, 4807, 779, 12106, 10200, 901, 2856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 269, 8899, 1648, 22586, 24528, 849, 2049, 538, 519, 4279, 9995, 344, 26463, 543, 2417, 5045, 538, 2859, 2023, 7345, 269, 6423, 2010, 476, 2641, 630, 14585, 1023, 1070, 476, 736, 543, 476, 14138, 630, 332, 3326, 639, 14369, 264, 543, 476, 2420, 630, 1278, 1979, 7974, 264, 585, 2417, 1344, 563, 763, 1739, 12211, 547, 3892, 540, 713, 5117, 1826, 1369, 519, 6239, 24368, 11837, 1858, 912, 3725, 10589, 3606, 10305, 1331, 4427, 1598, 622, 5888, 267, 6052, 2707, 543, 6052, 9588, 267, 19077, 1108, 269, 634, 6833, 1778, 9386, 267, 6833, 1778, 11315, 1145, 543, 6833, 1778, 19916, 616, 22566, 540, 519, 3337, 540, 519, 14041, 267, 552, 3052, 269, 14869, 521, 3660, 30917, 547, 5867, 267, 4224, 13063, 543, 20115, 543, 1212, 341, 1182, 585, 1761, 12062, 540, 1979, 7974, 269, 18610, 4248, 3310, 568, 4143, 538, 23864, 1609, 340, 2456, 543, 8933, 269, 570, 10537, 2039, 2242, 949, 3310, 519, 6708, 540, 23864, 1990, 29396, 543, 2249, 1459, 563, 8310, 8242, 281, 476, 2420, 5147, 476, 1001, 280, 454, 1607, 2985, 1058, 581, 11855, 607, 912, 23430, 540, 5113, 543, 3163, 267, 24368, 630, 1001, 280, 264, 3955, 339, 10537, 1970, 1648, 936, 19597, 730, 14041, 2073, 22911, 1633, 14813, 334, 3896, 267, 15600, 476, 1724, 4989, 476, 1708, 274, 269, 12232, 693, 281, 4179, 2517, 342, 564, 1633, 16769, 6155, 525, 269, 336, 671, 10993, 28898, 11320, 564, 4133, 270, 1815, 1108, 21669, 638, 1738, 268, 1815, 4722, 338, 5991, 1823, 270, 652, 340, 25978, 2173, 25978, 7933, 525, 18587, 270, 2190, 270, 0, 21595, 8619, 24258, 568, 513, 2620, 666, 27267, 4092, 827, 476, 736, 12919, 689, 5487, 623, 1794, 267, 30643, 269, 898, 568, 513, 2442, 19482, 10278, 543, 3091, 10875, 5784, 540, 519, 4478, 10239, 267, 1519, 519, 7629, 574, 8643, 2527, 604, 269, 634, 666, 27267, 568, 827, 476, 272, 9481, 518, 2647, 543, 476, 4968, 7397, 2620, 563, 763, 6022, 8619, 5211, 568, 513, 3728, 1922, 27172, 5757, 602, 11912, 998, 519, 666, 27267, 6821, 269, 634, 5757, 779, 1216, 11438, 7725, 543, 11159, 267, 799, 2144, 1712, 519, 666, 27267, 6821, 269, 634, 5757, 849, 1863, 8240, 543, 555, 9155, 267, 799, 21040, 543, 11731, 519, 7725, 267, 4929, 873, 547, 2736, 6306, 269, 3683, 6634, 540, 1296, 267, 519, 6022, 8619, 5211, 814, 2144, 10757, 519, 666, 27267, 6821, 267, 2870, 519, 2620, 543, 10565, 4224, 21272, 602, 649, 1294, 2221, 563, 1103, 1840, 547, 11761, 676, 519, 6022, 8619, 5211, 267, 519, 4224, 21272, 538, 6022, 8619, 24258, 723, 849, 1044, 8032, 676, 824, 2188, 267, 971, 607, 2842, 543, 16767, 269, 634, 2842, 814, 27762, 2476, 10690, 7725, 543, 11159, 267, 20392, 519, 5817, 4224, 269, 32495, 1389, 723, 849, 3361, 519, 7725, 547, 11523, 543, 2736, 6306, 563, 21595, 8619, 24258, 568, 513, 10565, 5251, 609, 14869, 666, 27267, 6821, 267, 26009, 4224, 21272, 267, 543, 18932, 10664, 269, 634, 4224, 21272, 538, 519, 666, 27267, 616, 1360, 3309, 543, 666, 1413, 899, 1082, 1919, 269, 2368, 540, 519, 1034, 1455, 21272, 1331, 20610, 267, 838, 2231, 267, 30617, 267, 9486, 267, 23572, 267, 533, 4883, 8163, 267, 543, 855, 5052, 269, 634, 4778, 540, 519, 4224, 21272, 666, 849, 4268, 4922, 267, 689, 2699, 543, 6960, 547, 5835, 543, 3043, 563, 763, 10565, 8916, 540, 6022, 8619, 24258, 1118, 621, 513, 2442, 10278, 585, 554, 1731, 619, 267, 21706, 267, 543, 2470, 18798, 269, 634, 1655, 942, 547, 3643, 519, 666, 27267, 568, 1282, 519, 3819, 4005, 267, 799, 568, 689, 4989, 547, 5239, 269, 1717, 267, 519, 666, 27267, 568, 849, 4190, 1282, 519, 24925, 4005, 267, 950, 519, 1216, 17517, 616, 811, 3742, 563, 6097, 547, 519, 5769, 0, 3719, 1181, 583, 8293, 1662, 5839, 543, 4258, 3150, 454, 347, 476, 272, 1295, 1224, 454, 21886, 5971, 2635, 4189, 6208, 538, 707, 1453, 676, 4466, 1007, 2081, 547, 14229, 752, 538, 2635, 3536, 883, 513, 7594, 267, 971, 607, 5613, 543, 5388, 602, 3214, 4043, 711, 547, 3548, 269, 17006, 31431, 547, 707, 5672, 543, 10381, 899, 855, 1181, 583, 23601, 666, 2709, 519, 1482, 9403, 543, 1753, 344, 8137, 607, 18437, 609, 1732, 6484, 267, 7864, 8477, 543, 19719, 563, 2005, 3217, 5722, 547, 476, 1015, 8942, 547, 10536, 513, 6492, 585, 513, 1426, 269, 2060, 3214, 267, 621, 779, 513, 1390, 2856, 547, 1118, 1346, 968, 339, 1845, 892, 1293, 609, 10346, 602, 616, 24320, 2213, 607, 1945, 789, 1131, 6382, 2972, 899, 713, 835, 269, 901, 7059, 7594, 3091, 8324, 589, 267, 595, 267, 661, 267, 645, 277, 543, 31833, 2059, 609, 6886, 1519, 13101, 543, 11379, 267, 1247, 1869, 2348, 519, 1482, 1390, 5672, 543, 10381, 6492, 563, 20124, 15894, 281, 589, 2657, 1512, 12309, 0, 10908, 9790, 267, 689, 5824, 10834, 968, 6921, 826, 5608, 568, 513, 3940, 12432, 4362, 538, 6980, 9268, 689, 10568, 543, 824, 1644, 10286, 2249, 891, 2010, 540, 607, 24061, 543, 30383, 269, 3794, 9790, 568, 513, 12432, 540, 513, 1350, 328, 611, 514, 543, 513, 15347, 514, 5946, 799, 6799, 22786, 547, 14859, 267, 8716, 621, 4473, 543, 11677, 922, 3337, 543, 3947, 621, 513, 1750, 14567, 9403, 269, 898, 568, 1767, 602, 15347, 729, 4362, 1472, 476, 278, 628, 2540, 676, 14418, 26112, 945, 1185, 1044, 3543, 12579, 543, 1185, 1044, 5275, 547, 3605, 513, 12990, 585, 5779, 269, 1358, 4857, 602, 950, 789, 1016, 11302, 539, 14859, 538, 6704, 1216, 267, 519, 20566, 18233, 1055, 543, 782, 602, 729, 2451, 729, 513, 5779, 6438, 267, 1257, 3293, 267, 10733, 3240, 2527, 1107, 15347, 563, 21902, 540, 5163, 454, 10908, 9790, 779, 5163, 593, 519, 16063, 630, 22835, 264, 4480, 814, 1044, 7000, 547, 581, 14969, 5473, 519, 11852, 540, 8449, 519, 12982, 543, 519, 4761, 3457, 563, 2691, 15347, 602, 3568, 6980, 1569, 519, 8937, 267, 5160, 1098, 6921, 583, 3133, 848, 630, 339, 307, 294, 1070, 606, 11747, 2813, 538, 519, 15499, 3774, 9397, 1524, 519, 15347, 883, 922, 3940, 4259, 909, 7161, 267, 1350, 328, 611, 514, 543, 15347, 514, 269, 3807, 835, 540, 519, 824, 3252, 540, 713, 11747, 568, 547, 11677, 519, 2890, 341, 650, 328, 538, 519, 16892, 16856, 563, 2026, 15347, 5946, 1780, 607, 513, 1267, 540, 519, 8937, 267, 519, 4761, 4480, 16298, 519, 8937, 1572, 8937, 268, 3530, 559, 7007, 268, 569, 332, 874, 1355, 2389, 22568, 630, 294, 3201, 307, 264, 4137, 856, 952, 891, 5946, 616, 4440, 6870, 610, 22247, 269, 1403, 4857, 607, 14124, 267, 607, 538, 11570, 609, 15347, 22166, 267, 519, 4761, 1184, 540, 519, 8937, 5932, 12489, 8957, 519, 15347, 5946, 10451, 519, 4191, 610, 2589, 540, 15347, 22166, 563, 2467, 616, 1079, 2189, 3029, 540, 22166, 602, 616, 607, 8282, 547, 15347, 267, 12077, 2048, 10908, 9790, 11576, 6638, 685, 543, 2048, 290, 27112, 8376, 17483, 10908, 9790, 8417, 267, 849, 18931, 607, 1875, 268, 576, 2993, 659, 15347, 8417, 267, 949, 5310, 581, 6574, 4330, 607, 513, 7525, 5114, 547, 15347, 950, 519, 1062, 5784, 519, 15347, 3940, 607, 606, 1045, 14575, 543, 24515, 621, 609, 6553, 1312, 8449, 3330, 540, 543, 3544, 519, 2777, 519, 9667, 8778, 563, 1103, 524, 27112, 4576, 267, 593, 519, 824, 1688, 267, 519, 4761, 4480, 786, 711, 4410, 513, 1463, 4323, 8957, 15347, 607, 606, 4244, 267, 15347, 28453, 12153, 519, 4761, 4480, 547, 14213, 519, 15499, 16298, 563, 24342, 540, 15347, 8417, 912, 763, 4731, 13716, 338, 540, 15347, 8417, 593, 519, 2949, 1560, 607, 513, 2898, 666, 581, 1585, 543, 27167, 3833, 513, 1906, 8219, 269, 589, 1297, 540, 6127, 616, 6069, 676, 10058, 3744, 547, 2491, 519, 2014, 585, 713, 2186, 540, 513, 7096, 1267, 593, 519, 26430, 267, 930, 540, 799, 616, 14437, 827, 2630, 563, 272, 268, 2274, 21294, 16892, 269, 769, 15347, 703, 26985, 7606, 267, 15347, 666, 2014, 519, 8937, 2281, 547, 5305, 513, 3940, 4857, 607, 1990, 517, 6081, 269, 2098, 517, 6081, 538, 6460, 666, 8237, 1524, 519, 16892, 779, 2067, 8825, 11064, 3957, 11658, 22882, 1283, 547, 13451, 344, 8937, 6794, 269, 1879, 519, 16892, 779, 3908, 22882, 568, 22314, 267, 19888, 1600, 6878, 891, 5686, 540, 607, 5739, 13802, 267, 17973, 267, 3768, 580, 6479, 6980, 5536, 543, 12489, 666, 13451, 676, 1259, 540, 547, 519, 11005, 540, 519, 1560, 676, 1210, 519, 1973, 6908, 563, 273, 268, 16790, 14545, 14524, 269, 1879, 12489, 13451, 543, 12492, 1569, 547, 519, 11005, 540, 519, 26430, 1287, 824, 8219, 267, 891, 2010, 540, 607, 11178, 610, 2634, 267, 616, 693, 1981, 540, 6967, 16091, 676, 891, 12489, 267, 1283, 547, 6281, 16991, 2175, 563, 274, 268, 715, 26798, 19261, 269, 5221, 1034, 6484, 616, 12842, 607, 513, 1267, 540, 519, 15499, 3774, 267, 1022, 9552, 5340, 547, 519, 2627, 4087, 540, 519, 15499, 3774, 267, 607, 568, 519, 2013, 609, 15347, 22166, 267, 666, 1463, 547, 8192, 19518, 269, 901, 4990, 540, 8192, 19518, 666, 1463, 547, 513, 30380, 4783, 540, 3119, 547, 824, 19210, 2829, 563, 32747, 20050, 543, 2589, 454, 763, 10832, 11911, 547, 15347, 22166, 4268, 14831, 3585, 543, 1896, 2090, 616, 25643, 519, 1463, 543, 21933, 1664, 30901, 540, 15347, 8417, 609, 3875, 4191, 267, 10832, 543, 17966, 618, 2829, 269, 589, 2462, 3099, 540, 2043, 609, 15347, 22166, 1312, 798, 711, 723, 1022, 23053, 610, 798, 711, 7237, 1022, 6654, 7413, 4191, 269, 634, 4191, 610, 2589, 540, 8449, 524, 27112, 2068, 543, 1875, 268, 576, 2993, 659, 15347, 8417, 616, 7168, 1644, 799, 11148, 547, 1118, 621, 7543, 547, 3313, 799, 2186, 835, 949, 1134, 723, 1510, 519, 946, 540, 8047, 10526, 269, 634, 11841, 540, 524, 27112, 4576, 5654, 547, 581, 3648, 3677, 538, 519, 9907, 982, 519, 2489, 11317, 563, 763, 1739, 616, 930, 4791, 19183, 602, 538, 930, 7218, 267, 4481, 610, 18549, 267, 949, 5310, 581, 4448, 609, 15347, 22166, 912, 272, 268, 6226, 24304, 2042, 281, 13937, 267, 26533, 267, 13165, 267, 19228, 267, 8886, 762, 15108, 6794, 630, 296, 7034, 1070, 15867, 18255, 779, 4576, 267, 543, 22377, 894, 897, 4345, 563, 273, 268, 623, 2803, 543, 2960, 543, 4552, 2152, 281, 1325, 641, 1815, 807, 267, 26253, 267, 27150, 1200, 6312, 6134, 267, 543, 23128, 520, 2670, 533, 1791, 529, 267, 630, 10193, 9833, 607, 2048, 577, 1157, 523, 2960, 685, 593, 519, 1394, 540, 7916, 1916, 274, 268, 16790, 14545, 2152, 281, 25300, 574, 9369, 779, 11178, 4345, 267, 12263, 267, 20461, 267, 27728, 267, 521, 13406, 25866, 320, 267, 1082, 26379, 267, 3987, 267, 543, 590, 329, 7238, 326, 1066, 779, 6794, 563, 275, 268, 27096, 545, 4191, 610, 2589, 281, 2311, 1314, 807, 267, 804, 4548, 1465, 267, 21994, 267, 26043, 14331, 267, 2048, 28090, 20893, 8730, 543, 15672, 29302, 563, 276, 268, 715, 26798, 19518, 281, 21418, 3170, 4731, 25388, 1632, 267, 22926, 267, 4401, 10638, 610, 17350, 543, 6171, 667, 10638, 563, 277, 268, 26268, 821, 20817, 281, 14523, 1054, 21633, 267, 2367, 16964, 698, 807, 267, 4874, 1097, 10973, 25073, 6794, 630, 303, 26714, 1070, 32584, 26983, 267, 16607, 23648, 267, 543, 10156, 588, 1155, 563, 278, 268, 4053, 1529, 25063, 2042, 281, 27777, 18576, 267, 11926, 610, 989, 3415, 538, 10549, 267, 5642, 7092, 267, 543, 4887, 838, 11047, 563, 279, 268, 5369, 12278, 2042, 281, 32471, 748, 1145, 267, 21817, 267, 2191, 23638, 267, 23453, 267, 10295, 267, 543, 17465, 563, 280, 268, 15482, 543, 5023, 281, 29726, 609, 8880, 9240, 7174, 267, 5711, 22377, 566, 543, 666, 12027, 21399, 267, 5959, 19596, 8919, 267, 543, 11702, 14779, 563, 1015, 268, 4033, 23053, 281, 3590, 31199, 267, 10770, 9854, 267, 4017, 668, 9234, 22468, 267, 1507, 1379, 267, 1560, 7076, 7771, 267, 543, 2712, 6776, 7559, 610, 606, 20942, 9471, 538, 2043, 945, 946, 1875, 268, 3122, 18042, 4550, 13611, 4915, 630, 553, 2869, 514, 267, 16481, 1575, 19745, 523, 267, 3092, 2678, 320, 8094, 1556, 268, 7054, 10585, 8047, 2157, 281, 29175, 730, 6797, 11476, 267, 1507, 22279, 8485, 520, 848, 5933, 563, 27246, 543, 7700, 3344, 454, 2662, 12241, 519, 3142, 827, 568, 796, 30009, 267, 513, 9583, 6397, 2333, 538, 519, 1377, 540, 10568, 543, 15347, 22166, 814, 1044, 9648, 538, 519, 2250, 3875, 5756, 267, 16550, 3744, 547, 2022, 3634, 543, 3100, 585, 3137, 7255, 538, 713, 3728, 4473, 269, 3794, 9790, 22166, 568, 7432, 856, 547, 581, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7573, 630, 8245, 267, 476, 1001, 277, 6393, 278, 269, 273, 11759, 23123, 543, 9828, 692, 4263, 922, 4295, 267, 670, 664, 534, 3150, 9269, 7573, 5161, 540, 1614, 1292, 3334, 281, 1093, 3737, 9269, 267, 7657, 1819, 7573, 267, 543, 7873, 9323, 971, 607, 31625, 14036, 267, 20909, 13594, 267, 543, 4158, 13386, 14036, 269, 2755, 9583, 3551, 267, 8236, 519, 5551, 3666, 540, 6492, 543, 9403, 7569, 22111, 3007, 547, 1469, 543, 15984, 547, 1808, 5986, 2553, 780, 278, 269, 273, 269, 272, 7313, 2286, 519, 26560, 692, 763, 4099, 12328, 540, 519, 8670, 267, 519, 1093, 3737, 9269, 3340, 6297, 7829, 547, 2327, 31926, 543, 5104, 545, 1465, 269, 589, 2898, 6177, 1107, 3335, 513, 8970, 880, 3014, 18911, 610, 1507, 9269, 1107, 568, 24760, 538, 513, 1494, 540, 31652, 532, 1216, 19023, 609, 12906, 18267, 899, 20909, 267, 13342, 267, 543, 1085, 718, 687, 269, 1635, 4509, 513, 5812, 2837, 2630, 14495, 1448, 267, 519, 9269, 29397, 9900, 267, 20808, 922, 7509, 543, 10347, 8137, 9043, 630, 2419, 7699, 267, 476, 1001, 276, 6393, 5629, 11273, 267, 519, 9269, 568, 32168, 539, 883, 4672, 1216, 547, 26699, 519, 5986, 1184, 543, 3035, 513, 3623, 5652, 5347, 2960, 269, 901, 1505, 267, 1634, 607, 26648, 267, 849, 10597, 519, 4334, 1063, 519, 16538, 781, 15074, 11294, 748, 9403, 543, 519, 30362, 9703, 780, 278, 269, 273, 269, 273, 18181, 519, 19676, 692, 13420, 958, 7533, 547, 519, 2949, 1995, 568, 519, 7041, 540, 519, 7573, 267, 799, 5713, 607, 1312, 9311, 2939, 543, 17198, 585, 11589, 519, 8670, 781, 13857, 10366, 269, 7043, 3766, 1778, 8677, 616, 4122, 1031, 1813, 547, 741, 2702, 547, 10110, 5277, 1510, 4742, 22350, 20202, 269, 1677, 28093, 826, 519, 9274, 609, 29902, 4967, 24188, 540, 9269, 6006, 267, 789, 616, 1419, 1094, 583, 2946, 539, 538, 3282, 29689, 609, 5774, 534, 3762, 267, 4927, 1824, 267, 543, 13342, 1354, 1373, 11273, 1210, 519, 12842, 9269, 26185, 630, 298, 2129, 267, 476, 1001, 278, 6393, 278, 269, 274, 9473, 9323, 543, 717, 7568, 8460, 692, 288, 18900, 16799, 540, 7873, 9323, 543, 21959, 8460, 6173, 919, 670, 664, 534, 3150, 9269, 7573, 689, 6071, 4313, 1426, 547, 513, 8819, 1258, 13929, 10508, 269, 932, 8270, 14036, 267, 598, 1723, 551, 539, 689, 2666, 2699, 669, 25788, 267, 16693, 267, 4006, 267, 6070, 267, 543, 18654, 10433, 267, 2488, 513, 8126, 344, 4831, 4812, 547, 519, 7646, 10366, 540, 519, 9269, 543, 7573, 269, 11531, 267, 29656, 1295, 1027, 20909, 3597, 6404, 609, 3282, 543, 13386, 14036, 3252, 607, 513, 31370, 18274, 518, 267, 5969, 998, 519, 17381, 540, 519, 824, 2609, 630, 299, 2465, 267, 476, 1001, 275, 6393, 278, 269, 275, 17502, 1470, 4211, 8590, 19043, 692, 19741, 922, 2283, 3645, 9029, 267, 670, 664, 534, 3150, 9269, 7573, 11438, 7096, 12572, 2597, 1369, 14570, 1014, 2486, 269, 1306, 513, 30883, 24207, 8265, 1426, 6221, 267, 621, 24151, 519, 6891, 540, 18497, 18226, 543, 3838, 7071, 585, 11477, 26274, 269, 5015, 267, 922, 4720, 689, 18803, 20297, 547, 3486, 6284, 19141, 17111, 781, 1378, 18330, 2509, 30222, 543, 2518, 5610, 630, 313, 17924, 267, 476, 1001, 279, 6393, 11101, 267, 519, 8670, 4564, 513, 2890, 6523, 332, 540, 17111, 781, 1950, 1514, 5958, 267, 13296, 1585, 6803, 2516, 30598, 543, 3565, 547, 519, 4182, 781, 2686, 13795, 269, 769, 713, 2543, 267, 670, 664, 534, 3150, 9269, 7573, 6763, 15266, 547, 519, 1379, 540, 12760, 543, 9542, 267, 11744, 875, 19635, 2609, 666, 26595, 547, 1711, 1945, 5963, 11108, 780, 278, 269, 276, 12634, 11154, 725, 543, 19873, 725, 692, 1103, 2221, 781, 11477, 5251, 267, 22730, 16111, 5368, 614, 13133, 5929, 10346, 899, 670, 664, 534, 3150, 9269, 7573, 547, 8597, 547, 9687, 16919, 543, 8192, 7375, 269, 1280, 3236, 267, 17154, 8747, 9001, 2030, 2861, 5946, 543, 10448, 13632, 723, 6591, 20086, 1851, 1072, 23655, 6800, 543, 2825, 15156, 7567, 630, 5938, 334, 267, 476, 1708, 271, 1040, 30027, 3585, 267, 909, 29173, 14906, 1431, 6220, 14167, 5820, 971, 607, 3109, 1854, 742, 956, 610, 9087, 773, 30230, 2992, 4207, 8819, 25348, 781, 4050, 31008, 585, 5647, 543, 17195, 780, 278, 269, 277, 10390, 692, 1607, 3184, 814, 25139, 1585, 3344, 540, 14570, 1014, 670, 664, 534, 3150, 9269, 7573, 267, 17766, 1769, 593, 922, 3140, 8129, 267, 2930, 4170, 267, 543, 1914, 32241, 4644, 269, 3414, 2502, 609, 713, 11599, 8670, 267, 649, 2744, 3407, 4030, 883, 519, 6422, 2470, 540, 11477, 2853, 543, 741, 7915, 4390, 585, 7004, 269, 11086, 267, 938, 3408, 19156, 519, 2956, 540, 8497, 2757, 1702, 1247, 6967, 1930, 547, 3209, 12496, 543, 14624, 1107, 3741, 602, 13469, 7184, 1369, 1312, 519, 7706, 540, 1426, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 1180, 619, 540, 645, 11448, 334, 267, 17111, 25676, 11872, 454, 8702, 547, 513, 7415, 476, 279, 6377, 7045, 602, 3217, 596, 593, 513, 9159, 3460, 998, 519, 2295, 540, 645, 11448, 334, 543, 17111, 269, 901, 9058, 27356, 8124, 14767, 513, 1623, 21620, 540, 2067, 13300, 267, 16678, 7320, 13341, 267, 543, 15138, 2686, 2833, 602, 786, 4734, 596, 11963, 20129, 269, 3776, 23939, 18705, 621, 10719, 776, 20217, 596, 547, 2263, 519, 7524, 2749, 540, 918, 7974, 20943, 629, 2728, 267, 14679, 883, 519, 3552, 338, 540, 9995, 31703, 267, 6330, 519, 28677, 20943, 629, 520, 22462, 5211, 267, 543, 1666, 330, 538, 519, 29814, 5898, 540, 590, 9934, 534, 6816, 269, 3962, 10278, 3091, 513, 2189, 25246, 540, 713, 15999, 3148, 267, 1141, 18932, 31140, 267, 20842, 675, 7297, 267, 543, 6805, 4529, 27721, 563, 7093, 6768, 547, 581, 1303, 337, 2331, 676, 519, 30811, 8916, 267, 7320, 11656, 795, 2426, 956, 267, 543, 519, 3636, 24756, 540, 519, 2199, 2950, 269, 6787, 596, 2461, 606, 7045, 337, 267, 513, 2470, 27423, 267, 610, 513, 2686, 24413, 267, 713, 476, 279, 6377, 4663, 609, 13488, 13185, 14767, 606, 5044, 540, 2238, 543, 2833, 602, 786, 23365, 596, 538, 555, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 7489, 1315, 14570, 1014, 670, 664, 534, 3150, 26560, 19676, 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, 3848, 476, 278, 281, 3690, 716, 1308, 26671, 910, 667, 1516, 883, 519, 2622, 540, 10753, 534, 543, 8232, 13531, 906, 692, 1103, 519, 7706, 540, 3656, 1603, 543, 8852, 267, 10211, 543, 3354, 11650, 3180, 513, 1713, 1747, 269, 1452, 6054, 616, 2629, 950, 621, 2501, 547, 14104, 12417, 1063, 4213, 543, 32225, 269, 769, 713, 3184, 267, 649, 786, 5490, 2620, 883, 519, 1158, 540, 6223, 1308, 6054, 676, 26819, 532, 513, 10211, 543, 3354, 6876, 269, 3414, 713, 2079, 267, 596, 3513, 2744, 4030, 883, 1898, 2609, 971, 607, 8847, 267, 11269, 267, 15549, 625, 267, 524, 8576, 1218, 267, 2175, 30675, 267, 2621, 540, 9949, 267, 543, 811, 269, 1284, 3513, 849, 1865, 875, 891, 3334, 960, 29050, 547, 3715, 513, 4396, 5748, 585, 3811, 2883, 8852, 780, 1262, 4089, 476, 272, 281, 4197, 519, 17943, 1107, 13317, 1242, 16301, 543, 26479, 4373, 6524, 11362, 2212, 14140, 883, 519, 14960, 540, 513, 10211, 543, 3354, 6876, 267, 1577, 721, 1101, 2263, 922, 13654, 2679, 7161, 1765, 5115, 1388, 1242, 2474, 543, 741, 8847, 269, 589, 1134, 1673, 2761, 539, 3561, 5956, 676, 4259, 856, 2312, 543, 13801, 8847, 602, 4019, 9846, 2429, 519, 6876, 269, 901, 5849, 9355, 543, 24024, 13509, 1282, 7664, 543, 11056, 269, 1306, 2938, 538, 938, 1349, 267, 519, 2165, 1412, 22479, 1388, 1242, 2474, 711, 6382, 3989, 538, 713, 15716, 4927, 723, 519, 10096, 1305, 8521, 538, 8791, 476, 1691, 262, 8711, 519, 4644, 540, 10747, 1883, 16166, 1031, 1369, 519, 6876, 780, 2690, 1383, 267, 538, 938, 21626, 267, 1896, 3854, 1242, 2474, 899, 1412, 299, 15351, 10086, 1412, 289, 6563, 518, 10086, 1412, 299, 2658, 10086, 1412, 20376, 12053, 9314, 10086, 543, 1866, 2154, 5730, 4214, 269, 1635, 3257, 865, 267, 1312, 6105, 666, 581, 8746, 789, 2671, 513, 1455, 1620, 540, 2565, 3344, 12044, 519, 2078, 269, 898, 568, 4502, 15663, 602, 9591, 24080, 7608, 8847, 949, 3006, 6961, 4101, 1813, 547, 2872, 16082, 282, 4061, 267, 22111, 1145, 693, 713, 3942, 5036, 519, 3159, 585, 519, 30810, 540, 519, 6876, 780, 1262, 4089, 476, 273, 281, 11724, 725, 543, 654, 1551, 656, 625, 1107, 700, 11691, 13560, 519, 16140, 16390, 4373, 11847, 6974, 725, 543, 15549, 625, 4196, 607, 519, 2666, 3652, 2390, 799, 16395, 1491, 1747, 269, 1358, 7291, 4909, 5013, 827, 1142, 5428, 3238, 267, 1519, 519, 14496, 540, 10024, 883, 519, 6876, 267, 6392, 547, 798, 865, 267, 9000, 540, 7526, 267, 10220, 609, 4031, 267, 6111, 540, 1344, 3177, 267, 3092, 269, 5637, 10210, 619, 543, 32225, 1590, 1683, 4977, 543, 5168, 995, 6898, 3823, 891, 6927, 269, 9701, 1022, 3765, 10517, 19948, 2049, 267, 621, 1223, 1291, 547, 4049, 4539, 267, 1519, 4579, 23563, 267, 25036, 267, 610, 1256, 7803, 20507, 780, 5978, 3732, 6876, 2882, 8100, 547, 1065, 338, 543, 15549, 625, 896, 590, 30708, 476, 275, 998, 476, 277, 269, 2755, 1346, 6810, 5749, 1405, 12799, 5018, 1934, 267, 789, 1106, 606, 7533, 2460, 540, 519, 2949, 5943, 269, 1879, 17265, 6041, 543, 15549, 344, 21291, 267, 2628, 2673, 3007, 547, 1893, 6964, 543, 2327, 12972, 609, 707, 7817, 781, 4690, 1247, 4509, 14619, 2509, 13413, 780, 1262, 4089, 476, 274, 281, 595, 8576, 1218, 1107, 8871, 2478, 17214, 9737, 3487, 625, 4373, 290, 8576, 1218, 2099, 14767, 1500, 676, 2901, 5428, 1282, 519, 26022, 540, 519, 6876, 269, 10500, 3305, 894, 524, 8576, 1218, 8078, 324, 519, 7963, 528, 547, 22738, 1808, 3527, 267, 6466, 2942, 524, 8576, 1218, 6615, 1978, 5615, 269, 5871, 31077, 524, 8576, 1218, 4125, 3246, 2834, 2883, 5359, 267, 4509, 7850, 6142, 3382, 1137, 267, 9878, 9204, 16425, 267, 610, 16180, 9138, 10512, 4170, 269, 2201, 519, 16212, 2427, 267, 6093, 2942, 524, 8576, 1218, 1522, 10238, 527, 2870, 3606, 15073, 839, 267, 1818, 1804, 4203, 29792, 267, 9878, 27993, 267, 610, 2502, 538, 19408, 2238, 1510, 1991, 9844, 780, 1103, 938, 6256, 267, 8791, 476, 280, 18953, 2390, 930, 524, 8576, 1218, 7282, 8989, 13800, 543, 9993, 593, 22151, 7221, 1510, 1991, 13170, 269, 22367, 6362, 513, 3666, 1063, 7863, 3841, 3218, 2924, 543, 7175, 1870, 4238, 19329, 6297, 7156, 543, 19908, 1472, 26315, 26004, 780, 1262, 4089, 476, 275, 281, 17148, 2776, 1027, 550, 1107, 2776, 7528, 28987, 6969, 1849, 3151, 4373, 30812, 1431, 30675, 13822, 23944, 28987, 602, 991, 17598, 1354, 14656, 513, 4308, 269, 6270, 23616, 2827, 3335, 31721, 1472, 9431, 1237, 10094, 267, 12032, 540, 1813, 31806, 3157, 267, 9547, 540, 14222, 2175, 267, 610, 13844, 2556, 12319, 269, 674, 9430, 547, 2743, 891, 7355, 2636, 2901, 5428, 547, 3802, 2476, 689, 519, 11834, 1085, 582, 6954, 780, 7212, 711, 4481, 5018, 538, 938, 21626, 267, 2175, 30675, 1404, 513, 11358, 1909, 538, 4180, 5347, 19479, 540, 9388, 269, 7743, 8446, 543, 6571, 540, 533, 2056, 2152, 20928, 519, 3803, 1436, 1184, 543, 2569, 1761, 2022, 12641, 3151, 13882, 780, 1262, 4089, 476, 276, 281, 15638, 540, 4347, 5435, 1107, 17832, 7970, 585, 12910, 1588, 4373, 18128, 757, 540, 9949, 24901, 12153, 3056, 547, 7525, 26694, 540, 519, 6876, 269, 6201, 1419, 7854, 8569, 9949, 338, 267, 28153, 2083, 902, 267, 1570, 8801, 2242, 7133, 519, 10210, 518, 781, 2702, 547, 1685, 896, 519, 6876, 267, 21556, 540, 524, 8576, 1218, 267, 610, 7301, 11269, 269, 16270, 12136, 540, 606, 2680, 540, 9949, 267, 32225, 10536, 8476, 2924, 267, 5732, 28285, 538, 10231, 540, 11033, 610, 22612, 540, 3656, 18659, 1996, 1219, 4954, 1562, 780, 308, 2955, 2406, 267, 13167, 7347, 2943, 12581, 14074, 5466, 2621, 540, 9949, 7569, 7580, 3206, 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 ]
[ 269, 901, 10522, 602, 519, 1655, 1259, 547, 798, 15997, 568, 849, 23651, 267, 1775, 4318, 1421, 593, 513, 12931, 20325, 7711, 346, 3667, 834, 306, 315, 283, 317, 529, 889, 285, 272, 282, 590, 315, 283, 317, 529, 889, 285, 273, 257, 9574, 596, 1101, 3136, 519, 6169, 585, 7711, 346, 3667, 834, 306, 315, 283, 317, 529, 889, 285, 273, 257, 9574, 3976, 8216, 11868, 519, 13591, 25195, 267, 543, 1287, 798, 519, 6169, 585, 7711, 346, 3667, 834, 306, 315, 283, 317, 529, 889, 285, 272, 257, 20467, 1717, 267, 519, 1101, 23350, 540, 519, 7711, 346, 3667, 834, 306, 655, 328, 257, 18511, 22364, 568, 827, 7711, 346, 3667, 834, 306, 315, 283, 317, 529, 889, 285, 272, 257, 20467, 9747, 267, 596, 949, 1616, 547, 946, 519, 7711, 346, 3667, 834, 8527, 730, 257, 18511, 3430, 25572, 267, 602, 29226, 519, 22402, 540, 513, 19790, 2742, 281, 2608, 348, 19790, 5733, 12054, 328, 10734, 23424, 815, 12054, 328, 314, 8527, 730, 316, 30916, 283, 265, 264, 19790, 2742, 27719, 11513, 338, 269, 476, 271, 1422, 521, 15234, 344, 5257, 348, 631, 8085, 11513, 338, 269, 521, 15234, 345, 5257, 815, 521, 15234, 343, 5257, 2608, 521, 15234, 344, 5257, 348, 257, 11200, 532, 631, 8085, 318, 3698, 4019, 630, 22364, 12054, 328, 10734, 23424, 264, 4019, 630, 22364, 2755, 262, 314, 3602, 623, 6889, 315, 338, 269, 521, 15234, 345, 5257, 815, 521, 15234, 343, 5257, 2608, 521, 15234, 322, 5257, 1422, 521, 15234, 322, 5257, 1422, 521, 15234, 344, 5257, 257, 8079, 4019, 1138, 335, 4019, 630, 22364, 12054, 328, 10734, 23424, 264, 4019, 630, 22364, 25849, 264, 4019, 630, 22364, 25849, 10807, 4019, 630, 338, 11069, 1039, 281, 7223, 5334, 31663, 264, 4019, 1138, 335, 4019, 630, 22364, 12054, 328, 10734, 23424, 264, 4019, 630, 22364, 25849, 264, 4019, 630, 22364, 25849, 10807, 4019, 1138, 335, 2944, 30916, 285, 265, 264, 30916, 283, 265, 264, 30916, 2859, 13128, 6169, 2608, 264, 19790, 2742, 27719, 11513, 338, 269, 476, 271, 1422, 521, 15234, 344, 5257, 348, 631, 8085, 11513, 338, 269, 521, 15234, 345, 5257, 815, 521, 15234, 343, 5257, 2608, 521, 15234, 344, 5257, 348, 257, 11200, 532, 631, 8085, 318, 3698, 676, 630, 22364, 12054, 328, 10734, 23424, 25849, 25849, 262, 1403, 2755, 262, 314, 3602, 623, 6889, 315, 338, 269, 521, 15234, 345, 5257, 815, 521, 15234, 343, 5257, 2608, 521, 15234, 322, 5257, 1422, 521, 15234, 322, 5257, 1422, 521, 15234, 344, 5257, 19312, 1923, 1138, 335, 1039, 281, 7223, 5334, 31663, 11924, 30916, 285, 265, 264, 1257, 2715, 265, 8074, 602, 938, 16551, 1869, 723, 513, 1966, 267, 607, 3292, 616, 4847, 547, 7670, 1679, 17062, 4632, 269, 1280, 1383, 267, 2543, 519, 1739, 630, 342, 3994, 264, 6388, 540, 7711, 346, 3667, 834, 7246, 311, 257, 348, 281, 2608, 348, 4214, 834, 7246, 311, 16062, 3994, 1422, 15234, 320, 5257, 15311, 284, 301, 476, 271, 282, 15234, 321, 5257, 15311, 284, 301, 476, 271, 282, 15234, 322, 5257, 15311, 284, 301, 476, 271, 257, 1257, 2715, 265, 28171, 602, 7711, 346, 3667, 834, 7246, 311, 16062, 3994, 257, 348, 849, 25389, 519, 20487, 585, 7711, 346, 3667, 834, 7246, 311, 257, 348, 281, 2608, 348, 30916, 283, 265, 264, 19790, 2742, 27719, 11513, 338, 269, 6936, 348, 10790, 311, 16062, 3994, 11513, 338, 269, 521, 15234, 322, 5257, 815, 3193, 630, 338, 15234, 320, 5257, 264, 630, 338, 15234, 321, 5257, 14587, 257, 11200, 532, 10790, 311, 16062, 3994, 318, 3698, 676, 630, 22364, 12054, 328, 314, 8527, 730, 316, 25849, 25849, 262, 1403, 1923, 1138, 335, 1039, 281, 7223, 5334, 31663, 11924, 30916, 285, 265, 264, 1257, 2715, 265, 1548, 649, 2731, 1616, 547, 14574, 568, 267, 602, 7711, 346, 3667, 834, 7246, 311, 257, 348, 1939, 525, 519, 5021, 540, 519, 2418, 540, 7711, 346, 3667, 834, 320, 257, 348, 543, 7711, 346, 3667, 834, 321, 257, 348, 538, 519, 3355, 1533, 269, 5047, 267, 649, 949, 2154, 602, 7711, 346, 3667, 834, 320, 257, 348, 543, 7711, 346, 3667, 834, 321, 257, 348, 616, 711, 4957, 269, 1280, 713, 267, 649, 666, 946, 9266, 4632, 538, 519, 20487, 269, 28171, 519, 1739, 811, 4977, 20487, 585, 7711, 346, 3667, 834, 7246, 311, 257, 348, 281, 2608, 348, 19790, 2742, 27719, 11513, 338, 269, 513, 284, 338, 15234, 320, 5257, 1422, 536, 284, 338, 15234, 321, 5257, 348, 10790, 311, 11513, 338, 269, 521, 15234, 322, 5257, 815, 3193, 513, 536, 1422, 513, 815, 521, 15234, 320, 5257, 1422, 536, 815, 521, 15234, 321, 5257, 348, 257, 30916, 283, 265, 264, 11200, 532, 10790, 311, 318, 3698, 676, 630, 22364, 12054, 328, 314, 8527, 730, 316, 25849, 25849, 262, 1403, 1923, 1138, 335, 1039, 281, 7223, 5334, 31663, 11924, 30916, 285, 265, 264, 1257, 2715, 265, 634, 20487, 585, 7711, 346, 3667, 834, 300, 8085, 257, 348, 814, 519, 1482, 1966, 269, 674, 1460, 621, 256, 2608, 348, 30916, 283, 265, 264, 4214, 834, 300, 8085, 16062, 3994, 1422, 15234, 345, 5257, 15311, 284, 301, 476, 271, 282, 15234, 343, 5257, 15311, 284, 301, 476, 271, 257, 19790, 2742, 27719, 11513, 338, 269, 476, 271, 1422, 521, 15234, 344, 5257, 348, 631, 8085, 16062, 3994, 11513, 338, 269, 521, 15234, 345, 5257, 815, 521, 15234, 343, 5257, 2608, 521, 15234, 344, 5257, 348, 257, 11200, 532, 631, 8085, 16062, 3994, 318, 3698, 676, 630, 22364, 12054, 328, 10734, 23424, 25849, 25849, 262, 1403, 1923, 1138, 335, 1039, 281, 7223, 5334, 31663, 11924, 19790, 2742, 27719, 11513, 338, 269, 476, 271, 1422, 521, 15234, 344, 5257, 1422, 1535, 815, 521, 15234, 343, 5257, 1422, 586, 815, 521, 15234, 344, 5257, 348, 631, 8085, 11513, 338, 269, 521, 15234, 345, 5257, 815, 1535, 265, 344, 1422, 1535, 815, 521, 15234, 343, 5257, 1422, 586, 815, 521, 15234, 344, 5257, 348, 257, 11200, 532, 631, 8085, 318, 3698, 676, 630, 22364, 12054, 328, 10734, 23424, 25849, 25849, 262, 1403, 2755, 262, 314, 3602, 623, 6889, 315, 338, 269, 521, 15234, 345, 5257, 815, 1535, 2608, 521, 15234, 322, 5257, 1422, 521, 15234, 322, 5257, 1422, 586, 1422, 1535, 815, 521, 15234, 343, 5257, 1422, 586, 815, 521, 15234, 344, 5257, 834, 316, 1923, 1138, 335, 1039, 281, 7223, 5334, 31663, 11924, 30916, 285, 265, 264, 30916, 283, 265, 264, 1439, 30916, 285, 265, 264, 0, 11795, 2397, 9737, 3798, 11276, 7351, 543, 1473, 340, 1027, 7351, 692, 14611, 16338, 1107, 3798, 11276, 7351, 5288, 269, 1473, 340, 1027, 7351, 692, 292, 9536, 344, 1699, 543, 13251, 1699, 3277, 547, 14768, 602, 1106, 593, 513, 18364, 607, 513, 1267, 540, 513, 4657, 6419, 2361, 2066, 621, 269, 634, 1292, 3017, 1063, 1196, 11276, 1699, 543, 13251, 1699, 568, 602, 13251, 1699, 4016, 547, 476, 1109, 9690, 338, 13576, 538, 27810, 540, 5911, 538, 513, 6806, 5547, 6466, 1196, 11276, 1699, 4016, 547, 17787, 540, 14768, 13576, 1369, 4773, 540, 3677, 26423, 1813, 547, 13590, 15632, 780, 1432, 568, 1473, 340, 1027, 7351, 692, 6097, 547, 10787, 611, 599, 779, 4521, 267, 8164, 519, 6419, 13441, 998, 513, 18364, 2242, 267, 606, 15444, 293, 568, 13251, 538, 519, 18364, 269, 4340, 547, 700, 20044, 779, 4521, 267, 519, 1109, 323, 3925, 540, 519, 13251, 900, 325, 1727, 4680, 519, 1689, 538, 6419, 13441, 602, 3123, 621, 269, 1403, 519, 6419, 13441, 568, 2016, 676, 1109, 7445, 4942, 328, 8961, 1287, 267, 2687, 547, 10787, 611, 599, 779, 4521, 519, 15444, 293, 13251, 1109, 259, 292, 259, 568, 2016, 676, 692, 259, 292, 284, 10559, 2765, 3189, 9507, 546, 315, 4942, 328, 7346, 9507, 24303, 10592, 763, 13251, 15444, 293, 568, 3160, 547, 519, 2557, 540, 1689, 540, 6419, 13441, 269, 634, 2942, 1129, 538, 519, 4542, 3274, 6920, 602, 713, 15444, 293, 1727, 4680, 519, 1689, 538, 13441, 602, 3361, 621, 269, 901, 568, 519, 7271, 602, 7472, 1312, 865, 10777, 1109, 8114, 1027, 14768, 543, 1109, 539, 11276, 14768, 538, 26423, 269, 1924, 538, 713, 2631, 267, 789, 616, 1312, 968, 8114, 1027, 892, 14768, 269, 1717, 267, 519, 16166, 568, 1419, 1031, 547, 16174, 1063, 3730, 1699, 6383, 538, 513, 16509, 630, 10472, 568, 1572, 519, 13251, 1699, 264, 543, 519, 1699, 6383, 538, 3677, 8407, 971, 607, 538, 519, 968, 14537, 892, 540, 606, 30402, 24599, 270, 1560, 540, 513, 4496, 630, 10472, 568, 1572, 1196, 11276, 1699, 1040, 1280, 1383, 267, 649, 786, 1413, 693, 519, 3017, 1063, 1196, 11276, 1699, 543, 13251, 1699, 538, 513, 22155, 780, 763, 3239, 2630, 2982, 513, 22155, 269, 476, 1109, 763, 16509, 593, 519, 2451, 568, 3177, 609, 606, 20367, 1699, 269, 634, 1699, 7472, 513, 6419, 2361, 3330, 519, 16509, 267, 543, 2094, 519, 1699, 568, 7683, 10941, 532, 4287, 267, 519, 6419, 13441, 3330, 519, 16509, 568, 2141, 4657, 607, 1134, 269, 634, 968, 10520, 845, 518, 4295, 892, 568, 513, 18364, 4171, 1599, 568, 547, 2932, 519, 1109, 332, 8568, 2361, 547, 519, 16509, 593, 519, 1318, 269, 634, 4295, 568, 711, 2047, 4448, 547, 519, 1379, 3761, 269, 1703, 568, 513, 1689, 538, 6419, 13441, 2066, 713, 16509, 543, 267, 2687, 547, 10787, 611, 599, 779, 4521, 267, 513, 1699, 4991, 13251, 538, 713, 16509, 607, 1134, 269, 1284, 666, 1921, 713, 1699, 547, 513, 5547, 543, 946, 713, 1699, 547, 798, 960, 269, 898, 568, 713, 1699, 267, 602, 4991, 13251, 538, 519, 2034, 16509, 267, 602, 568, 1572, 519, 968, 8114, 1027, 1699, 892, 780, 288, 22155, 692, 9616, 602, 972, 568, 513, 1689, 538, 6419, 13441, 998, 519, 22155, 4295, 607, 1134, 269, 4595, 519, 4295, 568, 1500, 540, 513, 18364, 267, 513, 1699, 4991, 13251, 538, 519, 4295, 607, 1134, 269, 901, 1699, 8928, 538, 968, 5979, 3591, 892, 607, 3254, 2630, 267, 543, 865, 789, 616, 3957, 968, 539, 11276, 14768, 6100, 1284, 3112, 1118, 946, 540, 713, 1699, 267, 543, 713, 1699, 3217, 2476, 930, 540, 519, 1648, 689, 519, 3312, 1699, 543, 26632, 919, 602, 1648, 538, 519, 1106, 540, 3002, 269, 4475, 267, 22155, 23780, 616, 2356, 968, 331, 3133, 730, 2108, 1765, 328, 4318, 269, 3296, 539, 1055, 676, 4946, 6106, 540, 1202, 22399, 24568, 1931, 547, 2569, 519, 1196, 11276, 14768, 269, 901, 568, 849, 3254, 593, 519, 3239, 2630, 1384, 292, 9536, 344, 14768, 13576, 538, 519, 4295, 630, 9008, 264, 543, 875, 561, 8727, 9673, 1206, 519, 2095, 540, 1196, 11276, 14768, 630, 321, 18847, 6393, 1432, 568, 3798, 11276, 7351, 692, 2026, 5018, 1354, 267, 1196, 11276, 14768, 3277, 547, 17787, 540, 14768, 13251, 1369, 519, 4703, 540, 1804, 26423, 269, 769, 519, 1383, 540, 513, 22155, 267, 1196, 11276, 14768, 26632, 622, 1648, 538, 519, 1106, 540, 3002, 865, 789, 616, 24379, 269, 1717, 267, 972, 616, 1109, 338, 15856, 725, 1141, 1196, 11276, 14768, 616, 3730, 607, 1134, 269, 1284, 786, 1413, 693, 513, 1906, 1806, 540, 1196, 11276, 1699, 779, 946, 2630, 780, 300, 13926, 22572, 281, 769, 4496, 22572, 267, 606, 20367, 1699, 13576, 538, 513, 16509, 538, 519, 18785, 7472, 513, 6419, 2361, 609, 513, 4657, 6419, 13441, 269, 1403, 519, 4496, 18785, 568, 554, 2642, 936, 513, 4062, 540, 4496, 267, 1196, 11276, 14768, 1376, 13576, 538, 519, 4496, 269, 1452, 1196, 11276, 14768, 1711, 513, 6419, 2361, 540, 741, 1378, 267, 543, 519, 4496, 18785, 666, 3713, 1109, 10472, 6419, 2361, 780, 288, 1268, 1210, 513, 4496, 18785, 538, 1931, 547, 3713, 4496, 3615, 12617, 693, 519, 11824, 780, 5715, 25934, 28909, 281, 3798, 11276, 14768, 666, 26632, 622, 1648, 538, 519, 1106, 540, 3002, 269, 769, 15632, 28909, 267, 519, 1648, 26632, 730, 568, 1031, 547, 3002, 909, 6878, 269, 1473, 25934, 3434, 619, 849, 946, 519, 342, 1482, 6240, 269, 634, 3381, 2630, 2982, 875, 606, 15632, 22865, 568, 1031, 547, 3002, 513, 3046, 540, 4401, 1384, 11795, 2397, 9737, 3798, 11276, 1699, 543, 1473, 340, 1027, 7351, 692, 14240, 1384, 292, 9536, 344, 14768, 3277, 547, 17787, 14768, 13251, 1369, 1804, 4703, 540, 26423, 267, 607, 513, 1267, 540, 513, 4657, 6419, 2361, 2066, 621, 780, 5715, 340, 1027, 14768, 3335, 3277, 547, 14768, 13251, 538, 27810, 4448, 547, 513, 6806, 5547, 780, 8196, 6888, 1384, 5715, 340, 1027, 14768, 616, 3730, 538, 2981, 619, 780, 292, 9536, 344, 14768, 616, 24379, 607, 789, 26632, 622, 1648, 538, 519, 1106, 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 ]
[ 547, 519, 5982, 2604, 2404, 609, 519, 3002, 540, 922, 12900, 269, 3245, 713, 1448, 593, 519, 6991, 540, 519, 19432, 786, 3500, 1813, 547, 519, 5982, 2604, 543, 581, 9738, 676, 519, 11610, 2404, 609, 519, 6967, 2527, 5057, 540, 519, 7122, 563, 4913, 267, 1310, 513, 1978, 1448, 538, 942, 519, 3002, 543, 5982, 2604, 6383, 676, 922, 19432, 786, 1831, 1390, 2614, 547, 9357, 1125, 519, 6967, 2527, 543, 2014, 621, 547, 556, 10339, 663, 1317, 519, 27763, 4229, 2404, 609, 519, 5982, 2604, 786, 9765, 519, 4579, 633, 4229, 2404, 609, 922, 2527, 563, 1607, 786, 1267, 538, 519, 7122, 10024, 606, 27763, 5123, 543, 2469, 998, 1776, 2085, 540, 21921, 1588, 950, 519, 13371, 4282, 5982, 729, 19501, 269, 634, 2601, 621, 786, 1995, 606, 2085, 540, 21921, 1588, 607, 621, 10596, 998, 1142, 4783, 568, 1317, 519, 3002, 540, 922, 12900, 1131, 581, 1390, 2614, 547, 4625, 9357, 1125, 782, 3029, 540, 2339, 563, 4913, 267, 693, 930, 1448, 538, 942, 519, 19432, 5123, 786, 2253, 1586, 1317, 607, 5018, 4505, 922, 15452, 1648, 3112, 9765, 519, 14965, 1648, 2404, 609, 519, 2698, 2527, 19841, 1458, 538, 519, 7122, 563, 7712, 519, 7122, 568, 513, 6806, 1062, 267, 519, 17931, 540, 519, 20073, 687, 543, 27373, 786, 20847, 543, 24644, 693, 513, 1808, 1871, 7222, 547, 922, 22298, 4908, 2147, 547, 875, 513, 13176, 5569, 20847, 543, 24644, 693, 621, 779, 22298, 4908, 454, 1607, 2164, 538, 519, 7122, 7680, 538, 513, 2760, 268, 2056, 4783, 540, 20073, 687, 543, 27373, 4171, 4908, 1131, 581, 3989, 676, 922, 22298, 3601, 563, 6624, 14421, 5505, 798, 711, 3398, 713, 7814, 673, 9183, 540, 7269, 543, 27373, 1317, 789, 3494, 513, 2458, 2355, 532, 7122, 1131, 1439, 538, 519, 5250, 540, 513, 13737, 640, 2147, 547, 519, 3283, 1336, 538, 513, 3109, 8559, 543, 4061, 267, 621, 1223, 711, 556, 7721, 335, 663, 563, 4913, 267, 2687, 547, 519, 1101, 1876, 540, 5687, 17871, 519, 7122, 1131, 723, 547, 2253, 9750, 1354, 621, 6603, 513, 13737, 640, 1317, 602, 1876, 2829, 602, 1648, 538, 606, 9678, 1062, 666, 9444, 581, 2813, 6862, 10032, 454, 11997, 1317, 519, 7122, 568, 676, 4214, 606, 9678, 1062, 282, 519, 1648, 6383, 676, 922, 14965, 12900, 3112, 581, 2234, 7007, 547, 1776, 4320, 855, 1590, 2611, 1369, 621, 269, 901, 1797, 519, 5982, 2604, 25116, 676, 922, 12900, 1590, 5555, 9765, 11610, 540, 922, 19432, 543, 519, 7122, 1131, 723, 547, 4283, 606, 7269, 5123, 1317, 922, 11610, 786, 4163, 621, 3564, 519, 11466, 1448, 941, 519, 5982, 2604, 568, 3152, 602, 519, 11610, 540, 922, 2527, 563, 1607, 1131, 581, 26922, 547, 519, 875, 11610, 540, 513, 2527, 593, 513, 5614, 3123, 621, 547, 12701, 3564, 922, 11466, 1448, 4611, 621, 15259, 1529, 908, 1472, 621, 563, 2467, 666, 581, 1100, 824, 7664, 952, 835, 17648, 519, 14496, 540, 519, 1101, 1876, 540, 32721, 799, 2829, 602, 519, 2698, 1648, 568, 513, 6806, 1062, 568, 3989, 922, 2527, 543, 519, 11610, 540, 922, 3334, 269, 4475, 267, 950, 835, 11081, 519, 824, 1590, 2333, 543, 4061, 621, 1590, 14251, 622, 1472, 513, 1448, 538, 2230, 543, 942, 563, 763, 2601, 513, 13737, 640, 666, 1106, 538, 3109, 8559, 568, 1317, 621, 568, 711, 606, 20586, 1062, 4061, 519, 8143, 5982, 2404, 609, 922, 12900, 666, 581, 2234, 7007, 883, 519, 4478, 2230, 269, 4475, 267, 922, 12900, 666, 3136, 1317, 11610, 540, 922, 2527, 666, 9765, 519, 5982, 2604, 2014, 676, 922, 12900, 538, 519, 4320, 4478, 513, 3109, 8559, 563, 2252, 713, 7811, 2203, 568, 4570, 519, 3002, 6383, 676, 519, 12900, 540, 519, 7122, 1590, 6318, 519, 2837, 547, 513, 1448, 1141, 621, 1648, 8276, 817, 1131, 1831, 9357, 1242, 883, 741, 5057, 2694, 7551, 1818, 519, 7122, 32630, 547, 5982, 269, 898, 1131, 2611, 602, 1259, 2394, 621, 9411, 519, 7269, 5123, 543, 22799, 2614, 547, 1450, 873, 1831, 632, 542, 1242, 269, 901, 6520, 540, 1234, 18474, 1588, 267, 607, 14421, 5505, 899, 547, 1289, 621, 568, 519, 1757, 1275, 540, 519, 15328, 6193, 17461, 24658, 563, 2026, 5018, 4505, 519, 4908, 540, 519, 20073, 687, 543, 27373, 540, 782, 22298, 1949, 568, 3989, 676, 741, 22298, 3601, 563, 20118, 519, 22298, 2497, 2813, 676, 519, 4579, 633, 3601, 540, 7122, 779, 14965, 1761, 543, 519, 15452, 1648, 540, 922, 7269, 786, 849, 723, 513, 2067, 4908, 799, 1131, 581, 3313, 676, 22298, 3601, 269, 6145, 782, 22298, 3889, 1022, 12451, 602, 798, 711, 5330, 547, 602, 1871, 786, 581, 22887, 18050, 563, 11997, 519, 1871, 540, 519, 14421, 11043, 3586, 799, 1131, 5581, 519, 2557, 610, 4908, 693, 799, 519, 7122, 568, 9750, 610, 24931, 1131, 581, 5462, 676, 519, 22298, 3601, 540, 1648, 8276, 817, 5581, 676, 18160, 563, 1103, 824, 1913, 519, 1871, 540, 922, 14421, 1670, 3586, 949, 711, 581, 14477, 6074, 855, 1131, 581, 3989, 676, 519, 2168, 2078, 1063, 2527, 543, 15452, 1648, 3989, 676, 18160, 563, 1607, 1797, 835, 1223, 4603, 958, 22945, 543, 713, 9183, 676, 1210, 18160, 4834, 547, 3313, 519, 1871, 540, 519, 14421, 1108, 3586, 1759, 593, 602, 2078, 543, 1294, 952, 621, 23216, 609, 922, 4767, 1871, 563, 1103, 824, 1913, 621, 568, 711, 2556, 547, 8263, 519, 6228, 540, 2789, 5203, 525, 547, 1174, 1946, 4909, 2168, 21635, 9114, 1369, 513, 1360, 7522, 2039, 602, 2636, 1272, 547, 1020, 1317, 741, 2418, 949, 711, 581, 4351, 6074, 855, 616, 840, 867, 7134, 547, 723, 873, 676, 513, 2168, 3959, 540, 1648, 543, 2527, 11225, 676, 18160, 563, 2026, 5018, 4505, 1082, 31379, 540, 519, 5564, 5744, 5829, 3137, 8044, 602, 972, 568, 1100, 2963, 610, 1022, 1259, 540, 2357, 4328, 610, 535, 1023, 4328, 519, 6228, 540, 824, 5203, 525, 563, 4913, 649, 666, 7747, 543, 13182, 519, 6228, 540, 519, 22298, 3601, 540, 1648, 543, 2527, 543, 952, 1616, 649, 723, 1767, 1657, 568, 3020, 602, 2418, 782, 540, 519, 4909, 21635, 538, 6323, 616, 1644, 547, 1346, 22298, 3601, 873, 621, 1131, 581, 535, 1023, 1881, 952, 621, 729, 1336, 602, 519, 1871, 540, 1256, 835, 540, 873, 1223, 711, 581, 6508, 1210, 602, 1523, 563, 15648, 11518, 9445, 744, 685, 24445, 698, 7315, 476, 1001, 275, 454, 6624, 21575, 8263, 519, 4937, 7869, 540, 4039, 18356, 25221, 602, 782, 519, 2527, 538, 513, 3109, 8559, 568, 13671, 693, 922, 4099, 538, 513, 13737, 640, 610, 513, 1448, 799, 814, 4642, 4320, 543, 12808, 5860, 454, 4913, 519, 2856, 621, 666, 581, 13671, 538, 513, 1875, 8820, 1448, 540, 12808, 5860, 609, 4642, 4320, 568, 513, 3787, 2182, 547, 9787, 1256, 585, 18160, 4171, 3069, 568, 1031, 547, 3589, 741, 6228, 563, 1432, 2306, 621, 1256, 811, 29737, 568, 602, 3744, 2995, 721, 519, 4031, 540, 6323, 799, 789, 946, 547, 3589, 922, 6228, 2736, 1524, 693, 513, 13737, 640, 563, 3963, 1287, 798, 1082, 3494, 602, 789, 2291, 888, 763, 2601, 568, 1317, 1082, 3494, 519, 6128, 540, 519, 4937, 7869, 540, 4039, 18356, 6645, 721, 602, 950, 5182, 6238, 547, 12900, 1310, 8781, 909, 922, 6046, 4492, 543, 3029, 513, 3109, 8559, 519, 14965, 4229, 540, 922, 2527, 1831, 1804, 2614, 547, 2014, 2339, 547, 12900, 547, 4642, 4320, 563, 4913, 1256, 1498, 972, 568, 22423, 2963, 585, 519, 6228, 540, 3109, 9475, 972, 2760, 786, 581, 1022, 585, 519, 13737, 640, 1317, 2687, 547, 519, 4937, 7869, 540, 4039, 18356, 4986, 267, 1519, 1769, 666, 9101, 1106, 835, 563, 2690, 1383, 8331, 779, 16735, 7632, 924, 6645, 721, 602, 968, 22349, 1258, 12002, 723, 1336, 20310, 2963, 585, 513, 3109, 8559, 538, 519, 4099, 540, 938, 1378, 27305, 10158, 14925, 267, 519, 14925, 15726, 290, 476, 28883, 279, 267, 519, 9649, 14248, 18967, 673, 14925, 631, 9262, 267, 543, 1896, 1866, 269, 12207, 20240, 922, 6228, 676, 4974, 519, 3432, 540, 519, 12269, 540, 3154, 28835, 1346, 4525, 269, 769, 476, 1960, 275, 267, 26931, 6611, 23571, 1239, 6027, 519, 2527, 540, 606, 31305, 1843, 693, 519, 4099, 540, 631, 9262, 269, 9122, 593, 519, 5163, 540, 519, 1570, 627, 26325, 827, 519, 4099, 267, 519, 1843, 568, 6059, 547, 581, 827, 476, 274, 5479, 2053, 519, 2527, 540, 938, 6129, 543, 5526, 547, 581, 13671, 883, 513, 2230, 4130, 982, 938, 3859, 1062, 3034, 4913, 607, 5018, 4505, 649, 786, 2760, 581, 2111, 547, 7747, 513, 13737, 640, 1317, 789, 1152, 2291, 3330, 3109, 8559, 269, 4475, 547, 3313, 922, 4641, 649, 1590, 7048, 9003, 593, 519, 6310, 11236, 540, 519, 4937, 7869, 540, 4039, 18356, 3823, 741, 5250, 563, 21953, 972, 616, 930, 945, 2161, 602, 519, 6128, 1031, 547, 3589, 519, 6228, 540, 513, 3109, 8559, 849, 25221, 267, 609, 3160, 22979, 519, 6228, 540, 13737, 885, 269, 769, 824, 1913, 676, 2357, 4328, 519, 6228, 540, 3109, 9475, 1498, 7422, 1797, 602, 649, 723, 849, 20240, 519, 6228, 540, 13737, 885, 563, 4913, 713, 1131, 1152, 581, 3020, 952, 519, 6128, 1031, 547, 3589, 1312, 513, 3109, 8559, 543, 513, 13737, 640, 14883, 547, 519, 12497, 7440, 2404, 609, 18160, 4937, 7869, 540, 4039, 18356, 1317, 519, 6128, 1031, 547, 6166, 922, 6228, 568, 1759, 9003, 593, 873, 543, 711, 593, 7422, 607, 568, 519, 2013, 540, 3109, 9475, 563, 1103, 824, 1913, 519, 1249, 602, 649, 666, 7747, 513, 3109, 8559, 6645, 721, 519, 6128, 1031, 547, 3589, 922, 6228, 814, 513, 4570, 4493, 538, 2093, 540, 4937, 4039, 18356, 563, 4913, 519, 1482, 3112, 581, 1767, 827, 519, 6228, 540, 513, 13737, 640, 1317, 519, 12497, 7440, 1336, 538, 602, 3069, 6645, 721, 602, 649, 3112, 970, 1905, 25544, 519, 6128, 2404, 609, 621, 547, 519, 5250, 540, 513, 3109, 8559, 563, 2414, 1174, 1946, 649, 1590, 1413, 693, 875, 621, 6257, 1312, 519, 12900, 540, 513, 5182, 547, 513, 3109, 8559, 543, 1287, 1018, 4523, 547, 922, 2527, 1310, 922, 5250, 563, 292, 14852, 538, 1010, 4937, 7869, 540, 4039, 18356, 10567, 942, 568, 8920, 730, 610, 7575, 14887, 950, 6534, 547, 14965, 2361, 982, 950, 621, 568, 711, 269, 4475, 267, 2687, 547, 18160, 779, 3069, 513, 14965, 2361, 267, 952, 2178, 2614, 621, 1131, 3247, 942, 563, 1103, 476, 4489, 276, 267, 298, 22611, 5576, 8705, 345, 338, 18876, 4362, 602, 2687, 547, 621, 519, 14965, 2361, 540, 513, 5182, 3152, 982, 5111, 476, 273, 269, 271, 2053, 513, 3859, 2527, 1131, 3247, 519, 3350, 540, 942, 952, 621, 25540, 547, 513, 13737, 640, 269, 1261, 849, 3989, 519, 2565, 18592, 610, 10465, 538, 2230, 1472, 513, 13737, 640, 1141, 519, 4222, 540, 513, 14965, 2361, 786, 1267, 538, 942, 1373, 28222, 8920, 730, 610, 23646, 547, 513, 3247, 563, 1103, 824, 1913, 607, 513, 5182, 17066, 543, 922, 18592, 11081, 267, 519, 942, 546, 7976, 593, 922, 2627, 786, 2333, 269, 2311, 513, 1978, 1448, 519, 19432, 540, 602, 5182, 786, 3132, 513, 14965, 2361, 2178, 2614, 547, 3247, 519, 3350, 540, 942, 269, 4475, 267, 519, 2565, 18592, 3989, 676, 20913, 5576, 8705, 345, 338, 18876, 568, 513, 10465, 538, 2230, 1141, 942, 13515, 3448, 547, 519, 2230, 3544, 540, 602, 10465, 563, 1607, 2565, 18592, 568, 1572, 519, 2680, 16880, 1317, 606, 2680, 602, 4386, 593, 519, 3330, 540, 621, 3112, 723, 1022, 1198, 593, 519, 1604, 3544, 540, 621, 563, 6624, 21575, 607, 5018, 4505, 3494, 519, 6228, 540, 513, 13737, 640, 568, 606, 17149, 6364, 540, 18160, 779, 4937, 7869, 540, 4039, 18356, 563, 4913, 267, 621, 666, 581, 3254, 1210, 519, 2035, 2919, 676, 18160, 282, 713, 949, 711, 3020, 563, 1103, 918, 760, 590, 269, 774, 11448, 1433, 968, 14937, 670, 3421, 543, 5384, 2782, 1186, 2108, 267, 646, 6257, 875, 538, 519, 5162, 540, 476, 4350, 279, 268, 4375, 7917, 11534, 523, 10773, 543, 19134, 1633, 590, 5500, 1457, 17223, 519, 3877, 540, 513, 6801, 12900, 883, 513, 3109, 8559, 1210, 519, 2035, 540, 4937, 4039, 18356, 269, 2201, 2985, 476, 24241, 646, 6257, 1018, 519, 12900, 540, 513, 5182, 1131, 1413, 899, 267, 1106, 519, 21169, 540, 606, 5007, 20626, 945, 3788, 693, 513, 6378, 18592, 3079, 540, 14964, 27808, 609, 519, 2458, 2355, 532, 6801, 2339, 269, 1358, 7691, 519, 12900, 540, 513, 5182, 607, 2938, 689, 602, 4704, 7406, 1131, 2253, 1175, 519, 1259, 1169, 835, 1131, 2503, 269, 968, 12024, 513, 4224, 12628, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 5197, 267, 4335, 568, 476, 2420, 6398, 476, 7871, 6398, 476, 4572, 269, 4595, 621, 814, 513, 2698, 540, 476, 278, 6305, 2188, 267, 476, 5197, 267, 4335, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 5197, 4335, 692, 3607, 16975, 692, 4634, 16975, 476, 2190, 476, 1321, 476, 279, 476, 275, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 3607, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 275, 1626, 32180, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 20720, 4649, 273, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 12893, 6872, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 275, 2190, 269, 5952, 274, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 1428, 269, 277, 1240, 273, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 5197, 267, 4335, 666, 581, 5258, 676, 476, 3607, 2318, 16975, 630, 719, 540, 799, 476, 2190, 616, 1256, 267, 543, 476, 1321, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 5197, 267, 4335, 264, 568, 476, 275, 1626, 267, 32180, 267, 519, 3328, 568, 476, 1556, 267, 4649, 278, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 5197, 4335, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 6924, 275, 876, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 14378, 876, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 14321, 4343, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 1626, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 6924, 267, 6110, 2318, 9981, 630, 1652, 982, 476, 5197, 267, 4335, 264, 602, 616, 2941, 31870, 609, 476, 5197, 267, 4335, 269, 1656, 972, 616, 5111, 476, 1626, 267, 24783, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 5197, 267, 4335, 780, 1012, 6555, 529, 2225, 540, 476, 5197, 4335, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 273, 476, 271, 476, 271, 476, 273, 476, 276, 476, 275, 476, 276, 692, 763, 1297, 476, 5197, 267, 4335, 568, 16883, 676, 476, 273, 267, 476, 275, 543, 476, 276, 780, 1892, 25226, 454, 1892, 2806, 1495, 656, 692, 1892, 2717, 924, 454, 1892, 19750, 692, 1892, 31456, 454, 1892, 5295, 995, 692, 1892, 674, 2607, 531, 692, 1012, 12476, 7503, 630, 5197, 4335, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 6200, 1911, 1822, 1911, 18089, 1911, 454, 274, 570, 1716, 776, 476, 1911, 18733, 13199, 23713, 454, 275, 2372, 15715, 776, 476, 15996, 18089, 8099, 454, 276, 2372, 2435, 476, 18891, 22430, 876, 454, 277, 7354, 776, 476, 31620, 13670, 273, 454, 279, 4239, 531, 476, 25851, 275, 2190, 454, 1015, 27252, 476, 5197, 4335, 454, 1321, 13660, 1712, 31565, 476, 279, 5952, 6812, 454, 1626, 1261, 343, 1228, 31565, 476, 273, 322, 14625, 454, 736, 966, 580, 525, 2711, 476, 1321, 321, 2004, 454, 3607, 12476, 3607, 476, 274, 341, 280, 342, 692, 1012, 9978, 9273, 630, 333, 815, 476, 5197, 4335, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 3607, 272, 1822, 476, 276, 6078, 4335, 476, 278, 2420, 1822, 476, 3445, 273, 4335, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 3445, 273, 2004, 476, 31430, 5780, 269, 278, 476, 26493, 1839, 476, 3607, 272, 876, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 23283, 26764, 4335, 876, 476, 276, 6434, 5881, 274, 24423, 4335, 1822, 271, 476, 11793, 15704, 29483, 24879, 7742, 1822, 1822, 271, 476, 4489, 276, 4817, 279, 736, 4649, 277, 27005, 7742, 1822, 1822, 1822, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 275, 2190, 269, 5952, 274, 476, 6321, 269, 276, 1691, 275, 476, 736, 269, 277, 1321, 476, 1556, 269, 26562, 278, 692, 1012, 476, 5197, 4335, 607, 12166, 5546, 692, 2162, 17781, 692, 20238, 3780, 815, 562, 454, 18924, 2678, 476, 3607, 272, 1822, 476, 272, 269, 16328, 1556, 324, 266, 6187, 476, 272, 269, 271, 2537, 7918, 324, 266, 1556, 692, 2162, 1975, 1877, 692, 20238, 3780, 815, 562, 454, 11730, 476, 273, 269, 5379, 274, 3953, 324, 266, 1626, 476, 275, 269, 6021, 275, 1428, 324, 266, 1556, 476, 272, 269, 16328, 1556, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 278, 2420, 1822, 476, 274, 269, 28670, 6349, 324, 266, 1015, 476, 14838, 29214, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 4817, 275, 11025, 324, 266, 1556, 476, 276, 269, 279, 3199, 10619, 324, 266, 1428, 476, 24374, 277, 3374, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 276, 6078, 4335, 476, 272, 269, 25148, 6507, 324, 266, 1015, 476, 14444, 28760, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 276, 269, 5038, 274, 6187, 324, 266, 1015, 476, 277, 269, 280, 1789, 7906, 324, 266, 1691, 476, 15704, 274, 4281, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 3583, 273, 22396, 321, 274, 320, 4281, 742, 280, 325, 1626, 9536, 278, 322, 276, 321, 9262, 321, 277, 325, 31172, 278, 321, 905, 2041, 321, 278, 320, 21878, 279, 2568, 324, 736, 324, 274, 320, 4792, 279, 271, 325, 5400, 280, 322, 271, 323, 271, 324, 2041, 4962, 275, 321, 7871, 476, 6434, 272, 10695, 325, 276, 2641, 321, 4206, 5655, 20623, 6434, 277, 8182, 322, 3607, 322, 273, 322, 6277, 12711, 273, 27219, 275, 321, 278, 2041, 274, 1030, 5952, 278, 274, 325, 280, 2801, 5780, 278, 322, 2801, 8287, 320, 15876, 322, 476, 30033, 1691, 322, 2041, 279, 322, 279, 2918, 322, 27698, 276, 2801, 277, 12711, 1839, 321, 323, 25172, 278, 1030, 276, 576, 2764, 323, 2004, 325, 277, 1030, 271, 4375, 279, 323, 277, 539, 272, 325, 277, 321, 4962, 277, 324, 4200, 4206, 26562, 320, 6078, 324, 8064, 273, 24062, 2568, 276, 271, 2767, 7597, 274, 278, 3066, 2918, 324, 28147, 277, 4281, 321, 274, 4200, 278, 323, 611, 325, 10711, 320, 19054, 325, 277, 325, 276, 6277, 17304, 279, 4200, 9536, 546, 279, 764, 279, 323, 1839, 322, 8517, 322, 13069, 280, 322, 9834, 322, 271, 324, 5325, 272, 14378, 26501, 271, 325, 1030, 275, 322, 276, 2764, 0, 11377, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 3686, 9681, 258, 476, 1015, 269, 275, 281, 19693, 3213, 324, 2310, 13067, 15119, 7010, 594, 692, 11377, 14050, 3189, 11355, 338, 22042, 272, 27037, 13569, 564, 2715, 1422, 27771, 5882, 1422, 337, 12915, 17369, 3019, 1575, 348, 11513, 10400, 346, 258, 272, 3686, 476, 6525, 6695, 14050, 3189, 557, 7251, 22042, 272, 27037, 13569, 564, 346, 10559, 256, 10559, 256, 315, 337, 12915, 17369, 3019, 1575, 7346, 341, 28783, 21151, 4153, 8243, 1662, 2715, 258, 272, 3686, 6525, 11377, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 3686, 9681, 11377, 14050, 3189, 2897, 7346, 321, 12127, 330, 760, 315, 327, 22364, 315, 321, 12127, 330, 760, 315, 7224, 785, 550, 348, 1422, 14050, 3189, 22764, 3712, 22042, 274, 27037, 3847, 24560, 8218, 15204, 2410, 337, 348, 258, 272, 11138, 258, 273, 11138, 258, 274, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 22764, 3712, 329, 22042, 274, 27037, 3847, 24560, 8218, 15204, 2410, 337, 348, 258, 272, 15478, 272, 315, 329, 582, 316, 258, 273, 11138, 314, 272, 315, 329, 582, 316, 258, 274, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 32093, 22042, 273, 27037, 12101, 15927, 326, 347, 3709, 258, 272, 8703, 258, 273, 3686, 1422, 14050, 3189, 13512, 4377, 22042, 273, 27037, 3847, 24560, 8218, 15204, 2410, 331, 348, 258, 272, 11138, 258, 273, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 551, 342, 4377, 22042, 273, 27037, 3847, 24560, 8218, 15204, 2410, 322, 348, 258, 272, 11138, 258, 273, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 551, 327, 872, 3712, 22042, 274, 27037, 3847, 24560, 8218, 15204, 2410, 322, 348, 258, 272, 11138, 258, 273, 11138, 258, 274, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 18091, 1467, 22042, 272, 27037, 22487, 1467, 3189, 327, 15640, 315, 6234, 258, 272, 315, 327, 15640, 3686, 1422, 14050, 3189, 13512, 5255, 541, 22042, 275, 27037, 3847, 24689, 8218, 15204, 2410, 764, 348, 1948, 272, 10559, 14433, 11138, 258, 274, 10559, 14433, 17910, 15204, 4153, 2431, 347, 348, 1422, 14050, 3189, 13512, 984, 12682, 6851, 22042, 275, 27037, 3847, 24560, 8218, 15204, 2410, 31014, 348, 1948, 272, 11138, 258, 274, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 22764, 10420, 22042, 280, 27037, 3847, 24560, 8218, 15204, 2410, 764, 322, 348, 1948, 272, 10559, 14433, 11138, 258, 275, 10559, 14433, 11138, 258, 278, 28363, 14433, 17910, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 22764, 2421, 22764, 22042, 280, 27037, 3847, 24560, 8218, 15204, 2410, 31014, 337, 348, 1948, 272, 11138, 258, 275, 11138, 258, 278, 1422, 754, 15204, 4153, 2431, 316, 348, 1422, 14050, 3189, 338, 1828, 4820, 22042, 272, 27037, 341, 12921, 760, 1015, 696, 315, 7224, 785, 550, 315, 8974, 8663, 3189, 10233, 346, 19990, 4153, 2675, 8827, 263, 3189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19278, 2439, 1262, 1692, 1677, 8073, 13229, 631, 26937, 9582, 4373, 3086, 602, 649, 917, 1018, 544, 26937, 9582, 616, 543, 1946, 789, 960, 267, 1934, 616, 930, 4388, 593, 3384, 3532, 3283, 14018, 4481, 585, 707, 2115, 1384, 272, 269, 5901, 621, 11822, 281, 3550, 707, 544, 26937, 4577, 3884, 1405, 1932, 7294, 282, 6382, 267, 621, 949, 14710, 922, 3483, 563, 273, 269, 5269, 621, 12791, 995, 281, 9608, 4296, 7794, 8823, 267, 865, 3442, 3457, 4143, 547, 596, 563, 274, 269, 18918, 13038, 590, 5151, 281, 26157, 3308, 267, 17391, 267, 28241, 267, 610, 10252, 20469, 2609, 666, 2087, 973, 565, 3005, 563, 275, 269, 19244, 17115, 281, 3117, 11962, 17279, 2781, 906, 9241, 9715, 1983, 543, 1702, 563, 276, 269, 9523, 2060, 11524, 281, 4112, 8724, 544, 26937, 9582, 547, 1866, 25040, 1620, 543, 4396, 5809, 3965, 780, 1103, 3932, 267, 2828, 267, 19713, 519, 1379, 540, 544, 26937, 9582, 2636, 596, 547, 12260, 6456, 1761, 1369, 707, 2634, 256, 1924, 979, 6619, 267, 4603, 609, 1114, 2010, 540, 544, 26937, 9582, 267, 3605, 799, 3283, 9290, 596, 1655, 267, 543, 4585, 3054, 14133, 27268, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17730, 543, 2480, 1681, 4828, 18873, 454, 293, 520, 23173, 5028, 1315, 5192, 1399, 16103, 454, 268, 9669, 1299, 11150, 454, 268, 1323, 4985, 547, 9752, 454, 268, 24727, 1299, 2598, 23002, 454, 268, 7991, 12833, 9876, 618, 454, 268, 3427, 10029, 454, 268, 5303, 538, 519, 15858, 454, 268, 9752, 16989, 22996, 454, 268, 12983, 769, 4065, 454, 268, 9752, 8249, 454, 268, 29460, 589, 11819, 454, 268, 8178, 906, 1299, 18873, 454, 268, 16504, 4065, 454, 268, 18520, 4065, 454, 268, 7981, 4065, 454, 268, 631, 9950, 323, 1421, 15099, 543, 19019, 267, 2160, 540, 8419, 454, 268, 645, 6993, 1421, 3778, 267, 2160, 540, 8419, 454, 13625, 4255, 616, 3730, 585, 3610, 950, 789, 1616, 1053, 547, 2824, 267, 10891, 267, 5659, 267, 30075, 267, 543, 5924, 6218, 1344, 269, 769, 824, 1913, 267, 789, 7048, 593, 519, 5580, 2157, 540, 25204, 781, 12525, 16860, 1547, 1703, 616, 1079, 2010, 540, 1557, 2055, 281, 11658, 543, 6905, 3210, 563, 268, 10163, 24071, 15863, 910, 1452, 1557, 2055, 3970, 1018, 519, 2875, 786, 1865, 538, 519, 1557, 1759, 593, 519, 2262, 532, 540, 519, 2243, 269, 1280, 1383, 267, 834, 13750, 519, 1292, 3604, 1063, 3627, 17566, 262, 543, 7338, 16962, 781, 4978, 827, 5313, 1143, 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, 300, 26937, 9582, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 5530, 20929, 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, 7169, 1944, 6052, 609, 27990, 3562, 8566, 5090, 630, 309, 273, 294, 264, 5303, 692, 5331, 596, 2811, 4730, 609, 707, 5172, 11442, 1286, 950, 10393, 267, 621, 3587, 811, 982, 1175, 513, 1404, 2251, 256, 898, 7140, 883, 513, 6263, 1379, 6728, 602, 666, 948, 1769, 909, 707, 1753, 1282, 513, 3109, 719, 269, 16319, 899, 2257, 5708, 267, 1318, 286, 1809, 713, 9735, 2856, 568, 6251, 547, 4641, 982, 596, 1522, 1589, 256, 2913, 781, 2263, 875, 3167, 6517, 1223, 1831, 1648, 12325, 998, 1945, 1572, 834, 309, 12317, 1834, 3562, 8566, 5090, 2437, 610, 966, 273, 294, 2029, 780, 1262, 4089, 476, 272, 281, 3776, 21744, 20556, 609, 23663, 2878, 692, 290, 1513, 1031, 547, 581, 2241, 6191, 602, 3576, 721, 4025, 269, 4653, 267, 789, 2811, 7432, 883, 1164, 24289, 13300, 14095, 609, 8596, 267, 5904, 267, 543, 1256, 9075, 602, 4558, 17254, 4842, 5666, 540, 5201, 269, 2060, 865, 1454, 5122, 1379, 512, 26786, 2476, 3330, 891, 6472, 267, 4952, 1018, 3116, 789, 1223, 798, 16310, 6117, 1472, 256, 2334, 781, 1141, 966, 273, 294, 2501, 538, 910, 15603, 938, 6517, 2671, 741, 6007, 1379, 609, 5656, 543, 5321, 780, 1262, 4089, 476, 273, 281, 5295, 995, 645, 2660, 625, 5272, 3602, 256, 2878, 692, 25821, 6517, 946, 2462, 22507, 762, 9075, 547, 2196, 23900, 543, 2973, 569, 269, 1452, 9075, 3180, 6266, 540, 3063, 5201, 602, 2356, 4422, 30694, 1247, 6288, 539, 269, 3767, 4605, 2348, 5215, 630, 528, 6148, 1256, 6634, 14386, 540, 1346, 7329, 548, 9075, 13936, 1648, 1927, 1107, 2614, 547, 3761, 3003, 16973, 256, 901, 7104, 4859, 12588, 10741, 1007, 9885, 585, 5883, 938, 1648, 2115, 30396, 780, 1262, 4089, 476, 274, 281, 8080, 547, 27990, 3562, 8566, 5090, 15306, 2878, 692, 3086, 1577, 803, 6338, 596, 547, 27990, 3562, 8566, 5090, 2029, 267, 799, 2636, 1079, 17574, 2792, 1063, 3167, 21870, 543, 12601, 9075, 269, 1879, 3747, 585, 5201, 568, 1970, 693, 3781, 267, 4430, 3859, 610, 2842, 1379, 6383, 1282, 519, 1554, 4991, 6740, 538, 519, 12601, 338, 262, 9075, 269, 4438, 8445, 3108, 267, 950, 3025, 17176, 593, 14233, 8195, 267, 930, 540, 713, 6740, 1648, 8928, 1394, 883, 519, 7470, 547, 2743, 7569, 269, 15346, 267, 26001, 2496, 1262, 4089, 476, 275, 281, 11588, 15332, 22569, 1588, 2878, 692, 8794, 966, 273, 294, 1797, 1447, 16126, 593, 18660, 8093, 10173, 2094, 5710, 1963, 5352, 1034, 540, 519, 6740, 1648, 269, 9578, 267, 4687, 1379, 1851, 1082, 6517, 2337, 3666, 856, 15088, 3361, 676, 26740, 2959, 899, 24106, 543, 2842, 269, 1656, 7058, 1018, 286, 3117, 28366, 4324, 1932, 256, 1358, 4309, 15314, 585, 3246, 1648, 1394, 547, 519, 7470, 267, 9494, 2724, 593, 12123, 3790, 780, 1262, 12244, 5384, 256, 4373, 13914, 827, 513, 2749, 3625, 4904, 609, 19887, 23838, 543, 4213, 269, 5994, 3368, 540, 873, 1378, 3167, 6472, 5827, 540, 1210, 966, 273, 294, 10509, 269, 8571, 513, 6516, 6029, 21985, 13576, 1312, 2081, 1063, 5656, 267, 6517, 267, 543, 519, 2199, 1379, 2030, 269, 22443, 1142, 15561, 10834, 2436, 1648, 12599, 1412, 5228, 7470, 547, 6517, 262, 610, 1412, 5228, 6517, 547, 7470, 9538, 9181, 875, 971, 513, 1062, 1131, 2087, 4398, 267, 2569, 5533, 267, 543, 4688, 7264, 2724, 780, 2026, 649, 14679, 2417, 1524, 519, 4155, 2509, 4264, 2713, 267, 5499, 4066, 899, 27990, 3562, 8566, 5090, 2709, 9621, 3435, 269, 1635, 1620, 2035, 899, 891, 2038, 593, 267, 2221, 781, 6107, 1796, 26405, 547, 1291, 519, 5279, 4724, 22928, 20304, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 513, 1158, 1141, 519, 23832, 540, 2757, 13674, 9817, 568, 8719, 676, 519, 9602, 26866, 619, 540, 3167, 16546, 267, 513, 26832, 6521, 568, 2921, 1747, 269, 634, 4473, 540, 3167, 6472, 630, 14110, 338, 264, 814, 17275, 513, 4838, 602, 14767, 547, 2981, 711, 1152, 938, 9897, 855, 849, 519, 1360, 5958, 540, 938, 2486, 269, 1306, 649, 14719, 622, 513, 2104, 1141, 1169, 1286, 593, 519, 8265, 568, 3167, 267, 649, 616, 7142, 547, 13720, 513, 21318, 540, 2055, 281, 1548, 4523, 952, 649, 782, 5397, 3167, 6517, 286, 1215, 786, 621, 18534, 1901, 938, 4872, 286, 1548, 1764, 786, 621, 723, 593, 938, 1604, 543, 2916, 286, 15012, 721, 607, 649, 7832, 593, 513, 9159, 3460, 883, 519, 2104, 267, 19586, 1782, 519, 1761, 4539, 540, 7839, 3167, 6174, 10073, 269, 4858, 576, 3054, 585, 513, 13858, 3408, 602, 786, 4161, 707, 10054, 543, 1930, 707, 4064, 547, 519, 18546, 4328, 7399, 540, 14182, 779, 6283, 5251, 563, 763, 22547, 540, 11272, 23663, 281, 589, 6820, 29196, 538, 18815, 454, 763, 23207, 15019, 640, 540, 11272, 30863, 454, 763, 10073, 540, 1528, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 309, 12317, 1834, 3562, 8566, 5090, 630, 309, 273, 294, 264, 5303, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 14825, 9394, 12752, 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, 998, 942, 543, 4529, 607, 649, 2263, 519, 4241, 1158, 540, 2757, 7802, 543, 19799, 906, 256, 5620, 596, 2479, 9289, 875, 1004, 21039, 909, 5215, 540, 1296, 3516, 286, 2107, 1946, 1978, 3270, 267, 4778, 267, 610, 2326, 941, 1031, 538, 741, 9660, 286, 1306, 649, 4685, 883, 891, 2055, 267, 649, 3513, 849, 1451, 827, 1018, 3744, 1289, 834, 25791, 9443, 2437, 4481, 9821, 543, 5389, 689, 1472, 519, 8608, 269, 1924, 10544, 707, 31940, 543, 1205, 4712, 1107, 938, 7045, 6238, 1631, 2439, 4131, 781, 1101, 1174, 1079, 1292, 8371, 540, 1514, 9443, 5018, 538, 938, 4367, 910, 6530, 543, 15257, 269, 10925, 3274, 267, 6530, 2090, 2043, 543, 741, 4555, 267, 4606, 267, 543, 5615, 269, 24205, 267, 29285, 267, 5654, 693, 8273, 5961, 676, 6313, 875, 3425, 2170, 1369, 2516, 971, 607, 3885, 267, 2950, 267, 610, 3003, 7239, 780, 3086, 1577, 781, 4019, 713, 1620, 547, 2757, 7802, 543, 19799, 906, 269, 5994, 952, 1142, 2528, 568, 899, 513, 2189, 1893, 282, 1287, 267, 1169, 4062, 540, 7802, 610, 1569, 800, 3587, 513, 2262, 538, 602, 1893, 256, 1635, 4974, 873, 267, 649, 666, 1732, 10146, 1585, 3344, 540, 1114, 12977, 267, 1519, 741, 2418, 267, 4978, 267, 543, 2081, 540, 1272, 269, 8528, 2690, 3236, 267, 1589, 827, 7111, 1977, 11031, 2713, 538, 3345, 3013, 1354, 17417, 8452, 269, 4256, 30933, 9867, 7494, 4470, 593, 519, 14316, 267, 4087, 267, 543, 4005, 855, 3622, 15538, 540, 3662, 554, 1938, 267, 17207, 267, 16115, 267, 543, 19273, 269, 1452, 2326, 14201, 1405, 1175, 14477, 6074, 282, 789, 4371, 2620, 12572, 10096, 269, 1546, 518, 12404, 1522, 2099, 4222, 543, 22231, 1317, 13650, 616, 16190, 2831, 269, 3171, 1430, 338, 1223, 24901, 5191, 543, 4276, 547, 5017, 267, 945, 8038, 1164, 543, 4163, 19001, 547, 519, 29763, 269, 645, 1737, 1740, 1419, 5143, 2984, 610, 4951, 2576, 781, 4567, 1369, 519, 2146, 780, 20118, 267, 2015, 5545, 737, 30266, 334, 267, 17715, 3775, 525, 12816, 1282, 2027, 14026, 269, 13690, 517, 657, 4266, 1394, 547, 519, 1261, 1014, 1974, 630, 8064, 275, 1700, 14093, 276, 264, 950, 789, 941, 5097, 1500, 689, 16536, 543, 12286, 6946, 6272, 694, 1233, 609, 11344, 16060, 269, 3683, 942, 267, 3652, 12044, 2681, 10659, 267, 5958, 2010, 267, 543, 4806, 12417, 7960, 1759, 593, 649, 31600, 262, 6502, 267, 29281, 4567, 267, 543, 1514, 7584, 269, 4634, 2221, 267, 9849, 513, 737, 30266, 334, 7157, 3340, 3573, 2866, 1813, 547, 782, 891, 16082, 780, 1103, 4000, 267, 3309, 17174, 28930, 725, 1267, 538, 513, 546, 9579, 1782, 5044, 540, 23157, 543, 1560, 12381, 269, 1280, 1383, 267, 519, 8575, 553, 2967, 1004, 689, 15057, 543, 25157, 616, 1634, 585, 741, 7524, 2699, 695, 14243, 330, 14504, 12308, 20386, 1472, 741, 4703, 269, 4414, 4564, 10100, 267, 1247, 519, 12166, 3270, 2992, 519, 649, 13145, 781, 2123, 2833, 543, 10781, 269, 2201, 519, 824, 1688, 267, 519, 5080, 2742, 543, 631, 2720, 328, 2021, 540, 18629, 946, 10036, 10824, 547, 8831, 741, 2539, 17534, 910, 513, 2259, 2808, 4190, 543, 22566, 540, 15657, 543, 22026, 585, 7365, 780, 3528, 1565, 827, 2757, 7802, 543, 19799, 906, 267, 649, 2253, 547, 1294, 3564, 6071, 23079, 269, 1284, 8275, 602, 1142, 1412, 5320, 10086, 610, 6221, 540, 7802, 267, 8309, 547, 513, 3638, 13795, 540, 1480, 1686, 267, 11589, 519, 10848, 540, 1367, 8186, 607, 1134, 607, 7104, 9163, 269, 1656, 3884, 1405, 621, 5863, 875, 23091, 6530, 543, 15257, 1831, 1934, 286, 4197, 835, 27862, 938, 8223, 540, 519, 824, 780, 3383, 1985, 942, 596, 2322, 593, 707, 5172 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 2038, 27867, 2540, 267, 3864, 2441, 754, 558, 729, 1869, 556, 9934, 689, 519, 2360, 540, 519, 17557, 26746, 267, 513, 3909, 543, 2686, 30331, 10052, 17275, 676, 9410, 13162, 781, 834, 4817, 634, 4513, 257, 538, 476, 14681, 278, 269, 901, 3350, 10943, 842, 1229, 5375, 8567, 883, 1079, 2101, 8371, 281, 17557, 1143, 543, 4936, 30871, 269, 3683, 7766, 5756, 267, 891, 5132, 338, 2919, 3982, 9163, 267, 12738, 267, 543, 25327, 267, 30740, 26740, 7526, 1063, 741, 13794, 269, 2290, 971, 30925, 30192, 883, 1018, 2968, 1634, 607, 519, 774, 8812, 13012, 262, 2782, 630, 14065, 279, 268, 13932, 279, 1070, 6028, 30170, 7436, 593, 3864, 1686, 780, 2414, 1174, 713, 1486, 26167, 4655, 267, 621, 568, 2629, 547, 4983, 922, 8129, 1369, 519, 6626, 2796, 540, 2022, 268, 3725, 4146, 3909, 13253, 269, 21231, 267, 519, 13458, 540, 4119, 338, 7921, 630, 14028, 276, 264, 1185, 13986, 547, 844, 749, 3909, 1193, 1057, 676, 28498, 2199, 17710, 547, 3313, 2436, 741, 5396, 1131, 1246, 2901, 13162, 534, 610, 7826, 14985, 910, 519, 6240, 540, 24140, 3780, 1036, 1470, 267, 552, 3780, 2538, 1470, 9497, 3369, 846, 3148, 267, 1010, 4984, 20257, 1717, 267, 713, 14207, 8959, 547, 2061, 26742, 19631, 17061, 540, 5208, 269, 1635, 519, 21554, 540, 519, 27867, 2540, 267, 21334, 1308, 15523, 2620, 2989, 2066, 2342, 267, 3226, 2059, 10923, 3515, 269, 6239, 543, 7187, 2342, 7550, 17557, 1143, 267, 1247, 7013, 4525, 7283, 15866, 7826, 269, 11531, 267, 18246, 29293, 543, 7810, 26136, 9450, 1312, 5289, 543, 16857, 15180, 1845, 5196, 30152, 3338, 780, 1103, 476, 14065, 279, 267, 9583, 21030, 6681, 2621, 538, 4425, 1335, 807, 5337, 1243, 32618, 3909, 1918, 657, 885, 267, 32117, 873, 883, 2407, 1532, 31500, 13137, 269, 30544, 4083, 267, 5246, 706, 651, 540, 15212, 543, 4622, 3887, 937, 540, 4425, 1335, 807, 267, 8179, 547, 20818, 7826, 31249, 344, 2390, 1010, 9241, 9715, 2531, 514, 542, 269, 3571, 3646, 1008, 12097, 7839, 4187, 1851, 4425, 1335, 1014, 8821, 956, 267, 28285, 538, 519, 4347, 523, 652, 1674, 540, 26285, 826, 593, 2904, 476, 2537, 267, 476, 14065, 279, 1107, 950, 29832, 745, 660, 1194, 18211, 4531, 1846, 9292, 1194, 1079, 11440, 1827, 832, 856, 540, 513, 6885, 269, 4014, 9444, 4013, 829, 1639, 267, 713, 10565, 23972, 3090, 1242, 519, 12900, 540, 670, 11274, 7921, 6392, 543, 6825, 519, 4098, 540, 1804, 8397, 3984, 1988, 780, 22873, 6053, 267, 519, 4655, 8486, 1540, 5097, 17557, 4229, 3366, 676, 16862, 267, 13785, 267, 543, 1585, 4436, 2829, 1996, 7826, 20679, 896, 5053, 543, 22341, 4971, 269, 1306, 12959, 986, 3022, 2066, 18626, 2342, 267, 20748, 3604, 4749, 23324, 609, 7580, 9270, 269, 14579, 7060, 23699, 519, 14784, 547, 4434, 741, 1378, 4690, 267, 2417, 635, 2364, 908, 6927, 269, 1280, 3236, 267, 5333, 267, 13166, 7826, 2943, 12926, 20935, 2509, 670, 2355, 7921, 30566, 344, 267, 1071, 3200, 569, 6462, 4550, 6953, 11274, 7921, 5755, 1431, 5103, 6849, 4835, 18018, 340, 523, 582, 31837, 516, 2388, 269, 6684, 267, 4789, 267, 5258, 24323, 1063, 29842, 753, 543, 8830, 30808, 267, 1201, 11712, 689, 1463, 9525, 2394, 20182, 595, 668, 6202, 781, 20448, 1296, 2663, 780, 7021, 942, 267, 4108, 26106, 655, 622, 1266, 5285, 539, 519, 11782, 267, 5309, 9822, 730, 676, 13350, 1854, 806, 899, 519, 3798, 1112, 540, 10163, 3191, 630, 14341, 280, 264, 543, 15521, 540, 700, 6686, 20198, 630, 14341, 280, 1040, 1452, 1365, 2572, 9863, 10151, 267, 2705, 267, 607, 1705, 8942, 693, 7858, 7007, 4708, 998, 19014, 7036, 539, 693, 16189, 3122, 543, 14642, 10109, 337, 6686, 1188, 269, 16828, 267, 9854, 543, 2883, 8833, 19430, 26997, 13618, 1851, 11350, 580, 5166, 338, 269, 2201, 5239, 476, 2190, 267, 476, 13932, 279, 267, 789, 3413, 12089, 741, 22782, 547, 519, 13458, 540, 4639, 13921, 807, 267, 3927, 2165, 3215, 519, 774, 8812, 13012, 262, 2782, 780, 1607, 19506, 14097, 3648, 18534, 9464, 3864, 6214, 543, 2486, 269, 4107, 16113, 267, 621, 1671, 15590, 1441, 16285, 543, 1875, 17942, 3685, 3741, 267, 9301, 1367, 1533, 13190, 3823, 3909, 28930, 725, 269, 5047, 267, 621, 18005, 17019, 519, 10656, 6243, 781, 7115, 689, 8050, 543, 24019, 16848, 781, 29591, 269, 9182, 267, 519, 13458, 540, 4639, 13921, 807, 9788, 13654, 7944, 18429, 585, 2413, 3486, 1894, 3069, 780, 8601, 922, 3140, 4644, 267, 519, 774, 8812, 13012, 262, 2782, 3788, 4143, 2221, 1813, 547, 11972, 4245, 827, 3961, 6214, 267, 1379, 9620, 267, 543, 26516, 4539, 269, 12634, 9840, 1472, 11776, 267, 18371, 1143, 267, 543, 16712, 1436, 16079, 2147, 2055, 15054, 2185, 5553, 3516, 269, 11569, 267, 1082, 4207, 4182, 32145, 3136, 21679, 609, 10347, 21356, 1063, 3084, 9322, 543, 6803, 4763, 267, 20515, 875, 7184, 12082, 891, 2152, 616, 538, 1480, 1995, 269, 4935, 267, 4974, 519, 774, 8812, 13012, 262, 2782, 3091, 3407, 4030, 883, 18596, 3270, 540, 6848, 4720, 267, 25967, 1681, 938, 3838, 8103, 543, 8994, 2591, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3682, 11687, 656, 1143, 568, 519, 7936, 540, 8567, 602, 8237, 2476, 689, 519, 4936, 7826, 5783, 607, 513, 1267, 540, 519, 26746, 1282, 519, 476, 1428, 628, 543, 476, 1626, 628, 5553, 538, 2342, 269, 7880, 3215, 538, 519, 834, 4817, 634, 4513, 257, 540, 9410, 13162, 543, 8185, 6766, 676, 3627, 27869, 1282, 922, 2038, 1646, 267, 29559, 540, 17557, 1143, 616, 1631, 519, 8789, 10764, 538, 1454, 540, 3844, 543, 7187, 2342, 607, 1134, 607, 3345, 3013, 543, 616, 4922, 13736, 2429, 1454, 540, 519, 1964, 540, 519, 1158, 563, 763, 2012, 834, 3682, 11687, 656, 257, 12090, 689, 519, 834, 2889, 11687, 566, 257, 538, 799, 519, 3056, 4436, 2379, 806, 7874, 547, 519, 26746, 8087, 609, 27552, 4872, 540, 5125, 593, 4455, 26142, 559, 476, 1839, 267, 476, 13923, 280, 267, 1996, 519, 31885, 540, 519, 4936, 5354, 540, 519, 2034, 10791, 540, 4325, 9807, 269, 898, 729, 513, 25084, 3833, 2681, 1652, 689, 519, 3909, 1448, 540, 2070, 267, 543, 729, 1101, 1031, 607, 513, 2797, 13423, 2867, 676, 519, 17837, 540, 1346, 945, 9896, 519, 13889, 269, 898, 729, 711, 8209, 4294, 538, 606, 1727, 13681, 686, 748, 2631, 267, 2705, 267, 865, 602, 519, 740, 6254, 338, 540, 519, 1007, 29625, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 774, 8812, 13012, 262, 2782, 630, 14065, 279, 268, 13932, 279, 17983, 607, 851, 540, 834, 19615, 1315, 7073, 1315, 476, 1704, 628, 11416, 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, 1012, 5384, 10022, 5811, 609, 5124, 692, 11742, 3126, 2079, 568, 513, 3532, 1907, 585, 1620, 543, 17782, 13796, 1239, 269, 769, 713, 1837, 267, 649, 786, 2263, 519, 17950, 540, 942, 3126, 2079, 1210, 5124, 267, 2519, 593, 519, 590, 2752, 296, 7246, 311, 2203, 585, 20925, 269, 1284, 786, 849, 3382, 1239, 5347, 532, 2553, 543, 14839, 780, 2162, 2776, 7528, 28987, 692, 6524, 649, 2253, 267, 1118, 2386, 596, 723, 519, 1739, 5124, 8021, 8704, 1384, 268, 2387, 335, 663, 553, 319, 585, 1239, 12879, 454, 268, 2387, 31596, 319, 585, 10230, 26398, 454, 268, 2387, 3901, 15003, 319, 585, 1239, 14839, 454, 268, 2387, 560, 1846, 7116, 1564, 319, 585, 8579, 9781, 692, 2791, 666, 3888, 873, 1210, 2387, 26921, 319, 912, 8199, 26921, 3888, 21795, 11885, 21267, 28135, 7116, 1564, 454, 7884, 2162, 7383, 532, 23905, 692, 4131, 781, 1376, 676, 1104, 532, 519, 2556, 8021, 912, 3499, 7090, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 28135, 7116, 1564, 269, 777, 328, 607, 1159, 454, 7884, 2162, 4578, 19369, 692, 2690, 713, 5850, 267, 649, 786, 946, 513, 2241, 942, 3126, 10471, 267, 799, 568, 6740, 538, 513, 21795, 4578, 20988, 2387, 4206, 18269, 3962, 4737, 538, 519, 4578, 20988, 4564, 513, 942, 1900, 267, 543, 519, 2418, 616, 6740, 538, 513, 6241, 3957, 2387, 11161, 27471, 6524, 649, 666, 4019, 942, 3126, 3631, 267, 649, 991, 547, 5965, 938, 1239, 269, 901, 3322, 13321, 519, 1239, 883, 513, 5078, 3898, 585, 9781, 543, 5347, 532, 856, 1022, 6846, 538, 519, 1239, 780, 2971, 17029, 1782, 6399, 692, 3080, 1455, 1259, 547, 5347, 1239, 568, 676, 7384, 519, 12902, 1611, 269, 901, 3322, 12719, 519, 3328, 1871, 540, 519, 1239, 936, 513, 9138, 6885, 269, 769, 938, 2013, 267, 649, 786, 946, 513, 6885, 540, 476, 274, 942, 3268, 912, 3499, 7090, 454, 754, 690, 815, 17093, 11468, 328, 4940, 13764, 263, 274, 1040, 11743, 4590, 8199, 2080, 267, 2387, 4206, 11468, 328, 316, 319, 2824, 338, 519, 1101, 2387, 328, 319, 9343, 540, 519, 4578, 20988, 267, 543, 2387, 13764, 263, 274, 23375, 10039, 513, 12902, 6885, 540, 2450, 476, 274, 269, 634, 2387, 11743, 13237, 1599, 1287, 1939, 525, 519, 3328, 1871, 1369, 1142, 6885, 780, 2971, 590, 2752, 296, 7246, 311, 7844, 692, 5629, 649, 723, 5423, 938, 1239, 267, 649, 666, 4019, 513, 942, 3126, 2203, 269, 769, 713, 5850, 267, 649, 786, 946, 519, 590, 2752, 296, 7246, 311, 2203, 267, 799, 6763, 585, 17897, 531, 16790, 8802, 4809, 21091, 25021, 19105, 609, 552, 311, 18100, 1036, 816, 832, 269, 901, 2203, 568, 513, 31633, 540, 519, 589, 6020, 7246, 2203, 267, 799, 568, 4922, 1031, 585, 942, 3126, 20925, 780, 763, 590, 2752, 296, 7246, 311, 2203, 568, 3989, 676, 519, 1739, 3830, 1384, 16465, 344, 4671, 815, 524, 1341, 1422, 8999, 3709, 328, 284, 272, 11892, 335, 1422, 12978, 10983, 586, 3709, 339, 25829, 348, 1341, 1422, 8999, 3709, 328, 284, 272, 11892, 336, 1422, 9064, 10983, 1422, 22668, 3709, 339, 25829, 348, 1341, 1422, 8999, 3709, 328, 284, 272, 11892, 321, 1422, 15883, 10983, 1535, 3709, 339, 25829, 348, 1341, 1422, 22668, 4671, 454, 9681, 3602, 1269, 344, 4671, 259, 568, 519, 3210, 4756, 693, 942, 1269, 339, 8961, 1269, 322, 259, 568, 513, 3586, 2165, 267, 4399, 12978, 10983, 259, 616, 519, 1313, 648, 326, 4809, 14170, 267, 4399, 9064, 10983, 259, 616, 519, 3001, 3328, 14170, 267, 4399, 15883, 10983, 259, 616, 519, 14170, 585, 519, 608, 18100, 1036, 816, 832, 267, 543, 4399, 22668, 4671, 259, 568, 519, 5470, 2165, 693, 942, 1269, 339, 16859, 2414, 4019, 519, 590, 2752, 296, 7246, 311, 2203, 267, 649, 991, 547, 14574, 519, 1931, 540, 519, 2203, 267, 799, 568, 3989, 676, 513, 24042, 25464, 335, 267, 546, 267, 7117, 264, 12452, 1141, 2387, 335, 319, 568, 519, 1297, 540, 1313, 648, 326, 4809, 2474, 267, 2387, 323, 319, 568, 519, 4110, 540, 988, 333, 1424, 267, 543, 2387, 336, 319, 568, 519, 1297, 540, 3001, 3328, 2474, 269, 1284, 849, 991, 547, 14574, 2436, 547, 1331, 513, 3586, 2165, 543, 519, 7678, 780, 1103, 938, 2013, 267, 649, 786, 946, 606, 1931, 540, 25464, 272, 267, 476, 271, 267, 476, 271, 23375, 543, 1331, 513, 3586, 2165, 543, 513, 5276, 7678, 912, 3499, 7090, 454, 7116, 815, 1159, 269, 1206, 320, 2529, 2752, 296, 7246, 311, 263, 754, 690, 267, 1931, 14352, 272, 267, 476, 271, 267, 476, 271, 1070, 7678, 8782, 322, 5073, 7884, 2971, 7844, 6480, 11582, 692, 5629, 649, 723, 3989, 938, 2203, 267, 649, 666, 7447, 519, 6724, 1210, 5021, 10171, 16759, 912, 3499, 7090, 454, 637, 815, 1110, 32265, 4590, 7884, 2162, 5983, 26511, 692, 5475, 21501, 519, 2203, 267, 649, 666, 946, 621, 547, 9472, 2104, 2418, 540, 519, 942, 3126, 269, 1677, 798, 713, 267, 649, 666, 946, 519, 2387, 1326, 318, 1150, 4751, 13237, 1505, 267, 799, 7024, 513, 9472, 1843, 5627, 519, 10567, 2418, 543, 6015, 11996, 780, 1103, 938, 2013, 267, 649, 786, 9472, 519, 1985, 476, 1428, 942, 3268, 912, 3499, 7090, 454, 325, 4751, 815, 759, 10947, 318, 1150, 4751 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8882, 3836, 9641, 540, 30505, 8437, 547, 2557, 713, 14298, 4338, 16694, 1496, 13707, 281, 476, 271, 19105, 281, 476, 271, 30446, 2168, 3797, 630, 290, 8976, 610, 30446, 25280, 264, 568, 606, 21572, 24999, 4480, 630, 16898, 264, 547, 8963, 519, 9641, 267, 543, 949, 1331, 25576, 15664, 630, 743, 6260, 1070, 19089, 267, 2620, 7244, 267, 543, 554, 4428, 532, 610, 23472, 269, 2060, 9221, 2168, 3797, 630, 290, 8976, 1070, 519, 1268, 4991, 538, 1114, 7158, 547, 946, 8904, 547, 8963, 22024, 630, 14006, 1116, 12775, 264, 689, 519, 2947, 10981, 525, 540, 519, 9641, 454, 14300, 540, 29480, 4325, 16696, 910, 7300, 269, 4873, 476, 275, 267, 476, 3707, 271, 282, 519, 1554, 950, 11788, 10579, 12736, 8725, 26235, 12038, 1354, 519, 5600, 540, 12780, 267, 543, 5795, 513, 1867, 602, 9976, 519, 2922, 15063, 540, 741, 10136, 602, 941, 18843, 539, 593, 519, 11824, 540, 667, 6064, 25184, 1247, 849, 5275, 547, 6318, 513, 1448, 593, 6628, 711, 27410, 4708, 2474, 609, 519, 20599, 29747, 13609, 700, 12569, 623, 2075, 15664, 2037, 14517, 269, 513, 3670, 2173, 913, 618, 24194, 1759, 593, 519, 1603, 540, 519, 31494, 7338, 631, 30639, 267, 543, 14970, 538, 22208, 676, 634, 15608, 28676, 1315, 2983, 32015, 918, 2465, 10045, 6828, 269, 3571, 476, 1001, 272, 17581, 267, 519, 9159, 267, 15138, 966, 8656, 267, 568, 519, 634, 6679, 23972, 540, 519, 960, 585, 1383, 910, 513, 3126, 540, 3625, 22334, 593, 519, 14440, 602, 10393, 8237, 1063, 519, 1079, 3946, 269, 670, 26041, 282, 19154, 8104, 282, 19419, 21788, 4753, 22244, 16576, 14473, 282, 15562, 8008, 269, 11873, 11242, 282, 8535, 16497, 20308, 8535, 16497, 585, 519, 4937, 8535, 15858, 543, 8535, 543, 11873, 5049, 907, 7982, 547, 3427, 7982, 547, 3427, 16504, 8535, 4245, 609, 32597, 8964, 267, 4928, 3756, 267, 1560, 25576, 15664, 4798, 1519, 282, 13465, 267, 4730, 7405, 267, 3860, 3350, 267, 610, 742, 267, 737, 617, 3315, 267, 11733, 267, 12334, 267, 23260, 267, 26723, 514, 6737, 267, 27906, 5314, 269, 681, 20263, 853, 6506, 11242, 269, 3371, 616, 930, 2653, 543, 1187, 2093, 596, 666, 2119, 256, 1849, 2660, 267, 1849, 2660, 267, 1849, 871, 640, 267, 1849, 871, 281, 901, 2370, 669, 656, 568, 2110, 543, 547, 519, 1448, 267, 543, 3501, 585, 7820, 1453, 15301, 8266, 523, 543, 6258, 8535, 264, 634, 772, 3387, 20255, 14576, 281, 1411, 666, 946, 11733, 16853, 547, 7148, 1247, 13465, 713, 24925, 1554, 5152, 15301, 4131, 781, 7591, 8866, 8535, 454, 2080, 649, 3513, 946, 930, 11690, 514, 1095, 1115, 538, 20603, 1160, 2473, 547, 1711, 513, 13346, 267, 19796, 1099, 334, 16654, 25576, 15664, 1899, 269, 630, 15862, 5491, 281, 11197, 264, 5153, 476, 272, 281, 1284, 4312, 1305, 20603, 781, 32171, 547, 476, 15221, 321, 10975, 543, 16041, 513, 5348, 628, 9723, 3280, 883, 6341, 16980, 269, 634, 3903, 540, 3280, 786, 4096, 593, 707, 3950, 267, 855, 1022, 2110, 25576, 1380, 633, 3280, 786, 960, 1134, 634, 11733, 543, 3350, 540, 7148, 267, 2813, 676, 519, 4496, 512, 2355, 593, 519, 31623, 543, 19462, 540, 513, 15854, 1356, 781, 10887, 267, 21810, 519, 15854, 1356, 883, 513, 25576, 1380, 633, 22459, 269, 24135, 7544, 11363, 519, 2095, 540, 3350, 676, 3450, 519, 15854, 1356, 547, 1265, 18819, 543, 20054, 711, 1152, 538, 2575, 855, 538, 741, 1378, 4703, 454, 28694, 623, 2075, 15664, 609, 744, 961, 773, 20658, 1067, 269, 1684, 707, 2228, 610, 538, 1268, 13998, 1253, 2331, 4245, 991, 513, 2370, 838, 6005, 909, 286, 744, 961, 773, 20658, 1067, 540, 19468, 3619, 525, 2201, 814, 930, 1187, 2093, 1210, 1560, 25576, 15664, 630, 7224, 4687, 14386, 602, 666, 581, 1031, 585, 5691, 610, 538, 1268, 1565, 269, 744, 961, 773, 1281, 711, 6529, 547, 519, 8912, 267, 1273, 267, 804, 777, 16826, 543, 26882, 267, 646, 14405, 593, 1010, 1995, 7900, 609, 5254, 302, 6573, 547, 2263, 1560, 25576, 15664, 538, 2081, 269, 769, 16127, 267, 2027, 5347, 5757, 7725, 616, 851, 540, 519, 554, 3121, 2245, 269, 1452, 1507, 10007, 282, 1572, 1412, 8270, 262, 8270, 267, 616, 4371, 538, 513, 15854, 1356, 781, 1688, 543, 512, 11474, 1927, 585, 513, 25576, 15664, 3280, 543, 602, 3587, 851, 540, 519, 6186, 5322, 540, 519, 7544, 269, 1403, 596, 1616, 547, 1404, 22963, 16654, 267, 2638, 856, 519, 2022, 2630, 585, 811, 827, 713, 2245, 454, 6224, 2752, 16249, 12327, 4456, 12195, 2464, 11123, 11682, 22076, 13965, 6789, 306, 8577, 16774, 269, 27699, 2562, 267, 22743, 7644, 6730, 19364, 6579, 306, 269, 16164, 11909, 267, 3636, 267, 3819, 543, 13412, 269, 3143, 15087, 610, 2300, 9461, 725, 7074, 269, 6196, 16289, 26618, 10077, 1318, 2539, 17737, 476, 275, 6279, 1279, 267, 6094, 267, 543, 3043, 269, 14109, 1074, 1782, 540, 1954, 1188, 956, 7074, 2066, 1750, 4060, 543, 9224, 269, 22458, 6960, 267, 13105, 3259, 267, 2973, 267, 21743, 1280, 1383, 267, 513, 4819, 945, 26717, 513, 2915, 814, 547, 581, 593, 782, 2185, 338, 543, 13626, 538, 1063, 1247, 15472, 610, 2220, 11691, 269, 589, 13131, 814, 547, 31770, 593, 519, 6989, 543, 513, 6177, 786, 1166, 777, 922, 12209, 950, 15472, 269, 1403, 991, 581, 267, 596, 1223, 1397, 873, 513, 1906, 7575, 543, 1205, 513, 1906, 17254, 326, 956, 538, 2132, 269, 7591, 519, 2575, 267, 1832, 695, 4428, 1782, 1063, 11964, 267, 689, 3500, 547, 3728, 543, 13030, 17930, 19639, 7695, 910, 19639, 7695, 910, 5403, 7304, 558, 4842, 1143, 538, 519, 476, 736, 628, 2540, 543, 3564, 281, 19863, 324, 13891, 1380, 344, 538, 5333, 729, 4440, 519, 1034, 1271, 21917, 540, 519, 1974, 689, 476, 6642, 271, 2394, 519, 2490, 540, 519, 476, 736, 628, 2540, 269, 634, 25803, 540, 713, 5736, 13986, 547, 4766, 10207, 543, 18427, 30181, 676, 519, 946, 540, 3638, 11745, 625, 543, 513, 2647, 29984, 540, 4626, 3691, 269, 3143, 21917, 2479, 17411, 519, 15437, 540, 519, 32316, 269, 476, 1015, 7454, 14576, 338, 585, 24162, 16359, 11873, 269, 476, 272, 269, 18007, 18007, 18007, 2659, 4425, 520, 269, 901, 568, 519, 3501, 2962, 5152, 585, 20854, 543, 621, 781, 1419, 835, 540, 519, 1101, 3283, 602, 789, 616, 2111, 547, 9787, 269, 634, 2241, 4737, 532, 2962, 538, 8424, 568, 1390, 585, 1818, 2828, 543, 2009, 585, 1256, 1360, 2370, 3283, 547, 2972, 269, 476, 273, 0, 6865, 288, 11190, 267, 17252, 1700, 288, 4557, 3293, 1686, 7548, 689, 11511, 697, 517, 2160, 9447, 513, 9420, 338, 4575, 9514, 1282, 1010, 968, 22139, 1977, 31511, 892, 11000, 2063, 3018, 269, 1677, 513, 1362, 540, 476, 2412, 1053, 267, 4515, 269, 18148, 29975, 12050, 569, 10294, 602, 968, 933, 917, 7507, 7012, 1406, 3710, 538, 513, 1554, 267, 855, 15345, 21036, 1522, 4076, 1044, 1848, 634, 1362, 267, 16922, 540, 7361, 15345, 21036, 268, 19327, 25165, 267, 941, 2451, 10982, 26359, 676, 519, 9228, 13581, 547, 741, 11537, 2749, 269, 1215, 1223, 971, 513, 1158, 11665, 2749, 723, 1044, 3710, 538, 835, 1554, 888, 8601, 7525, 1843, 542, 689, 1010, 10453, 267, 29975, 23060, 1524, 593, 1010, 18879, 267, 4687, 519, 4681, 689, 1010, 8717, 17489, 1382, 883, 519, 2749, 779, 20297, 269, 968, 2467, 779, 513, 3395, 3661, 602, 15345, 21036, 16204, 2426, 909, 16074, 269, 6056, 827, 621, 269, 3502, 513, 2582, 2713, 1268, 666, 642, 13224, 585, 519, 2749, 779, 1646, 269, 2353, 649, 917, 568, 602, 593, 5147, 476, 275, 628, 267, 476, 6977, 275, 267, 519, 2749, 540, 15345, 21036, 729, 4535, 269, 1403, 649, 979, 1394, 547, 5147, 476, 274, 6113, 286, 1703, 729, 4986, 269, 1215, 519, 22946, 616, 596, 2469, 547, 2491, 602, 9495, 12846, 267, 1082, 1053, 7283, 14955, 9109, 1027, 269, 634, 7548, 7682, 539, 602, 1010, 1382, 1185, 8854, 998, 9645, 9263, 2689, 267, 1256, 19101, 267, 968, 11004, 616, 909, 547, 8370, 12206, 18487, 945, 3858, 609, 1250, 4681, 1848, 1717, 267, 646, 15189, 547, 2012, 1022, 540, 891, 12206, 563, 5475, 513, 12699, 1394, 543, 8521, 267, 4515, 269, 29975, 779, 2013, 8057, 811, 543, 811, 20310, 269, 1261, 16668, 1463, 16198, 1063, 15345, 21036, 543, 7507, 267, 15738, 856, 602, 267, 1247, 7507, 1185, 513, 968, 322, 1905, 268, 2023, 892, 540, 1148, 543, 513, 897, 1047, 636, 543, 930, 13039, 602, 1223, 2760, 581, 3710, 538, 513, 1554, 267, 15345, 21036, 729, 513, 1454, 811, 2596, 2749, 269, 634, 2262, 968, 13678, 921, 892, 729, 16207, 1472, 513, 2603, 269, 29975, 11074, 2110, 540, 30418, 7507, 513, 9120, 10278, 267, 855, 519, 1603, 729, 593, 519, 3774, 267, 543, 602, 6299, 5523, 930, 15345, 21036, 5884, 327, 1841, 519, 4636, 1259, 563, 3528, 519, 1439, 540, 519, 11000, 267, 519, 5354, 8815, 602, 29975, 1522, 581, 593, 547, 1945, 269, 2290, 20822, 2875, 689, 9628, 7150, 267, 968, 515, 779, 1318, 269, 2290, 1554, 972, 729, 4986, 267, 543, 519, 1985, 1554, 972, 729, 513, 2749, 269, 19402, 18825, 666, 13182, 6382, 609, 513, 1101, 16512, 2272, 267, 594, 3494, 4515, 269, 29975, 269, 26735, 12510, 2394, 8810, 16944, 267, 610, 1945, 1848, 0, 1692, 547, 798, 2480, 732, 322, 4900, 454, 272, 269, 5776, 7381, 543, 2178, 609, 707, 3952, 5116, 827, 13105, 2914, 5954, 6306, 454, 273, 269, 6875, 513, 6109, 936, 8518, 17945, 540, 519, 31945, 10428, 338, 543, 3180, 707, 7916, 2663, 958, 1166, 1563, 938, 543, 2476, 689, 707, 1560, 865, 602, 519, 31945, 10428, 338, 13793, 2509, 519, 6989, 267, 609, 707, 27374, 6849, 23651, 267, 543, 707, 1714, 28647, 2196, 519, 1482, 4463, 607, 707, 17525, 630, 11004, 1058, 581, 513, 476, 3445, 24266, 18846, 693, 707, 23969, 994, 274, 269, 5901, 707, 4295, 2178, 543, 17967, 519, 7916, 630, 23719, 19755, 873, 264, 8744, 519, 31945, 10428, 338, 20733, 538, 606, 2895, 6438, 5163, 454, 275, 269, 15566, 547, 6318, 519, 31945, 10428, 338, 2394, 789, 3914, 519, 1283, 2990, 543, 707, 27374, 616, 1631, 6849, 585, 2072, 630, 6112, 4509, 519, 1482, 476, 3445, 24266, 18846, 693, 519, 23969, 994, 276, 269, 681, 27654, 519, 5163, 1394, 1524, 547, 519, 4358, 2990, 454, 1432, 6091, 798, 2480, 732, 322, 4900, 960, 888, 763, 3119, 6091, 1031, 538, 2480, 732, 322, 4900, 616, 519, 9701, 619, 543, 3004, 1186, 269, 0, 2419, 534, 752, 5984, 715, 16951, 281, 12292, 666, 4001, 513, 1268, 513, 2603, 540, 1919, 269, 1717, 267, 621, 779, 2009, 602, 649, 1810, 1406, 1491, 621, 12517, 2614, 269, 26960, 752, 5984, 814, 5143, 721, 998, 18627, 1018, 649, 1058, 1451, 689, 513, 1810, 4486, 563, 2419, 534, 752, 5984, 715, 16951, 281, 4804, 666, 581, 2944, 693, 1022, 2085, 269, 1703, 616, 1082, 1004, 538, 519, 2777, 945, 1397, 721, 519, 1318, 2619, 1900, 676, 1900, 267, 971, 607, 22242, 267, 575, 32203, 267, 543, 2828, 269, 12292, 4001, 1004, 1082, 4245, 267, 1175, 607, 891, 1004, 4001, 721, 827, 2713, 1272, 269, 1717, 267, 621, 779, 2009, 602, 649, 1810, 1406, 1491, 621, 12517, 2614, 269, 4340, 547, 21926, 776, 320, 26960, 752, 5984, 267, 972, 568, 1100, 13442, 593, 713, 4541, 602, 2696, 814, 2366, 1510, 1022, 4162, 269, 26960, 752, 5984, 814, 5143, 721, 998, 18627, 1018, 649, 1058, 1451, 689, 513, 1810, 4486, 269, 1403, 596, 1616, 547, 581, 3811, 538, 1272, 267, 596, 1058, 9090, 9772, 891, 1614, 1810, 4486, 4162, 563, 1729, 581, 1543, 454, 2005, 568, 6190, 547, 4309, 1018, 814, 1044, 4607, 269, 901, 568, 519, 1034, 1271, 16051, 571, 585, 2713, 513, 6126, 1272, 267, 543, 621, 568, 1655, 547, 1376, 8026, 621, 607, 4166, 607, 2009, 269, 1284, 1590, 581, 1543, 609, 1018, 649, 723, 269, 1684, 711, 7119, 538, 519, 6735, 5198, 269, 1684, 711, 1450, 26846, 547, 4341, 707, 1272, 269, 1411, 786, 2141, 581, 30223, 952, 596, 798, 713, 267, 543, 8788, 786, 2760, 2097, 5679, 12177, 563, 10673, 1406, 581, 513, 4172, 577, 15837, 454, 22142, 581, 27823, 827, 1022, 960, 952, 596, 1616, 547, 1831, 10995, 543, 3811, 538, 3388, 596, 798, 269, 589, 1810, 4486, 267, 585, 1383, 267, 5170, 547, 4163, 519, 11411, 5103, 25874, 269, 6684, 267, 835, 1058, 960, 29367, 547, 2347, 1010, 610, 1200, 4247, 269, 589, 1268, 945, 568, 27823, 30417, 960, 543, 568, 2760, 2111, 547, 2347, 621, 563, 3849, 2194, 547, 519, 2175, 454, 10673, 4486, 568, 14955, 1356, 2740, 827, 519, 2837, 269, 1261, 4188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2311, 930, 1448, 538, 938, 2729, 267, 649, 723, 2944, 1945, 610, 7654, 786, 798, 1945, 602, 814, 5433, 607, 1498, 513, 11784, 4323, 610, 26032, 540, 13236, 814, 1044, 15427, 1055, 269, 634, 1655, 1259, 547, 2569, 2589, 568, 547, 2057, 1018, 3123, 707, 11959, 713, 568, 2523, 1271, 585, 1426, 543, 3075, 11959, 269, 10684, 11959, 616, 3361, 950, 519, 4761, 1062, 20781, 547, 930, 3114, 6712, 540, 513, 4915, 267, 543, 2589, 666, 2039, 689, 7646, 547, 14686, 563, 763, 1655, 2014, 543, 1198, 1557, 3584, 585, 3384, 267, 3123, 540, 8474, 538, 519, 476, 1240, 628, 2540, 1946, 616, 11959, 865, 19856, 656, 1851, 1153, 2469, 1453, 269, 6732, 1557, 948, 13027, 6547, 1299, 11959, 281, 3123, 1299, 2126, 3744, 616, 1869, 2324, 593, 7114, 519, 3169, 2188, 799, 3123, 11959, 543, 269, 25326, 14711, 4367, 281, 476, 1556, 1018, 568, 606, 14711, 950, 6534, 547, 1978, 4914, 6878, 267, 513, 5114, 3217, 1747, 538, 938, 4761, 1062, 269, 4014, 972, 616, 1896, 2009, 3123, 267, 930, 1455, 3536, 31251, 5798, 267, 5144, 267, 1317, 540, 519, 1164, 1297, 540, 26253, 2550, 945, 723, 1426, 11959, 27260, 5649, 713, 1557, 593, 3123, 540, 11959, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 543, 811, 269, 1323, 7650, 540, 1426, 14711, 2589, 267, 5868, 267, 2126, 543, 2359, 2854, 543, 12649, 676, 519, 3056, 4966, 538, 14711, 267, 10447, 543, 6375, 1108, 269, 3212, 534, 583, 11959, 1557, 1519, 519, 3114, 1277, 8533, 267, 799, 3123, 1082, 540, 519, 2589, 540, 519, 13027, 5114, 563, 290, 1021, 543, 1198, 1557, 1923, 7792, 4528, 1923, 4214, 281, 538, 713, 2186, 540, 1557, 267, 519, 2832, 568, 547, 2491, 519, 3123, 630, 516, 3517, 264, 610, 519, 2360, 630, 29798, 264, 540, 606, 2680, 610, 269, 4279, 4015, 540, 1957, 1603, 10274, 543, 1863, 5439, 2307, 938, 4966, 547, 1205, 1603, 948, 10505, 707, 1557, 585, 2079, 269, 634, 7998, 540, 11959, 29165, 546, 1446, 344, 8115, 4248, 1533, 2852, 4386, 513, 2034, 610, 2663, 4598, 547, 519, 6784, 523, 3123, 519, 782, 518, 563, 2691, 513, 1268, 568, 12155, 547, 11959, 267, 3346, 609, 606, 6784, 523, 3123, 513, 5114, 1369, 3764, 610, 3108, 274, 513, 2013, 811, 827, 1557, 593, 11959, 543, 13027, 6547, 269, 1548, 3123, 1426, 14711, 1426, 11959, 2049, 950, 519, 4761, 1062, 4410, 338, 606, 4323, 593, 1978, 5946, 538, 1978, 3536, 519, 6878, 538, 519, 1426, 602, 2014, 269, 7085, 687, 540, 22988, 267, 1519, 1082, 3214, 267, 723, 606, 14711, 1265, 856, 875, 11959, 616, 8995, 543, 875, 547, 1832, 873, 896, 1852, 269, 3503, 513, 3818, 21299, 12819, 1557, 538, 799, 519, 5856, 9607, 24113, 11959, 910, 3123, 543, 3435, 269, 0, 15152, 1699, 4972, 540, 16470, 7939, 267, 519, 1585, 3334, 540, 519, 772, 2529, 269, 20331, 17086, 723, 513, 1305, 1931, 540, 9972, 640, 269, 6201, 540, 519, 946, 540, 713, 1062, 1331, 519, 4159, 540, 3028, 17514, 267, 13307, 540, 22307, 4536, 267, 3057, 1149, 267, 590, 841, 832, 267, 589, 3305, 523, 543, 11076, 2871, 1841, 5443, 538, 5250, 267, 3092, 269, 1879, 519, 11076, 15050, 4927, 7500, 607, 851, 540, 519, 4972, 540, 519, 13108, 267, 2136, 2276, 11076, 15050, 9142, 20017, 1115, 267, 519, 2136, 2276, 11076, 15050, 543, 519, 11076, 15050, 15944, 4927, 1491, 9551, 775, 1310, 2136, 2276, 25220, 9142, 544, 1749, 1222, 5443, 282, 519, 2136, 2276, 13108, 282, 543, 13108, 15944, 267, 6606, 563, 10376, 3028, 814, 513, 7833, 539, 2212, 945, 568, 2808, 519, 5207, 8573, 21403, 11464, 1369, 741, 9757, 3028, 267, 609, 519, 9868, 540, 519, 28579, 543, 13030, 28579, 540, 519, 17434, 12751, 338, 540, 16065, 267, 543, 519, 8783, 540, 519, 2817, 15050, 13163, 269, 1358, 616, 3743, 585, 4180, 10986, 22026, 267, 3609, 267, 4058, 543, 2866, 543, 30015, 741, 9757, 4108, 2533, 585, 519, 8396, 656, 4971, 619, 547, 8415, 269, 1358, 849, 4196, 607, 9972, 4108, 31548, 547, 519, 5518, 267, 519, 14199, 540, 16470, 267, 741, 9757, 3028, 5728, 2456, 267, 607, 1134, 607, 824, 5646, 15078, 789, 949, 581, 1572, 547, 4196, 593, 269, 1358, 616, 607, 5205, 912, 7212, 6140, 7255, 609, 519, 4108, 3560, 267, 607, 513, 1797, 540, 6765, 1210, 1114, 12331, 540, 3560, 282, 689, 4108, 18114, 267, 547, 8708, 9635, 5665, 689, 8628, 4108, 3490, 267, 621, 849, 3322, 2870, 2361, 3761, 546, 7927, 693, 519, 15493, 540, 519, 8396, 7997, 267, 543, 1256, 4464, 3761, 2798, 538, 1808, 1770, 781, 570, 716, 673, 9351, 540, 26930, 269, 0, 289, 17879, 1630, 12002, 910, 519, 5763, 5006, 543, 1034, 3742, 5108, 538, 1686, 910, 949, 581, 25461, 609, 3723, 532, 519, 3915, 585, 8375, 10304, 3790, 519, 8360, 2501, 689, 519, 4224, 7566, 4332, 2557, 538, 519, 7178, 538, 519, 1296, 1310, 1158, 2112, 1079, 538, 519, 721, 538, 476, 4350, 280, 267, 972, 941, 476, 866, 24570, 829, 476, 272, 267, 1822, 540, 519, 2551, 269, 17926, 1630, 12002, 899, 547, 3409, 713, 5075, 776, 585, 741, 1378, 12404, 1309, 1632, 630, 322, 25699, 264, 1934, 781, 513, 1413, 693, 2947, 5481, 540, 22988, 538, 519, 476, 736, 628, 2540, 281, 519, 6574, 5108, 630, 528, 19819, 5108, 1070, 519, 14980, 5108, 267, 4816, 1630, 12002, 267, 5108, 1535, 543, 15940, 10118, 269, 4855, 856, 811, 827, 519, 5458, 910, 543, 5458, 569, 9565, 910, 5108, 540, 22988, 4535, 1282, 519, 2022, 8996, 2112, 13797, 1974, 1063, 476, 3707, 277, 543, 476, 3422, 275, 269, 9502, 543, 5758, 540, 519, 4816, 1630, 12002, 5758, 543, 4214, 281, 519, 2551, 540, 519, 8087, 2829, 1011, 10757, 1310, 32685, 273, 543, 519, 4332, 3433, 4797, 547, 4473, 693, 519, 1439, 540, 519, 737, 17671, 2112, 538, 476, 4198, 275, 855, 1287, 7444, 17379, 607, 519, 7819, 9525, 538, 519, 642, 28126, 3459, 547, 2333, 269, 17926, 1630, 12002, 1291, 519, 1259, 538, 19220, 540, 782, 1346, 5010, 338, 18995, 32668, 19622, 15185, 267, 1034, 540, 721, 2731, 1810, 1405, 621, 781, 1100, 4898, 519, 4816, 1630, 9593, 5108, 568, 556, 8586, 519, 4214, 540, 16468, 676, 11173, 547, 960, 2687, 547, 1098, 15330, 3821, 4099, 585, 16468, 2090, 267, 10199, 476, 274, 856, 540, 476, 276, 4816, 563, 1103, 519, 8087, 2829, 267, 1920, 19721, 19210, 1416, 7283, 2757, 2394, 519, 13524, 2540, 7210, 1416, 9447, 676, 824, 982, 1920, 543, 2673, 29872, 1734, 729, 3622, 3908, 547, 8623, 12515, 543, 726, 8046, 602, 21237, 25626, 998, 10034, 543, 4872, 607, 519, 4816, 22820, 5108, 6502, 269, 17926, 1630, 12002, 4816, 1630, 12002, 616, 782, 1346, 4535, 538, 519, 8087, 2829, 476, 1063, 476, 3707, 277, 543, 476, 3422, 275, 972, 616, 5111, 29235, 5991, 710, 2929, 4816, 1630, 12002, 538, 519, 8087, 2829, 693, 519, 4098, 540, 519, 8938, 23867, 2540, 281, 827, 476, 3066, 2600, 540, 519, 2698, 2551, 269, 17926, 1630, 12002, 281, 593, 713, 267, 1100, 835, 3081, 621, 1732, 982, 519, 751, 25393, 281, 1346, 4535, 538, 519, 1296, 1310, 519, 824, 3368, 540, 519, 5108, 729, 4535, 1063, 476, 4198, 277, 543, 476, 3422, 275, 543, 568, 1572, 3735, 1630, 12002, 267, 610, 1034, 3314, 1373, 538, 1153, 1510, 5904, 543, 1287, 1310, 267, 519, 4367, 540, 5904, 538, 269, 634, 1630, 12002, 723, 1500, 2386, 602, 789, 2933, 786, 2661, 1279, 543, 10653, 267, 855, 1152, 693, 519, 13258, 540, 741, 15556, 1775, 1589, 602, 519, 3586, 8594, 540, 6046, 3045, 8811, 7976, 543, 519, 14941, 18566, 593, 26725, 543, 5925, 540, 519, 865, 341, 2884, 3463, 6659, 938, 4339, 1922, 2775, 26756, 865, 602, 930, 540, 721, 2968, 22350, 18762, 563, 2026, 519, 4816, 1630, 12002, 28869, 2509, 16468, 2085, 267, 513, 1966, 2501, 538, 4816, 1630, 12002, 8057, 909, 538, 513, 5108, 602, 1185, 1164, 13922, 585, 519, 2104, 540, 741, 2197, 811, 1004, 1611, 1405, 811, 2069, 267, 2362, 2157, 540, 4747, 543, 3976, 811, 9140, 543, 7836, 982, 1022, 3105, 5481, 538, 1686, 269, 17926, 1630, 12002, 2648, 9011, 1645, 7820, 5481, 855, 519, 1249, 3788, 267, 789, 616, 519, 10782, 5108, 676, 513, 5458, 14345, 1249, 281, 621, 729, 519, 4816, 1630, 12002, 945, 267, 5103, 1373, 6659, 676, 519, 6574, 5108, 11214, 1612, 331, 26359, 519, 5763, 540, 519, 6574, 5108, 883, 2870, 543, 563, 763, 1630, 12002, 5795, 721, 737, 322, 543, 519, 24106, 6512, 7064, 513, 2603, 15490, 5310, 621, 568, 513, 3787, 540, 606, 936, 8063, 618, 930, 2828, 540, 9553, 723, 6700, 1630, 9593, 2797, 543, 2804, 2418, 6603, 741, 1034, 3501, 4082, 896, 840, 1532, 7112, 518, 7022, 678, 10735, 556, 12298, 538, 519, 5216, 625, 281, 17684, 269, 1879, 1347, 331, 2940, 546, 673, 690, 3266, 5030, 4805, 538, 606, 19887, 538, 1216, 26165, 267, 1352, 6785, 9039, 540, 1200, 12543, 1775, 5433, 24949, 543, 9678, 267, 3081, 519, 476, 7871, 4458, 6040, 267, 513, 14828, 23070, 693, 8350, 2917, 6280, 855, 2094, 9140, 513, 1269, 15996, 267, 1822, 267, 476, 10384, 30026, 20356, 1753, 693, 4342, 601, 582, 16649, 17639, 538, 10874, 4802, 2185, 1296, 3516, 269, 6904, 568, 4277, 267, 2094, 1630, 12002, 4535, 538, 476, 3707, 277, 2611, 607, 5258, 20833, 607, 519, 1964, 540, 519, 713, 4313, 609, 7963, 4564, 519, 1630, 9593, 5108, 781, 1898, 6138, 281, 2661, 585, 2221, 585, 6148, 519, 1101, 942, 538, 1480, 1686, 972, 568, 513, 2631, 602, 972, 568, 513, 2603, 540, 3154, 2451, 538, 519, 7382, 267, 512, 11336, 563, 27908, 3317, 10118, 267, 945, 616, 15810, 547, 20546, 4816, 1630, 12002, 1985, 1032, 607, 519, 8087, 2829, 262, 4102, 2713, 2937, 5108, 267, 616, 849, 16042, 519, 1630, 12002, 538, 741, 2671, 540, 519, 7819, 1528, 28672, 607, 540, 562, 4912, 476, 1001, 277, 267, 606, 6059, 476, 7830, 2929, 15940, 10118, 630, 611, 6699, 6502, 476, 736, 547, 476, 3374, 538, 476, 1001, 277, 264, 941, 13359, 21943, 269, 17926, 1630, 12002, 538, 519, 8087, 2829, 616, 811, 2693, 982, 519, 3105, 5108, 547, 723, 513, 9659, 607, 789, 2282, 3735, 3734, 267, 2303, 513, 3395, 1297, 540, 3173, 7700, 547, 519, 7771, 941, 1312, 513, 6749, 538, 519, 11841, 540, 9659, 543, 513, 4473, 538, 519, 4960, 540, 6051, 689, 513, 771, 29058, 2783, 269, 17926, 1630, 12002, 616, 2404, 609, 513, 18349, 610, 28196, 6873, 540, 2757, 2418, 1630, 12002, 8057, 909, 693, 513, 942, 540, 10565, 1514, 1689, 538, 519, 8087, 2829, 267, 602, 1689, 6825, 519, 607, 804, 18311, 986, 1149, 2798, 856, 538, 3564, 5108, 1535, 267, 2760, 1354, 538, 1686, 1185, 6107, 1044, 865, 4998, 1242, 607, 789, 941, 563, 289, 17879, 1630, 12002, 781, 530, 5942, 281, 4816, 1630, 12002, 616, 519, 15295, 20165, 1739, 519, 14980, 5108, 972, 616, 1100, 5730, 7389, 585, 950, 713, 20165, 6238, 610, 538, 519, 8087, 2829, 267, 602, 1689, 6825, 519, 5108, 609, 513, 2178, 2686, 1579, 822, 720, 267, 1063, 519, 28288, 540, 1689, 543, 519, 811, 269, 2136, 2829, 1686, 519, 2165, 4816, 22820, 568, 1031, 547, 2697, 513, 7372, 2333, 538, 24570, 1739, 1158, 2112, 13797, 4816, 1630, 12002, 616, 1346, 1004, 4535, 5001, 1063, 476, 3707, 277, 543, 476, 3422, 275, 267, 519, 942, 7406, 1034, 4122, 1031, 547, 5581, 873, 563, 763, 4816, 1630, 12002, 4718, 1312, 513, 942, 540, 1390, 991, 543, 1390, 13884, 1082, 540, 891, 1004, 14754, 519, 2766, 15134, 540, 519, 1390, 519, 4816, 1630, 12002, 941, 513, 28306, 5108, 602, 6068, 547, 8673, 18290, 543, 946, 20369, 32676, 923, 789, 8179, 31768, 538, 2247, 17038, 18146, 2829, 267, 8754, 519, 4128, 1946, 269, 17926, 1630, 12002, 941, 4535, 538, 606, 5736, 602, 4810, 1390, 721, 2797, 543, 1514, 30331, 10052, 689, 5198, 27632, 1824, 547, 519, 3540, 2924, 3350, 267, 642, 28126, 543, 267, 676, 476, 1960, 280, 267, 741, 5207, 2551, 1459, 538, 519, 8087, 2829, 729, 476, 4281, 279, 2929, 1004, 713, 849, 2882, 1346, 945, 6294, 3603, 547, 519, 2197, 269, 634, 8087, 2829, 14829, 17531, 15109, 513, 4816, 1630, 9593, 547, 581, 2576, 4535, 1282, 519, 15295, 4332, 22820, 1063, 476, 3707, 277, 543, 476, 3422, 275, 513, 5619, 1336, 602, 827, 3368, 540, 4816, 1630, 12002, 1135, 1194, 538, 519, 8087, 2829, 723, 7150, 602, 789, 1131, 2864, 1780, 593, 741, 18472, 607, 17493, 563, 289, 17879, 1630, 12002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4989, 27578, 267, 570, 4673, 15609, 267, 570, 2350, 773, 5062, 289, 20183, 267, 19958, 30709, 871, 328, 267, 22189, 645, 893, 2023, 645, 25484, 289, 293, 313, 5611, 1315, 8111, 2006, 5288, 269, 634, 4432, 924, 630, 10521, 5937, 4593, 7981, 9990, 264, 1315, 6723, 1715, 828, 333, 267, 11090, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 623, 879, 2917, 3131, 4958, 974, 267, 11090, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 28120, 2311, 7219, 13560, 525, 267, 11090, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 1546, 324, 17659, 2917, 22823, 267, 11090, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 17076, 7790, 7790, 267, 744, 27932, 24434, 267, 11090, 26509, 13440, 1758, 1242, 2912, 1329, 1356, 908, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 2912, 1329, 1356, 908, 7790, 7790, 267, 623, 294, 268, 1724, 630, 21122, 531, 30334, 21909, 539, 264, 476, 14689, 278, 7176, 275, 3607, 272, 1315, 476, 7818, 268, 14689, 278, 7176, 275, 3607, 273, 1315, 1975, 5390, 23618, 633, 12267, 910, 476, 6187, 270, 6078, 281, 23874, 5600, 3465, 757, 281, 1315, 3807, 514, 8865, 267, 3627, 623, 269, 717, 18365, 2581, 267, 28741, 853, 269, 24381, 267, 32632, 14480, 333, 267, 7917, 15776, 12340, 5617, 12661, 267, 9546, 2023, 27578, 267, 18412, 20307, 267, 4498, 2917, 700, 269, 7040, 267, 6754, 670, 13860, 267, 12254, 2782, 1676, 476, 14028, 30203, 29616, 311, 1315, 476, 7818, 268, 14028, 30203, 29616, 274, 1315, 14168, 10798, 1136, 17943, 281, 589, 623, 5417, 1782, 18361, 585, 519, 7414, 19566, 1315, 27722, 7982, 331, 1495, 267, 6754, 27578, 476, 6942, 29889, 8099, 311, 1315, 476, 7818, 268, 6942, 29889, 8099, 280, 1315, 13159, 14871, 781, 6651, 281, 21208, 517, 674, 273, 630, 295, 913, 7073, 4147, 923, 10022, 264, 1315, 6754, 1290, 517, 476, 14689, 278, 7176, 4510, 280, 274, 1315, 476, 7818, 268, 14689, 278, 7176, 4510, 280, 273, 1315, 1975, 5390, 23618, 633, 12267, 910, 476, 1556, 270, 5655, 281, 23874, 5600, 3465, 757, 281, 1315, 7917, 15776, 12340, 5617, 12661, 267, 3627, 24138, 267, 3627, 31722, 267, 7665, 3026, 12291, 267, 681, 11053, 269, 2904, 333, 731, 267, 9546, 2023, 27578, 267, 6754, 670, 13860, 267, 5261, 5463, 4405, 476, 6021, 277, 279, 4281, 6812, 272, 277, 1315, 476, 7818, 268, 6021, 277, 279, 4281, 6812, 272, 273, 1315, 14168, 10798, 6033, 281, 589, 6651, 547, 700, 4660, 25746, 26551, 6816, 623, 5417, 1782, 1315, 6754, 27578, 267, 27722, 7982, 331, 1495, 645, 23669, 307, 271, 305, 308, 7246, 1315, 634, 2470, 2534, 3988, 1862, 1315, 6754, 27578, 269, 15593, 2006, 267, 6276, 8381, 1189, 267, 29885, 645, 16573, 297, 312, 304, 304, 9590, 1315, 634, 7186, 11314, 22419, 3883, 9050, 281, 3047, 543, 21708, 1315, 6754, 27578, 543, 6276, 8381, 1189, 15593, 2006, 29885, 476, 271, 4817, 31746, 20862, 275, 1315, 476, 7818, 268, 271, 4817, 31746, 20862, 279, 1315, 7827, 3399, 338, 689, 10738, 1315, 6754, 30370, 27578, 476, 15886, 13670, 4649, 275, 276, 1315, 476, 7818, 268, 15886, 13670, 4649, 275, 273, 1315, 11628, 21474, 540, 8535, 10748, 2747, 1315, 3798, 7773, 661, 269, 23583, 454, 763, 3804, 540, 713, 3896, 568, 547, 948, 6300, 11825, 5635, 1433, 5777, 689, 1114, 454, 341, 754, 832, 1315, 23965, 543, 1265, 10464, 2835, 543, 10464, 2852, 9499, 269, 3509, 10958, 454, 9248, 543, 10958, 1257, 2835, 616, 2322, 593, 9042, 676, 31680, 1433, 21625, 543, 454, 4134, 12248, 29481, 4948, 269, 2353, 596, 991, 547, 798, 568, 547, 3406, 543, 1265, 873, 269, 901, 454, 338, 924, 849, 2488, 1082, 1433, 6402, 547, 930, 2101, 29481, 585, 1433, 3877, 543, 454, 1504, 19420, 976, 269, 1809, 581, 2386, 711, 3533, 7914, 883, 1022, 21869, 648, 3135, 547, 4444, 269, 11408, 454, 28781, 834, 24718, 12313, 257, 7735, 547, 5635, 5777, 1101, 269, 1411, 1131, 581, 6126, 454, 7474, 875, 1454, 596, 1131, 4688, 676, 3257, 1433, 3902, 6476, 563, 24246, 13242, 7734, 543, 13242, 7956, 9248, 454, 2005, 781, 4742, 811, 543, 811, 2442, 547, 4444, 1031, 2835, 543, 1031, 9499, 1851, 454, 3712, 5076, 1053, 585, 9494, 269, 7756, 2034, 1688, 2835, 689, 1114, 23965, 454, 16673, 723, 1114, 2175, 269, 5269, 2386, 547, 2638, 1031, 1433, 2783, 689, 519, 454, 31805, 781, 6609, 269, 4746, 1082, 1433, 2344, 17541, 2322, 2835, 585, 9042, 689, 1507, 454, 1504, 560, 2803, 543, 1367, 23965, 269, 5269, 2386, 547, 2638, 4558, 2689, 585, 22673, 781, 454, 516, 1584, 566, 952, 2009, 269, 1403, 596, 616, 538, 513, 31657, 547, 1205, 513, 1433, 610, 1837, 585, 707, 454, 5035, 267, 596, 1058, 3442, 9140, 1007, 2835, 585, 5401, 11288, 563, 24246, 7734, 689, 14579, 13474, 454, 5978, 3804, 568, 547, 3533, 1265, 519, 10464, 652, 2835, 543, 2852, 9499, 585, 596, 2676, 18485, 1007, 543, 1031, 267, 689, 513, 1804, 1297, 540, 29481, 5001, 269, 17497, 938, 454, 1504, 3406, 9817, 30321, 1433, 5777, 689, 2475, 267, 4516, 267, 5177, 267, 1715, 10215, 267, 5245, 2676, 301, 5930, 4133, 267, 5333, 267, 8581, 267, 5125, 267, 543, 3567, 269, 2859, 29481, 689, 824, 2477, 454, 15884, 581, 3773, 4166, 269, 6969, 9140, 689, 513, 4914, 1433, 4558, 610, 1433, 6300, 267, 581, 2386, 454, 1729, 2638, 519, 11288, 3681, 269, 898, 781, 711, 8966, 602, 11288, 1223, 1491, 1079, 547, 454, 22764, 4374, 543, 1942, 1223, 581, 2789, 540, 513, 6469, 11288, 5279, 563, 8923, 3643, 6435, 8525, 585, 5999, 454, 2958, 8973, 9768, 1315, 9768, 268, 1015, 1315, 9768, 1015, 267, 9768, 268, 1724, 1315, 9768, 1724, 267, 661, 3198, 1315, 661, 3198, 268, 1724, 267, 543, 8835, 0, 24342, 476, 272, 1700, 1015, 540, 476, 5379, 585, 834, 14399, 781, 3883, 257, 311, 1644, 547, 834, 288, 1007, 1259, 547, 8396, 14882, 257, 4676, 710, 2659, 9612, 4676, 710, 2659, 9612, 13445, 14399, 630, 3607, 264, 10387, 10899, 1072, 630, 1556, 264, 5938, 839, 630, 280, 264, 19733, 630, 277, 264, 5719, 987, 1299, 12955, 630, 275, 264, 476, 1704, 811, 1862, 1496, 266, 316, 20150, 630, 274, 264, 11514, 1464, 630, 274, 264, 21122, 532, 630, 274, 264, 31094, 1275, 630, 274, 264, 4696, 8461, 630, 273, 264, 29590, 630, 273, 264, 17951, 518, 630, 272, 264, 2304, 3806, 630, 272, 264, 31624, 2391, 630, 272, 264, 12831, 1833, 630, 272, 264, 13981, 1299, 3965, 630, 272, 264, 8070, 32034, 13262, 13081, 630, 272, 264, 306, 1506, 1145, 630, 272, 264, 28036, 630, 272, 264, 306, 1636, 1299, 3635, 630, 272, 264, 763, 2805, 630, 272, 264, 9199, 6373, 630, 272, 264, 295, 728, 3877, 291, 17805, 7392, 14399, 781, 3883, 311, 17413, 1001, 275, 630, 273, 264, 1001, 274, 630, 1556, 264, 1001, 273, 630, 280, 264, 1001, 272, 630, 1321, 264, 1001, 271, 630, 1015, 264, 12041, 270, 6944, 1026, 12460, 289, 3317, 9116, 267, 20999, 808, 269, 630, 273, 264, 289, 13453, 650, 517, 267, 21280, 19902, 630, 273, 264, 289, 690, 1228, 267, 12756, 630, 273, 264, 294, 518, 22641, 267, 1975, 833, 630, 273, 264, 294, 1484, 6199, 267, 645, 569, 1492, 630, 273, 264, 476, 7597, 811, 1862, 1496, 266, 316, 1772, 3832, 267, 21563, 534, 630, 273, 264, 299, 600, 807, 267, 6307, 595, 269, 630, 273, 264, 300, 1601, 267, 654, 754, 344, 700, 269, 630, 273, 264, 3849, 514, 6504, 328, 267, 11835, 25486, 630, 272, 264, 288, 618, 320, 267, 8176, 589, 269, 8633, 630, 272, 264, 4517, 4319, 338, 267, 21861, 630, 272, 264, 25486, 684, 17844, 1092, 267, 13191, 630, 272, 264, 6635, 2548, 320, 267, 3057, 542, 630, 272, 264, 289, 753, 577, 267, 4477, 8615, 630, 272, 264, 21574, 828, 267, 21861, 630, 272, 264, 289, 3430, 15120, 267, 2441, 710, 630, 272, 264, 13051, 5025, 14741, 267, 772, 17844, 630, 272, 264, 6826, 2643, 267, 8176, 630, 272, 264, 290, 664, 267, 22526, 590, 269, 630, 272, 264, 24445, 1512, 267, 21322, 268, 3674, 8475, 548, 630, 272, 264, 290, 11732, 1470, 267, 7812, 589, 269, 630, 272, 264, 2419, 836, 267, 670, 2801, 11860, 344, 2426, 630, 272, 264, 290, 571, 591, 267, 3057, 3250, 320, 3057, 3626, 630, 272, 264, 1372, 700, 652, 8565, 267, 3397, 333, 11726, 338, 630, 272, 264, 5719, 299, 1075, 320, 5025, 764, 18223, 267, 28120, 630, 272, 264, 291, 527, 332, 1513, 267, 3057, 756, 996, 681, 269, 630, 272, 264, 291, 21779, 267, 17906, 630, 272, 264, 291, 665, 2086, 334, 267, 4406, 4997, 630, 272, 264, 292, 6277, 601, 518, 267, 11518, 630, 272, 264, 26466, 14657, 267, 1849, 18311, 589, 269, 645, 269, 630, 272, 264, 293, 3072, 2006, 267, 7225, 603, 630, 272, 264, 10908, 817, 518, 267, 1546, 6277, 773, 630, 272, 264, 10908, 817, 518, 267, 7225, 603, 631, 269, 630, 272, 264, 24836, 767, 267, 4432, 1047, 630, 272, 264, 3891, 1156, 31000, 267, 17125, 569, 630, 272, 264, 295, 797, 267, 6401, 344, 918, 269, 630, 272, 264, 13202, 27688, 267, 26081, 345, 630, 272, 264, 298, 574, 267, 595, 1815, 559, 630, 272, 264, 298, 574, 267, 808, 5622, 11860, 344, 2426, 630, 272, 264, 298, 574, 267, 8479, 5025, 327, 630, 272, 264, 298, 25184, 1633, 267, 918, 15811, 630, 272, 264, 299, 655, 333, 4593, 919, 267, 630, 272, 264, 299, 5271, 1231, 267, 9995, 571, 630, 272, 264, 299, 984, 2421, 267, 23413, 630, 272, 264, 299, 340, 17980, 267, 6424, 630, 272, 264, 30538, 1512, 267, 769, 3455, 630, 272, 264, 300, 7159, 1633, 267, 634, 25564, 661, 269, 700, 4768, 773, 630, 272, 264, 300, 22462, 267, 570, 878, 807, 630, 272, 264, 22709, 517, 267, 7788, 1157, 630, 272, 264, 9288, 839, 267, 6480, 16279, 630, 272, 264, 301, 1228, 879, 267, 22186, 22220, 717, 269, 630, 272, 264, 10468, 574, 1046, 267, 808, 650, 630, 272, 264, 301, 655, 10098, 742, 267, 16205, 630, 272, 264, 303, 792, 576, 267, 14161, 630, 272, 264, 303, 21034, 267, 595, 776, 630, 272, 264, 303, 514, 22088, 267, 589, 1067, 15282, 630, 272, 264, 303, 3326, 752, 267, 3933, 11986, 630, 272, 264, 303, 537, 4802, 267, 1656, 872, 630, 272, 264, 5226, 4883, 267, 4793, 878, 807, 744, 269, 630, 272, 264, 305, 334, 1122, 4536, 267, 631, 7596, 630, 272, 264, 305, 889, 18315, 267, 19846, 333, 630, 272, 264, 306, 15939, 1030, 518, 267, 8176, 661, 269, 630, 272, 264, 306, 7770, 1188, 267, 14667, 630, 272, 264, 4537, 514, 267, 808, 328, 268, 3383, 334, 630, 272, 264, 306, 850, 334, 267, 7671, 808, 269, 630, 272, 264, 8245, 17745, 267, 19375, 630, 272, 264, 306, 651, 611, 267, 7917, 630, 272, 264, 306, 1181, 267, 7225, 603, 631, 269, 630, 272, 264, 1805, 571, 639, 267, 19626, 10787, 828, 630, 272, 264, 1320, 15106, 267, 6424, 630, 272, 264, 307, 756, 334, 267, 717, 14792, 630, 272, 264, 307, 517, 518, 267, 10496, 638, 5202, 645, 269, 630, 272, 264, 2171, 10719, 267, 3057, 3250, 320, 25234, 584, 630, 272, 264, 310, 523, 27688, 267, 18000, 10937, 630, 272, 264, 295, 728, 3877, 11778, 476, 272, 1700, 1015, 540, 476, 5379, 19881, 476, 272, 476, 273, 476, 274, 3267, 8921, 25684, 7170, 589, 19053, 7170, 2098, 5025, 1715, 652, 3689, 6196, 652, 3689, 23037, 676, 281, 476, 272, 269, 6124, 17718, 267, 1715, 26657, 281, 589, 6651, 547, 25021, 543, 22732, 532, 12140, 1607, 1433, 3947, 3214, 519, 1202, 543, 16080, 540, 10188, 1007, 10450, 267, 1818, 1007, 2828, 630, 553, 1134, 607, 9363, 538, 5905, 609, 2025, 3283, 1070, 543, 4466, 513, 1747, 602, 7959, 899, 741, 1378, 269, 14399, 781, 3883, 630, 20826, 476, 1001, 272, 264, 273, 6993, 8414, 24051, 1607, 568, 513, 1650, 540, 6043, 267, 27277, 267, 543, 4126, 269, 634, 1272, 1650, 540, 513, 11058, 543, 922, 1585, 5411, 14550, 875, 7231, 609, 14922, 906, 543, 17173, 3871, 568, 2629, 547, 835, 781, 1134, 5630, 269, 14399, 781, 3883, 630, 20826, 476, 1001, 274, 264, 274, 269, 4942, 850, 553, 781, 674, 28232, 281, 589, 9452, 6168, 8682, 268, 2750, 16054, 4942, 850, 553, 779, 674, 28232, 8761, 519, 1379, 540, 1893, 543, 1582, 22325, 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 ]
[ 563, 763, 681, 584, 1735, 328, 918, 839, 327, 514, 30841, 814, 936, 476, 3583, 2929, 12215, 538, 10009, 607, 540, 476, 1001, 275, 267, 1818, 621, 835, 540, 519, 1655, 5498, 29818, 30841, 3126, 267, 1247, 922, 30682, 814, 19486, 1851, 519, 476, 1911, 1034, 14478, 3126, 538, 3567, 2789, 2053, 269, 634, 3126, 814, 4607, 17192, 543, 9880, 689, 1585, 12326, 585, 30841, 267, 30682, 543, 824, 2923, 267, 609, 1312, 2348, 4607, 1434, 3210, 593, 519, 3197, 262, 6272, 543, 3140, 4259, 269, 769, 476, 1001, 278, 267, 654, 1846, 25431, 3459, 513, 1463, 3524, 601, 11331, 681, 584, 1735, 328, 918, 839, 327, 514, 281, 634, 670, 758, 330, 4660, 334, 20211, 538, 30180, 12384, 10611, 16230, 333, 514, 454, 288, 678, 16230, 333, 514, 630, 418, 369, 359, 32512, 267, 834, 323, 17287, 614, 257, 610, 834, 342, 663, 19907, 8442, 729, 513, 7663, 29718, 1510, 513, 18459, 610, 4487, 1282, 519, 32540, 1974, 630, 14093, 276, 1700, 5908, 279, 264, 540, 3567, 269, 589, 7663, 29718, 2968, 4487, 1652, 2390, 519, 2669, 540, 1010, 4487, 267, 610, 1310, 519, 2530, 540, 1010, 4487, 781, 3870, 610, 17979, 16638, 2413, 5545, 6165, 267, 3006, 519, 2165, 568, 1031, 547, 4766, 513, 14057, 2006, 945, 568, 32014, 610, 513, 6281, 1153, 10927, 945, 814, 711, 2943, 1044, 15861, 547, 6280, 2529, 600, 29718, 16422, 680, 5622, 454, 21579, 29718, 16422, 680, 5622, 630, 30153, 281, 476, 11210, 369, 12530, 510, 12530, 358, 11210, 353, 12530, 479, 12530, 352, 12530, 367, 12530, 501, 12530, 360, 12530, 376, 267, 22031, 14315, 281, 6341, 29718, 26960, 20580, 19476, 1070, 18935, 1242, 607, 590, 4456, 308, 6938, 296, 8863, 4456, 12195, 302, 302, 267, 568, 513, 5545, 30682, 3126, 2919, 676, 631, 836, 331, 12786, 269, 898, 12286, 513, 2504, 2319, 3366, 676, 8689, 1744, 514, 747, 597, 16230, 20242, 534, 23042, 267, 1915, 14704, 20673, 19513, 26981, 1794, 11867, 543, 7344, 14704, 10067, 10098, 8575, 20364, 269, 6341, 29718, 16422, 680, 5622, 729, 20242, 534, 23042, 781, 1101, 1463, 3645, 4674, 585, 606, 30682, 8613, 3126, 1310, 519, 9691, 28601, 21582, 24742, 2142, 321, 641, 269, 898, 729, 1101, 13739, 538, 3567, 593, 17540, 10202, 7641, 593, 2904, 476, 736, 267, 476, 1220, 275, 543, 10443, 585, 8938, 29350, 14501, 2394, 922, 3932, 593, 4728, 476, 866, 267, 476, 1220, 276, 563, 21579, 29718, 16422, 680, 5622, 568, 1305, 538, 606, 14595, 4528, 540, 3798, 334, 268, 5028, 630, 8182, 274, 547, 476, 5908, 279, 264, 3567, 609, 606, 606, 778, 1258, 2065, 267, 15866, 12048, 5577, 267, 4259, 269, 898, 5205, 631, 1872, 523, 267, 606, 791, 644, 550, 543, 5191, 2000, 8221, 13112, 7949, 32639, 2006, 282, 29883, 267, 513, 7768, 543, 588, 18757, 678, 16230, 333, 514, 282, 543, 17540, 340, 267, 513, 12703, 8004, 945, 12134, 873, 547, 13173, 1200, 538, 1200, 1391, 2066, 3567, 547, 1265, 519, 834, 338, 600, 29718, 945, 24462, 540, 3141, 25154, 8487, 21579, 29718, 16422, 680, 5622, 814, 1082, 10486, 547, 1744, 514, 747, 597, 16230, 20242, 534, 23042, 781, 824, 960, 21582, 24742, 2142, 321, 641, 269, 5637, 3126, 616, 9691, 28601, 267, 1445, 593, 11544, 11964, 267, 1246, 606, 8398, 21288, 2239, 1374, 267, 543, 946, 4207, 2575, 2529, 600, 29718, 16422, 680, 5622, 729, 29805, 538, 519, 2296, 1893, 543, 13931, 676, 22319, 517, 30007, 585, 13847, 538, 3345, 3013, 269, 8342, 11582, 3459, 24416, 519, 3126, 1310, 22319, 517, 30403, 2504, 540, 922, 10643, 269, 898, 729, 849, 13931, 585, 2296, 13847, 538, 519, 2136, 8003, 676, 631, 30470, 8606, 916, 267, 543, 538, 5245, 543, 1715, 10215, 676, 8496, 2006, 30007, 2529, 600, 29718, 10793, 454, 21579, 29718, 10793, 568, 606, 1977, 2962, 14194, 1203, 675, 19347, 8613, 3126, 2813, 676, 2637, 526, 344, 570, 691, 752, 990, 20391, 585, 14295, 3019, 8416, 269, 898, 5205, 834, 31568, 2580, 606, 796, 24887, 5545, 7663, 29718, 945, 267, 1310, 5176, 9396, 908, 519, 10700, 9409, 1373, 1634, 607, 13019, 340, 267, 568, 2366, 4464, 538, 942, 676, 1864, 547, 513, 29711, 1014, 2104, 12199, 676, 519, 28112, 2335, 673, 3337, 6879, 14823, 27313, 269, 10793, 267, 945, 568, 4547, 547, 519, 2104, 609, 1152, 513, 18156, 267, 513, 887, 2041, 267, 543, 5070, 1023, 267, 1391, 338, 547, 2951, 1394, 538, 942, 543, 14710, 13019, 340, 1354, 646, 666, 1491, 936, 519, 1158, 269, 10793, 781, 3406, 585, 513, 1259, 1394, 547, 1010, 1378, 942, 1974, 25186, 13019, 340, 781, 1852, 267, 855, 10793, 781, 3646, 616, 7361, 538, 642, 664, 1813, 547, 519, 2081, 1394, 547, 1010, 1753, 1373, 1175, 856, 540, 1010, 3914, 563, 307, 691, 752, 990, 20391, 22885, 6341, 29718, 10793, 1310, 18138, 1010, 960, 593, 1010, 1101, 14295, 3019, 8416, 3312, 3126, 267, 667, 1410, 614, 781, 12524, 267, 799, 6566, 328, 1229, 538, 476, 1960, 277, 269, 6341, 29718, 10793, 729, 6273, 676, 570, 691, 752, 990, 20391, 781, 18399, 540, 519, 918, 2426, 17540, 751, 4582, 2213, 12416, 588, 18732, 6424, 2961, 2784, 710, 607, 1134, 607, 1010, 22906, 609, 7663, 29718, 2528, 269, 2201, 4864, 476, 1015, 267, 476, 1220, 272, 267, 6341, 29718, 10793, 6566, 328, 1229, 609, 513, 1614, 12268, 1500, 16519, 6874, 309, 7260, 1572, 634, 2776, 14741, 699, 28414, 269, 898, 10443, 585, 2185, 12405, 9967, 540, 24369, 14501, 3284, 19991, 2394, 5181, 476, 1839, 267, 476, 1220, 275, 267, 1510, 25759, 519, 1650, 269, 589, 25954, 729, 3812, 12964, 1296, 2663, 267, 4611, 538, 513, 11359, 4005, 602, 3177, 513, 3932, 547, 519, 936, 31186, 1650, 269, 634, 11359, 4005, 6566, 328, 1229, 593, 16989, 4210, 574, 781, 1677, 517, 9564, 3625, 593, 4728, 476, 1556, 267, 476, 1001, 278, 267, 543, 519, 3803, 12558, 267, 799, 6039, 607, 519, 3126, 3803, 324, 267, 513, 1600, 593, 2904, 476, 736, 267, 476, 1001, 278, 269, 6341, 29718, 10793, 14501, 616, 9859, 676, 570, 691, 752, 990, 20391, 267, 1419, 538, 5698, 609, 1866, 563, 763, 3126, 814, 21959, 1229, 2565, 1035, 8010, 267, 543, 4465, 5216, 10021, 8135, 2506, 3240, 22952, 267, 1519, 4934, 9227, 1323, 13846, 5358, 267, 607, 1134, 607, 3670, 7788, 773, 22952, 543, 606, 744, 8656, 293, 13815, 2529, 600, 29718, 1744, 617, 1144, 454, 21579, 29718, 1744, 617, 1144, 630, 21579, 29718, 9454, 1080, 538, 3567, 264, 568, 513, 8165, 3014, 3126, 676, 19301, 298, 269, 769, 3567, 267, 519, 2012, 540, 519, 3126, 568, 13166, 538, 737, 520, 752, 3570, 267, 855, 568, 1419, 2854, 538, 737, 534, 10202, 630, 28032, 491, 421, 511, 480, 267, 7663, 29718, 23984, 1662, 4512, 1070, 609, 519, 2034, 1915, 14733, 647, 2869, 527, 1206, 340, 267, 834, 338, 2869, 1080, 2580, 547, 1732, 2992, 519, 3014, 781, 4259, 2529, 600, 29718, 21576, 454, 2419, 534, 321, 4673, 630, 12530, 479, 12530, 352, 12530, 367, 12530, 494, 12530, 358, 1070, 849, 4122, 25250, 834, 577, 3711, 4673, 2580, 2495, 834, 1873, 867, 8165, 257, 9413, 267, 18575, 519, 5545, 4670, 9135, 1572, 7663, 29718, 21576, 538, 2296, 543, 568, 10199, 6697, 547, 7262, 10800, 24742, 543, 2220, 1662, 321, 3089, 2401, 8874, 269, 26960, 321, 4673, 568, 513, 1016, 2275, 14394, 540, 795, 5866, 580, 2131, 328, 267, 799, 1226, 919, 547, 1974, 12416, 269, 808, 5866, 580, 2131, 328, 949, 3277, 547, 513, 1650, 1305, 538, 606, 3140, 1974, 267, 1498, 711, 8209, 7231, 609, 513, 7663, 29718, 1915, 610, 18995, 18156, 2452, 563, 4407, 4505, 7663, 29718, 1974, 4773, 941, 811, 10565, 2864, 982, 2962, 2861, 267, 7663, 29718, 9413, 3812, 2022, 2622, 2782, 4083, 723, 1831, 811, 2962, 2861, 267, 609, 18632, 543, 811, 10795, 3197, 269, 5403, 2112, 7663, 29718, 3134, 923, 22157, 547, 9446, 2618, 10999, 610, 9308, 10077, 1042, 21847, 269, 13019, 4275, 918, 1755, 338, 11867, 18935, 1242, 543, 27105, 2669, 543, 5208, 538, 7663, 29718, 3134, 923, 269, 3571, 7663, 29718, 267, 543, 1082, 1866, 17814, 538, 4670, 267, 941, 22072, 5515, 267, 811, 1419, 7255, 609, 10703, 2718, 741, 19831, 5759, 267, 2864, 982, 6029, 873, 1055, 269, 30399, 267, 519, 9135, 568, 2356, 1305, 1282, 519, 15480, 1872, 11867, 5736, 630, 8182, 271, 1700, 5908, 279, 1040, 634, 7663, 29718, 4670, 8754, 1419, 6212, 593, 519, 1439, 540, 606, 3003, 1259, 540, 1272, 585, 519, 7663, 29718, 281, 1082, 540, 519, 8874, 4308, 609, 4487, 1652, 678, 16230, 333, 514, 267, 610, 7663, 29718, 7231, 609, 2242, 547, 741, 4567, 4611, 689, 513, 4657, 2486, 563, 21579, 29718, 8874, 941, 7683, 1500, 883, 519, 2038, 476, 3192, 271, 338, 267, 855, 676, 1287, 267, 21467, 343, 17068, 593, 8613, 267, 519, 10172, 540, 519, 2462, 6801, 540, 519, 9135, 267, 543, 519, 4797, 7771, 540, 519, 13416, 5545, 4670, 2872, 2322, 513, 26699, 547, 1034, 540, 519, 2504, 540, 713, 9135, 2529, 324, 653, 4157, 340, 454, 5353, 653, 4157, 340, 630, 30153, 281, 476, 10254, 485, 420, 483, 373, 267, 834, 12827, 1154, 1496, 1492, 316, 17987, 19823, 3006, 5219, 547, 607, 3771, 752, 21105, 630, 420, 483, 373, 10254, 485, 11210, 488, 267, 834, 629, 323, 1580, 270, 10964, 569, 5969, 2580, 513, 5065, 5545, 737, 684, 2542, 1070, 568, 513, 1106, 540, 5545, 9161, 11980, 676, 771, 10603, 578, 601, 618, 269, 898, 729, 8385, 11603, 585, 7663, 29718, 267, 855, 729, 849, 13736, 676, 824, 5545, 1004, 2663, 593, 547, 11177, 8956, 585, 2933, 610, 585, 741, 1920, 269, 589, 7663, 29718, 2259, 267, 694, 653, 4157, 340, 729, 1031, 2901, 32380, 676, 7663, 29718, 547, 5884, 609, 8956, 2864, 982, 2887, 883, 519, 3946, 540, 741, 14763, 630, 663, 2693, 581, 12475, 3293, 1070, 607, 513, 1106, 540, 3854, 10751, 585, 7663, 29718, 945, 1185, 8149, 3978, 1055, 5151, 267, 610, 5340, 1317, 789, 1185, 4547, 17847, 547, 2933, 269, 634, 30060, 771, 10603, 578, 601, 618, 267, 799, 568, 2356, 851, 540, 513, 811, 14969, 9161, 543, 5340, 538, 4395, 540, 4715, 2209, 267, 5161, 540, 32168, 532, 513, 2110, 16405, 267, 12926, 513, 21915, 16230, 267, 883, 519, 17987, 543, 5373, 519, 16405, 689, 2451, 547, 1318, 267, 14253, 532, 519, 17987, 1930, 269, 1403, 519, 2759, 568, 5340, 7184, 2614, 621, 666, 1812, 519, 27312, 513, 677, 320, 267, 4929, 513, 4028, 2669, 676, 1973, 2530, 2529, 16838, 6341, 29718, 454, 5353, 1597, 6341, 29718, 630, 4970, 481, 32512, 28374, 28032, 491, 267, 1744, 747, 514, 514, 1100, 6341, 29718, 264, 568, 513, 476, 4198, 275, 5545, 12473, 7663, 29718, 12416, 4670, 1071, 27787, 267, 12995, 267, 543, 9859, 676, 13019, 4275, 918, 1755, 338, 11867, 269, 634, 1650, 3217, 1747, 538, 476, 15647, 277, 1282, 519, 590, 1263, 18602, 11270, 540, 5545, 1686, 269, 898, 5205, 519, 1650, 540, 513, 8498, 540, 6705, 602, 16926, 5722, 678, 16230, 333, 514, 630, 24490, 1652, 7663, 29718, 264, 547, 8396, 6512, 1080, 945, 786, 2132, 1310, 519, 7556, 547, 21102, 741, 7031, 563, 7712, 922, 5305, 267, 18599, 6341, 29718, 814, 9846, 19486, 3810, 538, 13915, 262, 8638, 540, 519, 6574, 8874, 267, 971, 607, 519, 645, 293, 296, 781, 590, 697, 1299, 14675, 543, 681, 13516, 8751, 10633, 1135, 3149, 269, 898, 729, 849, 20366, 519, 6574, 4914, 25082, 4670, 538, 18917, 781, 476, 1001, 279, 3486, 13915, 262, 3542, 269, 898, 814, 7283, 3810, 9565, 267, 1419, 2938, 607, 835, 540, 519, 1034, 834, 8145, 1228, 267, 556, 1740, 539, 267, 26518, 257, 8874, 538, 21576, 2529, 559, 591, 6341, 29718, 454, 22068, 591, 6341, 29718, 568, 519, 2012, 540, 1079, 1114, 14070, 3197, 17729, 538, 1977, 13371, 2835, 3370, 676, 31733, 22383, 269, 634, 1101, 18234, 6341, 29718, 267, 8230, 340, 747, 1470, 4498, 3385, 267, 729, 1101, 3254, 538, 667, 732, 22563, 559, 1948, 9340, 630, 20809, 476, 3192, 275, 1070, 2813, 676, 5856, 19378, 15168, 828, 543, 7376, 7585, 9466, 269, 634, 2034, 18234, 6341, 29718, 267, 1744, 514, 4498, 3385, 267, 568, 519, 5067, 540, 519, 3312, 18234, 6341, 29718, 543, 7902, 538, 26728, 591, 710, 1948, 4968, 267, 2813, 676, 26778, 26826, 563, 298, 523, 340, 747, 1470, 4498, 3385, 729, 519, 5067, 540, 27459, 650, 664, 1744, 532, 523, 962, 1662, 5866, 543, 729, 513, 30354, 609, 519, 1379, 547, 5279, 513, 15576, 3570, 269, 21231, 267, 646, 5249, 607, 513, 21534, 18911, 577, 2006, 543, 1560, 31384, 269, 1261, 2663, 4646, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 2073, 585, 1383, 267, 26961, 658, 1102, 541, 794, 630, 11085, 1070, 13119, 267, 8482, 267, 693, 7434, 27417, 20746, 267, 24405, 2670, 610, 19473, 29912, 267, 543, 1776, 2619, 3098, 267, 585, 1383, 267, 25687, 610, 3987, 269, 17934, 2280, 11852, 4249, 606, 1271, 1909, 538, 519, 1646, 540, 519, 1114, 27690, 9025, 3871, 5018, 1657, 269, 2201, 519, 824, 1688, 267, 538, 3871, 971, 607, 25687, 267, 6676, 2280, 11852, 949, 581, 513, 12343, 540, 519, 2068, 269, 769, 835, 1259, 610, 1776, 267, 6676, 2280, 11852, 568, 1898, 538, 891, 2619, 3098, 543, 11465, 23978, 1223, 581, 1031, 607, 513, 7636, 24750, 518, 540, 713, 1184, 4586, 14741, 23978, 267, 4171, 4082, 538, 6676, 7410, 568, 931, 839, 1302, 1164, 267, 723, 1044, 4330, 607, 4830, 31036, 538, 595, 13748, 269, 1280, 1383, 267, 1577, 268, 278, 575, 543, 11465, 305, 268, 4489, 616, 4830, 31036, 540, 5312, 8459, 2068, 1851, 2550, 609, 13119, 1547, 4746, 267, 11465, 305, 268, 2420, 543, 11465, 305, 268, 23417, 941, 4389, 538, 29998, 2400, 2550, 609, 9025, 28658, 1373, 11874, 17047, 609, 30918, 4301, 1973, 2604, 269, 5015, 267, 11465, 305, 268, 14695, 2157, 941, 22566, 540, 9025, 2068, 538, 713, 3461, 20165, 1547, 11465, 305, 268, 2641, 814, 1044, 7152, 547, 21391, 12982, 6114, 538, 519, 2038, 5123, 540, 24696, 676, 13389, 918, 6630, 9720, 278, 543, 10556, 532, 631, 298, 298, 274, 270, 277, 11852, 538, 4761, 2281, 267, 799, 13604, 15286, 7050, 10077, 5250, 543, 5355, 13487, 1599, 538, 8983, 4586, 288, 2027, 2446, 1058, 581, 1500, 540, 11465, 305, 268, 23417, 267, 10731, 569, 6829, 538, 6676, 7410, 543, 3810, 9571, 538, 11919, 269, 901, 11465, 11748, 814, 1044, 3238, 538, 519, 31630, 540, 1114, 9025, 3676, 998, 922, 1198, 538, 6676, 2280, 2746, 2032, 543, 538, 32361, 2281, 1496, 7176, 267, 476, 4200, 4940, 5015, 267, 11465, 305, 268, 23417, 949, 1831, 513, 27680, 540, 519, 12117, 540, 4550, 13807, 622, 2280, 3797, 267, 2094, 621, 729, 4330, 602, 21883, 11465, 305, 268, 23417, 949, 4196, 607, 513, 3209, 24750, 518, 547, 2708, 804, 641, 573, 690, 7758, 30506, 538, 21050, 13908, 24308, 1875, 4149, 307, 15038, 8650, 18337, 6794, 2550, 1547, 4475, 267, 6676, 2280, 23402, 11465, 23978, 723, 1044, 1644, 609, 1114, 9025, 3676, 543, 1522, 723, 1271, 5107, 607, 31036, 711, 1152, 585, 9025, 2068, 18687, 267, 855, 849, 585, 922, 23567, 543, 2126, 563, 7661, 267, 543, 607, 5018, 1657, 267, 6676, 7410, 23402, 11465, 23978, 666, 849, 581, 5363, 689, 519, 1448, 540, 2070, 540, 31036, 538, 824, 27690, 3871, 971, 607, 25687, 610, 3987, 269, 9741, 568, 1634, 827, 519, 7939, 540, 11465, 23978, 538, 6676, 7410, 282, 2175, 971, 607, 25687, 949, 1404, 606, 1271, 1909, 269, 11569, 267, 23170, 6676, 7410, 4951, 606, 12012, 11465, 11748, 9043, 543, 4389, 6676, 2280, 11465, 305, 268, 2918, 321, 17047, 609, 25687, 10335, 543, 9019, 1547, 4475, 267, 621, 1223, 1831, 513, 3730, 24750, 518, 547, 5815, 519, 1164, 1533, 540, 6676, 2280, 11852, 538, 713, 2068, 269, 4033, 27690, 2175, 949, 849, 7369, 11465, 11748, 2157, 543, 1764, 6676, 2280, 1599, 269, 769, 3987, 267, 1608, 335, 664, 267, 799, 568, 2799, 538, 6676, 7410, 267, 949, 1579, 1511, 667, 545, 518, 267, 13302, 519, 2157, 540, 1896, 11465, 23978, 971, 607, 11465, 305, 268, 23417, 602, 949, 1860, 6198, 9072, 971, 607, 519, 1625, 514, 21544, 5084, 303, 13805, 623, 273, 312, 1321, 267, 6038, 5009, 519, 1646, 540, 24405, 2670, 1496, 866, 267, 476, 9262, 4940, 4033, 11465, 23978, 941, 849, 1336, 547, 581, 12012, 538, 3987, 269, 3171, 329, 525, 1696, 620, 269, 4951, 602, 11465, 305, 268, 2918, 321, 2157, 941, 4389, 538, 20336, 273, 2550, 609, 606, 1764, 538, 519, 2157, 540, 590, 5085, 303, 4586, 278, 269, 12833, 9876, 618, 540, 6676, 7410, 538, 954, 14978, 2792, 454, 14110, 338, 941, 4362, 676, 8834, 16423, 538, 476, 3422, 278, 543, 3957, 607, 968, 30066, 7410, 7452, 892, 1547, 12601, 338, 616, 10416, 5258, 883, 608, 22199, 267, 2348, 519, 10545, 8006, 2450, 689, 476, 1789, 547, 476, 1911, 16354, 282, 26586, 5328, 4703, 267, 799, 616, 3677, 538, 2450, 630, 272, 1700, 276, 32755, 1070, 5950, 1282, 30091, 282, 543, 2890, 1407, 2873, 610, 25132, 14895, 8151, 538, 2450, 689, 476, 271, 269, 272, 547, 476, 272, 32755, 269, 12130, 1886, 14895, 616, 1591, 23402, 5738, 2873, 602, 3668, 519, 10991, 4390, 543, 949, 2270, 5946, 267, 544, 23978, 267, 11465, 23978, 267, 543, 11118, 25063, 3334, 269, 17934, 2280, 23402, 25132, 14895, 630, 303, 6573, 338, 264, 616, 519, 1034, 10731, 25132, 14895, 538, 10009, 543, 789, 666, 581, 3812, 689, 6676, 2280, 3294, 610, 689, 19251, 752, 776, 14231, 269, 7131, 5655, 31956, 7131, 6078, 266, 7131, 8618, 266, 270, 7374, 4029, 6629, 616, 930, 2627, 12508, 547, 2697, 623, 6573, 338, 267, 543, 8485, 520, 573, 2643, 338, 518, 710, 4598, 538, 519, 2627, 282, 6466, 7131, 8287, 568, 513, 15262, 585, 6676, 2280, 608, 22199, 1547, 623, 6573, 338, 723, 1114, 3252, 543, 666, 581, 5950, 31380, 4470, 593, 14668, 2862, 15512, 274, 5043, 514, 543, 11118, 25063, 24826, 269, 17934, 7410, 11852, 10597, 631, 11679, 17766, 267, 543, 4470, 593, 519, 17003, 610, 2566, 267, 3604, 538, 631, 11679, 18535, 610, 1297, 723, 1044, 6353, 269, 11569, 267, 2799, 623, 6573, 338, 723, 1044, 4330, 538, 26961, 658, 1102, 541, 794, 267, 13119, 267, 24405, 2670, 267, 25687, 267, 3987, 267, 543, 824, 2619, 3098, 269, 3958, 267, 519, 6676, 2280, 11852, 609, 1114, 30748, 1235, 4951, 602, 11465, 305, 268, 23417, 729, 519, 1034, 10731, 11465, 11748, 538, 782, 5439, 267, 543, 476, 5379, 11465, 23978, 941, 1455, 547, 782, 2175, 269, 1323, 23918, 540, 891, 476, 5379, 11465, 23978, 630, 514, 1880, 267, 11465, 305, 268, 26493, 320, 543, 11465, 305, 268, 2641, 264, 729, 4767, 538, 623, 6573, 338, 3379, 609, 6676, 2280, 18535, 269, 21452, 267, 6676, 2280, 11852, 676, 10911, 303, 630, 25897, 9654, 30748, 626, 264, 6383, 2185, 19507, 811, 5738, 2873, 982, 519, 14242, 609, 5084, 303, 267, 24315, 272, 267, 610, 24315, 275, 269, 5015, 267, 6676, 7410, 25623, 609, 555, 668, 16535, 8774, 631, 11679, 5627, 17985, 302, 273, 543, 11465, 305, 268, 23417, 23838, 602, 941, 4835, 1242, 676, 32361, 2281, 630, 4488, 338, 264, 13389, 930, 6090, 971, 607, 674, 289, 311, 310, 543, 31246, 2793, 272, 1547, 11569, 267, 11465, 305, 268, 23417, 689, 623, 6573, 338, 14931, 10566, 338, 30091, 13389, 7378, 6438, 2208, 3815, 476, 272, 13805, 1547, 1452, 631, 11679, 941, 849, 4835, 1242, 676, 10566, 338, 28738, 6002, 538, 2528, 1547, 12830, 569, 267, 623, 6573, 338, 616, 711, 1152, 15399, 2586, 676, 32361, 2281, 269, 1452, 25132, 14895, 1404, 1114, 5107, 538, 30243, 1637, 543, 24405, 2670, 267, 4761, 3210, 543, 32361, 6845, 525, 12412, 543, 27978, 269, 4935, 267, 623, 6573, 338, 5627, 11465, 305, 268, 14695, 268, 274, 335, 941, 4835, 1242, 676, 31457, 5355, 741, 943, 698, 7514, 6776, 4390, 267, 543, 15725, 544, 23978, 540, 29299, 610, 2447, 758, 1149, 1547, 17934, 7410, 849, 723, 513, 1909, 3564, 646, 2865, 12118, 899, 2860, 269, 9747, 267, 6676, 7410, 543, 623, 6573, 338, 616, 1271, 538, 10510, 11144, 269, 21007, 305, 268, 23417, 689, 623, 6573, 338, 2799, 538, 5761, 2860, 2550, 5009, 922, 12289, 1547, 1717, 267, 7812, 1696, 620, 269, 723, 4330, 602, 623, 6573, 338, 941, 22467, 3603, 538, 519, 4396, 10510, 5009, 10510, 2281, 30091, 998, 22629, 540, 24197, 1599, 676, 11465, 305, 268, 2190, 267, 835, 540, 519, 1034, 10731, 11465, 23978, 538, 891, 631, 11679, 4586, 5522, 622, 7410, 23402, 608, 22199, 849, 723, 606, 1271, 1909, 538, 11465, 11748, 1098, 12401, 269, 26736, 2742, 608, 22199, 23353, 538, 11465, 305, 268, 23417, 267, 11465, 305, 268, 26552, 267, 543, 11465, 305, 268, 2641, 941, 8774, 1354, 24405, 2670, 538, 513, 23296, 2670, 9597, 710, 2203, 267, 4611, 849, 2799, 538, 6676, 7410, 689, 513, 9597, 710, 23296, 2670, 2203, 1354, 24405, 2670, 269, 1452, 11465, 23978, 941, 11843, 547, 15466, 5347, 4887, 2281, 630, 309, 306, 10157, 338, 264, 32485, 19113, 294, 15709, 15512, 267, 3238, 538, 10408, 18735, 1547, 634, 22629, 540, 19113, 294, 15709, 15512, 729, 4767, 538, 24155, 607, 1134, 1547, 11048, 267, 2098, 1263, 543, 32283, 619, 1336, 602, 15181, 6676, 2280, 4835, 1436, 676, 966, 306, 10157, 338, 2864, 982, 631, 11679, 2799, 11465, 305, 268, 23417, 2157, 5009, 966, 306, 10157, 338, 15285, 269, 17934, 7410, 689, 15847, 8983, 1185, 4389, 11465, 305, 268, 23417, 2157, 543, 18867, 2799, 966, 306, 10157, 338, 5409, 25936, 4586, 763, 7613, 540, 8880, 11465, 11748, 1098, 12401, 676, 6676, 7410, 543, 2890, 1407, 2873, 4835, 1436, 676, 10566, 338, 267, 31457, 267, 966, 306, 10157, 338, 267, 2860, 2281, 267, 543, 824, 2281, 814, 1044, 4330, 538, 14817, 14231, 15725, 741, 18735, 1547, 2920, 17300, 6676, 7410, 1813, 547, 26961, 658, 1102, 541, 794, 6336, 519, 4082, 540, 1808, 11465, 23978, 269, 4935, 267, 930, 540, 891, 11465, 23978, 941, 11843, 547, 10566, 338, 538, 513, 2890, 1407, 1834, 17466, 6073, 269, 769, 1880, 267, 11465, 305, 268, 17168, 321, 729, 11843, 547, 10566, 338, 15725, 519, 4082, 540, 15096, 4456, 268, 272, 1110, 6819, 28455, 547, 741, 2627, 1547, 4475, 267, 6676, 2280, 11465, 11748, 1098, 12401, 814, 513, 11358, 1909, 538, 519, 3310, 540, 954, 14978, 15202, 543, 5444, 4082, 1065, 5766, 1090, 2719, 540, 1114, 2281, 543, 538, 1114, 2619, 19398, 8344, 3871, 269, 5047, 267, 649, 3112, 23868, 519, 6932, 1909, 540, 824, 1875, 322, 5317, 681, 18456, 971, 607, 962, 23978, 267, 1279, 1875, 322, 5317, 681, 18456, 267, 543, 9764, 681, 18456, 538, 6676, 7410, 543, 538, 519, 954, 14978, 2792, 476, 630, 7612, 476, 274, 30155, 8624, 937, 1947, 267, 519, 1239, 4843, 538, 713, 3184, 5815, 602, 11465, 23978, 723, 513, 11358, 1909, 538, 782, 6676, 2280, 2829, 267, 689, 741, 5108, 15725, 19251, 752, 776, 14231, 30553, 267, 5631, 998, 16606, 2188, 547, 741, 1599, 12018, 6676, 2280, 3210, 896, 11852, 630, 7612, 476, 274, 15426, 21452, 267, 11465, 23978, 616, 1271, 711, 1152, 585, 6676, 2280, 7350, 267, 855, 849, 1317, 789, 2992, 519, 6676, 2280, 4567, 269, 4935, 267, 6676, 2280, 11465, 23978, 616, 1031, 607, 31036, 585, 27690, 3871, 610, 4550, 13807, 622, 2280, 3797, 1317, 789, 2099, 519, 2101, 9295, 547, 21883, 11465, 11748, 7535, 269, 5047, 267, 11465, 23978, 689, 6676, 7410, 949, 10038, 519, 1599, 540, 1866, 2281, 630, 309, 306, 10157, 267, 10566, 338, 267, 4761, 2281, 267, 610, 10510, 2281, 264, 676, 954, 14978, 2792, 5631, 998, 25132, 14895, 269, 4935, 267, 6676, 2280, 11465, 23978, 723, 513, 1390, 1761, 585, 2104, 1382, 607, 9354, 2645, 543, 607, 31036, 540, 2068, 269, 3958, 267, 741, 1909, 607, 1110, 22399, 540, 6676, 2280, 1599, 1869, 814, 547, 581, 4628, 11567, 547, 6166, 602, 741, 4527, 538, 6676, 7410, 568, 711, 513, 6071, 18472, 689, 631, 298, 338, 609, 1022, 1483, 1764, 538, 6676, 2280, 7350, 563, 1607, 960, 729, 6462, 676, 2382, 527, 19513, 632, 6428, 644, 24883, 8633, 543, 674, 32121, 2342, 334, 632, 2677, 541, 2651, 334, 13636, 630, 293, 3633, 2207, 282, 9886, 1100, 269, 28697, 1240, 270, 31648, 277, 282, 28697, 1704, 270, 22650, 272, 264, 543, 8750, 24265, 590, 2946, 928, 8619, 630, 2735, 10463, 27798, 2207, 300, 270, 1428, 282, 476, 18684, 4510, 32434, 299, 296, 270, 1240, 1916, 18183, 12787, 540, 1719, 454, 763, 4589, 17551, 1100, 4655, 540, 1719, 269, 0, 8070, 7121, 281, 26576, 545, 14330, 304, 306, 8070, 8292, 281, 271, 22227, 304, 541, 3019, 729, 513, 14951, 337, 267, 646, 729, 538, 519, 12081, 540, 21024, 286, 589, 269, 590, 2544, 2006, 630, 288, 2529, 264, 289, 269, 594, 3630, 29538, 630, 288, 2529, 264, 290, 269, 4053, 320, 630, 288, 2529, 264, 291, 269, 962, 26698, 334, 984, 630, 288, 2529, 264, 18704, 713, 281, 12812, 547, 2671, 593, 12108, 630, 28926, 839, 538, 1007, 6885, 264, 12812, 547, 2671, 593, 9365, 630, 28926, 839, 538, 1007, 6885, 264, 1411, 631, 697, 4746, 6145, 634, 1101, 661, 573, 27138, 331, 5025, 345, 21036, 538, 5771, 729, 9976, 593, 286, 5130, 476, 273, 267, 476, 1708, 271, 18171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4658, 5808, 2422, 4658, 453, 1220, 277, 453, 453, 13670, 276, 454, 5780, 280, 272, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 570, 1941, 9737, 5565, 670, 20087, 338, 453, 1220, 277, 453, 453, 15171, 275, 454, 5780, 280, 273, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 6153, 717, 14709, 476, 7323, 667, 14709, 453, 1220, 277, 453, 453, 13670, 276, 454, 5780, 280, 274, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 3427, 344, 10089, 569, 453, 1220, 277, 453, 453, 13670, 277, 454, 5780, 280, 275, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 1284, 3657, 7731, 281, 3767, 5192, 2725, 2368, 4826, 256, 453, 1220, 277, 453, 453, 13670, 276, 454, 5780, 280, 276, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 3733, 15196, 23136, 781, 12722, 543, 1703, 781, 22167, 3534, 2142, 24410, 1076, 453, 1220, 277, 453, 453, 13670, 276, 454, 5780, 280, 277, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 32124, 621, 2142, 453, 1220, 277, 453, 453, 13670, 276, 454, 5780, 280, 278, 453, 295, 20087, 23497, 281, 17897, 476, 273, 453, 1220, 278, 453, 274, 269, 273, 28768, 5780, 280, 279, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 14068, 631, 5366, 29547, 453, 1220, 277, 453, 453, 13670, 277, 454, 5780, 280, 280, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 3911, 20635, 6145, 24635, 590, 749, 719, 453, 1220, 277, 453, 453, 13670, 277, 454, 277, 3583, 271, 453, 295, 20087, 23497, 281, 17897, 476, 272, 281, 634, 16740, 565, 17121, 540, 2725, 453, 1220, 277, 453, 453, 13670, 277, 454, 277, 3583, 272, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 1411, 3657, 1924, 590, 826, 268, 762, 547, 2725, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 3583, 273, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 595, 32332, 4024, 5901, 2974, 8625, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 3583, 274, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 2725, 543, 22656, 13560, 676, 519, 3427, 962, 731, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 3583, 275, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 667, 611, 781, 7982, 453, 1220, 276, 453, 453, 13670, 277, 454, 277, 3583, 276, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 8285, 693, 519, 23621, 17980, 453, 1220, 276, 453, 453, 13670, 277, 454, 277, 3583, 277, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 918, 1170, 525, 543, 31336, 4252, 453, 1220, 276, 453, 453, 13670, 277, 454, 277, 3583, 278, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 15815, 582, 2659, 13574, 5020, 453, 1220, 276, 453, 453, 13670, 277, 454, 277, 3583, 279, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 12724, 1117, 453, 1220, 276, 453, 453, 13670, 277, 454, 277, 3583, 280, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 20497, 6601, 6545, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 272, 271, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 11785, 31054, 453, 1220, 276, 453, 453, 15946, 272, 454, 6858, 272, 272, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 453, 1220, 277, 453, 274, 269, 278, 28768, 6858, 272, 273, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 744, 9536, 21676, 1255, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 274, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 3943, 476, 6200, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 275, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 4303, 5516, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 276, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 1261, 1188, 781, 28881, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 277, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 5131, 570, 2089, 344, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 278, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 5983, 591, 1773, 4660, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 279, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 30760, 453, 1220, 277, 453, 453, 13670, 277, 454, 6858, 272, 280, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 273, 281, 631, 846, 2421, 781, 8262, 19656, 453, 1220, 277, 453, 453, 13670, 276, 454, 6858, 273, 271, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 16140, 539, 593, 519, 476, 2537, 6113, 4469, 3233, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 272, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 23392, 28018, 528, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 273, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 14272, 331, 29141, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 274, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 13584, 1299, 258, 4343, 282, 1773, 2426, 518, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 275, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 17020, 538, 11785, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 276, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 589, 8871, 9452, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 277, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 1677, 595, 2255, 513, 774, 3971, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 278, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 595, 1328, 3619, 525, 547, 8805, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 279, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 18648, 9741, 6762, 21756, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 273, 280, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 898, 781, 513, 8496, 476, 8496, 476, 8496, 23392, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 274, 271, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 681, 636, 832, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 274, 272, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 13648, 514, 262, 609, 19151, 1299, 258, 4343, 282, 19201, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 274, 273, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 9412, 10060, 538, 519, 5600, 453, 1220, 276, 453, 453, 9610, 272, 454, 6858, 274, 274, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 8262, 22458, 543, 28473, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 274, 275, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 26415, 540, 476, 277, 1724, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 274, 276, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 12829, 1299, 258, 4343, 282, 12829, 19907, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 274, 277, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 1635, 324, 1635, 324, 11831, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 274, 278, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 630, 2171, 2811, 1924, 590, 13446, 264, 1133, 2193, 23778, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 274, 279, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 700, 11035, 781, 16474, 13201, 20944, 898, 3619, 514, 262, 2201, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 274, 280, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 594, 4024, 11408, 10753, 7752, 1411, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 275, 271, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 634, 10158, 1284, 20290, 654, 7967, 1405, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 275, 272, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 13056, 790, 560, 540, 23067, 2353, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 275, 273, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 631, 5417, 773, 4258, 4242, 769, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 275, 274, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 453, 1220, 276, 453, 274, 269, 278, 28768, 6858, 275, 275, 453, 763, 2672, 924, 5020, 540, 2098, 871, 1299, 258, 4343, 282, 595, 1328, 281, 17897, 476, 272, 281, 23392, 670, 836, 719, 453, 1220, 276, 453, 453, 13670, 277, 454, 6858, 275, 276, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 1411, 717, 27198, 3502, 674, 697, 585, 2659, 9406, 547, 9549, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 275, 277, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 594, 2549, 670, 20087, 476, 670, 792, 2725, 15867, 752, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 275, 278, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 5192, 13560, 476, 5530, 268, 644, 344, 268, 644, 344, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 275, 279, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 589, 16408, 25455, 344, 9839, 281, 3487, 476, 273, 453, 1220, 278, 453, 453, 13670, 274, 454, 6858, 275, 280, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 589, 16408, 25455, 344, 9839, 281, 3487, 476, 272, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 271, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 6875, 901, 16763, 543, 11146, 898, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 272, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 3733, 7454, 31541, 781, 15196, 23136, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 273, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 5272, 7853, 12984, 7454, 31541, 674, 18017, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 274, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 594, 21763, 1411, 547, 21763, 2725, 1862, 2414, 3619, 547, 8419, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 275, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 1879, 1411, 654, 880, 1411, 21518, 519, 10060, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 276, 453, 295, 20087, 23497, 281, 17897, 476, 273, 281, 12619, 19769, 901, 10158, 453, 1220, 278, 453, 453, 13670, 274, 454, 277, 4037, 277, 453, 295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5615, 7018, 585, 513, 2601, 269, 18918, 4600, 538, 513, 6643, 3823, 741, 2623, 543, 2119, 547, 3313, 875, 596, 666, 1655, 10994, 519, 4128, 1946, 621, 5949, 538, 519, 1101, 1747, 563, 5591, 835, 4566, 593, 3478, 13676, 593, 519, 2816, 543, 2870, 513, 2318, 3106, 2528, 585, 707, 4600, 666, 948, 20427, 2569, 519, 8458, 540, 4896, 3478, 10413, 269, 1403, 707, 2754, 568, 5461, 538, 1739, 513, 10263, 9122, 8881, 1982, 267, 1832, 835, 3364, 538, 2247, 281, 645, 7034, 3884, 1405, 834, 639, 5288, 873, 2668, 645, 7034, 1797, 3025, 2324, 1927, 547, 1832, 1142, 824, 2922, 563, 5475, 7598, 645, 7034, 11675, 585, 513, 1247, 267, 596, 2811, 2469, 547, 1265, 3054, 609, 606, 11606, 540, 3638, 543, 3730, 1239, 256, 1411, 666, 946, 713, 1239, 538, 1896, 2081, 547, 3136, 547, 3501, 707, 3106, 1982, 563, 2791, 949, 1265, 602, 596, 3513, 2744, 4030, 883, 519, 4641, 540, 519, 3106, 693, 707, 3919, 269, 1280, 1383, 267, 952, 1896, 4600, 616, 7900, 519, 3169, 1482, 22247, 2623, 267, 596, 4312, 1175, 2322, 707, 9416, 593, 513, 7934, 538, 707, 3106, 1982, 269, 634, 1239, 666, 849, 4217, 596, 950, 8989, 10913, 267, 21130, 9441, 2866, 267, 543, 824, 3106, 7341, 563, 6826, 8326, 17325, 725, 15484, 676, 4518, 327, 889, 454, 2791, 949, 581, 6998, 3054, 267, 1141, 798, 594, 2594, 891, 7422, 286, 1215, 666, 594, 3950, 3356, 3927, 888, 2005, 949, 581, 513, 1434, 2856, 547, 2936, 513, 3106, 2359, 3301, 602, 786, 1683, 596, 609, 513, 3760, 547, 2594, 7422, 883, 543, 1118, 9477, 543, 7421, 1239, 4443, 269, 4518, 327, 889, 779, 10263, 17325, 725, 1907, 2306, 7598, 645, 7034, 11675, 883, 707, 3106, 1982, 5393, 2241, 269, 634, 1907, 2636, 596, 547, 1711, 543, 3651, 7422, 2189, 547, 707, 9036, 585, 1142, 540, 707, 4600, 543, 3950, 1312, 2922, 543, 22247, 5615, 269, 1635, 3844, 1944, 707, 645, 7034, 302, 6054, 267, 621, 2636, 585, 15774, 3356, 9477, 540, 1142, 11832, 543, 5849, 5812, 10220, 538, 707, 9036, 563, 19400, 938, 1357, 14373, 593, 10263, 9122, 8881, 17325, 725, 1934, 585, 811, 9623, 2336, 13480, 327, 889, 25075, 1938, 513, 2347, 1072, 543, 3106, 10220, 3301, 602, 2636, 2653, 2359, 540, 2866, 267, 5773, 267, 4507, 267, 24422, 267, 543, 811, 267, 21438, 538, 835, 2653, 3562, 14025, 13398, 563, 5319, 1444, 267, 1072, 267, 543, 3106, 630, 292, 9391, 264, 9946, 616, 2141, 3168, 585, 2081, 602, 789, 666, 11574, 1981, 267, 1491, 15324, 2962, 1996, 1761, 10898, 543, 13685, 267, 543, 2087, 741, 2754, 779, 2949, 3106, 2528, 269, 10263, 2861, 3106, 630, 289, 7034, 264, 568, 606, 2500, 1907, 602, 666, 581, 2322, 547, 946, 538, 8236, 782, 540, 891, 3853, 563, 301, 641, 874, 517, 318, 2735, 278, 1315, 1744, 13616, 18450, 2593, 454, 15368, 1227, 267, 645, 7034, 568, 513, 1505, 540, 9319, 1480, 5470, 543, 5355, 9036, 3106, 676, 11287, 543, 7421, 5520, 685, 2623, 1247, 789, 960, 269, 2913, 779, 1491, 513, 1413, 693, 930, 540, 519, 1883, 2035, 540, 645, 7034, 267, 2059, 609, 3527, 661, 9391, 9946, 543, 4648, 666, 1491, 547, 2322, 519, 2035, 547, 6225, 946, 693, 741, 3906, 563, 6524, 649, 1205, 3323, 267, 2705, 267, 649, 1590, 1101, 11168, 835, 3364, 538, 1931, 547, 7006, 601, 513, 1455, 31605, 827, 645, 7034, 281, 10263, 2861, 3106, 568, 10691, 827, 1025, 5446, 519, 9441, 585, 3106, 32657, 2355, 269, 898, 568, 827, 9797, 17923, 2922, 5615, 1247, 3246, 30997, 5955, 950, 19408, 5615, 616, 4767, 563, 763, 17943, 540, 645, 7034, 454, 763, 13057, 6240, 540, 8965, 3106, 568, 4543, 5520, 1685, 513, 2816, 9108, 607, 519, 1587, 540, 513, 3126, 540, 2922, 5615, 269, 968, 6826, 8326, 892, 568, 3989, 607, 1022, 2962, 596, 666, 1294, 2576, 3257, 267, 543, 621, 2882, 7298, 3527, 1152, 630, 328, 4318, 1421, 621, 1281, 711, 3277, 547, 1919, 596, 3112, 1294, 267, 971, 607, 606, 9441, 779, 8456, 610, 4555, 1040, 645, 7034, 2337, 3313, 1946, 693, 16151, 2623, 4386, 593, 519, 2816, 543, 519, 3268, 2556, 547, 1689, 693, 16151, 2623, 883, 2922, 2623, 563, 763, 645, 7034, 1505, 3096, 2326, 543, 2238, 547, 5000, 2922, 2623, 269, 1280, 1383, 267, 3106, 4191, 267, 2866, 267, 3106, 3652, 543, 4507, 267, 543, 3106, 11401, 616, 782, 2645, 602, 666, 581, 2322, 547, 1434, 946, 538, 513, 8965, 3106, 5943, 269, 898, 849, 3096, 8343, 540, 5615, 547, 3313, 2436, 5615, 616, 2922, 610, 22247, 267, 543, 621, 3096, 2318, 610, 30997, 5955, 593, 2773, 547, 12927, 2922, 2623, 543, 1689, 22247, 2623, 563, 289, 7034, 3399, 338, 609, 29922, 543, 9866, 6326, 2677, 1600, 15822, 20409, 12542, 454, 2691, 8380, 645, 7034, 883, 2962, 1369, 519, 9036, 267, 621, 779, 1271, 602, 661, 9391, 9946, 5265, 2824, 543, 7747, 9441, 2623, 269, 20409, 12542, 5697, 585, 8343, 1590, 581, 912, 268, 17325, 762, 630, 328, 4318, 1421, 666, 581, 2938, 610, 4862, 13211, 268, 4039, 4192, 630, 328, 4318, 1421, 2938, 519, 1482, 1259, 676, 1079, 610, 811, 1004, 13211, 268, 23985, 936, 799, 606, 9441, 814, 1852, 267, 543, 454, 268, 2677, 8282, 538, 513, 2318, 1259, 630, 328, 4318, 1421, 1018, 1058, 581, 2944, 267, 711, 1018, 12582, 1406, 581, 2944, 1916, 16605, 538, 2247, 602, 2623, 2861, 3106, 7422, 1590, 581, 6662, 20196, 568, 267, 1759, 593, 1018, 596, 2965, 1294, 513, 1268, 3257, 267, 711, 593, 8369, 610, 12496, 827, 606, 9441, 779, 2773, 563, 2414, 2322, 7422, 883, 2962, 267, 2015, 713, 2534, 269, 8564, 1896, 2922, 5615, 630, 17141, 1100, 811, 982, 2947, 693, 835, 942, 264, 543, 29289, 873, 883, 513, 24920, 602, 5520, 4163, 609, 873, 1282, 519, 960, 1485, 543, 946, 547, 5544, 27902, 585, 519, 1114, 5697, 2922, 5615, 269, 1403, 606, 9441, 32625, 513, 32283, 518, 7900, 513, 2623, 593, 519, 24920, 9108, 267, 513, 2638, 568, 5116, 538, 519, 968, 338, 12522, 892, 6241, 269, 1403, 513, 32283, 518, 568, 4767, 7900, 513, 2623, 22247, 569, 267, 513, 2638, 4422, 538, 519, 968, 12584, 12522, 892, 6241, 269, 901, 666, 1491, 519, 13942, 540, 519, 9860, 540, 2922, 5288, 269, 22247, 2623, 593, 519, 2816, 543, 948, 661, 9391, 4648, 1287, 1683, 2318, 5955, 585, 2922, 5615, 610, 1491, 30997, 543, 15324, 2962, 585, 1981, 1512, 2623, 563, 31339, 24720, 1772, 12708, 547, 645, 7034, 454, 31339, 11913, 5955, 568, 513, 3532, 1259, 547, 12927, 2922, 2623, 543, 513, 22294, 540, 2500, 645, 7034, 269, 1879, 596, 2285, 5520, 5955, 827, 2922, 2623, 267, 581, 1808, 827, 1018, 596, 4767, 563, 2690, 1383, 267, 547, 513, 585, 9383, 3424, 11346, 596, 1522, 2161, 267, 968, 14188, 596, 585, 6117, 7444, 1472, 602, 7944, 543, 1210, 707, 18057, 547, 24633, 1866, 1848, 3680, 2489, 3074, 971, 607, 267, 968, 12552, 585, 6117, 519, 585, 9383, 3424, 5402, 1848, 5548, 1853, 5955, 593, 2773, 5612, 1310, 519, 2623, 610, 607, 4166, 1310, 519, 2623, 607, 2009, 563, 9827, 267, 581, 2386, 547, 2697, 519, 1268, 610, 1895, 547, 7247, 596, 2461, 4758, 519, 5955, 676, 2012, 269, 1280, 1383, 267, 968, 11990, 267, 7064, 585, 544, 25891, 909, 602, 838, 2683, 1216, 269, 1411, 1175, 15286, 2576, 689, 1793, 6235, 543, 9991, 543, 3478, 13676, 1848, 3680, 6031, 1919, 899, 267, 968, 12552, 267, 3025, 267, 585, 5329, 519, 6989, 2973, 3034, 3080, 3364, 547, 2057, 538, 707, 2792, 281, 5213, 1406, 946, 519, 2262, 968, 8117, 892, 610, 968, 6011, 1197, 892, 950, 4758, 2318, 5955, 267, 2094, 891, 4018, 13294, 27298, 519, 1198, 540, 519, 2318, 5048, 269, 1280, 1383, 267, 952, 596, 2161, 267, 968, 14187, 547, 1294, 596, 9849, 3106, 14296, 267, 22123, 267, 855, 2507, 892, 22123, 949, 1152, 5873, 519, 851, 1310, 519, 968, 8117, 892, 1765, 2254, 519, 2318, 15699, 602, 28263, 621, 563, 8196, 22043, 633, 24720, 585, 20322, 5652, 9866, 5703, 20409, 12542, 454, 4407, 649, 2566, 2899, 811, 602, 645, 7034, 568, 900, 874, 5597, 711, 827, 1025, 5446, 5520, 267, 596, 849, 1590, 2760, 11716, 22247, 2623, 22924, 1223, 1267, 538, 606, 10071, 267, 606, 5945, 267, 610, 8338, 269, 1879, 596, 7747, 606, 9441, 2502, 538, 22247, 2623, 267, 596, 1590, 2285, 30997, 5955, 563, 28557, 633, 5955, 568, 3246, 1344, 593, 1018, 606, 9441, 568, 3257, 27235, 543, 849, 3246, 1344, 585, 6454, 269, 898, 1281, 711, 8806, 1085, 1245, 5520, 630, 6518, 1223, 1267, 538, 2746, 766, 1996, 707, 3646, 593, 741, 851, 1070, 855, 3079, 7125, 3007, 547, 513, 1808, 2623, 543, 2337, 2333, 519, 8458, 540, 10930, 5615, 538, 519, 2104, 563, 2691, 4758, 30997, 5955, 267, 3314, 912, 268, 2142, 1808, 543, 1445, 593, 519, 2953, 2623, 1152, 1765, 18484, 1406, 1865, 824, 5615, 563, 268, 2142, 6662, 543, 2911, 827, 519, 2623, 267, 711, 519, 1268, 563, 268, 14674, 519, 2922, 2623, 267, 543, 1118, 2386, 5520, 1174, 1946, 713, 2623, 568, 1271, 547, 741, 3106, 563, 31339, 20409, 12542, 267, 15474, 9177, 454, 4407, 645, 7034, 666, 948, 661, 9391, 9946, 22942, 1312, 2922, 543, 22247, 5615, 538, 1931, 547, 2061, 13685, 267, 621, 849, 814, 519, 3773, 4324, 540, 5355, 513, 2754, 779, 2949, 3106, 2528, 269, 14627, 550, 267, 5812, 267, 543, 2312, 2792, 593, 3106, 2152, 971, 607, 2623, 2636, 3906, 547, 1118, 3106, 513, 4295, 851, 540, 741, 2754, 2418, 543, 606, 7533, 851, 540, 741, 2949, 2528, 563, 4415, 513, 811, 13533, 1935, 547, 2623, 267, 661, 9391, 9946, 267, 2059, 609, 5520, 543, 5580, 2359, 267, 666, 1711, 606, 5790, 1141, 3106, 568, 1283, 540, 2247, 1169, 2582, 1554, 269, 1879, 19610, 609, 1697, 9477, 543, 10763, 2645, 267, 2623, 2861, 3106, 666, 948, 596, 2327, 602, 5520, 616, 711, 1152, 3478, 519, 2816, 2944, 267, 855, 3257, 865, 538, 513, 1259, 602, 8362, 8992, 1072, 543, 3106, 563, 6826, 8326, 9122, 8881, 17325, 725, 630, 289, 7034, 11675, 264, 616, 6592, 7422, 547, 2087, 11832, 3106, 543, 2569, 1981, 269, 645, 7034, 11675, 3335, 4125, 9946, 543, 824, 12912, 24319, 8384, 4247, 543, 4238, 1247, 1818, 4967, 543, 10372, 547, 2087, 3106, 269, 3958, 267, 4600, 666, 849, 10505, 645, 7034, 11675, 1759, 593, 4220, 789, 1294, 1247, 7900, 741, 960, 269, 18430, 532, 645, 7034, 11675, 568, 513, 1390, 1259, 547, 1451, 875, 707, 4600, 616, 5665, 593, 519, 6989, 543, 519, 1761, 10898, 602, 2291, 593, 21935, 269, 15332, 2921, 513, 3102, 1413, 693, 11832, 3106, 267, 645, 7034, 11675, 4983, 519, 960, 6208, 267, 1604, 267, 543, 12117, 540, 2866, 3157, 563, 3963, 568, 10263, 9122, 8881, 12830, 888, 25802, 25864, 798, 5520, 960, 538, 606, 22247, 1505, 593, 3483, 269, 13575, 6340, 267, 10913, 543, 9073, 616, 519, 1267, 540, 22247, 960, 6208, 1107, 1346, 17499, 6959, 543, 31930, 782, 3425, 2887, 883, 936, 942, 269, 589, 11832, 786, 2356, 957, 968, 517, 741, 1655, 2623, 892, 543, 1685, 547, 519, 1655, 540, 741, 8036, 2702, 1282, 513, 6101, 20894, 267, 1818, 621, 9157, 585, 3106, 9946, 547, 12398, 543, 840, 268, 3319, 3123, 540, 3106, 2152, 269, 901, 568, 1141, 10263, 15369, 8881, 2359, 3741, 1404, 513, 1883, 1909, 538, 7114, 22247, 6208, 1107, 3257, 513, 645, 7034, 302, 585, 513, 1184, 610, 4305, 568, 1447, 6101, 982, 513, 2407, 3106, 20894, 543, 568, 811, 2693, 547, 7866, 3983, 6208, 538, 519, 13781, 563, 295, 629, 1080, 616, 513, 3532, 3196, 538, 519, 9036, 543, 666, 581, 513, 32436, 9920, 540, 2901, 7607, 610, 606, 22247, 1604, 269, 1403, 2451, 31250, 267, 3983, 6208, 666, 3262, 899, 30481, 689, 835, 11832, 547, 1776, 269, 18641, 267, 7928, 7422, 26193, 22247, 6208, 689, 4742, 1932, 7839, 269, 645, 7034, 302, 3292, 616, 5921, 547, 1118, 2922, 2623, 3110, 3770, 2429, 519, 9744, 267, 5665, 896, 519, 13057, 6240, 602, 519, 32343, 5773, 1590, 581, 519, 1152, 5773, 538, 2259, 547, 2569, 519, 12136, 540, 13685, 593, 21935, 563, 22873, 11868, 513, 4901, 1851, 4600, 827, 1655, 960, 2853, 543, 5355, 960, 6208, 666, 3565, 547, 513, 6793, 3106, 2528, 543, 948, 1118, 873, 3222, 540, 741, 1378, 22247, 6208, 269, 24720, 689, 4600, 1310, 7422, 616, 5342, 948, 9946, 723, 513, 20501, 4605, 540, 2591, 543, 824, 2188, 547, 2015, 538, 606, 4674, 547, 1118, 2922, 2623, 4443, 563, 268, 10263, 1759, 3106, 9607, 519, 32436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2956, 540, 15819, 938, 10054, 543, 5275, 6325, 2959, 540, 1344, 269, 3414, 6313, 3119, 2959, 899, 519, 631, 4150, 639, 5689, 1030, 545, 30946, 543, 6236, 873, 538, 2796, 267, 649, 666, 15052, 938, 7071, 585, 519, 2250, 543, 1020, 2565, 3206, 1983, 2556, 585, 10188, 2221, 781, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 631, 4150, 639, 5689, 1030, 545, 30946, 610, 14216, 1261, 343, 523, 5069, 1067, 630, 31142, 270, 23389, 585, 834, 763, 8621, 1067, 540, 654, 9662, 8442, 568, 24903, 519, 1034, 25337, 10120, 3864, 1521, 1047, 602, 5059, 593, 7114, 267, 1915, 1944, 267, 543, 28530, 31783, 269, 898, 729, 2854, 538, 476, 16825, 277, 676, 26081, 5341, 26689, 1067, 543, 15243, 1975, 21880, 518, 609, 519, 8763, 23596, 618, 540, 15352, 26735, 12510, 24163, 267, 945, 5551, 834, 7474, 782, 1934, 3749, 1244, 571, 6143, 1058, 581, 9141, 2484, 689, 519, 4395, 4536, 543, 536, 712, 5886, 540, 519, 18321, 995, 1701, 898, 729, 1101, 3370, 538, 5125, 538, 476, 16825, 278, 269, 9282, 621, 729, 5555, 17049, 676, 519, 28912, 267, 621, 7283, 513, 2442, 547, 1889, 1851, 1312, 7826, 543, 17557, 18338, 3620, 684, 1562, 267, 5555, 9513, 856, 936, 13977, 21820, 2429, 519, 1079, 4627, 1296, 602, 621, 729, 538, 1820, 563, 763, 1257, 729, 519, 7583, 332, 1588, 540, 513, 1279, 1686, 540, 10120, 24396, 1521, 2478, 593, 31783, 267, 519, 1034, 4583, 540, 891, 4505, 1568, 1373, 519, 4813, 545, 23581, 676, 29312, 715, 3187, 538, 476, 16960, 276, 1700, 16960, 278, 269, 634, 1292, 3483, 540, 519, 631, 4150, 639, 729, 547, 18928, 1201, 1393, 782, 25949, 827, 31783, 267, 547, 4831, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 3778, 1315, 3864, 1315, 19744, 1315, 6184, 983, 3203, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8893, 281, 12861, 606, 2037, 2775, 2989, 5980, 910, 28552, 9877, 1145, 543, 3281, 6842, 692, 5331, 952, 3025, 1472, 596, 729, 2186, 518, 267, 811, 1620, 267, 543, 5249, 1927, 547, 1711, 513, 1732, 2146, 269, 14348, 333, 1405, 621, 581, 8748, 286, 901, 2856, 2501, 689, 14418, 5389, 543, 568, 1572, 606, 834, 523, 2775, 2989, 2486, 1701, 1323, 24084, 2989, 2486, 3085, 1405, 1611, 2713, 538, 513, 3501, 2588, 18701, 282, 3079, 267, 621, 1797, 1004, 616, 8149, 547, 4543, 835, 1776, 543, 14237, 6568, 267, 2463, 267, 543, 8296, 3232, 269, 2913, 781, 2263, 875, 596, 666, 3565, 547, 2679, 971, 513, 2146, 2439, 5575, 267, 1577, 781, 1174, 1018, 834, 321, 617, 20130, 3430, 9366, 12247, 257, 1797, 269, 589, 13938, 20130, 3430, 9366, 568, 2576, 945, 6499, 547, 1831, 24084, 2989, 547, 948, 1866, 3914, 21481, 1932, 269, 1635, 2921, 519, 13938, 20130, 3430, 9366, 12247, 267, 789, 9153, 547, 946, 741, 942, 543, 1648, 547, 2087, 519, 2729, 540, 1346, 1472, 873, 269, 1411, 1522, 2907, 917, 2576, 899, 713, 1107, 6148, 513, 4116, 267, 3659, 267, 610, 3448, 945, 2141, 4667, 547, 2322, 1866, 1101, 543, 2306, 513, 2318, 1764, 16382, 789, 979, 269, 3767, 4952, 2348, 1082, 971, 2043, 538, 938, 2950, 2439, 9202, 267, 2015, 1018, 596, 666, 3479, 547, 3257, 1169, 1554, 547, 3142, 827, 1689, 543, 6536, 606, 24084, 2989, 10182, 269, 4634, 1507, 6411, 2339, 267, 899, 1373, 3461, 609, 16254, 267, 4687, 9162, 609, 15032, 267, 610, 6947, 5402, 950, 2828, 3717, 269, 1452, 3527, 1397, 11587, 543, 6161, 585, 1866, 262, 8171, 267, 1175, 607, 513, 13938, 20130, 3430, 9366, 1131, 269, 1306, 596, 1332, 4587, 267, 891, 6208, 786, 1291, 596, 2509, 7700, 9797, 547, 707, 10450, 780, 3086, 267, 19424, 2348, 606, 24084, 2989, 2486, 1318, 1369, 707, 1378, 1753, 610, 4928, 269, 1215, 1223, 596, 3035, 602, 286, 3399, 676, 8026, 3742, 6947, 267, 11589, 14696, 267, 543, 5885, 835, 1776, 1282, 4101, 2053, 269, 1280, 1383, 267, 2119, 6031, 9684, 596, 547, 707, 3237, 585, 5986, 12129, 610, 4313, 532, 513, 3659, 1310, 513, 9157, 1554, 269, 1879, 7526, 8451, 267, 960, 998, 873, 25678, 676, 6158, 1919, 856, 9350, 569, 543, 3168, 585, 2081, 547, 8207, 3604, 1247, 4509, 10103, 780, 4131, 781, 1631, 1451, 827, 1808, 2645, 1031, 538, 519, 1744, 3711, 327, 8403, 2245, 630, 320, 1106, 540, 25307, 13221, 264, 547, 3895, 11009, 543, 1628, 2178, 13210, 585, 24084, 2989, 7239, 1384, 272, 269, 25990, 281, 14171, 8090, 2429, 519, 1554, 547, 13236, 7184, 267, 2312, 707, 4555, 267, 543, 1445, 593, 519, 1459, 4090, 2337, 2569, 2566, 543, 4160, 269, 8347, 4466, 513, 9602, 2230, 538, 707, 2777, 610, 1153, 547, 1694, 1869, 585, 2947, 3764, 267, 2673, 707, 4064, 267, 543, 2628, 3007, 1152, 547, 707, 7362, 2469, 538, 543, 856, 269, 3683, 942, 267, 2333, 519, 8653, 540, 707, 7886, 563, 273, 269, 700, 8221, 29292, 1145, 2259, 281, 5994, 11488, 2648, 543, 14246, 547, 3054, 267, 707, 6068, 3283, 267, 29872, 1734, 267, 543, 1256, 21046, 269, 16514, 10825, 1434, 15884, 547, 3025, 596, 7237, 267, 7488, 540, 1022, 2250, 22195, 610, 21390, 269, 901, 3635, 11942, 4606, 540, 4276, 543, 8296, 1851, 1114, 2516, 540, 1004, 563, 274, 269, 9650, 995, 2792, 281, 2142, 4628, 1459, 950, 6340, 609, 1866, 267, 9319, 19240, 899, 11436, 610, 7641, 338, 269, 28423, 25473, 2943, 24963, 267, 6432, 18906, 1947, 267, 543, 19472, 1866, 262, 4664, 543, 2833, 269, 6153, 19700, 1419, 8300, 3972, 267, 1818, 621, 4443, 585, 1004, 547, 1930, 909, 543, 2671, 4145, 780, 3528, 6220, 891, 2241, 2553, 883, 707, 6296, 267, 596, 3513, 1020, 1582, 18221, 267, 6043, 267, 543, 3929, 4987, 1107, 1898, 1983, 585, 10188, 1514, 3871, 543, 5009, 2790, 1072, 269, 5457, 267, 1100, 4674, 568, 2479, 24906, 282, 3388, 12523, 2509, 5935, 513, 17321, 2104, 4904, 609, 8296, 543, 5698, 269, 8625, 267, 649, 666, 1711, 606, 24084, 2989, 2486, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 3291, 7290, 2245, 267, 972, 568, 513, 13938, 20130, 3430, 9366, 12247, 267, 513, 12247, 547, 4142, 6510, 707, 1272, 547, 454, 1278, 338, 269, 594, 1589, 602, 382, 373, 338, 606, 4998, 269, 3973, 972, 382, 373, 338, 1018, 649, 382, 373, 516, 2731, 454, 762, 547, 9419, 324, 1118, 513, 7029, 547, 581, 2111, 547, 948, 1866, 267, 547, 1847, 4464, 454, 528, 2661, 1927, 538, 606, 24084, 2989, 6891, 610, 24084, 2989, 1259, 267, 547, 581, 811, 17519, 454, 5976, 1142, 824, 269, 1403, 16764, 568, 2324, 1927, 547, 4324, 1866, 267, 1287, 2486, 454, 529, 811, 561, 22133, 269, 1924, 267, 2864, 982, 513, 14070, 7780, 26508, 1747, 267, 606, 24084, 2989, 2486, 454, 529, 811, 540, 513, 2619, 15129, 2259, 563, 296, 1589, 16764, 814, 930, 2186, 540, 4909, 267, 2596, 22556, 267, 543, 594, 1589, 972, 382, 373, 338, 513, 5870, 1747, 1141, 649, 782, 666, 1847, 4724, 2870, 606, 24084, 2989, 2486, 269, 5272, 7853, 814, 741, 1378, 3460, 269, 769, 519, 1744, 3711, 327, 8403, 2245, 267, 649, 723, 1880, 1199, 14591, 543, 2853, 799, 649, 798, 865, 649, 666, 3565, 547, 519, 1158, 693, 1804, 269, 2334, 568, 1360, 3376, 267, 855, 596, 666, 723, 606, 24084, 2989, 2486, 1369, 707, 1378, 1920, 267, 1369, 707, 1378, 2146, 267, 1369, 707, 1378, 9066, 4099, 563, 3080, 540, 519, 2853, 555, 320, 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, 7087, 10076, 2657, 1299, 23046, 1315, 7991, 6441, 539, 9024, 328, 2510, 543, 8682, 5937, 20986, 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, 1262, 13900, 4771, 513, 31313, 4934, 540, 32124, 281, 589, 5153, 8386, 28157, 6651, 4373, 6701, 596, 3843, 547, 948, 707, 7649, 7753, 7963, 286, 5556, 17894, 593, 2921, 519, 1101, 1900, 2509, 5885, 873, 256, 901, 3102, 3391, 786, 3802, 596, 998, 1169, 1469, 267, 689, 1620, 7963, 547, 2870, 513, 1544, 543, 22589, 621, 1927, 780, 1262, 8139, 32124, 630, 6524, 1411, 10670, 21143, 5719, 23336, 4016, 547, 606, 2179, 540, 2724, 22666, 676, 835, 1268, 610, 11769, 689, 1776, 267, 1419, 609, 1719, 3928, 4294, 269, 5994, 24228, 476, 1015, 12897, 689, 513, 3659, 267, 9621, 547, 2132, 476, 1321, 12897, 2663, 607, 23231, 618, 267, 1519, 476, 273, 3063, 12897, 607, 1719, 269, 769, 4641, 267, 22440, 4125, 3677, 18304, 540, 2724, 267, 855, 519, 1523, 3788, 2147, 780, 2414, 1174, 7963, 1732, 1384, 272, 269, 2878, 306, 527, 20354, 4995, 4855, 513, 9602, 5544, 1141, 596, 1312, 1745, 17159, 563, 273, 269, 2878, 5970, 513, 6643, 4995, 6733, 693, 707, 7649, 1247, 6340, 267, 1818, 3750, 3346, 12212, 547, 1397, 3007, 563, 274, 269, 2878, 16485, 1930, 25804, 2055, 4995, 11559, 707, 7649, 547, 2671, 741, 4606, 827, 7963, 1210, 1875, 268, 9080, 8540, 531, 1893, 269, 1280, 1383, 912, 453, 265, 1215, 798, 596, 1589, 649, 3893, 883, 7963, 888, 453, 265, 1548, 616, 930, 9276, 602, 3565, 547, 938, 7963, 888, 275, 269, 2878, 8266, 523, 8362, 4995, 9796, 3007, 547, 1018, 789, 2161, 1510, 14443, 532, 267, 12162, 3429, 707, 2212, 547, 5815, 1620, 780, 1262, 294, 1430, 6176, 630, 3721, 476, 272, 21143, 8624, 937, 1898, 6054, 543, 3877, 547, 10146, 519, 9165, 540, 519, 7963, 780, 272, 269, 2878, 7476, 2556, 4574, 4995, 11814, 6898, 689, 5491, 832, 267, 10211, 11650, 267, 5491, 5359, 267, 543, 1022, 824, 4143, 1957, 1740, 563, 273, 269, 2878, 16391, 1125, 6054, 4995, 28081, 891, 4574, 12225, 10999, 610, 11008, 1227, 267, 4470, 593, 707, 13283, 267, 538, 513, 11280, 17835, 610, 536, 5407, 563, 274, 269, 2878, 26368, 1883, 5515, 1262, 912, 453, 266, 11192, 7963, 2179, 454, 453, 266, 9314, 3928, 454, 453, 266, 29358, 10865, 11033, 454, 453, 266, 9603, 7389, 454, 453, 266, 28946, 6002, 262, 4408, 543, 9607, 454, 275, 269, 2878, 28097, 4681, 4995, 5623, 10356, 1239, 1927, 267, 10223, 2127, 8506, 7525, 3007, 780, 1262, 8620, 513, 20907, 8625, 630, 3721, 476, 273, 21143, 14946, 513, 10853, 6578, 547, 21138, 4747, 3927, 780, 272, 269, 2878, 16521, 513, 6899, 4087, 4995, 17292, 513, 12560, 1858, 1863, 689, 19240, 563, 273, 269, 2878, 289, 2590, 26732, 543, 23445, 4995, 5620, 2645, 4712, 547, 1118, 9273, 4443, 563, 274, 269, 2878, 8266, 4747, 2959, 4995, 16680, 2834, 15271, 267, 971, 607, 23269, 267, 9541, 267, 610, 28479, 766, 960, 563, 275, 269, 2878, 290, 1538, 528, 1125, 24723, 4995, 19147, 7836, 883, 6688, 899, 8027, 267, 1426, 267, 6283, 267, 9913, 267, 3092, 563, 276, 269, 2878, 10112, 793, 21159, 4995, 2353, 11229, 1808, 13980, 540, 4747, 547, 1142, 7121, 1759, 593, 10862, 543, 13766, 563, 277, 269, 2878, 13729, 2883, 3853, 4995, 14419, 2110, 3856, 6859, 267, 552, 3052, 1421, 9878, 1055, 1164, 29027, 12029, 267, 543, 1279, 3856, 9072, 267, 971, 607, 2679, 9806, 780, 1262, 26212, 527, 1125, 13891, 1206, 630, 3721, 476, 274, 21143, 29991, 799, 22440, 547, 10994, 1101, 780, 272, 269, 2878, 305, 1678, 22440, 676, 23473, 4995, 10576, 1346, 609, 2362, 1719, 3928, 267, 683, 2130, 1813, 7389, 267, 610, 8876, 3735, 12375, 563, 273, 269, 2878, 30696, 593, 1164, 1790, 1874, 640, 22440, 4995, 24517, 3433, 3355, 3646, 593, 519, 1034, 2565, 22440, 563, 274, 269, 2878, 13706, 6777, 4252, 1505, 4995, 17968, 267, 2628, 4130, 22440, 1101, 547, 1628, 11610, 543, 6015, 780, 1262, 15973, 6510, 609, 28946, 6002, 630, 3721, 476, 275, 21143, 3725, 778, 856, 547, 5491, 832, 547, 21907, 2474, 610, 17260, 780, 272, 269, 2878, 7093, 6768, 20072, 4995, 3503, 1524, 6158, 2798, 543, 2055, 25656, 547, 2327, 9355, 1282, 7125, 563, 273, 269, 2878, 13014, 6049, 7125, 4995, 12480, 3841, 3218, 2338, 267, 10962, 3054, 543, 7713, 707, 3510, 9350, 569, 563, 274, 269, 2878, 26473, 652, 6351, 4995, 9105, 827, 2009, 2557, 20214, 267, 3649, 1882, 12375, 267, 610, 10151, 8569, 1219, 518, 906, 563, 275, 269, 2878, 12648, 4967, 4995, 11657, 7391, 267, 1519, 7389, 267, 2053, 267, 543, 8815, 5346, 517, 2242, 780, 1262, 1805, 1157, 547, 2659, 4643, 630, 3721, 476, 276, 21143, 19894, 569, 2689, 3356, 267, 4188, 2994, 952, 2877, 267, 543, 8661, 19325, 780, 272, 269, 2878, 306, 3832, 7191, 2638, 15564, 4995, 5590, 18596, 11401, 547, 1865, 10311, 267, 4145, 267, 543, 18454, 563, 273, 269, 2878, 12507, 3218, 18820, 9477, 4995, 17115, 8524, 7836, 6208, 547, 2697, 1761, 25354, 563, 274, 269, 2878, 23895, 14896, 622, 1507, 24984, 4995, 31158, 1578, 18517, 267, 1100, 2339, 875, 5634, 267, 547, 2226, 8404, 563, 275, 269, 2878, 6826, 8465, 4995, 5020, 568, 20437, 282, 3082, 4566, 950, 5185, 609, 6397, 22303, 610, 3255, 780, 1262, 21206, 9669, 4373, 8855, 1384, 265, 2878, 22879, 10385, 4995, 10312, 593, 4466, 3435, 2864, 982, 26471, 16620, 563, 265, 2878, 20797, 6568, 4995, 2142, 3461, 543, 1620, 2429, 519, 1184, 563, 265, 2878, 5353, 2131, 3318, 5583, 4995, 1403, 16397, 267, 2015, 17874, 513, 2883, 25129, 610, 5491, 24468, 563, 265, 2878, 26835, 2318, 4995, 5617, 10079, 538, 707, 2383, 543, 519, 7872, 540, 20408, 7963, 1927, 2439, 3528, 1739, 891, 3268, 267, 14379, 16175, 267, 543, 2324, 29050, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 4543, 707, 7649, 9101, 7963, 781, 9787, 269, 5457, 547, 3251, 8149, 267, 11215, 267, 543, 3461, 1107, 1927, 267, 596, 666, 3035, 2883, 5191, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 20055, 513, 31313, 856, 540, 32124, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2414, 4628, 1174, 1018, 1344, 1880, 2694, 540, 519, 1957, 1058, 1865, 267, 1934, 779, 1776, 1383, 540, 513, 1382, 1957, 563, 1607, 2376, 568, 513, 851, 540, 519, 3391, 912, 268, 20895, 6201, 454, 268, 7151, 540, 513, 7433, 454, 268, 3503, 513, 29138, 454, 289, 12864, 9509, 20895, 454, 268, 476, 272, 3503, 513, 3194, 7433, 454, 268, 476, 273, 5675, 513, 7433, 454, 268, 476, 274, 269, 272, 3503, 606, 20895, 454, 268, 476, 274, 269, 273, 20895, 6201, 454, 268, 476, 275, 269, 272, 19080, 15048, 454, 268, 476, 275, 269, 273, 3503, 513, 29138, 454, 268, 476, 276, 269, 273, 17593, 454, 268, 476, 276, 269, 274, 4985, 454, 268, 476, 276, 269, 275, 10613, 454, 268, 476, 276, 269, 276, 11778, 454, 268, 476, 276, 269, 277, 17564, 454, 268, 476, 276, 269, 278, 10390, 454, 268, 476, 276, 269, 279, 31639, 454, 268, 476, 277, 269, 272, 7305, 540, 12937, 454, 268, 476, 277, 269, 273, 31158, 1578, 906, 454, 268, 476, 277, 269, 274, 25715, 454, 268, 476, 278, 269, 272, 769, 7956, 13022, 725, 454, 268, 476, 278, 269, 273, 14272, 17084, 454, 268, 476, 278, 269, 274, 269, 272, 4469, 334, 908, 2349, 4169, 454, 268, 476, 278, 269, 275, 7151, 540, 513, 7433, 454, 268, 476, 278, 269, 276, 7151, 540, 513, 7433, 476, 273, 454, 268, 476, 278, 269, 277, 269, 272, 13022, 725, 454, 268, 476, 278, 269, 278, 269, 272, 5675, 13910, 454, 268, 476, 278, 269, 278, 269, 273, 13022, 725, 454, 268, 476, 279, 269, 272, 269, 272, 1744, 600, 25398, 5623, 454, 268, 476, 279, 269, 272, 269, 273, 22436, 454, 268, 476, 279, 269, 272, 269, 274, 32539, 454, 268, 476, 279, 269, 273, 22910, 4437, 553, 454, 268, 476, 279, 269, 274, 269, 272, 4750, 1234, 20287, 454, 268, 476, 280, 269, 272, 9137, 5675, 454, 268, 476, 280, 269, 273, 14313, 585, 11762, 454, 2005, 2882, 930, 1883, 2694, 540, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 12409, 4521, 1299, 18489, 3175, 1315, 7981, 4065, 4521, 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, 5149, 476, 1428, 281, 3933, 2120, 625, 543, 20850, 932, 11699, 538, 10255, 910, 589, 17714, 3414, 5384, 543, 20154, 640, 692, 7072, 1384, 2026, 649, 5490, 4514, 883, 519, 3638, 13795, 540, 5259, 1686, 543, 2528, 267, 938, 1445, 10593, 2509, 519, 25340, 9565, 5736, 540, 18031, 656, 1756, 267, 799, 2451, 3297, 513, 9371, 602, 5170, 547, 3337, 4207, 10255, 269, 7324, 560, 519, 1034, 11495, 22514, 580, 525, 540, 713, 22184, 616, 519, 20708, 625, 543, 20850, 13039, 602, 1179, 330, 548, 519, 5259, 5251, 267, 7555, 607, 1449, 14613, 547, 1312, 3909, 20174, 543, 11265, 5647, 269, 901, 1770, 786, 2263, 891, 4241, 3889, 267, 19286, 908, 741, 3140, 4644, 267, 7499, 20519, 267, 543, 5289, 2956, 269, 5047, 267, 649, 4927, 4983, 875, 789, 2611, 4143, 538, 2413, 2053, 543, 1217, 4207, 11407, 593, 4984, 267, 6561, 11091, 267, 543, 4264, 9235, 780, 4089, 476, 272, 281, 8466, 11137, 540, 20850, 10255, 692, 2414, 10146, 519, 6090, 529, 543, 4720, 540, 20850, 3235, 27036, 20292, 6189, 267, 835, 1590, 1101, 9787, 519, 3140, 2796, 1369, 799, 621, 7153, 269, 634, 20850, 7276, 267, 18005, 3964, 538, 476, 20065, 5084, 676, 4936, 14890, 4790, 14932, 594, 267, 28815, 585, 1134, 936, 513, 26992, 2394, 922, 2887, 538, 476, 13970, 274, 269, 4438, 713, 942, 267, 621, 6039, 607, 519, 12473, 10938, 540, 18179, 8567, 267, 5807, 513, 2189, 12760, 540, 3909, 535, 969, 528, 267, 11440, 19121, 720, 267, 543, 7499, 4082, 269, 769, 10255, 267, 3226, 1310, 519, 7771, 540, 8106, 25196, 267, 519, 20850, 7276, 25116, 9645, 3310, 267, 5935, 519, 4182, 781, 2797, 18330, 267, 6848, 8155, 267, 543, 2686, 2504, 269, 9182, 267, 519, 20375, 25517, 1282, 713, 1974, 910, 12077, 20708, 625, 543, 13039, 910, 1796, 607, 12667, 12589, 9323, 540, 713, 1623, 25027, 2078, 1063, 5132, 267, 1379, 267, 543, 15312, 780, 4089, 476, 273, 281, 11629, 1116, 3763, 906, 543, 26505, 692, 763, 11265, 6163, 602, 21656, 20850, 1196, 881, 525, 7960, 3648, 2429, 519, 10504, 781, 1279, 12081, 267, 10452, 13346, 8739, 27791, 6384, 543, 6639, 7760, 269, 16480, 267, 1978, 10689, 12201, 6414, 1836, 5581, 891, 3889, 267, 1519, 1384, 320, 264, 29092, 4618, 12697, 281, 14216, 1882, 689, 2038, 4168, 24958, 545, 553, 267, 1082, 20850, 13039, 7550, 513, 19976, 1544, 16030, 513, 562, 1511, 267, 1079, 513, 529, 956, 267, 543, 606, 3284, 572, 269, 3683, 942, 267, 2705, 267, 7648, 593, 713, 6249, 7139, 11717, 730, 267, 27548, 3444, 2987, 30026, 267, 2531, 539, 12354, 21192, 267, 543, 824, 1950, 4566, 602, 19658, 8476, 8901, 3919, 543, 2067, 1769, 21774, 780, 321, 264, 667, 727, 14716, 281, 2290, 540, 519, 1034, 10058, 2934, 540, 20850, 6189, 568, 519, 24819, 946, 540, 546, 2345, 269, 21231, 6964, 547, 13862, 31344, 958, 9709, 12004, 344, 6319, 630, 3333, 21218, 8027, 882, 923, 1070, 546, 2345, 7930, 2968, 7533, 3334, 540, 5939, 1374, 267, 29544, 31676, 8321, 566, 543, 3246, 5318, 9703, 5624, 20009, 547, 18497, 10847, 780, 322, 264, 7698, 19139, 281, 645, 4459, 543, 6149, 27648, 519, 3119, 2679, 2326, 585, 20850, 3235, 27036, 20292, 3889, 269, 631, 3517, 4274, 569, 18705, 6946, 3270, 1210, 20367, 6030, 540, 2699, 15839, 543, 3043, 6149, 267, 4611, 538, 11617, 9159, 1795, 3547, 543, 954, 12542, 269, 5015, 267, 4487, 29048, 24224, 7252, 609, 7524, 19821, 923, 543, 23906, 1723, 525, 267, 28093, 5224, 10723, 5624, 609, 18477, 11052, 543, 859, 25607, 6386, 780, 323, 264, 23305, 11627, 725, 281, 1306, 20850, 26767, 15568, 741, 2553, 267, 789, 5189, 1896, 19782, 1190, 3435, 547, 7293, 2591, 15054, 676, 1804, 17364, 2609, 971, 607, 29256, 338, 543, 546, 2345, 269, 1452, 10124, 3769, 519, 946, 540, 20805, 550, 1161, 630, 28256, 9771, 12415, 602, 7520, 5912, 1063, 4009, 13279, 543, 9764, 546, 2345, 1070, 2695, 514, 577, 30617, 630, 14585, 1676, 23418, 15659, 3457, 7175, 26434, 13307, 29691, 4009, 610, 14328, 536, 904, 1070, 543, 12765, 7675, 1949, 630, 1410, 10262, 7028, 25559, 532, 14694, 4229, 6393, 4089, 476, 274, 281, 3933, 2880, 18877, 543, 4256, 10020, 538, 27264, 692, 9961, 20850, 10255, 267, 1395, 2880, 2950, 5129, 513, 11358, 1909, 538, 14335, 543, 4509, 4025, 540, 10847, 269, 10705, 13883, 538, 6552, 2199, 525, 267, 891, 694, 7672, 11700, 2314, 3177, 25113, 585, 1346, 5275, 24176, 267, 31658, 267, 543, 10143, 4276, 269, 3958, 267, 789, 1599, 539, 607, 7740, 540, 1565, 267, 12377, 2504, 267, 543, 26988, 18129, 267, 7551, 7700, 6086, 1947, 547, 2686, 15364, 543, 7214, 1646, 780, 9213, 267, 3875, 20850, 20708, 625, 543, 13039, 3136, 547, 4196, 607, 4105, 6402, 547, 10255, 781, 588, 528, 1221, 2250, 1247, 8195, 18220, 532, 5571, 3646, 547, 8190, 543, 3895, 713, 9048, 2897, 762, 6561, 269, 1280, 3236, 267, 6778, 19158, 657, 910, 30351, 6053, 5219, 547, 607, 519, 834, 295, 8432, 13738, 257, 910, 6763, 856, 607, 606, 14628, 1395, 2880, 14081, 1630, 8463, 8938, 5553, 540, 796, 5793, 32152, 5289, 2245, 269, 7457, 1043, 9003, 3842, 2027, 11863, 267, 713, 20648, 2622, 11595, 13505, 8075, 5111, 8938, 3742, 20708, 625, 267, 19788, 5640, 267, 19623, 338, 267, 543, 14666, 7567, 945, 3343, 547, 1995, 922, 13737, 5790, 543, 9006, 30514, 9821, 780, 19741, 9117, 607, 2713, 15882, 267, 891, 8978, 4609, 849, 3565, 25006, 547, 6237, 11615, 998, 4264, 9235, 7341, 269, 1635, 5402, 13326, 1471, 2787, 609, 5726, 3853, 267, 8639, 2832, 547, 2327, 602, 2104, 5481, 666, 5660, 543, 1451, 689, 891, 7415, 1449, 14613, 547, 1480, 27265, 543, 6043, 780, 6962, 1384, 1103, 5758, 267, 713, 1770, 814, 25139, 1585, 3344, 540, 10255, 781, 20850, 20708, 625, 543, 13039, 267, 17766, 1769, 593, 741, 3140, 8129, 267, 11265, 7835, 267, 543, 1914, 32241, 3252, 269, 1284, 723, 8268, 875, 891, 3889, 7703, 7198, 547, 513, 676, 19079, 5736, 1247, 11173, 547, 13469, 609, 4207, 9458, 267, 11121, 8086, 267, 27527, 267, 543, 19642, 269, 11086, 267, 2502, 9691, 609, 971, 15889, 19183, 540, 938, 7104, 2250, 6087, 721, 711, 1152, 547, 15052, 938, 7071, 585, 519, 10781, 540, 3105, 12977, 855, 849, 547, 11349, 513, 2631, 540, 3838, 5539, 585, 17420, 543, 14120, 938, 3309, 1200, 527, 1137, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 872, 576, 568, 606, 6909, 2197, 609, 811, 982, 1175, 3504, 21219, 543, 9381, 5784, 593, 2709, 269, 898, 779, 513, 2686, 10093, 2407, 540, 1187, 1919, 547, 798, 267, 4190, 24781, 267, 1434, 9174, 267, 543, 930, 540, 519, 1655, 1426, 596, 3580, 2479, 3548, 269, 3502, 547, 2446, 267, 950, 621, 2501, 547, 10464, 3864, 2477, 267, 10255, 568, 693, 519, 1283, 563, 2691, 594, 3323, 1603, 713, 2022, 540, 519, 1655, 1919, 547, 798, 538, 10255, 267, 782, 1250, 8823, 540, 9683, 519, 2197, 3357, 14700, 1394, 547, 803, 267, 543, 609, 1142, 2262, 594, 5206, 267, 519, 811, 19911, 531, 11551, 594, 2968, 563, 294, 872, 576, 568, 851, 540, 2342, 543, 568, 1634, 547, 581, 835, 540, 519, 2101, 5716, 538, 3384, 519, 5375, 2622, 607, 649, 917, 621, 269, 898, 779, 519, 4332, 2897, 540, 9111, 543, 5280, 6338, 6138, 543, 3332, 547, 519, 1158, 269, 9578, 267, 10255, 1185, 930, 540, 519, 1101, 3621, 543, 6310, 23484, 563, 8253, 1152, 814, 621, 2919, 519, 2413, 1158, 883, 1018, 621, 568, 2221, 267, 10255, 568, 519, 4332, 2897, 540, 519, 16727, 3756, 563, 18128, 2064, 540, 1272, 538, 10255, 4422, 1394, 607, 2484, 607, 476, 17734, 267, 1822, 7460, 267, 609, 1272, 998, 782, 1614, 540, 519, 6149, 6502, 630, 303, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12507, 2120, 625, 543, 20850, 932, 11699, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 10255, 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, 1262, 16215, 7170, 5093, 4197, 7756, 21126, 1299, 25947, 2659, 15350, 692, 1262, 29020, 5093, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 581, 2111, 547, 1174, 602, 1004, 666, 723, 1114, 8369, 827, 519, 1482, 3510, 543, 1451, 2994, 547, 2087, 707, 3965, 780, 5970, 596, 2479, 1185, 513, 24895, 609, 513, 3659, 936, 1945, 1507, 267, 899, 1018, 7260, 547, 4585, 610, 1141, 547, 3548, 12899, 286, 4634, 1498, 621, 1522, 3100, 899, 972, 781, 1152, 835, 2953, 2626, 267, 3006, 1079, 1004, 666, 1294, 519, 1482, 3510, 8335, 269, 901, 568, 1317, 3025, 814, 741, 1378, 2189, 5133, 1759, 593, 741, 2833, 543, 4978, 780, 3086, 267, 1577, 781, 1589, 827, 2477, 543, 875, 789, 2070, 824, 6082, 269, 1280, 1383, 267, 930, 1004, 538, 9459, 1522, 3494, 602, 6576, 568, 513, 1434, 4244, 547, 2324, 609, 5375, 7060, 899, 519, 2136, 2276, 269, 1809, 1946, 1131, 789, 1589, 602, 286, 1677, 1174, 741, 1448, 540, 2070, 267, 649, 991, 547, 2015, 519, 1686, 1063, 891, 2477, 780, 7628, 519, 12019, 2782, 267, 519, 8168, 5742, 729, 513, 3532, 15180, 547, 519, 2136, 2276, 269, 4634, 1498, 6576, 568, 1100, 3476, 513, 21340, 2197, 899, 519, 8168, 5742, 729, 267, 1082, 1004, 1869, 3314, 519, 942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4101, 3375, 1184, 540, 2436, 547, 4283, 513, 3859, 25755, 269, 898, 6799, 1883, 2152, 547, 2015, 543, 1344, 547, 5531, 1991, 547, 1818, 513, 3375, 267, 3091, 2792, 1983, 547, 948, 3391, 7391, 609, 1866, 4448, 547, 519, 2244, 267, 543, 2488, 4388, 543, 2645, 585, 27410, 609, 519, 3859, 2754, 593, 519, 2474, 540, 513, 3859, 25755, 563, 24309, 585, 519, 3397, 686, 23530, 7581, 2130, 5264, 676, 5981, 529, 623, 26053, 529, 630, 13070, 5142, 6897, 31173, 264, 543, 2353, 2581, 12722, 630, 21760, 5964, 3397, 337, 643, 565, 3279, 545, 4804, 4741, 994, 763, 3397, 5142, 6897, 8889, 6651, 729, 2966, 547, 7520, 3609, 1565, 543, 5647, 538, 519, 2136, 2276, 269, 1635, 2458, 908, 4540, 7341, 543, 1883, 14074, 267, 713, 3391, 5713, 607, 513, 4199, 585, 22124, 267, 2244, 946, 24990, 267, 3375, 15670, 267, 543, 1866, 945, 616, 5461, 538, 1533, 6361, 7308, 19603, 989, 5142, 6897, 3609, 269, 634, 3397, 686, 23530, 7581, 2130, 5264, 568, 31717, 2509, 3609, 282, 519, 9837, 540, 713, 3391, 568, 711, 547, 12167, 585, 1978, 7341, 267, 855, 547, 1683, 513, 3844, 3760, 585, 2069, 543, 6278, 269, 634, 3804, 540, 713, 3391, 568, 547, 1489, 3609, 5647, 585, 1732, 1071, 2000, 6327, 563, 1607, 1876, 16886, 514, 689, 11882, 3557, 2160, 2488, 513, 1297, 540, 1919, 547, 798, 267, 2152, 547, 2015, 267, 1004, 547, 5077, 267, 543, 2055, 547, 2307, 1354, 543, 1310, 19142, 513, 3859, 25755, 563, 1607, 3391, 6799, 9270, 585, 2244, 14935, 3168, 693, 682, 2084, 741, 2244, 585, 3859, 1646, 563, 1607, 1957, 8843, 606, 7650, 540, 1312, 3742, 543, 12809, 9023, 4485, 538, 3859, 14346, 3156, 609, 606, 8561, 593, 9241, 2919, 989, 337, 643, 565, 3279, 545, 2067, 9023, 1949, 269, 0, 21366, 281, 476, 272, 8191, 281, 13505, 15503, 6583, 1501, 5384, 281, 476, 1708, 274, 268, 6734, 268, 1839, 18882, 281, 13505, 454, 763, 2518, 11442, 2872, 568, 513, 3818, 1532, 11669, 13362, 2872, 602, 568, 4397, 547, 3136, 547, 1332, 269, 4475, 267, 972, 786, 581, 513, 2603, 540, 1719, 538, 13143, 532, 9162, 547, 1114, 6990, 1472, 519, 1158, 269, 23496, 1587, 2298, 5360, 625, 609, 1585, 3106, 4441, 2066, 519, 8608, 786, 4161, 9755, 269, 1306, 513, 3624, 3872, 11442, 10672, 7722, 538, 519, 3872, 11442, 2872, 585, 476, 1626, 1296, 267, 24488, 2257, 9162, 616, 1134, 3222, 540, 519, 2956, 540, 1587, 3106, 585, 1453, 269, 7756, 4441, 585, 11442, 3106, 267, 585, 713, 3483, 267, 519, 1702, 540, 11442, 3106, 4441, 538, 1585, 2477, 616, 24298, 269, 901, 2376, 786, 948, 596, 1174, 519, 1585, 3106, 4170, 540, 519, 11442, 2872, 563, 14197, 16390, 585, 12409, 1677, 903, 585, 5753, 2622, 4204, 454, 5575, 267, 972, 616, 2489, 3652, 543, 10054, 912, 1892, 18869, 4441, 798, 711, 936, 20183, 2199, 543, 5313, 2229, 543, 8116, 3106, 4441, 267, 6042, 267, 543, 4152, 5773, 563, 1892, 12409, 9162, 585, 1453, 616, 2966, 543, 3812, 585, 513, 1808, 3077, 1895, 540, 1453, 269, 1879, 12570, 2436, 513, 11442, 568, 2922, 267, 519, 11095, 3942, 540, 519, 3077, 2085, 1895, 1590, 581, 2808, 269, 1280, 1383, 267, 875, 2693, 568, 621, 602, 513, 1126, 538, 519, 3077, 2085, 1895, 786, 15179, 1507, 2694, 540, 513, 11442, 286, 1548, 616, 519, 11095, 6788, 540, 519, 3077, 2085, 1895, 888, 1892, 18766, 689, 519, 1582, 17272, 1211, 7915, 4220, 267, 9162, 1058, 711, 10460, 513, 1981, 547, 519, 1134, 5630, 540, 1453, 538, 519, 5497, 2344, 269, 2052, 519, 1126, 6023, 519, 11442, 21230, 1510, 1981, 540, 5945, 888, 1892, 5753, 1869, 991, 2937, 15569, 950, 4730, 609, 3872, 9162, 267, 607, 10913, 949, 2049, 1282, 1404, 269, 1411, 991, 547, 1449, 2436, 1761, 2800, 666, 581, 15286, 538, 519, 4527, 540, 606, 2937, 563, 1892, 1879, 10442, 513, 11442, 585, 3106, 267, 8263, 10257, 5957, 543, 15237, 563, 2026, 5018, 4505, 267, 1114, 4525, 543, 2477, 723, 741, 1378, 11442, 3106, 4441, 269, 634, 1739, 616, 519, 1292, 3283, 912, 2894, 10170, 568, 519, 3864, 1453, 781, 11442, 3106, 3044, 269, 898, 5631, 5360, 625, 609, 519, 3864, 5753, 781, 23625, 8881, 6034, 633, 269, 13673, 10170, 849, 6227, 11442, 3106, 6042, 538, 519, 5177, 269, 769, 519, 5177, 267, 972, 616, 5722, 4441, 543, 835, 5094, 3044, 12044, 519, 5122, 3106, 540, 9162, 563, 1607, 9086, 5036, 856, 3106, 4170, 585, 782, 9162, 14475, 585, 1453, 896, 476, 1691, 1296, 540, 2085, 269, 15733, 602, 616, 711, 30630, 607, 9162, 855, 1869, 723, 519, 5920, 540, 513, 11442, 616, 849, 1641, 547, 13673, 10170, 269, 15742, 3872, 9162, 585, 1453, 267, 971, 607, 11442, 1793, 902, 543, 3032, 777, 6699, 267, 616, 23614, 689, 713, 19231, 269, 634, 3044, 568, 5258, 883, 3670, 6810, 8720, 1114, 3344, 540, 3106, 971, 607, 1166, 2459, 1464, 267, 17219, 267, 543, 3106, 16287, 269, 2353, 1453, 781, 9162, 16865, 883, 2342, 1590, 7703, 519, 9460, 1665, 563, 4753, 10220, 3090, 454, 17129, 300, 674, 280, 8287, 568, 519, 1977, 1453, 781, 11442, 3106, 3044, 269, 1677, 903, 1590, 16783, 609, 519, 4170, 540, 519, 19901, 8605, 8881, 26094, 2920, 630, 290, 4916, 8656, 1040, 634, 3804, 540, 30680, 674, 280, 8287, 568, 547, 7866, 1022, 10898, 602, 949, 711, 581, 11593, 7805, 547, 519, 1857, 950, 1453, 781, 9162, 616, 1031, 607, 5497, 269, 30680, 674, 280, 8287, 849, 14592, 4170, 543, 1449, 2409, 585, 9162, 14475, 585, 1453, 896, 519, 2085, 540, 476, 1691, 269, 21976, 4268, 676, 2085, 1895, 563, 763, 18869, 476, 279, 1321, 275, 3044, 729, 2919, 998, 519, 9316, 540, 4966, 689, 1114, 2477, 971, 607, 5245, 267, 519, 2136, 2276, 267, 519, 2136, 8003, 267, 543, 3624, 269, 1703, 616, 476, 1839, 10283, 2477, 543, 476, 1789, 20626, 2477, 269, 901, 3044, 814, 1044, 2838, 610, 1031, 607, 513, 4704, 676, 2477, 538, 827, 476, 736, 2477, 267, 1519, 5245, 543, 3624, 269, 634, 3804, 540, 18869, 4441, 568, 547, 1711, 11007, 1851, 519, 1158, 781, 2101, 4441, 269, 22769, 538, 835, 2344, 949, 8428, 689, 6042, 538, 1776, 2344, 269, 4475, 267, 10220, 609, 6042, 538, 835, 2197, 1281, 711, 10018, 10220, 538, 1776, 563, 7212, 18869, 4441, 941, 2813, 547, 1711, 11007, 2066, 1883, 4441, 267, 5870, 873, 1281, 711, 8850, 10018, 10220, 538, 1169, 2197, 269, 1677, 903, 1590, 2743, 1142, 2197, 781, 1378, 1305, 540, 3106, 4441, 269, 4475, 267, 621, 568, 2556, 547, 6166, 609, 1142, 2197, 1018, 741, 1453, 781, 11442, 3106, 4170, 616, 563, 4415, 4441, 4657, 1472, 519, 1158, 267, 621, 781, 1271, 547, 6451, 1455, 1655, 2853, 883, 513, 2298, 22059, 1982, 602, 6227, 782, 13279, 269, 634, 1739, 616, 6700, 24422, 543, 4255, 547, 1685, 1282, 519, 14791, 912, 1892, 6301, 1449, 454, 1892, 7464, 2773, 454, 1892, 570, 5014, 543, 694, 4461, 454, 1892, 8881, 267, 5826, 267, 543, 9963, 6003, 14791, 454, 1892, 18378, 14791, 454, 1892, 7344, 10898, 454, 1892, 1808, 4255, 454, 1892, 9966, 7190, 4152, 540, 11308, 9162, 454, 1892, 1520, 1127, 633, 593, 20446, 15828, 8475, 454, 1892, 19045, 7020, 454, 4407, 1114, 4525, 723, 741, 1378, 4170, 267, 602, 3085, 1405, 1611, 2518, 10220, 568, 513, 18447, 4305, 269, 1635, 9591, 2298, 14791, 2853, 602, 3382, 782, 2556, 2127, 267, 707, 2472, 786, 581, 2111, 547, 3035, 10220, 563, 2026, 513, 3318, 3624, 3872, 11442, 2754, 267, 24488, 11660, 1677, 903, 814, 1044, 20170, 547, 519, 5692, 540, 12419, 3318, 543, 2922, 1453, 781, 3872, 9162, 547, 1453, 782, 936, 519, 1158, 269, 2353, 2472, 616, 1500, 540, 1164, 7779, 2326, 267, 543, 2298, 1852, 568, 2141, 5645, 856, 538, 13076, 609, 519, 5207, 3486, 4441, 269, 898, 10742, 519, 2518, 3084, 11442, 3106, 4152, 4441, 267, 865, 596, 666, 1964, 21407, 547, 28111, 609, 721, 543, 6494, 3621, 9909, 547, 1453, 782, 936, 519, 1158, 269, 0, 4467, 6570, 4083, 568, 513, 7750, 626, 7206, 2813, 676, 1977, 7376, 18536, 8361, 23745, 538, 476, 4489, 277, 269, 901, 7493, 960, 568, 513, 851, 540, 513, 3126, 540, 7750, 626, 10367, 2944, 676, 519, 7376, 269, 898, 2934, 12667, 4778, 543, 1164, 7779, 7376, 17263, 17198, 267, 799, 10597, 922, 12716, 1871, 269, 634, 7206, 568, 513, 476, 1911, 260, 1688, 1790, 20557, 3282, 12093, 593, 17198, 543, 568, 538, 519, 1857, 6389, 267, 1818, 621, 2139, 585, 1312, 5010, 543, 2123, 946, 563, 15031, 4459, 8361, 23745, 729, 4535, 538, 23720, 6019, 267, 9098, 267, 543, 26731, 689, 519, 4583, 22267, 18536, 8361, 269, 3571, 1920, 1185, 513, 24873, 602, 1185, 936, 476, 274, 267, 1822, 10437, 267, 799, 6766, 1010, 2038, 1272, 543, 2693, 8032, 1010, 23381, 269, 769, 23531, 4083, 267, 23745, 20502, 1010, 5140, 1983, 538, 7750, 626, 7206, 267, 1210, 7493, 3029, 543, 6422, 5546, 547, 1711, 513, 11617, 10875, 5888, 563, 14454, 267, 23531, 4083, 568, 513, 7415, 1383, 540, 7750, 626, 11247, 2813, 1282, 519, 2038, 14206, 2540, 269, 23745, 779, 2189, 2511, 543, 2553, 1031, 538, 713, 7206, 723, 6766, 824, 5159, 543, 21490, 519, 1259, 585, 2104, 7493, 10367, 269, 634, 7206, 779, 15851, 2298, 543, 922, 11972, 4527, 538, 15882, 1118, 621, 606, 1271, 9295, 547, 519, 1158, 540, 1148, 269, 0, 1692, 1546, 25218, 1242, 2558, 10118, 616, 21744, 519, 11916, 3194, 23721, 454, 32747, 8062, 1404, 513, 2629, 1909, 538, 519, 1646, 540, 1007, 5061, 543, 5574, 267, 855, 2757, 1480, 4791, 8062, 723, 7687, 602, 666, 1764, 519, 14496, 543, 2489, 714, 1464, 540, 519, 2164, 269, 1546, 25218, 1242, 11916, 2558, 10118, 630, 291, 6311, 338, 264, 2709, 513, 3070, 547, 891, 7687, 676, 16107, 2029, 547, 3142, 4791, 8062, 6251, 547, 2550, 267, 7175, 811, 1004, 547, 7119, 538, 1382, 543, 5355, 519, 2949, 2298, 540, 519, 1239, 6394, 563, 1432, 616, 1546, 25218, 1242, 11916, 2558, 10118, 630, 291, 6311, 338, 25145, 5719, 25218, 1242, 4791, 8062, 616, 513, 1826, 540, 4791, 4693, 602, 3096, 2029, 547, 2736, 1524, 7496, 547, 7589, 543, 2445, 1239, 689, 513, 3677, 543, 811, 3309, 2551, 267, 789, 616, 1634, 607, 6552, 610, 5691, 4791, 8062, 269, 9521, 2757, 1101, 538, 1480, 4791, 8062, 267, 799, 616, 1419, 5342, 538, 21438, 6753, 267, 971, 607, 4081, 2564, 7740, 267, 18228, 4791, 8062, 946, 3059, 2645, 547, 3142, 519, 4693, 547, 2550, 267, 7488, 540, 741, 4087, 269, 901, 6087, 2550, 547, 7119, 538, 4791, 8062, 689, 519, 4313, 540, 741, 1378, 5321, 267, 1510, 2348, 547, 2951, 547, 513, 4693, 3135, 269, 1546, 25218, 1242, 4791, 8062, 723, 6591, 8560, 538, 2487, 1296, 607, 513, 1259, 547, 2932, 4791, 1382, 609, 7864, 10923, 543, 2845, 6750, 7496, 563, 7659, 22020, 540, 1546, 25218, 1242, 11916, 2558, 10118, 912, 5719, 25218, 1242, 4791, 8062, 630, 291, 6311, 338, 264, 616, 4742, 5051, 2442, 538, 519, 14453, 2872, 269, 1452, 8062, 616, 2966, 547, 1450, 585, 3152, 3461, 7589, 267, 2569, 3790, 267, 543, 2333, 519, 3432, 540, 3075, 1646, 269, 1703, 616, 1896, 1883, 3334, 602, 1118, 909, 513, 3811, 18228, 4791, 4693, 563, 268, 16353, 2657, 630, 332, 10890, 264, 2645, 281, 544, 10890, 2645, 267, 971, 607, 16389, 543, 28707, 3457, 267, 616, 1031, 547, 2445, 1239, 689, 2550, 543, 6895, 741, 1072, 4567, 563, 268, 18329, 21111, 7304, 788, 9285, 27159, 630, 324, 24165, 2567, 552, 24165, 568, 513, 1505, 585, 10655, 3461, 3146, 19959, 1239, 267, 971, 607, 2589, 267, 2298, 540, 1272, 267, 543, 2126, 9547, 267, 1210, 5907, 3457, 563, 268, 22647, 5464, 281, 22647, 5464, 2636, 585, 519, 6024, 4015, 540, 1239, 689, 2550, 267, 1256, 950, 789, 616, 711, 9308, 1459, 693, 513, 4693, 3135, 563, 19119, 540, 667, 6311, 338, 912, 5719, 25218, 1242, 4791, 8062, 630, 291, 6311, 338, 264, 723, 519, 1761, 547, 2981, 519, 4791, 4693, 1184, 267, 5356, 513, 811, 3461, 7266, 878, 1935, 547, 1382, 269, 1635, 16107, 6552, 5464, 4066, 267, 667, 6311, 338, 1683, 513, 8465, 543, 10375, 4244, 547, 2757, 8062, 267, 799, 1419, 2154, 2550, 547, 2951, 1279, 9883, 547, 7119, 269, 769, 713, 1259, 267, 667, 6311, 338, 2709, 1896, 2640, 602, 666, 2087, 3461, 6278, 543, 12802, 267, 4129, 1518, 3461, 5095, 267, 543, 20928, 1239, 4015, 563, 268, 16842, 3461, 6278, 543, 7589, 281, 1635, 14874, 519, 991, 585, 2550, 547, 2951, 547, 513, 4693, 3135, 267, 667, 6311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1960, 272, 269, 7905, 18703, 7615, 4371, 1585, 10467, 607, 513, 25220, 2997, 328, 1807, 547, 1331, 4051, 532, 538, 519, 15562, 268, 2568, 289, 7256, 8316, 330, 29357, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 518, 984, 18267, 543, 772, 1186, 564, 18401, 9751, 257, 607, 851, 540, 834, 15045, 3198, 9915, 18306, 9569, 1315, 28645, 1315, 15815, 7627, 1299, 22947, 19019, 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, 2026, 596, 1376, 707, 3460, 1934, 267, 649, 1616, 547, 948, 596, 1451, 875, 547, 6330, 835, 540, 519, 1034, 1898, 2238, 3425, 4497, 538, 281, 4974, 269, 769, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 519, 1184, 540, 834, 13231, 344, 14551, 2437, 799, 786, 5512, 596, 547, 10110, 1007, 1702, 543, 1983, 899, 513, 605, 2439, 1262, 3721, 476, 272, 281, 4855, 513, 1290, 13025, 5530, 6611, 630, 10440, 834, 763, 4804, 700, 1515, 8442, 4373, 2414, 2253, 267, 596, 991, 547, 1265, 513, 9602, 267, 18241, 5544, 1141, 596, 666, 1445, 1510, 19240, 269, 901, 568, 2629, 267, 607, 621, 786, 1831, 707, 25113, 585, 1565, 780, 265, 2878, 16498, 5113, 5093, 6733, 1472, 585, 513, 4055, 610, 1858, 609, 8766, 6846, 267, 1906, 1004, 6972, 676, 267, 543, 7899, 540, 2067, 1769, 630, 604, 2009, 1040, 3680, 2127, 2282, 10978, 14233, 267, 4070, 10851, 267, 610, 11112, 10754, 563, 265, 2878, 5353, 908, 28081, 618, 5093, 700, 11229, 513, 6899, 11381, 609, 7850, 1394, 1489, 543, 6190, 1850, 3336, 269, 1411, 1522, 849, 2015, 1210, 513, 31289, 610, 10788, 578, 585, 3063, 4313, 563, 265, 2878, 8368, 270, 5327, 330, 5590, 1575, 5093, 19024, 3054, 693, 513, 19756, 3349, 610, 11380, 602, 2636, 596, 547, 1694, 20354, 609, 707, 7916, 17159, 543, 3946, 2111, 547, 1964, 6366, 593, 519, 2627, 780, 1262, 19522, 689, 5438, 27624, 22996, 16001, 265, 6333, 10115, 538, 513, 1434, 2298, 1353, 17689, 547, 22113, 707, 29683, 267, 2523, 952, 596, 1544, 547, 1353, 1282, 10543, 3108, 563, 265, 5901, 707, 1353, 2230, 6896, 543, 804, 13616, 6954, 547, 2226, 1445, 543, 2569, 2566, 780, 1262, 3721, 476, 273, 281, 20283, 12708, 13088, 630, 10440, 834, 763, 11310, 14173, 8442, 4373, 3086, 602, 596, 4312, 1305, 909, 707, 4804, 700, 1515, 267, 5531, 519, 2556, 2645, 547, 5351, 707, 4974, 7045, 1384, 265, 2878, 16240, 7780, 839, 2812, 5093, 21733, 790, 23445, 267, 22796, 267, 1164, 331, 16146, 267, 543, 12508, 538, 1585, 4778, 547, 1491, 4967, 267, 1711, 12222, 267, 543, 11168, 1271, 2798, 563, 265, 2878, 9616, 9248, 32434, 712, 11594, 5093, 5136, 1555, 1896, 31940, 610, 13746, 4481, 2966, 585, 4063, 23824, 267, 2856, 3919, 267, 543, 1523, 3408, 563, 265, 2878, 19445, 20905, 5093, 25800, 3054, 609, 3457, 971, 607, 24195, 267, 14342, 267, 610, 552, 22345, 619, 267, 799, 666, 1683, 1569, 547, 3059, 2200, 267, 2228, 6030, 267, 543, 3872, 8924, 563, 265, 2878, 27270, 10049, 5093, 11814, 9499, 267, 960, 9248, 267, 8261, 338, 267, 610, 824, 9102, 2326, 4143, 547, 707, 1641, 540, 1719, 780, 1262, 30131, 8881, 2776, 8619, 1903, 16001, 265, 7435, 548, 1603, 27022, 5402, 547, 2057, 10913, 610, 7063, 563, 265, 2142, 13533, 540, 5122, 3106, 950, 1210, 3059, 3457, 282, 1832, 873, 2476, 689, 1216, 543, 2327, 1697, 12123, 2853, 780, 1262, 3721, 476, 274, 281, 5590, 13068, 17644, 543, 13405, 885, 630, 10440, 834, 763, 17030, 16684, 532, 8442, 4373, 6524, 11362, 883, 707, 2090, 267, 5581, 1018, 596, 2832, 547, 3035, 543, 4225, 4247, 9935, 1384, 265, 2878, 26368, 2659, 20505, 5093, 22682, 24808, 1018, 596, 1616, 547, 9585, 267, 2436, 621, 781, 13215, 513, 1808, 5578, 267, 11264, 17440, 267, 610, 8600, 585, 11400, 563, 265, 2878, 17954, 752, 13560, 570, 3696, 5093, 19147, 3677, 3853, 883, 4130, 267, 19242, 25098, 267, 2870, 513, 31387, 585, 707, 1353, 7886, 563, 265, 2878, 8620, 513, 21480, 5093, 4643, 856, 6131, 7161, 540, 942, 585, 4974, 267, 3850, 585, 2834, 9397, 543, 1582, 13282, 2238, 780, 1262, 3682, 9669, 689, 17897, 539, 18623, 16001, 265, 19372, 10853, 6788, 543, 19325, 547, 3950, 3356, 543, 3251, 12592, 563, 265, 5623, 543, 4188, 707, 8430, 5781, 547, 3082, 547, 4657, 6381, 780, 1262, 3721, 476, 275, 281, 18918, 15765, 4804, 11150, 630, 10440, 834, 15447, 1578, 12559, 26975, 25042, 8442, 4373, 4415, 707, 6859, 2312, 267, 621, 781, 942, 547, 4685, 883, 3742, 1565, 2553, 1384, 265, 2878, 20091, 24366, 5093, 3367, 8655, 5931, 267, 2921, 4967, 593, 1883, 2035, 267, 6998, 2055, 267, 543, 28388, 1292, 2093, 563, 265, 2878, 30874, 31962, 5093, 13658, 3054, 593, 5892, 4121, 1570, 267, 17923, 12802, 543, 4396, 4328, 1620, 563, 265, 2878, 24058, 1436, 9828, 5093, 2422, 2790, 2592, 267, 12222, 267, 610, 12383, 547, 1921, 7493, 2035, 547, 6405, 11269, 563, 265, 2878, 20236, 7304, 1030, 3005, 5093, 17115, 2992, 593, 707, 1378, 2219, 3157, 267, 7114, 9342, 267, 12755, 267, 543, 2127, 585, 6454, 780, 1262, 290, 745, 1017, 9442, 10341, 16001, 265, 6657, 13994, 6819, 1950, 2093, 8231, 958, 267, 2901, 16965, 610, 998, 2854, 2792, 563, 265, 3763, 2500, 6947, 1983, 547, 10146, 5528, 267, 15872, 267, 610, 5717, 780, 1262, 3721, 476, 276, 281, 6875, 6601, 6545, 543, 1234, 8408, 630, 10440, 834, 21328, 4676, 3241, 532, 13749, 8442, 4373, 6597, 3539, 2182, 3340, 13350, 29915, 566, 547, 2061, 25794, 1384, 265, 2878, 12648, 10374, 623, 13415, 5093, 5272, 476, 3393, 268, 2568, 3764, 267, 23249, 585, 476, 1015, 268, 1428, 3764, 547, 12701, 267, 1847, 1472, 267, 543, 29295, 707, 2247, 563, 265, 2878, 22134, 3433, 543, 715, 712, 880, 5093, 27276, 1216, 267, 3548, 14312, 16152, 267, 543, 8532, 7059, 6980, 547, 2844, 1648, 2157, 563, 265, 2878, 9824, 1314, 566, 9828, 5093, 19308, 22196, 5751, 267, 9066, 267, 610, 2620, 7244, 547, 4383, 2566, 543, 4160, 780, 1262, 29973, 8682, 4211, 732, 3816, 785, 619, 16001, 265, 5192, 2614, 3207, 630, 278, 268, 280, 3108, 264, 1142, 3781, 547, 19597, 622, 8823, 543, 22507, 5042, 3252, 563, 265, 18918, 538, 2834, 3635, 13467, 547, 2087, 2949, 1134, 5630, 543, 5818, 7099, 780, 23558, 267, 3659, 256, 1635, 1739, 891, 3268, 267, 596, 4312, 6707, 9411, 519, 7706, 540, 834, 13231, 344, 14551, 1701, 5457, 547, 581, 3461, 267, 2186, 267, 543, 17519, 2509, 3054, 2429, 707, 1565, 3460, 269, 8414, 4974, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 19138, 14551, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 6092, 5149, 281, 15147, 339, 15051, 538, 5824, 3013, 910, 589, 12019, 2782, 9452, 692, 7072, 912, 5331, 1373, 513, 21717, 2713, 538, 30188, 1282, 519, 476, 4198, 271, 338, 269, 2290, 1554, 267, 707, 1272, 2242, 950, 11439, 2367, 7088, 883, 707, 1753, 267, 16550, 596, 543, 707, 1920, 547, 4734, 3388, 3297, 543, 25176, 547, 6792, 269, 901, 2965, 5949, 547, 1082, 26976, 753, 1317, 540, 1945, 1572, 1071, 3200, 4238, 269, 2913, 781, 2263, 1018, 713, 2165, 1797, 543, 1946, 621, 5129, 971, 513, 1713, 1909, 538, 5935, 3347, 1063, 519, 2475, 543, 5824, 1977, 2477, 899, 30188, 780, 4089, 476, 272, 281, 1548, 616, 1071, 3200, 4238, 2496, 290, 1478, 339, 4238, 616, 5728, 2238, 602, 6608, 4163, 856, 1510, 16175, 16153, 1154, 741, 9525, 269, 1452, 13485, 1419, 4125, 4987, 8041, 2324, 609, 838, 625, 267, 7980, 267, 543, 824, 4891, 538, 1114, 2477, 269, 1358, 1522, 946, 24320, 2478, 267, 16995, 9163, 267, 610, 6456, 6835, 547, 1832, 1919, 896, 16225, 256, 6884, 891, 3527, 2832, 547, 948, 1004, 2661, 1732, 2729, 282, 2705, 267, 789, 666, 849, 1291, 547, 7526, 543, 2295, 12577, 3871, 780, 4089, 476, 273, 281, 4208, 1705, 1071, 3200, 4238, 4755, 538, 5824, 3013, 2496, 7628, 519, 4571, 268, 5002, 271, 338, 267, 519, 1158, 729, 5258, 1063, 1079, 2706, 335, 10183, 1107, 519, 2136, 2276, 630, 4785, 264, 543, 519, 8168, 5742, 269, 3509, 6082, 1472, 519, 8608, 1185, 547, 3442, 799, 2427, 789, 6462, 269, 4107, 5824, 1977, 2477, 4956, 547, 5447, 2933, 609, 519, 11180, 16431, 6719, 676, 519, 2475, 269, 1717, 267, 930, 8359, 25399, 267, 20483, 676, 519, 8168, 5742, 269, 1677, 2061, 811, 2477, 689, 12561, 25399, 267, 519, 2475, 9250, 1896, 1071, 3200, 4238, 2066, 5824, 3013, 780, 4089, 476, 274, 281, 8865, 5530, 281, 634, 31835, 543, 30188, 630, 4198, 275, 2020, 1103, 476, 4198, 275, 267, 519, 6239, 11106, 10837, 630, 5746, 288, 264, 540, 519, 2475, 5645, 856, 513, 5692, 1634, 607, 20491, 32282, 308, 6717, 8577, 1996, 5518, 15243, 334, 3331, 479, 337, 17754, 345, 540, 30188, 269, 3331, 479, 337, 17754, 345, 4941, 547, 2087, 2175, 585, 4057, 6705, 676, 23799, 1026, 5024, 2244, 11262, 676, 14547, 24873, 5411, 269, 10251, 267, 835, 2101, 2244, 26782, 729, 513, 18294, 689, 519, 2475, 256, 1879, 3331, 479, 337, 17754, 345, 6836, 2921, 1394, 930, 540, 741, 5318, 3601, 267, 519, 2754, 5360, 7134, 547, 519, 2475, 2229, 827, 1010, 834, 10919, 626, 21274, 1701, 1306, 513, 1267, 267, 519, 31835, 3459, 28321, 1996, 1864, 780, 5445, 25945, 2199, 16167, 267, 2813, 18259, 11044, 267, 14102, 31111, 4229, 267, 543, 1256, 588, 3042, 4108, 6285, 269, 16828, 267, 3331, 479, 337, 17754, 345, 759, 11220, 267, 4250, 532, 2417, 1973, 338, 1117, 1851, 1010, 1004, 269, 2755, 646, 8179, 9675, 538, 6792, 267, 5215, 540, 26976, 753, 5185, 20655, 1813, 547, 7080, 545, 687, 540, 5885, 25399, 780, 4089, 476, 275, 281, 2991, 4118, 543, 22684, 692, 763, 21987, 540, 20491, 32282, 308, 6717, 8577, 2451, 30188, 7925, 547, 1480, 2924, 28407, 543, 3540, 2112, 2429, 519, 1985, 1906, 5756, 269, 898, 7012, 1405, 2394, 476, 1960, 277, 602, 4708, 934, 3581, 4547, 6617, 1394, 547, 519, 2197, 269, 1809, 26711, 7283, 2620, 1369, 3885, 945, 4503, 6068, 3283, 610, 11124, 15746, 780, 1607, 1650, 5713, 607, 1175, 835, 1383, 540, 875, 1071, 3200, 4238, 12936, 5824, 3013, 1282, 519, 12019, 2782, 5736, 269, 5381, 2984, 11200, 539, 11992, 538, 16266, 267, 8478, 267, 18335, 267, 543, 18010, 1765, 5976, 8795, 5232, 540, 1967, 543, 4539, 269, 1635, 1620, 891, 2621, 267, 649, 1451, 3407, 4245, 827, 23372, 267, 1379, 6384, 267, 543, 938, 5539, 2509, 5009, 5126, 5001, 780, 6962, 1384, 4407, 7234, 3584, 899, 1071, 3200, 4238, 949, 3100, 11397, 689, 4948, 1272, 267, 3695, 3140, 2665, 2337, 721, 5660, 519, 6946, 2470, 540, 3486, 12602, 543, 741, 2484, 23568, 2360, 269, 5664, 1153, 1053, 666, 2721, 6667, 689, 1565, 827, 1483, 3734, 2591, 5185, 676, 2043, 543, 2950, 2066, 10665, 1247, 10452, 2390, 519, 2956, 540, 3743, 5718, 543, 5683, 3375, 6194, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30399, 6340, 267, 24845, 1894, 1063, 519, 1585, 2477, 540, 5824, 3013, 543, 519, 2136, 2276, 540, 3013, 723, 1044, 15491, 543, 1950, 267, 693, 2053, 3989, 676, 2178, 6237, 9316, 543, 693, 1866, 4904, 609, 2804, 543, 2797, 8082, 543, 31195, 269, 4014, 1894, 1063, 519, 772, 2529, 269, 2229, 543, 1034, 540, 5824, 3013, 941, 3908, 1991, 547, 519, 3735, 476, 5197, 271, 338, 267, 585, 1034, 540, 519, 2250, 2540, 267, 519, 2136, 2276, 814, 796, 334, 1553, 6053, 9833, 2694, 540, 5824, 3013, 607, 1369, 922, 12106, 540, 3310, 267, 543, 585, 1454, 540, 519, 12019, 2782, 630, 3707, 278, 1700, 1960, 272, 1070, 8362, 642, 1221, 609, 519, 8168, 5742, 585, 3310, 538, 519, 5375, 25955, 563, 9213, 267, 519, 13218, 1063, 519, 2136, 2276, 543, 1034, 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 ]
[ 4220, 540, 3935, 2860, 454, 7212, 3935, 2860, 666, 581, 10728, 267, 621, 568, 4749, 2352, 547, 13209, 269, 3194, 814, 7000, 602, 1519, 12015, 726, 4548, 538, 707, 2732, 949, 2539, 707, 1981, 540, 3384, 3935, 2860, 269, 10791, 666, 948, 2061, 3935, 2860, 563, 28848, 12015, 726, 4548, 666, 3986, 543, 2333, 519, 26168, 630, 528, 1434, 4551, 264, 538, 519, 3935, 267, 2687, 547, 1382, 689, 7147, 589, 261, 300, 2160, 543, 519, 2160, 540, 3345, 10491, 269, 16690, 2860, 1981, 666, 581, 8519, 607, 513, 1267, 540, 713, 563, 22517, 739, 338, 4887, 6051, 454, 2791, 2154, 18664, 517, 267, 513, 7777, 267, 538, 1931, 547, 2226, 519, 1852, 936, 707, 6091, 269, 8617, 16757, 7063, 616, 513, 1025, 520, 656, 1129, 602, 707, 1560, 2115, 811, 18664, 517, 538, 707, 2732, 269, 14856, 513, 2635, 9570, 540, 929, 17480, 666, 9090, 948, 596, 609, 621, 563, 7468, 17480, 616, 2808, 15988, 797, 338, 1317, 540, 741, 1390, 9422, 1871, 543, 519, 1072, 2640, 789, 1683, 269, 1358, 666, 581, 29656, 22872, 543, 3773, 547, 3905, 610, 4411, 11188, 16466, 267, 20762, 607, 513, 4006, 12990, 538, 4832, 10425, 543, 5347, 625, 267, 610, 1031, 607, 23739, 4402, 269, 2398, 17480, 616, 513, 1390, 840, 22086, 719, 1426, 2094, 789, 616, 1164, 538, 6775, 543, 1683, 596, 609, 811, 1648, 269, 2398, 17480, 666, 849, 581, 3769, 538, 29902, 8286, 269, 26023, 267, 929, 17480, 979, 1134, 609, 1022, 8670, 596, 1131, 4196, 609, 986, 529, 1231, 269, 1677, 1118, 513, 14036, 602, 4422, 1134, 609, 9269, 610, 6477, 267, 31652, 929, 17480, 543, 13212, 538, 9269, 6006, 269, 2398, 17480, 666, 849, 581, 1031, 607, 513, 547, 6137, 585, 16741, 267, 3443, 31817, 267, 543, 530, 3530, 956, 547, 1039, 8137, 269, 23875, 568, 1055, 29438, 1080, 609, 513, 2635, 7674, 540, 930, 6484, 958, 6225, 929, 17480, 269, 3807, 1118, 2386, 547, 4444, 519, 5214, 929, 17480, 1510, 1022, 3773, 4006, 269, 0, 290, 10635, 617, 3796, 616, 4241, 543, 12194, 727, 7068, 267, 543, 2059, 609, 16142, 2221, 789, 616, 693, 519, 1283, 540, 519, 1426, 5832, 538, 519, 10960, 8003, 269, 16989, 5186, 14369, 723, 3592, 1100, 2067, 14763, 267, 6306, 689, 3425, 269, 595, 10635, 617, 3796, 616, 930, 540, 3047, 779, 9510, 11317, 267, 27312, 827, 476, 11463, 2929, 1296, 3516, 689, 519, 1875, 268, 822, 1014, 20641, 1765, 335, 12065, 657, 1276, 2103, 20196, 7902, 476, 27886, 2929, 1296, 3516, 269, 769, 1840, 547, 25438, 3796, 267, 15554, 657, 1276, 2103, 3769, 1346, 2895, 14795, 602, 941, 811, 5702, 1644, 547, 25438, 3796, 982, 547, 5017, 563, 15862, 281, 15776, 1054, 334, 24120, 18995, 2185, 25438, 3796, 593, 513, 3109, 4282, 269, 901, 24120, 949, 1152, 581, 1031, 676, 519, 10424, 2777, 269, 630, 8624, 27928, 4972, 267, 2817, 7467, 994, 2026, 741, 1279, 6228, 5267, 267, 15554, 657, 1276, 2103, 267, 543, 25438, 3796, 538, 1880, 267, 723, 930, 2189, 2934, 602, 24458, 741, 6668, 998, 1896, 2101, 2067, 12469, 267, 799, 16094, 12936, 519, 3047, 779, 9265, 269, 7136, 633, 15027, 26706, 693, 519, 1439, 540, 519, 10222, 26226, 267, 602, 568, 5111, 476, 1220, 2929, 1296, 3516, 267, 530, 21317, 856, 1082, 267, 855, 711, 782, 267, 1287, 8789, 15554, 657, 1276, 2103, 543, 4847, 519, 17878, 543, 533, 614, 14795, 547, 8853, 269, 1717, 267, 476, 5780, 2929, 1296, 3516, 513, 14368, 924, 267, 799, 1793, 25428, 883, 519, 4262, 2282, 6792, 543, 8507, 538, 1018, 568, 2221, 1634, 607, 519, 932, 545, 343, 592, 889, 9197, 831, 267, 3361, 513, 2527, 14486, 602, 16701, 5344, 519, 21300, 2551, 267, 855, 838, 1563, 519, 25438, 3796, 256, 1635, 602, 942, 267, 789, 2907, 3964, 2933, 538, 12748, 9249, 543, 6743, 7168, 1454, 607, 789, 798, 2221, 563, 1432, 2693, 10710, 519, 25438, 850, 585, 6634, 540, 1296, 568, 922, 2702, 547, 4188, 547, 2479, 19145, 543, 1419, 8801, 2067, 6381, 609, 14624, 2919, 1282, 513, 3500, 1184, 540, 4720, 269, 3683, 942, 267, 519, 25438, 850, 9927, 922, 2960, 883, 513, 536, 3415, 6186, 712, 602, 6227, 1034, 540, 922, 1560, 267, 2919, 2178, 10265, 6091, 267, 513, 3532, 4761, 1062, 267, 7180, 547, 1852, 922, 1560, 2837, 543, 4359, 10307, 602, 2337, 8415, 5176, 782, 519, 1426, 519, 25438, 850, 27499, 267, 799, 568, 1946, 5186, 14369, 666, 979, 585, 936, 513, 1032, 1510, 2348, 513, 7594, 269, 7201, 3665, 2175, 267, 789, 666, 9505, 1524, 543, 2661, 1055, 741, 3170, 14425, 543, 4887, 5160, 585, 513, 1279, 1974, 540, 942, 269, 4256, 7181, 568, 519, 1034, 15755, 540, 782, 30900, 543, 5186, 14369, 666, 3548, 3592, 4376, 267, 607, 789, 616, 2111, 547, 7558, 7633, 267, 28712, 267, 11876, 7174, 267, 16115, 267, 543, 865, 8521, 1107, 4986, 568, 2451, 3297, 269, 634, 2182, 3615, 948, 547, 20836, 21432, 1426, 543, 5186, 14369, 786, 3006, 22393, 15179, 890, 6277, 956, 547, 5351, 519, 1184, 269, 901, 4356, 1131, 2663, 1404, 513, 1909, 538, 930, 540, 519, 2686, 2853, 4448, 609, 25438, 3796, 563, 1103, 713, 2376, 267, 519, 1445, 568, 593, 519, 20407, 25438, 850, 630, 290, 10635, 1328, 331, 639, 562, 559, 5328, 639, 1070, 799, 568, 1419, 849, 5219, 547, 607, 519, 3979, 595, 10635, 617, 850, 269, 9717, 922, 5920, 543, 9058, 4162, 267, 621, 568, 5667, 584, 19828, 602, 519, 25438, 850, 26328, 606, 1271, 1747, 538, 519, 2686, 2853, 540, 1896, 2516, 2066, 4000, 267, 4358, 689, 5527, 782, 519, 1259, 1524, 547, 3162, 4000, 269, 4595, 3504, 2053, 267, 519, 25438, 850, 814, 1044, 4730, 513, 1713, 1909, 538, 519, 12266, 2486, 269, 3502, 1152, 729, 621, 2404, 609, 590, 984, 2131, 267, 513, 10143, 2149, 528, 543, 12115, 518, 267, 855, 972, 568, 849, 2963, 602, 25438, 3796, 941, 26870, 607, 10130, 585, 519, 10424, 10470, 267, 607, 1134, 607, 585, 741, 3170, 602, 729, 1031, 607, 513, 4915, 547, 13468, 2168, 31191, 267, 20765, 543, 1256, 24052, 1145, 269, 9603, 547, 519, 25438, 850, 779, 10723, 4567, 267, 713, 4573, 328, 729, 1034, 2693, 11603, 585, 28370, 1152, 269, 634, 9147, 12266, 20562, 515, 517, 540, 10971, 543, 15831, 525, 729, 3833, 11141, 267, 609, 5111, 476, 5611, 271, 4408, 267, 855, 711, 6378, 607, 1007, 10971, 1131, 2408, 543, 1866, 1131, 24044, 547, 581, 26902, 5792, 269, 590, 984, 2131, 1185, 3833, 513, 1279, 7555, 538, 519, 12266, 20562, 515, 517, 689, 2235, 320, 476, 28803, 277, 14514, 909, 547, 519, 1439, 540, 519, 4936, 1974, 693, 476, 12573, 9460, 1107, 602, 568, 936, 476, 4968, 271, 1296, 256, 590, 984, 2131, 729, 1419, 13269, 607, 513, 1480, 609, 513, 25438, 850, 2212, 267, 855, 849, 538, 922, 2067, 1106, 609, 1100, 1480, 2934, 269, 898, 568, 267, 4061, 267, 711, 9490, 602, 1082, 540, 519, 14155, 730, 9723, 2125, 8659, 544, 17026, 1881, 25438, 3796, 269, 3683, 942, 267, 590, 984, 2131, 24673, 609, 824, 10971, 799, 6039, 547, 22937, 1864, 811, 1379, 269, 4438, 519, 12081, 540, 2549, 523, 655, 1002, 8633, 630, 866, 628, 1700, 1240, 628, 5553, 14514, 282, 3828, 27097, 19092, 1070, 585, 3236, 267, 590, 984, 2131, 729, 535, 4310, 609, 1234, 6953, 541, 752, 6255, 328, 630, 320, 3859, 25976, 264, 883, 590, 984, 2131, 268, 3725, 543, 13269, 609, 513, 25438, 850, 1560, 543, 513, 23881, 935, 2212, 563, 28074, 2417, 5045, 649, 1265, 1776, 2686, 1895, 267, 519, 966, 12629, 267, 703, 2954, 4448, 547, 519, 25438, 850, 269, 634, 966, 12629, 267, 610, 966, 3873, 309, 523, 21681, 497, 320, 267, 1004, 2661, 538, 519, 1459, 6377, 7799, 16647, 334, 19435, 538, 3162, 4000, 267, 3592, 593, 519, 8473, 609, 25472, 269, 634, 966, 12629, 723, 513, 2673, 5289, 7681, 609, 1216, 7068, 543, 14326, 267, 543, 8235, 8750, 15120, 328, 267, 1851, 1866, 267, 2934, 30326, 538, 741, 2984, 269, 8235, 8750, 15120, 328, 568, 13883, 693, 519, 9087, 1054, 1571, 540, 519, 590, 719, 321, 753, 6199, 267, 543, 513, 10828, 1936, 919, 602, 519, 10720, 729, 2813, 676, 513, 31169, 950, 513, 8429, 682, 704, 729, 15189, 1426, 543, 12062, 538, 519, 8498, 269, 634, 8498, 729, 27876, 543, 20374, 896, 519, 9241, 4646, 10720, 269, 8235, 8750, 15120, 328, 1281, 711, 1152, 723, 513, 19416, 3043, 13131, 630, 7090, 264, 855, 849, 513, 3043, 25438, 850, 267, 799, 22651, 519, 15293, 338, 540, 519, 966, 12629, 11937, 945, 21078, 9944, 519, 1216, 2627, 269, 966, 12629, 8783, 338, 1131, 3548, 1426, 11273, 609, 890, 6277, 956, 689, 513, 25438, 850, 779, 7181, 1282, 741, 10380, 16008, 538, 1931, 547, 1491, 593, 519, 3532, 10305, 540, 25438, 3796, 269, 769, 519, 966, 12629, 2528, 267, 519, 25438, 850, 568, 2769, 569, 2404, 609, 3401, 563, 15862, 281, 15776, 1054, 334, 10359, 540, 7916, 281, 674, 3317, 14114, 17907, 328, 290, 1107, 13574, 960, 267, 22816, 12855, 5398, 23792, 454, 14738, 593, 519, 5131, 3557, 779, 7450, 21163, 568, 519, 2244, 6674, 539, 2197, 267, 519, 8003, 540, 15776, 1054, 334, 269, 634, 25234, 334, 6511, 568, 835, 540, 519, 4102, 804, 753, 538, 15776, 1054, 334, 543, 922, 10359, 540, 7916, 12217, 513, 25438, 850, 593, 513, 13104, 267, 1166, 1678, 539, 676, 1079, 5178, 1054, 334, 533, 23888, 269, 623, 23888, 616, 513, 2101, 1106, 540, 3560, 585, 1082, 538, 519, 27726, 29990, 14099, 540, 15776, 1054, 334, 267, 855, 713, 568, 711, 519, 2067, 7226, 540, 519, 25438, 850, 269, 634, 25438, 850, 568, 267, 2705, 267, 12572, 540, 519, 25234, 334, 6511, 779, 1747, 540, 5169, 538, 519, 3148, 1063, 519, 25795, 14150, 543, 7799, 16647, 334, 8933, 267, 799, 616, 2407, 540, 25438, 3796, 269, 769, 590, 525, 1054, 334, 543, 30498, 32272, 267, 25234, 334, 6511, 12777, 1797, 2048, 15161, 945, 9006, 4733, 519, 25438, 850, 9957, 631, 9655, 3996, 21539, 594, 267, 519, 1101, 4622, 540, 15776, 1054, 334, 267, 729, 689, 519, 645, 600, 758, 582, 7942, 630, 300, 5255, 25625, 264, 7936, 540, 519, 28334, 269, 25234, 334, 6511, 4978, 538, 2474, 540, 519, 25438, 850, 616, 1360, 2147, 547, 1346, 540, 519, 2038, 21072, 269, 898, 568, 26060, 607, 513, 5601, 267, 855, 6466, 21072, 1131, 3006, 6146, 25438, 3796, 585, 16392, 5301, 267, 519, 25234, 334, 6511, 3494, 602, 11318, 513, 25438, 850, 1131, 28148, 1860, 4764, 3270, 267, 3056, 547, 2901, 2698, 10980, 610, 14700, 269, 769, 1840, 267, 519, 25438, 850, 568, 2808, 547, 581, 519, 25234, 334, 6511, 779, 5601, 569, 4651, 267, 865, 519, 20982, 11318, 540, 513, 25438, 850, 5666, 547, 12638, 563, 763, 15776, 1054, 334, 10359, 540, 7916, 1281, 711, 4183, 593, 922, 3084, 9206, 267, 855, 621, 1281, 30164, 519, 10424, 3044, 269, 15776, 1054, 334, 568, 4583, 585, 922, 29198, 543, 835, 1374, 538, 1880, 814, 513, 25438, 850, 14953, 267, 855, 602, 949, 1152, 581, 12816, 676, 28370, 269, 634, 2817, 7467, 814, 513, 4190, 4015, 540, 20077, 11308, 25438, 3796, 543, 513, 544, 17026, 1881, 25438, 850, 2212, 602, 6039, 607, 513, 1352, 987, 585, 513, 546, 16925, 543, 568, 4867, 593, 4159, 538, 519, 9754, 563, 2304, 11345, 269, 476, 1001, 272, 269, 595, 10635, 617, 850, 11580, 540, 6668, 269, 4179, 2517, 4178, 4877, 2125, 3820, 270, 1233, 564, 14672, 1155, 4882, 1575, 619, 1125, 2275, 10635, 338, 2275, 10635, 617, 850, 5498, 29290, 6361, 1606, 584, 341, 2526, 270, 11260, 271, 630, 4958, 7205, 593, 476, 2420, 5181, 476, 1708, 274, 994, 1015, 12292, 609, 840, 3620, 626, 7595, 5072, 1923, 18917, 3047, 269, 4179, 2517, 4178, 269, 6277, 576, 14390, 2593, 630, 4958, 7205, 593, 476, 2537, 5181, 476, 1708, 274, 994, 291, 1941, 534, 267, 590, 2529, 269, 476, 4350, 275, 269, 634, 25438, 850, 538, 3162, 3979, 4984, 543, 12563, 561, 648, 269, 3162, 3979, 4750, 540, 3163, 267, 476, 4029, 267, 476, 275, 4817, 268, 275, 4200, 269, 4179, 2517, 24863, 331, 269, 8518, 548, 14492, 270, 10755, 736, 12458, 297, 288, 19740, 279, 2537, 7871, 318, 277, 4510, 277, 454, 292, 961, 523, 31000, 267, 667, 12171, 269, 1299, 5839, 326, 2958, 528, 267, 808, 5861, 269, 476, 4489, 273, 269, 3778, 540, 519, 5178, 19513, 9147, 1299, 7073, 269, 5507, 281, 6970, 868, 517, 14539, 7577, 267, 13456, 563, 293, 578, 2401, 267, 918, 6185, 269, 476, 1220, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 681, 778, 1475, 273, 1475, 1724, 1475, 274, 1475, 273, 1475, 279, 1475, 275, 628, 538, 11632, 476, 1220, 275, 1475, 278, 628, 538, 744, 294, 476, 1220, 275, 2008, 347, 13707, 1475, 2420, 1475, 13670, 1475, 6321, 1475, 2420, 1475, 6872, 1475, 22068, 591, 538, 11632, 476, 1001, 277, 1475, 1321, 628, 538, 744, 294, 476, 1001, 273, 2008, 347, 280, 1475, 2735, 273, 1475, 25911, 321, 597, 19453, 29447, 13954, 273, 1475, 1556, 1475, 279, 1475, 271, 1475, 274, 1475, 289, 1258, 2763, 538, 11632, 476, 2735, 273, 1475, 301, 6579, 2008, 347, 1015, 1475, 2735, 271, 268, 10844, 1475, 289, 1779, 529, 1156, 19453, 1475, 275, 1475, 1839, 1475, 1691, 1475, 275, 1475, 278, 1475, 20112, 538, 744, 294, 476, 2735, 271, 1475, 278, 628, 538, 744, 294, 476, 1960, 273, 2008, 347, 1556, 1475, 1220, 273, 268, 1220, 274, 1475, 305, 1690, 5407, 19453, 29447, 13954, 275, 1475, 2420, 1475, 1556, 1475, 273, 1475, 280, 1475, 20112, 538, 8028, 476, 1220, 274, 1475, 301, 6579, 2008, 347, 1321, 1475, 1960, 274, 268, 1960, 275, 1475, 313, 2378, 541, 594, 336, 4472, 1475, 273, 1475, 1556, 1475, 278, 1475, 273, 1475, 273, 1475, 22068, 591, 538, 8028, 11152, 267, 8980, 11463, 1475, 301, 6579, 2008, 347, 1724, 1475, 1960, 279, 1475, 300, 298, 18087, 2313, 1731, 1475, 273, 1475, 1724, 1475, 280, 1475, 273, 1475, 273, 1475, 20112, 538, 17985, 476, 1960, 279, 1475, 301, 6579, 2008, 347, 1691, 1475, 2735, 277, 268, 1960, 271, 1475, 297, 299, 1744, 12609, 1475, 273, 1475, 1321, 1475, 277, 1475, 273, 1475, 275, 1475, 22068, 591, 538, 8028, 476, 1960, 271, 1475, 275, 628, 538, 476, 2735, 271, 11632, 2008, 347, 1428, 1475, 2735, 279, 268, 1960, 271, 1475, 6573, 717, 6951, 327, 1475, 276, 1475, 3066, 1475, 280, 1475, 275, 1475, 1626, 1475, 22068, 591, 538, 8028, 476, 2735, 280, 1475, 1015, 628, 538, 654, 290, 476, 1960, 271, 2008, 347, 1626, 1475, 1960, 275, 268, 1220, 273, 1475, 290, 539, 878, 667, 24202, 537, 5633, 1475, 275, 1475, 2190, 1475, 276, 1475, 280, 1475, 1015, 1475, 301, 6579, 1475, 279, 628, 538, 744, 294, 476, 1960, 277, 2008, 347, 1704, 1475, 1960, 277, 268, 1220, 277, 1475, 309, 11065, 2532, 15546, 1475, 277, 1475, 4343, 1475, 1626, 1475, 277, 1475, 1626, 1475, 289, 1258, 2763, 538, 8028, 476, 1960, 280, 1475, 1556, 628, 538, 654, 290, 476, 1220, 277, 2008, 347, 1240, 1475, 2735, 273, 268, 2735, 277, 1475, 295, 1301, 1731, 19453, 1475, 275, 1475, 2190, 1475, 1321, 1475, 273, 1475, 1015, 1475, 22068, 591, 538, 8028, 476, 2735, 273, 1475, 1321, 628, 538, 654, 290, 476, 2735, 277, 2008, 347, 866, 1475, 1220, 280, 1475, 295, 732, 526, 571, 19453, 1475, 272, 1475, 275, 1475, 273, 1475, 272, 1475, 272, 1475, 301, 6579, 1475, 276, 628, 538, 8028, 476, 1220, 280, 2008, 347, 736, 1475, 3192, 277, 1475, 294, 584, 889, 5060, 19453, 1475, 272, 1475, 279, 1475, 275, 1475, 272, 1475, 274, 1475, 301, 6579, 1475, 278, 628, 538, 744, 294, 476, 3192, 277, 2008, 347, 2641, 1475, 1220, 276, 268, 1220, 277, 1475, 305, 1690, 5407, 19453, 12789, 13954, 273, 1475, 1556, 1475, 274, 1475, 272, 1475, 278, 1475, 301, 6579, 1475, 277, 628, 538, 595, 310, 294, 476, 1220, 277, 2008, 347, 295, 732, 526, 571, 19453, 1475, 2026, 1014, 3756, 27705, 12413, 2056, 22299, 1475, 293, 19691, 538, 7489, 10632, 543, 2622, 19067, 22588, 325, 1400, 2530, 2008, 347, 2537, 1475, 1220, 278, 268, 1220, 279, 1475, 297, 269, 2961, 1998, 14833, 1475, 272, 1475, 278, 1475, 278, 1475, 271, 1475, 271, 1475, 20112, 538, 8028, 476, 1220, 278, 1475, 293, 9229, 547, 20618, 454, 347, 13707, 1475, 2412, 1475, 26839, 1475, 13647, 1475, 3607, 1475, 3445, 1475, 20112, 538, 744, 294, 476, 2735, 271, 1475, 8253, 19120, 1881, 476, 1220, 279, 744, 294, 2008, 20288, 793, 3213, 2851, 476, 6078, 269, 2004, 14999, 24465, 3213, 2851, 476, 5325, 269, 1789, 14999, 26046, 6920, 811, 1199, 1023, 676, 4095, 19393, 2864, 982, 4914, 3213, 2851, 454, 2735, 277, 547, 476, 1001, 278, 10782, 5123, 540, 4095, 670, 15736, 634, 2079, 540, 519, 7305, 476, 279, 6920, 602, 4914, 19393, 10093, 1406, 2944, 4376, 7415, 585, 4095, 19735, 538, 6935, 547, 519, 9541, 1500, 543, 621, 1131, 581, 1732, 519, 4914, 19393, 6108, 942, 693, 519, 6371, 3597, 1377, 543, 593, 715, 3041, 19393, 543, 4734, 519, 18006, 540, 519, 4095, 2427, 547, 519, 1753, 3766, 3497, 13007, 269, 8672, 547, 31739, 585, 11846, 16958, 540, 3127, 543, 670, 15736, 3127, 11570, 563, 301, 3041, 3213, 2286, 5358, 454, 763, 18006, 1982, 2196, 676, 519, 2817, 4659, 540, 11846, 814, 3812, 1360, 1906, 1390, 19393, 945, 1223, 11457, 883, 2817, 2319, 19393, 269, 4107, 540, 873, 3238, 538, 519, 6371, 3597, 1377, 18006, 723, 2944, 513, 22510, 2816, 693, 519, 6280, 1377, 267, 855, 519, 715, 3041, 1982, 568, 1336, 16462, 538, 3384, 1164, 9043, 19393, 538, 1804, 2338, 269, 901, 4603, 2094, 519, 4571, 476, 3199, 779, 814, 711, 20328, 519, 7678, 538, 519, 2197, 779, 2773, 538, 519, 3486, 26750, 543, 8754, 594, 295, 293, 26260, 296, 5170, 547, 1413, 585, 4914, 19393, 547, 4383, 519, 2319, 799, 568, 8909, 1533, 540, 26035, 269, 2290, 1713, 9295, 540, 519, 715, 3041, 18006, 1982, 568, 602, 11114, 16455, 13690, 590, 836, 268, 678, 344, 592, 267, 945, 1185, 513, 715, 3041, 4110, 689, 4793, 658, 320, 267, 3576, 9705, 547, 519, 16727, 3803, 543, 1185, 513, 1863, 2196, 585, 476, 1015, 1296, 1354, 1373, 8719, 563, 19328, 781, 18648, 2773, 538, 3486, 5026, 2621, 568, 513, 3978, 6161, 585, 782, 5026, 18798, 269, 2991, 1169, 3486, 2680, 267, 581, 621, 7489, 10632, 267, 519, 1455, 17314, 10632, 610, 16727, 10632, 267, 513, 2603, 540, 27280, 543, 3956, 568, 6659, 538, 12057, 267, 538, 519, 1857, 543, 538, 519, 2046, 269, 4208, 568, 621, 602, 267, 3127, 799, 16034, 3791, 5207, 538, 8036, 3621, 543, 2930, 812, 12741, 267, 1985, 1152, 547, 519, 7330, 543, 28268, 267, 561, 4711, 3297, 1256, 1507, 6082, 899, 519, 5125, 610, 3567, 269, 589, 5318, 2197, 899, 3127, 609, 513, 2551, 540, 811, 982, 476, 1911, 5186, 637, 267, 15824, 865, 14605, 538, 3486, 2621, 267, 950, 1507, 2477, 899, 3162, 9705, 609, 15991, 513, 14206, 540, 3127, 781, 2551, 723, 1378, 476, 1691, 811, 4154, 1199, 1023, 1287, 519, 2698, 540, 713, 2197, 781, 4154, 267, 8988, 543, 19730, 1199, 1023, 2322, 1927, 630, 9281, 9720, 305, 476, 1220, 273, 1916, 299, 871, 540, 946, 540, 3381, 12642, 267, 8121, 267, 15283, 267, 19182, 267, 14464, 11106, 538, 519, 18006, 2553, 814, 8507, 538, 4057, 946, 540, 2029, 585, 2866, 5716, 543, 18867, 3213, 2851, 946, 8937, 1745, 543, 20932, 2864, 982, 12642, 538, 519, 18006, 1982, 563, 2419, 4474, 21537, 10176, 540, 519, 22505, 454, 2005, 729, 2312, 1287, 267, 602, 10991, 8486, 2583, 2965, 3132, 513, 2898, 1007, 3014, 267, 11562, 13589, 513, 2898, 1007, 1935, 543, 513, 2898, 1007, 813, 28328, 267, 3937, 910, 519, 1434, 2025, 15273, 9440, 14788, 7444, 5795, 1259, 547, 27948, 543, 4017, 1120, 20199, 16853, 282, 519, 3804, 26283, 1810, 2740, 513, 10060, 12668, 1413, 910, 24743, 267, 1159, 1442, 267, 7463, 14736, 619, 543, 17426, 21181, 269, 1715, 2000, 809, 19735, 4203, 625, 1027, 547, 519, 7569, 540, 2413, 7328, 281, 17726, 267, 26176, 2088, 543, 4222, 8719, 1016, 331, 830, 5578, 267, 543, 267, 8825, 10591, 971, 607, 10733, 22651, 543, 3068, 13968, 585, 2361, 5716, 1932, 1500, 741, 5920, 269, 634, 3440, 4957, 689, 519, 1434, 2025, 694, 3139, 16463, 547, 513, 838, 515, 5514, 1500, 540, 513, 7848, 540, 12285, 543, 5068, 267, 3897, 9482, 547, 2569, 14320, 2362, 29702, 982, 14754, 593, 2067, 6371, 269, 1280, 519, 11739, 697, 6361, 11804, 7376, 525, 267, 519, 1007, 5736, 4371, 522, 2381, 748, 2062, 321, 617, 902, 630, 15674, 296, 476, 1001, 271, 1916, 22349, 8527, 584, 325, 729, 32366, 539, 538, 670, 15736, 2022, 5336, 2632, 9418, 21396, 630, 3192, 277, 1040, 4095, 670, 15736, 814, 1044, 10010, 2094, 1287, 269, 634, 3652, 723, 1044, 17646, 651, 1042, 547, 9290, 519, 1007, 4730, 2175, 543, 519, 4367, 540, 5841, 2627, 814, 4957, 519, 1259, 519, 3014, 729, 5129, 4505, 269, 772, 332, 25378, 4441, 723, 4824, 15186, 609, 519, 5351, 540, 2029, 543, 579, 5404, 2231, 18006, 269, 11473, 10526, 540, 3664, 267, 2866, 540, 579, 5404, 2231, 814, 6659, 519, 3046, 269, 10089, 330, 540, 519, 7664, 540, 519, 3652, 568, 14018, 547, 3864, 2511, 540, 19735, 563, 1103, 1931, 547, 1118, 19735, 5488, 543, 811, 22215, 267, 519, 4139, 670, 15736, 18966, 630, 293, 296, 295, 264, 814, 4299, 1079, 2101, 4341, 2242, 267, 1519, 519, 20552, 540, 1279, 15174, 267, 799, 2968, 2500, 689, 5130, 476, 272, 267, 476, 1001, 276, 630, 763, 9699, 476, 1001, 275, 1916, 763, 1689, 538, 519, 15163, 7944, 267, 1279, 7944, 267, 5906, 1404, 267, 18839, 3652, 267, 15163, 9496, 719, 543, 8653, 540, 519, 3014, 723, 782, 12936, 519, 2095, 540, 519, 3014, 269, 13038, 2242, 538, 2656, 19588, 723, 909, 549, 6838, 519, 1016, 18626, 30993, 540, 519, 3014, 269, 634, 2627, 814, 20427, 12012, 519, 3432, 267, 5578, 5036, 543, 5250, 540, 1404, 711, 547, 519, 5413, 540, 519, 6887, 540, 519, 1016, 9762, 5799, 269, 634, 1942, 540, 4730, 3937, 779, 267, 19735, 6529, 267, 519, 3440, 3092, 1421, 814, 21235, 621, 856, 540, 3914, 540, 519, 1455, 6345, 538, 519, 6917, 6429, 563, 299, 871, 540, 2413, 18006, 267, 5841, 7252, 267, 6360, 8279, 267, 13384, 11208, 585, 519, 4730, 20164, 543, 4876, 4316, 814, 1500, 19735, 711, 865, 10694, 936, 519, 1296, 269, 11683, 640, 540, 519, 5716, 546, 27681, 519, 3084, 15437, 3357, 689, 519, 7896, 267, 12565, 1811, 267, 543, 17318, 6887, 1519, 29172, 293, 267, 10911, 303, 293, 543, 4095, 5794, 6050, 630, 21080, 3127, 264, 16310, 24434, 267, 29550, 543, 824, 3056, 11833, 338, 269, 2060, 519, 2229, 543, 20237, 5823, 711, 7393, 519, 5989, 585, 519, 7328, 547, 21707, 267, 8572, 547, 1683, 6009, 538, 519, 5551, 2338, 267, 519, 8404, 543, 1445, 729, 15877, 936, 519, 2063, 1079, 5756, 267, 799, 814, 1185, 513, 8101, 1764, 593, 519, 7328, 563, 11514, 23002, 540, 24812, 543, 3213, 2851, 454, 2026, 829, 519, 3009, 540, 2932, 3561, 3370, 676, 519, 31254, 585, 519, 670, 15736, 21597, 519, 5539, 540, 519, 16840, 540, 670, 15736, 3127, 630, 1001, 280, 264, 4171, 6887, 616, 10283, 547, 4051, 741, 5716, 543, 2319, 8387, 607, 547, 519, 14074, 540, 713, 8943, 540, 18430, 269, 2353, 16840, 540, 670, 15736, 3127, 4927, 2671, 4745, 543, 1896, 20824, 609, 741, 5716, 543, 2319, 8387, 1058, 23563, 540, 519, 670, 15736, 3127, 6465, 2373, 267, 16390, 543, 22769, 2049, 269, 630, 295, 15736, 3127, 476, 1708, 271, 1040, 1717, 267, 649, 25864, 1294, 19393, 267, 9946, 543, 824, 7196, 25963, 10336, 2213, 1577, 4805, 5716, 945, 1205, 2476, 3833, 1419, 538, 519, 6469, 4663, 23788, 563, 32513, 1190, 967, 529, 23002, 2152, 1813, 547, 796, 745, 569, 6345, 7180, 267, 678, 3999, 593, 519, 2361, 538, 6469, 4663, 23788, 723, 12517, 546, 5034, 519, 7328, 543, 519, 3119, 2014, 585, 519, 9178, 269, 634, 7245, 540, 519, 1489, 676, 594, 295, 293, 543, 31254, 568, 2484, 689, 14909, 609, 14761, 610, 796, 8588, 2043, 8066, 593, 547, 9708, 4611, 538, 3668, 540, 1445, 543, 4057, 10350, 269, 901, 814, 8507, 538, 19393, 267, 8387, 543, 5716, 2348, 513, 1863, 2196, 543, 711, 1373, 14931, 2687, 547, 519, 3652, 543, 6891, 540, 519, 3014, 269, 3509, 2150, 578, 731, 11841, 5473, 5716, 267, 579, 5404, 2231, 543, 8387, 593, 519, 2361, 5170, 547, 20807, 519, 6469, 5547, 609, 1100, 598, 5477, 1935, 540, 10350, 676, 519, 11889, 1560, 547, 2061, 971, 9888, 18384, 269, 24812, 812, 7829, 579, 5404, 2231, 610, 19163, 610, 11744, 22394, 17267, 568, 1869, 513, 1455, 3135, 538, 6469, 4663, 23788, 267, 799, 2115, 547, 581, 18808, 609, 12517, 543, 7850, 8417, 2866, 568, 2838, 593, 606, 5571, 4493, 693, 519, 6371, 3597, 2157, 547, 2057, 1022, 3978, 24088, 540, 519, 5607, 19067, 12558, 538, 519, 3486, 26750, 563, 4002, 17265, 519, 670, 15736, 3127, 30095, 2792, 607, 593, 476, 866, 269, 1015, 269, 1708, 271, 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 ]
[ 1344, 269, 2755, 7620, 2919, 585, 946, 538, 2371, 543, 14471, 267, 32073, 16629, 280, 814, 2094, 1044, 4294, 547, 2831, 267, 3056, 547, 11786, 3156, 602, 15549, 6297, 7156, 269, 1280, 3236, 267, 3173, 723, 6707, 12995, 6477, 6090, 547, 4894, 8290, 602, 666, 3468, 3425, 945, 8532, 20230, 2472, 630, 298, 574, 1696, 620, 1421, 476, 1001, 276, 1040, 6684, 267, 5444, 11049, 814, 1044, 8268, 607, 513, 1797, 540, 5355, 13184, 1072, 543, 7607, 676, 19249, 7592, 971, 607, 2208, 2557, 267, 12680, 267, 543, 4187, 547, 3676, 780, 4913, 267, 5444, 11049, 12651, 5683, 4145, 3823, 922, 1764, 593, 3662, 8171, 269, 1280, 1383, 267, 3728, 21212, 17944, 26870, 998, 16496, 9960, 7985, 4049, 2168, 22775, 885, 1813, 547, 741, 4028, 1646, 267, 10223, 519, 991, 585, 13657, 950, 22212, 3662, 25450, 269, 3958, 267, 930, 8044, 602, 5444, 11049, 949, 1291, 547, 519, 5137, 540, 834, 9188, 793, 518, 257, 10130, 267, 31328, 5739, 11475, 543, 2417, 12796, 4328, 2831, 780, 4089, 476, 274, 281, 20480, 585, 10960, 7126, 692, 4263, 519, 2295, 540, 5717, 4478, 5444, 11049, 543, 3662, 10304, 6013, 519, 3390, 540, 3662, 2924, 269, 31379, 25077, 602, 5444, 11049, 25040, 2249, 1143, 9789, 2856, 602, 1978, 2249, 616, 20244, 811, 3407, 982, 1866, 1765, 2421, 8156, 2831, 5097, 607, 2200, 585, 1480, 4324, 269, 1358, 2226, 602, 782, 2366, 1304, 7919, 4865, 17271, 1871, 543, 1058, 581, 5701, 9935, 267, 7488, 540, 741, 10626, 547, 3425, 780, 4002, 519, 824, 1688, 267, 28288, 8044, 602, 3743, 3498, 540, 5444, 11049, 1223, 2087, 3662, 2729, 676, 4227, 7092, 2404, 609, 10108, 267, 9124, 267, 543, 27571, 12468, 335, 753, 269, 5015, 267, 789, 2303, 602, 5444, 11049, 3091, 3255, 547, 8190, 13155, 2249, 543, 2149, 8134, 267, 7551, 5009, 2949, 9265, 780, 4089, 476, 275, 281, 7351, 12367, 543, 7464, 21509, 6201, 692, 3080, 8037, 7678, 3322, 7630, 532, 22328, 10074, 883, 13184, 547, 2061, 3676, 18993, 24777, 547, 3425, 630, 3725, 26407, 267, 476, 1708, 272, 1040, 4014, 713, 2259, 1281, 711, 4125, 1463, 5444, 11049, 267, 621, 9727, 875, 6639, 8441, 666, 3310, 1312, 6683, 543, 1857, 1072, 269, 6271, 1383, 2882, 2978, 3766, 3497, 5779, 3812, 1210, 6565, 2281, 6508, 689, 2831, 267, 5732, 5356, 513, 4264, 4244, 547, 2757, 8105, 2409, 1247, 10893, 2800, 1102, 21719, 2390, 2831, 630, 8070, 267, 476, 1001, 273, 6393, 19602, 267, 2477, 899, 519, 2136, 8003, 723, 5293, 9086, 28498, 8856, 9960, 267, 7175, 3744, 547, 1118, 6098, 12381, 1510, 10962, 4914, 5027, 630, 20084, 6554, 267, 476, 1708, 273, 1040, 6270, 4507, 2992, 5571, 3646, 547, 3666, 3621, 3356, 609, 5683, 9270, 780, 4089, 476, 276, 281, 8892, 19648, 692, 2026, 5444, 11049, 5170, 547, 11457, 267, 865, 1932, 1590, 938, 7104, 1620, 540, 922, 6286, 585, 3662, 2924, 543, 10304, 269, 1635, 5807, 5188, 1851, 8639, 267, 1519, 3744, 267, 14519, 267, 14223, 2516, 267, 543, 519, 2489, 1857, 267, 649, 666, 2327, 602, 6932, 4066, 5447, 609, 6848, 2418, 543, 3895, 17519, 2126, 540, 782, 2713, 7919, 780, 26524, 585, 14506, 1384, 265, 1548, 798, 596, 3494, 616, 519, 3119, 2591, 15054, 676, 5444, 11049, 693, 519, 10167, 540, 3662, 2924, 543, 10304, 888, 265, 1215, 1522, 2486, 10880, 606, 3617, 3666, 1063, 14027, 2257, 543, 18245, 1875, 25993, 1272, 888, 265, 2052, 5444, 11049, 3565, 9797, 547, 3662, 10304, 267, 610, 1131, 17712, 8724, 689, 6304, 581, 30074, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 265, 16158, 24490, 779, 4063, 281, 594, 3323, 609, 15535, 1234, 3150, 779, 7797, 267, 543, 21503, 856, 519, 2798, 538, 1010, 3381, 563, 763, 1543, 593, 713, 2985, 8039, 476, 273, 9583, 5094, 3584, 269, 10648, 302, 1107, 18726, 3798, 1746, 540, 5253, 1299, 22328, 23218, 3147, 1149, 538, 938, 1426, 543, 1216, 563, 13563, 26478, 1677, 10670, 769, 915, 532, 700, 12083, 2060, 22328, 1744, 1824, 901, 13600, 269, 11555, 2464, 292, 29187, 18306, 454, 2467, 616, 1100, 4031, 8506, 5483, 9844, 585, 6669, 1426, 563, 268, 17722, 24261, 281, 5709, 6210, 454, 268, 1977, 26478, 1677, 10670, 769, 915, 532, 700, 12083, 901, 13600, 454, 268, 15111, 21453, 904, 11646, 24737, 1243, 14132, 12418, 16023, 454, 268, 3220, 10878, 23449, 16423, 1299, 4521, 9807, 7338, 11412, 345, 454, 268, 24021, 3466, 540, 17580, 6669, 3797, 476, 1708, 273, 454, 268, 5177, 30059, 6601, 5338, 2920, 476, 1708, 274, 454, 268, 30059, 6601, 5338, 9291, 269, 23875, 547, 1294, 1934, 454, 268, 589, 11739, 697, 12161, 281, 30059, 6601, 5338, 9291, 454, 268, 968, 16675, 3751, 892, 717, 1161, 9576, 2667, 550, 547, 30059, 6601, 5338, 9291, 454, 268, 6997, 8566, 3497, 29133, 1772, 17214, 540, 9435, 19204, 454, 268, 14730, 7615, 10552, 5811, 2201, 23108, 1356, 344, 29133, 15733, 454, 268, 18227, 938, 16685, 593, 5682, 2775, 645, 3930, 31190, 267, 513, 9291, 1299, 9253, 25475, 27176, 7690, 31313, 454, 268, 2107, 3832, 1598, 566, 540, 513, 17455, 2438, 5482, 710, 454, 268, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 18904, 13543, 1315, 10960, 7126, 1315, 12660, 542, 10960, 28054, 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, 6637, 7170, 281, 7395, 673, 30527, 5288, 5080, 9418, 1143, 281, 589, 17714, 3414, 7756, 700, 5151, 540, 18712, 692, 5331, 952, 707, 4116, 5828, 883, 513, 9649, 17079, 899, 538, 519, 1650, 834, 763, 5450, 18982, 2670, 257, 676, 30686, 918, 2378, 6390, 256, 2107, 1018, 952, 707, 4884, 729, 17134, 5896, 543, 4904, 609, 9059, 267, 1175, 899, 5839, 32121, 538, 28792, 25661, 807, 3057, 4302, 345, 781, 834, 3080, 25569, 13012, 540, 3752, 3363, 22172, 1452, 616, 1806, 540, 1079, 1114, 5339, 6163, 1572, 5080, 9418, 1143, 543, 7395, 673, 30527, 269, 2913, 781, 2263, 891, 2189, 2081, 540, 10213, 2984, 2439, 1805, 800, 8346, 814, 2141, 1044, 851, 540, 1480, 2528, 269, 3683, 942, 267, 1004, 723, 2919, 1585, 2553, 547, 2769, 741, 4555, 543, 4664, 998, 8941, 269, 5565, 971, 2409, 616, 5080, 9418, 1143, 543, 7395, 673, 30527, 267, 799, 7153, 1472, 519, 1482, 942, 855, 538, 1114, 2694, 540, 519, 1158, 269, 1358, 2709, 4241, 5380, 593, 1272, 543, 922, 10848, 780, 20776, 9418, 1143, 3459, 538, 2342, 1310, 2622, 2782, 594, 607, 5159, 543, 5830, 8179, 547, 2736, 2476, 689, 2757, 8155, 269, 901, 2511, 10905, 8723, 3871, 609, 5326, 3697, 2609, 267, 2870, 29737, 543, 2192, 16479, 7653, 269, 1280, 1383, 267, 4952, 2348, 12129, 609, 6158, 2831, 910, 3085, 1405, 621, 3280, 9490, 2943, 1187, 286, 2334, 781, 519, 9759, 540, 5080, 9418, 1143, 2439, 4002, 519, 824, 1688, 267, 7395, 673, 30527, 12090, 538, 5824, 3013, 269, 9521, 5080, 9418, 1143, 267, 621, 24025, 28531, 2621, 16900, 1369, 10853, 5468, 269, 1924, 267, 3079, 540, 8840, 519, 3652, 540, 7954, 267, 621, 23900, 12857, 9059, 607, 952, 621, 941, 3339, 267, 6028, 3988, 11842, 2436, 789, 16545, 621, 269, 16514, 3054, 24971, 909, 835, 1554, 547, 3605, 707, 2777, 13735, 1657, 2666, 282, 602, 781, 7395, 673, 30527, 693, 960, 2439, 4131, 781, 1413, 6251, 693, 938, 6074, 2835, 1384, 272, 269, 834, 763, 5450, 18982, 2670, 257, 676, 30686, 918, 2378, 6390, 281, 15535, 528, 28932, 320, 530, 1389, 909, 835, 6640, 9927, 883, 513, 1395, 560, 9317, 2357, 2381, 269, 3571, 1920, 9620, 547, 3398, 1010, 1007, 1106, 267, 3056, 547, 10072, 543, 21817, 269, 6736, 922, 552, 24809, 23350, 267, 519, 3209, 7710, 8471, 4798, 899, 10343, 267, 2648, 267, 543, 3961, 563, 273, 269, 834, 3080, 25569, 13012, 540, 3752, 3363, 257, 676, 28792, 25661, 807, 3057, 4302, 345, 281, 5590, 538, 519, 14070, 18207, 1014, 8498, 540, 5839, 32121, 267, 649, 1246, 5722, 5481, 540, 519, 11370, 754, 17144, 1920, 2713, 8015, 14393, 31397, 20825, 7258, 4948, 13467, 269, 15638, 899, 15293, 23079, 1831, 28125, 267, 15386, 875, 12347, 7395, 673, 30527, 26779, 9058, 4755, 902, 780, 4407, 1312, 2671, 513, 23324, 1899, 1063, 4641, 543, 9345, 267, 789, 8428, 21739, 269, 5080, 9418, 1143, 7519, 338, 2834, 640, 609, 6397, 21494, 885, 267, 6466, 7395, 673, 30527, 15387, 11007, 1256, 950, 10962, 16750, 9259, 780, 1103, 1362, 267, 1577, 781, 1865, 891, 2984, 543, 2697, 8320, 540, 5080, 9418, 1143, 543, 7395, 673, 30527, 269, 5457, 267, 3332, 3884, 1405, 8806, 827, 1620, 1913, 282, 621, 781, 849, 827, 7680, 3309, 10600, 543, 9750, 938, 20030, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1382, 2488, 519, 6476, 1063, 519, 9589, 17779, 540, 3162, 3013, 543, 519, 30642, 1143, 540, 2342, 267, 609, 513, 1880, 4704, 547, 2290, 25569, 13012, 540, 3752, 3363, 630, 290, 1329, 1323, 657, 632, 3752, 539, 611, 264, 676, 28792, 25661, 807, 3057, 4302, 345, 543, 634, 5450, 18982, 2670, 630, 291, 773, 7638, 342, 663, 331, 2426, 264, 676, 30686, 918, 2378, 6390, 563, 28274, 547, 519, 13354, 543, 3140, 7811, 4485, 267, 519, 1957, 8761, 1312, 10486, 543, 3604, 540, 1079, 5339, 5322, 540, 519, 14206, 2540, 269, 634, 4607, 4681, 6542, 602, 519, 9589, 17779, 540, 28792, 25661, 807, 3057, 4302, 345, 568, 1759, 593, 519, 9322, 540, 4641, 543, 14810, 267, 1247, 519, 30642, 1143, 540, 918, 2378, 6390, 9388, 609, 519, 10103, 1063, 9909, 543, 7787, 640, 267, 610, 267, 7311, 547, 22506, 1014, 25164, 4519, 267, 1063, 519, 6857, 543, 519, 17499, 269, 769, 713, 2543, 267, 930, 2164, 540, 519, 1382, 2992, 519, 3105, 9382, 540, 918, 2378, 6390, 543, 3057, 4302, 345, 267, 1247, 824, 4681, 1683, 930, 1007, 12496, 540, 918, 2378, 6390, 779, 30642, 1143, 543, 3057, 4302, 345, 779, 9589, 17779, 563, 13750, 618, 540, 519, 1966, 454, 7212, 519, 9589, 678, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 1977, 1315, 4937, 1315, 1977, 16520, 28073, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 1565, 827, 1686, 25015, 269, 5620, 596, 2479, 4862, 540, 519, 8734, 326, 528, 617, 6243, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 568, 621, 2496, 8334, 281, 4270, 267, 621, 729, 513, 10120, 14081, 4092, 538, 1459, 6377, 6576, 269, 898, 11478, 585, 936, 2947, 5553, 543, 1185, 922, 1378, 2229, 1062, 609, 11221, 8387, 256, 27355, 1405, 602, 3579, 2496, 7692, 281, 26272, 267, 602, 1281, 3280, 4277, 269, 1924, 789, 4769, 1405, 723, 513, 4622, 610, 15596, 899, 824, 2477, 1394, 1287, 2496, 8334, 281, 2334, 781, 1318, 256, 1358, 5156, 538, 4758, 741, 4961, 513, 2161, 538, 945, 18170, 873, 269, 3807, 899, 649, 8917, 585, 938, 1362, 7022, 1169, 1032, 267, 789, 1131, 1528, 741, 3401, 1932, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1809, 1018, 952, 2576, 1500, 513, 3983, 3375, 286, 1215, 1705, 789, 4368, 602, 2496, 8334, 281, 4279, 2243, 256, 1403, 513, 6205, 7012, 1405, 3257, 1134, 267, 1004, 1223, 3442, 2576, 3116, 1282, 519, 1985, 9550, 269, 901, 1259, 267, 789, 2141, 1185, 513, 4960, 547, 1118, 2242, 543, 2087, 741, 2146, 780, 7692, 281, 2334, 4992, 4023, 269, 9877, 540, 899, 950, 649, 6430, 799, 3014, 547, 1404, 1927, 282, 952, 835, 3085, 1405, 960, 856, 267, 649, 666, 4584, 1776, 835, 2663, 780, 8334, 281, 8786, 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 ]
[ 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, 7706, 540, 3662, 5026, 267, 887, 1372, 657, 19582, 513, 2189, 2230, 602, 10905, 7619, 6291, 267, 6561, 267, 543, 19076, 13824, 269, 7324, 1585, 887, 1372, 334, 2621, 267, 2319, 4050, 940, 814, 7153, 607, 513, 4241, 1383, 540, 16542, 267, 4640, 267, 543, 7504, 26206, 269, 901, 3296, 786, 5490, 2620, 883, 519, 14960, 540, 2319, 4050, 940, 267, 5373, 4296, 1063, 922, 4295, 2609, 543, 6626, 4798, 1369, 4207, 2486, 780, 5938, 600, 4050, 940, 568, 513, 31764, 2680, 1141, 513, 2319, 540, 1614, 26348, 960, 1927, 547, 5094, 1808, 12418, 689, 513, 3677, 23636, 543, 3391, 873, 883, 513, 11280, 4050, 269, 634, 6662, 568, 547, 2347, 713, 4305, 607, 3533, 543, 7561, 607, 2009, 269, 1677, 1174, 519, 10848, 540, 2319, 4050, 940, 267, 621, 781, 1898, 1101, 547, 2263, 922, 3140, 5072, 543, 2686, 4644, 269, 8528, 30399, 267, 2319, 4050, 940, 666, 581, 14360, 1394, 547, 10443, 4221, 2853, 538, 799, 10800, 2692, 903, 1185, 547, 5094, 1880, 2831, 585, 32107, 610, 2564, 2126, 269, 3683, 942, 267, 891, 4052, 1983, 7960, 883, 8013, 2621, 267, 5555, 4742, 25411, 1255, 693, 2413, 887, 1372, 657, 269, 1306, 971, 267, 2319, 4050, 940, 5713, 607, 1312, 513, 11812, 540, 5375, 2528, 543, 606, 14266, 540, 3810, 7463, 1983, 2838, 538, 13184, 2359, 780, 763, 4909, 3334, 540, 2319, 4050, 940, 2874, 540, 7504, 26206, 267, 2792, 267, 4640, 267, 543, 12557, 269, 3962, 4759, 4249, 513, 3982, 1909, 1759, 593, 741, 6791, 543, 17568, 1472, 519, 26750, 269, 1280, 3236, 267, 1448, 26348, 3335, 1852, 519, 3432, 543, 4287, 540, 519, 23636, 1247, 18711, 26348, 1445, 593, 17527, 610, 23646, 1524, 2269, 1375, 6840, 269, 21988, 6887, 1419, 8858, 15774, 5698, 267, 24188, 540, 1164, 12656, 14127, 1480, 9845, 945, 7048, 593, 5730, 11558, 543, 8237, 29364, 3375, 6194, 780, 1103, 7421, 2319, 4050, 940, 998, 513, 25349, 7828, 267, 1896, 19320, 10836, 1063, 713, 1226, 652, 6929, 9015, 543, 824, 3029, 540, 6896, 5026, 269, 2290, 8037, 4276, 25701, 547, 4008, 6384, 269, 2755, 12926, 9763, 607, 513, 24940, 6389, 267, 2021, 723, 5051, 1500, 1713, 7418, 547, 2319, 4050, 940, 267, 4101, 11475, 2404, 609, 4008, 5107, 538, 6917, 2950, 269, 5047, 267, 29076, 7589, 2417, 19156, 875, 2319, 4050, 940, 11942, 1514, 22122, 2066, 2085, 2516, 267, 8272, 337, 1681, 2147, 3270, 4767, 538, 6107, 682, 8046, 610, 9972, 3756, 5001, 780, 19741, 6848, 6286, 267, 2319, 4050, 940, 849, 3091, 3407, 4030, 3823, 3662, 2623, 543, 17133, 269, 595, 4490, 616, 1634, 585, 741, 1200, 3429, 26756, 267, 1818, 873, 4998, 5396, 585, 4974, 7104, 2623, 538, 1875, 25993, 2249, 269, 1635, 11287, 875, 1367, 2831, 4431, 547, 8795, 15128, 1282, 19194, 267, 3173, 666, 29742, 1271, 1344, 827, 5718, 25327, 267, 1966, 9010, 5759, 267, 543, 2566, 6114, 1851, 12418, 5095, 1107, 1702, 602, 1223, 5732, 1217, 811, 5683, 543, 4264, 8105, 2853, 780, 11101, 267, 6639, 7760, 3136, 547, 3337, 2319, 4050, 940, 267, 14436, 540, 6626, 3466, 13321, 2757, 5026, 8916, 269, 3245, 15870, 9477, 1949, 11251, 538, 521, 5417, 956, 547, 8216, 556, 2452, 4066, 8246, 676, 16488, 267, 891, 10124, 3986, 2773, 2079, 267, 3106, 3800, 267, 543, 4715, 1807, 6278, 269, 9182, 267, 789, 3565, 547, 519, 5571, 3318, 1436, 540, 887, 1372, 334, 2621, 267, 6173, 908, 873, 547, 13416, 4567, 7258, 3964, 18942, 18697, 780, 4913, 267, 5103, 922, 3395, 8560, 267, 2319, 4050, 940, 8188, 9880, 7282, 3662, 10304, 4145, 269, 31379, 8044, 602, 7920, 6735, 949, 2014, 3768, 826, 2566, 610, 2800, 547, 10283, 13184, 269, 11330, 7859, 4831, 1173, 826, 602, 3743, 7829, 2553, 6964, 676, 9952, 7504, 5443, 7413, 1761, 4220, 267, 10771, 3079, 519, 3872, 1871, 6508, 689, 5009, 1732, 1620, 543, 7071, 540, 2324, 2831, 269, 18601, 971, 9840, 19329, 4797, 5188, 543, 1382, 4478, 1655, 2853, 538, 3662, 1416, 543, 8171, 1369, 519, 2796, 540, 8013, 5026, 780, 1103, 3932, 267, 2319, 4050, 940, 20206, 12885, 513, 15491, 1158, 1141, 1686, 267, 2528, 267, 5578, 267, 543, 5647, 27721, 269, 3414, 3695, 922, 13210, 267, 16082, 267, 543, 27900, 267, 649, 2744, 513, 4514, 8223, 540, 1018, 2306, 713, 13395, 7328, 865, 8903, 1247, 8195, 27283, 2565, 2152, 4143, 3564, 519, 26750, 269, 6787, 2938, 607, 513, 2890, 6523, 332, 540, 1480, 5872, 267, 513, 6885, 883, 3662, 6530, 267, 610, 513, 3760, 585, 14027, 2029, 267, 2319, 4050, 940, 3788, 513, 9159, 1641, 17709, 540, 9488, 6514, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2414, 1294, 782, 540, 938, 6337, 593, 713, 1641, 267, 610, 547, 1376, 513, 1007, 3406, 267, 1826, 707, 17161, 883, 519, 1715, 9612, 454, 30720, 543, 4945, 3619, 5192, 898, 563, 293, 271, 2568, 310, 6349, 12282, 22333, 910, 9267, 28380, 454, 2414, 1931, 713, 8666, 3346, 18582, 5459, 14351, 22878, 563, 15812, 610, 10748, 571, 18582, 5459, 454, 294, 756, 5459, 14351, 22878, 12665, 538, 6006, 6337, 540, 3345, 1977, 1004, 267, 4872, 267, 6683, 267, 6189, 267, 8978, 4609, 267, 2872, 543, 2029, 267, 2067, 2200, 267, 3084, 11614, 267, 5026, 543, 18883, 267, 6283, 543, 1648, 267, 7098, 10118, 267, 543, 2951, 18353, 563, 24552, 1031, 547, 4766, 713, 4605, 281, 6006, 8666, 6337, 10344, 2962, 3440, 25483, 11282, 25640, 11558, 5480, 8516, 5734, 11255, 7914, 5256, 812, 2367, 5163, 1847, 3350, 3001, 2121, 1404, 6345, 5716, 18883, 2196, 7328, 5026, 2319, 16542, 9825, 2019, 28380, 9267, 28380, 4807, 6006, 8666, 6337, 10344, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9501, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 10960, 11846, 1315, 681, 1712, 657, 1315, 12243, 6755, 940, 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, 6092, 5149, 281, 22383, 1299, 18753, 26358, 281, 10289, 14740, 267, 9177, 267, 543, 18366, 998, 10439, 27884, 692, 4089, 476, 272, 281, 634, 28249, 540, 6014, 14740, 543, 22383, 692, 763, 1158, 540, 14676, 814, 1279, 3177, 15417, 2666, 585, 3695, 2055, 540, 3961, 543, 6041, 269, 901, 3296, 786, 5490, 883, 519, 2078, 1063, 6014, 6561, 543, 519, 5137, 540, 930, 540, 519, 1034, 11599, 3197, 543, 2984, 538, 13371, 1433, 1686, 269, 1284, 786, 4983, 875, 6014, 15888, 899, 12254, 10557, 630, 9799, 26304, 17389, 828, 264, 16668, 2390, 741, 1378, 2833, 543, 2418, 547, 3337, 6386, 602, 3136, 547, 13469, 609, 9458, 2221, 269, 3958, 267, 649, 786, 2263, 519, 1909, 540, 17194, 1369, 1808, 1650, 6050, 543, 1915, 1646, 267, 971, 607, 519, 26841, 540, 6014, 27568, 899, 13804, 16587, 538, 2473, 5336, 523, 543, 519, 5610, 540, 28763, 4472, 2065, 4798, 538, 2835, 899, 8871, 9220, 320, 780, 4089, 476, 273, 281, 10793, 17340, 2421, 781, 8177, 593, 22383, 543, 7377, 9177, 692, 31568, 17340, 2421, 267, 4171, 2407, 2012, 729, 15243, 918, 4669, 345, 6199, 267, 729, 513, 11358, 4137, 538, 519, 4720, 540, 14676, 543, 8642, 9089, 269, 18004, 547, 22341, 6014, 11082, 538, 1715, 3840, 4975, 267, 17340, 2421, 1071, 29931, 730, 1082, 11537, 3197, 1519, 18279, 3013, 267, 20646, 2880, 9050, 267, 2473, 5336, 523, 267, 543, 670, 592, 330, 269, 3571, 960, 6905, 3564, 2757, 15705, 8941, 282, 646, 849, 8329, 547, 3140, 3134, 923, 899, 634, 661, 1181, 1023, 267, 799, 11368, 2609, 540, 3504, 13299, 543, 4984, 269, 769, 713, 3296, 267, 649, 786, 5659, 17340, 2421, 781, 2189, 3308, 2511, 543, 922, 3310, 593, 4207, 5159, 1247, 7234, 519, 4644, 540, 1010, 7418, 547, 1402, 2528, 693, 1804, 780, 22102, 31035, 1384, 2026, 5018, 4505, 267, 12254, 10557, 7620, 2808, 20803, 31733, 781, 1101, 1920, 267, 519, 20646, 2880, 9050, 267, 1310, 1776, 4583, 2185, 16341, 910, 519, 6014, 12563, 1895, 1634, 607, 519, 21890, 345, 11302, 269, 2755, 6038, 14460, 267, 713, 2856, 8711, 519, 2620, 4296, 1063, 6014, 3961, 543, 519, 3860, 1184, 3297, 891, 9565, 1568, 780, 4089, 476, 274, 281, 22383, 543, 519, 18303, 6261, 531, 652, 15687, 18366, 692, 4467, 923, 723, 5051, 1831, 513, 5420, 585, 21679, 609, 1950, 8739, 27791, 2152, 267, 1519, 519, 5571, 18303, 6261, 531, 652, 15687, 4655, 269, 3414, 2013, 2090, 899, 15608, 590, 8829, 781, 21157, 543, 7665, 574, 27482, 772, 686, 1695, 781, 6744, 4812, 267, 649, 786, 8495, 875, 8642, 3209, 1235, 946, 3308, 9423, 2553, 547, 6655, 13857, 5380, 593, 713, 3810, 29653, 3148, 269, 1635, 6313, 1312, 24752, 543, 18303, 16752, 4843, 538, 1585, 12326, 267, 1053, 786, 2744, 5813, 883, 519, 1761, 1379, 540, 14676, 607, 2645, 585, 6568, 2679, 543, 5807, 5188, 1472, 2352, 5396, 780, 6962, 1384, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 519, 3638, 16799, 1063, 2123, 3961, 267, 2686, 2796, 267, 543, 3308, 9423, 1369, 519, 7706, 540, 14676, 543, 8642, 9089, 269, 3245, 10002, 22326, 519, 1764, 540, 6014, 6561, 593, 5929, 3197, 543, 6386, 547, 2502, 609, 10296, 4207, 7526, 267, 938, 1353, 19156, 519, 4390, 540, 18615, 1148, 547, 4161, 26608, 18727, 18765, 267, 28596, 2565, 3206, 267, 543, 8300, 6209, 7391, 827, 519, 1480, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2171, 2461, 28165, 547, 581, 2111, 547, 15476, 12254, 13177, 779, 17340, 2421, 12092, 1934, 538, 519, 1533, 646, 2366, 621, 547, 721, 267, 609, 1152, 519, 13581, 652, 3787, 540, 11049, 269, 1107, 11969, 14929, 701, 454, 15578, 4888, 8379, 28714, 8121, 2316, 4306, 454, 2252, 10793, 779, 27277, 543, 9909, 941, 695, 13593, 676, 519, 31774, 540, 519, 7083, 540, 8752, 2504, 267, 1287, 513, 2898, 5108, 779, 5132, 543, 4126, 5747, 593, 513, 26927, 776, 5463, 269, 1554, 538, 476, 2735, 271, 269, 6424, 4460, 28331, 2006, 18272, 3990, 3627, 31143, 517, 538, 4395, 540, 519, 21241, 544, 6416, 1141, 31143, 517, 5030, 609, 1010, 7385, 962, 32634, 2201, 334, 269, 31143, 517, 1185, 1044, 519, 6117, 3196, 3297, 519, 1236, 858, 548, 6512, 602, 2968, 519, 19468, 956, 267, 543, 513, 3368, 540, 519, 6574, 5152, 8586, 2319, 538, 1686, 269, 1261, 729, 849, 1634, 607, 519, 6612, 543, 18854, 3297, 519, 2686, 20349, 540, 519, 476, 2568, 268, 3583, 779, 267, 543, 1010, 2669, 8694, 519, 11146, 5108, 269, 634, 1079, 6887, 1034, 3743, 585, 519, 2528, 16411, 540, 519, 476, 2568, 779, 543, 476, 3583, 779, 941, 1631, 9048, 22106, 2406, 8237, 268, 2760, 547, 581, 2322, 1927, 269, 2290, 676, 3375, 267, 835, 676, 12638, 1034, 28067, 563, 288, 1507, 11735, 912, 2108, 12441, 596, 917, 12254, 10557, 7620, 4941, 547, 1289, 31733, 779, 3312, 543, 1869, 575, 5273, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 6014, 1315, 18303, 6261, 531, 652, 15687, 18366, 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, 769, 519, 13287, 540, 6940, 1369, 4853, 1374, 267, 621, 568, 2629, 547, 2015, 519, 2825, 1764, 540, 8022, 267, 14910, 267, 543, 2011, 14555, 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 ]
[ 519, 24187, 543, 8594, 540, 971, 1390, 454, 4219, 267, 29142, 574, 752, 933, 30877, 602, 519, 6107, 666, 4163, 593, 1256, 952, 519, 22242, 1810, 1406, 454, 339, 820, 909, 519, 4161, 547, 1711, 519, 968, 2908, 11876, 641, 892, 912, 13195, 1945, 602, 729, 2016, 547, 519, 22242, 998, 1995, 543, 998, 454, 974, 778, 902, 267, 513, 10715, 540, 10752, 269, 3973, 789, 6591, 602, 7326, 269, 1809, 649, 666, 1406, 454, 3530, 867, 602, 17195, 1022, 811, 269, 1924, 1631, 621, 779, 1175, 1044, 19942, 547, 873, 267, 689, 519, 454, 24478, 528, 547, 519, 1762, 1004, 607, 513, 10516, 563, 601, 10249, 723, 19918, 568, 942, 543, 1995, 267, 968, 320, 10715, 540, 10752, 1848, 1809, 454, 9392, 723, 4957, 269, 9453, 602, 968, 12999, 1722, 892, 540, 942, 267, 1004, 543, 2528, 1590, 454, 10193, 1689, 269, 29142, 574, 752, 933, 543, 1200, 1920, 1491, 909, 519, 4161, 563, 2252, 649, 3398, 602, 7111, 4892, 6414, 538, 2221, 779, 1158, 267, 17005, 5553, 540, 15746, 267, 10168, 267, 13137, 267, 2068, 267, 543, 824, 23434, 267, 1287, 649, 1590, 849, 5431, 602, 741, 4529, 616, 1483, 267, 2500, 267, 18512, 267, 6422, 267, 11327, 267, 543, 1271, 269, 634, 2013, 540, 519, 744, 329, 756, 933, 540, 519, 8109, 16592, 18686, 540, 12309, 6542, 519, 21755, 540, 741, 2528, 543, 519, 6422, 543, 5714, 2470, 540, 2528, 538, 2489, 563, 1656, 8197, 594, 29600, 938, 5967, 7886, 1510, 4304, 971, 1913, 267, 610, 6998, 585, 4376, 8763, 269, 594, 6836, 547, 2285, 1004, 513, 2489, 2631, 540, 1250, 3853, 538, 713, 1788, 630, 1729, 1459, 519, 4641, 540, 1018, 729, 8345, 538, 519, 7111, 1977, 1158, 2221, 1070, 543, 1175, 1577, 873, 2911, 269, 594, 6854, 1250, 8292, 547, 513, 5934, 269, 2368, 29801, 3459, 676, 23294, 1944, 585, 711, 6616, 2614, 269, 22682, 789, 1185, 10054, 827, 1018, 594, 4397, 269, 1809, 538, 519, 1439, 267, 789, 7691, 594, 1175, 4941, 873, 547, 2911, 827, 741, 2833, 267, 543, 789, 782, 9112, 513, 1650, 547, 2491, 741, 2729, 547, 803, 543, 1250, 5304, 1360, 5578, 2685, 543, 4625, 269, 4107, 11042, 16768, 513, 5934, 540, 1079, 547, 1614, 3108, 267, 543, 538, 1614, 856, 540, 5216, 2665, 267, 519, 29801, 12038, 609, 803, 585, 811, 982, 476, 275, 3108, 593, 11746, 563, 8616, 4277, 569, 1034, 540, 519, 29801, 609, 7247, 594, 5249, 1705, 538, 1249, 1865, 519, 2474, 2528, 543, 2245, 269, 4634, 1498, 789, 1265, 2090, 540, 741, 2528, 676, 16080, 11107, 18086, 267, 5310, 17116, 1317, 789, 3494, 19174, 949, 9794, 873, 547, 581, 538, 2246, 5782, 545, 267, 789, 1869, 2015, 1346, 2152, 2933, 267, 543, 2097, 909, 609, 968, 753, 9955, 892, 607, 4230, 1393, 543, 1950, 630, 2958, 8973, 519, 5714, 2470, 540, 2528, 264, 607, 1346, 540, 19174, 563, 634, 1533, 6280, 538, 590, 5435, 6008, 269, 21322, 849, 814, 513, 7111, 1977, 9906, 4741, 543, 513, 7111, 1977, 2090, 1982, 267, 1312, 2196, 676, 7111, 4892, 267, 543, 1312, 540, 799, 11851, 1852, 936, 1022, 3292, 610, 5049, 6026, 609, 7111, 1977, 6249, 610, 1543, 563, 32695, 10580, 616, 17319, 10580, 540, 1004, 630, 30943, 543, 1875, 9539, 894, 267, 2367, 543, 2021, 1107, 1498, 14108, 908, 2021, 616, 4280, 711, 547, 6443, 519, 5858, 264, 945, 3717, 827, 2933, 1107, 741, 2042, 267, 3853, 267, 18517, 267, 3092, 269, 15380, 519, 6205, 3081, 513, 11755, 693, 519, 4098, 540, 519, 5858, 267, 3947, 5618, 8846, 630, 1729, 2161, 8726, 596, 1616, 547, 2161, 31635, 1070, 1287, 10596, 513, 13692, 1472, 29628, 269, 1879, 596, 3180, 519, 13692, 596, 1796, 909, 543, 3717, 269, 2368, 1004, 2911, 585, 1152, 513, 1906, 7643, 267, 1866, 585, 607, 1454, 607, 476, 1015, 3764, 610, 1256, 513, 3368, 5662, 630, 2288, 602, 568, 4686, 1040, 2311, 7345, 24759, 7991, 5441, 519, 2898, 2852, 2146, 630, 974, 18291, 267, 1053, 267, 5234, 267, 543, 16984, 264, 941, 14376, 547, 513, 6158, 5858, 607, 851, 540, 10066, 693, 519, 4098, 540, 1142, 19496, 267, 543, 1419, 693, 519, 1439, 540, 1142, 19496, 607, 1134, 563, 3911, 644, 3101, 4016, 547, 519, 1455, 32375, 512, 532, 539, 2259, 540, 968, 31290, 892, 13951, 610, 1919, 609, 519, 8673, 540, 835, 540, 519, 1614, 10723, 2371, 1107, 10269, 267, 27041, 267, 610, 6653, 6371, 269, 634, 8673, 18274, 525, 543, 12196, 525, 269, 15380, 519, 5289, 6205, 540, 606, 2680, 786, 1769, 519, 10723, 2030, 630, 17141, 538, 513, 1507, 22753, 610, 2909, 573, 267, 610, 7654, 538, 513, 7387, 1070, 2161, 930, 19001, 547, 519, 2185, 8846, 267, 1287, 3802, 1472, 519, 5858, 8876, 519, 8781, 1315, 7296, 2030, 269, 1261, 949, 556, 2000, 697, 621, 1896, 2053, 952, 2556, 269, 634, 5289, 6205, 849, 11438, 513, 13692, 269, 1261, 3091, 519, 8673, 547, 1142, 4759, 540, 519, 5858, 269, 634, 18579, 786, 946, 1010, 1315, 1200, 3946, 547, 2721, 519, 8673, 4724, 1864, 610, 1200, 543, 6299, 621, 883, 1010, 1315, 1200, 1560, 269, 10705, 1004, 1131, 968, 31683, 892, 519, 3068, 609, 519, 8673, 267, 610, 519, 2295, 1858, 267, 610, 519, 3068, 267, 2295, 543, 7953, 563, 1280, 3236, 16823, 10529, 543, 8436, 689, 824, 2950, 609, 1702, 540, 513, 1808, 5578, 267, 971, 607, 16909, 7067, 610, 2757, 535, 1342, 1782, 267, 1131, 3006, 581, 4280, 547, 4001, 513, 2027, 1362, 693, 519, 25877, 267, 17174, 2852, 267, 610, 2528, 3786, 563, 289, 19272, 547, 29706, 7034, 454, 289, 19272, 9215, 10790, 2562, 623, 17803, 0, 529, 606, 7533, 851, 540, 519, 3003, 26229, 9251, 6437, 454, 520, 15284, 269, 12267, 267, 8964, 267, 9954, 2059, 609, 7391, 609, 454, 611, 6699, 543, 9905, 948, 1453, 2333, 741, 6863, 543, 1020, 454, 7394, 1893, 1983, 269, 15858, 3610, 616, 931, 2615, 1190, 3631, 454, 1721, 741, 1053, 543, 616, 6297, 547, 946, 2953, 12332, 2676, 13559, 3405, 543, 16105, 269, 3414, 2238, 609, 3610, 543, 8284, 1053, 2676, 18244, 2744, 6015, 543, 7115, 607, 789, 1451, 547, 2697, 454, 1492, 3615, 538, 938, 4928, 269, 4317, 2090, 267, 2257, 543, 11585, 454, 15276, 1453, 1020, 543, 4019, 7463, 1893, 269, 18500, 454, 523, 5341, 618, 5170, 609, 2326, 543, 2238, 602, 948, 519, 454, 18876, 1451, 519, 4408, 540, 3388, 689, 2831, 543, 7574, 7405, 454, 1729, 5388, 543, 16996, 563, 14399, 1101, 10536, 2854, 1893, 1983, 676, 1565, 519, 454, 874, 517, 2045, 3280, 540, 1142, 4484, 269, 4635, 18136, 267, 3946, 6823, 2326, 454, 1492, 1453, 3356, 676, 1362, 4328, 3615, 1759, 593, 741, 4992, 454, 663, 1287, 2253, 8380, 891, 4992, 1927, 547, 1711, 1913, 269, 4495, 454, 16269, 723, 4121, 547, 1711, 741, 1378, 1913, 267, 2542, 5205, 3533, 563, 763, 1453, 960, 609, 5051, 811, 4101, 2326, 563, 2026, 789, 3356, 609, 741, 2542, 267, 519, 1445, 7140, 547, 8223, 454, 663, 8239, 269, 2060, 519, 1646, 540, 1893, 267, 1453, 1020, 454, 320, 3152, 2702, 547, 10891, 741, 4555, 543, 2769, 741, 2189, 0, 20058, 267, 594, 1131, 4894, 519, 18574, 543, 519, 21263, 910, 519, 13855, 786, 9090, 1205, 519, 18574, 538, 922, 5023, 543, 4440, 15179, 930, 693, 930, 3942, 267, 543, 713, 666, 581, 1360, 5906, 269, 634, 21263, 814, 519, 1482, 1981, 267, 1175, 1447, 2693, 547, 2014, 2042, 563, 9172, 9955, 547, 707, 2055, 912, 268, 29838, 338, 616, 2549, 874, 756, 2103, 267, 711, 1234, 696, 3796, 269, 1358, 798, 711, 991, 513, 11158, 289, 15941, 267, 6862, 798, 789, 1205, 1022, 8810, 4324, 689, 621, 269, 594, 946, 1651, 663, 27853, 15620, 609, 891, 20883, 547, 6318, 519, 1554, 2837, 1657, 519, 834, 19668, 257, 2837, 3177, 676, 513, 3002, 1319, 936, 851, 540, 519, 5377, 540, 519, 17512, 10740, 630, 528, 693, 519, 2427, 267, 4470, 593, 875, 5394, 519, 14041, 1040, 594, 2285, 782, 1250, 20883, 476, 1321, 3108, 829, 1554, 267, 2356, 1210, 513, 22245, 269, 623, 659, 2006, 20883, 12404, 782, 519, 942, 1022, 875, 267, 602, 781, 875, 789, 2811, 29040, 269, 1358, 1152, 2097, 834, 531, 633, 257, 585, 1426, 563, 268, 16319, 899, 596, 616, 711, 5329, 519, 13855, 3636, 2614, 269, 634, 1259, 547, 1205, 519, 13855, 547, 3548, 1134, 568, 547, 1832, 621, 693, 513, 2635, 2837, 543, 952, 596, 1616, 621, 547, 3548, 689, 17408, 14162, 619, 267, 1810, 1405, 2709, 621, 1426, 1022, 824, 1259, 269, 1280, 1762, 31390, 2006, 20883, 594, 1131, 7452, 609, 513, 7513, 7110, 2899, 829, 3018, 269, 3047, 19095, 616, 513, 1390, 20013, 585, 891, 20883, 269, 0, 15288, 21815, 5058, 5990, 23817, 24209, 5508, 29135, 9169, 290, 4338, 292, 1299, 29135, 9169, 290, 4338, 292, 8863, 3198, 12283, 454, 257, 26183, 10498, 11083, 8668, 24199, 654, 17751, 2807, 4840, 5804, 519, 4484, 2366, 856, 609, 519, 5299, 540, 22615, 11535, 602, 729, 2366, 856, 547, 782, 3506, 607, 851, 540, 519, 11059, 4643, 585, 17323, 563, 16498, 17323, 814, 513, 1445, 593, 519, 2257, 540, 23817, 6865, 3036, 15771, 13256, 563, 1607, 1797, 519, 1353, 540, 519, 3337, 540, 519, 3618, 2483, 763, 1007, 23794, 274, 2817, 15099, 2882, 519, 1739, 6810, 799, 616, 4143, 547, 519, 3450, 540, 8447, 17323, 563, 27645, 3068, 519, 1966, 540, 7446, 799, 3344, 540, 8447, 17323, 547, 1331, 538, 741, 14565, 540, 960, 585, 23794, 274, 10453, 563, 2304, 679, 11431, 5311, 547, 2015, 281, 930, 1883, 2055, 269, 9122, 593, 519, 11300, 4804, 18888, 2919, 676, 18281, 667, 7875, 514, 543, 3223, 603, 717, 3234, 342, 1228, 563, 12812, 547, 23822, 713, 3239, 19601, 5575, 3364, 596, 991, 547, 798, 1934, 568, 2697, 519, 2934, 454, 13328, 11837, 540, 7823, 8916, 454, 10674, 2517, 4178, 19544, 1731, 337, 3820, 270, 910, 4436, 1257, 267, 855, 5140, 2592, 454, 2171, 786, 581, 3168, 693, 16047, 344, 10361, 543, 519, 5617, 548, 570, 719, 561, 30224, 910, 609, 7064, 547, 7200, 1047, 32762, 454, 763, 14117, 532, 540, 519, 13474, 2515, 454, 1432, 616, 8916, 15017, 1432, 2242, 1491, 1747, 538, 8916, 15017, 763, 1909, 540, 6705, 538, 519, 5251, 563, 257, 26903, 257, 910, 3143, 601, 10011, 872, 454, 257, 15761, 3153, 14924, 7870, 257, 910, 3812, 585, 519, 4139, 5729, 540, 15142, 910, 930, 1390, 4930, 454, 10454, 25304, 540, 15232, 257, 543, 519, 2622, 540, 15232, 3896, 1862, 630, 852, 20374, 267, 543, 519, 1433, 568, 856, 540, 1820, 994, 257, 20091, 938, 14924, 7870, 257, 910, 8176, 21984, 3429, 281, 519, 5767, 1433, 676, 18281, 3751, 2023, 13629, 563, 763, 3703, 23721, 281, 2062, 5320, 676, 9291, 21563, 5459, 454, 3849, 333, 4461, 1786, 342, 2044, 538, 22206, 13083, 723, 606, 5140, 10229, 5859, 799, 3096, 2592, 540, 519, 5032, 5532, 609, 2592, 540, 14420, 269, 1358, 849, 6133, 930, 2864, 8799, 25584, 563, 23813, 2207, 20978, 5990, 2910, 17129, 281, 5084, 2793, 5960, 454, 11764, 1067, 476, 1220, 278, 4667, 547, 723, 1044, 519, 4005, 585, 3695, 938, 5251, 543, 6561, 269, 5358, 6996, 723, 3769, 912, 4596, 17129, 2433, 10022, 476, 274, 454, 300, 5495, 301, 14011, 2562, 2433, 26186, 10910, 903, 13643, 454, 262, 289, 262, 21614, 4696, 19836, 3951, 288, 2562, 912, 15578, 645, 308, 6579, 291, 5058, 5508, 19836, 3951, 288, 2562, 912, 15578, 22444, 3918, 307, 700, 9281, 292, 5508, 5990, 631, 5588, 3036, 310, 17751, 281, 4279, 18917, 275, 3126, 563, 10000, 30098, 786, 2408, 4166, 2899, 519, 1837, 594, 4312, 1044, 1603, 568, 3370, 2483, 5308, 10934, 8131, 910, 2115, 13013, 4786, 10569, 454, 17637, 513, 3068, 1210, 13013, 4786, 6698, 281, 552, 3052, 269, 15272, 21118, 601, 585, 513, 9224, 267, 15794, 585, 32071, 4900, 267, 6008, 788, 13506, 585, 5023, 630, 8243, 1176, 610, 6126, 994, 3918, 307, 7838, 301, 9215, 28960, 13052, 623, 17803, 454, 3918, 307, 7838, 301, 9215, 21832, 26395, 312, 5254, 17803, 476, 274, 623, 17803, 0, 288, 3778, 547, 3465, 2925, 454, 763, 3778, 540, 7085, 623, 1180, 454, 763, 14822, 20417, 454, 3528, 519, 2038, 476, 5197, 271, 781, 513, 29988, 9663, 4123, 729, 11543, 11610, 543, 9635, 540, 513, 18797, 2477, 3459, 547, 7928, 519, 19566, 11076, 563, 5575, 547, 23309, 519, 9703, 540, 3162, 13523, 6115, 941, 519, 8330, 528, 2103, 269, 7917, 26573, 540, 8330, 528, 781, 7414, 674, 584, 7577, 10645, 547, 723, 10841, 2105, 519, 21582, 331, 6308, 5211, 585, 1082, 5195, 543, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10564, 267, 829, 1097, 676, 1087, 515, 6692, 2917, 269, 634, 1957, 3724, 540, 519, 829, 1097, 676, 1087, 515, 6692, 2917, 281, 10564, 543, 12316, 676, 795, 320, 638, 5202, 15273, 327, 718, 523, 693, 3046, 5886, 1299, 15626, 1863, 11288, 593, 1269, 1839, 610, 811, 1775, 3513, 581, 8854, 538, 519, 4158, 269, 589, 3909, 4901, 3576, 1747, 693, 12129, 267, 855, 267, 4166, 1310, 5870, 519, 1762, 10564, 829, 1097, 6692, 2917, 538, 476, 8687, 275, 267, 1714, 25660, 547, 535, 8896, 609, 1864, 267, 519, 19701, 2689, 563, 3891, 2115, 547, 1118, 1007, 519, 2648, 26035, 1063, 10564, 829, 1097, 6692, 2917, 543, 2241, 621, 6501, 2022, 2006, 16137, 547, 2648, 6965, 1247, 12419, 13875, 547, 513, 4583, 10564, 269, 634, 5697, 6965, 543, 18340, 540, 6692, 2917, 1923, 829, 1097, 827, 7005, 6965, 2115, 547, 1378, 6692, 2917, 781, 16367, 7650, 540, 519, 10564, 1299, 1010, 960, 538, 513, 269, 7313, 564, 267, 31075, 543, 28479, 766, 5856, 1286, 565, 3045, 546, 4428, 344, 729, 4535, 593, 476, 2537, 632, 4895, 476, 4198, 276, 538, 1350, 553, 26489, 543, 1224, 6138, 693, 6797, 23051, 6280, 1352, 568, 513, 5449, 9375, 540, 269, 7069, 12404, 748, 28738, 344, 281, 519, 14799, 543, 519, 1259, 538, 799, 1352, 1915, 3278, 1200, 3510, 543, 1200, 2115, 21810, 1018, 519, 1714, 2100, 618, 540, 829, 1097, 6692, 2917, 543, 29827, 269, 901, 3296, 2115, 3606, 630, 10082, 272, 1700, 8146, 273, 264, 729, 519, 1034, 4583, 10564, 3775, 8657, 267, 535, 1042, 524, 630, 1220, 272, 1070, 519, 4342, 8822, 13959, 547, 2025, 7005, 3332, 11783, 744, 9195, 663, 5362, 829, 1097, 676, 1087, 515, 6692, 2917, 476, 8687, 279, 4367, 676, 1258, 729, 849, 513, 10564, 267, 543, 646, 543, 6692, 2917, 2968, 3728, 2828, 267, 3442, 1776, 540, 6692, 2917, 781, 4583, 269, 634, 7005, 5339, 17374, 3406, 713, 3135, 855, 1590, 581, 15422, 30109, 593, 2272, 540, 1010, 4583, 8144, 540, 829, 1097, 676, 1087, 515, 6692, 2917, 267, 29827, 6692, 2917, 543, 269, 25587, 1806, 1331, 726, 4176, 781, 552, 592, 9609, 593, 1100, 2800, 538, 1864, 281, 1152, 2115, 513, 1434, 1159, 871, 610, 1079, 1806, 1331, 829, 1097, 676, 1087, 515, 6692, 2917, 781, 1395, 339, 1025, 4545, 267, 13275, 269, 8871, 9220, 639, 3808, 267, 5310, 519, 1034, 4583, 2126, 540, 519, 7242, 547, 581, 519, 3909, 1381, 540, 1596, 9220, 639, 1282, 519, 2895, 24191, 543, 585, 829, 1097, 6692, 2917, 11783, 4173, 1034, 4583, 3209, 538, 1931, 547, 13599, 1200, 1152, 17005, 1126, 829, 1097, 1166, 648, 1338, 6692, 2917, 32524, 609, 29827, 6692, 2917, 593, 11049, 5601, 7773, 269, 634, 5697, 6965, 543, 18340, 540, 6692, 2917, 630, 5320, 29536, 6965, 264, 630, 5320, 29536, 6965, 5399, 264, 540, 829, 1097, 676, 1087, 515, 6692, 2917, 1007, 7160, 593, 476, 2764, 32414, 476, 1960, 275, 281, 2835, 910, 32312, 8619, 563, 8110, 1097, 676, 1087, 515, 6692, 2917, 630, 13774, 755, 476, 275, 621, 1590, 2115, 581, 602, 519, 8086, 540, 891, 16637, 550, 1919, 1058, 2097, 547, 721, 538, 3029, 10564, 543, 3659, 540, 829, 1097, 6692, 2917, 269, 11137, 540, 519, 9371, 267, 1272, 267, 543, 960, 540, 24469, 781, 2038, 15594, 267, 29827, 530, 3326, 7723, 8154, 267, 2278, 2663, 9310, 519, 10564, 829, 1097, 676, 1087, 515, 6692, 2917, 538, 513, 26648, 269, 17325, 725, 540, 2470, 1557, 1806, 476, 273, 2698, 2164, 476, 21709, 1913, 476, 271, 3817, 606, 7650, 540, 519, 3909, 2115, 540, 829, 1097, 6692, 2917, 267, 513, 4583, 10564, 476, 272, 267, 14096, 1913, 476, 274, 269, 3163, 543, 3909, 538, 519, 1034, 4583, 575, 15402, 16897, 1650, 2479, 5143, 267, 6692, 2917, 15359, 1206, 519, 7687, 540, 519, 10564, 829, 1097, 676, 1087, 515, 6692, 2917, 27260, 14549, 626, 1455, 2666, 281, 19473, 1143, 519, 10564, 829, 1097, 6692, 2917, 9863, 547, 581, 835, 971, 1268, 267, 519, 5692, 540, 519, 7819, 1480, 626, 7681, 568, 547, 269, 634, 1957, 3724, 540, 519, 513, 1272, 609, 29827, 6692, 2917, 676, 543, 547, 519, 4583, 11509, 10564, 267, 829, 1097, 676, 1087, 515, 6692, 2917, 267, 7650, 540, 29827, 6692, 2917, 781, 1272, 607, 606, 269, 11137, 2575, 3381, 12125, 513, 2357, 18743, 729, 6368, 6603, 538, 513, 1164, 3491, 12803, 22149, 543, 4638, 14213, 2013, 5473, 4583, 24821, 2421, 855, 1775, 2219, 3909, 6185, 5877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12126, 309, 12126, 665, 12126, 321, 12126, 262, 16969, 29120, 2042, 689, 519, 8642, 25696, 1522, 581, 1031, 547, 17412, 267, 5310, 607, 513, 19044, 856, 519, 7450, 269, 901, 7140, 856, 547, 581, 513, 1360, 3532, 2856, 855, 649, 786, 19509, 337, 560, 991, 547, 917, 930, 2596, 5013, 827, 14290, 1354, 649, 666, 1174, 875, 789, 948, 547, 4194, 5276, 4834, 269, 6657, 281, 25092, 1950, 2338, 269, 7464, 7852, 267, 16494, 7852, 267, 17033, 16494, 2338, 269, 1546, 16667, 333, 819, 630, 3412, 698, 2435, 1770, 267, 1950, 1297, 267, 1483, 543, 16494, 851, 267, 1950, 31669, 1040, 23645, 18827, 543, 12408, 540, 1950, 2338, 1568, 538, 513, 2147, 1259, 547, 602, 540, 4946, 543, 18946, 1147, 1091, 20136, 568, 711, 9670, 267, 2094, 519, 16494, 1297, 795, 568, 3989, 607, 795, 284, 6912, 8987, 272, 264, 18269, 13216, 2338, 634, 3830, 1535, 273, 1341, 476, 272, 815, 476, 271, 814, 1100, 3435, 267, 1317, 585, 1022, 1483, 1297, 476, 868, 515, 4009, 1535, 476, 273, 529, 1875, 17463, 267, 543, 865, 1535, 1341, 476, 272, 666, 2760, 581, 1447, 982, 476, 272, 16638, 19220, 540, 713, 621, 7140, 856, 547, 581, 1360, 3730, 547, 8263, 602, 972, 568, 513, 1297, 952, 528, 799, 835, 814, 676, 631, 269, 25816, 928, 269, 1315, 6944, 757, 476, 274, 476, 271, 681, 13216, 10606, 20113, 281, 10298, 3267, 5564, 28745, 513, 1950, 1990, 676, 1775, 568, 519, 6697, 540, 15914, 1990, 538, 519, 1950, 7077, 676, 12631, 270, 273, 780, 305, 1731, 619, 6816, 595, 4817, 267, 16661, 3798, 326, 2264, 476, 1691, 17963, 267, 25109, 1495, 15510, 476, 1001, 280, 267, 670, 25352, 11197, 2961, 2452, 12983, 267, 1546, 3691, 322, 523, 328, 661, 4445, 564, 655, 13044, 267, 9487, 345, 333, 5403, 12392, 13335, 4813, 476, 1708, 272, 21584, 267, 645, 1652, 532, 769, 2598, 7666, 1047, 12791, 267, 8575, 1127, 327, 18491, 541, 267, 2549, 4472, 320, 22616, 339, 18237, 8943, 267, 1215, 1677, 17179, 2037, 14712, 24484, 3245, 21311, 17738, 267, 0, 258, 17817, 540, 513, 7455, 6780, 692, 272, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 328, 2731, 991, 930, 948, 609, 713, 2243, 267, 1250, 7084, 568, 1813, 538, 547, 7825, 528, 578, 267, 1775, 1810, 1405, 2731, 1174, 519, 2243, 910, 5225, 948, 2439, 288, 7455, 814, 513, 13506, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 264, 693, 519, 1448, 630, 343, 11971, 264, 543, 10596, 998, 519, 1448, 630, 273, 16427, 274, 1040, 4855, 519, 3830, 540, 519, 7455, 269, 9414, 519, 2626, 609, 513, 17250, 780, 273, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 11039, 596, 917, 602, 16963, 11377, 2765, 346, 11276, 2410, 11459, 348, 815, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 264, 9681, 1692, 798, 596, 15475, 596, 666, 1265, 1269, 344, 284, 1862, 259, 2496, 349, 295, 692, 274, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 328, 1589, 1775, 723, 547, 11753, 519, 13506, 855, 711, 2386, 875, 547, 780, 6011, 1281, 713, 948, 803, 1265, 519, 3830, 540, 519, 7455, 2496, 275, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 2691, 596, 16174, 513, 7455, 267, 596, 3489, 519, 13506, 269, 4475, 267, 952, 596, 11753, 519, 13506, 596, 786, 3489, 519, 7455, 780, 2080, 781, 513, 2241, 1383, 563, 2252, 519, 13506, 540, 513, 7455, 568, 2016, 607, 1269, 273, 343, 22535, 23753, 316, 1287, 282, 6695, 2765, 346, 11276, 2410, 11459, 348, 815, 476, 273, 343, 2330, 3230, 344, 815, 1422, 842, 1422, 2765, 346, 11276, 2410, 11459, 348, 15848, 815, 1422, 842, 476, 273, 343, 15848, 2330, 3230, 344, 815, 1535, 317, 273, 1341, 595, 2330, 4475, 267, 519, 3830, 540, 519, 7455, 568, 1496, 924, 343, 316, 344, 24210, 317, 273, 1341, 595, 10608, 769, 707, 2013, 596, 616, 2016, 513, 1448, 267, 799, 786, 1450, 596, 547, 1265, 519, 3586, 540, 5610, 780, 2710, 596, 1246, 888, 349, 295, 692, 276, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 810, 952, 1775, 16174, 1775, 1205, 10484, 277, 343, 317, 273, 268, 280, 343, 268, 277, 692, 663, 1287, 11753, 10484, 273, 343, 317, 274, 268, 280, 343, 317, 273, 270, 273, 268, 277, 343, 26042, 277, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 2791, 1810, 1405, 991, 547, 16174, 267, 596, 616, 2016, 519, 13506, 540, 519, 7455, 630, 7445, 2765, 346, 11276, 2410, 11459, 4151, 1070, 865, 782, 596, 991, 547, 798, 568, 11753, 780, 349, 295, 692, 278, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 810, 1775, 1205, 10484, 3287, 317, 273, 910, 476, 274, 343, 7565, 274, 343, 317, 273, 270, 273, 1341, 273, 343, 264, 26042, 279, 269, 4455, 476, 2190, 267, 476, 1220, 277, 692, 2162, 8126, 757, 692, 2252, 596, 15814, 1354, 596, 5043, 974, 596, 1205, 476, 277, 311, 317, 273, 268, 276, 343, 268, 277, 454, 604, 596, 11753, 602, 596, 1205, 476, 273, 343, 317, 274, 24179, 276, 270, 273, 32589, 317, 273, 268, 277, 343, 25239, 454, 303, 29888, 538, 596, 1535, 1871, 547, 1265, 524, 780, 280, 269, 4455, 476, 1839, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 2791, 3112, 11753, 519, 23049, 694, 704, 2299, 607, 596, 723, 2944, 269, 594, 1131, 4363, 9750, 519, 23049, 607, 8126, 757, 5267, 267, 1287, 10128, 269, 1306, 594, 1767, 1354, 267, 2899, 596, 723, 7471, 267, 596, 666, 946, 519, 2016, 1448, 547, 1265, 519, 3586, 540, 5610, 780, 349, 295, 692, 1015, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 604, 1775, 4228, 519, 23049, 689, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 264, 1775, 1205, 10484, 277, 343, 317, 273, 1341, 476, 275, 343, 910, 476, 280, 343, 910, 476, 277, 692, 663, 1287, 11753, 10484, 344, 815, 476, 273, 343, 317, 274, 1341, 476, 273, 343, 317, 273, 910, 476, 280, 343, 317, 273, 270, 273, 910, 476, 277, 343, 1341, 322, 692, 4777, 1775, 1287, 1175, 11690, 538, 519, 1535, 543, 586, 2418, 547, 1265, 524, 676, 22198, 4474, 10484, 344, 910, 524, 815, 476, 273, 343, 317, 274, 1341, 476, 273, 343, 317, 273, 910, 476, 280, 343, 317, 273, 270, 273, 910, 476, 277, 343, 26042, 1556, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 8133, 267, 602, 338, 2953, 269, 898, 949, 723, 1044, 12863, 547, 2445, 519, 2474, 1354, 10128, 3976, 16963, 2330, 277, 343, 317, 273, 1341, 476, 275, 343, 910, 476, 280, 343, 910, 476, 277, 1422, 25406, 476, 277, 343, 317, 273, 910, 476, 276, 343, 910, 277, 9681, 3719, 707, 2324, 568, 2953, 267, 607, 1279, 607, 596, 2445, 596, 2474, 1354, 9306, 596, 3803, 2626, 602, 568, 5386, 780, 349, 295, 692, 8310, 12995, 281, 2904, 476, 272, 267, 476, 1220, 277, 454, 1321, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 4777, 596, 1611, 476, 277, 343, 317, 273, 910, 476, 276, 343, 910, 277, 692, 1492, 1267, 540, 713, 1210, 1535, 815, 476, 273, 3947, 476, 279, 454, 323, 3996, 713, 1611, 10484, 268, 274, 910, 524, 815, 476, 279, 692, 2275, 815, 476, 1556, 10484, 322, 815, 910, 1556, 7790, 11631, 2496, 7717, 787, 547, 1832, 593, 855, 1775, 991, 547, 1205, 713, 2953, 2439, 1724, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 8133, 267, 594, 4312, 22621, 1250, 2022, 1657, 780, 5591, 267, 596, 723, 547, 11690, 596, 2338, 630, 343, 815, 476, 273, 267, 586, 815, 910, 274, 264, 883, 707, 954, 326, 3603, 3830, 269, 769, 1250, 3105, 2022, 594, 729, 3274, 15738, 856, 602, 621, 1131, 723, 1044, 4443, 547, 11753, 519, 3830, 952, 596, 1185, 16866, 1101, 780, 349, 295, 692, 1691, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 8304, 291, 7776, 3066, 692, 302, 10798, 267, 594, 1589, 594, 3513, 1118, 621, 513, 3787, 20501, 585, 596, 563, 288, 7455, 814, 513, 13506, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 264, 693, 519, 1448, 630, 343, 11971, 264, 3274, 1797, 602, 519, 9386, 540, 519, 17242, 1899, 547, 519, 1599, 693, 519, 1448, 630, 343, 267, 586, 264, 568, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 1040, 2107, 538, 824, 1913, 267, 519, 12045, 540, 602, 1599, 568, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 1040, 2052, 596, 1205, 713, 888, 3383, 1018, 596, 1058, 798, 568, 547, 1265, 519, 1599, 676, 6616, 922, 12045, 267, 543, 476, 272, 1448, 621, 10596, 998, 563, 2791, 1058, 1101, 1265, 519, 1187, 551, 976, 4171, 12045, 568, 630, 273, 343, 268, 274, 7565, 274, 343, 266, 273, 1070, 596, 666, 798, 713, 676, 10128, 519, 12045, 269, 1656, 1152, 476, 272, 540, 1346, 3252, 786, 1780, 519, 1448, 2016, 267, 609, 713, 1344, 267, 596, 3513, 581, 2111, 547, 3489, 519, 5551, 1599, 563, 1366, 9339, 8894, 7078, 912, 8340, 519, 7455, 4171, 12045, 568, 476, 275, 343, 274, 1341, 476, 276, 267, 543, 10596, 998, 519, 1448, 630, 271, 267, 476, 272, 1916, 1366, 9339, 8894, 5575, 267, 596, 11753, 519, 12045, 912, 11377, 842, 630, 275, 343, 9745, 476, 274, 1341, 476, 276, 264, 15848, 815, 1535, 9745, 476, 275, 1341, 476, 276, 343, 1341, 595, 16465, 2690, 1169, 1871, 540, 595, 267, 596, 3513, 723, 513, 1599, 267, 543, 1346, 3252, 602, 723, 519, 1106, 1535, 275, 1341, 476, 276, 343, 1341, 595, 786, 723, 519, 12045, 540, 476, 275, 343, 274, 1341, 476, 276, 630, 16269, 616, 6252, 547, 1142, 824, 267, 4584, 476, 273, 3982, 595, 781, 267, 3113, 621, 267, 543, 1294, 1018, 594, 1611, 267, 552, 3052, 1535, 275, 1341, 476, 276, 343, 267, 543, 1535, 275, 1341, 476, 276, 343, 1341, 476, 275, 1916, 4517, 476, 272, 543, 1152, 476, 272, 540, 873, 786, 1780, 998, 630, 271, 267, 476, 272, 994, 3383, 912, 272, 815, 476, 6860, 1341, 476, 276, 269, 271, 1341, 595, 454, 27045, 285, 595, 815, 476, 272, 563, 3383, 519, 7455, 568, 586, 815, 1535, 275, 1341, 476, 276, 343, 1341, 476, 272, 563, 4692, 596, 1205, 713, 286, 2433, 2020, 1428, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 30524, 1250, 3803, 3830, 581, 10484, 344, 815, 476, 273, 343, 317, 273, 910, 476, 276, 343, 317, 273, 270, 273, 910, 476, 277, 343, 1341, 476, 274, 7790, 2496, 328, 849, 991, 547, 17250, 519, 3113, 267, 547, 1265, 519, 2798, 1141, 519, 1899, 954, 576, 551, 338, 519, 7852, 798, 1775, 946, 10484, 344, 815, 476, 271, 585, 1535, 7852, 454, 343, 815, 476, 271, 585, 586, 7852, 692, 1626, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967, 692, 1805, 3530, 9622, 7978, 454, 29909, 267, 594, 1589, 621, 568, 1175, 513, 1462, 334, 267, 855, 519, 1101, 2165, 1058, 581, 476, 273, 343, 274, 780, 8133, 267, 596, 616, 2953, 780, 349, 295, 692, 303, 4732, 269, 594, 12575, 1250, 2063, 2022, 1317, 519, 476, 273, 343, 273, 10843, 803, 513, 3787, 780, 1704, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 7717, 787, 621, 729, 9277, 547, 581, 692, 273, 343, 317, 274, 268, 276, 343, 317, 273, 270, 273, 268, 277, 343, 25239, 692, 810, 602, 3947, 803, 10484, 322, 815, 910, 274, 268, 1626, 266, 1015, 266, 1321, 815, 476, 274, 692, 1240, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 15854, 6067, 580, 692, 7717, 787, 602, 729, 513, 3787, 540, 513, 2261, 25070, 267, 9684, 596, 585, 707, 948, 692, 866, 269, 2904, 476, 272, 267, 476, 1220, 277, 692, 2162, 670, 2393, 523, 15967 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 4647, 873, 543, 2119, 547, 4194, 1863, 2238, 568, 331, 563, 26020, 7924, 6128, 3214, 2534, 10213, 942, 3211, 563, 935, 31844, 942, 4976, 2534, 9212, 5662, 1863, 2238, 3211, 585, 1965, 331, 1053, 6460, 563, 8346, 942, 3059, 9219, 3211, 1863, 2238, 568, 331, 3712, 29193, 563, 16451, 7792, 1628, 513, 9219, 10213, 942, 2534, 3211, 2238, 3992, 4566, 585, 3214, 563, 3712, 3005, 540, 1158, 942, 4976, 4647, 873, 543, 2119, 547, 4194, 12348, 1954, 8135, 2238, 3211, 1032, 476, 273, 13004, 10213, 519, 6780, 2534, 563, 27665, 532, 1714, 17863, 942, 4976, 3211, 10213, 2534, 2979, 678, 802, 19298, 12062, 3059, 678, 802, 18694, 3791, 3446, 543, 12746, 23234, 563, 8346, 942, 538, 3211, 1714, 17863, 547, 1820, 1863, 2238, 568, 331, 3712, 29193, 2534, 12062, 960, 563, 5503, 2534, 3211, 519, 1655, 3239, 4015, 1863, 2238, 568, 331, 4647, 543, 2671, 563, 14079, 2979, 2534, 3211, 4015, 540, 3756, 1863, 942, 2238, 568, 331, 563, 12895, 1661, 1186, 2592, 593, 3450, 2093, 1863, 7792, 2241, 519, 942, 3684, 2534, 3211, 9219, 13410, 10213, 1035, 563, 341, 650, 720, 513, 1920, 7874, 3872, 3381, 3126, 1863, 942, 2238, 3211, 7824, 2966, 547, 581, 1187, 1247, 3450, 1453, 1271, 2418, 563, 21745, 1388, 942, 10116, 2250, 4976, 2534, 6656, 1863, 2238, 3211, 568, 331, 6746, 2329, 563, 1889, 20011, 942, 2238, 1863, 3211, 7824, 543, 4266, 4976, 12744, 563, 8346, 942, 4976, 1007, 1655, 2238, 1863, 7792, 3211, 2093, 593, 9219, 563, 14079, 2979, 2534, 3211, 4015, 540, 3756, 12348, 543, 1954, 8135, 2238, 713, 3395, 22753, 2882, 7317, 4063, 3817, 563, 601, 17863, 942, 2534, 1863, 2238, 3211, 585, 1965, 331, 1053, 563, 20584, 4252, 873, 539, 21630, 942, 4976, 2534, 6656, 10213, 6404, 2689, 3211, 3640, 20789, 563, 2745, 762, 2534, 3211, 585, 4587, 3214, 10213, 942, 1863, 2238, 568, 331, 3712, 29193, 1291, 269, 0, 298, 657, 615, 1876, 568, 519, 1305, 540, 3652, 585, 7642, 547, 1246, 269, 1403, 596, 1810, 1405, 1246, 873, 707, 22509, 7219, 786, 1332, 1394, 543, 707, 1274, 337, 902, 786, 15835, 543, 10077, 596, 1768, 1026, 569, 563, 298, 657, 615, 4031, 941, 1101, 6537, 909, 609, 513, 3143, 269, 476, 273, 15513, 676, 15887, 6798, 594, 6277, 541, 519, 26744, 569, 1309, 269, 476, 30420, 271, 14514, 269, 15887, 6798, 594, 6277, 541, 519, 623, 3089, 880, 1500, 1196, 1080, 267, 799, 7142, 1010, 4651, 547, 17551, 1864, 513, 15093, 269, 4340, 547, 31607, 20801, 338, 267, 646, 729, 834, 332, 26663, 17705, 267, 855, 1496, 560, 650, 316, 711, 607, 1434, 607, 29851, 304, 2110, 28937, 4799, 10521, 5553, 2663, 267, 606, 22660, 540, 645, 7578, 2806, 345, 1872, 3773, 22158, 547, 519, 887, 3122, 540, 4031, 269, 11374, 713, 267, 513, 5256, 21802, 22299, 31163, 16940, 856, 1200, 23937, 609, 513, 18903, 4460, 518, 1336, 538, 519, 4270, 540, 31701, 17165, 563, 1103, 519, 5664, 12698, 1896, 25386, 2367, 3773, 519, 14920, 7121, 1412, 322, 1021, 789, 14201, 1405, 1205, 339, 514, 262, 1022, 269, 769, 4425, 1335, 807, 267, 23577, 338, 21936, 539, 547, 723, 519, 4031, 20328, 543, 4465, 267, 855, 3025, 29709, 827, 519, 14469, 543, 865, 649, 2811, 12758, 2221, 609, 891, 31433, 269, 2696, 5128, 9516, 519, 4031, 676, 2870, 513, 6360, 2282, 808, 3530, 320, 267, 5840, 538, 476, 14917, 280, 563, 7628, 519, 2527, 9194, 689, 6239, 2342, 547, 519, 2136, 2276, 543, 602, 2370, 2197, 547, 519, 5087, 267, 7642, 4547, 519, 4031, 609, 873, 267, 1454, 547, 519, 9636, 540, 519, 6014, 12733, 538, 570, 4861, 7723, 267, 14151, 267, 799, 1185, 7550, 14929, 328, 4031, 543, 546, 2331, 513, 2603, 896, 519, 3310, 540, 7199, 751, 638, 10042, 543, 512, 20557, 10889, 14900, 3276, 7970, 689, 10793, 2987, 7308, 5174, 2135, 14060, 563, 1103, 476, 3707, 280, 606, 3486, 12355, 10554, 20366, 547, 723, 519, 4031, 9102, 1210, 606, 2038, 22126, 1496, 16942, 6870, 316, 287, 30311, 2780, 269, 901, 1820, 2816, 3576, 476, 1691, 1296, 547, 9096, 269, 25227, 7642, 5795, 741, 26460, 2390, 922, 12032, 563, 298, 657, 615, 4031, 616, 9674, 676, 6688, 1572, 834, 322, 20975, 257, 630, 514, 12355, 267, 834, 13906, 1399, 3766, 648, 903, 257, 1916, 297, 31974, 949, 711, 3548, 20230, 8259, 621, 568, 6151, 563, 297, 31974, 949, 711, 3548, 24111, 3694, 338, 1282, 30687, 8259, 1402, 6853, 5452, 723, 1044, 3773, 563, 297, 31974, 949, 711, 4235, 22090, 4486, 610, 13084, 27158, 8259, 621, 568, 519, 10464, 652, 6216, 2139, 538, 707, 23407, 3009, 563, 297, 31974, 949, 711, 723, 3023, 609, 1004, 540, 519, 1482, 3023, 9497, 327, 558, 657, 839, 7081, 8442, 609, 519, 8279, 5828, 1055, 269, 12414, 1412, 655, 593, 256, 20780, 856, 519, 3381, 8254, 256, 9523, 707, 7772, 593, 13334, 2336, 297, 31974, 949, 711, 15958, 7875, 622, 1510, 519, 5351, 540, 6151, 20230, 269, 6496, 333, 1405, 602, 1745, 865, 1454, 1732, 888, 11321, 5846, 543, 3023, 568, 1152, 11807, 593, 519, 1101, 3781, 585, 607, 1279, 607, 596, 616, 9310, 1927, 269, 595, 262, 652, 3288, 642, 773, 2336, 25332, 6326, 519, 590, 30117, 454, 1607, 568, 1655, 2944, 689, 513, 15989, 11381, 609, 10822, 22811, 338, 563, 29994, 529, 616, 3905, 538, 741, 26977, 269, 901, 568, 1813, 547, 519, 1249, 602, 621, 781, 3905, 538, 5840, 269, 1809, 4734, 519, 29240, 4805, 269, 1358, 856, 15893, 721, 476, 4335, 267, 1822, 547, 835, 269, 5502, 267, 3548, 910, 661, 2969, 2336, 763, 13669, 31053, 3081, 602, 952, 596, 798, 711, 723, 1453, 267, 519, 22560, 10523, 609, 2025, 2367, 269, 1809, 596, 666, 1205, 1472, 713, 676, 535, 14513, 14194, 641, 1154, 513, 1126, 945, 2115, 707, 948, 269, 634, 4168, 4132, 27231, 262, 8750, 568, 513, 1434, 1376, 585, 17485, 619, 563, 5591, 4035, 949, 723, 811, 2724, 982, 1010, 7023, 269, 23010, 1318, 256, 8058, 1412, 655, 945, 781, 1283, 2915, 563, 303, 1137, 538, 7121, 834, 298, 657, 615, 4521, 4840, 1607, 7121, 3568, 1152, 519, 1739, 2985, 269, 0, 763, 7216, 5403, 2000, 541, 1998, 853, 1137, 543, 3590, 1738, 19024, 540, 454, 292, 1722, 333, 565, 600, 1962, 639, 513, 14094, 529, 631, 269, 661, 269, 543, 700, 269, 630, 24154, 16408, 3120, 994, 314, 5649, 1354, 654, 2454, 2023, 25032, 267, 5437, 476, 3066, 267, 476, 4198, 271, 282, 4607, 676, 15503, 267, 5988, 476, 866, 267, 476, 4198, 272, 2639, 1607, 1353, 568, 851, 540, 513, 3126, 19443, 676, 513, 9886, 2987, 268, 4660, 540, 1382, 689, 519, 2160, 3194, 6182, 1218, 9730, 563, 1607, 1957, 14439, 543, 6257, 519, 2038, 1606, 9116, 1194, 267, 2022, 2000, 541, 1998, 5933, 540, 519, 26029, 267, 661, 1722, 333, 565, 600, 1962, 639, 513, 14094, 529, 631, 7232, 269, 543, 700, 1421, 799, 568, 513, 1455, 21049, 2249, 1336, 693, 519, 2539, 23864, 2157, 593, 588, 3415, 543, 22586, 5032, 338, 269, 1452, 2022, 2000, 541, 1998, 5933, 616, 540, 519, 6574, 1871, 538, 519, 8990, 540, 519, 9836, 4567, 540, 713, 2249, 267, 799, 729, 8385, 630, 7277, 272, 264, 5116, 538, 519, 3487, 1156, 641, 13160, 543, 7608, 607, 513, 4759, 540, 713, 1920, 676, 667, 3570, 267, 631, 4536, 630, 6942, 277, 1070, 543, 676, 8606, 3128, 630, 6642, 276, 1040, 769, 476, 6942, 280, 267, 631, 4536, 11843, 519, 2249, 547, 519, 968, 4692, 1356, 2088, 324, 5608, 607, 1373, 13591, 1063, 519, 8545, 543, 519, 3487, 1156, 641, 13160, 267, 2094, 1247, 972, 568, 6825, 11696, 28917, 547, 15303, 641, 17377, 607, 538, 519, 9450, 21083, 1106, 540, 519, 1286, 777, 864, 267, 3092, 1421, 631, 4536, 2808, 602, 519, 20771, 543, 13494, 2522, 4525, 1397, 25505, 609, 9435, 9789, 4395, 1373, 21536, 984, 622, 267, 519, 9206, 749, 636, 16934, 689, 519, 20771, 554, 9332, 639, 267, 519, 18751, 7953, 711, 17693, 6134, 267, 543, 9247, 519, 7953, 711, 10703, 4705, 676, 519, 1286, 777, 864, 563, 14503, 15199, 630, 4350, 271, 264, 8039, 519, 3487, 1156, 641, 13160, 267, 543, 15151, 24693, 631, 4536, 685, 3932, 267, 585, 646, 10530, 631, 4536, 630, 6942, 280, 264, 543, 2306, 1100, 2417, 4704, 547, 661, 1722, 333, 565, 600, 1962, 639, 538, 713, 2689, 269, 634, 2937, 661, 269, 513, 14094, 529, 814, 513, 21603, 666, 322, 5514, 1795, 625, 269, 634, 3404, 10455, 1506, 333, 577, 748, 4162, 616, 6922, 2213, 676, 713, 10073, 540, 713, 666, 322, 5514, 1106, 267, 543, 22111, 6514, 540, 1256, 519, 2937, 6770, 519, 4567, 540, 519, 2249, 607, 513, 851, 1156, 641, 573, 883, 8969, 269, 634, 1750, 28309, 2644, 267, 1498, 1279, 1152, 538, 519, 4102, 15013, 267, 616, 21230, 5985, 543, 519, 11263, 711, 6825, 569, 18761, 593, 519, 1688, 269, 670, 10541, 24827, 616, 1459, 269, 1306, 631, 4536, 5462, 267, 519, 2034, 4745, 540, 519, 19215, 568, 2965, 1804, 267, 16119, 7923, 547, 519, 19815, 727, 267, 543, 3246, 606, 18106, 6989, 547, 519, 10739, 865, 602, 519, 25057, 616, 5266, 1134, 268, 11526, 282, 855, 782, 540, 891, 3197, 3277, 811, 547, 519, 20727, 13160, 982, 519, 3487, 1156, 641, 13160, 543, 1869, 1447, 865, 547, 519, 2052, 322, 5090, 2801, 269, 769, 519, 2052, 322, 5090, 2801, 267, 607, 1634, 547, 803, 538, 9435, 18051, 2801, 268, 2763, 531, 663, 23706, 267, 519, 10739, 568, 6083, 1819, 7361, 676, 606, 1102, 571, 12643, 1388, 6676, 689, 2630, 543, 519, 2034, 10126, 540, 519, 19215, 3029, 1152, 513, 1507, 6712, 540, 519, 6989, 563, 763, 2022, 2000, 541, 1998, 5933, 4330, 2630, 4894, 782, 8969, 689, 519, 4567, 540, 661, 269, 513, 14094, 529, 607, 606, 3404, 10455, 1506, 333, 577, 269, 634, 1134, 31465, 267, 28836, 887, 14259, 282, 519, 18106, 10739, 9967, 540, 513, 24101, 571, 22811, 552, 1511, 267, 513, 24140, 5529, 2022, 22811, 1184, 267, 543, 606, 18060, 532, 12636, 282, 519, 1930, 5887, 1537, 2460, 540, 519, 10739, 282, 24725, 2881, 828, 3380, 282, 554, 10541, 24827, 267, 1031, 585, 9633, 532, 282, 519, 23762, 2034, 10126, 540, 519, 19215, 8876, 606, 18751, 543, 606, 606, 7932, 8632, 12636, 282, 782, 891, 2934, 543, 519, 2489, 1795, 625, 616, 454, 8993, 269, 476, 272, 1765, 5575, 2022, 2000, 541, 1998, 3942, 269, 667, 832, 531, 2070, 540, 1286, 777, 864, 269, 932, 987, 600, 11866, 563, 8993, 269, 476, 273, 1700, 13553, 2022, 2000, 541, 1998, 3942, 269, 667, 832, 531, 2070, 540, 1286, 777, 864, 269, 6816, 7345, 563, 8993, 269, 476, 274, 1765, 23612, 3193, 650, 21317, 267, 2451, 2427, 267, 540, 2034, 2022, 2000, 541, 1998, 3942, 563, 8993, 269, 476, 275, 1765, 2304, 10262, 6712, 540, 1286, 777, 864, 538, 5887, 1537, 2070, 267, 2034, 2022, 2000, 541, 1998, 3942, 563, 8993, 269, 476, 276, 1765, 19177, 628, 1850, 540, 2034, 2022, 2000, 541, 1998, 3942, 538, 17911, 2070, 563, 8993, 269, 476, 277, 1765, 6781, 323, 1580, 540, 2034, 2022, 2000, 541, 1998, 3942, 563, 8993, 269, 476, 278, 1765, 290, 3559, 320, 540, 2034, 2022, 2000, 541, 1998, 3942, 267, 9018, 2460, 563, 8993, 269, 476, 279, 1765, 300, 1446, 5418, 641, 617, 267, 2451, 2427, 267, 24725, 2460, 563, 8993, 269, 476, 279, 320, 1765, 288, 24128, 540, 5418, 641, 617, 267, 24725, 2460, 563, 8993, 269, 476, 280, 1765, 2304, 10262, 6712, 540, 1286, 777, 864, 538, 5887, 1537, 2070, 267, 2937, 5256, 563, 8993, 269, 476, 1015, 1765, 299, 8632, 2070, 540, 18751, 6712, 540, 1286, 777, 864, 547, 1397, 1016, 515, 31154, 26995, 563, 8993, 269, 476, 1556, 1765, 291, 832, 531, 2070, 540, 1286, 777, 864, 540, 2937, 5256, 269, 654, 2454, 2023, 563, 8993, 269, 476, 1321, 1765, 6781, 323, 1580, 543, 29523, 636, 540, 2937, 5256, 563, 5472, 10253, 815, 476, 272, 6515, 269, 4849, 532, 8431, 269, 476, 1556, 563, 2135, 10455, 1506, 333, 577, 748, 630, 305, 987, 321, 684, 267, 476, 4572, 276, 1040, 1703, 568, 1100, 11696, 28917, 547, 519, 2909, 577, 10455, 1506, 333, 577, 2022, 2000, 541, 1998, 5933, 607, 1634, 547, 803, 563, 763, 2990, 540, 661, 269, 513, 14094, 529, 538, 519, 7621, 10455, 1506, 333, 15939, 568, 2352, 547, 3715, 267, 2094, 594, 723, 1044, 8572, 547, 3489, 1239, 593, 519, 2038, 12306, 5933, 540, 891, 28725, 269, 634, 3487, 1156, 641, 13160, 616, 711, 6382, 1634, 585, 1715, 10215, 267, 855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 11035, 6844, 281, 23397, 12834, 281, 30667, 476, 866, 268, 2641, 454, 15675, 513, 3848, 912, 5475, 606, 10071, 538, 799, 519, 1473, 558, 3386, 5083, 1132, 606, 10546, 535, 3419, 622, 267, 1849, 12000, 691, 4485, 18279, 966, 699, 269, 1261, 6645, 519, 23071, 602, 972, 568, 835, 13743, 528, 20829, 945, 568, 5906, 269, 1261, 782, 26360, 547, 519, 1249, 602, 1082, 540, 519, 12284, 616, 24330, 2367, 267, 543, 930, 3576, 851, 538, 519, 2487, 4573, 514, 625, 693, 1975, 527, 3650, 543, 715, 648, 269, 1261, 10522, 789, 1522, 581, 4712, 547, 6443, 1776, 4573, 4176, 593, 519, 1473, 558, 3386, 267, 543, 6645, 966, 699, 646, 568, 3592, 1978, 602, 513, 24242, 568, 1373, 15841, 267, 3366, 676, 713, 835, 13743, 528, 269, 1849, 12000, 691, 781, 782, 4288, 547, 519, 715, 648, 4573, 4176, 3045, 9081, 519, 23071, 267, 4352, 646, 568, 711, 3768, 340, 569, 22841, 676, 1849, 12000, 691, 781, 1867, 269, 1261, 568, 711, 4625, 18617, 540, 519, 2357, 13369, 540, 1018, 1849, 12000, 691, 814, 5143, 1864, 563, 5141, 12000, 691, 1287, 4408, 519, 812, 646, 568, 13288, 547, 269, 898, 568, 540, 1576, 25381, 6844, 269, 18279, 966, 699, 568, 22035, 1639, 269, 1809, 1849, 12000, 691, 3081, 602, 18284, 1010, 16990, 16538, 267, 6844, 568, 513, 5906, 812, 563, 309, 699, 568, 14281, 1317, 646, 814, 513, 15028, 12705, 540, 25381, 269, 1261, 8098, 2231, 519, 1259, 25381, 7608, 609, 1434, 11419, 602, 646, 729, 1373, 7142, 883, 17189, 3028, 269, 966, 699, 849, 1237, 1407, 540, 25381, 781, 2773, 2094, 646, 814, 1044, 593, 519, 6928, 267, 543, 729, 3206, 540, 5356, 1864, 513, 13319, 563, 309, 699, 7569, 6169, 540, 1849, 12000, 691, 781, 25197, 725, 267, 543, 646, 29808, 1010, 4487, 27408, 268, 15767, 602, 952, 1010, 1867, 568, 7301, 267, 646, 786, 581, 554, 6548, 269, 1849, 12000, 691, 30491, 602, 646, 814, 6169, 269, 966, 699, 568, 31536, 633, 827, 1018, 1522, 4755, 952, 1849, 12000, 691, 781, 25197, 566, 941, 547, 1831, 15597, 1634, 267, 865, 646, 16976, 547, 8399, 23900, 269, 1261, 14805, 976, 15751, 267, 513, 554, 2459, 1442, 1532, 1195, 630, 320, 2186, 540, 1130, 564, 264, 543, 6645, 519, 7911, 547, 15739, 564, 569, 1217, 25381, 602, 646, 568, 4941, 538, 519, 23071, 781, 19970, 563, 290, 2194, 664, 966, 699, 267, 1849, 12000, 691, 543, 25381, 6844, 2743, 538, 519, 23071, 781, 19970, 269, 1849, 12000, 691, 5654, 25381, 538, 519, 3750, 543, 28197, 1010, 25197, 566, 269, 25381, 568, 4633, 1652, 269, 18279, 966, 699, 6645, 1864, 547, 3717, 909, 543, 9718, 5128, 269, 25381, 267, 945, 568, 22035, 1639, 693, 519, 25197, 566, 267, 9620, 18418, 2299, 547, 1205, 930, 1913, 856, 267, 855, 1317, 540, 1010, 15372, 267, 1010, 4633, 15641, 2939, 5526, 543, 11151, 1864, 689, 6031, 513, 2262, 269, 18279, 966, 699, 267, 27378, 1018, 519, 1966, 568, 267, 6645, 1864, 9900, 547, 1491, 1010, 942, 269, 25381, 9620, 9875, 547, 3717, 267, 855, 1869, 4986, 2501, 856, 540, 1010, 5023, 269, 3973, 10393, 1010, 1318, 6186, 22534, 856, 543, 16716, 1849, 12000, 691, 593, 519, 30432, 269, 1849, 12000, 691, 8813, 547, 519, 2666, 543, 6013, 5163, 1652, 563, 309, 699, 15920, 25381, 547, 513, 588, 831, 7112, 543, 6645, 1864, 547, 7227, 2394, 646, 568, 2040, 3000, 539, 269, 966, 699, 15920, 585, 513, 18874, 267, 945, 25495, 602, 1849, 12000, 691, 568, 4666, 269, 966, 699, 568, 1360, 989, 18469, 543, 2306, 930, 9599, 24616, 602, 519, 18874, 9060, 23892, 269, 3973, 646, 543, 519, 18874, 1847, 519, 1560, 547, 1776, 4055, 269, 966, 699, 3081, 646, 786, 5612, 1289, 513, 14941, 3650, 630, 655, 1120, 1890, 264, 5480, 563, 763, 18874, 3762, 519, 19970, 2407, 540, 3765, 15130, 269, 1261, 1281, 711, 1589, 519, 14941, 3650, 5480, 568, 513, 1434, 2856, 269, 1261, 1131, 4782, 547, 27185, 821, 2962, 2394, 519, 6928, 556, 14765, 1231, 922, 27805, 1258, 267, 543, 1287, 3277, 519, 2013, 547, 519, 8098, 12637, 269, 5940, 32328, 676, 966, 699, 781, 9490, 6073, 267, 646, 13300, 2436, 519, 23071, 949, 581, 1202, 2033, 563, 1103, 891, 11271, 267, 4352, 789, 4183, 519, 32692, 1063, 1849, 12000, 691, 543, 25381, 6844, 602, 814, 1279, 1044, 2679, 267, 519, 8561, 568, 2731, 593, 18279, 966, 699, 269, 1849, 12000, 691, 543, 25381, 6844, 13789, 607, 789, 1590, 267, 1849, 12000, 691, 12592, 676, 9409, 267, 543, 25381, 6844, 561, 4770, 856, 538, 967, 17257, 17140, 693, 1373, 7301, 569, 15034, 269, 634, 12572, 12205, 540, 25381, 607, 14088, 267, 630, 4883, 12510, 812, 1354, 519, 12096, 1070, 543, 1849, 12000, 691, 607, 519, 9409, 1583, 25871, 616, 7368, 538, 891, 11271, 267, 11173, 519, 13513, 602, 814, 1044, 3964, 1282, 519, 1576, 540, 519, 3209, 563, 2005, 568, 18279, 966, 699, 4171, 2623, 568, 1631, 547, 581, 2322, 896, 519, 17209, 269, 898, 568, 646, 945, 568, 2322, 538, 513, 25432, 2352, 2990, 267, 799, 786, 1449, 1010, 5759, 543, 1010, 10385, 269, 769, 3184, 476, 866, 267, 966, 699, 781, 11108, 5837, 2298, 568, 15091, 269, 1261, 814, 1434, 11521, 1431, 827, 519, 1898, 2470, 540, 1346, 646, 10742, 267, 543, 538, 519, 3510, 646, 9060, 5128, 538, 646, 15109, 1010, 3527, 5402, 269, 1261, 568, 929, 644, 550, 543, 18762, 269, 1717, 267, 966, 699, 781, 10385, 827, 10912, 519, 14941, 3650, 5480, 568, 20402, 676, 519, 18874, 630, 24392, 711, 547, 966, 699, 781, 3068, 1070, 945, 849, 12651, 519, 4715, 518, 540, 966, 699, 781, 1533, 540, 2247, 563, 2005, 568, 2312, 602, 966, 699, 11099, 25381, 6844, 547, 581, 17608, 540, 1849, 12000, 691, 781, 5279, 269, 1261, 849, 20475, 1010, 3661, 602, 1849, 12000, 691, 781, 2669, 4564, 519, 10385, 540, 2696, 1996, 1864, 269, 3571, 844, 7627, 689, 519, 7734, 540, 20450, 630, 8002, 338, 476, 276, 281, 476, 272, 268, 276, 1070, 25495, 713, 281, 834, 2005, 568, 519, 10143, 10385, 593, 1323, 534, 5362, 10590, 769, 519, 6426, 267, 1323, 534, 5362, 13290, 547, 609, 3835, 689, 519, 19980, 548, 8834, 930, 2724, 646, 814, 1500, 689, 9513, 3959, 269, 8834, 6645, 1864, 646, 814, 561, 1221, 711, 547, 2367, 855, 547, 2696, 269, 1879, 646, 30650, 713, 267, 1323, 534, 5362, 8813, 1524, 4666, 269, 3571, 2669, 568, 5156, 676, 1346, 1459, 547, 581, 513, 10385, 540, 2696, 593, 1010, 6013, 563, 763, 5683, 543, 5837, 2243, 585, 18279, 966, 699, 1631, 3587, 267, 952, 1849, 12000, 691, 729, 513, 7301, 934, 12528, 267, 1018, 1058, 1831, 540, 25381, 6844, 945, 7166, 1864, 286, 1403, 1849, 12000, 691, 964, 5703, 547, 5884, 267, 543, 1010, 2669, 568, 2696, 781, 10385, 2390, 1864, 267, 1018, 1058, 581, 519, 12556, 540, 519, 812, 945, 729, 9117, 1152, 607, 2696, 781, 6293, 286, 8307, 513, 4090, 1310, 966, 699, 2588, 1562, 519, 19722, 827, 1323, 534, 5362, 267, 646, 5526, 547, 2626, 713, 2243, 281, 834, 1805, 30638, 4666, 676, 606, 21425, 540, 2696, 256, 1809, 519, 21425, 1590, 13793, 10590, 1809, 607, 519, 1985, 3184, 786, 1397, 267, 519, 2339, 568, 711, 602, 2241, 269, 0, 7197, 2487, 29981, 2090, 723, 8815, 602, 2413, 5017, 2887, 883, 1614, 804, 3547, 912, 268, 6022, 2801, 1758, 987, 2801, 267, 5627, 519, 3731, 2572, 543, 17646, 13904, 454, 268, 11829, 334, 753, 518, 2801, 5258, 883, 454, 268, 32286, 2314, 5627, 3388, 3116, 563, 7712, 519, 6602, 540, 12098, 32713, 476, 807, 2967, 18412, 1696, 620, 269, 476, 1220, 276, 267, 513, 6177, 10362, 547, 519, 5775, 518, 6134, 525, 689, 519, 31350, 17675, 267, 621, 568, 2312, 602, 713, 6498, 538, 2185, 1899, 1137, 4564, 2234, 9911, 689, 1354, 519, 918, 20081, 10465, 269, 634, 8446, 540, 21388, 1941, 529, 21378, 639, 689, 519, 31350, 17675, 21388, 932, 1779, 607, 513, 4759, 540, 519, 623, 836, 718, 6134, 525, 1140, 6479, 585, 519, 4527, 540, 519, 824, 7936, 540, 519, 11829, 334, 753, 518, 2801, 1354, 519, 918, 20081, 27995, 776, 563, 20751, 519, 32286, 2314, 267, 2705, 267, 3347, 723, 1279, 1044, 3592, 4625, 796, 637, 9407, 269, 4107, 8100, 1869, 946, 519, 8760, 3964, 676, 22911, 3467, 585, 519, 19160, 540, 13418, 267, 855, 621, 814, 1279, 1044, 16143, 602, 1082, 540, 519, 8106, 9753, 630, 7945, 607, 595, 6625, 328, 6134, 525, 610, 30421, 6134, 525, 264, 616, 4874, 874, 1803, 6776, 543, 2099, 8733, 2864, 982, 29981, 31174, 1137, 563, 1692, 1454, 910, 952, 1022, 910, 540, 519, 4763, 1369, 713, 804, 1228, 11710, 689, 1354, 519, 918, 20081, 10465, 568, 1869, 513, 2339, 540, 910, 693, 2053, 3905, 910, 7521, 269, 18726, 2164, 798, 3100, 547, 5815, 606, 5393, 4028, 5982, 6721, 513, 1804, 1297, 540, 1899, 1137, 538, 5266, 2110, 1974, 540, 942, 269, 901, 2965, 2306, 621, 2352, 547, 3715, 519, 4110, 547, 799, 1899, 1137, 616, 1644, 269, 634, 2038, 1296, 540, 519, 19232, 18152, 267, 1175, 1310, 519, 2249, 4763, 540, 519, 4541, 1185, 1044, 12517, 21022, 616, 606, 6654, 11134, 585, 513, 1974, 538, 799, 971, 4028, 5982, 1223, 723, 5949, 563, 2304, 4505, 1353, 538, 519, 476, 1960, 271, 781, 1759, 593, 5027, 10316, 1436, 3361, 1454, 630, 3286, 1881, 264, 25949, 827, 519, 14496, 540, 922, 8753, 267, 552, 3052, 269, 513, 5318, 10137, 540, 519, 595, 6625, 328, 6134, 525, 547, 1331, 10838, 1866, 519, 1715, 2622, 642, 30743, 269, 2991, 519, 2490, 540, 519, 26992, 27723, 4824, 2409, 540, 5027, 2861, 16198, 543, 540, 8579, 4393, 2409, 585, 713, 1826, 540, 1239, 1500, 621, 2009, 547, 8774, 1007, 1769, 593, 519, 1894, 1369, 519, 32286, 2314, 804, 1228, 563, 1103, 476, 1220, 275, 267, 674, 664, 543, 17921, 1372, 3370, 513, 29981, 2079, 1210, 519, 16061, 1922, 2320, 514, 4094, 5444, 609, 513, 2864, 9097, 1267, 910, 519, 32286, 2314, 8593, 883, 1079, 2101, 804, 3547, 267, 609, 519, 4130, 540, 519, 1079, 804, 3547, 267, 519, 5450, 2314, 267, 7768, 540, 606, 31174, 720, 540, 5017, 540, 799, 1034, 2818, 1185, 2760, 5892, 1044, 16143, 607, 14077, 267, 543, 1185, 8197, 1044, 8655, 547, 9753, 4171, 824, 2818, 8593, 1369, 519, 20840, 2314, 269, 1306, 11329, 856, 676, 519, 4589, 267, 827, 519, 1152, 4183, 3838, 676, 782, 519, 2818, 540, 5450, 2314, 729, 602, 789, 1185, 782, 1044, 9833, 607, 18105, 4094, 13443, 7334, 269, 6736, 519, 10636, 13454, 344, 540, 519, 2164, 267, 789, 941, 1134, 23418, 9285, 676, 1312, 18849, 14259, 6137, 543, 28724, 3892, 269, 589, 2663, 267, 4830, 2079, 676, 18238, 5459, 1696, 620, 269, 630, 1220, 277, 264, 1210, 513, 3677, 25819, 540, 6090, 849, 16626, 519, 1482, 1267, 269, 898, 849, 6462, 513, 6498, 540, 519, 20840, 2314, 883, 1614, 2101, 804, 3547, 1107, 519, 4077, 611, 686, 6134, 525, 267, 513, 804, 1228, 10199, 7222, 547, 519, 834, 327, 27941, 2244, 5017, 257, 543, 513, 804, 1228, 7768, 6140, 540, 1216, 18346, 630, 10472, 6498, 1185, 1044, 1336, 676, 674, 664, 543, 17921, 1372, 267, 855, 711, 1134, 23418, 19959, 1040, 634, 3529, 2630, 568, 1759, 593, 519, 2164, 540, 18238, 5459, 1696, 620, 269, 1107, 942, 786, 2995, 2436, 789, 3136, 547, 581, 6462, 269, 589, 2663, 2864, 3573, 1353, 676, 27725, 9116, 1696, 620, 269, 630, 1220, 279, 264, 1705, 6166, 519, 2949, 3529, 609, 513, 1906, 2242, 269, 634, 804, 1228, 5450, 2314, 552, 3052, 269, 568, 711, 1360, 1134, 6462, 607, 922, 1489, 12346, 8185, 593, 835, 5365, 1152, 269, 634, 15523, 1369, 519, 1895, 616, 1360, 2620, 269, 589, 1353, 593, 24197, 5027, 676, 21546, 7304, 747, 1841, 1696, 620, 269, 630, 1220, 279, 264, 1201, 2373, 602, 5450, 2314, 568, 513, 4570, 804, 1228, 269, 634, 11078, 2078, 1063, 6067, 15816, 630, 303, 617, 4602, 539, 13160, 264, 543, 1166, 5446, 657, 630, 4942, 14535, 545, 16239, 6134, 525, 264, 568, 811, 3622, 7608, 269, 16952, 1344, 729, 6508, 689, 10486, 540, 741, 15495, 630, 331, 823, 282, 9652, 267, 24910, 623, 476, 1220, 277, 1040, 21231, 713, 1344, 729, 3144, 547, 5815, 513, 2078, 609, 519, 5775, 518, 6134, 525, 267, 855, 2663, 621, 2968, 2312, 602, 26414, 1185, 4607, 930, 540, 741, 15495, 689, 519, 6067, 15816, 267, 2864, 982, 519, 824, 1259, 1472, 269, 634, 2012, 21001, 526, 1941, 527, 1127, 729, 6069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3610, 616, 6031, 912, 257, 29557, 30595, 6068, 713, 2534, 30882, 5415, 5053, 8285, 8249, 454, 1892, 5053, 31054, 8249, 454, 5415, 5053, 27413, 8249, 454, 26926, 483, 30947, 645, 22857, 454, 26926, 483, 17676, 5053, 27413, 6478, 9612, 454, 26926, 483, 17676, 5053, 27413, 9061, 5320, 454, 26926, 483, 5053, 27413, 5403, 518, 454, 26926, 483, 7822, 676, 7089, 17491, 4787, 1638, 454, 296, 9364, 2648, 547, 5873, 707, 5955, 2336, 4517, 267, 596, 666, 7118, 17099, 593, 11334, 9796, 11334, 256, 3962, 12773, 543, 6085, 596, 4734, 585, 2472, 596, 4076, 12349, 3947, 596, 570, 335, 307, 5491, 799, 596, 666, 946, 4724, 2104, 16306, 563, 12812, 29477, 483, 547, 1246, 1250, 4558, 2336, 3725, 576, 633, 10865, 4757, 10311, 540, 1007, 2200, 267, 1863, 9812, 1299, 4558, 2647, 6455, 8627, 4107, 1007, 2200, 616, 476, 2004, 260, 1055, 585, 519, 1101, 476, 4366, 3108, 269, 0, 4942, 517, 2438, 17607, 281, 28924, 762, 25478, 568, 513, 1187, 20471, 540, 519, 1032, 4199, 585, 8026, 27612, 10203, 269, 901, 4647, 2882, 476, 275, 5036, 540, 27612, 1319, 338, 267, 835, 585, 1142, 4005, 267, 865, 596, 666, 1689, 621, 856, 547, 23906, 1156, 909, 513, 4099, 610, 606, 2534, 269, 1703, 616, 1079, 27612, 1319, 338, 829, 2985, 267, 865, 596, 666, 3442, 547, 1820, 593, 3556, 18450, 543, 2759, 873, 6306, 610, 1820, 593, 2834, 1957, 543, 8936, 835, 2985, 547, 1142, 2427, 540, 519, 3330, 540, 513, 3758, 17835, 269, 1703, 616, 476, 1839, 4605, 10580, 829, 27612, 1293, 269, 594, 3810, 4363, 8228, 593, 3556, 18450, 543, 22495, 908, 952, 2009, 269, 1403, 596, 1616, 547, 7941, 873, 909, 8449, 1063, 519, 12405, 602, 1131, 581, 476, 276, 4605, 10580, 829, 1319, 267, 829, 4005, 563, 296, 13948, 267, 798, 711, 7941, 873, 909, 4005, 958, 267, 1317, 875, 1082, 5079, 594, 1118, 2139, 568, 875, 594, 16174, 1565, 269, 594, 2196, 1055, 513, 7008, 540, 5036, 540, 4605, 10580, 865, 594, 666, 723, 1114, 21168, 585, 1114, 2516, 269, 594, 1832, 519, 1482, 4605, 1319, 338, 538, 7740, 267, 855, 1142, 1895, 6487, 799, 4605, 17142, 630, 3712, 1819, 23508, 264, 547, 946, 950, 621, 779, 741, 2490, 269, 2142, 2386, 707, 1053, 917, 1018, 519, 5961, 616, 1354, 4730, 267, 2523, 519, 476, 274, 543, 476, 275, 27612, 1913, 269, 630, 2690, 1383, 281, 23140, 4041, 309, 3041, 12778, 711, 7641, 267, 645, 2975, 312, 290, 4041, 711, 19739, 17395, 267, 681, 295, 2562, 8016, 2207, 5308, 711, 681, 295, 2562, 302, 267, 543, 13138, 2975, 2207, 2969, 302, 4916, 711, 667, 2562, 5308, 288, 7838, 994, 2414, 7591, 281, 12414, 4605, 10580, 3068, 909, 543, 1747, 1142, 5858, 593, 519, 1319, 609, 519, 12805, 1297, 540, 24424, 269, 1703, 616, 4605, 24069, 630, 659, 27163, 267, 6777, 4148, 1389, 267, 5810, 267, 543, 12566, 1952, 956, 264, 602, 1053, 666, 5905, 1247, 10126, 532, 519, 2262, 538, 1931, 547, 948, 1293, 519, 24424, 269, 1403, 596, 1616, 547, 1118, 621, 968, 1345, 19295, 9535, 892, 596, 666, 2328, 519, 1297, 593, 519, 1394, 540, 519, 11777, 269, 594, 723, 1053, 1491, 513, 4605, 540, 741, 8737, 4099, 960, 609, 513, 1362, 27317, 269, 6271, 4781, 1131, 581, 547, 723, 873, 2721, 513, 4605, 540, 835, 610, 1079, 1919, 689, 1142, 1895, 1310, 789, 723, 8737, 18570, 269, 0, 4263, 713, 1377, 596, 4440, 2907, 917, 1034, 540, 519, 4948, 1913, 585, 9660, 269, 3371, 616, 930, 3688, 540, 7802, 610, 2694, 540, 873, 799, 616, 5310, 1447, 5432, 563, 30860, 602, 1034, 3688, 540, 7802, 8720, 519, 7953, 616, 12683, 1913, 1152, 543, 267, 952, 596, 6999, 1293, 873, 267, 596, 991, 547, 2161, 267, 552, 3052, 269, 2048, 306, 1460, 8424, 540, 5538, 338, 619, 17483, 2080, 616, 930, 1913, 1031, 547, 4766, 2326, 799, 9660, 616, 1419, 1500, 540, 269, 1452, 1913, 666, 581, 2901, 17205, 610, 21371, 563, 338, 20488, 10412, 6063, 23439, 1351, 706, 5797, 3954, 574, 16463, 15144, 11320, 944, 6352, 647, 27827, 454, 2080, 616, 930, 21371, 1031, 547, 4766, 519, 3270, 593, 2326, 563, 2080, 616, 930, 13450, 2404, 609, 7802, 563, 1700, 1261, 3768, 5962, 1315, 3893, 3768, 5962, 267, 18530, 782, 1010, 9660, 593, 519, 6989, 563, 1700, 2701, 3533, 21039, 519, 1126, 563, 1700, 594, 2648, 19703, 909, 585, 6105, 607, 594, 7363, 5957, 14247, 753, 563, 1700, 2052, 594, 2119, 593, 1346, 15454, 10887, 538, 519, 6885, 888, 1700, 634, 1236, 7398, 568, 1932, 9395, 543, 1932, 2110, 1107, 621, 2115, 15603, 856, 543, 15603, 1524, 563, 1700, 634, 10571, 568, 1932, 10690, 543, 1932, 1279, 1107, 621, 2115, 2921, 538, 543, 2921, 909, 563, 1700, 2701, 3576, 1055, 1200, 10887, 543, 2322, 593, 1200, 1793, 26802, 563, 1700, 1261, 4957, 856, 540, 1010, 15964, 9660, 883, 1010, 7833, 563, 1700, 4414, 2356, 3085, 1406, 9290, 1004, 609, 20909, 4552, 563, 1700, 4173, 3109, 9126, 13292, 1200, 10887, 563, 1700, 8409, 10887, 1810, 1406, 3514, 519, 7911, 1022, 811, 269, 1261, 779, 6738, 856, 540, 873, 563, 2080, 616, 930, 21371, 585, 10503, 1004, 779, 7802, 563, 1700, 1215, 1919, 3514, 281, 9126, 4445, 10690, 9395, 2673, 1922, 9231, 454, 1700, 13910, 281, 1279, 1606, 23932, 1386, 966, 16250, 1188, 5180, 16250, 1188, 454, 1700, 4937, 281, 17715, 5100, 1085, 745, 27918, 669, 545, 7678, 344, 609, 32717, 454, 1700, 2561, 30970, 281, 1134, 1673, 5962, 21354, 1673, 5962, 2025, 1922, 5831, 539, 6752, 762, 0, 763, 13357, 540, 32335, 281, 5758, 267, 2079, 1299, 10530, 13275, 12335, 568, 835, 540, 519, 1034, 4583, 4589, 538, 12335, 781, 13357, 4249, 281, 2609, 1299, 2497, 269, 18140, 2079, 540, 32335, 519, 1970, 31586, 27998, 547, 2367, 543, 2021, 540, 519, 5480, 649, 917, 602, 12335, 519, 1272, 543, 1568, 540, 13275, 12335, 642, 4512, 32335, 269, 1323, 2079, 540, 12335, 781, 1523, 540, 2648, 543, 689, 12335, 781, 2126, 540, 2648, 1299, 7365, 1305, 22290, 32335, 267, 621, 5526, 547, 581, 711, 513, 13357, 540, 269, 4793, 878, 807, 533, 1563, 525, 476, 1321, 628, 3446, 7005, 910, 272, 560, 1974, 632, 4895, 476, 1240, 267, 476, 1220, 280, 519, 1909, 540, 2021, 538, 32335, 538, 32335, 676, 13275, 12335, 267, 519, 1909, 540, 964, 12047, 7431, 267, 900, 23158, 267, 543, 536, 1014, 8619, 9446, 875, 2021, 941, 1282, 519, 476, 1428, 628, 2540, 563, 4537, 6832, 2126, 540, 2079, 540, 32335, 676, 13275, 12335, 513, 5618, 11913, 20451, 538, 968, 6139, 14561, 892, 676, 12335, 538, 519, 13357, 32335, 269, 12834, 540, 968, 6139, 14561, 892, 676, 13275, 12335, 32335, 568, 513, 1404, 602, 27180, 519, 13357, 540, 2648, 543, 11505, 950, 11994, 540, 2021, 543, 2367, 1369, 269, 30777, 568, 513, 13357, 676, 13275, 12335, 519, 9375, 795, 599, 10300, 1470, 6811, 602, 519, 2126, 540, 695, 2643, 1442, 543, 513, 5363, 2565, 2079, 799, 3947, 269, 634, 27867, 2540, 1714, 9626, 534, 20947, 13357, 32335, 7768, 676, 13275, 32335, 7768, 676, 13275, 12335, 729, 540, 2021, 538, 519, 1714, 9626, 534, 563, 8133, 267, 4779, 345, 691, 737, 31818, 2939, 334, 2079, 1557, 32335, 568, 513, 13357, 519, 544, 3233, 540, 9006, 823, 676, 13275, 12335, 519, 1909, 540, 2021, 538, 32335, 676, 13275, 12335, 269, 30777, 2126, 540, 2021, 964, 12047, 7431, 519, 1650, 540, 968, 6139, 14561, 892, 676, 13275, 12335, 3217, 1747, 1282, 519, 3735, 31303, 1266, 331, 476, 27420, 318, 6139, 14561, 2079, 1957, 269, 5261, 12335, 568, 2079, 540, 519, 13357, 32335, 1557, 593, 519, 13249, 2126, 540, 2021, 538, 32335, 910, 519, 13249, 2126, 540, 2021, 538, 32335, 269, 13159, 5758, 540, 13275, 12335, 781, 32335, 10207, 476, 272, 268, 273, 5758, 543, 2079, 621, 814, 1419, 1044, 4330, 607, 513, 13357, 540, 1915, 32335, 781, 563, 2690, 20947, 1996, 22101, 1470, 543, 32335, 267, 12335, 1281, 711, 1459, 1775, 6210, 607, 2348, 513, 2509, 2021, 616, 26742, 9926, 15351, 16292, 24262, 267, 1200, 512, 757, 1360, 1121, 2970, 908, 569, 606, 2079, 540, 2126, 540, 2021, 538, 519, 13357, 32335, 676, 13275, 12335, 269, 22374, 5070, 619, 2488, 513, 2407, 2079, 540, 519, 21849, 1966, 543, 1519, 2021, 799, 568, 9619, 538, 957, 476, 272, 519, 13357, 540, 32335, 267, 13275, 12335, 563, 10403, 1557, 281, 519, 13249, 2126, 540, 2021, 538, 32335, 538, 12335, 781, 12416, 267, 32335, 267, 972, 616, 1082, 1114, 3347, 1851, 519, 1292, 3197, 519, 269, 12726, 1557, 2055, 593, 32335, 476, 272, 6085, 593, 1018, 519, 1404, 5267, 827, 12335, 779, 2070, 540, 13357, 2048, 1492, 2021, 538, 32335, 616, 24808, 269, 634, 4137, 540, 32335, 689, 519, 13249, 1404, 676, 13275, 12335, 814, 7902, 538, 1082, 1806, 540, 476, 1220, 279, 32335, 267, 519, 13357, 540, 32335, 538, 2442, 2528, 281, 563, 18439, 519, 1114, 4798, 1369, 13275, 12335, 781, 13249, 1404, 267, 32335, 4798, 616, 3844, 547, 1620, 32335, 607, 513, 1404, 543, 7114, 695, 6731, 541, 563, 299, 15145, 593, 32335, 910, 1404, 4070, 543, 519, 7092, 543, 2073, 1354, 519, 13357, 568, 936, 267, 12335, 1058, 723, 16309, 538, 2367, 607, 1134, 607, 2021, 269, 1284, 786, 2328, 513, 10464, 1557, 3732, 593, 4008, 1909, 543, 13357, 32335, 538, 519, 2038, 2126, 540, 32335, 4724, 32335, 2079, 13275, 12335, 269, 1306, 322, 574, 639, 1579, 332, 606, 2079, 540, 2126, 540, 2021, 538, 519, 13357, 32335, 676, 13275, 12335, 3318, 1125, 1010, 524, 7342, 11344, 936, 12635, 3134, 15607, 748, 15599, 760, 11517, 1944, 1010, 7199, 2699, 539, 269, 5131, 1557, 281, 519, 13357, 540, 32335, 267, 2854, 676, 13275, 12335, 267, 6799, 519, 1292, 1915, 32335, 267, 607, 513, 2463, 762, 267, 8956, 762, 267, 543, 14064, 1881, 812, 267, 855, 6185, 5877, 0, 293, 517, 272, 14436, 7084, 23988, 454, 1692, 547, 2328, 513, 8086, 1957, 8086, 4574, 1450, 596, 547, 5968, 609, 707, 14357, 827, 875, 513, 1808, 2376, 267, 3992, 267, 11000, 267, 610, 1995, 5546, 269, 10495, 6656, 476, 1556, 281, 519, 2854, 7084, 1107, 519, 14436, 3948, 713, 2875, 1287, 4682, 593, 547, 2328, 513, 14436, 3948, 1759, 593, 713, 7317, 5711, 269, 634, 5856, 2141, 519, 7084, 8846, 1360, 1134, 543, 1775, 6557, 5393, 6126, 609, 741, 3028, 476, 272, 875, 547, 2328, 513, 14436, 1557, 476, 273, 269, 14506, 1957, 4808, 4170, 281, 3040, 707, 1957, 1058, 581, 11643, 2228, 693, 1496, 15062, 547, 19169, 2985, 316, 1991, 547, 707, 14827, 5967, 563, 8269, 3005, 4760, 7084, 20369, 476, 6200, 2012, 281, 795, 14493, 1286, 2651, 8086, 258, 476, 275, 8292, 281, 8799, 960, 516, 1613, 8292, 538, 1957, 2798, 281, 476, 1015, 8086, 2243, 4267, 269, 2657, 2257, 630, 333, 2720, 532, 264, 4879, 4808, 10872, 26885, 538, 1072, 2257, 630, 333, 2720, 532, 264, 9074, 9479, 1299, 2140, 554, 333, 476, 18089, 273, 5748, 540, 8808, 476, 272, 269, 589, 2110, 3391, 547, 14436, 1603, 476, 278, 3932, 8086, 568, 513, 3730, 1184, 1256, 952, 596, 723, 711, 1044, 1305, 513, 1808, 14436, 7084, 269, 13832, 543, 1806, 585, 12032, 540, 2845, 2835, 1299, 14436, 524, 335, 323, 14436, 2259, 6898, 4808, 543, 4808, 1576, 10467, 563, 1103, 513, 14436, 1557, 267, 596, 991, 547, 2769, 707, 4555, 543, 4664, 827, 1978, 2621, 610, 9259, 1603, 713, 1826, 540, 1557, 2488, 4396, 2866, 547, 32260, 269, 14506, 1957, 4808, 1142, 2875, 270, 16766, 13752, 513, 1788, 9886, 1590, 10505, 513, 2110, 8086, 1957, 1369, 1614, 4374, 540, 12032, 540, 519, 2534, 24579, 915, 563, 16240, 513, 8086, 1957, 1946, 14436, 1603, 607, 609, 782, 2854, 10467, 610, 5359, 267, 621, 568, 1271, 547, 723, 513, 2312, 1445, 585, 707, 1603, 269, 3807, 607, 519, 2012, 10522, 267, 519, 8086, 1957, 568, 513, 4960, 585, 596, 547, 2490, 27808, 543, 2992, 2390, 519, 4843, 1570, 8086, 1957, 4808, 269, 14484, 633, 1603, 568, 513, 1826, 540, 4879, 596, 786, 2328, 513, 1454, 1732, 14436, 7084, 950, 596, 723, 707, 4967, 547, 960, 689, 2864, 982, 3843, 547, 563, 25938, 1640, 1698, 7723, 2887, 476, 1220, 278, 1367, 7084, 281, 14436, 4760, 1018, 568, 513, 4760, 707, 4760, 1058, 581, 513, 14436, 3561, 602, 2488, 2123, 269, 661, 24487, 8086, 1557, 7084, 1383, 713, 2110, 1557, 7084, 568, 2147, 547, 519, 1257, 2079, 7084, 267, 855, 15320, 689, 621, 538, 602, 972, 616, 1152, 2185, 269, 13891, 4361, 532, 1310, 11191, 281, 4808, 585, 12200, 3181, 4361, 532, 1310, 11191, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 1565, 547, 2328, 269, 3689, 568, 602, 519, 1126, 1058, 1451, 547, 723, 17945, 593, 519, 15513, 269, 898, 568, 711, 15695, 547, 1118, 519, 1126, 2328, 693, 606, 2038, 2085, 269, 2991, 476, 272, 269, 276, 268, 273, 1296, 540, 2085, 267, 1376, 609, 22916, 976, 543, 4778, 269, 7994, 519, 5394, 4778, 630, 322, 2001, 976, 5631, 264, 630, 628, 1157, 22916, 976, 616, 4443, 547, 17945, 1070, 543, 1175, 1577, 519, 1126, 31163, 1076, 267, 585, 2395, 267, 585, 4374, 269, 4495, 596, 1745, 602, 1126, 568, 31163, 17331, 6707, 543, 568, 2025, 2614, 547, 1847, 593, 2507, 596, 723, 547, 1376, 609, 7555, 3515, 543, 12008, 3515, 269, 1809, 596, 1810, 1406, 723, 547, 4001, 519, 1126, 269, 2755, 31163, 17331, 267, 1175, 27642, 547, 1404, 267, 2307, 1864, 267, 2048, 4754, 596, 2721, 513, 2786, 1899, 27085, 594, 666, 685, 543, 2721, 3054, 269, 8866, 899, 2591, 282, 3314, 27085, 1261, 1932, 786, 2119, 547, 2721, 269, 8844, 1900, 8797, 269, 4495, 596, 1745, 646, 568, 2111, 547, 1118, 2786, 3515, 267, 1847, 593, 547, 14258, 269, 1280, 14258, 267, 7620, 596, 1522, 723, 547, 3180, 741, 3946, 543, 1118, 873, 2328, 267, 610, 2721, 15956, 585, 873, 547, 10250, 269, 1411, 666, 3343, 519, 948, 540, 5616, 543, 13334, 547, 917, 519, 2010, 540, 3270, 269, 1809, 621, 568, 1732, 547, 1118, 873, 2721, 3270, 538, 2835, 269, 1703, 616, 2835, 1141, 519, 1126, 814, 547, 6445, 519, 2898, 2985, 609, 835, 1826, 540, 4806, 269, 1403, 707, 1126, 1281, 602, 25747, 267, 1360, 1434, 267, 855, 2356, 3214, 1265, 621, 19309, 269, 8347, 547, 1265, 519, 2835, 1141, 519, 1126, 814, 547, 6443, 519, 15956, 547, 2347, 513, 4605, 269, 5753, 1491, 811, 1719, 538, 873, 269, 594, 993, 1140, 2286, 1906, 5961, 585, 4704, 563, 18744, 950, 519, 1126, 6487, 875, 547, 3180, 519, 15513, 543, 814, 519, 2838, 2095, 267, 1847, 547, 519, 1603, 540, 26897, 543, 2338, 563, 5575, 267, 2285, 873, 25879, 270, 5658, 518, 543, 1118, 873, 2328, 593, 4604, 269, 5675, 8273, 568, 4443, 982, 1603, 4130, 563, 2026, 596, 1847, 593, 547, 31940, 267, 1101, 1577, 873, 2328, 1510, 519, 9993, 540, 7516, 269, 1684, 711, 12622, 873, 538, 1063, 519, 3515, 269, 2913, 873, 1101, 1174, 519, 1818, 540, 519, 26897, 543, 2338, 269, 29130, 519, 1523, 540, 7516, 2663, 563, 16240, 1325, 874, 24878, 543, 10606, 454, 2026, 594, 5143, 602, 519, 2835, 1141, 519, 1126, 814, 547, 2328, 1482, 3364, 476, 736, 2053, 593, 513, 2985, 616, 19309, 267, 2119, 1945, 3116, 563, 7069, 8250, 1705, 711, 899, 1603, 267, 1352, 1336, 621, 19309, 269, 1924, 3079, 540, 6998, 1200, 547, 2328, 835, 2582, 9904, 14578, 267, 594, 3323, 6998, 1200, 547, 2328, 1200, 2012, 269, 634, 2219, 540, 1603, 1200, 2012, 4278, 2683, 1200, 543, 1352, 729, 4712, 269, 4595, 519, 1126, 1281, 711, 917, 267, 646, 786, 2307, 596, 2048, 6518, 9904, 798, 594, 723, 547, 2328, 8730, 2048, 6011, 568, 621, 2854, 8730, 543, 1287, 568, 707, 4960, 540, 3450, 1864, 269, 15681, 1864, 267, 543, 646, 786, 3314, 713, 835, 942, 811, 982, 519, 7142, 476, 736, 2053, 269, 1261, 1522, 7340, 519, 1985, 1554, 543, 2307, 596, 1586, 267, 855, 621, 1869, 568, 811, 2500, 1317, 646, 786, 581, 3843, 547, 1451, 621, 811, 23362, 269, 2991, 1818, 1200, 2328, 1200, 2012, 585, 476, 273, 268, 274, 2395, 267, 594, 4280, 1200, 952, 1352, 666, 2328, 1200, 3993, 779, 2012, 630, 330, 1749, 899, 2591, 1040, 2991, 2072, 267, 594, 5143, 1200, 2048, 2280, 779, 2328, 2048, 23950, 15967, 685, 543, 1397, 621, 547, 1200, 267, 1352, 786, 581, 865, 6126, 9957, 2701, 5206, 602, 1932, 543, 10443, 547, 1397, 621, 547, 1200, 1989, 15967, 269, 1924, 267, 2119, 1114, 4408, 543, 1585, 3615, 685, 4408, 563, 15575, 543, 3503, 454, 21156, 540, 6998, 1200, 547, 2328, 513, 1297, 14578, 267, 594, 1118, 1200, 1293, 543, 2328, 269, 594, 2721, 3615, 538, 21641, 543, 2307, 1200, 547, 1293, 543, 2328, 269, 901, 568, 1447, 19309, 269, 1656, 596, 666, 2141, 946, 2835, 849, 563, 5629, 519, 1126, 4991, 519, 2596, 2856, 540, 26897, 543, 2338, 267, 596, 666, 2119, 4730, 713, 3014, 585, 519, 15699, 269, 3503, 26897, 609, 707, 9416, 593, 1010, 1394, 267, 610, 538, 2011, 267, 543, 2307, 1864, 547, 2697, 519, 9904, 610, 1297, 269, 1306, 646, 9428, 909, 267, 596, 666, 849, 2328, 1913, 3617, 547, 1010, 2085, 563, 7712, 621, 568, 513, 3014, 267, 2285, 1864, 1010, 2490, 543, 1577, 1864, 2328, 585, 596, 547, 2697, 269, 674, 841, 17543, 3006, 269, 8866, 2648, 1346, 3756, 538, 799, 789, 3094, 563, 13014, 519, 2407, 946, 540, 3860, 2835, 602, 616, 2139, 538, 519, 2344, 891, 2395, 269, 769, 2835, 267, 972, 616, 2238, 602, 2154, 1603, 540, 26897, 543, 2338, 269, 8866, 2356, 2972, 873, 269, 769, 1249, 267, 950, 1250, 4819, 11339, 538, 891, 2835, 267, 1352, 1281, 711, 1293, 713, 607, 4974, 269, 2701, 7125, 621, 2238, 563, 14399, 1360, 4122, 1205, 11821, 609, 1906, 26897, 543, 1118, 741, 11604, 2592, 267, 899, 595, 267, 667, 267, 674, 3092, 269, 1280, 713, 267, 2953, 1169, 942, 789, 2328, 621, 4636, 630, 31673, 7019, 540, 1576, 1040, 4746, 267, 596, 666, 13594, 8755, 6486, 540, 891, 1880, 26897, 538, 1010, 4055, 269, 1261, 786, 581, 630, 684, 842, 1549, 958, 264, 3168, 693, 873, 1896, 2053, 543, 713, 786, 948, 1864, 2348, 519, 2953, 791, 29251, 538, 1010, 2247, 563, 8855, 267, 713, 782, 568, 711, 8345, 538, 835, 1554, 269, 723, 9639, 543, 3619, 3500, 563, 296, 1175, 7691, 602, 519, 2022, 568, 2907, 1360, 1279, 269, 594, 917, 602, 1256, 649, 3237, 798, 711, 899, 4974, 543, 865, 2542, 513, 1360, 1279, 2022, 1131, 581, 19309, 585, 596, 269, 594, 993, 1869, 2451, 609, 513, 1906, 1919, 602, 594, 1616, 547, 2671, 609, 596, 782, 3237, 267, 855, 594, 3580, 2328, 873, 538, 519, 2034, 851, 540, 2048, 1692, 547, 17546, 9957, 630, 10000, 11845, 281, 476, 273, 526, 851, 814, 1044, 23345, 994, 3080, 2101, 2601, 540, 3214, 685, 771, 15517, 568, 602, 789, 798, 711, 917, 1603, 5265, 269, 4495, 789, 917, 875, 547, 2328, 267, 789, 1831, 811, 6899, 609, 2090, 543, 786, 3247, 9319, 621, 269, 901, 568, 1250, 2123, 1995, 269, 769, 1250, 2063, 2022, 267, 594, 5018, 602, 1250, 4816, 554, 919, 1603, 267, 855, 2965, 602, 729, 1317, 1352, 1705, 711, 917, 513, 1906, 2338, 269, 769, 2063, 835, 3018, 267, 1352, 814, 19927, 543, 3976, 1352, 568, 711, 607, 26997, 607, 1354, 269, 769, 1249, 1631, 1352, 21593, 519, 2631, 540, 9740, 950, 1352, 6707, 26088, 1200, 960, 563, 8450, 596, 1586, 4166, 563, 2252, 596, 1336, 713, 2376, 3730, 267, 543, 1616, 547, 1294, 782, 891, 2093, 543, 1082, 811, 2093, 538, 7044, 1106, 267, 5225, 1246, 519, 9365, 8525, 547, 3251, 4448, 543, 581, 711, 1881, 540, 811, 3730, 4930, 538, 2104, 269, 594, 798, 891, 2238, 543, 811, 4277, 2238, 609, 1250, 8250, 543, 2022, 519, 7044, 593, 713, 2985, 267, 865, 798, 711, 7340, 547, 899, 11721, 4772, 519, 2985, 563, 8923, 1921, 593, 17749, 547, 723, 3232, 10311, 540, 1554, 3562, 6377, 2238, 543, 2656, 4388, 269, 0, 763, 4972, 585, 4065, 630, 291, 325, 292, 264, 543, 2986, 23974, 723, 9672, 519, 12417, 585, 4832, 476, 1708, 273, 23722, 267, 6789, 543, 589, 7400, 11400, 454, 2750, 600, 12545, 786, 1683, 4359, 1344, 827, 519, 1445, 540, 11400, 585, 782, 23722, 1299, 589, 5426, 11400, 676, 476, 278, 628, 5988, 476, 1708, 273, 563, 763, 1152, 17756, 547, 713, 616, 912, 1892, 23722, 2296, 9085, 454, 1892, 23722, 3778, 454, 1892, 23722, 17323, 454, 1103, 891, 5396, 267, 3506, 616, 1373, 2016, 930, 3903, 827, 519, 3584, 610, 1543, 602, 1053, 786, 581, 12290, 593, 630, 641, 5406, 1275, 1916, 294, 17698, 2296, 9085, 630, 288, 304, 288, 994, 1892, 634, 8366, 532, 1560, 616, 4227, 519, 2838, 1641, 1543, 269, 2353, 1053, 786, 581, 12290, 593, 513, 9956, 1404, 630, 26261, 476, 273, 1070, 855, 519, 1543, 12290, 538, 7433, 476, 272, 786, 1152, 3382, 1079, 2127, 267, 3079, 540, 1614, 630, 28205, 786, 581, 6074, 676, 3610, 1916, 1892, 634, 2698, 981, 7436, 2139, 786, 2887, 689, 476, 8182, 547, 476, 9873, 563, 1892, 634, 2698, 981, 942, 585, 23722, 2296, 9085, 786, 849, 2887, 689, 476, 275, 3108, 547, 476, 274, 3108, 543, 476, 1839, 3764, 269, 901, 568, 1317, 1053, 786, 1152, 2626, 1079, 540, 519, 1614, 2127, 6045, 1657, 563, 1892, 1703, 786, 581, 1100, 824, 4359, 1344, 593, 1018, 11400, 786, 3382, 585, 23722, 2296, 9085, 563, 294, 17698, 3778, 630, 8016, 305, 808, 30329, 910, 3427, 3778, 5741, 994, 10743, 538, 4832, 476, 1708, 273, 786, 711, 723, 547, 1353, 519, 2407, 1576, 543, 786, 711, 581, 12290, 593, 782, 519, 1543, 912, 1892, 2353, 1053, 786, 991, 547, 1353, 543, 786, 581, 12290, 593, 519, 3703, 3493, 628, 5530, 563, 1892, 4841, 786, 1353, 543, 581, 12290, 593, 1614, 856, 540, 519, 2185, 6967, 2090, 281, 634, 15122, 5530, 267, 3778, 15907, 2974, 267, 519, 11270, 5530, 543, 519, 2622, 3493, 628, 5530, 269, 11334, 786, 3442, 799, 1614, 540, 891, 2090, 1053, 786, 581, 9411, 585, 563, 1892, 3962, 981, 1957, 786, 581, 12290, 1369, 922, 1378, 4626, 564, 12574, 18921, 563, 294, 17698, 17323, 630, 288, 304, 288, 994, 13528, 27909, 9212, 786, 581, 2016, 538, 23722, 13174, 543, 513, 15428, 3830, 6656, 538, 23722, 8212, 543, 23722, 10395, 1441, 3163, 8720, 782, 519, 4834, 2838, 538, 519, 1641, 1543, 269, 1452, 786, 581, 1500, 2139, 711, 1152, 538, 11400, 855, 25656, 267, 865, 1053, 543, 3610, 666, 5432, 1047, 2933, 609, 873, 563, 2467, 786, 581, 2242, 547, 519, 4052, 960, 4170, 585, 930, 5396, 912, 1892, 23722, 543, 589, 7400, 3203, 543, 5071, 1107, 1053, 786, 1152, 581, 12290, 593, 741, 14769, 630, 11004, 786, 581, 1100, 981, 1916, 1892, 23722, 10334, 267, 11061, 267, 8212, 543, 10395, 1441, 3163, 1107, 3610, 666, 5838, 4052, 2257, 960, 676, 17431, 563, 294, 17698, 5071, 543, 5303, 630, 8016, 305, 994, 10743, 786, 711, 723, 547, 1118, 3803, 30384, 585, 741, 1875, 7721, 600, 1441, 4879, 630, 301, 12788, 1040, 1717, 267, 1053, 786, 1869, 991, 547, 6542, 741, 946, 540, 12227, 267, 2645, 543, 3157, 563, 294, 17698, 17323, 630, 288, 304, 288, 994, 1892, 4841, 4465, 1406, 991, 547, 2347, 1079, 14026, 540, 2361, 1740, 585, 741, 981, 563, 1892, 4841, 4465, 1406, 991, 547, 2626, 2055, 11341, 547, 741, 1378, 2361, 1740, 1995, 1317, 2243, 476, 276, 786, 581, 6569, 689, 476, 3199, 274, 276, 270, 274, 7433, 476, 274, 281, 2983, 7240, 3156, 563, 1892, 9182, 267, 476, 3199, 274, 276, 270, 274, 7433, 476, 274, 281, 2983, 7240, 3156, 786, 2569, 689, 476, 10602, 7436, 547, 476, 6321, 7436, 630, 320, 8851, 540, 476, 736, 7436, 7923, 547, 5432, 2361, 1740, 2055, 1916, 1892, 1703, 616, 1614, 9501, 320, 294, 7436, 538, 2243, 476, 276, 543, 891, 786, 581, 6410, 547, 835, 540, 519, 476, 277, 1665, 2055, 1369, 8791, 589, 630, 22568, 6268, 264, 865, 602, 1053, 666, 1869, 1569, 891, 7436, 563, 1892, 634, 2698, 942, 14305, 585, 519, 476, 3199, 274, 276, 270, 274, 1957, 786, 2569, 689, 476, 272, 5662, 476, 1428, 3764, 547, 476, 272, 5662, 563, 294, 17698, 9012, 5525, 630, 310, 297, 4488, 994, 1892, 5149, 476, 273, 281, 4197, 7641, 543, 17912, 630, 24309, 11929, 264, 476, 1789, 260, 910, 4841, 786, 3442, 547, 1353, 2901, 8791, 589, 281, 12986, 593, 27657, 610, 8791, 645, 281, 12634, 21035, 17912, 269, 22996, 2347, 2901, 8791, 589, 610, 8791, 645, 540, 519, 5149, 476, 273, 981, 563, 294, 17698, 3943, 630, 292, 1372, 343, 4897, 18025, 792, 5459, 994, 763, 1344, 2630, 568, 3144, 689, 519, 29583, 16896, 267, 855, 10039, 585, 782, 631, 14566, 23722, 20340, 454, 1892, 8178, 906, 786, 711, 946, 6863, 602, 568, 711, 593, 519, 6863, 8638, 563, 1892, 4841, 1058, 5965, 585, 9275, 1893, 538, 476, 1708, 273, 547, 581, 12290, 538, 519, 3339, 1259, 267, 998, 6101, 6340, 4255, 563, 294, 17698, 8535, 630, 8016, 305, 808, 276, 3607, 994, 8170, 23974, 723, 9672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1015, 281, 634, 3203, 540, 13488, 532, 8752, 281, 12708, 717, 792, 585, 9335, 7353, 20802, 692, 2026, 8265, 21706, 267, 649, 1174, 519, 2956, 540, 13830, 1272, 781, 7904, 7566, 8090, 31380, 543, 796, 984, 339, 6350, 1947, 269, 3776, 8254, 10591, 1058, 2760, 9260, 721, 1524, 610, 16297, 721, 689, 713, 5692, 269, 769, 1249, 267, 1082, 12913, 8265, 21706, 12167, 585, 8766, 1143, 950, 621, 2501, 547, 8939, 3937, 269, 1924, 267, 1577, 781, 2263, 875, 547, 1225, 622, 707, 10344, 6539, 4111, 1836, 1247, 4509, 1164, 3860, 4441, 780, 296, 269, 31396, 645, 3672, 281, 3397, 1006, 3683, 21418, 17972, 692, 763, 3903, 1063, 32588, 543, 21208, 517, 1419, 31168, 12699, 9840, 1851, 21706, 269, 12846, 267, 811, 2565, 982, 6216, 14017, 568, 4466, 513, 1560, 602, 21356, 10342, 609, 2823, 1464, 269, 1280, 3236, 267, 11604, 1652, 12514, 899, 590, 3415, 589, 278, 8633, 610, 17540, 329, 604, 559, 332, 2473, 6874, 275, 2709, 5140, 3239, 2298, 1510, 4439, 5652, 9804, 2070, 22772, 619, 269, 1358, 849, 30107, 5488, 1313, 1993, 1371, 1949, 910, 4998, 585, 13830, 6596, 15833, 538, 6422, 5054, 780, 2862, 269, 700, 5151, 281, 10866, 5288, 10829, 640, 692, 288, 11684, 6305, 7828, 971, 607, 476, 3374, 7825, 535, 270, 273, 610, 476, 2004, 7825, 535, 270, 272, 269, 279, 1223, 4196, 607, 707, 960, 1817, 572, 585, 1585, 3871, 269, 1452, 11741, 22136, 5838, 8325, 2592, 543, 10694, 1630, 651, 327, 267, 7175, 596, 547, 1936, 622, 8903, 2984, 998, 3308, 1893, 269, 5047, 267, 789, 5000, 5876, 676, 16550, 596, 547, 1847, 1472, 9308, 2864, 982, 13461, 593, 24680, 3252, 269, 5457, 267, 7687, 6536, 5647, 2439, 7656, 269, 645, 4711, 1299, 27418, 281, 10466, 2725, 1115, 1290, 3228, 692, 20059, 538, 513, 6899, 9126, 2966, 4481, 585, 8666, 10591, 282, 6733, 585, 2934, 899, 14950, 4765, 735, 25902, 267, 28890, 2326, 267, 543, 23908, 21978, 2269, 1186, 269, 4858, 2738, 899, 30078, 5071, 267, 14210, 9346, 267, 543, 6056, 26653, 17421, 8597, 12799, 547, 21706, 262, 2115, 269, 4746, 267, 2015, 1210, 24386, 18695, 1369, 707, 1292, 561, 10212, 720, 547, 5094, 17866, 3688, 543, 1832, 3388, 6896, 1282, 18302, 780, 4353, 269, 5295, 10298, 281, 13773, 932, 20149, 2201, 7308, 268, 7883, 692, 10111, 11538, 3063, 9075, 543, 5056, 619, 568, 2629, 950, 1379, 19093, 5749, 1405, 11593, 2139, 269, 5800, 762, 12123, 3435, 899, 1323, 12027, 5295, 290, 648, 266, 610, 2098, 11085, 5295, 303, 871, 1683, 19307, 1379, 585, 2789, 3457, 8195, 269, 3958, 267, 3859, 14617, 3681, 899, 25779, 20023, 32633, 611, 476, 278, 9578, 2327, 6024, 1648, 3761, 1256, 538, 6552, 6753, 780, 309, 269, 5403, 268, 3682, 22422, 13088, 281, 31514, 2659, 17496, 32693, 958, 692, 4407, 11049, 3301, 3884, 1405, 14553, 2808, 1412, 613, 541, 10086, 2645, 899, 23489, 8752, 3336, 16671, 610, 12650, 675, 2290, 1160, 1404, 1713, 5107, 538, 5935, 707, 3803, 3977, 269, 9457, 1898, 2553, 899, 2681, 21249, 267, 5186, 6137, 267, 543, 1427, 537, 4221, 547, 21592, 707, 6151, 6119, 883, 25509, 11147, 269, 5015, 267, 1565, 547, 946, 5985, 8924, 3927, 21810, 16389, 883, 15409, 4158, 7741, 267, 3850, 2656, 1196, 1080, 679, 8905, 547, 707, 1985, 10278, 780, 9654, 269, 6732, 18877, 1299, 4804, 15107, 13257, 281, 23120, 12618, 692, 21010, 532, 609, 8284, 12439, 2228, 2488, 6667, 267, 5955, 267, 543, 13033, 3255, 269, 10812, 5867, 899, 17749, 267, 674, 5585, 337, 267, 543, 476, 4335, 29210, 585, 4687, 707, 960, 543, 2502, 609, 1866, 269, 30027, 3585, 267, 20401, 532, 547, 3872, 9055, 899, 11682, 4041, 27073, 267, 22398, 2421, 3080, 267, 610, 11300, 299, 633, 10597, 707, 1983, 564, 998, 18862, 267, 11925, 267, 543, 3297, 7308, 27214, 25333, 4030, 780, 8855, 267, 14237, 513, 29765, 1935, 2509, 8265, 10344, 28382, 596, 609, 1312, 2168, 22026, 543, 2790, 9355, 2556, 585, 9159, 11052, 269, 1635, 5402, 7446, 707, 10591, 1759, 593, 16566, 543, 3483, 267, 596, 1450, 3054, 547, 1445, 811, 703, 2954, 593, 519, 2479, 19145, 1158, 11200, 532, 1354, 707, 4064, 269, 8414, 15246, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2419, 4474, 543, 7508, 19426, 267, 4881, 547, 6952, 21772, 610, 19482, 10239, 568, 851, 540, 1022, 4190, 7552, 1650, 269, 1809, 1018, 666, 649, 798, 950, 649, 723, 693, 2547, 476, 276, 737, 3342, 538, 938, 30618, 543, 649, 991, 782, 540, 621, 286, 1411, 1522, 2907, 917, 1018, 594, 993, 6158, 827, 269, 901, 568, 938, 670, 5357, 312, 10344, 10591, 269, 1284, 666, 1406, 1118, 8332, 2478, 269, 1284, 991, 547, 1491, 621, 782, 609, 721, 269, 5272, 942, 594, 729, 10707, 267, 594, 8694, 909, 609, 513, 15319, 1394, 543, 7916, 630, 663, 4440, 594, 729, 711, 4805, 1070, 2394, 519, 1554, 594, 4956, 547, 1118, 930, 2242, 563, 1607, 2376, 1522, 581, 585, 596, 952, 912, 268, 596, 616, 513, 13730, 2951, 23031, 454, 268, 596, 1616, 547, 1205, 5432, 609, 1250, 2123, 10344, 10591, 454, 268, 596, 1616, 547, 917, 519, 7744, 1946, 594, 8359, 1978, 3937, 454, 4131, 779, 1376, 609, 519, 1034, 1455, 2243, 1851, 21706, 7498, 4692, 517, 610, 21208, 517, 888, 10376, 23031, 814, 741, 13283, 269, 594, 993, 711, 2469, 547, 7521, 1934, 519, 3604, 269, 594, 4076, 2141, 1031, 519, 32588, 3937, 267, 2094, 519, 1360, 4098, 540, 1250, 7045, 609, 10344, 543, 594, 2463, 519, 3283, 945, 8359, 21208, 517, 269, 1717, 267, 538, 1250, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 22878, 1315, 9335, 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, 3848, 7170, 281, 28527, 6361, 5025, 613, 17992, 725, 281, 29460, 513, 21518, 342, 6504, 692, 5970, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 547, 10393, 2981, 883, 1945, 3116, 286, 1677, 1995, 1272, 538, 513, 4625, 1114, 1259, 286, 2334, 781, 4010, 1018, 4523, 547, 3197, 538, 11174, 5708, 2984, 827, 941, 342, 11510, 543, 6442, 1562, 256, 1452, 8941, 1246, 12703, 8695, 543, 6690, 945, 10929, 6909, 2242, 607, 789, 1332, 909, 1107, 1312, 9308, 543, 14156, 269, 2913, 781, 4685, 883, 713, 13858, 1158, 1927, 2439, 1262, 4089, 476, 272, 281, 1548, 1281, 621, 1611, 547, 1831, 513, 941, 342, 6504, 15140, 1103, 891, 9159, 2984, 267, 4742, 513, 941, 342, 6504, 2356, 19752, 3395, 909, 543, 1565, 875, 547, 6330, 1079, 3982, 10600, 269, 2311, 1101, 267, 519, 1915, 1522, 6560, 609, 741, 1007, 7060, 543, 3961, 269, 1809, 5555, 267, 789, 1265, 3666, 1063, 1373, 1480, 543, 1373, 513, 13442, 540, 519, 3781, 780, 5331, 24971, 909, 835, 1554, 1152, 547, 3605, 602, 707, 1560, 814, 4957, 16074, 256, 1411, 1631, 723, 15398, 12823, 267, 8325, 4522, 267, 543, 32356, 269, 16319, 17559, 267, 1318, 286, 4270, 267, 4952, 2348, 547, 12404, 713, 5728, 689, 3025, 1472, 596, 1932, 269, 898, 666, 581, 3833, 513, 4161, 2439, 7078, 281, 2290, 2442, 1433, 3126, 10023, 4947, 6361, 21943, 7004, 568, 834, 763, 654, 11510, 540, 8585, 1097, 22484, 257, 676, 7395, 27932, 853, 3971, 341, 831, 269, 769, 713, 1650, 267, 24553, 25395, 1200, 4276, 547, 513, 3640, 540, 941, 342, 11510, 2713, 7404, 267, 3056, 547, 606, 9058, 3460, 4904, 609, 1582, 22523, 543, 7045, 780, 1262, 4089, 476, 273, 281, 16508, 2208, 1282, 7004, 4373, 2026, 938, 23233, 4308, 609, 741, 2168, 23009, 2670, 267, 789, 849, 3068, 3929, 2591, 269, 1358, 1590, 13720, 12194, 267, 1106, 17052, 267, 543, 3006, 1256, 6370, 14763, 269, 3414, 891, 2833, 267, 789, 1020, 6043, 543, 6418, 4222, 780, 2690, 3236, 267, 950, 5185, 609, 14488, 267, 789, 949, 1205, 14220, 610, 21616, 7620, 269, 1717, 267, 936, 942, 267, 789, 1451, 547, 1852, 741, 4664, 1732, 543, 4431, 811, 24617, 547, 3871, 269, 1635, 3257, 865, 267, 789, 6542, 7415, 2123, 2208, 2429, 519, 1650, 780, 12244, 281, 6056, 827, 513, 942, 950, 596, 1185, 547, 7753, 513, 2352, 3510, 269, 1215, 1705, 596, 1745, 693, 1101, 286, 1548, 5280, 596, 11883, 543, 6038, 17636, 286, 9523, 707, 4555, 609, 513, 7649, 610, 1507, 1895, 780, 1262, 4089, 476, 274, 281, 10289, 4798, 540, 10343, 543, 10362, 4373, 6624, 540, 891, 2984, 5490, 2620, 883, 4798, 540, 10343, 543, 10362, 269, 3776, 12325, 1419, 20920, 609, 4743, 856, 4751, 1813, 547, 741, 2189, 2783, 269, 8616, 267, 998, 8508, 741, 3020, 2470, 267, 789, 2097, 547, 3398, 2933, 543, 7118, 2463, 689, 1866, 2059, 519, 1259, 780, 4322, 6386, 7618, 721, 602, 621, 781, 1898, 547, 5660, 6000, 543, 5431, 938, 4502, 267, 5103, 1022, 3604, 649, 949, 723, 3379, 547, 1346, 1472, 721, 269, 2991, 782, 267, 3884, 1405, 621, 938, 28031, 802, 543, 15116, 885, 602, 1118, 1142, 540, 721, 2027, 2496, 7078, 281, 589, 1390, 1383, 540, 713, 6249, 666, 581, 1336, 538, 834, 4537, 1853, 2437, 1776, 3209, 676, 7395, 27932, 853, 3971, 341, 831, 269, 5019, 6782, 626, 6341, 9620, 609, 1010, 18896, 880, 2427, 1247, 3843, 547, 2226, 3347, 609, 3425, 269, 11086, 267, 646, 9060, 10343, 1851, 2828, 945, 1871, 1864, 585, 945, 646, 5963, 568, 780, 3528, 3695, 519, 4241, 1158, 540, 4947, 6361, 21943, 14759, 1369, 11174, 5708, 267, 649, 7832, 593, 606, 17938, 1791, 908, 3460, 7258, 11541, 3197, 21679, 609, 26832, 1689, 269, 1306, 3988, 267, 649, 2744, 3407, 4030, 883, 519, 1950, 1184, 540, 3395, 909, 543, 4466, 835, 781, 1747, 538, 519, 1158, 1107, 2436, 602, 1158, 2882, 941, 342, 11510, 610, 711, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 24110, 476, 277, 268, 1321, 454, 268, 3427, 24285, 454, 9213, 281, 12736, 513, 1269, 7742, 853, 320, 1255, 717, 3424, 9315, 9462, 492, 479, 563, 2004, 266, 16520, 2637, 637, 543, 4427, 2102, 637, 5272, 9906, 9701, 5700, 454, 3383, 1082, 11964, 267, 865, 2370, 942, 547, 1224, 873, 782, 7498, 5629, 3214, 1451, 547, 1224, 267, 789, 12260, 513, 1360, 3638, 1158, 540, 2835, 543, 824, 12591, 547, 2263, 269, 901, 1592, 540, 5339, 11964, 543, 24848, 637, 3091, 8847, 543, 1806, 585, 513, 2647, 5044, 540, 1603, 6163, 269, 11559, 1053, 547, 2263, 873, 782, 2336, 1432, 616, 5339, 11964, 888, 13126, 281, 634, 932, 1779, 4580, 1133, 545, 1941, 454, 288, 9135, 630, 313, 11190, 295, 301, 268, 745, 327, 264, 568, 513, 7121, 540, 3332, 538, 799, 519, 1585, 1568, 2671, 1978, 4162, 269, 1284, 1419, 2736, 1603, 883, 2185, 1292, 5339, 11964, 281, 5708, 267, 15923, 267, 6965, 267, 543, 12416, 269, 630, 5278, 1004, 2015, 5708, 543, 15923, 547, 581, 835, 7121, 1572, 18340, 8094, 10376, 540, 519, 5339, 11964, 814, 922, 1378, 1305, 540, 24848, 637, 269, 1703, 779, 1100, 17046, 1592, 540, 5339, 24848, 637, 267, 543, 4589, 5781, 6427, 1007, 6163, 269, 1280, 938, 1592, 267, 649, 4076, 6074, 1455, 5339, 11964, 543, 24848, 637, 602, 1053, 1058, 1059, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 4040, 6361, 5025, 613, 17992, 725, 257, 607, 851, 540, 834, 16300, 16337, 1315, 21518, 342, 11510, 1299, 1744, 604, 1562, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 8004, 3957, 589, 22781, 945, 5030, 538, 513, 18241, 4884, 1572, 24442, 6807, 269, 5272, 1032 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 5137, 1184, 267, 596, 786, 1451, 3407, 2553, 585, 12180, 707, 1378, 24913, 543, 7393, 7607, 780, 6524, 11362, 883, 1808, 942, 2359, 2994, 267, 621, 568, 1271, 1101, 547, 1174, 1946, 891, 1983, 616, 4105, 585, 2852, 1053, 269, 13229, 942, 2359, 2636, 596, 547, 1384, 272, 269, 18696, 2789, 19647, 281, 4236, 31227, 17440, 267, 29599, 2238, 267, 1514, 1272, 267, 543, 2123, 1134, 5630, 3340, 6297, 4058, 543, 3919, 269, 6153, 942, 2359, 6087, 596, 547, 21138, 6190, 942, 547, 782, 3344, 540, 707, 2852, 1995, 1510, 10714, 532, 1022, 1858, 563, 273, 269, 21079, 2566, 281, 3683, 342, 3559, 4364, 676, 3138, 4040, 21852, 543, 7050, 24913, 338, 267, 1082, 1053, 7985, 689, 1164, 2157, 540, 4160, 269, 20074, 3608, 942, 2359, 2853, 6971, 2566, 543, 2337, 1711, 513, 811, 7059, 543, 11791, 4081, 3460, 563, 274, 269, 13724, 1445, 543, 5834, 281, 2353, 20814, 6131, 7161, 540, 942, 585, 4974, 24024, 19240, 543, 14443, 687, 267, 3850, 596, 547, 23365, 3054, 4628, 538, 707, 4247, 543, 10110, 1344, 811, 3927, 563, 275, 269, 28389, 2773, 281, 19737, 707, 942, 20617, 5849, 602, 596, 2347, 10467, 8499, 543, 10505, 873, 1354, 741, 1813, 7389, 269, 901, 2259, 4679, 519, 10171, 540, 8391, 1732, 9344, 543, 3384, 513, 2178, 10639, 1851, 12200, 2818, 563, 276, 269, 3763, 1582, 16162, 23002, 281, 1520, 17518, 547, 16131, 543, 5870, 21852, 1128, 1571, 513, 2631, 540, 5539, 543, 12477, 267, 5807, 1434, 6208, 602, 8831, 3564, 2852, 883, 3318, 543, 2123, 21384, 563, 277, 269, 23340, 5876, 543, 5647, 281, 31478, 569, 5883, 707, 8430, 1954, 525, 909, 2790, 2230, 543, 1648, 267, 7175, 596, 547, 1589, 21176, 827, 1950, 2042, 543, 5352, 5499, 3435, 563, 278, 269, 32754, 1279, 3856, 3804, 4259, 281, 2060, 1697, 942, 2359, 267, 596, 666, 1305, 24276, 2110, 3856, 3853, 602, 3565, 547, 1279, 3856, 17050, 267, 971, 607, 4271, 908, 609, 26549, 610, 17516, 513, 524, 913, 1540, 22631, 1222, 2990, 780, 3086, 602, 649, 723, 3964, 519, 2956, 540, 942, 2359, 1577, 721, 5659, 519, 10566, 19616, 13186, 1867, 547, 2697, 4052, 2994, 585, 17306, 707, 1353, 6296, 780, 1262, 25618, 344, 476, 272, 281, 26875, 1436, 4373, 763, 10566, 19616, 13186, 1867, 3238, 3875, 3906, 543, 2043, 23712, 547, 3132, 513, 23887, 3561, 269, 1677, 2327, 4398, 267, 5171, 2693, 2877, 547, 3715, 14422, 1759, 593, 2188, 899, 6791, 267, 8244, 267, 543, 4305, 6988, 269, 6684, 267, 950, 2870, 707, 1353, 1544, 267, 3313, 799, 4247, 2154, 7525, 3007, 543, 21138, 2200, 9935, 269, 1280, 1383, 267, 952, 596, 723, 513, 2101, 1788, 1813, 4166, 543, 1896, 4130, 13220, 267, 10994, 519, 7084, 1101, 547, 2057, 2063, 18826, 678, 16640, 269, 22982, 2645, 899, 29276, 327, 1077, 781, 7984, 11765, 270, 27735, 20232, 547, 30387, 4247, 18928, 543, 1118, 5483, 3664, 3823, 10862, 14305, 780, 1262, 25618, 344, 476, 273, 281, 1546, 5586, 566, 543, 21664, 4373, 7212, 711, 12799, 10423, 538, 519, 10566, 19616, 1867, 267, 5698, 5129, 513, 1713, 1909, 538, 922, 1646, 269, 15316, 4966, 8329, 741, 1702, 543, 5380, 267, 6038, 3056, 547, 513, 21950, 3803, 1587, 269, 1306, 513, 2875, 267, 5431, 602, 596, 798, 711, 991, 547, 9585, 3388, 10446, 282, 3343, 948, 689, 9905, 267, 3450, 20843, 267, 610, 20485, 8164, 2556, 269, 4813, 1353, 2516, 267, 2671, 4967, 267, 7941, 1804, 3785, 1851, 1895, 2818, 267, 543, 4497, 538, 824, 18756, 1565, 2833, 547, 11694, 4398, 543, 7145, 780, 1262, 25618, 344, 476, 274, 281, 17553, 7464, 2065, 17644, 543, 16458, 6050, 4373, 17730, 10853, 6788, 568, 2565, 585, 3811, 942, 2359, 269, 16505, 1524, 3677, 3785, 883, 19242, 3334, 543, 3651, 10257, 21852, 585, 11264, 1142, 4062, 269, 18554, 3356, 5781, 543, 4188, 28868, 607, 2877, 547, 13918, 27644, 2591, 610, 2242, 538, 14422, 269, 1879, 17265, 519, 10566, 19616, 1867, 267, 2015, 875, 25696, 949, 723, 3964, 19325, 543, 14541, 12201, 2429, 519, 26004, 1184, 547, 1832, 20334, 5059, 543, 12592, 780, 1262, 25618, 344, 476, 275, 281, 12861, 13419, 3293, 5530, 12697, 4373, 1805, 31382, 707, 1353, 942, 568, 1898, 585, 4509, 11610, 543, 4180, 11007, 269, 667, 539, 6510, 1808, 3108, 540, 519, 1554, 585, 11504, 5049, 267, 11264, 10467, 267, 2502, 538, 29599, 2238, 267, 543, 21363, 269, 21480, 2834, 9397, 547, 2061, 25794, 543, 2226, 6099, 5042, 1599, 269, 21302, 519, 10566, 19616, 1867, 781, 5888, 4266, 547, 18505, 2009, 3232, 13467, 7550, 676, 922, 4589, 1282, 519, 1603, 1184, 269, 2506, 3634, 713, 1935, 676, 9591, 5812, 1353, 3270, 20009, 547, 2620, 1565, 543, 12802, 780, 1262, 25618, 344, 476, 276, 281, 3687, 30093, 5940, 10330, 543, 5564, 527, 27965, 4373, 292, 742, 2176, 547, 7413, 19240, 543, 1617, 527, 27965, 616, 7533, 547, 2500, 942, 2359, 269, 10312, 9003, 593, 835, 4305, 693, 513, 942, 267, 14874, 1761, 2959, 540, 13779, 899, 1514, 2923, 267, 4282, 6846, 267, 610, 12721, 13800, 269, 5071, 622, 9602, 5624, 585, 13671, 960, 543, 1217, 1866, 540, 707, 15752, 547, 6536, 606, 1604, 20009, 547, 3768, 626, 32328, 1565, 269, 14484, 2390, 519, 10566, 19616, 1867, 781, 20334, 267, 945, 2693, 5249, 29367, 547, 29289, 4977, 1239, 267, 2932, 9488, 1382, 267, 543, 1459, 2312, 7440, 27507, 540, 11991, 2007, 11306, 610, 19240, 269, 7844, 741, 7029, 547, 2582, 2389, 27965, 543, 18906, 4369, 950, 13167, 707, 1353, 4566, 780, 1103, 3932, 267, 13215, 942, 2359, 14122, 12561, 1585, 2994, 6322, 693, 5355, 7607, 267, 4227, 2566, 267, 543, 5009, 11455, 2208, 269, 1635, 5373, 6667, 689, 519, 10566, 19616, 13186, 1867, 267, 596, 666, 2936, 2500, 20319, 2553, 267, 15518, 622, 4247, 14013, 267, 3715, 10853, 3853, 267, 1711, 11295, 1353, 5054, 267, 543, 7413, 19240, 547, 8853, 27268, 543, 13948, 269, 5457, 602, 942, 2359, 568, 606, 27952, 1184, 8506, 3586, 6268, 267, 9542, 267, 543, 27715, 269, 13773, 8149, 547, 14237, 891, 1983, 267, 543, 28231, 519, 12587, 540, 2799, 4398, 267, 4389, 4160, 267, 8476, 1445, 267, 4824, 2773, 267, 15398, 5876, 267, 22541, 9015, 267, 543, 6098, 3804, 9740, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27751, 540, 519, 22544, 593, 454, 11795, 4288, 540, 10566, 19616, 5303, 454, 15761, 2350, 23705, 648, 531, 6490, 1962, 2033, 27488, 566, 454, 13233, 4659, 540, 4132, 2657, 543, 5274, 4886, 267, 22078, 295, 454, 19423, 823, 540, 6481, 10241, 540, 3194, 267, 22078, 295, 454, 13233, 4659, 540, 27096, 673, 15136, 543, 853, 6593, 267, 22078, 295, 454, 13233, 9839, 267, 25016, 267, 543, 10552, 4659, 267, 22078, 295, 454, 288, 11765, 585, 2657, 5516, 8889, 543, 3194, 454, 293, 3985, 10684, 10029, 454, 9802, 476, 4029, 267, 1960, 271, 1765, 18907, 476, 272, 267, 1960, 271, 454, 299, 25475, 700, 269, 19159, 267, 631, 6185, 563, 303, 27389, 3599, 543, 3131, 514, 26331, 25032, 454, 290, 10938, 585, 3194, 585, 12624, 338, 543, 5753, 454, 13233, 4659, 540, 4132, 2657, 543, 5274, 4886, 267, 22078, 295, 454, 308, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 454, 14276, 2657, 6796, 454, 13233, 23941, 540, 2657, 454, 13233, 4659, 540, 4132, 2657, 543, 5274, 4886, 454, 25712, 295, 22910, 3143, 269, 476, 11152, 268, 26552, 280, 454, 11990, 670, 269, 674, 31867, 517, 267, 631, 6185, 563, 24730, 589, 269, 9741, 267, 631, 6185, 563, 347, 292, 3149, 320, 645, 2001, 630, 6865, 2752, 10534, 297, 3317, 11717, 2904, 7615, 267, 631, 6185, 269, 630, 288, 295, 9573, 305, 10245, 347, 13142, 19714, 590, 269, 9697, 345, 267, 631, 6185, 269, 630, 301, 2975, 8461, 10534, 24730, 595, 269, 25371, 267, 1912, 6185, 269, 630, 293, 6395, 10245, 25238, 528, 18333, 717, 841, 267, 1912, 6185, 269, 630, 26822, 299, 10292, 10534, 24589, 760, 670, 269, 15593, 573, 534, 267, 631, 6185, 269, 630, 301, 2562, 9169, 10245, 347, 294, 559, 10830, 267, 631, 2529, 269, 630, 301, 2975, 8461, 31206, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11742, 5004, 11150, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 5441, 20929, 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, 277, 281, 634, 18903, 540, 20429, 2920, 532, 692, 5970, 596, 2479, 9289, 875, 707, 5172, 27977, 543, 19347, 9413, 2097, 547, 1272, 286, 2755, 649, 949, 1589, 540, 14318, 607, 1175, 5961, 602, 1847, 267, 972, 781, 865, 1454, 811, 2469, 593, 3297, 519, 10207, 256, 589, 2629, 3693, 540, 1022, 19347, 2504, 568, 5639, 9117, 1107, 519, 1148, 540, 8744, 3197, 547, 1272, 1210, 1152, 835, 781, 5639, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 543, 3605, 1018, 2306, 5639, 9117, 865, 2027, 2439, 1432, 1772, 20429, 2920, 532, 888, 2411, 19030, 5331, 2542, 513, 1433, 16965, 267, 855, 3079, 540, 1373, 3054, 267, 596, 1831, 1142, 1915, 609, 2189, 9739, 267, 18565, 267, 4664, 267, 543, 14789, 269, 2334, 781, 5639, 9117, 256, 898, 3322, 23831, 707, 13047, 15421, 547, 1711, 3982, 3197, 538, 1585, 3029, 540, 2923, 899, 27515, 267, 3381, 3756, 267, 24384, 984, 23697, 267, 5010, 338, 267, 543, 5925, 4249, 780, 3963, 1772, 20429, 2920, 532, 12830, 888, 10900, 19567, 265, 2878, 289, 2590, 532, 2984, 547, 1272, 5093, 20429, 11051, 948, 721, 1921, 14156, 609, 519, 1650, 543, 922, 3197, 269, 1358, 3142, 3178, 267, 9644, 267, 543, 13597, 547, 1169, 1899, 789, 5838, 563, 265, 2878, 309, 619, 12546, 5093, 9521, 2661, 268, 9146, 12644, 267, 5639, 11051, 5749, 1405, 3908, 676, 741, 2168, 5920, 269, 1358, 666, 1404, 1022, 2085, 267, 4008, 267, 2249, 267, 610, 1256, 538, 534, 1493, 3615, 2336, 265, 2878, 16966, 2225, 5093, 20429, 9117, 2636, 1004, 540, 782, 6502, 543, 5759, 547, 2972, 2984, 269, 1280, 1383, 267, 1453, 1565, 547, 1224, 666, 1246, 2059, 609, 8301, 8747, 540, 2835, 1247, 11617, 15176, 2043, 666, 1995, 3308, 6386, 998, 3280, 4805, 780, 293, 13904, 20429, 2920, 832, 543, 4256, 32018, 454, 29432, 6624, 4583, 11051, 723, 6836, 741, 1688, 693, 5639, 9117, 267, 1519, 21035, 6801, 899, 8751, 670, 3471, 630, 24841, 344, 689, 23625, 9452, 1070, 23759, 517, 667, 27927, 630, 7468, 514, 947, 674, 542, 320, 538, 1744, 516, 330, 1070, 543, 4024, 8055, 630, 299, 766, 28238, 1782, 538, 1975, 625, 538, 2598, 7666, 1047, 1040, 1809, 1705, 596, 917, 602, 930, 5639, 11051, 616, 4583, 4481, 585, 741, 5639, 1478, 960, 286, 2368, 2442, 3283, 1331, 1384, 265, 2878, 290, 1301, 523, 5082, 571, 4995, 1411, 1522, 5431, 1200, 3068, 689, 5734, 7641, 2982, 899, 7345, 31296, 543, 2480, 776, 28414, 267, 855, 1352, 814, 849, 21378, 1200, 10058, 5639, 547, 2937, 7669, 779, 634, 18238, 27055, 8058, 543, 1896, 3381, 3014, 3785, 563, 265, 2878, 307, 816, 5839, 10468, 4068, 4995, 19612, 607, 519, 968, 5575, 15248, 540, 1323, 11582, 2223, 570, 816, 814, 21350, 5367, 7366, 540, 11537, 3197, 2066, 2789, 5481, 267, 971, 607, 9040, 338, 645, 22324, 689, 570, 4176, 1677, 976, 24601, 267, 16474, 689, 28358, 340, 18769, 267, 543, 30751, 667, 3089, 689, 18557, 24299, 563, 265, 2878, 295, 1678, 10897, 7559, 4995, 901, 2506, 3240, 13815, 16771, 568, 1655, 1634, 585, 1010, 11684, 5639, 5107, 538, 634, 3244, 1186, 976, 267, 4730, 11599, 3197, 899, 631, 4141, 590, 345, 903, 331, 752, 267, 12751, 654, 24513, 636, 267, 543, 7442, 340, 715, 1695, 553, 1901, 655, 777, 564, 15714, 780, 1692, 2052, 594, 8347, 20429, 2920, 532, 888, 10900, 14945, 3086, 602, 596, 4312, 4121, 827, 5639, 9117, 1577, 781, 2263, 875, 9358, 666, 2285, 621, 513, 2119, 256, 3807, 1246, 891, 3268, 1384, 272, 269, 7994, 513, 6429, 610, 5188, 689, 707, 5172, 7260, 267, 7641, 1397, 267, 610, 1433, 269, 5269, 2386, 621, 2934, 1114, 3197, 609, 8795, 4664, 563, 273, 269, 3367, 998, 519, 7097, 543, 2697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 646, 521, 902, 543, 786, 581, 811, 11630, 547, 741, 1379, 269, 734, 3798, 476, 12739, 563, 27609, 566, 585, 519, 5783, 26361, 4534, 2696, 568, 1164, 543, 13411, 282, 543, 547, 519, 18803, 267, 18468, 9997, 267, 3571, 2777, 593, 3618, 267, 519, 1747, 1141, 3571, 1004, 2743, 585, 10847, 267, 568, 607, 519, 10766, 540, 13140, 269, 634, 5152, 540, 17192, 267, 519, 1913, 9275, 676, 2441, 781, 26110, 267, 616, 2696, 781, 12912, 8041, 547, 5965, 513, 1004, 585, 519, 5939, 1657, 267, 585, 602, 3138, 1111, 1512, 10847, 269, 734, 962, 296, 4239, 269, 476, 279, 267, 476, 6245, 277, 563, 17951, 1564, 538, 3776, 5783, 10748, 1466, 4534, 2913, 721, 782, 7703, 538, 2247, 602, 538, 1169, 10198, 540, 519, 25598, 2630, 616, 23109, 540, 2696, 267, 6947, 547, 519, 16499, 23888, 2676, 338, 29330, 267, 543, 19001, 269, 2913, 721, 3314, 602, 938, 9299, 2478, 616, 29979, 676, 519, 1781, 15077, 540, 519, 21425, 545, 3984, 1657, 269, 734, 476, 277, 307, 476, 3607, 278, 563, 763, 1889, 540, 5272, 14576, 4534, 634, 2257, 540, 20778, 568, 547, 581, 519, 11411, 540, 1169, 28005, 517, 267, 519, 6249, 540, 1169, 5152, 269, 2913, 621, 581, 23953, 8521, 538, 1169, 1139, 997, 566, 269, 4534, 5345, 476, 2004, 273, 563, 306, 532, 2060, 13336, 543, 4197, 4534, 634, 9409, 540, 6101, 10847, 3112, 581, 1932, 9244, 13269, 267, 855, 1100, 1913, 666, 5265, 1305, 8521, 519, 2620, 25552, 1145, 540, 9758, 10847, 269, 1879, 1480, 7919, 2206, 609, 519, 6891, 543, 519, 1620, 267, 31676, 12372, 1491, 909, 519, 8833, 543, 6443, 538, 519, 5152, 540, 7064, 15130, 269, 1261, 945, 814, 1655, 15735, 2390, 721, 782, 519, 13344, 602, 5512, 721, 547, 581, 4600, 1927, 609, 2696, 267, 26770, 3571, 22063, 547, 11349, 741, 9739, 865, 602, 789, 666, 3717, 543, 2206, 538, 513, 1259, 602, 782, 666, 1174, 269, 898, 568, 711, 10978, 13465, 602, 568, 2877, 267, 855, 2312, 703, 29396, 267, 2953, 12332, 267, 543, 3982, 19039, 766, 269, 2913, 782, 1491, 942, 547, 11349, 519, 5639, 865, 602, 2696, 781, 17192, 666, 581, 23475, 538, 2312, 267, 2571, 18565, 267, 711, 609, 10792, 1145, 543, 695, 18115, 1145, 602, 1055, 754, 519, 1274, 269, 634, 2702, 547, 2206, 568, 519, 10516, 540, 2696, 282, 1577, 621, 581, 1031, 547, 3571, 18710, 269, 734, 476, 280, 307, 476, 16960, 267, 476, 13893, 563, 6826, 2246, 344, 538, 7327, 532, 3502, 18421, 4534, 3509, 616, 13465, 4190, 8964, 538, 519, 11401, 267, 8964, 540, 1018, 789, 786, 798, 267, 543, 1018, 789, 1611, 547, 798, 282, 855, 930, 798, 711, 798, 891, 1919, 282, 789, 798, 711, 2206, 609, 519, 6891, 543, 519, 1620, 849, 269, 1924, 538, 519, 454, 15105, 540, 519, 6478, 540, 2696, 267, 930, 616, 711, 28322, 267, 1317, 789, 798, 711, 1491, 621, 883, 741, 1360, 1272, 282, 789, 798, 711, 26821, 621, 269, 734, 5345, 476, 2004, 279, 563, 295, 2096, 985, 585, 519, 12769, 5235, 4534, 8409, 945, 1118, 13465, 513, 851, 540, 10143, 10847, 1058, 2824, 1728, 332, 985, 609, 2575, 3617, 547, 519, 8317, 267, 711, 24133, 4967, 267, 855, 28292, 267, 2943, 32444, 267, 23964, 269, 634, 5639, 666, 543, 1058, 581, 1110, 4327, 267, 21352, 539, 267, 543, 1016, 706, 539, 269, 734, 5345, 476, 2004, 279, 563, 17812, 2958, 1049, 670, 2096, 985, 4534, 6271, 2339, 799, 1058, 4309, 3007, 267, 1312, 693, 938, 3786, 11401, 543, 11992, 267, 568, 602, 540, 13465, 269, 589, 14012, 1058, 711, 2285, 856, 1728, 332, 985, 547, 581, 23475, 267, 2394, 621, 814, 1101, 1044, 23754, 539, 602, 789, 616, 5432, 547, 1346, 945, 2206, 269, 589, 1697, 1268, 1058, 581, 12912, 547, 1491, 5279, 540, 713, 3635, 267, 543, 621, 1058, 581, 1010, 10279, 547, 1294, 602, 971, 1728, 332, 985, 616, 5697, 607, 666, 581, 23475, 609, 519, 6891, 543, 609, 519, 1620, 849, 269, 7327, 532, 568, 513, 851, 540, 519, 10847, 540, 2696, 267, 855, 538, 519, 536, 2426, 1782, 6073, 538, 799, 621, 568, 1419, 5342, 267, 621, 568, 1100, 5491, 547, 519, 5168, 267, 543, 1100, 22632, 547, 2696, 269, 1703, 1058, 581, 1062, 543, 1931, 538, 713, 607, 1134, 607, 1169, 824, 851, 540, 519, 7083, 781, 960, 269, 5029, 1047, 513, 2754, 540, 519, 1655, 2206, 619, 267, 4171, 9739, 666, 1291, 519, 30798, 267, 543, 1287, 1577, 782, 945, 786, 267, 26595, 609, 873, 269, 8409, 945, 2206, 1058, 1118, 606, 4674, 547, 2206, 538, 10103, 282, 789, 1058, 25058, 930, 942, 547, 26821, 267, 602, 789, 949, 2308, 713, 13007, 547, 519, 18710, 540, 2696, 269, 734, 681, 295, 5147, 476, 2190, 267, 476, 6642, 274, 563, 306, 784, 6796, 585, 15526, 4534, 1703, 1058, 581, 538, 519, 11401, 4986, 540, 513, 26974, 3740, 2470, 269, 634, 13465, 1058, 711, 581, 2944, 676, 513, 1906, 1152, 269, 2353, 1459, 1058, 581, 9415, 547, 6443, 538, 519, 5152, 3028, 269, 1703, 616, 1346, 945, 723, 513, 2027, 10516, 540, 5152, 267, 543, 972, 616, 2053, 950, 513, 2027, 5048, 568, 28703, 676, 835, 13465, 4805, 610, 676, 1896, 796, 1746, 538, 5152, 269, 1809, 519, 13465, 568, 25864, 547, 581, 2944, 676, 513, 1906, 269, 634, 2702, 547, 2206, 568, 513, 13007, 540, 3310, 267, 799, 2696, 13821, 782, 547, 11349, 543, 946, 547, 3571, 2012, 781, 18710, 269, 734, 476, 278, 307, 476, 12893, 267, 476, 14138, 563, 306, 11548, 267, 11822, 7327, 532, 4534, 1215, 666, 2696, 581, 1350, 528, 1881, 950, 596, 4096, 585, 707, 13465, 593, 513, 1158, 569, 1781, 597, 602, 521, 902, 585, 2724, 286, 3733, 7015, 267, 950, 596, 1294, 891, 1919, 538, 513, 1318, 1769, 267, 596, 786, 723, 538, 707, 11401, 1152, 6653, 267, 2241, 13465, 267, 543, 596, 786, 2307, 519, 2898, 30798, 547, 6443, 538, 519, 5152, 269, 1548, 952, 1851, 1346, 1459, 972, 616, 930, 4171, 9739, 616, 711, 865, 7574, 607, 519, 9739, 540, 1866, 269, 1879, 519, 13465, 568, 971, 602, 23109, 666, 26595, 609, 519, 2206, 619, 267, 606, 12705, 568, 1500, 593, 8186, 602, 13465, 689, 5667, 534, 551, 1881, 17534, 3112, 1118, 269, 734, 5345, 476, 2004, 280, 563, 2419, 1301, 540, 5556, 2958, 1049, 7327, 532, 4534, 769, 519, 11401, 4371, 267, 519, 13465, 1058, 711, 581, 20495, 269, 2696, 666, 581, 1350, 528, 1881, 676, 713, 851, 540, 519, 3028, 269, 1656, 950, 2206, 619, 2709, 741, 2533, 267, 789, 1058, 581, 7608, 269, 1809, 2724, 1058, 711, 581, 1031, 547, 16926, 2206, 619, 269, 10705, 519, 13465, 540, 2241, 1728, 332, 985, 676, 519, 30798, 814, 513, 19259, 602, 568, 711, 22234, 676, 454, 1492, 13465, 540, 513, 1781, 597, 267, 2705, 9952, 621, 949, 581, 269, 734, 5345, 476, 2004, 280, 563, 18661, 781, 8003, 2859, 20537, 631, 699, 4813, 4534, 4813, 543, 16008, 798, 711, 13822, 519, 10806, 540, 2696, 269, 24583, 3000, 625, 1831, 1617, 2595, 29532, 543, 3063, 341, 698, 656, 607, 519, 4105, 3741, 540, 519, 10806, 540, 2696, 616, 4503, 269, 1809, 621, 568, 711, 1106, 543, 16008, 602, 2441, 3340, 269, 1261, 8288, 619, 547, 4309, 689, 3571, 11903, 12881, 4829, 538, 2868, 1465, 543, 796, 1345, 880, 1145, 267, 23339, 540, 22556, 267, 23502, 267, 543, 5168, 563, 294, 5282, 748, 813, 28328, 267, 5386, 13465, 267, 543, 15747, 2575, 538, 519, 5939, 798, 711, 1289, 8521, 519, 8964, 540, 519, 21425, 1781, 597, 269, 769, 519, 8289, 540, 2696, 891, 1919, 616, 899, 519, 8371, 540, 519, 4652, 8816, 995, 4453, 3529, 799, 16004, 4986, 855, 5910, 550, 1190, 3762, 269, 2441, 5654, 585, 4829, 267, 585, 3741, 540, 22556, 543, 29059, 543, 2648, 269, 1452, 616, 519, 3741, 540, 13140, 267, 543, 950, 789, 616, 7000, 538, 519, 2729, 540, 1480, 7919, 267, 649, 949, 917, 602, 2441, 568, 4646, 1369, 267, 519, 4126, 540, 18710, 269, 589, 30798, 949, 581, 519, 30529, 538, 519, 2244, 267, 1510, 2575, 610, 21286, 1397, 267, 855, 952, 621, 19299, 891, 3741, 267, 519, 2818, 666, 2206, 267, 585, 519, 7772, 540, 2441, 568, 538, 741, 20339, 267, 543, 713, 789, 666, 2709, 607, 513, 6653, 1073, 3175, 547, 2696, 269, 734, 5345, 476, 276, 1556, 267, 476, 24423, 563, 306, 784, 6796, 3502, 513, 19270, 1068, 4534, 910, 763, 6881, 1354, 803, 729, 602, 952, 26744, 1131, 646, 539, 519, 8480, 540, 1010, 1786, 628, 1066, 267, 543, 711, 19060, 593, 538, 519, 1259, 646, 1281, 538, 1818, 513, 1390, 4674, 547, 5150, 1804, 7249, 2958, 725, 267, 646, 1131, 723, 811, 3310, 585, 1434, 267, 543, 1010, 960, 1131, 723, 513, 811, 10213, 1198, 563, 3891, 1058, 2759, 1055, 689, 1010, 11401, 3388, 602, 814, 513, 5033, 4565, 766, 540, 26974, 3740, 4159, 282, 585, 971, 21286, 23079, 2285, 1100, 4222, 547, 519, 5048, 602, 646, 12217, 269, 1879, 519, 7083, 666, 28111, 609, 1864, 267, 1010, 960, 786, 711, 991, 547, 581, 2944, 538, 865, 7199, 513, 6073, 269, 1261, 786, 711, 991, 1287, 547, 979, 547, 865, 1454, 13258, 538, 10229, 1010, 11401, 269, 1261, 786, 711, 1747, 865, 1454, 13829, 593, 519, 7574, 1982, 269, 901, 851, 540, 1010, 2533, 568, 5342, 811, 1310, 519, 1931, 540, 513, 13447, 538, 513, 16222, 267, 982, 513, 5152, 3028, 538, 513, 3909, 5870, 269, 734, 5345, 476, 26341, 563, 18661, 781, 2776, 12401, 538, 8535, 4534, 634, 15988, 1663, 885, 799, 723, 1044, 4547, 883, 519, 10847, 538, 1590, 581, 588, 1066, 28204, 14284, 269, 1547, 1547, 1547, 8535, 568, 11807, 547, 2696, 1152, 950, 519, 2295, 568, 18813, 1881, 543, 1500, 2571, 543, 13411, 676, 922, 6703, 269, 1809, 1082, 945, 10508, 538, 2575, 917, 4986, 540, 1818, 23260, 538, 741, 12271, 547, 519, 7083, 269, 4256, 2295, 568, 8854, 834, 12898, 741, 7329, 11169, 1701, 734, 5345, 476, 24423, 563, 305, 889, 321, 880, 538, 519, 5783, 4534, 1879, 2024, 532, 10271, 3914, 519, 1164, 3044, 799, 621, 568, 741, 17979, 547, 3914, 267, 519, 16134, 540, 2441, 786, 581, 9738, 538, 782, 741, 10847, 269, 22553, 543, 18428, 543, 7574, 18517, 616, 711, 519, 4222, 540, 519, 5939, 269, 8616, 891, 1919, 723, 3144, 519, 1747, 602, 2696, 1058, 723, 267, 1256, 607, 789, 1705, 538, 519, 10847, 540, 519, 7642, 563, 763, 7083, 814, 7000, 547, 803, 602, 950, 519, 2295, 568, 18274, 539, 543, 18813, 1881, 267, 543, 519, 2818, 540, 519, 5939, 616, 851, 5474, 540, 519, 10143, 2470, 267, 513, 1379, 454, 15884, 979, 8521, 689, 519, 5939, 267, 945, 3494, 519, 5168, 267, 602, 786, 2014, 23260, 538, 519, 2295, 269, 9093, 543, 2021, 786, 711, 1287, 4096, 2390, 741, 15747, 2575, 855, 593, 519, 1379, 543, 11419, 540, 2696, 267, 799, 786, 2285, 2407, 1145, 540, 7772, 269, 1703, 568, 513, 960, 547, 581, 2944, 538, 21757, 2476, 519, 6299, 321, 880, 799, 814, 1044, 4547, 883, 519, 5939, 269, 1547, 1547, 1547, 901, 5048, 568, 711, 1152, 585, 519, 5939, 693, 2073, 855, 585, 1169, 824, 5939, 602, 814, 4553, 1200, 1383, 269, 734, 5345, 476, 24423, 563, 8245, 13109, 538, 16241, 7896, 4534, 6936, 26110, 917, 519, 1871, 540, 519, 27808, 2324, 540, 519, 10513, 13336, 2390, 1480, 12271, 269, 1358, 616, 1543, 609, 16134, 538, 3909, 2533, 269, 5502, 540, 1818, 1454, 540, 2442, 13465, 267, 789, 2285, 741, 9030, 3007, 547, 519, 1353, 540, 519, 6478, 267, 543, 11904, 17192, 547, 2696, 689, 519, 2295, 269, 26361, 519, 21286, 740, 528, 940, 789, 2543, 519, 27808, 740, 528, 940, 267, 519, 15022, 3512, 540, 513, 803, 2131, 543, 9602, 6891, 269, 769, 741, 28182, 568, 1336, 1100, 1368, 850, 269, 734, 5345, 476, 2004, 273, 563, 13480, 540, 519, 10513, 13336, 4534, 634, 12271, 540, 1082, 538, 519, 1158, 607, 1134, 607, 1082, 5939, 2818, 616, 8288, 1359, 585, 519, 29968, 540, 5020, 543, 19818, 532, 585, 519, 7297, 540, 20778, 269, 1358, 616, 5461, 538, 519, 3028, 540, 5152, 267, 855, 789, 616, 711, 1279, 532, 585, 602, 610, 1256, 11755, 269, 1358, 1616, 547, 917, 519, 14644, 999, 269, 1548, 1094, 603, 519, 6478, 540, 2696, 547, 803, 286, 634, 10513, 13336, 568, 2324, 593, 2247, 543, 2295, 267, 5373, 873, 547, 519, 29968, 540, 5020, 269, 1358, 1294, 3388, 5180, 873, 4657, 269, 5274, 4606, 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 ]
[ 1353, 540, 29398, 543, 741, 3601, 269, 1284, 723, 19927, 538, 11810, 602, 950, 2048, 344, 685, 568, 1599, 540, 2048, 343, 8730, 519, 12045, 540, 586, 609, 2463, 547, 1535, 1775, 4318, 269, 634, 1305, 909, 585, 713, 568, 267, 2913, 781, 2161, 960, 9775, 609, 12761, 2687, 547, 519, 3830, 267, 1548, 568, 519, 2179, 540, 960, 2944, 1063, 1535, 815, 476, 271, 7397, 543, 1535, 815, 476, 1015, 7397, 286, 769, 713, 3296, 267, 649, 2015, 519, 1739, 3156, 540, 29398, 538, 8804, 543, 9297, 281, 12540, 1400, 543, 2698, 8907, 267, 1942, 267, 543, 7443, 282, 1403, 519, 968, 19417, 892, 630, 5228, 519, 1599, 264, 568, 513, 2942, 1297, 267, 1287, 14921, 621, 676, 519, 8700, 3085, 1406, 2285, 721, 4890, 1858, 267, 621, 3947, 721, 519, 1858, 609, 513, 2942, 1129, 269, 16949, 543, 15285, 616, 1079, 540, 519, 2596, 2035, 538, 11810, 269, 6258, 811, 20504, 269, 10241, 540, 519, 1473, 1030, 9548, 6715, 1537, 2982, 875, 547, 1265, 12761, 630, 5228, 6991, 264, 543, 6991, 630, 5228, 10231, 264, 1210, 519, 22543, 9548, 7533, 269, 676, 631, 269, 25816, 928, 269, 16949, 568, 519, 11201, 267, 538, 602, 621, 3947, 519, 3169, 14805, 566, 540, 513, 1599, 1063, 1079, 2418, 269, 20145, 849, 946, 18549, 538, 1082, 824, 4610, 269, 634, 17386, 7533, 540, 535, 568, 519, 1689, 538, 2990, 540, 519, 1286, 1282, 519, 942, 8884, 269, 1261, 814, 6026, 1164, 1153, 7998, 543, 6323, 585, 476, 1691, 1296, 269, 5463, 269, 476, 1428, 267, 476, 1708, 271, 269, 6030, 602, 5965, 596, 547, 7118, 8281, 13335, 2986, 20145, 769, 8212, 7824, 269, 1284, 723, 6743, 693, 519, 17386, 7533, 607, 519, 9896, 1858, 896, 513, 7455, 269, 6355, 20145, 568, 2757, 11810, 4294, 547, 1870, 7653, 543, 3871, 269, 7070, 267, 26943, 2435, 8551, 543, 9608, 2422, 713, 3349, 547, 7447, 519, 2698, 2551, 2208, 689, 476, 3192, 271, 547, 476, 1220, 271, 281, 634, 17386, 7533, 540, 713, 2557, 786, 2285, 519, 2698, 1689, 538, 2551, 936, 519, 13977, 4458, 1974, 269, 9894, 596, 917, 2507, 1284, 723, 936, 476, 13136, 2852, 1284, 786, 2736, 938, 3156, 538, 713, 3296, 883, 1079, 2516, 269, 1772, 713, 606, 896, 10140, 1493, 610, 606, 936, 10140, 1493, 286, 634, 1101, 1900, 568, 547, 1305, 909, 519, 7533, 4758, 721, 267, 3767, 649, 11753, 519, 1599, 609, 2463, 547, 942, 543, 6218, 621, 1063, 519, 6302, 476, 271, 7643, 543, 476, 1015, 7643, 4611, 538, 269, 8564, 513, 1641, 547, 12744, 1644, 6030, 281, 799, 649, 4194, 585, 546, 332, 269, 2201, 513, 2780, 267, 649, 666, 946, 3292, 543, 4950, 2959, 547, 6218, 29398, 269, 26499, 630, 28926, 839, 513, 1110, 531, 264, 3267, 22718, 5163, 2042, 630, 15759, 1537, 11810, 264, 5192, 476, 274, 540, 476, 275, 2055, 547, 1377, 909, 256, 24205, 476, 8099, 281, 8836, 5525, 1299, 16844, 538, 519, 772, 2529, 269, 595, 5183, 4427, 11687, 10001, 910, 19938, 630, 3918, 294, 2567, 5530, 6651, 1299, 6657, 267, 634, 10020, 540, 8111, 6665, 832, 538, 16473, 532, 20351, 4498, 14536, 267, 6206, 12983, 540, 20351, 4498, 14536, 585, 8111, 6665, 832, 267, 634, 12186, 540, 20351, 4498, 14536, 593, 31740, 267, 6206, 12983, 540, 20351, 4498, 14536, 585, 31740, 267, 20028, 4804, 19047, 585, 2296, 5678, 3231, 1676, 630, 21822, 264, 4841, 267, 32018, 1299, 13786, 4850, 540, 11334, 538, 20028, 4804, 269, 8382, 538, 519, 1106, 586, 815, 535, 630, 343, 1040, 1703, 616, 849, 8924, 602, 666, 581, 22434, 5196, 16389, 547, 4194, 29398, 269, 7170, 281, 3848, 476, 276, 281, 21850, 9680, 305, 3201, 595, 3201, 290, 8085, 4785, 476, 272, 3848, 476, 276, 21850, 9680, 305, 3201, 595, 3201, 290, 8085, 4785, 269, 634, 4099, 540, 2527, 568, 519, 4087, 538, 606, 1843, 1141, 782, 540, 519, 2527, 540, 519, 1843, 666, 581, 2808, 547, 581, 4092, 269, 18289, 2042, 630, 5976, 29398, 264, 5192, 476, 274, 540, 476, 275, 2055, 547, 1377, 909, 256, 1403, 535, 6025, 264, 4564, 513, 2318, 2557, 630, 514, 586, 26972, 829, 512, 26972, 1070, 1287, 519, 17386, 7533, 540, 535, 689, 513, 547, 536, 568, 519, 2698, 586, 26972, 602, 18645, 1063, 512, 815, 513, 543, 512, 815, 536, 269, 3733, 7447, 568, 602, 827, 476, 24374, 7125, 941, 1500, 1063, 476, 280, 10681, 543, 476, 1556, 10681, 269, 20145, 568, 513, 1360, 11684, 543, 3407, 1907, 269, 13517, 281, 901, 568, 606, 4367, 547, 11810, 585, 1053, 538, 1870, 267, 9297, 267, 543, 824, 1514, 9443, 269, 1284, 1491, 519, 2489, 7533, 543, 12990, 519, 6991, 3830, 883, 519, 7533, 4758, 721, 267, 799, 568, 11117, 1063, 512, 815, 476, 271, 543, 512, 815, 476, 276, 7643, 4611, 538, 269, 9736, 10677, 476, 1220, 274, 268, 1708, 271, 5530, 2593, 269, 8074, 602, 519, 6991, 568, 2318, 689, 476, 272, 2394, 476, 273, 281, 1789, 267, 1287, 3587, 2942, 269, 2871, 3660, 676, 4966, 689, 519, 3427, 540, 9119, 543, 519, 13174, 4804, 10418, 693, 519, 2160, 540, 1520, 11253, 728, 267, 713, 1576, 786, 3382, 2035, 543, 2553, 547, 1683, 513, 5748, 585, 519, 3156, 540, 15285, 538, 13241, 1644, 11678, 543, 5924, 2417, 1353, 693, 519, 15938, 1377, 269, 11910, 621, 3274, 968, 1858, 269, 9232, 891, 2942, 2127, 1491, 2476, 689, 519, 2780, 5690, 519, 256, 13966, 922, 3259, 267, 519, 7522, 518, 519, 25965, 267, 519, 17079, 568, 693, 1535, 815, 476, 2420, 3738, 3800, 2557, 256, 20145, 476, 272, 3848, 476, 276, 7533, 11810, 3498, 540, 7533, 11810, 538, 1870, 723, 1344, 1169, 476, 1015, 1296, 3992, 1862, 20145, 543, 621, 568, 1500, 909, 540, 1079, 10562, 3584, 267, 11186, 11810, 607, 519, 540, 256, 30770, 2698, 7443, 267, 610, 1265, 519, 2898, 960, 568, 3989, 538, 602, 8884, 4950, 2959, 547, 6218, 5619, 547, 269, 3738, 3498, 540, 7533, 11810, 538, 1870, 519, 2418, 689, 519, 3747, 543, 3761, 1599, 519, 968, 15627, 9232, 540, 519, 1101, 1296, 269, 634, 811, 25965, 596, 946, 267, 519, 1732, 707, 19406, 786, 581, 693, 875, 547, 2333, 6216, 998, 1862, 18880, 5258, 676, 519, 1297, 540, 15146, 3498, 540, 7533, 11810, 538, 1870, 1500, 829, 3108, 630, 513, 2557, 256, 5610, 568, 4922, 1031, 1870, 1862, 19402, 476, 273, 281, 1789, 267, 1287, 3587, 2942, 538, 1153, 610, 3328, 13304, 720, 829, 20645, 3154, 4616, 540, 707, 6174, 476, 2568, 269, 276, 269, 634, 3113, 540, 513, 1599, 543, 519, 8880, 7852, 5662, 6398, 3108, 815, 7125, 4137, 476, 272, 586, 256, 2986, 476, 1015, 1296, 540, 12596, 693, 15760, 297, 308, 1412, 338, 476, 273, 269, 15894, 3556, 6898, 693, 3169, 269, 5741, 9727, 519, 1739, 2035, 538, 7533, 11810, 547, 1305, 519, 5934, 11033, 1813, 593, 15894, 3556, 3549, 2224, 547, 256, 3245, 535, 11313, 630, 1775, 4318, 630, 689, 6991, 3738, 543, 6991, 630, 689, 6991, 3738, 543, 6991, 2042, 547, 519, 1862, 1677, 713, 2631, 538, 519, 1106, 586, 815, 678, 630, 512, 3738, 519, 256, 3738, 815, 273, 267, 11554, 18623, 10378, 20780, 532, 16515, 819, 6363, 872, 2852, 547, 519, 1353, 540, 1870, 9297, 256, 898, 3274, 968, 1858, 269, 9232, 891, 2942, 2127, 1491, 2476, 689, 519, 1644, 8589, 3252, 1942, 1862, 769, 4294, 8658, 713, 3947, 721, 267, 547, 9096, 713, 1966, 649, 11690, 538, 585, 1018, 256, 15894, 3556, 3549, 2224, 11810, 547, 519, 1870, 2361, 543, 536, 616, 1572, 7182, 1862, 634, 7872, 540, 2942, 1858, 269, 3738, 1883, 547, 1620, 519, 13250, 513, 256, 9978, 3156, 540, 29398, 543, 649, 666, 4194, 581, 10442, 606, 7533, 1152, 723, 513, 8700, 540, 476, 1015, 1296, 865, 1862, 26162, 540, 2551, 2208, 585, 7137, 787, 26165, 585, 1896, 1296, 267, 855, 8804, 3738, 2099, 519, 2698, 538, 256, 13648, 773, 8889, 2333, 6216, 4656, 998, 11007, 6902, 5463, 269, 476, 1556, 267, 476, 1708, 271, 2942, 267, 3845, 519, 269, 2334, 11313, 521, 21045, 689, 519, 8589, 1942, 941, 1500, 1063, 476, 280, 10681, 543, 476, 1556, 10681, 4092, 538, 269, 4427, 4784, 547, 918, 9155, 518, 30277, 1744, 756, 1663, 17976, 337, 4972, 540, 8804, 808, 698, 2335, 987, 2160, 616, 1614, 25965, 6594, 707, 269, 2422, 11810, 547, 6218, 29398, 593, 606, 1843, 4929, 621, 547, 1847, 873, 256, 7102, 1448, 538, 942, 267, 596, 666, 2503, 547, 3382, 891, 1292, 3584, 281, 476, 272, 13977, 4458, 12732, 865, 269, 25334, 2225, 540, 2942, 1858, 269, 3738, 1413, 693, 875, 547, 1265, 856, 519, 2698, 2551, 2208, 689, 476, 3192, 271, 547, 568, 269, 3776, 3156, 538, 6323, 543, 4702, 4359, 3156, 1331, 1379, 3126, 543, 22263, 3126, 3768, 334, 9232, 16755, 11783, 5221, 649, 11313, 556, 1869, 4114, 26305, 519, 1858, 4010, 6128, 602, 9388, 16755, 256, 2107, 1265, 519, 1318, 1153, 476, 2735, 271, 547, 476, 1960, 271, 267, 543, 16389, 666, 1031, 1862, 17214, 829, 3498, 540, 7533, 11810, 538, 1870, 630, 513, 2557, 256, 6013, 2630, 519, 1535, 14289, 2097, 538, 609, 513, 2039, 540, 2009, 11783, 769, 3194, 5811, 27491, 476, 272, 700, 11229, 519, 1942, 543, 8907, 3252, 616, 7229, 998, 22543, 9548, 7533, 856, 269, 15240, 3482, 1018, 621, 11224, 267, 799, 568, 519, 1689, 538, 6991, 267, 799, 568, 689, 7148, 256, 20099, 267, 519, 17079, 693, 476, 274, 10681, 267, 519, 2127, 540, 5546, 2786, 1862, 2986, 2527, 568, 519, 6152, 7274, 602, 4564, 519, 3017, 1063, 2349, 2105, 4804, 1299, 4804, 256, 3245, 12596, 4166, 26659, 1775, 4318, 1421, 875, 547, 1265, 29398, 3738, 1205, 476, 274, 540, 476, 275, 2055, 547, 1377, 909, 946, 256, 16949, 2337, 721, 547, 1265, 2127, 267, 3498, 540, 7533, 11810, 538, 1870, 267, 3844, 2798, 543, 1082, 3730, 1919, 513, 256, 3738, 5149, 281, 3156, 540, 7533, 11810, 616, 607, 5205, 540, 2560, 1870, 568, 269, 1323, 2272, 4187, 538, 713, 3296, 267, 649, 4121, 875, 547, 1265, 856, 7082, 521, 1862, 4804, 1299, 3845, 4804, 2011, 4187, 538, 713, 9183, 581, 2808, 547, 581, 827, 476, 272, 269, 6924, 1354, 476, 276, 11810, 256, 645, 1872, 7575, 538, 519, 8884, 1496, 476, 272, 267, 275, 9948, 1599, 543, 519, 8880, 7852, 799, 729, 2919, 7223, 269, 1411, 1205, 519, 28102, 9623, 596, 991, 547, 1265, 856, 7082, 11313, 521, 2626, 2630, 267, 594, 1131, 519, 269, 10241, 538, 713, 3296, 513, 2898, 267, 1685, 16900, 281, 713, 568, 519, 9258, 1184, 540, 519, 2698, 1599, 1862, 10241, 540, 29398, 543, 17386, 29398, 676, 519, 1297, 540, 2418, 829, 3108, 630, 513, 2557, 3738, 256, 1656, 9511, 3169, 2626, 2042, 602, 649, 666, 12990, 1018, 621, 11224, 538, 585, 18494, 621, 1862, 1411, 1205, 519, 28102, 9623, 596, 991, 547, 1265, 12761, 630, 689, 6991, 3738, 543, 6991, 630, 689, 10231, 1210, 1862, 6176, 1169, 476, 1015, 1296, 7684, 815, 2715, 476, 2735, 271, 2551, 7684, 815, 6567, 476, 1220, 271, 26414, 17976, 337, 540, 1862, 9406, 538, 519, 8884, 540, 7156, 267, 1287, 3587, 2942, 4194, 519, 11186, 17817, 1286, 1282, 942, 1862, 8212, 3322, 7311, 513, 3196, 593, 606, 1843, 4929, 621, 547, 1847, 1101, 1421, 11186, 11810, 543, 7533, 11810, 538, 1870, 12834, 476, 274, 519, 968, 15627, 9232, 540, 519, 22543, 9548, 7533, 16588, 269, 2986, 2852, 543, 4688, 5215, 1055, 707, 4110, 1018, 519, 4756, 568, 24568, 713, 1383, 519, 1862, 25642, 3498, 540, 11810, 538, 3498, 540, 7533, 11810, 538, 1870, 585, 1585, 3375, 1818, 3952, 2417, 538, 519, 586, 1862, 28518, 606, 7533, 1158, 11665, 2069, 547, 4896, 267, 9170, 267, 4647, 519, 7300, 540, 12596, 693, 15760, 297, 308, 1412, 338, 945, 29755, 960, 267, 855, 8804, 3738, 2798, 540, 922, 2035, 519, 5276, 267, 256, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 519, 1318, 23511, 281, 799, 649, 4194, 585, 546, 332, 568, 3812, 267, 1018, 729, 519, 9259, 4294, 8658, 538, 519, 256, 11933, 21154, 1039, 909, 782, 1507, 12772, 540, 1265, 519, 2698, 1942, 1599, 543, 519, 8880, 907, 15048, 568, 9268, 547, 12744, 1644, 6030, 281, 799, 649, 4194, 585, 546, 332, 649, 666, 4194, 581, 10442, 606, 23511, 476, 276, 7533, 11810, 585, 1114, 3549, 948, 1020, 1870, 4566, 17976, 337, 4972, 8804, 256, 645, 616, 1572, 519, 7182, 540, 5610, 568, 4922, 1031, 538, 1870, 12834, 476, 274, 4287, 7213, 12885, 3498, 16949, 1892, 24371, 946, 256, 11762, 267, 11186, 11810 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 1071, 268, 10869, 1184, 547, 18997, 519, 1126, 602, 2306, 891, 5863, 1004, 693, 519, 1439, 540, 519, 3460, 563, 257, 6546, 3586, 18497, 1935, 547, 18997, 519, 1126, 814, 1360, 7096, 5222, 585, 519, 1453, 563, 21893, 568, 1945, 602, 594, 1589, 3237, 689, 824, 3506, 610, 2069, 1949, 786, 1413, 693, 543, 789, 666, 1294, 972, 781, 1945, 1114, 538, 938, 3214, 267, 855, 711, 1174, 1018, 621, 568, 610, 1946, 621, 568, 4799, 16829, 676, 795, 517, 329, 599, 2001, 693, 476, 272, 281, 4510, 7537, 0, 6944, 1503, 540, 24538, 623, 3949, 769, 543, 15907, 519, 5851, 4521, 333, 454, 6624, 1114, 2249, 540, 5521, 10860, 616, 1336, 538, 1753, 1876, 985, 538, 14967, 269, 1452, 1331, 7786, 971, 607, 24060, 577, 12961, 543, 3043, 575, 16421, 602, 2047, 4323, 543, 3441, 32005, 6371, 267, 10860, 971, 607, 22376, 7714, 543, 1984, 21317, 525, 602, 666, 1831, 513, 562, 7572, 766, 950, 789, 2049, 538, 1164, 2338, 267, 543, 10860, 971, 607, 3595, 17605, 267, 729, 1186, 267, 543, 24217, 602, 2047, 4323, 519, 1753, 26782, 543, 1866, 1210, 519, 15989, 563, 1607, 8313, 9607, 930, 540, 519, 1034, 1455, 10860, 540, 1876, 985, 538, 14967, 543, 2488, 1344, 547, 948, 2697, 873, 269, 898, 849, 2488, 2596, 6211, 1344, 827, 1142, 11641, 267, 6257, 519, 3441, 789, 2014, 267, 543, 3947, 2489, 1344, 593, 1852, 543, 1806, 540, 3730, 11641, 20820, 2472, 563, 12606, 519, 7300, 1657, 269, 0, 309, 273, 18500, 8490, 9218, 454, 14240, 281, 476, 272, 269, 6109, 267, 4096, 762, 267, 543, 26772, 538, 3483, 610, 14017, 282, 476, 273, 269, 16119, 6378, 610, 3586, 454, 26239, 11618, 281, 10121, 267, 6109, 267, 759, 5193, 267, 26772, 267, 4096, 762, 267, 1799, 990, 762, 454, 12901, 11618, 281, 7477, 650, 908, 267, 1698, 878, 1190, 454, 19522, 281, 853, 1737, 9724, 568, 6508, 689, 519, 6196, 2296, 2262, 588, 539, 1030, 19508, 560, 267, 799, 12777, 1797, 968, 325, 12089, 538, 1747, 1848, 1403, 596, 616, 32344, 538, 707, 4978, 267, 621, 781, 711, 2693, 602, 596, 786, 1689, 707, 2247, 610, 6644, 563, 294, 776, 814, 1044, 29315, 781, 32344, 24343, 2429, 1200, 6370, 538, 5480, 269, 630, 684, 342, 26205, 267, 10121, 994, 9515, 568, 32344, 538, 1200, 8207, 547, 7119, 538, 519, 17431, 1985, 3923, 269, 630, 637, 5193, 994, 3891, 1223, 2141, 4096, 593, 1010, 32344, 18793, 547, 1205, 1864, 998, 519, 9157, 2053, 269, 630, 331, 5819, 267, 4096, 762, 994, 296, 723, 2141, 25343, 1010, 32344, 11428, 547, 1010, 4876, 269, 630, 325, 3305, 267, 26772, 994, 20524, 1215, 1411, 2052, 13724, 2659, 454, 309, 665, 5879, 476, 1015, 547, 476, 1911, 8648, 674, 2120, 609, 454, 1492, 5295, 18500, 12706, 518, 454, 763, 4214, 543, 4245, 585, 519, 2262, 32344, 941, 1500, 2139, 676, 519, 4586, 763, 5295, 18500, 12706, 518, 786, 948, 596, 1020, 513, 2407, 518, 267, 21950, 6863, 476, 1015, 547, 476, 1911, 2053, 5488, 982, 1022, 824, 1982, 2139, 563, 28716, 519, 519, 338, 924, 1318, 1631, 547, 3605, 875, 596, 666, 1205, 2407, 1569, 547, 713, 14634, 1982, 2221, 256, 0, 763, 1382, 6077, 21069, 560, 1716, 5036, 1055, 593, 922, 476, 2767, 628, 21303, 16939, 593, 4947, 11728, 267, 476, 1839, 5239, 269, 634, 22116, 786, 2874, 540, 2185, 7953, 9674, 676, 2823, 7125, 538, 15729, 16011, 630, 21026, 4000, 1070, 623, 2863, 320, 589, 1066, 553, 630, 2419, 850, 264, 543, 1394, 547, 15729, 16011, 563, 763, 3621, 17122, 2798, 540, 519, 16939, 616, 11626, 1382, 267, 5836, 2762, 543, 7350, 269, 769, 1840, 267, 519, 6928, 786, 3142, 7727, 547, 3026, 636, 9707, 13749, 8633, 267, 519, 667, 718, 10458, 8047, 543, 519, 3703, 681, 6139, 571, 6728, 1282, 519, 16939, 269, 3683, 476, 5197, 3173, 689, 32112, 538, 476, 1428, 2477, 616, 2921, 851, 538, 519, 16939, 267, 799, 786, 1439, 538, 6601, 1067, 6409, 523, 538, 4571, 5336, 599, 476, 1001, 272, 563, 5804, 6601, 1067, 6409, 523, 519, 6077, 786, 1101, 1305, 1576, 585, 15729, 16011, 267, 3162, 4000, 269, 634, 2319, 18188, 676, 8783, 10196, 3220, 269, 20913, 645, 636, 651, 689, 519, 2274, 30519, 714, 4659, 540, 13149, 7070, 630, 2252, 300, 8566, 324, 558, 541, 264, 786, 1491, 5413, 540, 519, 22116, 2066, 519, 9533, 547, 4163, 856, 7403, 540, 11626, 543, 30173, 3601, 267, 3313, 1648, 543, 1570, 13441, 525, 1063, 519, 5836, 543, 5790, 543, 2932, 3114, 13753, 269, 1677, 1353, 519, 1648, 543, 1570, 13441, 525, 267, 519, 3744, 786, 1586, 946, 7405, 8704, 538, 519, 8708, 540, 519, 7909, 564, 1788, 267, 799, 729, 16887, 2919, 585, 3156, 593, 26708, 543, 1382, 8043, 896, 519, 2359, 540, 1403, 300, 8566, 324, 558, 541, 609, 519, 4659, 540, 18858, 1842, 335, 8879, 3194, 538, 2274, 760, 345, 580, 563, 13010, 267, 519, 3621, 2319, 786, 1449, 606, 8242, 1062, 585, 7893, 519, 13837, 331, 3233, 602, 729, 8704, 593, 4604, 1282, 519, 3819, 546, 1442, 936, 3873, 592, 538, 6601, 1067, 6409, 523, 269, 3220, 269, 17713, 8862, 518, 1676, 2480, 1156, 651, 540, 519, 21238, 654, 1122, 10273, 4659, 585, 21069, 543, 13149, 3194, 538, 519, 29581, 3128, 16379, 5948, 814, 1044, 1210, 519, 865, 10777, 10281, 4592, 933, 788, 16079, 6204, 837, 585, 1082, 1296, 267, 1851, 824, 1919, 267, 547, 2721, 909, 562, 27658, 12125, 269, 6270, 11837, 540, 519, 13837, 331, 3233, 3029, 519, 4493, 585, 1082, 824, 5686, 540, 1382, 960, 593, 4604, 269, 4437, 5505, 267, 585, 3236, 267, 1616, 547, 2322, 856, 3165, 20637, 593, 519, 3791, 1850, 540, 519, 16939, 543, 666, 3313, 519, 1034, 7957, 24461, 4025, 547, 798, 865, 593, 519, 4493, 540, 8602, 2096, 13011, 1239, 563, 763, 4102, 2713, 7068, 593, 938, 4541, 267, 519, 16385, 267, 849, 1404, 513, 1909, 593, 519, 16939, 269, 12824, 540, 519, 7909, 545, 3600, 24065, 923, 2324, 1895, 540, 519, 21238, 654, 1122, 10273, 4659, 1616, 547, 19671, 606, 17974, 2594, 518, 693, 513, 3178, 540, 1472, 476, 12010, 15432, 693, 519, 7187, 1439, 540, 519, 9546, 6665, 23374, 7178, 540, 21601, 28992, 16172, 1354, 10912, 693, 15729, 16011, 269, 898, 786, 2594, 519, 8964, 540, 16385, 538, 606, 1858, 1141, 27229, 1082, 2249, 2285, 4332, 547, 741, 1762, 269, 4595, 2370, 568, 1634, 827, 519, 9194, 543, 9960, 12406, 540, 1082, 16385, 693, 1459, 267, 713, 17974, 1505, 786, 3761, 1007, 1344, 593, 519, 12219, 7286, 11864, 563, 1103, 15729, 16011, 513, 1007, 2319, 540, 3744, 543, 23390, 786, 2322, 547, 4262, 267, 4259, 1576, 585, 519, 8828, 7909, 693, 519, 1439, 540, 5437, 269, 7324, 824, 1919, 267, 519, 2319, 15866, 9967, 540, 5836, 20802, 543, 27563, 786, 1353, 875, 519, 21303, 7909, 2242, 269, 21069, 560, 1716, 786, 10123, 3142, 7727, 547, 3026, 636, 9707, 13749, 8633, 267, 519, 667, 718, 10458, 8047, 543, 519, 3703, 681, 6139, 571, 6728, 543, 568, 16516, 547, 2132, 547, 6601, 1067, 6409, 523, 593, 476, 736, 2904, 476, 1001, 272, 563, 24687, 585, 3798, 6002, 281, 2659, 3346, 1268, 693, 519, 21238, 654, 1122, 10273, 4659, 568, 23205, 651, 2725, 327, 4135, 839, 267, 4972, 540, 18058, 543, 9012, 9534, 630, 7483, 281, 1341, 5392, 476, 5325, 272, 476, 4366, 274, 272, 268, 1220, 278, 267, 4757, 281, 23205, 651, 8160, 12317, 4135, 839, 287, 25596, 19709, 1040, 7490, 1265, 7792, 2592, 593, 938, 3896, 5291, 2517, 4178, 269, 25596, 19709, 563, 763, 21238, 654, 1122, 10273, 4659, 29377, 1382, 538, 519, 11848, 267, 21303, 543, 12084, 540, 519, 1164, 543, 4571, 4234, 6421, 269, 898, 10974, 8701, 1382, 538, 5125, 543, 2488, 2101, 5989, 547, 519, 3486, 3621, 2146, 267, 971, 607, 519, 1382, 4672, 3691, 6033, 21069, 560, 1716, 543, 10473, 538, 519, 11848, 543, 21303, 269, 634, 21238, 654, 1122, 10273, 4659, 568, 835, 540, 519, 28465, 1382, 18013, 540, 519, 29581, 3128, 16379, 5948, 267, 519, 4102, 3621, 13539, 538, 5125, 563, 290, 527, 714, 523, 2257, 5859, 547, 5351, 9568, 3210, 454, 2764, 269, 6860, 269, 1001, 278, 1923, 4139, 4659, 585, 11930, 7010, 5811, 630, 2862, 3008, 288, 994, 5804, 18962, 781, 9386, 267, 8331, 6293, 5654, 6607, 1164, 543, 547, 519, 2104, 454, 2767, 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, 2764, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 736, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 1240, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 2764, 269, 6860, 269, 1001, 278, 1923, 5020, 7070, 454, 2764, 269, 6860, 269, 1001, 278, 1923, 5020, 7070, 454, 2764, 269, 6860, 269, 1001, 278, 1923, 5020, 7070, 0, 16158, 10196, 543, 681, 839, 1088, 320, 518, 12443, 23855, 545, 4659, 570, 5930, 1652, 2622, 3194, 4790, 749, 566, 7905, 1546, 4011, 1695, 5062, 10817, 514, 1145, 814, 1044, 3384, 513, 1920, 540, 3156, 585, 519, 1034, 10509, 1606, 822, 11803, 9174, 598, 7224, 23579, 2720, 2094, 1200, 2395, 607, 513, 10927, 2875, 538, 519, 476, 2735, 271, 338, 1765, 29592, 1018, 649, 1631, 917, 607, 519, 2622, 22453, 5680, 1185, 1256, 1044, 19424, 539, 563, 9213, 267, 5062, 10817, 514, 1145, 568, 1851, 519, 1158, 779, 19466, 4966, 538, 5680, 23835, 1108, 4654, 269, 1452, 4654, 616, 1031, 547, 31391, 10096, 538, 513, 1893, 602, 5904, 666, 1174, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5150, 2324, 5790, 780, 274, 269, 31287, 25682, 3292, 281, 14992, 1616, 741, 4600, 547, 1745, 1390, 1312, 9308, 543, 15508, 269, 1677, 3035, 713, 3804, 267, 27239, 23083, 2238, 971, 607, 3635, 5049, 267, 2566, 2359, 11925, 267, 610, 6484, 13508, 7886, 1282, 12899, 9397, 269, 12056, 538, 891, 2010, 540, 2621, 7512, 1732, 6208, 543, 10607, 2949, 2298, 540, 1272, 780, 275, 269, 10572, 29960, 281, 6884, 2043, 3068, 2189, 2591, 7133, 741, 2773, 693, 960, 269, 3414, 4357, 5717, 267, 27239, 1592, 839, 543, 7028, 873, 538, 4466, 3435, 267, 4543, 3025, 8011, 1927, 780, 276, 269, 20710, 3101, 3782, 10616, 281, 3502, 782, 3782, 1949, 2709, 3160, 1569, 547, 2200, 543, 5574, 269, 2060, 3573, 1995, 538, 4357, 543, 1857, 3782, 2853, 267, 27239, 20674, 12820, 538, 10188, 1950, 3871, 5473, 9441, 2115, 543, 2139, 3681, 780, 277, 269, 26225, 16949, 281, 4658, 609, 9124, 3142, 3407, 1983, 543, 5380, 883, 519, 9036, 269, 1717, 267, 8383, 908, 741, 4170, 666, 3100, 4101, 269, 27239, 10274, 3906, 998, 713, 1184, 267, 1818, 621, 4443, 585, 3025, 3238, 780, 3086, 1577, 781, 2911, 4481, 827, 25750, 267, 1776, 1898, 2460, 540, 17163, 1072, 269, 5994, 1373, 851, 540, 513, 1895, 10707, 18246, 585, 513, 1788, 282, 3478, 1978, 10074, 25656, 1131, 2149, 596, 1996, 3676, 11342, 538, 602, 3148, 269, 6684, 267, 930, 6009, 2154, 31331, 1813, 547, 2362, 4598, 4220, 910, 1589, 827, 2978, 23390, 7829, 11763, 2326, 3232, 780, 3719, 1946, 616, 10074, 2500, 286, 1879, 938, 4703, 7237, 4914, 6878, 899, 4551, 610, 8290, 267, 789, 3132, 5946, 1572, 12489, 547, 4339, 1055, 891, 28164, 269, 10251, 267, 2870, 2614, 12489, 3217, 942, 267, 3850, 4576, 547, 1305, 538, 1101, 269, 2334, 781, 1141, 10074, 2097, 538, 256, 1358, 6338, 18604, 610, 4666, 8747, 540, 13596, 547, 4001, 938, 4761, 1062, 875, 547, 4431, 3533, 952, 2479, 6534, 547, 519, 1483, 3364, 269, 1306, 513, 1267, 267, 950, 5185, 609, 4890, 3968, 267, 938, 1560, 6385, 7472, 8825, 12489, 267, 7303, 19210, 610, 4227, 2589, 3648, 780, 1103, 3932, 267, 2921, 1416, 540, 5520, 262, 1072, 543, 3106, 8309, 547, 3811, 4213, 269, 8617, 2638, 13522, 267, 2922, 5054, 267, 5009, 9716, 267, 5356, 1489, 267, 28043, 3782, 13103, 267, 10128, 16981, 2043, 267, 543, 4180, 6669, 12117, 1404, 2629, 5107, 538, 4509, 513, 14762, 13781, 269, 4197, 543, 7311, 891, 3741, 2038, 593, 5036, 721, 909, 585, 1967, 2429, 15296, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2894, 297, 302, 312, 589, 31178, 312, 2910, 14641, 3036, 12442, 744, 6717, 308, 5183, 3582, 3201, 31178, 13673, 309, 7644, 2177, 16774, 454, 298, 13873, 670, 3326, 2006, 267, 606, 4830, 3782, 19995, 267, 543, 1200, 2319, 5077, 547, 15382, 10933, 338, 593, 27706, 2657, 15961, 267, 799, 2882, 2564, 9584, 543, 519, 3106, 540, 5520, 269, 2701, 1443, 2478, 593, 31287, 2657, 543, 25682, 7341, 543, 1281, 1367, 5646, 18522, 269, 634, 3028, 6035, 6663, 547, 8115, 519, 11097, 2287, 7934, 1063, 3051, 520, 2213, 3782, 543, 1533, 11865, 269, 2701, 849, 1568, 609, 5610, 540, 9124, 538, 519, 9036, 267, 28976, 519, 3006, 2352, 4305, 540, 7598, 27706, 2657, 585, 519, 16108, 563, 4263, 670, 3326, 2006, 10890, 649, 11348, 6000, 538, 8744, 1394, 602, 2123, 2213, 9441, 1416, 609, 1082, 1296, 540, 6791, 543, 1702, 538, 27706, 2657, 2259, 563, 302, 6717, 308, 5183, 3582, 3201, 31178, 590, 27263, 2975, 2464, 454, 30999, 1575, 1049, 2657, 630, 15121, 264, 7896, 454, 25363, 13586, 27846, 2533, 1902, 338, 538, 5520, 685, 8171, 267, 689, 9441, 2564, 338, 547, 9441, 6351, 15961, 630, 292, 4338, 1040, 27846, 18013, 4383, 3656, 10220, 689, 2564, 13178, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 17261, 5209, 1315, 28404, 661, 24351, 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, 8080, 547, 938, 5767, 3184, 782, 827, 4742, 513, 631, 5425, 288, 630, 19859, 7809, 26133, 10298, 21133, 264, 609, 8837, 18218, 256, 901, 13995, 1797, 596, 2811, 606, 4274, 538, 5883, 2780, 1949, 1210, 9786, 2029, 269, 5994, 1373, 2111, 547, 1832, 29601, 593, 513, 2898, 19619, 540, 5904, 693, 2899, 267, 1818, 2386, 789, 2811, 4881, 12347, 543, 7561, 910, 7168, 3579, 267, 1318, 286, 2334, 781, 1018, 713, 3391, 786, 948, 596, 1451, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 1946, 5464, 2200, 568, 865, 2629, 269, 6056, 827, 707, 5172, 3381, 3014, 1107, 723, 596, 2479, 8068, 602, 3006, 621, 8255, 2706, 3728, 543, 5347, 267, 1247, 824, 2053, 621, 4991, 18848, 4445, 543, 3500, 286, 4270, 267, 1175, 899, 602, 3014, 2115, 2834, 2638, 5725, 547, 2226, 922, 1283, 3432, 267, 13763, 849, 991, 3586, 5464, 547, 1685, 741, 1655, 269, 1635, 5329, 3950, 540, 7746, 2534, 267, 649, 666, 5544, 1761, 2152, 2038, 543, 2061, 873, 689, 4929, 8273, 2042, 1524, 519, 1899, 780, 2080, 781, 1141, 1919, 1205, 4277, 269, 1879, 2324, 609, 13763, 538, 519, 6531, 630, 320, 16681, 1259, 540, 6031, 834, 1492, 4950, 19823, 5464, 3587, 1256, 811, 2565, 269, 4595, 3388, 568, 2228, 267, 649, 991, 2027, 2645, 547, 4585, 936, 891, 13763, 269, 1284, 1289, 891, 2645, 834, 2889, 339, 4377, 338, 2437, 799, 1522, 3280, 7294, 267, 855, 2731, 789, 2811, 1175, 2081, 585, 721, 547, 5968, 609, 519, 13763, 543, 5531, 1344, 827, 741, 1072, 269, 898, 781, 2186, 540, 899, 11488, 856, 2370, 3059, 7189, 547, 798, 6296, 2638, 5725, 2439, 3080, 1898, 1523, 950, 7231, 609, 6531, 13763, 568, 1945, 1572, 834, 21353, 601, 1456, 1701, 30239, 1456, 3322, 11287, 3339, 7746, 2623, 543, 2870, 513, 15977, 267, 610, 3328, 267, 540, 922, 2238, 269, 3973, 267, 952, 4376, 8966, 4523, 267, 649, 666, 3533, 2697, 621, 676, 9236, 1699, 28135, 1996, 938, 3964, 15977, 269, 1280, 1383, 267, 4952, 835, 1554, 707, 7874, 8378, 7746, 6238, 6158, 5488, 982, 8912, 282, 7064, 547, 1666, 601, 1456, 267, 649, 9364, 5612, 5469, 519, 1689, 543, 917, 547, 8495, 2417, 780, 5194, 1883, 2460, 540, 5883, 6531, 13763, 568, 4199, 14305, 269, 16514, 3054, 4687, 9162, 609, 2828, 1282, 12424, 1107, 930, 3214, 1404, 609, 7161, 267, 1866, 4782, 31119, 267, 543, 513, 1906, 2648, 11084, 269, 19457, 5849, 3025, 814, 1187, 543, 18864, 7959, 2451, 856, 269, 6684, 267, 782, 20814, 2200, 9425, 1851, 5691, 6191, 18715, 6099, 2773, 585, 1169, 3593, 269, 7743, 569, 12270, 909, 4393, 1379, 267, 3965, 267, 543, 4859, 2337, 1711, 6126, 5561, 945, 2972, 15774, 2833, 2439, 8170, 1576, 267, 1100, 5428, 568, 2347, 1510, 3652, 267, 543, 6531, 7384, 5054, 616, 1100, 9868, 269, 24727, 267, 5773, 267, 543, 1655, 2853, 7291, 6788, 585, 1346, 5883, 13763, 269, 1452, 4808, 3895, 3743, 6165, 267, 7413, 6959, 267, 543, 3565, 547, 513, 2318, 2146, 5790, 269, 11374, 891, 3741, 8952, 938, 13763, 2922, 267, 5150, 267, 543, 7900, 693, 741, 8445, 2702, 780, 1103, 5758, 267, 15980, 707, 631, 5425, 288, 8837, 18218, 13995, 22316, 596, 585, 513, 13858, 4876, 4509, 543, 5355, 2780, 5121, 1210, 9786, 4066, 269, 16424, 2200, 267, 4259, 1666, 3894, 267, 782, 20814, 7221, 20617, 267, 543, 20170, 547, 2872, 4441, 616, 1175, 513, 1906, 1983, 2877, 547, 14133, 538, 713, 2361, 269, 1924, 10544, 707, 14165, 673, 588, 996, 24005, 267, 2322, 593, 707, 19792, 11058, 267, 543, 6443, 721, 607, 649, 2263, 519, 4241, 1158, 540, 7746, 2359, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12507, 13501, 2200, 568, 606, 1271, 10279, 538, 1022, 1604, 267, 855, 621, 779, 1256, 811, 4105, 950, 538, 519, 6531, 269, 14265, 1017, 547, 4180, 519, 6228, 543, 6388, 540, 2500, 2533, 267, 649, 3580, 1491, 513, 6251, 1413, 693, 5464, 543, 5464, 2553, 267, 607, 1134, 607, 519, 1114, 10873, 543, 519, 10661, 540, 1666, 3894, 269, 13028, 875, 547, 17982, 2200, 538, 519, 6531, 1312, 12725, 543, 20716, 267, 875, 547, 21138, 14839, 2200, 547, 14747, 543, 5691, 6191, 267, 543, 875, 547, 8415, 9889, 553, 543, 7182, 547, 2327, 10220, 543, 606, 7850, 6075, 1995, 269, 7053, 267, 4983, 519, 1114, 2409, 543, 2035, 1644, 547, 17306, 519, 2773, 540, 707, 6531, 267, 607, 1134, 607, 519, 4105, 4507, 267, 5773, 267, 543, 1655, 2853, 602, 27774, 519, 6531, 7384, 1604, 563, 10376, 6258, 3086, 15697, 2866, 1576, 568, 1500, 909, 540, 3525, 2737, 630, 20200, 1227, 606, 5662, 538, 3259, 1040, 10738, 1142, 9074, 972, 616, 11762, 630, 20200, 1227, 476, 1428, 268, 1789, 3764, 1142, 264, 543, 4427, 9008, 923, 630, 20200, 1227, 476, 273, 268, 276, 3764, 1142, 1040, 1703, 568, 513, 5403, 11929, 585, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 5425, 288, 8837, 18218, 257, 607, 851, 540, 834, 28035, 1315, 27872, 20929, 1315, 9786, 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, 1262, 16215, 281, 10289, 966, 17448, 21541, 13488, 4373, 8702, 547, 938, 3460, 1394, 538, 942, 256, 901, 1770, 786, 1491, 721, 998, 519, 4241, 1158, 540, 21305, 5721, 2951, 1282, 519, 2038, 476, 736, 628, 2540, 269, 5620, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 5577, 20829, 513, 29413, 9252, 21525, 12067, 267, 21039, 909, 538, 707, 20923, 9660, 286, 2107, 875, 827, 12423, 6456, 16782, 3330, 2025, 16749, 10473, 286, 4270, 267, 1577, 781, 2263, 891, 9035, 1927, 2439, 1262, 4089, 476, 272, 281, 2353, 589, 4580, 519, 4165, 1664, 21541, 256, 12533, 5331, 19480, 5196, 513, 6264, 5721, 609, 4190, 11308, 1286, 17699, 24224, 609, 6946, 4496, 1740, 269, 1411, 1294, 21567, 26892, 575, 548, 5446, 896, 2571, 22917, 680, 697, 1247, 6063, 23439, 16295, 16436, 649, 776, 17631, 269, 901, 3884, 1405, 1175, 1022, 8723, 7154, 540, 6283, 282, 621, 781, 606, 25447, 5721, 256, 4438, 922, 30971, 1485, 267, 10707, 676, 5721, 5921, 7680, 2511, 267, 4313, 267, 543, 25894, 7429, 4376, 2938, 2221, 269, 6762, 569, 21243, 18226, 6517, 6039, 575, 712, 5471, 6980, 593, 5386, 19580, 267, 10483, 676, 25509, 8988, 2264, 543, 12627, 14296, 1107, 3833, 1114, 689, 1178, 25290, 513, 15165, 689, 513, 5068, 12109, 3899, 780, 265, 12244, 15846, 8571, 513, 4605, 540, 707, 5326, 25447, 5721, 31566, 1210, 2326, 2139, 693, 1753, 610, 2228, 2645, 269, 6056, 827, 4778, 267, 3270, 267, 11647, 267, 8654, 267, 543, 1256, 10624, 3688, 585, 519, 13962, 1286, 780, 1262, 4089, 476, 273, 281, 31733, 748, 24020, 853, 725, 12533, 6524, 972, 941, 29032, 267, 14884, 941, 519, 13423, 727, 540, 1279, 26591, 2951, 269, 20727, 4382, 16749, 10473, 1472, 519, 8608, 2968, 32387, 1141, 1004, 10356, 547, 7832, 593, 741, 15322, 610, 19915, 24214, 6202, 547, 6068, 3283, 269, 1452, 11265, 13300, 7604, 1078, 11141, 6272, 10023, 7381, 2781, 559, 902, 267, 1804, 9486, 267, 27763, 31508, 267, 543, 2189, 23234, 269, 1358, 849, 24428, 15945, 9513, 3388, 689, 2835, 547, 9162, 267, 1818, 873, 3501, 18353, 585, 16837, 569, 588, 2651, 338, 780, 265, 12244, 15846, 3194, 4583, 3140, 16749, 10473, 971, 607, 9835, 6239, 12910, 1400, 538, 1715, 3840, 4975, 610, 5507, 781, 853, 623, 4545, 6652, 4139, 269, 3503, 1524, 1614, 4277, 5013, 827, 1142, 6728, 543, 1711, 2022, 11568, 10223, 891, 2934, 780, 1262, 4089, 476, 274, 281, 11814, 1043, 7066, 9778, 13966, 519, 681, 5661, 12533, 2026 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8666, 4170, 13890, 593, 519, 772, 2529, 269, 4972, 540, 3557, 781, 4013, 3896, 269, 12333, 1780, 1636, 6337, 616, 2139, 693, 1585, 6753, 971, 607, 3075, 560, 2803, 543, 2022, 13646, 780, 292, 269, 13488, 12697, 454, 7093, 6768, 513, 9102, 621, 10719, 776, 6029, 3486, 2951, 7389, 1369, 1079, 4374, 630, 27917, 4374, 585, 31705, 3156, 1070, 2059, 609, 29617, 19044, 6166, 725, 543, 824, 4143, 12319, 5885, 707, 7525, 991, 585, 606, 11880, 1243, 1780, 1636, 780, 293, 269, 32237, 10613, 454, 5970, 4712, 11974, 610, 2724, 9753, 1500, 2628, 762, 547, 834, 308, 2529, 269, 4972, 540, 3557, 257, 585, 519, 3617, 11880, 924, 12375, 1759, 593, 519, 1297, 540, 23078, 543, 1826, 4433, 264, 540, 2533, 16761, 269, 4746, 267, 3142, 5094, 8569, 2409, 585, 10343, 6703, 262, 11056, 12375, 543, 1022, 11288, 10997, 3238, 780, 3721, 476, 274, 281, 4427, 2466, 13335, 769, 12287, 454, 8138, 2466, 707, 6192, 3498, 10189, 693, 2901, 513, 11280, 10343, 9744, 610, 6237, 8116, 4470, 593, 707, 23473, 1377, 543, 25046, 1384, 288, 269, 20504, 766, 11120, 1006, 454, 2252, 10707, 18368, 1369, 1079, 547, 1614, 4374, 630, 528, 17596, 513, 4914, 31705, 1369, 2185, 4374, 1070, 3643, 606, 17101, 10343, 9744, 899, 513, 2022, 5604, 267, 5399, 267, 610, 18513, 2679, 269, 21480, 606, 13393, 2228, 952, 2009, 547, 7413, 7227, 2053, 269, 20780, 782, 2838, 6054, 543, 11033, 5018, 1657, 269, 2991, 17265, 543, 16561, 707, 3498, 2326, 267, 789, 786, 581, 4464, 539, 547, 519, 2817, 10426, 1636, 14409, 4741, 585, 2417, 7829, 780, 289, 269, 13636, 10837, 454, 2690, 1272, 11399, 11546, 987, 18002, 18246, 610, 7525, 3486, 2951, 1369, 476, 7761, 3108, 267, 1289, 519, 2817, 10426, 1636, 6176, 4741, 693, 476, 272, 268, 279, 6507, 268, 4366, 278, 268, 28071, 279, 547, 8430, 606, 13393, 693, 513, 6237, 8116, 269, 2142, 5423, 547, 2491, 707, 6381, 8499, 269, 29934, 519, 16516, 5870, 609, 2347, 1957, 1740, 267, 1519, 6169, 540, 2951, 12417, 543, 5885, 2963, 3823, 519, 6595, 3510, 269, 16270, 13170, 267, 4309, 707, 11880, 1243, 1780, 1636, 519, 1482, 1554, 780, 3721, 476, 275, 281, 25397, 2659, 13335, 21073, 454, 5475, 26446, 707, 3498, 267, 6895, 922, 3356, 3842, 519, 772, 2529, 269, 4972, 540, 3557, 781, 6732, 10426, 1636, 21073, 3590, 1210, 707, 2063, 2012, 267, 4266, 540, 4332, 267, 543, 2256, 18967, 1297, 3177, 950, 7311, 269, 17968, 267, 1289, 519, 12747, 4567, 1899, 693, 476, 272, 268, 279, 6507, 268, 4366, 278, 268, 28071, 279, 780, 6962, 912, 3528, 5402, 1739, 713, 3102, 5850, 267, 596, 1058, 1631, 4865, 519, 1702, 2877, 547, 6707, 10536, 606, 11880, 1243, 772, 2529, 269, 1780, 1636, 269, 5457, 602, 5401, 2962, 267, 3919, 267, 543, 3007, 547, 1469, 616, 2629, 3334, 2429, 713, 1184, 269, 15822, 12599, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 606, 30609, 1243, 2475, 10426, 1636, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1004, 723, 1500, 31910, 1206, 585, 14246, 267, 4313, 267, 543, 7499, 4082, 563, 265, 7073, 31910, 1562, 3136, 713, 32618, 2245, 1210, 1312, 1688, 543, 3684, 31910, 1154, 2553, 269, 1284, 786, 1445, 593, 891, 1079, 3119, 2409, 538, 938, 3460, 998, 15429, 1740, 2650, 1424, 780, 4089, 476, 273, 281, 7435, 2372, 559, 1154, 910, 4045, 532, 9839, 338, 3414, 5384, 454, 24801, 15365, 2162, 4427, 7611, 476, 273, 269, 272, 281, 1548, 568, 7435, 2372, 559, 1154, 2496, 265, 7435, 31910, 1154, 3322, 1210, 513, 13549, 543, 8142, 547, 1711, 6263, 267, 1256, 25573, 602, 1921, 6106, 540, 5958, 1927, 269, 901, 4480, 2636, 31910, 1562, 547, 1039, 6946, 3877, 543, 2189, 3270, 547, 741, 960, 780, 2162, 4427, 7611, 476, 273, 269, 273, 281, 4793, 1466, 24439, 17828, 692, 265, 2755, 1688, 31910, 1154, 666, 1491, 3476, 982, 824, 2409, 267, 1082, 31910, 1562, 2972, 519, 12560, 1184, 269, 1635, 2921, 707, 942, 267, 596, 666, 5963, 5660, 1142, 19173, 543, 1102, 2224, 707, 1788, 609, 6266, 540, 570, 9448, 630, 339, 2658, 15962, 1416, 264, 2439, 7078, 281, 5994, 9361, 1472, 519, 3349, 609, 2828, 543, 1920, 1282, 513, 18241, 5162, 10543, 267, 8429, 2059, 2984, 1247, 2324, 593, 513, 3838, 844, 2830, 20196, 781, 519, 9059, 540, 1688, 31910, 1154, 2439, 4089, 476, 274, 281, 10724, 2372, 559, 1154, 910, 16871, 5303, 2060, 27065, 454, 5785, 28598, 2162, 4427, 7611, 476, 274, 269, 272, 281, 4325, 9037, 10341, 692, 265, 4635, 513, 22927, 3684, 13071, 596, 3382, 3677, 2127, 3533, 543, 7561, 269, 3509, 2413, 6191, 2097, 9280, 609, 2934, 4481, 2966, 585, 31910, 1562, 267, 971, 607, 28253, 11250, 267, 7463, 3952, 267, 543, 16560, 25573, 780, 2162, 4427, 7611, 476, 274, 269, 273, 281, 21344, 28673, 543, 16743, 692, 265, 4014, 3684, 31910, 1154, 949, 3100, 1447, 2757, 267, 3314, 602, 2029, 2337, 721, 8190, 543, 2671, 31910, 1154, 1983, 609, 1007, 5481, 269, 26157, 2025, 8996, 7326, 609, 2413, 2645, 5932, 10875, 2164, 2439, 7078, 281, 16514, 8888, 707, 1360, 1378, 844, 2830, 4806, 6273, 676, 707, 5172, 1433, 610, 3381, 3014, 1915, 1765, 6533, 8744, 621, 547, 1272, 609, 7524, 4778, 543, 12050, 5546, 2813, 1210, 513, 22927, 3684, 2439, 6962, 281, 2659, 2372, 559, 1154, 23874, 23548, 1231, 2336, 14343, 7042, 3086, 602, 649, 4312, 8268, 519, 9238, 540, 1688, 543, 3684, 31910, 1154, 267, 1205, 9599, 827, 4358, 707, 1360, 1378, 31910, 1154, 7045, 256, 6787, 596, 4782, 23646, 1524, 609, 1688, 31910, 1154, 610, 3432, 532, 909, 609, 3684, 31910, 1154, 267, 3314, 602, 972, 781, 1100, 1318, 610, 4636, 1259, 547, 2769, 3054, 21176, 269, 1924, 5531, 707, 2326, 267, 9784, 707, 6418, 7376, 267, 543, 1577, 519, 19173, 532, 2253, 256, 8414, 31910, 1154, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5226, 559, 1154, 568, 811, 982, 1175, 22927, 17234, 1927, 269, 898, 779, 513, 15851, 1148, 602, 814, 11542, 519, 1449, 540, 942, 543, 5170, 547, 993, 10270, 1004, 609, 922, 5898, 543, 15006, 269, 1809, 950, 621, 2501, 547, 31910, 1154, 267, 519, 7521, 1869, 986, 2471, 593, 1107, 568, 621, 1732, 547, 844, 2830, 676, 1688, 610, 3684, 286, 1280, 930, 267, 621, 779, 513, 2339, 540, 2245, 267, 540, 8220, 609, 519, 2250, 543, 8497, 513, 9371, 269, 1280, 1866, 267, 621, 779, 513, 2243, 540, 13418, 267, 540, 1818, 1919, 4443, 543, 5488, 269, 1809, 585, 803, 267, 621, 779, 513, 2339, 540, 2295, 543, 9997, 1107, 540, 26311, 707, 6612, 543, 2648, 883, 1169, 19173, 267, 540, 2870, 1945, 602, 25186, 519, 8723, 269, 15012, 803, 607, 649, 2263, 519, 1158, 540, 31910, 1154, 543, 2119, 547, 2626, 713, 2085, 6040, 2243, 1107, 799, 568, 1732, 888, 272, 269, 634, 6520, 14114, 671, 13891, 622, 281, 7435, 610, 10724, 2372, 559, 1154, 1107, 6904, 1772, 32493, 888, 5226, 559, 1154, 568, 606, 1148, 1106, 602, 814, 1044, 5293, 1524, 585, 5481, 269, 898, 779, 513, 4739, 602, 3340, 9639, 267, 5578, 267, 543, 513, 2898, 2603, 540, 5876, 269, 1703, 616, 1079, 2409, 1031, 585, 31910, 1154, 281, 7435, 31910, 1154, 543, 3684, 31910, 1154, 269, 3962, 1505, 814, 922, 513, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 595, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 2372, 559, 1206, 1299, 2372, 559, 1154, 1315, 26629, 1424, 9828, 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, 4495, 2390, 513, 942, 538, 519, 627, 15501, 673, 4884, 540, 717, 714, 28485, 663, 267, 972, 5030, 1079, 1655, 2828, 3957, 27385, 519, 31584, 543, 5981, 519, 18023, 528, 269, 1358, 6068, 2870, 1007, 19269, 1927, 267, 2141, 20678, 547, 1118, 2386, 789, 941, 1312, 2922, 543, 6325, 269, 2290, 1554, 267, 1247, 2324, 593, 741, 5767, 8798, 267, 513, 2706, 3728, 10760, 1085, 2393, 518, 267, 789, 7691, 789, 2877, 547, 1451, 811, 827, 1587, 3106, 543, 10727, 6042, 780, 257, 20756, 27385, 2437, 4280, 5981, 267, 834, 4777, 596, 1589, 938, 10760, 1085, 2393, 518, 2115, 1022, 2027, 24501, 1354, 649, 666, 6133, 621, 12482, 306, 20632, 14452, 267, 834, 11039, 267, 594, 4312, 4862, 602, 1114, 2477, 723, 1585, 3652, 585, 1587, 3106, 543, 10727, 269, 2368, 4025, 1522, 2154, 24501, 899, 18869, 476, 12010, 272, 267, 772, 299, 267, 9460, 267, 610, 674, 6717, 3010, 20694, 729, 7138, 1194, 269, 834, 1432, 798, 1346, 5022, 1256, 1611, 286, 1656, 875, 798, 789, 1832, 1004, 2922, 12482, 2414, 948, 5981, 1174, 267, 27385, 5189, 1864, 547, 1010, 3659, 267, 3220, 269, 12501, 320, 16631, 267, 606, 4274, 538, 3106, 543, 10727, 6042, 269, 8625, 267, 789, 4121, 602, 1142, 1305, 540, 3355, 338, 11542, 585, 513, 1114, 3919, 5059, 593, 4180, 2298, 543, 3106, 538, 2472, 1384, 265, 18869, 476, 12010, 272, 281, 589, 3044, 2813, 676, 519, 4139, 9257, 585, 9208, 1436, 602, 2337, 4213, 6961, 741, 2702, 547, 9846, 1683, 1164, 7779, 2472, 543, 2533, 563, 265, 772, 299, 630, 15152, 32392, 8534, 14898, 2567, 1323, 1977, 3919, 6131, 547, 4152, 267, 8524, 532, 267, 2912, 1746, 267, 5909, 4328, 267, 543, 7421, 2472, 585, 3106, 4220, 563, 265, 9460, 630, 3519, 845, 527, 2946, 16402, 335, 2946, 2940, 2567, 589, 6003, 2838, 585, 1978, 5370, 4421, 538, 519, 3864, 9483, 9351, 10834, 10220, 609, 1072, 267, 3106, 267, 543, 2825, 4027, 4031, 563, 265, 674, 6717, 630, 293, 3985, 18058, 8189, 2567, 1323, 8116, 3743, 585, 15725, 2792, 4066, 538, 519, 2136, 2276, 267, 1519, 5925, 267, 8613, 267, 5911, 267, 9682, 267, 543, 10814, 538, 782, 476, 2004, 2829, 267, 519, 10588, 540, 12052, 543, 772, 2529, 269, 11182, 780, 2750, 322, 1243, 547, 2671, 1018, 789, 1185, 4121, 267, 27385, 543, 5981, 4682, 1394, 547, 960, 593, 741, 10760, 1085, 2393, 518, 267, 1818, 2386, 547, 1246, 1169, 4341, 543, 7939, 269, 2991, 4374, 540, 2182, 960, 267, 789, 6368, 8737, 256, 2060, 1390, 24736, 267, 789, 4843, 741, 5137, 547, 519, 4961, 540, 717, 714, 28485, 663, 267, 24584, 1750, 619, 543, 10761, 269, 1717, 267, 1945, 6397, 5949, 1765, 333, 984, 1328, 4941, 547, 4444, 621, 780, 30342, 17204, 267, 789, 14059, 3220, 269, 12501, 320, 16631, 2899, 1586, 269, 901, 942, 267, 646, 6045, 602, 3006, 1256, 952, 596, 2743, 782, 519, 2556, 3106, 543, 10727, 6042, 267, 707, 1587, 1869, 949, 711, 8011, 1317, 1967, 5673, 593, 1082, 824, 2188, 971, 607, 2344, 3747, 267, 6735, 267, 543, 7082, 7375, 269, 4014, 25922, 267, 27385, 543, 5981, 6956, 519, 2956, 540, 3257, 1919, 1318, 267, 1256, 950, 7525, 12587, 4769, 1405, 1570, 1125, 269, 5020, 267, 1310, 782, 267, 3884, 1405, 1152, 827, 8236, 1967, 282, 621, 781, 849, 827, 1565, 3407, 4245, 2059, 519, 1259, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 6701, 972, 1808, 24501, 610, 4441, 602, 717, 2714, 12340, 321, 781, 2472, 1590, 15666, 547, 585, 3106, 543, 10727, 888, 296, 1810, 1405, 917, 4481, 827, 575, 2714, 12340, 321, 781, 2472, 13995, 4170, 269, 2705, 267, 538, 2489, 267, 1587, 3106, 543, 10727, 6042, 4268, 4470, 593, 519, 2197, 1141, 519, 2472, 786, 581, 4421, 269, 9755, 949, 991, 547, 16783, 609, 1114, 4441, 543, 24501, 547, 2327, 602, 741, 2472, 616, 2922, 543, 6325, 585, 6800, 269, 930, 1455, 24501, 585, 3106, 543, 10727, 1331, 568, 334, 476, 12010, 272, 267, 12804, 630, 8974, 32392, 20682, 1070, 2781, 630, 935, 845, 527, 2946, 20789, 335, 2946, 26413, 1070, 543, 535, 764, 630, 325, 3985, 10618, 10243, 1040, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8702, 547, 938, 1576, 1770, 782, 827, 1620, 875, 16895, 2268, 1004, 781, 4555, 267, 4606, 267, 543, 5615, 256, 901, 7936, 540, 6530, 568, 1572, 834, 17595, 6248, 338, 1701, 5620, 596, 2479, 9289, 875, 3744, 4137, 856, 952, 2576, 568, 6126, 267, 14221, 267, 610, 5100, 286, 4270, 267, 789, 946, 2027, 4255, 543, 2645, 2966, 1175, 585, 602, 3483, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5331, 596, 1616, 547, 1265, 856, 952, 707, 2828, 616, 18901, 540, 20151, 269, 1411, 1522, 2307, 873, 547, 2557, 741, 4250, 593, 513, 4336, 540, 476, 272, 547, 476, 1015, 269, 2334, 781, 835, 2241, 1259, 540, 7893, 1945, 5626, 1107, 899, 4250, 269, 1809, 1018, 952, 596, 4941, 547, 1711, 513, 811, 4977, 1449, 286, 589, 2618, 6248, 1014, 630, 320, 1268, 945, 2090, 2618, 6248, 338, 264, 1131, 1374, 513, 18102, 4904, 609, 2055, 4481, 827, 20151, 269, 1358, 1131, 5402, 3442, 1142, 2243, 547, 1118, 2386, 621, 3800, 4010, 1018, 789, 1616, 547, 1353, 780, 3086, 1577, 781, 1589, 827, 4987, 269, 1215, 666, 649, 2268, 875, 5100, 2576, 568, 286, 2290, 1134, 8153, 1449, 568, 519, 11106, 2372, 582, 1304, 267, 610, 21842, 1449, 269, 1452, 4255, 2708, 1585, 1983, 971, 607, 1966, 9010, 267, 3965, 267, 543, 4806, 6284, 269, 1635, 4946, 909, 782, 519, 2798, 12236, 593, 1114, 2694, 540, 519, 1449, 267, 16895, 1205, 606, 2949, 6060, 799, 2337, 873, 1174, 1141, 513, 1268, 6763, 6457, 1302, 3379, 547, 1866, 780, 3719, 7227, 267, 2870, 891, 4255, 3884, 1405, 2653, 256, 6969, 1210, 1022, 1007, 1449, 267, 3173, 1590, 1101, 2638, 922, 10727, 543, 14496, 269, 4039, 6636, 1797, 602, 952, 596, 3576, 519, 1482, 1449, 1586, 267, 596, 1131, 2693, 1205, 2147, 2164, 269, 4406, 7190, 4016, 547, 2436, 519, 1449, 2965, 3800, 1018, 621, 6811, 547, 2268, 269, 1280, 3236, 267, 4952, 513, 2979, 1449, 19101, 547, 2268, 2542, 8223, 282, 5693, 267, 602, 9327, 1405, 581, 4570, 1317, 2979, 2055, 1810, 1405, 948, 721, 1174, 2576, 781, 2542, 5759, 780, 2414, 9414, 713, 267, 2015, 1079, 19858, 1053, 3957, 5981, 543, 16092, 269, 1403, 5981, 8464, 1164, 593, 1312, 13290, 540, 513, 1686, 7688, 267, 1287, 519, 7688, 2982, 1434, 10727, 269, 3767, 15475, 16092, 4991, 513, 1454, 2539, 6060, 593, 519, 1686, 981, 982, 593, 741, 6780, 2429, 519, 19496, 269, 769, 602, 2013, 267, 519, 981, 949, 3668, 14496, 2094, 621, 3085, 1405, 5447, 609, 741, 5812, 2773, 538, 1362, 1740, 780, 1103, 5758, 267, 2618, 6248 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4729, 17436, 1205, 1175, 13881, 2476, 269, 1924, 616, 685, 660, 596, 18822, 286, 1656, 875, 798, 596, 798, 621, 286, 1773, 4868, 538, 519, 15945, 855, 7168, 2386, 1210, 6464, 563, 14188, 9767, 1360, 1454, 585, 519, 8748, 10959, 2856, 799, 786, 581, 1454, 4443, 538, 1169, 1259, 13141, 331, 24851, 3843, 547, 1832, 513, 2786, 1899, 269, 594, 949, 3801, 547, 1118, 835, 689, 519, 3109, 5068, 911, 903, 267, 5969, 2476, 519, 967, 5034, 10580, 5497, 547, 3180, 519, 17428, 563, 11321, 329, 12929, 349, 17495, 547, 4431, 607, 4166, 607, 594, 1224, 707, 2232, 538, 519, 4639, 11068, 4133, 256, 3733, 589, 2863, 538, 918, 1342, 1069, 514, 3122, 814, 513, 32154, 4677, 267, 543, 1352, 814, 5018, 2961, 8527, 26850, 269, 3502, 2386, 875, 1352, 9388, 609, 621, 267, 855, 594, 786, 2307, 269, 594, 2661, 538, 6239, 6997, 30786, 267, 4516, 267, 543, 594, 666, 2671, 1018, 1568, 585, 803, 912, 263, 272, 264, 25109, 577, 267, 22890, 267, 22890, 1284, 1205, 19599, 3905, 4832, 5210, 1934, 267, 543, 22890, 2337, 2061, 1312, 8781, 543, 15018, 856, 7498, 263, 273, 264, 8381, 12891, 269, 2961, 12783, 2648, 621, 7498, 263, 274, 264, 3619, 2653, 593, 519, 22853, 349, 8364, 12783, 899, 621, 2241, 454, 263, 275, 264, 20509, 338, 540, 11003, 5249, 538, 1354, 596, 2030, 454, 12552, 585, 891, 1390, 2093, 269, 3733, 17436, 4769, 1406, 1332, 782, 4832, 269, 1879, 594, 4682, 547, 7485, 909, 930, 4666, 2371, 267, 594, 1336, 476, 274, 17436, 3395, 269, 7316, 1705, 789, 2097, 689, 286, 594, 4076, 2760, 1185, 9939, 609, 17436, 538, 715, 661, 14151, 269, 594, 6557, 9090, 3843, 519, 3276, 331, 777, 1985, 1032, 563, 296, 993, 513, 1007, 32529, 855, 723, 1336, 952, 594, 1216, 1134, 543, 3382, 519, 1554, 594, 2030, 1250, 17436, 609, 513, 4062, 540, 21312, 4371, 1524, 676, 7725, 594, 1810, 1406, 723, 547, 5855, 827, 14450, 269, 1358, 1491, 476, 1691, 2395, 547, 10351, 3729, 543, 865, 1310, 476, 1691, 2395, 1055, 2097, 1250, 21312, 543, 1369, 513, 1554, 789, 616, 17708, 1154, 2370, 24827, 540, 17436, 269, 898, 1568, 4898, 2685, 585, 16163, 333, 2354, 607, 1134, 563, 15124, 2376, 593, 9870, 17436, 269, 594, 6659, 513, 2887, 7693, 630, 296, 2661, 538, 18518, 267, 7330, 264, 12630, 873, 538, 5181, 476, 1001, 274, 2507, 663, 1813, 547, 513, 6632, 2887, 267, 789, 8057, 1360, 1134, 269, 594, 15273, 3481, 873, 609, 12450, 269, 9603, 547, 942, 543, 21173, 4365, 267, 594, 4682, 856, 547, 2007, 873, 519, 2034, 15964, 540, 5412, 269, 594, 1185, 513, 5458, 7693, 267, 789, 941, 1360, 6653, 543, 1317, 789, 8057, 1134, 1310, 938, 15470, 267, 649, 4769, 1406, 723, 1022, 2042, 609, 10860, 269, 594, 27574, 873, 538, 533, 842, 30660, 267, 543, 2322, 930, 538, 5070, 538, 513, 533, 841, 543, 1832, 873, 538, 519, 25880, 2507, 16269, 616, 1175, 899, 4195, 950, 596, 979, 547, 1205, 873, 856, 269, 2353, 585, 519, 2648, 540, 17436, 2507, 10193, 267, 594, 6836, 519, 13711, 17436, 585, 519, 1101, 942, 907, 16269, 941, 513, 5458, 5734, 2336, 12552, 585, 519, 9133, 594, 2661, 538, 14889, 543, 3100, 547, 723, 8373, 609, 17436, 2507, 16269, 2141, 6492, 899, 13897, 256, 594, 993, 2469, 547, 2119, 513, 3735, 4005, 7693, 269, 1879, 596, 1031, 519, 5070, 538, 513, 533, 841, 2507, 529, 602, 607, 2241, 607, 621, 4992, 286, 16634, 1584, 5070, 538, 513, 19943, 543, 2322, 17436, 538, 519, 5070, 286, 594, 3548, 17436, 3232, 543, 1039, 873, 547, 513, 2603, 540, 1250, 6980, 865, 547, 723, 17436, 593, 1688, 602, 616, 899, 4195, 1131, 581, 15813, 256, 8729, 2336, 27094, 519, 2856, 540, 1210, 519, 10959, 585, 17436, 269, 4746, 519, 2357, 6193, 592, 924, 543, 3276, 331, 777, 3280, 899, 1175, 519, 1318, 3364, 269, 594, 723, 1185, 513, 4677, 585, 476, 277, 1296, 543, 594, 2141, 2030, 17436, 543, 789, 715, 14110, 2207, 2179, 547, 1454, 269, 901, 1032, 594, 723, 513, 1007, 4677, 263, 1007, 2777, 264, 543, 723, 3037, 7318, 543, 993, 4712, 547, 6368, 1332, 930, 17436, 256, 8729, 585, 519, 1434, 5796, 2336, 1607, 568, 1250, 1101, 3801, 693, 3395, 17436, 543, 782, 8604, 547, 581, 2469, 1134, 269, 594, 1705, 930, 649, 5338, 2063, 3018, 543, 835, 519, 31577, 16714, 814, 782, 27315, 1540, 269, 2052, 596, 2995, 803, 952, 789, 616, 4666, 610, 568, 972, 1945, 594, 666, 798, 547, 4194, 519, 1966, 888, 574, 3257, 4009, 3723, 12202, 609, 32154, 3037, 543, 1256, 14450, 269, 3776, 17436, 1185, 32154, 25568, 855, 519, 5072, 941, 2110, 267, 6094, 543, 1185, 5679, 8765, 25449, 344, 5679, 10849, 519, 2450, 540, 17112, 782, 936, 873, 269, 570, 16556, 15265, 543, 941, 899, 521, 690, 4445, 267, 29762, 9403, 269, 1548, 5949, 888, 296, 2661, 538, 12548, 907, 3602, 649, 723, 3579, 17334, 269, 1256, 4571, 4832, 267, 519, 17334, 616, 4571, 476, 2004, 779, 7498, 296, 1332, 17436, 538, 476, 273, 2148, 14614, 14569, 268, 2759, 1175, 1657, 519, 6003, 267, 22019, 1055, 6003, 267, 1039, 476, 275, 910, 276, 9475, 538, 5377, 267, 543, 2030, 538, 9343, 269, 1547, 634, 3037, 267, 2357, 6193, 592, 924, 543, 29238, 3037, 15301, 711, 6992, 1242, 264, 594, 4076, 849, 2944, 891, 538, 1804, 5068, 8685, 338, 267, 899, 585, 8285, 4054, 269, 31418, 1512, 547, 7556, 267, 594, 1616, 547, 2119, 513, 6704, 12450, 1524, 1647, 609, 9475, 5309, 3481, 267, 543, 20177, 5377, 269, 594, 723, 513, 3659, 945, 4991, 1390, 2164, 713, 1259, 563, 277, 268, 279, 829, 11480, 267, 2760, 723, 1932, 1082, 267, 594, 11525, 798, 476, 2568, 14569, 610, 811, 513, 1032, 563, 32306, 513, 31400, 454, 28874, 932, 3999, 779, 14840, 454, 2171, 1832, 938, 21075, 740, 6954, 267, 711, 16462, 547, 6133, 9358, 630, 712, 3988, 543, 19700, 264, 856, 269, 1284, 3494, 538, 2048, 19368, 585, 10025, 8730, 952, 596, 1205, 930, 1871, 689, 1945, 649, 3132, 267, 2015, 4758, 930, 1871, 538, 2132, 998, 513, 10865, 20478, 563, 7775, 1118, 513, 835, 6066, 21856, 269, 5900, 778, 513, 4063, 547, 1022, 21856, 936, 1269, 2004, 543, 649, 786, 1224, 621, 593, 519, 15264, 563, 20091, 1299, 654, 10248, 454, 4537, 641, 998, 891, 6402, 543, 594, 1205, 513, 1906, 21347, 1142, 942, 269, 898, 781, 711, 1454, 267, 855, 621, 2636, 803, 547, 4444, 513, 1007, 3434, 1504, 610, 1007, 12202, 1433, 1169, 7008, 3275, 269, 594, 5660, 707, 1489, 2336, 1607, 568, 513, 3232, 4760, 540, 1250, 3646, 547, 11349, 513, 811, 2241, 1272, 267, 998, 2199, 4189, 267, 12202, 543, 865, 1082, 824, 1919, 269, 1284, 1031, 547, 2661, 538, 513, 1507, 28180, 8378, 11882, 855, 6410, 547, 476, 14631, 14143, 538, 23068, 267, 19051, 538, 476, 1001, 273, 563, 277, 4521, 333, 5516, 18771, 338, 585, 2659, 12096, 962, 731, 454, 16449, 15989, 1416, 4648, 267, 519, 1655, 1259, 547, 3035, 5394, 267, 3039, 543, 2635, 15989, 538, 5614, 568, 547, 2285, 513, 1134, 2389, 574, 539, 1416, 538, 15489, 910, 538, 824, 1913, 267, 1318, 1631, 269, 1717, 267, 2687, 547, 8845, 2605, 603, 267, 16628, 540, 4521, 333, 16362, 267, 513, 15989, 1416, 2754, 609, 811, 982, 476, 1220, 23471, 2478, 18487, 267, 1082, 21427, 1118, 519, 1482, 2596, 9073, 1354, 789, 2887, 18069, 543, 1287, 2014, 1732, 2773, 540, 741, 15989, 269, 654, 1180, 619, 269, 1547, 594, 4898, 811, 269, 3371, 568, 2605, 603, 781, 5722, 9912, 1982, 547, 1205, 513, 8799, 15989, 1985, 1032, 563, 272, 269, 17179, 519, 3762, 563, 288, 24095, 540, 10477, 15489, 3762, 666, 1413, 8799, 543, 666, 581, 1187, 547, 1404, 267, 855, 789, 616, 711, 1434, 585, 707, 15989, 269, 2349, 4169, 1769, 543, 20637, 7509, 267, 5732, 14603, 18116, 585, 796, 331, 13806, 6371, 9944, 269, 1924, 607, 519, 3762, 2887, 267, 9514, 610, 986, 651, 873, 607, 1419, 607, 2009, 269, 4634, 1310, 519, 4054, 2611, 11953, 267, 3136, 547, 4894, 519, 15174, 540, 519, 2842, 269, 1403, 596, 1810, 1405, 798, 713, 267, 2097, 593, 519, 6371, 693, 519, 5377, 540, 713, 31922, 267, 519, 4232, 1154, 1319, 786, 581, 4666, 563, 273, 269, 15566, 5969, 267, 855, 547, 519, 2953, 4463, 563, 10673, 1405, 2322, 602, 544, 1077, 2476, 2943, 269, 634, 6371, 5170, 547, 1332, 2394, 519, 1101, 2182, 15470, 543, 4061, 3340, 2834, 11912, 547, 1832, 621, 23679, 476, 273, 547, 476, 274, 6279, 1164, 269, 1403, 596, 1577, 621, 3251, 1932, 1279, 267, 621, 3587, 20585, 543, 7925, 547, 13271, 971, 607, 6777, 9044, 269, 28981, 6371, 1932, 2110, 568, 8449, 3983, 1317, 621, 2110, 839, 519, 3597, 1062, 910, 519, 3597, 3178, 568, 14354, 547, 519, 5969, 4463, 543, 11151, 519, 2702, 540, 519, 15989, 547, 16641, 4411, 543, 3819, 1145, 538, 5162, 269, 8617, 544, 12976, 849, 4991, 7759, 540, 26240, 5652, 3762, 267, 11912, 873, 543, 3762, 3297, 513, 3037, 10276, 327, 3496, 22890, 563, 274, 269, 15566, 14450, 563, 293, 337, 603, 3081, 1004, 4043, 547, 3247, 14450, 538, 519, 2887, 607, 519, 4365, 4991, 4411, 269, 30038, 1358, 1589, 2470, 786, 798, 1919, 585, 873, 267, 610, 646, 3081, 269, 2755, 621, 568, 3020, 602, 972, 568, 811, 4764, 267, 811, 632, 342, 543, 1447, 21381, 693, 713, 942, 540, 1032, 267, 713, 949, 711, 581, 2614, 547, 1832, 519, 6371, 5072, 30861, 543, 2635, 538, 519, 5162, 269, 1403, 707, 15989, 1281, 711, 4309, 693, 2547, 606, 10759, 540, 1216, 829, 3018, 910, 519, 1655, 1259, 547, 1246, 513, 2241, 4764, 15378, 910, 1287, 2196, 519, 20057, 6840, 610, 12555, 1062, 2394, 519, 1439, 540, 5239, 269, 19402, 1287, 596, 786, 1616, 547, 4894, 554, 4680, 543, 23574, 519, 12555, 1062, 547, 2061, 13792, 12992, 543, 11690, 338, 563, 275, 269, 10753, 4923, 519, 3037, 563, 6097, 547, 2605, 603, 267, 2834, 14910, 910, 1169, 1906, 1296, 267, 11151, 519, 3037, 689, 1373, 11741, 539, 543, 4988, 609, 602, 577, 267, 543, 513, 5394, 4494, 540, 5072, 267, 11710, 543, 11935, 602, 11151, 1216, 267, 5135, 543, 5567, 689, 8757, 519, 3037, 269, 589, 4295, 7098, 1807, 2953, 338, 1312, 2042, 676, 17656, 9475, 538, 602, 8559, 543, 17444, 519, 3618, 11690, 909, 269, 834, 2005, 568, 513, 1434, 2856, 547, 5887, 30968, 513, 15989, 1175, 1354, 22289, 2437, 3081, 2605, 603, 269, 834, 5472, 891, 9475, 538, 707, 15989, 786, 1450, 519, 23226, 547, 3914, 519, 5072, 602, 621, 666, 798, 1655, 4799, 276, 269, 5410, 13226, 563, 9617, 607, 6371, 5072, 991, 1216, 547, 2063, 538, 5162, 267, 789, 849, 4324, 689, 513, 8929, 540, 2030, 14836, 602, 2149, 519, 5072, 1996, 15470, 543, 2285, 1648, 547, 519, 2898, 2030, 547, 5614, 1394, 538, 519, 5614, 269, 1452, 14836, 616, 3812, 676, 28060, 267, 799, 568, 3812, 676, 519, 6371, 538, 11606, 950, 972, 568, 2614, 9436, 269, 2605, 603, 4061, 15565, 513, 3500, 5305, 540, 519, 3500, 5305, 30704, 13226, 476, 2190, 268, 271, 268, 1015, 269, 634, 5515, 5815, 519, 2597, 2600, 676, 2597, 540, 9436, 267, 16903, 543, 11379, 267, 6606, 269, 8000, 9914, 568, 849, 1271, 1317, 621, 2337, 3597, 2208, 267, 2068, 4027, 267, 10980, 10892, 543, 4411, 4187, 269, 630, 288, 3037, 1449, 666, 2995, 596, 875, 1454, 540, 707, 15989, 2731, 2115, 621, 4700, 1717, 267, 581, 6297, 827, 10825, 18168, 2282, 519, 25825, 282, 789, 616, 7925, 547, 12526, 689, 519, 2034, 6908, 269, 634, 23420, 16362, 781, 2754, 3609, 568, 547, 1683, 513, 476, 276, 2173, 2678, 17280, 16382, 972, 568, 1216, 563, 277, 269, 23268, 3262, 563, 28317, 10053, 15989, 849, 2488, 1434, 4027, 1996, 18047, 267, 2605, 3081, 2605, 603, 269, 898, 568, 4061, 1271, 547, 8524, 4540, 1876, 985, 269, 901, 711, 1152, 25361, 5386, 25859, 610, 11953, 25859, 267, 855, 849, 2636, 596, 547, 1205, 547, 917, 519, 2063, 267, 14463, 267, 10980, 15033, 6371, 269, 634, 1655, 942, 547, 2887, 568, 15489, 267, 1317, 519, 2666, 568, 1869, 3636, 267, 519, 11195, 568, 2362, 267, 519, 17334, 616, 3579, 543, 519, 3141, 568, 711, 602, 3905, 1282, 519, 1554, 269, 1809, 1256, 1287, 267, 968, 1478, 5498, 5338, 568, 835, 540, 519, 1034, 4101, 15989, 1416, 6009, 267, 2605, 3081, 2605, 603, 269, 1411, 3112, 3274, 5305, 519, 5452, 593, 513, 15989, 543, 7227, 585, 873, 547, 7227, 269, 1358 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 634, 9839, 19874, 17718, 267, 23583, 24023, 779, 634, 27258, 543, 19162, 2037, 2431, 779, 14937, 13702, 563, 763, 1433, 5654, 693, 4249, 607, 789, 616, 3812, 538, 519, 16222, 543, 27828, 607, 621, 568, 21892, 593, 519, 3942, 269, 898, 568, 530, 686, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19010, 24717, 1315, 8241, 1299, 7909, 1014, 1315, 7087, 8241, 20989, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 1634, 607, 22423, 1565, 267, 799, 568, 513, 1883, 5057, 540, 590, 6311, 269, 3958, 267, 590, 6311, 5267, 602, 1004, 1451, 1655, 950, 789, 616, 8362, 7722, 538, 519, 1565, 1184, 269, 901, 1797, 602, 1004, 991, 547, 581, 8362, 3238, 538, 741, 1565, 267, 3079, 540, 1780, 1947, 21716, 1344, 269, 901, 666, 581, 2944, 998, 3946, 6823, 2238, 543, 2238, 602, 4125, 1966, 9010, 267, 2565, 3206, 267, 543, 5698, 269, 7053, 267, 590, 6311, 849, 2829, 602, 1004, 1451, 1655, 950, 519, 1604, 568, 11215, 543, 8716, 563, 1607, 1797, 602, 519, 1604, 1058, 1683, 519, 15226, 609, 3255, 547, 3111, 1510, 4250, 540, 12343, 267, 543, 1058, 849, 1683, 2318, 15699, 585, 18454, 269, 901, 1826, 540, 1565, 1604, 568, 6225, 585, 1312, 519, 15226, 543, 519, 14357, 267, 607, 621, 5932, 513, 2318, 1565, 5790, 543, 7512, 3742, 7589, 454, 25332, 969, 1049, 1565, 267, 6382, 1634, 607, 1514, 1565, 3069, 267, 568, 513, 5626, 1523, 602, 5267, 602, 2043, 666, 1451, 1007, 5615, 267, 8456, 267, 543, 2093, 676, 11287, 1866, 269, 901, 1826, 540, 1565, 4386, 998, 32649, 543, 9781, 540, 1866, 685, 5615, 267, 8456, 267, 543, 2093, 269, 898, 568, 513, 3532, 1907, 538, 1620, 875, 1565, 4386, 543, 666, 581, 1031, 547, 1174, 1082, 3344, 540, 1480, 2623, 269, 3414, 22423, 1565, 267, 2043, 666, 2744, 1007, 1983, 267, 1702, 267, 543, 5615, 1510, 2348, 547, 723, 1022, 1463, 2833, 269, 901, 1826, 540, 1565, 814, 1044, 1031, 547, 2491, 971, 9259, 607, 1893, 11601, 267, 5837, 1646, 267, 543, 1514, 2623, 563, 12892, 15465, 7869, 23083, 602, 1565, 568, 513, 6024, 1184, 602, 2164, 689, 519, 5872, 1063, 938, 1604, 267, 2623, 543, 17133, 269, 901, 3069, 5267, 602, 2623, 568, 6766, 676, 513, 4999, 540, 2123, 2188, 267, 5007, 15128, 543, 519, 2623, 540, 1866, 269, 898, 849, 11363, 519, 2956, 540, 22423, 1565, 543, 9781, 538, 519, 1565, 1184, 269, 4340, 547, 713, 3069, 267, 649, 1451, 676, 11287, 519, 2623, 540, 1866, 543, 1287, 708, 23550, 621, 269, 1635, 3257, 865, 267, 649, 10536, 1007, 1983, 543, 1702, 799, 666, 1287, 581, 1031, 547, 3337, 938, 1378, 2623, 563, 1607, 1184, 540, 1565, 568, 606, 5571, 4783, 602, 2337, 721, 547, 1020, 938, 1378, 6208, 543, 4978, 563, 12892, 15465, 7869, 29102, 602, 1565, 4386, 998, 513, 6422, 543, 23483, 1184, 1063, 606, 1367, 779, 5042, 267, 8965, 267, 543, 2825, 2188, 269, 901, 1184, 3322, 8362, 11287, 267, 16208, 267, 543, 1620, 519, 2609, 540, 519, 1604, 267, 543, 1287, 9001, 1346, 2609, 547, 3337, 2623, 269, 901, 3069, 11363, 519, 1379, 540, 1582, 30797, 267, 610, 606, 1367, 779, 3661, 538, 741, 2702, 547, 8011, 267, 607, 513, 4295, 3815, 538, 1565, 269, 3414, 713, 3661, 267, 606, 1367, 568, 811, 2693, 547, 1491, 593, 2591, 267, 6414, 538, 519, 3068, 540, 23434, 267, 543, 6038, 8011, 269, 4475, 267, 1620, 875, 547, 11349, 1582, 30797, 568, 14063, 538, 4543, 2043, 11694, 741, 1565, 1761, 563, 1103, 3932, 267, 1565, 4386, 2687, 547, 1514, 5042, 3069, 676, 11287, 267, 708, 23550, 267, 543, 17923, 2623, 269, 901, 4523, 998, 519, 1614, 17574, 5872, 1063, 1604, 267, 2623, 267, 543, 2123, 4162, 267, 799, 568, 519, 1883, 547, 1620, 543, 7598, 2500, 1565, 2994, 269, 4935, 267, 1620, 1514, 5042, 3069, 568, 1898, 585, 4896, 945, 16858, 547, 11694, 741, 1565, 1761, 3034, 1432, 568, 519, 1909, 540, 8343, 538, 1514, 5042, 3069, 888, 6097, 547, 1514, 5042, 3069, 267, 8343, 568, 513, 1883, 5057, 540, 1565, 267, 607, 2043, 1451, 676, 11287, 519, 2623, 540, 1866, 543, 519, 4539, 540, 741, 2623, 269, 0, 13981, 513, 1007, 1893, 568, 711, 607, 2653, 607, 621, 949, 3100, 269, 898, 3340, 4674, 543, 6266, 540, 9639, 267, 855, 1034, 11932, 267, 621, 1590, 581, 2944, 1900, 676, 1900, 269, 1703, 616, 1896, 4388, 602, 786, 948, 596, 593, 707, 1259, 547, 1565, 2296, 269, 3371, 568, 835, 563, 9596, 2060, 589, 31541, 454, 3080, 540, 519, 1655, 2081, 547, 1451, 513, 1007, 1893, 568, 547, 798, 865, 609, 513, 3659, 610, 3448, 945, 2907, 6487, 519, 1893, 269, 1411, 666, 1404, 12805, 3756, 1927, 267, 1141, 596, 723, 547, 10956, 1913, 610, 2453, 1310, 707, 3659, 269, 901, 786, 948, 1312, 540, 596, 2087, 707, 12332, 267, 543, 621, 786, 849, 1683, 596, 609, 513, 1007, 6643, 7649, 269, 1411, 666, 1256, 1491, 7140, 6340, 538, 519, 1893, 596, 616, 1565, 563, 8266, 523, 1677, 8535, 454, 8266, 2287, 547, 2575, 1247, 1565, 513, 1893, 568, 513, 1390, 1259, 547, 2087, 707, 20020, 543, 1174, 1018, 596, 616, 1565, 269, 1703, 616, 1896, 23093, 4751, 338, 585, 2296, 6267, 267, 899, 2296, 23093, 4751, 338, 610, 23093, 23682, 267, 799, 4183, 4583, 2296, 1004, 543, 1699, 2621, 269, 901, 786, 948, 596, 2259, 707, 12332, 543, 5818, 707, 6015, 1247, 1565, 269, 4804, 513, 1007, 1893, 568, 711, 2653, 267, 855, 609, 2259, 267, 621, 568, 6157, 24276, 563, 12648, 589, 16505, 454, 2414, 2087, 707, 3965, 267, 2523, 950, 1565, 513, 1007, 1893, 267, 596, 1058, 1491, 513, 2736, 1310, 1169, 476, 736, 3764, 610, 865, 540, 1565, 269, 901, 786, 948, 596, 11677, 1018, 596, 616, 1565, 267, 543, 621, 786, 849, 2061, 596, 689, 3478, 936, 2389, 1600, 269, 14171, 513, 2736, 538, 519, 1647, 540, 513, 3992, 786, 849, 1450, 596, 547, 2953, 1022, 9073, 596, 1522, 723, 1500, 269, 1403, 596, 1265, 602, 596, 616, 1419, 1818, 6959, 267, 596, 1058, 2307, 585, 948, 689, 606, 2296, 20131, 610, 4116, 269, 1358, 786, 581, 2111, 547, 948, 596, 1265, 519, 2953, 12332, 585, 1913, 543, 1174, 1022, 8239, 2152, 596, 1522, 723, 269, 1403, 596, 1810, 1406, 723, 606, 2296, 20131, 2139, 267, 1287, 596, 1058, 2015, 2921, 606, 2228, 1576, 269, 1452, 786, 1450, 596, 547, 2170, 609, 5065, 10529, 543, 1118, 707, 1893, 1565, 1995, 607, 11791, 607, 2009, 563, 8620, 589, 5851, 5678, 18630, 454, 1103, 1840, 547, 519, 2296, 596, 2907, 917, 267, 596, 1058, 1451, 513, 1007, 1893, 1572, 14160, 302, 269, 23095, 676, 519, 3703, 7027, 267, 713, 568, 606, 2296, 607, 513, 4914, 1893, 585, 946, 538, 6628, 269, 1411, 666, 1451, 811, 827, 621, 693, 27972, 12500, 761, 880, 322, 1735, 4290, 3820, 16896, 28918, 4495, 596, 917, 713, 1893, 267, 1287, 596, 666, 1376, 6220, 621, 883, 707, 4948, 6643, 269, 1280, 1383, 267, 952, 596, 2911, 827, 10707, 610, 2324, 13383, 267, 596, 666, 946, 14160, 302, 547, 5372, 2296, 269, 769, 942, 267, 713, 786, 1831, 707, 1753, 1893, 267, 543, 596, 786, 1100, 3476, 991, 547, 1589, 538, 2296, 950, 14379, 609, 5065, 10529, 269, 901, 666, 849, 581, 513, 1390, 1259, 585, 1163, 1846, 547, 1451, 2199, 1893, 543, 2528, 1247, 849, 5355, 741, 2296, 563, 19400, 7641, 1656, 20176, 625, 454, 763, 1655, 1259, 547, 1451, 513, 1893, 568, 676, 1210, 621, 256, 1411, 1058, 4585, 8613, 3292, 543, 9413, 538, 519, 1893, 596, 616, 1565, 269, 901, 786, 948, 596, 2259, 707, 12332, 267, 543, 621, 786, 849, 1450, 596, 547, 4497, 609, 519, 1543, 811, 8499, 269, 1280, 3236, 267, 952, 596, 616, 1565, 4436, 267, 1287, 596, 1058, 4585, 4436, 9413, 543, 7641, 2982, 269, 901, 786, 711, 1152, 948, 596, 1451, 855, 621, 786, 849, 1450, 596, 547, 23365, 3054, 538, 519, 1893, 563, 19138, 769, 20492, 454, 2691, 4974, 513, 1893, 267, 621, 568, 3622, 1655, 547, 798, 865, 538, 2516, 269, 4804, 513, 1893, 568, 513, 1895, 4674, 267, 543, 596, 786, 1451, 1454, 5488, 543, 609, 1447, 2566, 952, 596, 960, 609, 1004, 945, 917, 519, 1893, 2907, 269, 1411, 666, 1491, 513, 1413, 693, 938, 2296, 6828, 26643, 547, 1294, 875, 649, 2709, 513, 3358, 1565, 1995, 585, 596, 547, 2259, 707, 2296, 609, 1053, 945, 616, 849, 3695, 519, 1893, 1927, 269, 901, 568, 513, 9735, 1259, 547, 5818, 707, 6015, 1247, 849, 2324, 593, 707, 2296, 1983, 563, 18794, 589, 5530, 6828, 454, 2252, 596, 616, 2907, 513, 4759, 540, 513, 5939, 610, 3909, 1895, 267, 1287, 596, 1058, 2015, 11836, 513, 1353, 1895, 269, 901, 786, 1450, 596, 547, 2743, 609, 1004, 945, 616, 849, 5461, 538, 5355, 741, 2296, 267, 543, 621, 786, 2285, 596, 519, 4316, 547, 1451, 689, 1142, 824, 779, 5380, 269, 769, 1840, 547, 602, 267, 596, 786, 581, 2111, 547, 1265, 1004, 945, 2671, 707, 4690, 267, 543, 713, 786, 1118, 707, 1565, 1995, 811, 11791, 269, 634, 2296, 31409, 710, 3933, 802, 616, 513, 1390, 1383, 540, 713, 267, 1141, 596, 666, 2743, 824, 26112, 543, 562, 12584, 945, 616, 849, 5461, 538, 2296, 543, 3332, 269, 1403, 602, 568, 707, 2013, 267, 1932, 267, 1287, 713, 568, 519, 1895, 585, 596, 256, 1411, 666, 1256, 1305, 909, 513, 1353, 5858, 609, 707, 2828, 543, 1920, 267, 1141, 596, 666, 782, 1451, 689, 1142, 824, 779, 5380, 543, 2833, 269, 901, 568, 513, 1390, 1259, 585, 3025, 547, 1831, 1732, 5053, 10529, 267, 543, 621, 786, 849, 1450, 596, 547, 1265, 1007, 2828, 945, 2671, 707, 1719, 538, 4654, 269, 4804, 513, 1007, 1893, 1281, 711, 723, 547, 581, 2182, 269, 2060, 513, 2370, 3787, 540, 4058, 543, 4674, 267, 621, 568, 6157, 24276, 269, 1656, 1310, 782, 267, 3884, 1406, 602, 1018, 2259, 568, 585, 286, 0, 10048, 622, 324, 552, 9539, 309, 295, 3301, 2488, 519, 14675, 5295, 5426, 630, 14684, 299, 264, 543, 519, 14675, 16242, 5426, 630, 9915, 299, 264, 2234, 7007, 676, 707, 5122, 3684, 607, 513, 9949, 2022, 3491, 22422, 269, 14675, 16242, 5426, 568, 519, 17974, 7274, 12725, 6027, 676, 513, 28416, 693, 513, 1978, 2990, 538, 513, 1978, 17974, 1604, 269, 769, 2494, 622, 324, 14675, 16242, 5426, 19106, 9775, 2687, 547, 912, 268, 519, 3845, 1063, 519, 28416, 543, 519, 4099, 540, 519, 2707, 454, 268, 519, 17974, 1604, 1472, 519, 2707, 630, 3225, 20884, 10338, 1858, 994, 268, 519, 1463, 2032, 11664, 454, 763, 3280, 1379, 1377, 568, 606, 17271, 18572, 540, 519, 6846, 2234, 7007, 676, 519, 3684, 269, 898, 1058, 23295, 581, 1031, 585, 11191, 25966, 269, 6482, 454, 1260, 1706, 2581, 269, 1717, 267, 3280, 1379, 1377, 568, 711, 2653, 547, 2268, 543, 1034, 540, 519, 942, 267, 519, 6846, 2234, 7007, 676, 513, 3684, 568, 1152, 6027, 538, 2474, 540, 3280, 2604, 1377, 1210, 513, 28416, 269, 14675, 2604, 1377, 5833, 609, 2494, 622, 324, 666, 581, 1031, 676, 17974, 8030, 543, 715, 309, 295, 1449, 8030, 547, 5635, 11191, 2164, 609, 7403, 269, 0, 8448, 1325, 5362, 1375, 328, 7476, 294, 10397, 267, 575, 22080, 13729, 294, 10397, 267, 575, 22080, 7476, 294, 10397, 24961, 267, 575, 22080, 13729, 294, 10397, 24961, 454, 842, 575, 22080, 7476, 294, 10397, 263, 1375, 328, 318, 6665, 783, 4671, 1471, 2676, 1375, 328, 318, 15615, 2608, 337, 267, 575, 22080, 318, 15615, 2608, 326, 267, 575, 22080, 318, 15615, 2608, 321, 11850, 842, 575, 22080, 13729, 294, 10397, 263, 1375, 328, 318, 6665, 783, 4671, 1471, 2676, 1375, 328, 318, 15615, 678, 267, 575, 22080, 318, 15615, 575, 267, 575, 22080, 318, 15615, 536, 11850, 842, 575, 22080, 7476, 294, 10397, 24961, 263, 1375, 328, 318, 6665, 783, 4671, 1471, 2676, 842, 521, 267, 703, 7003, 267, 575, 22080, 318, 10233, 2608, 326, 2459, 600, 777, 11850, 842, 575, 22080, 13729, 294, 10397, 24961, 263, 1375, 328, 318, 6665, 783, 4671, 1471, 2676, 842, 521, 267, 703, 7003, 267, 1526, 575, 22080, 318, 10233, 2608, 326, 2459, 600, 777, 11850, 842, 575, 22080, 294, 10397, 16655, 263, 1375, 328, 318, 6665, 783, 4671, 1471, 2676, 340, 842, 3953, 4671, 3787, 26074, 267, 703, 2608, 10946, 24417, 267, 703, 2608, 10946, 16062, 11850, 291, 2464, 31304, 303, 3582, 5278, 12331, 593, 930, 8800, 666, 946, 513, 829, 7302, 14128, 29984, 547, 1413, 1575, 519, 2418, 1354, 11488, 547, 519, 6895, 269, 13575, 713, 568, 1031, 585, 18325, 15494, 676, 11423, 519, 1413, 1575, 3349, 609, 513, 7455, 267, 8754, 519, 2012, 834, 24472, 4786, 2580, 855, 621, 1223, 581, 1031, 585, 824, 1919, 552, 3052, 269, 2027, 2360, 538, 3756, 269, 22427, 1815, 565, 528, 12331, 609, 18325, 7851, 616, 3006, 5219, 547, 607, 834, 29715, 10233, 8487, 1375, 328, 13729, 294, 10397, 24961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 9933, 622, 519, 4819, 585, 8726, 568, 2451, 540, 741, 1272, 269, 901, 568, 519, 2601, 6217, 11226, 616, 865, 1898, 585, 3214, 267, 972, 616, 6217, 11226, 11295, 12799, 585, 19920, 269, 24651, 11226, 616, 10257, 585, 15556, 540, 606, 2085, 267, 543, 666, 581, 19034, 547, 19920, 607, 32249, 607, 827, 513, 3923, 2025, 269, 2311, 519, 1448, 950, 519, 27344, 568, 865, 32249, 267, 621, 11148, 547, 581, 2182, 547, 917, 7488, 540, 2436, 707, 4819, 568, 25884, 13542, 6217, 269, 2201, 519, 1055, 4960, 602, 596, 798, 1095, 2541, 707, 1119, 651, 1522, 1995, 7411, 6217, 267, 693, 602, 1448, 596, 1058, 1491, 707, 1119, 651, 547, 513, 11285, 607, 3533, 607, 942, 14998, 269, 9615, 666, 1175, 1376, 2899, 519, 2783, 814, 1044, 9916, 269, 1703, 616, 1585, 10058, 5686, 540, 6217, 3765, 325, 28232, 267, 513, 6712, 540, 891, 616, 15110, 563, 295, 8960, 28842, 1466, 666, 581, 1317, 540, 930, 1826, 540, 2212, 5945, 267, 610, 1978, 10108, 666, 2014, 6217, 3765, 325, 28232, 269, 645, 17424, 23971, 4345, 568, 513, 2013, 540, 606, 17966, 618, 602, 666, 2014, 6217, 3765, 325, 28232, 269, 2201, 519, 1055, 4960, 602, 707, 27344, 5526, 547, 1995, 2152, 3478, 513, 6023, 593, 519, 4909, 1893, 5759, 267, 621, 4440, 4465, 1406, 581, 513, 1463, 1267, 540, 513, 1565, 8373, 282, 621, 1223, 3274, 581, 4547, 827, 676, 513, 6217, 3390, 269, 8479, 9094, 4137, 856, 875, 547, 2911, 676, 25122, 538, 547, 824, 1004, 267, 538, 713, 1259, 1390, 6217, 568, 19466, 538, 519, 1119, 651, 3395, 1390, 1893, 19038, 6421, 563, 2005, 1360, 1134, 949, 581, 2182, 547, 4584, 519, 1318, 6217, 3391, 585, 513, 27344, 267, 32249, 3214, 5781, 6370, 547, 12189, 519, 6217, 3391, 5468, 585, 1585, 2175, 269, 898, 779, 711, 16613, 585, 513, 1119, 651, 779, 6217, 547, 1689, 607, 789, 1205, 811, 3964, 267, 3976, 741, 6217, 1590, 581, 16111, 13761, 269, 634, 1274, 1106, 13352, 3330, 519, 1274, 540, 519, 27344, 267, 607, 519, 4819, 10953, 713, 949, 2154, 9687, 269, 634, 1034, 1134, 1634, 1826, 540, 6217, 11226, 585, 3214, 616, 519, 3283, 602, 3514, 3297, 519, 1274, 267, 713, 2497, 568, 2241, 585, 25330, 547, 5496, 267, 543, 2417, 3467, 12863, 547, 1852, 269, 898, 568, 519, 16999, 1826, 540, 6217, 3391, 267, 799, 568, 519, 2601, 621, 779, 865, 3501, 585, 19920, 269, 19992, 519, 1274, 11226, 616, 10123, 24215, 2241, 547, 2973, 267, 543, 519, 1274, 28633, 666, 9846, 581, 5486, 5896, 8164, 2838, 563, 2005, 779, 513, 5100, 2219, 547, 4444, 2428, 637, 514, 973, 523, 2763, 6217, 3391, 602, 666, 581, 2404, 609, 1114, 19269, 282, 3875, 1453, 991, 547, 8415, 4217, 633, 4051, 633, 5647, 1247, 789, 616, 693, 1153, 585, 3236, 269, 11628, 6217, 11226, 2709, 513, 2603, 513, 8273, 1297, 540, 8711, 982, 2241, 3283, 267, 543, 789, 616, 11338, 15186, 811, 22537, 269, 8950, 1242, 6217, 11226, 616, 3921, 27274, 11311, 585, 19920, 1317, 540, 713, 267, 543, 519, 1259, 602, 519, 3280, 568, 971, 513, 1390, 2179, 540, 9120, 547, 519, 2241, 1028, 677, 906, 269, 0, 5353, 1783, 531, 22447, 2504, 538, 5245, 267, 5147, 476, 1001, 279, 2443, 5130, 476, 1001, 280, 267, 729, 910, 276, 269, 279, 260, 982, 2063, 1032, 269, 5130, 476, 1001, 280, 729, 910, 1556, 260, 3379, 547, 5130, 476, 1001, 279, 269, 769, 519, 476, 1001, 279, 6629, 866, 4005, 519, 2276, 1034, 4299, 676, 519, 9803, 2504, 616, 15117, 267, 1715, 3162, 12986, 543, 24368, 267, 799, 1927, 2272, 585, 476, 3199, 260, 540, 519, 5144, 3812, 563, 1103, 1715, 10215, 519, 1032, 3323, 3819, 518, 982, 964, 3187, 573, 585, 10683, 12696, 267, 855, 519, 2487, 22856, 723, 5828, 519, 2681, 540, 519, 2250, 999, 689, 6960, 547, 3039, 269, 1703, 568, 7850, 3049, 593, 1034, 10683, 11396, 269, 3509, 10683, 12696, 723, 2907, 13175, 519, 2663, 4005, 5912, 689, 1079, 5144, 532, 779, 513, 1554, 547, 835, 5144, 532, 543, 930, 4587, 16933, 609, 2539, 2504, 723, 1044, 7583, 1194, 856, 540, 31459, 563, 4415, 519, 1699, 5144, 2504, 4005, 23090, 1524, 267, 19643, 267, 4258, 3150, 267, 590, 6573, 543, 654, 6573, 3977, 568, 3001, 2539, 543, 3328, 10683, 5777, 22541, 563, 763, 1719, 540, 16179, 619, 568, 2178, 585, 19643, 267, 849, 6236, 519, 4417, 540, 30766, 269, 4746, 16179, 619, 540, 595, 1117, 323, 541, 543, 654, 6573, 616, 12592, 547, 1847, 4464, 543, 2673, 9388, 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 ]
[ 5432, 609, 519, 3652, 543, 6042, 12044, 1630, 908, 15668, 1590, 581, 30409, 269, 589, 3656, 3318, 786, 3391, 596, 998, 519, 1344, 865, 596, 666, 3758, 513, 15668, 3409, 609, 519, 1318, 13180, 269, 0, 5575, 22707, 585, 1744, 1442, 454, 1432, 616, 519, 5574, 585, 519, 5945, 888, 5575, 5351, 2126, 540, 513, 1268, 538, 8710, 2882, 519, 1739, 3268, 912, 13425, 585, 4191, 540, 10009, 267, 971, 607, 3339, 7244, 267, 23472, 267, 610, 454, 332, 913, 618, 538, 3210, 547, 14242, 563, 23086, 519, 6595, 2564, 454, 9359, 6315, 641, 592, 14004, 759, 19895, 2787, 267, 610, 31214, 267, 952, 519, 1268, 13515, 7244, 563, 8196, 476, 1428, 9221, 735, 11306, 585, 1169, 476, 273, 5023, 3562, 2173, 1926, 15063, 24967, 563, 26835, 609, 519, 1268, 2394, 2564, 6351, 21128, 563, 2710, 711, 1577, 519, 1268, 3548, 610, 4235, 4376, 563, 1432, 616, 519, 2427, 2360, 540, 519, 5574, 888, 763, 9221, 735, 11306, 540, 31214, 666, 2014, 13481, 267, 7063, 547, 4835, 8219, 2676, 528, 7745, 28937, 269, 966, 558, 1746, 666, 581, 513, 1966, 952, 519, 12154, 527, 568, 9575, 538, 519, 21572, 454, 663, 31067, 883, 519, 9641, 563, 1432, 4523, 1310, 2126, 585, 519, 5945, 888, 21675, 585, 519, 2360, 540, 8710, 610, 585, 519, 5817, 2783, 602, 3361, 454, 1492, 8710, 949, 2063, 513, 1906, 3275, 610, 1296, 267, 610, 621, 949, 991, 547, 581, 4797, 585, 519, 1268, 781, 3003, 1272, 269, 0, 302, 342, 331, 674, 1263, 1744, 14241, 814, 1044, 1031, 585, 5553, 607, 513, 1259, 540, 2870, 2318, 543, 7059, 1648, 538, 513, 1753, 610, 29683, 269, 901, 3504, 4457, 2259, 568, 12082, 538, 519, 3661, 602, 1978, 6698, 267, 899, 31450, 267, 666, 581, 6225, 950, 5116, 538, 1808, 2127, 1369, 513, 2230, 269, 901, 666, 948, 3142, 11606, 267, 1434, 9939, 543, 4027, 689, 2942, 1648, 269, 4658, 946, 22559, 674, 1263, 1744, 14241, 547, 8956, 741, 11937, 267, 2149, 741, 1920, 543, 1870, 1967, 267, 16436, 2648, 883, 741, 2729, 543, 4482, 1434, 9939, 269, 15083, 3149, 616, 849, 5156, 547, 3142, 7326, 543, 5813, 883, 1022, 1858, 540, 1272, 1141, 606, 3063, 5818, 1131, 581, 6225, 269, 3502, 1152, 616, 891, 8797, 7068, 25695, 8353, 24312, 855, 789, 849, 1683, 5289, 5583, 543, 4222, 547, 945, 1197, 12034, 873, 269, 1635, 10128, 519, 12572, 2495, 540, 31450, 883, 707, 1753, 610, 5604, 596, 666, 7148, 883, 519, 5289, 26441, 609, 8897, 1247, 1045, 580, 528, 908, 707, 10450, 609, 519, 19089, 540, 25273, 563, 14532, 543, 19088, 1108, 454, 763, 9998, 1634, 19528, 540, 26449, 674, 1263, 1744, 14241, 666, 581, 14360, 1394, 547, 3504, 4457, 13299, 267, 799, 8761, 602, 519, 22559, 729, 2404, 609, 4027, 543, 15325, 269, 1358, 941, 5156, 547, 581, 3810, 8797, 7068, 945, 1223, 2149, 1004, 689, 8594, 543, 9409, 14326, 269, 901, 3661, 3366, 547, 513, 2688, 538, 4457, 2528, 1634, 607, 968, 1492, 1614, 20356, 539, 22559, 31865, 513, 1507, 19562, 710, 540, 606, 22559, 267, 2356, 1500, 689, 10036, 610, 17375, 267, 602, 729, 5116, 538, 519, 1753, 607, 513, 1106, 540, 4027, 563, 4322, 8825, 31450, 941, 849, 1767, 547, 1711, 513, 3532, 513, 3120, 950, 5116, 593, 16051, 1564, 610, 11647, 269, 769, 930, 2694, 540, 3624, 267, 621, 729, 5156, 602, 11093, 606, 22559, 936, 606, 10867, 779, 524, 1026, 1131, 2327, 519, 1126, 779, 3106, 543, 20758, 1055, 1022, 3765, 325, 28232, 610, 3983, 9939, 269, 769, 1840, 267, 8941, 540, 1199, 23550, 896, 606, 22559, 723, 1044, 5143, 607, 2484, 1394, 607, 476, 8099, 271, 645, 5861, 1421, 5156, 547, 948, 9439, 2744, 3152, 4030, 883, 741, 5289, 3460, 269, 15083, 3149, 723, 7283, 513, 2442, 3090, 540, 7326, 267, 26454, 543, 4027, 2429, 1082, 5481, 267, 1818, 873, 513, 3501, 3090, 585, 2870, 1434, 19539, 1369, 707, 1753, 998, 674, 1263, 1744, 14241, 3741, 563, 763, 22559, 568, 9763, 8335, 676, 1585, 4529, 1472, 519, 1158, 269, 769, 930, 4529, 267, 31450, 616, 2404, 609, 7326, 543, 1702, 282, 538, 1866, 267, 789, 616, 2938, 607, 3771, 6883, 619, 540, 2669, 267, 3983, 9939, 267, 543, 1256, 3109, 9059, 269, 769, 1082, 7111, 1977, 4529, 267, 31450, 616, 513, 3090, 540, 4027, 267, 5356, 5796, 689, 513, 2362, 5289, 2707, 269, 769, 16127, 267, 31450, 2099, 11495, 5813, 543, 568, 1767, 547, 3142, 1434, 9939, 610, 812, 320, 269, 2368, 22469, 13513, 14439, 519, 22559, 607, 513, 3090, 540, 5912, 1063, 1272, 543, 2669, 602, 2636, 519, 14326, 547, 2951, 1063, 519, 1079, 14742, 9108, 269, 769, 12563, 2145, 525, 2429, 2342, 543, 5607, 267, 519, 22559, 814, 1044, 2938, 607, 513, 6140, 9243, 1915, 3246, 21855, 540, 8594, 855, 849, 1419, 9117, 7258, 824, 25386, 7068, 547, 948, 3425, 563, 302, 342, 3149, 723, 1279, 1044, 7242, 860, 1242, 607, 6698, 540, 7326, 267, 4352, 789, 4076, 849, 1044, 2938, 607, 3771, 6883, 619, 540, 798, 558, 269, 1280, 713, 2601, 267, 538, 535, 1263, 695, 14241, 267, 789, 616, 513, 3090, 540, 4027, 689, 1761, 2942, 19367, 269, 1879, 5116, 538, 519, 1753, 610, 2282, 519, 13675, 547, 513, 3959, 267, 606, 22559, 6920, 602, 835, 568, 3222, 540, 519, 2009, 12178, 602, 666, 561, 24642, 3544, 519, 1753, 543, 1491, 13390, 1081, 776, 3268, 1996, 873, 269, 769, 1840, 267, 519, 22559, 4564, 28858, 543, 568, 2219, 547, 2149, 1346, 945, 1832, 621, 2673, 676, 1373, 2141, 21713, 543, 4585, 995, 269, 15083, 3149, 616, 849, 5156, 547, 3142, 13884, 543, 11606, 883, 519, 2777, 1107, 3177, 789, 616, 5116, 693, 519, 2953, 4087, 269, 15083, 3149, 12926, 2404, 609, 824, 513, 22273, 5534, 2831, 899, 22645, 543, 27683, 607, 6698, 540, 1379, 543, 4222, 267, 8744, 1434, 19539, 2059, 609, 621, 269, 5015, 267, 1813, 547, 922, 3781, 5075, 7207, 267, 31450, 616, 3006, 2938, 607, 10274, 585, 10188, 998, 4158, 2053, 610, 2352, 3664, 538, 1272, 563, 1103, 674, 1263, 1744, 14241, 267, 621, 568, 5156, 602, 21825, 11093, 606, 22559, 538, 707, 1753, 786, 3142, 9939, 543, 4027, 269, 1280, 1383, 267, 596, 666, 1747, 519, 22559, 2282, 519, 13675, 540, 707, 1753, 547, 10950, 1434, 1648, 883, 707, 2230, 269, 1773, 5217, 519, 22559, 6849, 21286, 630, 339, 578, 731, 519, 7127, 3118, 264, 568, 1767, 547, 4482, 2318, 1648, 543, 20758, 1055, 1761, 2942, 1303, 2572, 610, 18063, 269, 19452, 267, 11093, 519, 22559, 593, 513, 2835, 3559, 325, 610, 1164, 15808, 786, 2061, 3983, 9939, 689, 10024, 269, 589, 6292, 540, 12805, 31450, 593, 2901, 2427, 540, 513, 7450, 849, 23327, 4222, 543, 6617, 2687, 547, 674, 1263, 1744, 14241, 3741, 269, 3958, 267, 16304, 513, 7206, 610, 3239, 540, 606, 22559, 12341, 538, 1142, 4055, 786, 1711, 513, 2178, 2631, 540, 3666, 543, 4027, 2429, 519, 1753, 563, 21760, 543, 7698, 454, 763, 4778, 543, 2326, 1031, 585, 519, 22559, 538, 674, 1263, 1744, 14241, 1058, 2992, 519, 1648, 540, 7326, 267, 20932, 267, 543, 4987, 269, 634, 22559, 779, 11347, 4778, 547, 946, 616, 18707, 540, 3618, 971, 607, 6960, 267, 581, 15607, 610, 16009, 267, 1247, 4544, 267, 5835, 543, 3043, 666, 849, 21843, 28858, 269, 1306, 585, 2326, 267, 6149, 610, 4837, 538, 519, 2681, 5079, 5018, 1657, 786, 3142, 3773, 2495, 547, 606, 22559, 602, 568, 5116, 21825, 2282, 513, 960, 11380, 610, 1565, 7944, 269, 7822, 995, 31450, 538, 7524, 4778, 666, 581, 6074, 543, 5116, 538, 2127, 1141, 7772, 543, 1404, 6888, 616, 5551, 269, 769, 1840, 267, 4496, 31450, 666, 948, 547, 2721, 2318, 15616, 1317, 713, 1826, 540, 1570, 2337, 20758, 1055, 519, 9409, 6891, 2687, 547, 519, 3741, 540, 674, 1263, 1744, 14241, 563, 763, 15889, 2640, 540, 1210, 26449, 674, 1263, 1744, 14241, 1331, 5355, 519, 1413, 267, 1745, 267, 543, 1648, 540, 513, 2230, 676, 2348, 606, 22559, 19562, 710, 610, 18533, 21825, 5116, 538, 519, 1858, 269, 1635, 740, 528, 940, 707, 1753, 609, 606, 22559, 267, 621, 568, 1767, 547, 3142, 4027, 543, 1434, 9939, 563, 763, 30608, 2640, 3277, 547, 519, 10952, 4030, 602, 666, 581, 6591, 998, 922, 12572, 6041, 269, 13507, 1227, 267, 31450, 616, 2808, 8797, 543, 12357, 7068, 609, 16994, 32416, 543, 513, 5318, 1702, 538, 519, 5289, 7706, 269, 4256, 4527, 568, 1767, 547, 1128, 650, 1702, 543, 7326, 883, 1346, 945, 1491, 5469, 1765, 3559, 4771, 3391, 596, 593, 707, 2619, 2509, 6418, 2208, 543, 1620, 269, 3958, 267, 621, 814, 1044, 1767, 547, 3142, 6418, 4708, 543, 3666, 607, 1134, 607, 4482, 2318, 1648, 799, 538, 2490, 666, 3142, 827, 2318, 2242, 585, 1022, 4055, 540, 707, 1753, 610, 5604, 563, 19522, 543, 570, 9581, 454, 272, 269, 9255, 513, 1507, 22559, 19562, 710, 2282, 519, 7450, 540, 707, 1753, 610, 1870, 269, 901, 786, 3142, 4027, 1996, 2942, 1648, 543, 20758, 1055, 3765, 325, 28232, 563, 273, 269, 18224, 606, 22559, 593, 707, 11380, 950, 2324, 538, 5604, 5624, 269, 901, 568, 2219, 547, 3142, 7326, 543, 5813, 883, 1271, 3664, 596, 949, 991, 547, 1118, 693, 960, 563, 274, 269, 1677, 8415, 519, 1648, 2404, 609, 22559, 674, 1263, 1744, 14241, 267, 1747, 5961, 267, 19562, 1149, 543, 824, 15022, 3512, 566, 1472, 519, 1753, 602, 4183, 31450, 610, 741, 6698, 538, 1585, 4778, 971, 607, 4154, 267, 12457, 610, 3043, 585, 4708, 543, 10103, 538, 1114, 2127, 540, 1272, 899, 3347, 543, 1072, 4586, 275, 269, 670, 836, 2592, 610, 12400, 540, 31450, 593, 6821, 547, 4196, 607, 513, 9543, 12576, 547, 2611, 5059, 593, 707, 3853, 543, 3251, 10332, 585, 1022, 2242, 602, 949, 581, 4947, 707, 1259, 563, 276, 269, 20780, 538, 2371, 971, 607, 620, 4141, 2357, 320, 610, 533, 1054, 657, 547, 3986, 519, 2095, 540, 2318, 1648, 2429, 519, 2230, 543, 948, 771, 704, 572, 3983, 16584, 630, 24479, 1916, 277, 269, 2422, 1651, 1619, 16853, 1472, 519, 2777, 10023, 669, 24075, 656, 1335, 636, 610, 795, 11047, 710, 547, 4894, 2942, 7506, 689, 10024, 707, 2230, 1247, 18136, 13884, 543, 1434, 9939, 883, 707, 1272, 543, 1753, 563, 763, 26449, 568, 513, 3090, 540, 7326, 267, 4027, 543, 7004, 267, 799, 2306, 519, 4527, 540, 606, 22559, 538, 674, 1263, 1744, 14241, 811, 982, 1175, 6225, 269, 674, 1263, 1744, 14241, 568, 827, 2318, 1648, 543, 2870, 513, 2230, 585, 602, 1648, 547, 2095, 11884, 543, 3142, 11606, 883, 835, 779, 1272, 269, 634, 26449, 11438, 713, 1482, 6891, 540, 1930, 5011, 543, 19802, 865, 922, 4527, 666, 581, 1031, 547, 948, 1711, 10103, 543, 3666, 538, 1004, 779, 2713, 5624, 269, 898, 4564, 519, 5289, 4276, 1063, 13140, 543, 3047, 607, 1134, 607, 519, 5168, 1369, 1142, 1268, 945, 814, 17947, 621, 269, 11086, 267, 2348, 606, 22559, 538, 707, 1753, 568, 513, 1434, 1129, 267, 1129, 4328, 1945, 1007, 267, 13085, 1919, 547, 2097, 610, 7399, 602, 9327, 1406, 723, 3254, 909, 1510, 621, 269, 4706, 3532, 13513, 5932, 513, 2631, 540, 4708, 543, 7772, 1247, 8716, 2208, 543, 1689, 2443, 2789, 3344, 799, 1118, 519, 22559, 519, 3501, 4487, 10838, 674, 1263, 1744, 14241, 3688, 2336, 2252, 596, 616, 3168, 585, 5583, 593, 875, 547, 4019, 535, 1263, 695, 14241, 3741, 547, 707, 1378, 1272, 267, 1287, 594, 4363, 10992, 856, 1250, 5816, 607, 513, 18019, 535, 1263, 695, 14241, 3896, 269, 0, 290, 992, 985, 543, 13123, 616, 5372, 906, 585, 8697, 610, 7508, 4522, 269, 2755, 31750, 666, 1599, 593, 741, 1378, 547, 7816, 7745, 610, 4413, 327, 777, 523, 4522, 267, 789, 666, 849, 5372, 7508, 4522, 676, 8220, 547, 513, 5959, 8115, 563, 290, 992, 985, 543, 13123, 616, 2147, 5574, 267, 855, 789, 4196, 1114, 5301, 538, 19620, 707, 12837, 912, 288, 5959, 13862, 568, 513, 5694, 11057, 3382, 602, 13352, 9985, 936, 707, 5694, 269, 18844, 985, 616, 4998, 585, 19620, 519, 3337, 267, 2450, 267, 543, 2681, 540, 707, 2067, 5694, 269, 1358, 2461, 2688, 13402, 14233, 267, 865, 707, 13862, 24025, 16900, 609, 519, 1964, 540, 707, 4522, 563, 288, 8115, 568, 513, 3926, 602, 30283, 835, 610, 811, 7508, 4522, 563, 2467, 616, 1896, 2010, 267, 855, 519, 1034, 1455, 568, 513, 2757, 8115, 269, 901, 5161, 540, 1079, 5959, 31750, 609, 606, 5841, 5694, 538, 519, 1647, 269, 2755, 519, 5841, 5694, 267, 610, 533, 2632, 545, 267, 30283, 707, 7508, 5694, 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 ]
[ 519, 1426, 4339, 267, 15537, 631, 3317, 749, 849, 9607, 519, 4473, 540, 7489, 3310, 543, 834, 20123, 12734, 257, 11951, 563, 5719, 321, 6064, 532, 14868, 2059, 519, 1259, 267, 2353, 631, 22395, 540, 5253, 568, 513, 27789, 1413, 693, 875, 1514, 543, 2797, 1646, 814, 5280, 547, 3337, 1114, 11477, 4529, 269, 5253, 543, 3592, 3388, 547, 798, 609, 1426, 267, 17509, 543, 22965, 2023, 344, 267, 3434, 9248, 267, 2021, 781, 17476, 267, 22730, 543, 29397, 267, 2010, 540, 3536, 267, 519, 9565, 3017, 1063, 834, 322, 22620, 257, 543, 834, 12248, 787, 257, 1426, 616, 2649, 1947, 8268, 543, 6492, 2685, 4843, 538, 513, 8670, 602, 786, 561, 5424, 538, 519, 3965, 1279, 1310, 519, 10824, 723, 1044, 23498, 563, 5327, 11220, 547, 9029, 547, 1053, 540, 1686, 543, 1426, 625, 7567, 267, 1977, 2561, 564, 2572, 267, 519, 1101, 1433, 538, 519, 2160, 540, 23916, 4964, 779, 1007, 5253, 543, 5253, 1811, 3126, 267, 6770, 1927, 8903, 20250, 21981, 10503, 519, 4182, 779, 7104, 4189, 6208, 2429, 942, 269, 22073, 609, 7111, 1977, 12563, 2145, 525, 602, 3561, 13654, 1426, 6208, 543, 10678, 609, 4207, 5717, 827, 875, 547, 3489, 7850, 267, 1072, 995, 267, 543, 5683, 1426, 267, 713, 4320, 8761, 602, 519, 1391, 585, 1426, 814, 2141, 1044, 827, 811, 982, 2168, 29454, 267, 11744, 4657, 8456, 827, 2152, 8151, 689, 32742, 543, 4008, 547, 2029, 543, 5198, 269, 22419, 786, 1995, 18755, 926, 3585, 14000, 543, 2893, 2747, 267, 11477, 12257, 543, 31830, 2218, 11605, 689, 5380, 607, 9867, 607, 1346, 540, 20665, 20338, 267, 13524, 10601, 1514, 2572, 267, 6370, 32734, 776, 7980, 267, 791, 1478, 1639, 11082, 267, 543, 7986, 14761, 269, 17859, 540, 741, 4567, 610, 519, 15116, 885, 540, 741, 3140, 4090, 267, 519, 4892, 4171, 2984, 616, 9676, 1934, 7866, 602, 772, 2529, 269, 1686, 3112, 581, 6956, 6306, 689, 606, 6514, 540, 1018, 11479, 543, 1018, 20555, 519, 1977, 14031, 563, 297, 644, 603, 10787, 638, 9618, 779, 5499, 1353, 540, 4915, 543, 2442, 2528, 538, 2413, 3624, 8761, 519, 8499, 2797, 543, 3140, 1915, 540, 12257, 269, 681, 4474, 936, 513, 3099, 540, 2686, 1768, 23230, 734, 12279, 267, 2564, 5931, 267, 4670, 543, 8613, 267, 19761, 267, 543, 7422, 540, 19190, 543, 4683, 3232, 1272, 538, 19864, 1765, 7343, 564, 2572, 2591, 519, 13429, 602, 519, 27217, 2972, 906, 540, 15629, 1272, 616, 2067, 543, 796, 341, 776, 532, 269, 10787, 638, 9618, 23607, 2413, 4457, 18759, 593, 22993, 6228, 547, 1397, 875, 4207, 12608, 2572, 616, 16135, 538, 1686, 269, 3245, 4189, 1134, 538, 5355, 2804, 2053, 547, 8823, 540, 519, 3735, 476, 4198, 271, 338, 26380, 267, 689, 519, 10366, 540, 2757, 4457, 4915, 547, 29678, 779, 4357, 4638, 18653, 267, 713, 1433, 13187, 602, 20032, 538, 782, 922, 3029, 1590, 581, 11827, 543, 13455, 538, 1857, 18759, 827, 2123, 543, 3084, 1272, 269, 1306, 1454, 693, 1753, 538, 2257, 2090, 543, 1514, 3069, 607, 538, 519, 3877, 540, 1272, 538, 19864, 267, 713, 2272, 3096, 19795, 267, 2686, 2090, 267, 543, 5339, 9880, 547, 1224, 4207, 4457, 1272, 538, 513, 1570, 626, 543, 16846, 633, 7154, 269, 1280, 1312, 31474, 626, 543, 2344, 6963, 5712, 267, 713, 568, 513, 1650, 540, 1164, 2528, 538, 12608, 2572, 267, 7287, 538, 7104, 1272, 267, 543, 6214, 538, 519, 1560, 543, 922, 8741, 1431, 563, 290, 571, 1324, 18107, 514, 5779, 27750, 286, 2052, 1405, 1265, 513, 6325, 13962, 585, 23017, 1612, 8527, 286, 5620, 513, 554, 1678, 1359, 585, 21297, 8127, 522, 1889, 548, 10577, 267, 521, 3298, 262, 530, 558, 2125, 538, 1490, 710, 267, 13265, 781, 2634, 533, 622, 267, 610, 28077, 8983, 286, 6733, 1100, 2417, 982, 15907, 519, 4936, 7305, 267, 513, 2189, 10316, 3434, 1504, 543, 1686, 3992, 269, 589, 17855, 540, 4936, 2486, 689, 519, 642, 656, 720, 1448, 540, 519, 18226, 3349, 267, 10051, 267, 543, 2344, 588, 8712, 267, 15907, 519, 4936, 7305, 3091, 1312, 606, 2272, 540, 4936, 4189, 9821, 543, 476, 5611, 10346, 18949, 539, 585, 519, 2413, 3434, 563, 293, 320, 553, 10274, 3988, 998, 519, 11477, 9518, 3949, 540, 4936, 32042, 32737, 20630, 832, 10788, 3042, 1426, 560, 32332, 689, 30152, 3338, 23121, 519, 1232, 611, 775, 540, 15875, 7507, 543, 922, 2404, 3349, 25654, 267, 18226, 12417, 267, 14546, 267, 4005, 902, 267, 543, 5986, 2553, 269, 2060, 10346, 585, 971, 12608, 1944, 8286, 607, 9269, 7523, 14932, 609, 22917, 2125, 262, 12058, 543, 3165, 882, 880, 267, 15907, 519, 4936, 7305, 568, 4998, 585, 1426, 7192, 20601, 15606, 945, 6999, 547, 1174, 875, 519, 7287, 585, 1379, 543, 21037, 729, 28955, 538, 4936, 12608, 2572, 563, 257, 2467, 616, 1082, 20887, 827, 519, 1426, 540, 3504, 7507, 602, 13056, 553, 5036, 856, 547, 2953, 269, 634, 1267, 568, 3368, 3434, 1504, 267, 3368, 1686, 1433, 543, 568, 7357, 4241, 547, 1312, 27697, 543, 1884, 1172, 4115, 7567, 1701, 1765, 29910, 8648, 454, 19425, 2801, 1670, 2013, 2090, 602, 2263, 519, 12738, 543, 2686, 4644, 540, 3536, 538, 519, 25878, 2136, 2276, 454, 8139, 543, 7713, 6848, 3652, 4478, 1426, 543, 1426, 1811, 723, 1044, 519, 535, 1539, 540, 10236, 1670, 2090, 2094, 519, 2038, 2395, 540, 519, 9015, 269, 645, 1136, 267, 25816, 2548, 267, 543, 4563, 27276, 281, 5253, 1811, 26337, 538, 519, 1977, 14913, 267, 2705, 267, 568, 519, 1101, 4015, 13991, 14311, 547, 25878, 1426, 1811, 9916, 998, 15456, 5380, 269, 1452, 3594, 4983, 799, 3536, 941, 13881, 543, 1847, 519, 4901, 540, 1426, 560, 32332, 883, 519, 1914, 32241, 7706, 540, 1946, 267, 875, 267, 543, 950, 789, 941, 13881, 563, 10955, 6002, 570, 1415, 320, 631, 269, 3212, 637, 543, 26826, 667, 2678, 8862, 6504, 1459, 513, 4320, 602, 7575, 3564, 2596, 24300, 267, 7311, 1007, 2409, 610, 2519, 593, 5396, 711, 4922, 5941, 538, 519, 14913, 547, 4266, 269, 30667, 616, 11231, 1210, 519, 8789, 1382, 4798, 540, 905, 8463, 267, 1514, 543, 2797, 4567, 267, 1426, 3354, 543, 10770, 4025, 267, 543, 1426, 1811, 12583, 269, 19928, 12781, 1683, 538, 3829, 6514, 540, 1808, 1426, 3584, 971, 607, 5642, 20768, 267, 21429, 267, 4563, 27276, 267, 536, 712, 2548, 267, 3618, 9065, 839, 267, 543, 4630, 4176, 563, 6944, 1026, 12781, 3142, 513, 3376, 2039, 540, 6791, 547, 519, 4015, 267, 4611, 538, 606, 27763, 1413, 693, 782, 540, 519, 3268, 3144, 689, 2361, 547, 3349, 267, 1519, 27147, 267, 2504, 267, 5986, 267, 543, 4616, 267, 782, 540, 799, 723, 11251, 2686, 10096, 543, 5389, 269, 634, 9165, 540, 519, 4320, 2882, 519, 4763, 540, 1382, 32258, 4547, 547, 7703, 593, 519, 1888, 540, 1426, 1811, 607, 1134, 607, 519, 13796, 543, 6237, 4560, 543, 3178, 267, 519, 5610, 540, 2789, 3515, 540, 2963, 267, 543, 267, 538, 930, 2665, 267, 519, 5368, 4034, 12720, 540, 1134, 8153, 4609, 609, 1007, 2055, 543, 1007, 1239, 563, 763, 2956, 540, 519, 7333, 21103, 538, 519, 3735, 11193, 568, 7543, 547, 26777, 269, 14465, 638, 1115, 7604, 1078, 513, 3984, 779, 5763, 543, 1379, 267, 3177, 606, 8317, 585, 8821, 956, 689, 11397, 4025, 547, 5531, 1927, 267, 543, 1256, 6039, 607, 513, 1106, 540, 2797, 18259, 269, 1809, 1018, 729, 621, 2731, 899, 547, 8597, 547, 519, 16919, 543, 6208, 540, 1164, 2486, 693, 519, 7333, 638, 1115, 540, 8821, 956, 267, 28370, 267, 543, 1402, 525, 286, 1548, 1705, 789, 3548, 543, 875, 1705, 789, 3548, 621, 888, 1103, 634, 14465, 21103, 267, 8230, 1325, 4472, 320, 6227, 519, 27139, 1974, 1063, 519, 8185, 838, 5367, 543, 11954, 11951, 540, 519, 5664, 12698, 543, 8106, 3943, 688, 583, 11951, 269, 901, 1646, 3238, 2810, 946, 10683, 2472, 267, 513, 1847, 4724, 14402, 16469, 971, 607, 1654, 531, 543, 9269, 267, 2810, 8446, 540, 3084, 1426, 9821, 267, 811, 29284, 543, 12906, 18267, 267, 543, 513, 15568, 12716, 2631, 267, 19599, 538, 1899, 609, 519, 3735, 11193, 6163, 1336, 538, 824, 6575, 563, 4263, 2899, 513, 2951, 518, 779, 9661, 267, 513, 17728, 267, 543, 513, 5023, 22476, 3434, 1504, 267, 645, 1746, 998, 519, 16164, 3091, 513, 1101, 22831, 19366, 779, 5133, 593, 3395, 909, 538, 3013, 779, 2295, 1633, 269, 8191, 715, 2088, 631, 4157, 518, 329, 2465, 674, 584, 22978, 879, 779, 3237, 4547, 1200, 689, 19377, 538, 7187, 3127, 547, 519, 1507, 4884, 540, 26352, 7921, 267, 17857, 267, 538, 476, 3422, 275, 267, 5756, 1354, 596, 1223, 1265, 1279, 3766, 1778, 7573, 610, 10750, 18506, 538, 1977, 17365, 8637, 269, 16871, 1977, 2528, 267, 519, 631, 4157, 518, 329, 2465, 1920, 17696, 554, 27304, 619, 543, 2571, 338, 2925, 4672, 8645, 267, 3576, 513, 9683, 575, 15843, 856, 593, 519, 10720, 538, 741, 5179, 29539, 267, 543, 8678, 519, 1744, 12541, 619, 269, 4173, 3237, 11843, 519, 2686, 267, 5289, 267, 543, 1920, 2418, 789, 1185, 4547, 609, 873, 547, 741, 1453, 1152, 3297, 519, 6806, 9885, 540, 741, 1753, 267, 998, 519, 12738, 540, 5986, 267, 7674, 267, 543, 4189, 15622, 8932, 1426, 543, 1818, 513, 1697, 7484, 540, 7401, 563, 2026, 513, 8004, 543, 513, 1762, 4807, 267, 715, 2088, 14612, 547, 1200, 18577, 3127, 607, 1134, 607, 547, 2852, 543, 547, 13458, 17620, 3028, 538, 31512, 807, 269, 3414, 1200, 15322, 543, 1200, 7365, 547, 606, 1977, 812, 4171, 22594, 688, 6150, 689, 5125, 543, 13785, 267, 1352, 4121, 602, 1200, 1920, 729, 711, 4805, 538, 1373, 513, 1507, 17927, 540, 2528, 1352, 2741, 1229, 689, 519, 3677, 1158, 269, 645, 1746, 998, 519, 16164, 2982, 875, 649, 2226, 938, 3604, 607, 1134, 607, 875, 649, 2097, 1927, 998, 1018, 543, 875, 649, 3434, 543, 3548, 269, 769, 31366, 519, 9864, 2530, 540, 1200, 6561, 267, 519, 2278, 9060, 602, 267, 6038, 267, 6561, 2141, 9060, 824, 2081, 540, 4947, 547, 2743, 721, 269, 769, 1198, 267, 621, 666, 581, 4389, 547, 513, 476, 275, 1535, 476, 277, 20878, 11600, 3556, 267, 1945, 602, 666, 3514, 883, 513, 25099, 17927, 269, 898, 779, 593, 1175, 971, 6263, 3877, 540, 1272, 602, 10362, 26520, 563, 1103, 713, 1433, 267, 519, 2278, 8843, 1200, 25099, 1790, 12714, 10346, 543, 513, 1390, 4308, 811, 267, 18136, 3988, 547, 6443, 1200, 593, 1200, 3460, 4724, 9887, 543, 4724, 513, 4105, 2631, 540, 1426, 607, 2528, 543, 519, 27341, 540, 2146, 563, 763, 16368, 7276, 729, 835, 540, 519, 4102, 543, 13074, 18835, 23693, 538, 1686, 11652, 835, 540, 519, 1034, 524, 6081, 3320, 20916, 269, 769, 713, 3532, 543, 1950, 598, 1723, 794, 540, 6214, 267, 2528, 267, 543, 11951, 267, 519, 2504, 543, 4616, 540, 1426, 10630, 519, 2729, 540, 519, 10504, 779, 4961, 689, 521, 738, 753, 547, 7980, 269, 5253, 3808, 1004, 540, 1114, 5049, 543, 10080, 1927, 267, 10747, 3961, 543, 7674, 12572, 3252, 538, 519, 1514, 267, 3909, 267, 2797, 267, 543, 4108, 21384, 269, 769, 645, 870, 3814, 7276, 267, 2398, 4593, 8759, 6307, 594, 26535, 13799, 333, 12116, 519, 4657, 10096, 540, 519, 16368, 7276, 779, 1426, 1811, 607, 789, 7960, 936, 811, 982, 2947, 5553, 563, 296, 26535, 13799, 333, 5956, 609, 519, 1898, 5820, 540, 713, 4241, 1686, 267, 6313, 519, 4505, 11477, 5389, 538, 799, 16368, 11951, 729, 12082, 267, 971, 607, 1346, 540, 519, 6239, 7489, 5695, 802, 267, 2806, 21353, 1749, 267, 17286, 9857, 802, 267, 543, 18031, 656, 1149, 269, 2701, 4422, 593, 547, 2263, 519, 3309, 3344, 540, 713, 3638, 11477, 2528, 267, 1519, 28972, 267, 29397, 267, 14060, 267, 4108, 1426, 267, 1426, 4031, 267, 543, 1426, 4123, 269, 14301, 593, 3388, 689, 31150, 6054, 547, 6965, 543, 10023, 811, 982, 835, 4627, 632, 937, 762, 12383, 267, 713, 23939, 21503, 267, 4190, 4320, 3091, 4195, 543, 18512, 5813, 883, 606, 10504, 543, 11951, 602, 2394, 2487, 5756, 723, 1044, 1932, 7522, 569, 9763, 998, 7259, 531, 626, 4715, 8163, 563, 19770, 547, 25590, 520, 1144, 6645, 519, 1650, 540, 835, 540, 519, 1034, 8037, 1806, 540, 519, 14051, 540, 1426, 281, 519, 3262, 540, 4457, 10346, 267, 5820, 543, 5986, 6163, 547, 519, 5375, 1158, 269, 22073, 609, 519, 6589, 540, 3057, 1723, 2717, 334, 543, 8071, 4593, 534, 28773, 267, 808, 6993, 14371, 269, 21662, 6257, 875, 5375, 619, 685, 1101, 24221, 540, 4457, 1426, 941, 4956, 569, 6404, 267, 609, 1082, 3823, 4457, 4189, 6208, 607, 1065, 1872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 2085, 912, 268, 11162, 519, 10867, 779, 5023, 609, 12238, 2763, 610, 946, 513, 2571, 10867, 28750, 1310, 3049, 902, 543, 693, 21557, 563, 268, 13693, 707, 1126, 779, 12963, 1014, 3823, 21973, 9360, 563, 268, 3204, 3634, 8023, 6208, 630, 15318, 1479, 8023, 543, 20418, 1916, 306, 1460, 547, 476, 1321, 3275, 540, 2085, 912, 268, 4438, 713, 942, 267, 519, 1101, 5694, 1058, 2408, 269, 13693, 519, 11290, 585, 606, 6514, 563, 268, 5696, 2313, 4522, 1310, 1142, 8023, 543, 693, 21557, 609, 513, 1507, 267, 2571, 1532, 2077, 1194, 11453, 563, 268, 1306, 519, 1126, 5956, 547, 3802, 267, 3251, 10332, 540, 1761, 5959, 543, 5924, 11132, 7063, 563, 268, 1284, 534, 519, 1126, 689, 519, 11480, 676, 1010, 610, 1200, 1101, 14512, 269, 630, 2252, 513, 4807, 6089, 10623, 2644, 1200, 1126, 267, 519, 5084, 288, 15565, 20418, 585, 693, 2547, 835, 1032, 269, 634, 2622, 2657, 9257, 15565, 20418, 585, 693, 2547, 1079, 1296, 8094, 23562, 10679, 547, 476, 2190, 3275, 540, 2085, 912, 268, 7427, 519, 8430, 540, 5959, 18362, 543, 2973, 902, 267, 607, 5227, 676, 707, 1126, 779, 12963, 11290, 269, 13575, 267, 5959, 18362, 543, 2973, 902, 616, 5227, 1169, 476, 277, 3275, 585, 1453, 543, 4079, 563, 268, 1306, 707, 1126, 16137, 547, 27125, 1010, 610, 1200, 5023, 267, 543, 607, 1034, 28301, 630, 321, 17879, 264, 4522, 723, 30192, 676, 713, 2085, 267, 17678, 609, 513, 890, 320, 13355, 6712, 540, 14806, 573, 730, 26025, 3587, 3617, 563, 19187, 1416, 540, 513, 1126, 779, 28301, 4522, 630, 10193, 1634, 607, 968, 321, 17879, 892, 610, 3119, 4522, 264, 568, 1360, 1271, 607, 891, 4522, 3180, 2230, 585, 519, 2104, 20349, 540, 8628, 4522, 563, 268, 1403, 513, 4816, 5694, 1232, 904, 610, 568, 6569, 1932, 2038, 267, 519, 2230, 2556, 585, 519, 8628, 4522, 568, 4503, 543, 666, 1152, 581, 1036, 7134, 998, 26966, 545, 2126, 563, 268, 16791, 539, 4816, 4522, 666, 2014, 519, 8628, 4522, 547, 1020, 16789, 569, 4611, 538, 25859, 267, 29365, 267, 543, 21260, 4522, 563, 268, 12729, 4522, 616, 1271, 538, 4633, 1646, 563, 268, 12729, 4522, 5351, 538, 21400, 1426, 5265, 267, 5009, 2635, 6484, 563, 7197, 1453, 2253, 9561, 741, 4816, 4522, 1472, 519, 6502, 2947, 610, 3670, 1700, 17141, 519, 4395, 4522, 1101, 269, 1358, 3136, 547, 6336, 4816, 4522, 2394, 519, 2085, 540, 476, 1321, 610, 476, 1724, 950, 782, 540, 519, 8628, 4522, 6368, 2097, 998, 267, 4849, 585, 519, 3791, 12387, 1513, 630, 342, 529, 3256, 4522, 1040, 1452, 12387, 1513, 2253, 547, 2408, 1472, 2085, 476, 1704, 547, 476, 2641, 269, 0, 299, 659, 328, 568, 513, 10347, 4816, 2012, 602, 2501, 689, 519, 4884, 540, 11870, 22929, 267, 700, 29983, 269, 634, 2012, 729, 8385, 25250, 267, 700, 2329, 269, 9282, 1100, 3476, 513, 1283, 476, 272, 267, 1822, 4781, 267, 30086, 328, 568, 1869, 513, 1283, 476, 273, 267, 6110, 2012, 693, 7584, 476, 273, 267, 27088, 563, 30547, 540, 519, 2012, 30086, 328, 912, 12626, 281, 689, 700, 29983, 454, 27670, 540, 519, 2012, 30086, 328, 912, 299, 659, 328, 568, 513, 8390, 540, 519, 3312, 10259, 267, 700, 2329, 269, 700, 2329, 729, 513, 21519, 538, 4789, 602, 3357, 689, 519, 4884, 2012, 267, 700, 29983, 269, 634, 11870, 753, 4547, 621, 609, 873, 1310, 32415, 4789, 607, 621, 729, 513, 2749, 538, 11870, 22929, 269, 2368, 3494, 602, 519, 4884, 781, 2140, 3294, 267, 2705, 267, 3357, 689, 519, 5824, 2016, 2012, 267, 20098, 857, 639, 563, 15228, 2513, 1143, 540, 519, 2012, 30086, 328, 912, 299, 659, 328, 1797, 968, 5228, 700, 29983, 892, 607, 621, 814, 519, 1482, 2495, 607, 519, 1101, 2012, 543, 21519, 267, 700, 2329, 269, 700, 2329, 267, 607, 596, 3314, 267, 729, 513, 21519, 585, 1004, 689, 519, 4884, 540, 700, 29983, 269, 898, 729, 513, 8390, 540, 519, 3312, 1920, 2012, 267, 700, 29983, 563, 306, 1399, 548, 540, 519, 2012, 30086, 328, 912, 29638, 540, 519, 2012, 30086, 328, 912, 299, 659, 328, 568, 513, 10347, 4816, 2012, 585, 6690, 563, 303, 1258, 10586, 540, 519, 2012, 30086, 328, 912, 10831, 540, 24424, 538, 519, 2012, 30086, 328, 912, 10387, 10056, 859, 12097, 689, 519, 2012, 30086, 328, 912, 299, 659, 328, 568, 513, 10347, 543, 21522, 4816, 2012, 269, 898, 568, 32249, 543, 2186, 563, 21446, 894, 29745, 585, 519, 2012, 30086, 328, 912, 301, 1157, 12849, 585, 519, 2012, 30086, 328, 912, 268, 20233, 20233, 454, 268, 30086, 328, 700, 21343, 454, 28082, 640, 540, 519, 2012, 30086, 328, 912, 299, 659, 328, 729, 513, 1283, 476, 272, 267, 1822, 4816, 2012, 8385, 689, 476, 2735, 271, 547, 476, 1960, 273, 269, 898, 3357, 1394, 538, 476, 1220, 274, 607, 513, 1283, 476, 4335, 4781, 693, 7584, 476, 275, 4343, 269, 476, 1220, 279, 729, 519, 2063, 1032, 30086, 328, 729, 593, 519, 1283, 476, 272, 267, 1822, 1592, 267, 20823, 693, 1297, 476, 4817, 278, 563, 16665, 4408, 585, 519, 2012, 30086, 328, 912, 15124, 1647, 4408, 585, 30086, 328, 543, 741, 10096, 912, 268, 11835, 576, 14979, 630, 327, 7026, 994, 268, 14529, 15607, 630, 817, 9665, 267, 25961, 994, 268, 29615, 548, 630, 333, 984, 548, 267, 28665, 994, 268, 8349, 710, 630, 17641, 267, 1863, 812, 994, 268, 918, 15811, 630, 335, 675, 994, 268, 645, 686, 13860, 630, 14683, 267, 15626, 267, 608, 531, 1540, 994, 268, 14639, 928, 630, 18661, 568, 1178, 4109, 994, 268, 631, 2801, 557, 630, 20580, 921, 8768, 267, 15596, 994, 293, 13904, 1004, 609, 519, 2012, 30086, 328, 912, 268, 30086, 328, 8891, 3205, 630, 14683, 9043, 12638, 6408, 994, 268, 30086, 328, 5682, 630, 2791, 12564, 7209, 994, 268, 30086, 328, 8845, 630, 29309, 20274, 689, 476, 1220, 276, 994, 268, 30086, 328, 645, 1245, 655, 2335, 630, 1260, 1842, 518, 994, 268, 30086, 328, 7736, 637, 345, 630, 15132, 639, 1685, 518, 994, 299, 659, 529, 538, 2442, 2528, 912, 2467, 616, 1100, 14070, 3197, 609, 519, 2012, 30086, 328, 269, 0, 21080, 543, 1216, 5533, 689, 8781, 5755, 3123, 3978, 8801, 2360, 267, 971, 607, 10447, 543, 2295, 2068, 269, 14086, 5755, 568, 3542, 5024, 2666, 543, 2627, 1216, 267, 607, 1134, 607, 21006, 7226, 543, 5215, 540, 14143, 540, 3327, 2275, 2194, 1005, 7733, 563, 268, 634, 5274, 8779, 540, 6052, 267, 11660, 1977, 454, 268, 12280, 543, 8376, 689, 5295, 12518, 267, 11162, 5794, 17130, 10414, 454, 268, 15021, 21694, 12456, 1137, 5274, 2657, 693, 5272, 8609, 540, 15021, 5020, 18888, 267, 4284, 5974, 585, 4317, 26930, 454, 268, 12135, 654, 27073, 779, 2657, 1299, 21694, 2985, 454, 268, 1548, 779, 707, 4276, 547, 6778, 5593, 641, 31203, 5599, 888, 2108, 7021, 476, 4335, 29630, 1014, 7823, 25568, 543, 476, 273, 267, 1822, 5195, 540, 5757, 2212, 31662, 723, 1044, 10032, 547, 1683, 5755, 585, 5201, 3034, 1700, 29630, 1014, 966, 7860 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 707, 16475, 998, 943, 335, 7069, 3849, 2381, 454, 2791, 1616, 547, 1569, 519, 21686, 4580, 2394, 596, 2232, 707, 31964, 5468, 1510, 513, 5150, 4528, 630, 12487, 307, 4916, 1040, 769, 1034, 2665, 267, 596, 4465, 1406, 1256, 723, 1569, 547, 519, 8298, 514, 9184, 269, 1280, 14987, 267, 713, 568, 519, 10782, 4781, 269, 3767, 621, 779, 942, 547, 4603, 609, 707, 16475, 6119, 563, 268, 8437, 593, 519, 943, 335, 7069, 3849, 2381, 3095, 547, 979, 547, 519, 524, 32292, 601, 563, 268, 1656, 1287, 6330, 547, 519, 5551, 6538, 269, 630, 9616, 281, 1118, 2386, 596, 2824, 519, 2953, 4087, 593, 1114, 4609, 1916, 268, 3767, 596, 991, 547, 2824, 654, 303, 18169, 1107, 1934, 596, 666, 12575, 519, 11690, 1231, 543, 31964, 6249, 5468, 630, 572, 937, 654, 335, 18169, 1916, 268, 1411, 2824, 519, 15745, 543, 519, 1753, 15745, 547, 12575, 519, 3135, 269, 634, 1357, 2232, 1590, 581, 519, 1482, 538, 1312, 4025, 269, 2991, 18417, 4657, 707, 15745, 538, 519, 31964, 5468, 8470, 267, 596, 666, 18549, 1569, 519, 5468, 543, 1689, 707, 27024, 563, 268, 22352, 15745, 269, 1411, 1590, 6467, 707, 6389, 547, 10226, 307, 4916, 952, 596, 1616, 547, 946, 513, 5150, 7014, 609, 519, 3617, 9399, 299, 15149, 269, 1411, 1590, 1689, 10226, 307, 4916, 547, 26824, 1354, 7598, 9399, 299, 952, 596, 798, 711, 2907, 723, 9399, 299, 543, 513, 7834, 5470, 4386, 563, 268, 2142, 2386, 547, 4688, 707, 2242, 1310, 596, 12575, 519, 15745, 269, 2991, 596, 1118, 519, 9283, 267, 13182, 602, 519, 2242, 616, 2953, 593, 707, 3135, 1210, 24904, 779, 1651, 1758, 17010, 15745, 6885, 563, 14630, 540, 1449, 454, 6701, 519, 4266, 543, 942, 5468, 593, 707, 1062, 2953, 286, 10705, 1507, 1919, 267, 899, 4259, 519, 4636, 942, 543, 4266, 267, 666, 2014, 3978, 2042, 593, 707, 2780, 269, 901, 4909, 16950, 666, 581, 1121, 539, 1221, 5612, 563, 16158, 3817, 666, 581, 8697, 676, 28456, 3292, 610, 3595, 31486, 269, 6744, 602, 4179, 17655, 568, 16981, 538, 519, 28456, 3292, 269, 634, 1152, 3070, 568, 547, 771, 762, 519, 3301, 952, 972, 568, 1100, 824, 4244, 563, 4322, 616, 519, 1292, 2409, 547, 4194, 519, 715, 4953, 1966, 281, 18317, 305, 318, 290, 12224, 318, 4596, 12613, 2177, 318, 2793, 10933, 318, 2562, 309, 3201, 2839, 543, 1934, 519, 1657, 6609, 786, 948, 596, 543, 519, 3755, 547, 1265, 519, 3597, 2014, 543, 519, 4998, 3070, 563, 11902, 17988, 540, 519, 715, 4953, 2433, 2433, 18317, 305, 318, 290, 12224, 318, 4596, 12613, 2177, 318, 2793, 10933, 318, 2562, 309, 3201, 2839, 454, 272, 1547, 1772, 621, 2009, 547, 4194, 519, 715, 4953, 1966, 281, 18317, 305, 318, 290, 12224, 318, 4596, 12613, 2177, 318, 2793, 10933, 318, 2562, 309, 3201, 2839, 9046, 888, 8133, 267, 891, 616, 519, 2409, 4330, 1657, 543, 621, 666, 581, 6378, 267, 1100, 19048, 563, 268, 1403, 835, 540, 519, 2409, 3085, 1406, 960, 267, 1018, 1058, 596, 798, 888, 2791, 1058, 1847, 593, 547, 519, 1985, 1505, 267, 1317, 519, 1966, 4386, 585, 1114, 4128, 267, 543, 1346, 4128, 2154, 513, 1297, 540, 1114, 2081, 547, 4194, 621, 563, 268, 1684, 596, 991, 513, 2603, 540, 1983, 547, 4194, 519, 1966, 888, 5591, 8723, 598, 7224, 23579, 584, 610, 8723, 812, 666, 715, 4953, 621, 281, 674, 1460, 519, 1966, 281, 18317, 305, 318, 290, 12224, 318, 4596, 12613, 2177, 318, 2793, 10933, 318, 2562, 309, 3201, 2839, 9046, 563, 4322, 616, 519, 2055, 1034, 1419, 4280, 676, 513, 1804, 1297, 540, 3755, 267, 543, 519, 4267, 2097, 689, 1896, 4810, 1004, 543, 689, 1250, 1378, 1995, 269, 1306, 513, 1267, 267, 4267, 786, 581, 811, 5483, 543, 4977, 269, 1403, 596, 723, 1022, 2055, 267, 1745, 1863, 547, 2307, 538, 519, 8292, 3296, 563, 2252, 596, 6718, 9399, 299, 27121, 855, 798, 711, 3888, 873, 7157, 267, 596, 786, 7237, 9399, 299, 270, 12487, 307, 4916, 6959, 543, 3354, 21855, 689, 5616, 24904, 269, 2290, 540, 873, 267, 950, 3843, 547, 3888, 519, 3095, 267, 568, 715, 4953, 281, 18317, 305, 318, 290, 12224, 318, 4596, 12613, 2177, 318, 2793, 10933, 318, 2562, 309, 3201, 2839, 563, 1432, 1223, 581, 519, 2014, 286, 7102, 3801, 547, 1569, 519, 3135, 949, 581, 1813, 547, 7746, 12122, 6959, 543, 14286, 540, 3791, 5428, 24904, 24909, 610, 3354, 3301, 563, 12552, 717, 2465, 802, 267, 594, 4126, 782, 713, 1344, 568, 1360, 3407, 585, 596, 543, 952, 711, 267, 5225, 6494, 803, 513, 6085, 593, 707, 1966, 267, 594, 786, 1397, 519, 1655, 3070, 585, 713, 1966, 269, 2334, 779, 621, 11570, 267, 723, 513, 1390, 1554, 538, 1272, 269, 1403, 596, 723, 1022, 2055, 267, 1745, 1863, 547, 2307, 538, 519, 8292, 3296, 563, 14188, 596, 585, 7446, 744, 300, 2983, 2131, 344, 269, 6744, 9631, 613, 2131, 344, 2593, 585, 10311, 563, 1607, 2707, 814, 1044, 1360, 1454, 5363, 538, 3257, 938, 1382, 269, 3367, 811, 827, 2121, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 21271, 543, 1577, 721, 917, 1018, 596, 1589, 563, 293, 3975, 3724, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 1775, 529, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 1196, 2102, 564, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 21271, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 2199, 10676, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 3552, 15258, 6343, 1281, 2121, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 1611, 267, 10144, 849, 3406, 585, 267, 7468, 643, 2329, 5468, 267, 1692, 9612, 1568, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 1775, 529, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 6316, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 3552, 15258, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 21271, 267, 6343, 1281, 2121, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 1611, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 10741, 16435, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 2262, 12304, 267, 6339, 15311, 20482, 6831, 1068, 318, 21720, 12173, 18425, 20777, 2199, 10676, 0, 2171, 782, 917, 827, 12123, 10473, 267, 855, 1906, 917, 741, 3140, 5169, 269, 1284, 7866, 782, 267, 865, 2097, 609, 721, 593, 513, 2110, 3460, 998, 519, 1686, 540, 519, 12123, 6728, 563, 2419, 1173, 532, 10473, 941, 11827, 538, 519, 476, 866, 628, 2540, 454, 12441, 596, 917, 602, 519, 1646, 540, 519, 859, 12123, 6728, 4769, 1406, 1376, 609, 23592, 267, 855, 538, 519, 4571, 268, 866, 628, 2540, 286, 11272, 6517, 941, 538, 3747, 1394, 1287, 1107, 789, 941, 1256, 811, 2442, 982, 4620, 1503, 6517, 269, 1809, 519, 12123, 6728, 779, 31317, 7012, 1406, 513, 6728, 267, 621, 729, 513, 4055, 269, 7136, 633, 6007, 7161, 941, 30528, 538, 519, 6007, 4055, 269, 1452, 7161, 8719, 30701, 25551, 9075, 269, 8307, 2899, 3943, 21997, 22050, 517, 7233, 2946, 11827, 519, 22507, 762, 1291, 14092, 573, 6007, 538, 476, 6977, 280, 1223, 519, 1482, 9075, 581, 32419, 269, 9521, 2221, 267, 1360, 1906, 10820, 1185, 5201, 1394, 1287, 269, 1924, 972, 941, 6266, 540, 1857, 5624, 267, 971, 607, 31508, 267, 6131, 547, 556, 12737, 532, 9075, 269, 634, 3167, 6517, 1131, 581, 9141, 538, 543, 4448, 3842, 513, 646, 11998, 10814, 547, 835, 540, 519, 556, 12737, 532, 13838, 267, 799, 941, 20898, 909, 2059, 513, 3774, 563, 763, 5082, 7949, 24182, 543, 13674, 268, 19956, 14634, 454, 1103, 476, 6245, 280, 267, 4937, 11272, 9250, 519, 5082, 7949, 12123, 6728, 269, 898, 729, 8704, 538, 1804, 2475, 4872, 543, 6743, 899, 513, 15146, 30361, 269, 1717, 267, 519, 1967, 540, 519, 3167, 1286, 729, 10393, 555, 342, 14975, 630, 1721, 519, 942, 1373, 264, 676, 513, 2864, 11389, 5658, 762, 8798, 281, 519, 25690, 5179, 269, 667, 31034, 540, 4620, 1503, 6517, 1631, 1100, 3476, 2877, 547, 979, 998, 519, 28842, 1466, 543, 2101, 4674, 540, 1835, 21403, 519, 2599, 16924, 1107, 789, 1223, 3274, 6467, 621, 593, 269, 4258, 777, 4492, 5777, 543, 519, 1732, 2039, 5795, 519, 13674, 2599, 922, 2462, 2736, 563, 763, 3167, 1286, 2306, 513, 3500, 2097, 3724, 454, 29128, 519, 476, 4198, 271, 338, 267, 519, 12123, 2029, 585, 3167, 6517, 7283, 7361, 24240, 269, 898, 729, 1152, 998, 8441, 538, 2230, 3408, 602, 9075, 543, 12123, 3681, 4824, 269, 634, 1888, 6591, 791, 28127, 538, 476, 1960, 278, 609, 519, 23625, 7974, 30410, 639, 267, 799, 5916, 513, 4620, 1503, 2599, 609, 606, 3167, 5397, 1062, 543, 729, 519, 1101, 1286, 538, 519, 1158, 547, 581, 2527, 3812, 609, 513, 10316, 5397, 563, 1103, 476, 1220, 277, 267, 23592, 18965, 1646, 950, 621, 9250, 922, 782, 3887, 10431, 10003, 3122, 269, 23592, 16219, 513, 2039, 540, 909, 547, 476, 6110, 5998, 630, 3286, 896, 476, 7742, 5195, 264, 1394, 1287, 267, 513, 7061, 20014, 602, 17275, 3747, 585, 4357, 12123, 10473, 693, 1753, 563, 16158, 770, 334, 779, 3070, 281, 519, 1007, 5680, 770, 334, 26192, 12123, 6728, 454, 25821, 6517, 616, 1631, 1818, 513, 2097, 3724, 267, 865, 3747, 585, 1857, 543, 4357, 12123, 10473, 568, 1164, 269, 5680, 770, 334, 779, 5767, 1753, 12123, 3070, 568, 519, 2034, 22831, 5680, 770, 334, 26192, 267, 799, 2306, 12123, 693, 1753, 10375, 543, 2653, 269, 634, 3844, 10896, 4159, 267, 585, 1383, 267, 20186, 519, 12123, 1184, 538, 513, 13576, 267, 9900, 24421, 532, 7990, 5912, 269, 6271, 1007, 4183, 568, 519, 7471, 9823, 15895, 1699, 4027, 563, 27165, 7888, 543, 2922, 454, 2467, 616, 849, 811, 18041, 5468, 2139, 950, 4259, 909, 513, 5680, 770, 334, 1753, 29789, 267, 865, 519, 3888, 518, 666, 1732, 4188, 519, 12123, 1699, 547, 519, 2199, 5989, 269, 634, 5680, 770, 334, 26192, 12123, 6728, 849, 791, 19843, 3755, 609, 922, 8897, 540, 946, 630, 303, 29888, 1299, 7591, 264, 543, 922, 4052, 10814, 20022, 585, 22619, 344, 4859, 540, 519, 27296, 543, 12123, 10814, 269, 5680, 770, 334, 568, 865, 18617, 540, 519, 2298, 540, 519, 1007, 5108, 540, 922, 12601, 5056, 619, 602, 267, 7258, 519, 476, 273, 4458, 27152, 15549, 344, 267, 621, 2488, 513, 2417, 476, 274, 4458, 10018, 269, 1284, 2461, 2386, 519, 3167, 1286, 10256, 540, 519, 476, 866, 628, 2540, 1131, 723, 6068, 513, 3070, 899, 713, 563, 5194, 3184, 729, 5063, 3773, 547, 519, 12123, 6728, 779, 1686, 1433, 281, 23592, 814, 2919, 1857, 8111, 12737, 518, 10473, 602, 666, 1039, 909, 547, 476, 6344, 5998, 630, 4037, 5195, 264, 540, 5279, 547, 513, 23592, 7844, 476, 274, 538, 2947, 3764, 269, 1635, 4334, 267, 513, 4390, 540, 909, 547, 476, 2420, 737, 310, 568, 2614, 585, 513, 1753, 12123, 6728, 267, 607, 519, 3167, 1286, 568, 6288, 539, 16074, 267, 6028, 7899, 540, 942, 585, 621, 547, 581, 4628, 9901, 676, 6640, 269, 0, 289, 650, 687, 540, 21300, 13475, 616, 1336, 1472, 519, 1158, 269, 634, 1034, 1455, 13475, 616, 519, 1614, 3562, 539, 519, 1886, 617, 13475, 2147, 547, 519, 835, 3254, 1657, 563, 2252, 596, 4755, 547, 581, 513, 25433, 267, 543, 941, 10122, 17878, 267, 596, 1131, 991, 547, 917, 1018, 1826, 540, 21300, 1500, 519, 13475, 596, 941, 1739, 269, 589, 519, 1886, 617, 1223, 1118, 513, 2656, 7594, 540, 596, 563, 5194, 1826, 540, 1614, 3562, 539, 3950, 568, 1500, 676, 606, 15022, 603, 27688, 1014, 21300, 269, 1358, 616, 24549, 2803, 543, 513, 1447, 2693, 547, 1491, 513, 11116, 856, 540, 596, 563, 4322, 1079, 2010, 540, 17878, 2451, 2147, 13475, 267, 855, 596, 666, 2995, 799, 568, 799, 267, 952, 596, 917, 1018, 547, 1413, 585, 563, 763, 1886, 617, 281, 7043, 4741, 1677, 324, 454, 763, 1101, 3364, 596, 4440, 8068, 568, 519, 4099, 23179, 269, 634, 1886, 617, 11640, 24221, 1419, 723, 513, 4099, 23179, 602, 568, 3648, 3476, 982, 519, 19462, 593, 2901, 2427, 563, 13553, 267, 5469, 519, 19462, 593, 2901, 2427, 616, 2673, 538, 547, 519, 3723, 269, 634, 3723, 12705, 568, 5469, 2406, 3476, 982, 2647, 563, 296, 917, 594, 1767, 713, 1354, 267, 855, 1832, 538, 2247, 602, 21300, 29066, 616, 1500, 676, 513, 2713, 3662, 538, 513, 5420, 630, 31053, 538, 713, 2013, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 32140, 273, 267, 273, 267, 273, 264, 3910, 323, 6943, 8782, 842, 3953, 5073, 9795, 273, 815, 5286, 15126, 8443, 263, 272, 267, 272, 267, 272, 32140, 272, 267, 272, 267, 272, 32140, 272, 267, 272, 267, 272, 264, 3910, 323, 6943, 8782, 842, 3953, 5073, 2745, 630, 9795, 272, 994, 2745, 630, 9795, 273, 994, 9795, 272, 815, 23686, 269, 6247, 656, 263, 9795, 272, 994, 9795, 273, 815, 23686, 269, 6247, 656, 263, 9795, 273, 994, 9795, 7272, 6055, 815, 23686, 269, 3901, 332, 592, 263, 9795, 272, 267, 5119, 273, 994, 9795, 23544, 815, 23686, 14491, 263, 9795, 272, 267, 9795, 273, 994, 9795, 318, 274, 815, 5286, 15126, 8443, 263, 273, 267, 278, 267, 273, 32140, 272, 267, 275, 267, 273, 32140, 280, 267, 271, 267, 273, 264, 3910, 323, 6943, 8782, 15615, 3953, 5073, 2745, 630, 9795, 318, 274, 2020, 5976, 23686, 2593, 6312, 18192, 272, 2529, 11970, 3890, 607, 5089, 912, 825, 1267, 272, 815, 5089, 269, 14725, 263, 9795, 7272, 6055, 994, 825, 1267, 273, 815, 5089, 269, 14725, 263, 9795, 23544, 994, 825, 1948, 1267, 274, 815, 5089, 269, 14725, 263, 9795, 5091, 564, 994, 2745, 630, 14310, 272, 994, 2745, 630, 14310, 273, 994, 258, 1820, 630, 14310, 274, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 634, 5295, 540, 10979, 3691, 5474, 281, 674, 29183, 9442, 543, 21664, 538, 13241, 4065, 692, 7072, 692, 1103, 2221, 781, 3728, 19550, 1158, 267, 2500, 2792, 543, 5698, 723, 1831, 1898, 1983, 585, 1967, 538, 1022, 2361, 267, 2523, 538, 2257, 267, 2029, 267, 4702, 267, 543, 6128, 630, 23727, 1040, 1306, 811, 2021, 11654, 11678, 538, 891, 12926, 5256, 26730, 3990, 4610, 267, 5807, 513, 11215, 1565, 1604, 1141, 782, 9739, 616, 4862, 3587, 5051, 1271, 269, 2290, 2241, 2943, 3532, 1907, 585, 8236, 713, 3804, 568, 519, 946, 540, 4672, 3691, 6033, 2238, 269, 901, 3184, 12538, 883, 519, 1148, 543, 2257, 540, 14139, 4672, 3691, 5474, 547, 1628, 4296, 267, 3895, 13784, 267, 543, 3986, 1565, 2833, 585, 1762, 4079, 4974, 2021, 538, 2257, 780, 4089, 476, 272, 281, 4197, 10979, 3691, 5474, 692, 6524, 11362, 883, 519, 1808, 3156, 540, 4672, 3691, 5474, 1369, 13241, 2069, 8658, 267, 621, 568, 2629, 1101, 547, 1174, 1018, 4672, 3691, 5474, 616, 543, 1946, 789, 960, 865, 1134, 693, 2502, 5171, 269, 2311, 922, 4295, 267, 606, 4672, 3691, 6033, 568, 513, 5618, 2534, 2966, 547, 948, 2043, 1205, 31235, 609, 835, 1776, 676, 4687, 2123, 2984, 267, 8369, 267, 610, 4690, 269, 1879, 5402, 5697, 543, 19658, 267, 4672, 3691, 5474, 666, 3927, 3715, 29037, 267, 2569, 4160, 267, 543, 12954, 6209, 7391, 1851, 1895, 2818, 780, 2467, 616, 1896, 1883, 2609, 602, 3565, 547, 3811, 4672, 3691, 5474, 1384, 320, 264, 15765, 30880, 910, 9521, 2757, 15872, 610, 29468, 267, 4672, 3691, 5474, 3747, 3742, 9525, 689, 1169, 16045, 269, 1635, 8506, 3160, 7589, 267, 4672, 3691, 5474, 1377, 519, 4730, 2361, 543, 2327, 602, 1100, 2582, 5639, 2531, 7149, 519, 6643, 780, 321, 264, 15822, 6611, 1107, 589, 1134, 27059, 4672, 3691, 6033, 5932, 513, 2922, 2230, 1141, 5171, 1745, 6899, 11589, 2933, 1510, 4250, 540, 10385, 610, 7759, 545, 2544, 269, 26787, 2666, 3652, 971, 607, 22637, 267, 2463, 267, 543, 3742, 6947, 2337, 11349, 513, 11215, 5790, 20009, 547, 1930, 5188, 780, 322, 264, 7352, 1214, 1107, 22034, 513, 3309, 2039, 540, 4672, 3691, 6033, 12043, 8952, 1919, 4277, 543, 3032, 619, 547, 1114, 1565, 6163, 269, 2368, 2043, 949, 4782, 11913, 15377, 267, 1247, 1866, 1522, 2972, 3308, 610, 10252, 20469, 4247, 269, 17186, 532, 909, 519, 2010, 540, 4672, 3691, 5474, 849, 11151, 27865, 3415, 543, 15387, 15131, 2429, 519, 8400, 780, 323, 264, 25684, 1107, 1677, 11694, 1764, 267, 4672, 3691, 5474, 1058, 581, 4143, 547, 519, 2949, 6662, 540, 519, 11018, 269, 1280, 3236, 267, 952, 519, 1445, 568, 593, 14120, 2021, 538, 2257, 267, 2766, 1681, 4672, 3691, 5474, 1472, 8037, 4775, 3744, 610, 7234, 2591, 5185, 676, 2021, 538, 13241, 4610, 666, 1305, 519, 3159, 585, 6209, 19929, 543, 10319, 1966, 9010, 3646, 780, 4089, 476, 273, 281, 634, 10020, 540, 10979, 3691, 5474, 538, 13241, 4065, 692, 28885, 4672, 3691, 5474, 883, 13241, 2069, 814, 3875, 2640, 267, 3226, 950, 5466, 2152, 4478, 4008, 4763, 543, 10014, 269, 3194, 2982, 602, 2870, 513, 2631, 540, 10362, 568, 2565, 585, 20808, 26173, 2516, 538, 13241, 3292, 630, 5353, 2096, 712, 1299, 670, 1168, 8636, 267, 476, 1960, 278, 1040, 1635, 7598, 4672, 3691, 5474, 21825, 267, 7855, 666, 2482, 519, 5748, 585, 2679, 2178, 3347, 1851, 1053, 267, 5807, 15834, 5698, 267, 543, 7393, 2949, 1565, 4093, 780, 5278, 2081, 4672, 3691, 5474, 666, 1489, 2021, 538, 13241, 1331, 1384, 320, 264, 8490, 22627, 1107, 19457, 2123, 2984, 543, 2833, 998, 4672, 3691, 5474, 2636, 1053, 547, 1106, 7554, 1759, 593, 3838, 9163, 267, 10080, 267, 610, 3853, 269, 1452, 4296, 666, 4196, 607, 4105, 2959, 540, 1489, 543, 19015, 1282, 4101, 4081, 18697, 780, 321, 264, 18964, 667, 5744, 21126, 1107, 12833, 1746, 3403, 689, 782, 5171, 6087, 2516, 547, 4324, 689, 513, 6626, 8552, 540, 2093, 543, 16752, 269, 1401, 19397, 1053, 547, 9867, 5380, 2038, 593, 538, 741, 3872, 15322, 22316, 873, 585, 2104, 21769, 543, 8992, 5647, 780, 322, 264, 15043, 9941, 10341, 1107, 13229, 2792, 267, 5718, 267, 543, 16542, 616, 7533, 3334, 540, 1967, 538, 13241, 22825, 269, 28552, 891, 5759, 3842, 4672, 3691, 5474, 28382, 1053, 609, 3407, 2571, 1983, 2556, 585, 10188, 1950, 3785, 543, 1966, 9010, 7653, 780, 323, 264, 26472, 8682, 7232, 24351, 1107, 27801, 538, 13951, 607, 513, 5827, 15226, 3648, 5222, 4081, 9740, 543, 4876, 17050, 269, 3414, 4672, 3691, 5474, 267, 1053, 2744, 6015, 538, 741, 2702, 547, 3565, 25006, 547, 1895, 5717, 543, 1118, 1713, 26058, 4724, 8757, 741, 2407, 1761, 780, 4089, 476, 274, 281, 7464, 28131, 10241, 540, 10979, 3691, 5474, 538, 6468, 538, 3163, 14691, 692, 2414, 9414, 519, 1379, 540, 4672, 3691, 5474, 538, 2962, 267, 1577, 721, 4983, 1079, 32055, 7341, 6131, 547, 14027, 2021, 538, 2257, 281, 634, 5948, 585, 6468, 538, 9119, 630, 288, 310, 300, 264, 543, 21989, 5808, 8943, 630, 294, 310, 290, 1040, 5637, 3906, 15407, 4672, 3691, 5474, 547, 1390, 1198, 538, 5009, 13784, 267, 2146, 20671, 267, 543, 5578, 1646, 1851, 741, 23466, 780, 320, 264, 5948, 585, 6468, 538, 9119, 630, 288, 310, 300, 2567, 5853, 539, 538, 476, 3192, 272, 267, 32217, 300, 1193, 1161, 547, 2087, 519, 6041, 540, 2021, 538, 6310, 9443, 676, 3246, 13033, 3255, 267, 30023, 3292, 267, 543, 3318, 1646, 2200, 269, 4438, 5993, 11401, 543, 6237, 11271, 19771, 267, 32217, 300, 18271, 4672, 3691, 5474, 899, 834, 12385, 3012, 673, 17726, 25441, 257, 543, 834, 14549, 918, 2254, 257, 547, 7520, 4205, 1063, 28752, 543, 8141, 7391, 827, 1455, 2591, 543, 29217, 4810, 676, 2021, 538, 2979, 5829, 10459, 780, 321, 264, 21989, 5808, 8943, 630, 294, 310, 290, 2567, 28047, 290, 6663, 547, 2673, 519, 4008, 7934, 538, 2780, 2257, 676, 16779, 6690, 9907, 476, 1724, 1700, 1240, 609, 8193, 1983, 543, 11078, 3125, 269, 10801, 4832, 21599, 3292, 543, 1310, 17469, 15731, 267, 28047, 290, 18252, 4672, 3691, 5474, 971, 607, 834, 10521, 18266, 338, 543, 513, 17389, 2437, 834, 300, 6702, 332, 9994, 18975, 7420, 2437, 543, 834, 9928, 822, 10152, 15391, 257, 547, 1711, 23887, 6887, 267, 5818, 1582, 12635, 267, 543, 20741, 5718, 7907, 780, 6962, 692, 3528, 19713, 519, 1379, 540, 4672, 3691, 5474, 267, 7855, 543, 1982, 25696, 666, 1404, 513, 11358, 1909, 538, 5935, 8537, 1565, 5054, 602, 8661, 2021, 538, 2257, 269, 1306, 5941, 2429, 713, 3184, 267, 7580, 6388, 540, 4672, 3691, 5474, 3091, 3875, 2640, 267, 1519, 2799, 7589, 267, 8476, 2792, 267, 4824, 5698, 267, 543, 22541, 14375, 3347, 269, 11086, 267, 8508, 4672, 3691, 5474, 607, 851, 540, 13241, 2069, 21195, 543, 29599, 5752, 8309, 547, 5807, 513, 17321, 2104, 585, 782, 6267, 1765, 2958, 14177, 540, 4008, 3961, 1765, 2421, 8840, 1524, 7496, 543, 6679, 9885, 547, 3808, 1652, 7399, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 22952, 17897, 454, 268, 8262, 12267, 454, 268, 7377, 9177, 454, 268, 11473, 10632, 454, 763, 11588, 540, 4635, 10979, 6601, 5474, 538, 20821, 902, 543, 3718, 10914, 454, 296, 576, 2736, 619, 616, 2442, 2238, 1031, 547, 4497, 5171, 538, 11401, 543, 11925, 269, 1452, 7317, 5751, 616, 2966, 547, 2736, 1524, 7496, 267, 6536, 2792, 267, 543, 1711, 513, 2318, 5790, 269, 6787, 596, 2461, 16475, 513, 2319, 20671, 2680, 267, 2866, 8400, 267, 610, 23730, 5870, 267, 6220, 4672, 2736, 619, 666, 1683, 3875, 2640, 585, 1312, 2043, 543, 2516, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 5383, 540, 1210, 4672, 2736, 619, 538, 11401, 543, 11925, 563, 21886, 2227, 2471, 30880, 543, 22580, 454, 3080, 540, 519, 3119, 2640, 540, 1210, 4672, 2736, 619, 568, 602, 789, 5000, 7589, 543, 6278, 1851, 28752, 269, 12465, 11401, 1419, 4125, 9361, 1780, 1947, 1247, 6947, 547, 14245, 610, 5717, 269, 1717, 267, 4672, 2736, 619, 2154, 3742, 9525, 689, 3025, 1459, 269, 1635, 3478, 1004, 856, 540, 741, 16295, 543, 10283, 538, 535, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 3163, 1299, 7186, 1315, 4937, 1315, 6468, 538, 3163, 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, 6092, 5149, 281, 28037, 1723, 632, 25832, 674, 625, 3279, 16639, 692, 296, 269, 4985, 692, 290, 514, 1723, 632, 25832, 814, 1831, 5051, 2442, 538, 519, 2136, 2276, 607, 513, 30018, 8317, 547, 8661, 11204, 2528, 267, 11951, 267, 543, 6561, 269, 634, 9702, 267, 799, 3217, 1747, 12422, 593, 2904, 476, 276, 628, 267, 6585, 1390, 3140, 4644, 585, 5165, 15092, 1312, 25422, 543, 13383, 269, 1717, 267, 5103, 922, 7839, 2616, 766, 267, 972, 3788, 513, 1455, 31605, 602, 2757, 11204, 8286, 2404, 609, 713, 2680, 616, 20244, 14432, 1813, 547, 741, 7681, 609, 1164, 1608, 7595, 6981, 543, 9761, 5820, 269, 769, 4641, 267, 8076, 11204, 24214, 666, 581, 14312, 1247, 1869, 20808, 922, 7524, 10366, 543, 2189, 11477, 2553, 269, 3414, 18167, 4514, 883, 519, 3638, 1686, 3297, 28037, 1723, 632, 25832, 16873, 543, 3695, 1585, 2732, 7888, 10346, 267, 713, 1576, 1770, 6663, 547, 7006, 601, 1022, 14868, 4478, 519, 9277, 796, 8234, 1465, 540, 11204, 11951, 269, 5015, 267, 676, 6313, 4207, 3466, 2509, 2030, 2861, 11326, 543, 4264, 8105, 2853, 1369, 2413, 11204, 8819, 25348, 267, 1053, 786, 2744, 3407, 4030, 883, 875, 891, 5389, 3136, 9687, 7258, 13346, 6848, 2418, 780, 2862, 269, 8466, 17461, 540, 28037, 1723, 632, 25832, 692, 6524, 11362, 883, 519, 1158, 540, 11204, 5986, 267, 621, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 824, 16991, 4713, 971, 607, 27131, 12263, 543, 524, 27112, 2068, 269, 11531, 267, 971, 3413, 12787, 687, 2611, 5266, 4686, 538, 25013, 267, 1447, 31465, 6082, 563, 30821, 549, 345, 822, 617, 12921, 267, 1152, 827, 476, 11260, 5195, 689, 519, 18940, 8473, 267, 949, 581, 519, 3501, 1747, 547, 8495, 519, 2243, 281, 634, 2557, 540, 6689, 7392, 476, 272, 3987, 538, 6739, 918, 732, 20377, 568, 835, 29350, 628, 602, 540, 18940, 269, 2334, 22880, 3017, 8395, 1132, 12928, 760, 543, 1866, 1317, 519, 1079, 5095, 585, 519, 1034, 851, 616, 16220, 2147, 267, 1256, 4687, 1981, 2188, 585, 7392, 476, 272, 3987, 269, 1358, 849, 2661, 538, 519, 1482, 1016, 541, 8157, 1604, 540, 12566, 7733, 543, 29814, 12647, 267, 4158, 267, 15280, 24475, 543, 1279, 4832, 2395, 269, 12846, 267, 519, 476, 4335, 28902, 10465, 1063, 18940, 543, 713, 6739, 14081, 7436, 835, 540, 519, 14869, 652, 3044, 6361, 2000, 1516, 27080, 538, 519, 1158, 281, 5685, 985, 616, 5722, 2053, 21950, 982, 741, 12543, 2066, 519, 8473, 269, 968, 763, 3017, 568, 1256, 3152, 982, 1063, 6792, 543, 519, 772, 2529, 1421, 892, 12928, 760, 6645, 803, 269, 0, 296, 786, 2628, 585, 519, 1739, 2376, 31123, 30315, 269, 634, 960, 568, 547, 581, 476, 276, 3817, 609, 1614, 547, 2947, 2959, 267, 609, 538, 17856, 14327, 543, 513, 4704, 2985, 269, 769, 519, 476, 4198, 271, 338, 267, 519, 11944, 540, 8392, 641, 668, 8872, 7258, 2663, 2618, 32430, 6527, 1447, 2989, 14320, 519, 4908, 540, 10551, 4238, 585, 519, 16185, 540, 3978, 17867, 4713, 630, 22746, 344, 267, 476, 1001, 272, 1040, 5015, 267, 519, 4351, 946, 540, 705, 331, 894, 2634, 2409, 267, 6140, 10981, 30315, 267, 607, 1134, 607, 519, 9000, 540, 14461, 3652, 585, 3461, 5542, 543, 16283, 2022, 10869, 1344, 6926, 332, 1639, 519, 10639, 540, 2618, 657, 29864, 543, 15427, 3621, 3954, 10586, 543, 1857, 7521, 630, 297, 28427, 267, 476, 1001, 272, 1040, 11048, 267, 2687, 547, 6270, 344, 630, 1001, 272, 1070, 538, 19220, 540, 3395, 6161, 827, 2618, 657, 29864, 267, 519, 13120, 540, 10551, 2409, 543, 519, 9860, 540, 8305, 582, 12519, 5773, 585, 519, 5730, 17568, 540, 705, 6652, 687, 538, 519, 2634, 4847, 2618, 657, 29864, 547, 22036, 2394, 1631, 269, 589, 8466, 5811, 540, 31123, 30315, 634, 476, 4350, 276, 5822, 2622, 6837, 540, 27096, 344, 729, 513, 24182, 538, 2618, 657, 29864, 779, 1686, 269, 674, 738, 517, 543, 10496, 10849, 523, 8385, 11130, 602, 519, 2048, 516, 7611, 540, 28882, 7681, 16794, 685, 949, 1291, 547, 1713, 10970, 2747, 540, 2935, 1229, 2623, 630, 26466, 17507, 267, 476, 1960, 280, 267, 533, 269, 476, 7906, 1040, 901, 2856, 6273, 519, 9565, 14082, 11719, 626, 661, 326, 553, 3933, 714, 547, 25666, 835, 540, 519, 1034, 11786, 2618, 657, 17790, 1505, 540, 2413, 6530, 1765, 331, 984, 30315, 269, 13018, 267, 646, 11130, 543, 4951, 24802, 602, 519, 8851, 540, 519, 28882, 27914, 779, 2498, 5166, 543, 3413, 5166, 11103, 729, 2500, 538, 519, 6646, 540, 15176, 2790, 2550, 630, 306, 752, 553, 1299, 3244, 12121, 267, 476, 1220, 278, 267, 533, 269, 476, 3607, 277, 1040, 30850, 267, 5778, 338, 25973, 517, 6276, 20242, 1206, 543, 11719, 626, 19124, 6154, 17507, 15428, 519, 3933, 714, 779, 4480, 676, 21722, 2048, 10520, 12643, 1388, 28882, 10981, 30315, 685, 543, 2048, 325, 30613, 682, 1075, 30315, 9957, 634, 2039, 540, 17867, 2042, 9833, 607, 4440, 1121, 539, 1221, 676, 971, 2038, 2409, 729, 5555, 9450, 547, 13918, 7803, 2623, 267, 32270, 267, 4965, 267, 543, 18624, 630, 306, 752, 553, 1299, 3244, 12121, 267, 476, 1220, 278, 267, 533, 269, 476, 3607, 277, 1040, 1717, 267, 4049, 2022, 10869, 4093, 899, 2669, 267, 26900, 267, 7214, 9659, 267, 5996, 6160, 687, 267, 543, 2242, 538, 7209, 941, 11911, 547, 10981, 30315, 269, 769, 19220, 540, 891, 3978, 2427, 2360, 267, 519, 1505, 729, 3622, 9833, 607, 3730, 538, 1034, 2550, 543, 3933, 714, 4607, 538, 476, 3707, 280, 519, 17587, 15356, 538, 6925, 968, 1721, 1010, 6602, 540, 519, 9354, 1871, 540, 4776, 30613, 682, 1075, 30315, 538, 1978, 2618, 4680, 892, 630, 22746, 344, 267, 476, 1001, 272, 267, 533, 269, 476, 4343, 1040, 674, 30613, 10981, 30315, 568, 2808, 607, 835, 540, 519, 1034, 31713, 7835, 538, 2413, 6530, 269, 634, 2318, 543, 8716, 21981, 602, 21256, 7258, 713, 1505, 729, 5486, 5896, 5555, 676, 1514, 9880, 543, 2564, 4655, 630, 26466, 17507, 267, 476, 1960, 280, 1040, 769, 1931, 547, 1732, 1174, 519, 2601, 10981, 30315, 2968, 4922, 1031, 538, 519, 2361, 540, 5778, 338, 29864, 543, 2618, 17226, 267, 621, 568, 1271, 547, 1491, 883, 7156, 519, 1808, 2883, 267, 2564, 267, 543, 1514, 3871, 689, 519, 476, 4350, 271, 338, 547, 519, 476, 4198, 271, 338, 630, 306, 752, 553, 1299, 3244, 12121, 267, 476, 1220, 278, 267, 533, 269, 476, 3607, 278, 2567, 769, 476, 4350, 278, 267, 972, 941, 5111, 476, 21878, 1977, 17867, 5238, 267, 1141, 936, 476, 6110, 267, 1822, 2550, 5030, 513, 16981, 543, 26525, 1272, 269, 769, 519, 2136, 2276, 267, 2016, 602, 936, 476, 2004, 260, 540, 519, 6413, 23504, 941, 585, 2790, 10108, 267, 621, 729, 6059, 602, 267, 676, 476, 3707, 271, 267, 811, 982, 2475, 259, 5479, 1131, 581, 2556, 585, 519, 2126, 540, 891, 2550, 269, 3958, 267, 476, 1321, 260, 540, 519, 2367, 941, 15653, 676, 519, 11439, 4229, 1317, 540, 4049, 2790, 4713, 563, 288, 576, 326, 2784, 699, 14142, 2593, 568, 513, 2688, 1603, 3028, 602, 2488, 2228, 593, 24683, 663, 1603, 960, 585, 6351, 5301, 269, 1284, 616, 1210, 5616, 24630, 547, 3986, 707, 1995, 269, 3143, 2123, 1239, 568, 1373, 27424, 563, 17490, 281, 1341, 272, 630, 276, 1240, 264, 476, 275, 1240, 268, 6795, 275, 278, 454, 8794, 713, 3028, 568, 700, 9680, 3201, 543, 4959, 10691, 19275, 676, 1022, 6280, 270, 3712, 5076, 4507, 269, 1411, 616, 4847, 547, 946, 938, 2203, 4081, 4574, 585, 14469, 5301, 1152, 0, 12041, 4433, 2567, 681, 1662, 611, 30277, 267, 2806, 706, 1325, 10275, 14508, 267, 570, 1370, 517, 670, 26196, 454, 306, 7685, 281, 25790, 538, 23008, 2524, 543, 9442, 5525, 630, 3201, 5425, 264, 3883, 10022, 454, 21812, 281, 594, 22835, 6820, 267, 5729, 281, 476, 1708, 271, 454, 1607, 8313, 14405, 30109, 593, 1079, 1565, 26336, 281, 2029, 10276, 327, 2331, 1565, 630, 307, 21822, 264, 543, 13016, 1893, 1565, 269, 898, 24057, 4900, 519, 30566, 344, 540, 6101, 1242, 1565, 543, 688, 2812, 13016, 1565, 607, 513, 14664, 851, 540, 30768, 267, 1247, 849, 2519, 593, 13016, 1565, 896, 519, 513, 1122, 529, 540, 3059, 4066, 269, 898, 6589, 585, 519, 6286, 540, 2110, 2287, 519, 3845, 1063, 6101, 543, 13016, 1565, 540, 2296, 607, 513, 2034, 1893, 630, 299, 273, 1040, 769, 1249, 267, 1210, 23559, 538, 6101, 1893, 1565, 568, 1100, 3209, 1399, 607, 621, 814, 1044, 538, 946, 2094, 519, 27299, 540, 2038, 595, 17920, 538, 519, 476, 3422, 271, 338, 1107, 519, 1974, 1282, 799, 4066, 941, 6964, 538, 9836, 543, 9709, 2081, 547, 7520, 1565, 7271, 538, 6101, 2069, 269, 13536, 593, 267, 8441, 538, 3059, 23559, 338, 5795, 1259, 547, 1007, 1565, 5468, 267, 3255, 267, 2994, 2676, 663, 16578, 618, 269, 25790, 538, 1565, 543, 3450, 26336, 543, 6639, 10124, 25262, 958, 4847, 1514, 543, 10319, 1565, 538, 3068, 3562, 19904, 5468, 607, 1134, 607, 538, 1875, 14194, 3439, 1229, 3871, 267, 7361, 538, 5691, 5624, 269, 901, 1433, 568, 10704, 593, 713, 8545, 1565, 7154, 269, 898, 26520, 593, 519, 26350, 540, 13016, 1893, 1565, 543, 621, 24024, 519, 11876, 641, 5055, 602, 27788, 4928, 1565, 269, 898, 13976, 1700, 10843, 3059, 2029, 1700, 513, 8115, 1063, 6101, 543, 13016, 1565, 269, 634, 5692, 540, 519, 1433, 568, 547, 1489, 513, 7059, 543, 8465, 1565, 1604, 538, 9114, 340, 540, 519, 1279, 28004, 6101, 2069, 26343, 906, 269, 0, 291, 9233, 616, 8197, 812, 779, 1655, 3659, 269, 1452, 15962, 267, 8825, 267, 543, 22488, 2831, 723, 11542, 676, 812, 779, 2427, 538, 26772, 20174, 585, 5215, 540, 1296, 269, 898, 779, 2352, 547, 23231, 971, 513, 1582, 1652, 957, 540, 2648, 267, 7029, 267, 543, 10279, 563, 2691, 621, 2501, 547, 519, 30304, 267, 649, 1683, 938, 5243, 609, 513, 2922, 1747, 547, 3207, 267, 513, 14312, 2732, 267, 2834, 3635, 267, 543, 513, 2603, 540, 2648, 269, 4014, 621, 949, 3100, 2241, 267, 513, 2915, 779, 1072, 543, 1134, 5630, 949, 28173, 606, 8227, 609, 606, 3750, 585, 4576, 4220, 543, 519, 2702, 547, 3343, 2556, 16943, 1416, 563, 291, 690, 15302, 543, 32192, 454, 2252, 596, 723, 513, 2915, 610, 1616, 547, 723, 835, 538, 519, 2104, 267, 1934, 616, 1614, 1919, 596, 991, 547, 917, 827, 269, 1284, 3580, 3533, 1865, 519, 1079, 1034, 1455, 2010, 540, 22578, 3676, 269, 1284, 3580, 849, 1413, 693, 1114, 2126, 3681, 547, 1294, 2436, 789, 2461, 1318, 585, 707, 2915, 543, 930, 23833, 3800, 596, 666, 1491, 563, 2467, 616, 824, 3676, 547, 581, 7255, 827, 267, 855, 649, 786, 1445, 593, 519, 1034, 1455, 1934, 269, 4107, 540, 721, 616, 3222, 602, 4551, 610, 8290, 616, 519, 2014, 540, 782, 3676, 267, 799, 666, 1020, 689, 513, 3099, 540, 2959, 269, 595, 965, 532, 267, 669, 3183, 267, 543, 13165, 616, 930, 540, 519, 2589, 563, 2791, 3580, 991, 547, 917, 1018, 707, 2915, 568, 7925, 547, 1759, 593, 741, 2085, 543, 2564, 1686, 269, 5047, 267, 4587, 5243, 616, 693, 1981, 585, 824, 267, 7654, 14603, 3676, 269, 2368, 1455, 3283, 616, 2860, 267, 27131, 12263, 267, 9667, 1062, 2042, 267, 543, 3987, 563, 2710, 711, 8263, 602, 707, 2915, 568, 4761, 547, 2068, 1317, 596, 3049, 1864, 1134, 543, 3635, 1864, 1419, 269, 3509, 1455, 3676, 666, 1860, 5243, 269, 2368, 14981, 540, 5243, 849, 723, 1808, 12490, 540, 4719, 3676, 267, 8915, 532, 607, 519, 2915, 2085, 269, 1879, 621, 2501, 547, 4719, 3676, 267, 972, 568, 2370, 596, 666, 798, 267, 855, 596, 666, 948, 3432, 909, 6051, 538, 824, 6381, 269, 1879, 621, 2501, 547, 513, 2635, 2783, 267, 2038, 7020, 543, 6616, 519, 4835, 2175, 538, 5243, 568, 519, 1883, 563, 2467, 616, 1079, 2010, 540, 5574, 2139, 269, 1411, 3580, 581, 2111, 547, 1265, 891, 11955, 693, 707, 2199, 4620, 4558, 610, 723, 707, 16943, 1683, 873, 547, 707, 4620, 269, 2201, 519, 824, 1688, 267, 16909, 11955, 616, 3395, 538, 8560, 543, 7145, 607, 649, 1174, 811, 827, 873, 563, 2791, 1522, 723, 4767, 602, 1082, 4620, 5411, 616, 3168, 585, 2067, 5574, 585, 741, 2831, 269, 13928, 5411, 616, 1175, 899, 4896, 3116, 269, 6333, 707, 4620, 779, 1279, 3856, 8957, 2110, 3856, 2360, 950, 7446, 1063, 513, 2067, 16185, 543, 606, 2500, 13310, 6646, 269, 6056, 827, 875, 1279, 519, 2126, 786, 2063, 267, 875, 4049, 519, 17966, 618, 568, 267, 543, 875, 2635, 707, 2915, 729, 1354, 4742, 2192, 269, 6875, 707, 4620, 547, 17022, 2234, 5735, 538, 19264, 2401, 547, 1265, 856, 811, 827, 2126, 3681, 563, 1692, 1134, 596, 1416, 585, 707, 2915, 786, 3648, 1764, 519, 3676, 646, 568, 7925, 547, 269, 1548, 596, 616, 8023, 1864, 568, 513, 2629, 3815, 269, 5269, 2386, 519, 1426, 596, 4444, 568, 1500, 676, 11967, 12478, 269, 15531, 713, 1344, 666, 581, 2944, 693, 513, 2199, 4620, 4558, 610, 2228, 269, 24367, 513, 2973, 1604, 585, 707, 2915, 543, 1010, 2230, 1058, 581, 707, 1985, 10862, 269, 3509, 3676, 666, 581, 15286, 676, 4509, 513, 2973, 543, 7254, 3202, 1604, 269, 8437, 713, 3095, 547, 1451, 811, 827, 2068, 6604, 563, 8245, 2952, 2322, 267, 3945, 3215, 707, 2915, 5781, 786, 1832, 621, 2635, 269, 20290, 782, 3676, 949, 581, 15286, 267, 865, 707, 2915, 786, 2661, 3476, 543, 3251, 609, 596, 585, 811, 1296, 540, 7772, 543, 31070, 269, 2060, 713, 1344, 267, 596, 3580, 581, 1732, 9280, 547, 1683, 707, 4620, 779, 1416, 543, 6484, 519, 3007, 621, 19262, 269, 5269, 2386, 547, 1451, 875, 547, 1832, 707, 2915, 2922, 543, 6899, 269, 6333, 707, 4620, 779, 2085, 267, 2949, 1072, 267, 543, 10335, 540, 1010, 4576, 1354, 14045, 875, 547, 948, 1864, 269, 0, 268, 898, 779, 2693, 602, 4173, 343, 10773, 6547, 786, 723, 519, 1482, 2589, 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 ]
[ 563, 303, 617, 4751, 476, 12553, 1107, 17240, 14004, 2506, 2513, 1143, 9615, 18169, 543, 519, 8138, 12827, 10389, 646, 1706, 514, 267, 30838, 310, 646, 1706, 514, 267, 543, 2112, 325, 18288, 723, 1044, 9516, 585, 946, 538, 10551, 605, 29091, 9471, 563, 303, 592, 14004, 630, 299, 2426, 264, 2506, 2513, 1143, 12580, 1299, 9615, 1923, 772, 15014, 10135, 515, 15436, 1355, 1488, 9374, 630, 6938, 264, 6258, 6168, 901, 16790, 14545, 8376, 563, 11073, 1790, 520, 1304, 946, 540, 1970, 7636, 2597, 646, 1706, 514, 630, 323, 5306, 788, 18288, 264, 585, 519, 2126, 540, 2620, 18916, 24405, 2670, 540, 519, 5580, 17119, 640, 6993, 4791, 4693, 540, 642, 6511, 27806, 12086, 538, 519, 6604, 540, 17422, 2377, 565, 1143, 538, 2550, 609, 9938, 2711, 2620, 268, 557, 514, 24405, 2670, 269, 2304, 2011, 2377, 565, 1143, 267, 849, 1634, 607, 513, 3154, 2377, 565, 1143, 267, 568, 513, 1973, 6077, 31797, 3361, 676, 835, 610, 811, 18616, 540, 2011, 610, 824, 3154, 538, 519, 30057, 1062, 269, 5794, 269, 9596, 827, 2589, 267, 2126, 267, 3123, 267, 5868, 267, 2126, 267, 23567, 267, 543, 6604, 563, 1103, 4791, 8062, 540, 667, 309, 307, 2126, 267, 476, 1556, 267, 476, 1321, 546, 5306, 788, 18288, 814, 1044, 2016, 538, 513, 18262, 540, 476, 1220, 594, 308, 829, 4846, 829, 1554, 630, 338, 17532, 9570, 610, 1079, 5258, 13066, 1040, 1320, 668, 2513, 1736, 568, 1031, 538, 2550, 609, 7372, 17422, 2377, 565, 1143, 269, 2304, 5442, 305, 2362, 982, 476, 272, 269, 280, 729, 6913, 606, 3328, 540, 476, 272, 269, 275, 2395, 19692, 538, 519, 2550, 945, 4607, 2112, 325, 18288, 2687, 547, 519, 476, 1015, 2173, 326, 7014, 7868, 6882, 729, 2404, 609, 513, 2539, 476, 1321, 6377, 2557, 540, 18027, 267, 855, 513, 2362, 2557, 540, 667, 309, 307, 24088, 543, 1100, 3017, 538, 6668, 693, 1079, 1296, 540, 1246, 5346, 269, 476, 736, 2311, 713, 942, 267, 519, 17071, 642, 6511, 524, 6072, 6882, 3112, 581, 2808, 3044, 1101, 11060, 3797, 269, 10666, 476, 1789, 2600, 540, 2550, 609, 2620, 27625, 24405, 2670, 610, 17422, 2377, 565, 1143, 723, 513, 24405, 17232, 807, 563, 8649, 333, 8438, 29079, 2506, 2513, 1143, 281, 12580, 543, 9615, 3849, 2091, 6547, 2404, 609, 646, 1706, 514, 3797, 1331, 11702, 543, 24405, 7514, 9008, 29646, 563, 5278, 2550, 609, 24405, 17232, 5362, 2154, 10715, 1884, 4815, 698, 1637, 5861, 2969, 2480, 534, 589, 11632, 11571, 568, 606, 2473, 11920, 5650, 602, 10905, 1082, 2473, 11920, 2592, 609, 519, 5351, 540, 513, 2780, 547, 5352, 3444, 22891, 543, 1614, 8820, 2592, 540, 4835, 8219, 543, 3889, 540, 519, 1560, 11482, 578, 10552, 16242, 8899, 1973, 2604, 267, 849, 5219, 547, 607, 5492, 3290, 267, 568, 1973, 2604, 602, 568, 865, 1970, 602, 621, 3123, 2589, 610, 4191, 1813, 547, 519, 1970, 2095, 540, 1973, 998, 519, 16209, 543, 15532, 6993, 17422, 2377, 565, 1143, 568, 513, 1973, 8052, 602, 4386, 538, 519, 9641, 2529, 515, 6192, 32031, 2866, 538, 26277, 5669, 11202, 1108, 693, 31869, 1326, 1144, 2160, 4553, 676, 7449, 2133, 1399, 31776, 2866, 538, 7636, 26129, 543, 8097, 21454, 563, 303, 592, 14004, 2377, 565, 1143, 568, 513, 31797, 538, 835, 540, 519, 17422, 16209, 538, 707, 9641, 269, 27855, 519, 11400, 543, 4255, 596, 4607, 602, 3366, 547, 513, 5868, 540, 513, 17422, 2377, 565, 1143, 269, 11997, 267, 1279, 3856, 2126, 609, 30838, 310, 646, 1706, 514, 568, 1031, 950, 667, 309, 307, 4386, 538, 513, 9176, 4807, 269, 476, 275, 634, 11841, 540, 20443, 27625, 555, 668, 2692, 655, 2513, 1143, 568, 2799, 538, 2550, 609, 2860, 13034, 788, 18288, 585, 476, 276, 2395, 607, 3379, 609, 476, 1015, 2395, 538, 519, 3355, 2126, 540, 9938, 2711, 27625, 24405, 2670, 11053, 13015, 585, 21404, 949, 4125, 6527, 602, 3247, 5642, 2530, 543, 2333, 5642, 4222, 543, 5642, 5250, 267, 607, 1134, 607, 29655, 7296, 267, 2834, 3635, 267, 5969, 1394, 593, 4568, 6981, 267, 543, 4189, 513, 7513, 268, 543, 6171, 667, 11656, 7059, 2732, 16638, 1840, 267, 930, 8801, 2360, 540, 4652, 3555, 730, 646, 1706, 514, 267, 971, 607, 24405, 7514, 9008, 29646, 267, 2408, 547, 581, 1447, 2693, 563, 21675, 585, 17422, 2377, 565, 1143, 568, 2147, 547, 602, 585, 2620, 27625, 24405, 2670, 269, 1805, 516, 696, 758, 514, 848, 630, 1805, 516, 696, 848, 264, 568, 2016, 538, 513, 476, 7742, 267, 1822, 16927, 308, 15205, 9570, 267, 4553, 676, 476, 1911, 267, 1822, 594, 308, 829, 5662, 585, 476, 2190, 3108, 269, 2171, 8179, 547, 1683, 2963, 2861, 4808, 3823, 519, 5868, 543, 2359, 540, 993, 333, 8438, 5714, 2377, 565, 1143, 10422, 592, 14004, 2506, 2513, 1143, 910, 9615, 269, 6925, 15187, 1281, 711, 1683, 2564, 5796, 27260, 303, 592, 14004, 2377, 565, 1143, 2377, 334, 937, 3912, 910, 530, 1731, 573, 665, 17780, 593, 24019, 10873, 267, 2112, 325, 18288, 666, 581, 3323, 693, 513, 18262, 540, 476, 276, 610, 476, 1015, 8406, 829, 1554, 269, 8512, 4083, 11828, 519, 6268, 585, 24405, 17232, 5362, 543, 824, 6281, 3123, 540, 27625, 555, 668, 2692, 655, 26382, 2068, 267, 6799, 606, 2963, 2861, 1935, 547, 519, 2126, 540, 667, 309, 307, 543, 18027, 267, 543, 8039, 1699, 7840, 585, 6604, 540, 27625, 555, 668, 2692, 655, 2513, 1143, 10422, 592, 14004, 2377, 565, 1143, 4386, 950, 513, 2620, 18916, 24405, 2670, 9397, 563, 8512, 594, 476, 273, 540, 713, 1079, 12268, 2376, 9619, 519, 5868, 540, 2620, 27625, 24405, 2670, 630, 291, 309, 307, 264, 543, 17422, 2377, 565, 1143, 630, 14154, 1916, 18770, 1734, 538, 519, 23369, 543, 9615, 540, 26590, 17240, 14004, 18128, 2064, 689, 513, 2582, 4791, 4693, 476, 736, 4951, 3773, 4324, 689, 519, 946, 540, 513, 6882, 538, 2550, 945, 941, 8391, 1884, 4815, 698, 1637, 13034, 558, 7514, 4614, 710, 29175, 730, 4630, 7514, 4614, 710, 2157, 630, 30104, 327, 558, 7514, 7322, 8598, 264, 568, 513, 1129, 602, 519, 1560, 6185, 328, 1725, 2670, 540, 12213, 10469, 748, 774, 19407, 2670, 543, 17240, 14004, 2506, 2513, 1143, 269, 630, 339, 13015, 5571, 610, 269, 16953, 585, 519, 5868, 540, 2620, 27625, 24405, 2670, 538, 28105, 563, 303, 592, 14004, 2506, 2513, 1143, 281, 15332, 519, 17943, 910, 5455, 2414, 14630, 290, 965, 267, 9221, 31926, 267, 543, 26032, 540, 7362, 616, 824, 2589, 2404, 609, 5418, 9766, 344, 563, 30470, 4534, 15486, 267, 11916, 2494, 28685, 725, 267, 543, 9615, 540, 7197, 4122, 267, 519, 667, 309, 307, 5956, 538, 519, 1850, 267, 855, 789, 849, 666, 2049, 538, 15532, 1369, 519, 14159, 13570, 610, 538, 519, 7916, 6993, 794, 1063, 519, 9212, 666, 948, 596, 1205, 782, 540, 713, 543, 811, 7868, 4589, 16253, 281, 1677, 519, 15503, 281, 6611, 9993, 19275, 938, 7234, 519, 1585, 5574, 2139, 538, 27243, 27555, 29473, 5477, 2068, 563, 6944, 2858, 1570, 949, 581, 22280, 883, 513, 18916, 610, 519, 11983, 5714, 547, 3986, 519, 11571, 7868, 1981, 2188, 585, 513, 17422, 2377, 565, 1143, 616, 519, 1482, 607, 519, 1981, 2188, 585, 2620, 18916, 24405, 2670, 9950, 1998, 6672, 585, 774, 19407, 17232, 5362, 543, 4033, 18520, 15486, 9615, 540, 667, 309, 307, 9615, 540, 18027, 10644, 540, 774, 668, 2692, 655, 26382, 8376, 22108, 9137, 590, 30708, 269, 2304, 7664, 540, 519, 1353, 2164, 1590, 2015, 519, 1249, 602, 513, 1713, 8167, 540, 2550, 538, 1312, 2516, 5747, 540, 2860, 267, 543, 9039, 5747, 540, 18027, 8160, 6020, 17655, 568, 1928, 1652, 543, 1281, 711, 4125, 2473, 11920, 5982, 2529, 577, 858, 2006, 4607, 1010, 645, 2529, 269, 4110, 609, 4400, 12968, 832, 538, 7350, 689, 20122, 691, 5441, 538, 476, 3192, 277, 7868, 2126, 540, 17422, 30046, 5673, 593, 519, 2014, 540, 519, 2783, 563, 5825, 783, 5796, 585, 2199, 1416, 2882, 18215, 15038, 543, 2199, 3498, 540, 3002, 269, 9596, 827, 31724, 1591, 543, 824, 3676, 676, 4152, 707, 21842, 609, 519, 10552, 543, 28563, 5338, 15136, 13658, 269, 7049, 2045, 32739, 281, 1034, 4122, 267, 16748, 966, 2274, 16582, 10638, 267, 631, 295, 293, 8025, 305, 15817, 267, 19871, 595, 610, 19871, 590, 19518, 610, 606, 527, 603, 13681, 514, 8633, 10638, 11053, 820, 519, 667, 309, 307, 13658, 6875, 519, 12213, 26890, 514, 774, 19407, 2670, 543, 17240, 14004, 2506, 2513, 1143, 13658, 547, 1451, 3123, 267, 2589, 267, 543, 5574, 585, 891, 1079, 5906, 2175, 7868, 1981, 540, 8801, 6547, 568, 5207, 538, 2550, 609, 1022, 540, 519, 1739, 281, 2085, 3152, 982, 476, 4792, 1296, 267, 2487, 6391, 267, 610, 2175, 971, 607, 890, 10364, 22377, 2068, 267, 6797, 2068, 267, 1624, 738, 683, 6955, 14901, 267, 543, 11702, 1019, 520, 4185, 10422, 592, 14004, 2377, 565, 1143, 630, 14154, 264, 4386, 950, 513, 1973, 8052, 20247, 617, 2471, 689, 513, 18916, 267, 12599, 998, 519, 15532, 540, 519, 1560, 267, 543, 25778, 2471, 538, 519, 5761, 269, 0, 347, 26397, 1297, 1475, 4785, 4510, 273, 21878, 275, 589, 2008, 347, 32101, 1297, 1475, 4785, 476, 6187, 270, 13932, 267, 2568, 273, 2008, 347, 26397, 4266, 1475, 13202, 476, 1015, 267, 476, 2735, 275, 2008, 26180, 4979, 4266, 1475, 21801, 476, 1789, 267, 476, 2735, 271, 2008, 19064, 1874, 640, 4266, 1475, 21801, 476, 1789, 267, 476, 2735, 271, 2008, 347, 26397, 1297, 1475, 6187, 272, 5038, 277, 6349, 267, 476, 13932, 2568, 273, 267, 2475, 476, 4510, 273, 21878, 275, 589, 267, 2475, 476, 4510, 273, 21878, 275, 288, 267, 2475, 5025, 268, 4510, 273, 21878, 275, 267, 2475, 4510, 273, 21878, 275, 589, 267, 2475, 4510, 273, 21878, 275, 288, 2008, 347, 1103, 1203, 832, 1475, 298, 3317, 996, 590, 269, 10557, 2008, 347, 24314, 25849, 2465, 1475, 299, 2465, 26366, 996, 590, 2008, 347, 2750, 1636, 27375, 1475, 18693, 289, 18256, 267, 7736, 9616, 267, 4676, 10048, 2008, 347, 15239, 6261, 520, 550, 13022, 725, 630, 273, 1070, 4676, 22235, 676, 630, 1240, 1070, 4147, 5874, 630, 1704, 10245, 347, 2750, 4156, 25103, 281, 2475, 8976, 302, 267, 2475, 8976, 302, 12143, 267, 25385, 659, 523, 564, 2008, 763, 2361, 540, 519, 8798, 25701, 547, 12809, 3859, 8022, 543, 9023, 3457, 269, 769, 1880, 267, 519, 8798, 25701, 547, 8143, 4859, 3457, 602, 1106, 519, 3774, 267, 8122, 610, 6885, 540, 513, 2497, 585, 519, 10110, 5406, 543, 5982, 540, 3002, 547, 610, 689, 519, 2497, 563, 300, 13293, 540, 6149, 267, 1216, 543, 824, 2326, 723, 1044, 1031, 585, 1082, 1296, 607, 3859, 8143, 4859, 23447, 269, 769, 519, 7187, 21571, 519, 2326, 616, 11368, 538, 513, 3622, 5045, 1249, 532, 3774, 610, 8122, 540, 513, 1753, 610, 824, 2497, 269, 1677, 2333, 519, 7145, 540, 971, 23447, 267, 1350, 5074, 949, 581, 17479, 3544, 540, 519, 8143, 4859, 5420, 609, 606, 2011, 7934, 540, 1896, 6279, 972, 24992, 269, 4438, 519, 1554, 519, 8143, 5420, 2112, 916, 543, 1282, 519, 3781, 519, 5420, 10237, 919, 519, 6740, 3002, 883, 519, 2497, 563, 24746, 577, 513, 2241, 1062, 19890, 10237, 919, 3002, 1394, 998, 519, 4837, 547, 519, 3781, 6607, 269, 634, 3002, 2234, 7007, 547, 519, 2497, 9703, 568, 849, 711, 4175, 762, 269, 1677, 7753, 891, 2042, 267, 1940, 762, 1202, 4327, 29198, 723, 1044, 6964, 547, 3382, 519, 8143, 5420, 543, 2061, 5982, 547, 519, 3781, 6607, 563, 309, 757, 2630, 543, 1657, 513, 8143, 4859, 3774, 723, 1044, 6964, 547, 1683, 2067, 2011, 10009, 689, 519, 2497, 9703, 267, 998, 519, 2011, 7934, 543, 1394, 883, 519, 2497, 269, 634, 8545, 814, 1831, 4122, 1634, 607, 513, 570, 668, 2041, 3774, 1310, 519, 5169, 1807, 540, 519, 4480, 563, 5415, 5063, 513, 1382, 1788, 814, 7318, 4232, 23534, 8143, 4859, 8440, 5627, 513, 5123, 1689, 762, 5420, 609, 13471, 2047, 3728, 2989, 593, 835, 2427, 543, 513, 14436, 2627, 593, 519, 6587, 2427, 269, 634, 8440, 616, 4092, 3297, 5595, 1350, 5074, 269, 6270, 1940, 762, 8440, 11863, 519, 2179, 540, 3002, 6740, 543, 519, 2179, 540, 3002, 2234, 7007, 547, 519, 2497, 547, 581, 6417, 676, 519, 17568, 540, 519, 8470, 1312, 1282, 519, 24817, 543, 519, 30148, 269, 634, 4255, 941, 3370, 538, 519, 18619, 540, 519, 476, 273, 526, 2817, 10426, 633, 9891, 10985, 5292, 269, 4083, 630, 11321, 269, 476, 1626, 268, 1240, 267, 476, 3192, 279, 264, 13325, 4659, 540, 5303, 563, 288, 1106, 540, 6885, 9505, 1562, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 786, 849, 1683, 811, 4937, 11310, 5999, 269, 5192, 12600, 15101, 290, 1543, 1299, 5796, 689, 938, 2319, 540, 4966, 9447, 12353, 547, 707, 28600, 256, 4937, 11310, 630, 1321, 7726, 24434, 264, 3163, 630, 12893, 7726, 24434, 264, 2296, 630, 10463, 7726, 24434, 264, 23675, 3163, 630, 3953, 7726, 24434, 264, 10076, 31727, 630, 10602, 7726, 24434, 264, 9119, 630, 9262, 7726, 24434, 264, 4317, 3163, 630, 12739, 7726, 24434, 264, 5843, 13060, 4147, 476, 279, 3163, 3848, 476, 273, 607, 829, 19436, 3883, 1031, 538, 23048, 543, 824, 12140, 269, 630, 273, 264, 3503, 1344, 827, 6778, 321, 520, 1084, 4643, 269, 6468, 941, 16271, 547, 1082, 9993, 269, 1548, 1913, 543, 2453, 1705, 519, 2707, 270, 10461, 946, 547, 1459, 519, 1344, 286, 1548, 8369, 610, 3661, 6898, 616, 10423, 538, 519, 2707, 286, 630, 272, 264, 769, 476, 13970, 274, 519, 2749, 540, 2560, 16414, 729, 22482, 676, 16368, 5695, 802, 269, 3778, 5999, 543, 12226, 910, 13028, 519, 552, 24687, 2593, 2146, 540, 3610, 267, 23003, 543, 1053, 1175, 899, 596, 602, 666, 2626, 1022, 2243, 596, 1522, 723, 593, 3778, 3657, 972, 824, 2959, 799, 1223, 19472, 519, 1344, 2016, 689, 713, 2707, 286, 630, 9989, 646, 3717, 538, 513, 1360, 13730, 610, 9243, 1259, 286, 1040, 476, 272, 268, 1548, 568, 513, 30615, 286, 13095, 22781, 476, 277, 628, 267, 476, 278, 628, 267, 476, 279, 628, 267, 476, 280, 628, 7726, 7433, 476, 1708, 272, 269, 630, 320, 264, 18120, 3385, 630, 321, 264, 7353, 1748, 630, 322, 264, 19877, 338, 630, 323, 264, 8606, 916, 269, 1548, 3159, 1281, 519, 21917, 946, 286, 898, 568, 849, 513, 3501, 1383, 540, 18259, 693, 519, 942, 269, 7726, 476, 280, 269, 630, 320, 264, 645, 1690, 4275, 334, 594, 630, 321, 264, 27517, 2967, 8496, 6409, 571, 334, 630, 322, 264, 623, 21983, 11445, 715, 11446, 320, 515, 321, 630, 323, 264, 645, 1690, 4275, 334, 4083, 269, 7726, 281, 9603, 547, 3668, 540, 799, 3154, 649, 666, 1406, 6633, 4492, 286, 10067, 320, 8274, 4147, 476, 279, 628, 14532, 30930, 2353, 5999, 269, 630, 275, 264, 2560, 8796, 2507, 729, 519, 17135, 4937, 945, 24509, 539, 519, 19036, 569, 2829, 269, 8382, 281, 8633, 269, 630, 274, 264, 634, 18801, 725, 538, 519, 3689, 18471, 7305, 10985, 9863, 547, 581, 2495, 1652, 269, 630, 274, 264, 634, 5518, 540, 519, 1101, 8400, 540, 3642, 307, 10813, 729, 2560, 16414, 269, 634, 3992, 6227, 519, 2347, 7778, 540, 1362, 476, 279, 3848, 476, 273, 5843, 13060, 11053, 641, 923, 4988, 616, 4985, 547, 5843, 268, 13060, 543, 8762, 5735, 267, 1114, 2010, 540, 5843, 268, 13060, 267, 2422, 995, 543, 15053, 995, 5843, 268, 13060, 269, 12056, 2289, 22209, 306, 609, 12729, 590, 712, 322, 2464, 476, 275, 269, 519, 3084, 9754, 540, 7819, 1686, 568, 8149, 547, 4543, 3610, 946, 3119, 2959, 3927, 538, 519, 1547, 1403, 596, 616, 513, 14787, 4974, 13431, 296, 267, 1131, 596, 2015, 713, 2707, 547, 581, 3730, 269, 630, 273, 264, 3503, 827, 519, 960, 540, 590, 2033, 29831, 10202, 538, 9456, 918, 8518, 21983, 269, 630, 272, 264, 1703, 941, 811, 982, 3670, 4627, 1507, 543, 2462, 2560, 8796, 16634, 630, 320, 264, 717, 6951, 327, 23849, 644, 5271, 21280, 6062, 630, 321, 264, 13225, 879, 667, 1690, 328, 28247, 630, 322, 264, 631, 14371, 10611, 534, 1228, 630, 323, 264, 717, 29914, 30730, 717, 758, 327, 1446, 269, 630, 324, 3052, 17199, 267, 2229, 3092, 1070, 1879, 729, 519, 2707, 2813, 286, 630, 273, 264, 4208, 1705, 519, 4095, 2817, 6837, 11198, 519, 6406, 2598, 984, 17171, 11873, 7790, 898, 568, 607, 829, 519, 1699, 21038, 543, 2337, 2491, 1142, 3184, 538, 1469, 269, 865, 267, 2630, 649, 786, 2671, 1101, 3057, 27821, 5420, 1287, 2296, 543, 19446, 543, 538, 2104, 649, 786, 9337, 621, 2687, 547, 10311, 543, 786, 2671, 824, 5420, 2835, 607, 1134, 269, 630, 320, 264, 589, 1495, 327, 630, 321, 264, 808, 327, 753, 328, 630, 322, 264, 966, 611, 617, 4673, 630, 323, 264, 5754, 1457, 21171, 269, 1548, 1909, 1281, 519, 21917, 1404, 538, 519, 2680, 286, 22043, 2626, 547, 519, 2243, 281, 726, 345, 2626, 1250, 2055, 269, 10067, 320, 8274, 4147, 476, 279, 628, 30930, 3778, 269, 898, 5638, 519, 1297, 540, 1004, 2713, 782, 519, 16899, 540, 3127, 543, 5531, 338, 1344, 593, 5641, 525, 267, 10764, 543, 13567, 269, 4928, 1547, 630, 2102, 1968, 1857, 270, 659, 27854, 5858, 1040, 769, 1931, 547, 6218, 519, 28252, 540, 513, 2707, 267, 2307, 3054, 519, 1739, 2055, 281, 6736, 519, 1761, 9186, 543, 7522, 539, 5133, 267, 713, 2707, 1058, 1869, 581, 3730, 585, 12206, 269, 2659, 2079, 593, 5133, 849, 2337, 547, 3715, 707, 1079, 1034, 1271, 7440, 540, 519, 5037, 2443, 516, 2993, 1464, 543, 5133, 538, 519, 476, 1015, 1665, 6905, 3210, 269, 13268, 3790, 1175, 12652, 269, 634, 10727, 540, 513, 2707, 666, 581, 4857, 998, 6236, 519, 1739, 2055, 281, 9603, 547, 519, 7872, 540, 9186, 543, 513, 7522, 539, 5133, 267, 713, 2707, 1058, 711, 581, 6325, 547, 513, 1713, 6708, 269, 634, 1686, 540, 4095, 9597, 1023, 15244, 1394, 547, 519, 2034, 2540, 7460, 547, 476, 279, 628, 910, 476, 1015, 628, 2540, 5084, 269, 630, 273, 264, 1703, 729, 771, 20880, 1851, 519, 9699, 543, 7332, 694, 335, 9081, 269, 1627, 273, 269, 901, 786, 10460, 1082, 7687, 3823, 519, 10727, 540, 713, 2707, 281, 1306, 513, 1267, 267, 1010, 3932, 540, 513, 968, 327, 7026, 9740, 892, 568, 711, 4977, 270, 6325, 269, 2659, 4757, 2232, 786, 711, 581, 3370, 269, 23794, 7417, 289, 10298, 585, 4147, 476, 279, 3778, 3848, 476, 272, 17796, 4864, 476, 4029, 267, 476, 1708, 271, 4864, 476, 1789, 267, 476, 1708, 271, 676, 2398, 553, 13860, 4841, 666, 8281, 3778, 3848, 476, 272, 17796, 5999, 543, 12226, 267, 11872, 267, 23794, 7417, 289, 10298, 585, 4147, 476, 279, 4317, 3163, 2337, 596, 547, 23590, 2347, 31016, 31540, 3557, 8274, 28924, 16086, 543, 6060, 811, 7436, 538, 707, 18362, 269, 8382, 476, 273, 281, 634, 3397, 320, 16679, 20066, 568, 513, 9754, 538, 623, 2317, 799, 3947, 1344, 827, 519, 1686, 540, 8575, 32257, 19413, 269, 630, 272, 264, 2560, 8796, 16634, 630, 273, 264, 634, 4095, 2817, 8136, 1185, 547, 2482, 1524, 741, 7916, 269, 630, 273, 264, 634, 6705, 3323, 519, 1100, 2389, 1314, 3350, 538, 519, 8664, 540, 2560, 8796, 907, 1547, 1879, 596, 1224, 606, 1557, 2243, 267, 2307, 3054, 2048, 1432, 568, 519, 2243, 2731, 6998, 286, 4706, 2470, 607, 513, 3119, 2707, 3947, 3730, 10372, 547, 12206, 593, 875, 4436, 1004, 17814, 13137, 547, 519, 1857, 269, 589, 3102, 6538, 540, 476, 279, 628, 3446, 1686, 17118, 2228, 267, 1449, 707, 1702, 609, 476, 279, 628, 3446, 1686, 7688, 2055, 269, 630, 272, 264, 6904, 19231, 941, 2322, 909, 593, 519, 2349, 2931, 538, 3162, 4000, 2687, 547, 519, 17083, 540, 476, 5002, 277, 286, 1452, 14662, 12224, 29242, 7956, 9248, 585, 4147, 476, 279, 30017, 15401, 23839, 616, 606, 5140, 4199, 585, 1053, 267, 607, 789, 666, 1451, 543, 23590, 998, 782, 519, 1114, 11271, 1459, 538, 519, 21038, 585, 5396, 899, 13174, 267, 3163, 267, 4317, 3163, 267, 19446, 267, 2296, 543, 30017, 15401, 269, 1284, 3580, 1491, 596, 998, 476, 279, 3268, 540, 30228, 707, 2707, 547, 2328, 519, 3501, 17020, 476, 277, 3210, 256, 630, 274, 264, 670, 926, 19453, 9896, 519, 2048, 9743, 745, 618, 540, 7457, 542, 685, 609, 3127, 269, 4208, 941, 2242, 2556, 538, 4095, 2486, 286, 630, 273, 264, 634, 1544, 540, 5137, 540, 1079, 4830, 6082, 267, 3127, 543, 9031, 267, 729, 1500, 676, 2560, 8796, 2507, 907, 1547, 3367, 12989, 717, 298, 5999, 585, 4147, 476, 279, 5999, 12226, 269, 630, 273, 264, 2552, 9084, 540, 6341, 344, 4157, 3279, 26527, 30773, 6341, 16951, 269, 8935, 321, 1206, 12193, 676, 8470, 540, 5403, 3766, 571, 9958, 270, 12854, 20226, 269, 634, 2626, 786, 1118, 930, 3801, 547, 2015, 519, 1871, 540, 519, 2959, 585, 519, 1880, 3483, 2016, 538, 519, 2243, 269, 12729, 543, 18520, 17796, 269, 18766, 689, 2428, 1154, 856, 4834, 543, 4543, 856, 1053, 609, 741, 4081, 13287, 267, 596, 786, 1265, 1864, 2901, 2542, 4278, 14525, 9089, 610, 10962, 513, 2039, 540, 1007, 1004, 547, 519, 6946, 543, 12357, 1158, 540, 6128, 607, 519, 6725, 11347, 540, 6167, 14684, 4569, 306, 665, 269, 3955, 31147, 519, 1557, 2243, 630, 320, 264, 717, 11053, 8160, 611, 330, 3128, 22894, 630, 321, 264, 21926, 776, 320, 2311, 516, 630, 322, 264, 667, 17679, 10422, 582, 323, 541, 630, 323, 264, 1744, 1678, 541, 571, 334, 8061, 269, 630, 272, 264, 11512, 519, 6138, 540, 9045, 344, 27558, 3873, 269, 6744, 519, 2630, 19436, 14330, 304, 5999, 585, 4147, 476, 279, 3778, 3848, 476, 272, 1215, 267, 1879, 543, 7316, 609, 12226, 21584, 1863, 4647, 269, 630, 273, 264, 2560, 8796, 16634, 6496, 519, 2707, 30593, 606, 16786, 286, 1772, 519, 2707, 4143, 547, 1018, 568, 1373, 4280, 286, 630, 272, 264, 25166, 1679, 519, 6898, 676, 7446, 519, 3617, 3681, 269, 630, 273, 264, 2353, 519, 19036, 569, 2829, 24673, 609, 3127, 4849, 519, 2829, 540, 9947, 698, 611, 267, 2560, 8796, 16634, 5131, 7726, 7813, 585, 476, 279, 628, 4147, 4317, 3163, 269, 962, 604, 534, 30715, 6192, 1010, 15101, 290, 538, 476, 1001, 275, 543, 568, 4867, 4974, 519, 25328, 2986, 13188, 270, 28723, 9119, 693, 6167, 14684, 269, 630, 320, 264, 962, 1662, 2779, 571, 334, 932, 24170, 630, 321, 264, 2398, 3578, 341, 4275, 329, 932, 822, 7315, 630, 322, 264, 1744, 1678, 541, 571, 334, 932, 24170, 630, 323, 264, 966, 559, 553, 571, 334, 2677, 327, 332, 4157, 327, 269, 25873, 543, 1265, 631, 21135, 12778, 306, 5508, 4888, 14684, 8991, 689, 5272, 13595, 547, 13724, 2659, 6103, 269, 630, 273, 264, 19413, 10202, 17735, 519, 6348, 18396, 910, 7774, 11873, 269, 630, 272, 264, 634, 14529, 1731, 553, 1500, 11439, 18326, 1996, 519, 3703, 269, 2353, 2055, 543, 4267, 689, 519, 12389, 3163, 3883, 540, 4147, 2560, 5440, 476, 279, 628, 4147, 717, 298, 5999, 12226, 269, 901, 786, 2312, 1053, 22027, 827, 1022, 2243, 543, 2087, 3498, 1983, 1247, 8600, 585, 4604, 11400, 269, 2290, 12343, 540, 1492, 10783, 30038, 600, 773, 15521, 729, 602, 621, 3366, 547, 2799, 11175, 540, 519, 7178, 269, 16869, 11334, 693, 6341, 5995, 518, 298, 531, 12858, 14371, 15843, 814, 2813, 20474, 333, 611, 340, 3557, 8274, 6341, 5995, 518, 17833, 12858, 476, 279, 628, 4317, 3163, 3883, 12226, 543, 10298, 6651, 21584, 5131, 8281, 540, 3778, 267, 17323, 267, 595, 643, 923, 267, 13188, 12910, 476, 272, 267, 476, 273, 267, 476, 274, 538, 2296, 23839, 543, 20474, 23839, 616, 851, 540, 6341, 5995, 518, 17833, 12858, 476, 279, 628, 7734, 10298, 269, 2080, 649, 723, 2016, 570, 301, 3557, 8274, 1715, 28924, 16086, 6341, 5995, 518, 17833, 12858, 476, 279, 628, 853, 323, 4317, 2560, 634, 3778, 543, 11572, 3163, 1837, 540, 4147, 476, 280, 568, 8242, 609, 519, 15428, 21038, 269, 630, 274, 264, 634, 3493, 5962, 26643, 17030, 729, 8547, 676, 2560, 8796, 2507, 907, 1547, 11905, 1570, 568, 4922, 1031, 538, 1686, 3450, 693, 1153, 267, 855, 1419, 621, 568, 1360, 1114, 689, 519, 1483, 3364, 269, 1215, 1677, 16797, 569, 265, 543, 4469, 1177, 8393, 8890, 572, 7073, 3778, 17796, 269, 7726, 8382, 282, 3127, 3778, 5999, 543, 13658, 282, 1627, 272, 269, 32516, 1107, 476, 276, 910, 12892, 543, 16241, 1234, 13257, 269, 630, 273, 264, 634, 4095, 6554, 3323, 7128, 2962, 1996, 519, 715, 714, 600, 269, 630, 273, 264, 1703, 729, 7771, 540, 2757, 6080, 538, 3127, 269, 26257, 23048, 12726, 7726, 14430, 1299, 5530, 10049, 585, 1362, 476, 278, 8400, 476, 1001, 280, 910, 476, 1708, 271, 585, 23527, 538, 7300, 1106, 547, 1863, 4647, 585, 2259, 269, 1452, 2959, 4196, 607, 519, 6151, 1570, 602, 596, 3580, 5659, 543, 30075, 538, 1931, 547, 2626, 707, 1382, 2243, 267, 543, 789, 786, 1106, 1883, 4773, 540, 2963, 538, 707, 1957, 779, 4661, 269, 630, 272, 264, 966, 6185, 2529, 822, 1046, 541, 3957, 519, 6560, 540, 476, 6977, 278, 607, 2560, 8796, 2507, 1547, 1656, 602, 12109, 1186, 909, 938, 3391, 547, 3927, 30228, 15101, 290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9199, 767, 538, 519, 476, 5197, 271, 338, 729, 1360, 1114, 982, 621, 568, 2221, 269, 4658, 1705, 711, 723, 6517, 547, 454, 1862, 3004, 1231, 269, 7841, 10596, 769, 476, 6977, 273, 267, 519, 1101, 16456, 13475, 941, 9788, 538, 10830, 328, 731, 267, 11882, 563, 14367, 1101, 21525, 12067, 6743, 899, 519, 4605, 547, 519, 2451, 269, 3267, 4014, 519, 1101, 11739, 4177, 454, 322, 1513, 941, 711, 1360, 18241, 267, 519, 834, 303, 1638, 2006, 257, 1286, 2968, 1360, 6899, 543, 1256, 4429, 13356, 476, 277, 267, 476, 1001, 273, 3267, 769, 519, 476, 5197, 271, 338, 267, 585, 1383, 267, 10707, 513, 1906, 4627, 5195, 538, 519, 7330, 3267, 568, 711, 454, 31138, 899, 2799, 3432, 540, 14884, 910, 855, 7269, 540, 513, 7841, 3267, 6382, 454, 2288, 339, 972, 941, 14884, 538, 476, 5197, 271, 610, 476, 8146, 271, 630, 719, 2515, 540, 519, 1558, 549, 2127, 1916, 25567, 753, 945, 1185, 10272, 4789, 547, 1294, 1007, 9252, 21525, 582, 1161, 941, 454, 11069, 5962, 602, 3267, 27678, 540, 14884, 1331, 26708, 14884, 267, 9252, 14884, 267, 5755, 14884, 454, 663, 824, 16456, 532, 7044, 269, 3267, 32274, 16456, 1646, 689, 519, 2038, 454, 5197, 271, 338, 547, 519, 476, 7277, 271, 338, 267, 713, 2985, 568, 513, 1434, 3267, 901, 3896, 568, 899, 513, 16150, 1504, 1686, 454, 13202, 476, 1015, 267, 476, 1001, 271, 3267, 1635, 519, 1647, 540, 519, 476, 5197, 271, 338, 267, 13897, 9897, 1185, 1044, 3710, 538, 2694, 540, 519, 4182, 269, 3267, 769, 454, 866, 628, 10601, 1977, 2528, 267, 16456, 338, 941, 811, 982, 1175, 513, 1259, 547, 2951, 563, 9199, 1231, 849, 1336, 741, 1259, 883, 519, 1568, 540, 5830, 899, 25453, 9546, 4777, 4429, 18455, 2016, 1804, 8778, 338, 540, 2244, 676, 519, 2229, 519, 16456, 338, 941, 6368, 2111, 454, 1862, 519, 803, 8615, 268, 1067, 3455, 3350, 950, 4130, 3515, 899, 519, 7910, 1014, 24020, 454, 26200, 3267, 18290, 7302, 12097, 543, 1082, 18213, 14884, 941, 8920, 777, 573, 730, 609, 454, 14532, 540, 519, 2413, 14884, 21269, 519, 2039, 540, 2063, 1079, 4627, 1296, 540, 2413, 454, 16058, 3267, 3004, 1231, 543, 7841, 1811, 941, 1459, 538, 938, 1686, 689, 2038, 476, 5197, 271, 338, 267, 855, 3267, 0, 1607, 3391, 1496, 295, 16730, 316, 2488, 1455, 2631, 3268, 3885, 666, 1491, 547, 5965, 585, 2067, 12469, 607, 1134, 607, 1620, 519, 4220, 1141, 596, 2661, 563, 2171, 1058, 2307, 873, 547, 2097, 547, 835, 540, 19014, 543, 1577, 721, 1404, 609, 713, 269, 5994, 1018, 13460, 1223, 865, 609, 713, 2029, 2336, 763, 2817, 2276, 22127, 6176, 7027, 630, 10064, 294, 2975, 264, 8274, 540, 6034, 832, 796, 29434, 3585, 31045, 2487, 4808, 3812, 676, 519, 5004, 5948, 585, 17721, 7353, 6945, 13240, 11752, 832, 630, 31778, 4916, 1040, 634, 4808, 7291, 1655, 2853, 585, 12504, 7834, 543, 2520, 2214, 7652, 1239, 269, 634, 30684, 4916, 4808, 267, 7550, 676, 741, 3919, 538, 5147, 267, 616, 2966, 547, 1683, 513, 1582, 15696, 17419, 5943, 585, 922, 4015, 540, 4357, 10909, 7722, 538, 2520, 2214, 7652, 4066, 543, 1239, 269, 1358, 616, 5497, 547, 1683, 5583, 593, 950, 3549, 1058, 3343, 1367, 9844, 585, 11018, 2520, 2214, 7652, 1239, 543, 950, 971, 1239, 616, 711, 1786, 2286, 7834, 4145, 543, 786, 4196, 1857, 1434, 269, 898, 9607, 971, 2152, 607, 2520, 2214, 7652, 1239, 6508, 689, 19666, 11052, 543, 5373, 519, 1899, 693, 711, 10655, 1483, 6066, 267, 13948, 30753, 1239, 563, 763, 22085, 294, 2975, 31045, 519, 1455, 1606, 1619, 4808, 1282, 741, 4864, 8274, 5870, 269, 22085, 294, 2975, 5518, 17125, 2421, 9652, 568, 20926, 607, 6031, 267, 968, 296, 6557, 1360, 10583, 602, 938, 4604, 19500, 538, 796, 2581, 593, 713, 23596, 618, 269, 1284, 11207, 3858, 609, 30684, 4916, 593, 713, 3390, 267, 543, 621, 779, 1360, 1271, 585, 519, 2872, 607, 513, 2898, 543, 1346, 540, 721, 538, 2229, 547, 581, 593, 519, 1482, 2985, 1848, 901, 13976, 593, 22085, 294, 2975, 779, 4540, 3609, 827, 1018, 1239, 1058, 581, 2808, 4357, 543, 1018, 3884, 1406, 269, 3557, 22127, 6176, 3590, 630, 31043, 264, 25640, 5646, 15078, 723, 6444, 519, 6988, 540, 519, 3390, 4478, 7834, 585, 4961, 269, 2311, 519, 1482, 942, 267, 11999, 6848, 2640, 666, 581, 6591, 676, 16107, 22944, 4066, 543, 1239, 269, 634, 30684, 4916, 4808, 616, 3551, 543, 1058, 581, 4294, 8449, 2066, 519, 4357, 543, 1857, 9922, 563, 1607, 3043, 1957, 5359, 593, 519, 6595, 543, 9568, 2359, 2146, 3210, 543, 6051, 4245, 4121, 538, 519, 1296, 2094, 23587, 15576, 27444, 269, 15788, 713, 568, 513, 1434, 1867, 543, 606, 4277, 1224, 267, 855, 19890, 519, 1909, 602, 2520, 2214, 7652, 1239, 543, 2029, 5129, 538, 713, 1184, 568, 4503, 538, 713, 1867, 269, 634, 1871, 540, 7851, 543, 11837, 568, 5693, 8612, 267, 855, 519, 5359, 3765, 4926, 519, 27099, 15870, 267, 543, 849, 27235, 11225, 22944, 607, 6820, 6176, 7010, 950, 7234, 11837, 267, 865, 602, 519, 5817, 2520, 2214, 7652, 2029, 1373, 1031, 568, 711, 2312, 563, 2467, 616, 513, 1297, 540, 2731, 1434, 4052, 7840, 538, 713, 1867, 269, 7849, 12469, 899, 19996, 15576, 27444, 786, 4755, 1586, 267, 855, 689, 519, 4245, 4121, 519, 3804, 568, 547, 1118, 2386, 602, 606, 16283, 3210, 1281, 711, 269, 634, 1283, 2185, 1491, 25498, 689, 519, 1867, 616, 782, 827, 6043, 267, 543, 1331, 513, 1289, 547, 9784, 23982, 267, 1711, 14388, 2950, 267, 2936, 4245, 4121, 267, 543, 4142, 6510, 7616, 547, 1711, 14388, 1949, 543, 2950, 602, 786, 22036, 9568, 811, 3927, 267, 14123, 513, 811, 4028, 543, 2347, 3210, 543, 6051, 563, 2414, 4647, 519, 1867, 4945, 28313, 563, 4002, 11728, 713, 3018, 519, 22085, 294, 2975, 8274, 540, 6034, 832, 9516, 519, 476, 1001, 276, 910, 1704, 21864, 17644, 269, 634, 1646, 540, 519, 7580, 3853, 568, 519, 1267, 540, 1082, 3108, 540, 4901, 543, 5872, 676, 5718, 269, 898, 782, 3459, 538, 5988, 609, 513, 4759, 5619, 543, 513, 4058, 18956, 607, 851, 540, 519, 4571, 4458, 5870, 538, 7788, 24550, 269, 594, 666, 2161, 891, 3853, 5963, 2992, 519, 13942, 540, 519, 15376, 543, 594, 9684, 782, 945, 15548, 543, 3177, 5955, 547, 519, 5619, 563, 2467, 616, 513, 1906, 3688, 547, 1448, 856, 827, 519, 7580, 3853, 269, 1411, 786, 5469, 602, 519, 4295, 5075, 543, 5692, 540, 22085, 294, 2975, 814, 711, 4957, 269, 634, 2983, 2214, 7652, 4223, 12053, 10495, 267, 519, 22944, 22802, 543, 14957, 585, 519, 2817, 2983, 2214, 7652, 4578, 2920, 2611, 29691, 540, 519, 1592, 540, 938, 14422, 269, 1411, 786, 849, 5469, 602, 519, 3561, 814, 1044, 29765, 14320, 547, 2185, 3817, 269, 1306, 513, 1267, 267, 519, 3561, 3294, 1058, 581, 4443, 547, 1224, 543, 1174, 563, 763, 2063, 6221, 594, 786, 1448, 856, 568, 519, 1445, 593, 2679, 811, 1489, 585, 4759, 7589, 269, 15557, 4862, 968, 331, 3716, 543, 2312, 892, 519, 991, 547, 1332, 938, 4759, 3490, 543, 1683, 2799, 3255, 585, 1699, 2818, 547, 7119, 267, 865, 602, 568, 1018, 649, 4076, 2944, 269, 25779, 476, 274, 568, 8185, 5059, 593, 5355, 4759, 2208, 543, 7589, 563, 763, 22085, 294, 2975, 21864, 17644, 666, 581, 1336, 693, 519, 1739, 3095, 269, 5291, 2517, 4178, 269, 985, 11551, 3820, 9706, 3016, 318, 637, 1545, 270, 10064, 294, 2975, 318, 25618, 545, 318, 7883, 1023, 318, 1001, 276, 268, 1001, 278, 318, 7343, 28508, 15005, 454, 2419, 5142, 667, 14525, 267, 5518, 7232, 937, 454, 2691, 621, 2501, 547, 519, 946, 543, 6057, 540, 22214, 344, 916, 267, 22085, 294, 2975, 3217, 513, 1394, 572, 520, 547, 1100, 835, 269, 20876, 602, 711, 16764, 267, 3226, 1007, 2818, 543, 1007, 28752, 547, 938, 19014, 267, 786, 1174, 782, 540, 519, 22214, 344, 916, 10760, 1472, 267, 519, 16840, 1222, 7896, 9730, 814, 2813, 513, 29395, 585, 2818, 543, 10554, 28752, 547, 946, 269, 15439, 979, 547, 519, 3896, 543, 946, 513, 1265, 4971, 547, 1451, 1018, 602, 27099, 5921, 269, 634, 29395, 786, 581, 8242, 607, 2877, 267, 3226, 1991, 547, 519, 1079, 5993, 19014, 563, 2252, 596, 723, 1044, 547, 1022, 22085, 294, 2975, 5870, 267, 610, 723, 1224, 519, 4989, 476, 1724, 628, 2022, 593, 519, 2817, 17372, 18482, 27169, 5870, 538, 6931, 628, 32337, 267, 15930, 267, 596, 786, 917, 602, 16734, 519, 1646, 540, 513, 15597, 3015, 2817, 17372, 8672, 18482, 630, 2793, 11520, 264, 609, 2473, 543, 962, 10974, 267, 568, 513, 1360, 1164, 10862, 585, 519, 2817, 2276, 22127, 6176, 7027, 630, 10064, 294, 2975, 264, 543, 1082, 1866, 269, 27819, 782, 2229, 3028, 6765, 3340, 513, 715, 4338, 291, 267, 543, 2870, 835, 786, 3648, 2569, 2229, 5918, 6473, 540, 4674, 543, 3653, 563, 763, 3803, 1867, 689, 519, 2817, 17372, 18482, 27169, 5870, 568, 1631, 2139, 693, 713, 3095, 269, 1411, 666, 849, 1265, 811, 1344, 593, 519, 27169, 20051, 267, 1519, 519, 14245, 267, 693, 713, 3095, 269, 22085, 294, 2975, 3507, 919, 519, 3646, 540, 519, 772, 2529, 269, 4972, 540, 18815, 547, 3984, 713, 5870, 543, 960, 593, 713, 1271, 11036, 563, 297, 574, 700, 2329, 630, 310, 529, 15898, 264, 814, 11540, 513, 7008, 540, 7044, 547, 13334, 7282, 519, 2817, 4400, 16816, 3363, 22878, 5358, 630, 26822, 4338, 264, 11450, 1982, 269, 1452, 7044, 267, 3254, 693, 513, 2487, 2817, 7913, 13106, 334, 19960, 2044, 5358, 630, 21254, 8008, 264, 5870, 267, 948, 519, 21951, 547, 1174, 519, 2956, 540, 11558, 543, 12352, 547, 1020, 5812, 267, 6325, 543, 13387, 11052, 2066, 519, 598, 32558, 748, 2136, 2276, 585, 519, 4324, 540, 782, 1455, 3096, 267, 2115, 543, 1239, 4015, 563, 12552, 547, 19375, 11709, 327, 809, 267, 22085, 294, 2975, 16840, 1222, 7896, 1071, 7302, 1515, 585, 4259, 909, 513, 22085, 294, 2975, 13334, 8756, 267, 835, 811, 4674, 547, 1683, 3025, 609, 513, 21950, 15376, 1995, 563, 1607, 2376, 6257, 519, 2591, 540, 3478, 711, 1182, 856, 547, 519, 1318, 1004, 538, 519, 1318, 4025, 693, 519, 1318, 942, 827, 5906, 2175, 538, 741, 1858, 563, 296, 4862, 713, 4062, 593, 715, 11266, 543, 2219, 621, 729, 7168, 546, 7568, 3579, 256, 1358, 2461, 10655, 15624, 1606, 712, 1027, 2592, 543, 2584, 6945, 11496, 2553, 547, 556, 268, 22056, 4609, 543, 13742, 10032, 538, 519, 5664, 5101, 563, 4002, 13628, 2904, 476, 2641, 560, 267, 476, 1001, 276, 594, 13984, 519, 1101, 268, 1197, 968, 24961, 25070, 892, 2680, 18799, 676, 519, 6519, 5600, 630, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 321, 295, 304, 327, 6924, 321, 311, 291, 336, 326, 15426, 3502, 1152, 729, 621, 513, 16854, 8956, 547, 2099, 22085, 294, 2975, 267, 621, 729, 513, 2123, 1995, 594, 786, 711, 4166, 7340, 269, 634, 2680, 3576, 1747, 538, 519, 29276, 327, 1077, 15445, 8433, 8490, 593, 519, 6519, 5600, 12406, 269, 769, 20343, 941, 513, 3099, 540, 5313, 8041, 267, 1875, 17416, 2516, 267, 930, 3486, 13222, 543, 513, 1360, 1507, 1297, 540, 585, 17416, 3549, 563, 763, 3804, 540, 519, 2680, 729, 547, 968, 2507, 576, 14896, 622, 543, 8362, 7119, 538, 7046, 29570, 1848, 7046, 11837, 568, 3006, 5219, 547, 607, 15624, 11837, 610, 24921, 712, 1027, 11837, 269, 634, 6519, 5600, 16436, 594, 4607, 7150, 267, 968, 2507, 613, 2214, 7652, 1239, 814, 1044, 513, 1883, 5057, 540, 519, 10029, 779, 7046, 4578, 7341, 892, 543, 15469, 519, 10934, 12315, 1788, 630, 10674, 2517, 14090, 326, 633, 269, 8063, 10993, 11320, 1506, 2173, 777, 270, 3738, 607, 513, 4358, 1448, 585, 14245, 543, 4901, 269, 1703, 814, 1044, 16854, 1967, 538, 1930, 11837, 3646, 1282, 543, 1310, 12469, 267, 799, 568, 835, 2601, 519, 6519, 5600, 568, 16994, 593, 5009, 621, 269, 6201, 540, 3811, 15624, 11837, 616, 519, 27425, 13091, 538, 476, 1001, 271, 267, 24954, 17061, 538, 4639, 4000, 267, 13372, 267, 543, 18310, 12469, 563, 763, 6519, 5600, 4371, 519, 2680, 547, 6318, 4656, 540, 1930, 11837, 538, 519, 2136, 2276, 267, 543, 547, 1332, 519, 1297, 540, 15321, 544, 1952, 619, 269, 29934, 4315, 1185, 519, 4316, 547, 4497, 538, 835, 540, 1614, 11837, 2238, 269, 10934, 326, 633, 267, 5295, 6796, 9351, 29570, 630, 320, 1982, 896, 1646, 676, 519, 1546, 696, 269, 540, 6052, 1070, 543, 5272, 17718, 538, 513, 5244, 630, 534, 11036, 602, 786, 2087, 9744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3871, 607, 789, 8694, 513, 1079, 6377, 5870, 538, 25611, 269, 769, 606, 13778, 1397, 540, 6161, 936, 2487, 7835, 267, 519, 2021, 4325, 5474, 1767, 789, 941, 813, 6817, 676, 519, 968, 341, 5534, 10963, 1373, 10419, 3603, 1996, 2021, 543, 6690, 892, 538, 513, 16672, 9783, 693, 519, 476, 280, 628, 20051, 540, 6468, 4325, 5474, 540, 12057, 6896, 676, 7379, 308, 269, 1358, 12006, 741, 6161, 602, 1034, 540, 519, 476, 24129, 30645, 1153, 326, 597, 3149, 32043, 11474, 676, 645, 32634, 4498, 600, 4505, 713, 1032, 2611, 7508, 2185, 3275, 1310, 741, 705, 9134, 269, 1496, 1348, 811, 2639, 288, 2101, 9205, 8858, 1373, 9250, 538, 25611, 593, 476, 272, 560, 5181, 568, 519, 5767, 538, 513, 1032, 17489, 4674, 547, 8661, 7379, 308, 779, 476, 10219, 628, 16683, 269, 634, 8858, 786, 581, 593, 4159, 2059, 519, 2372, 2967, 14355, 593, 8235, 25611, 2394, 476, 866, 628, 5239, 543, 5205, 519, 3932, 540, 519, 476, 14530, 560, 7379, 308, 13909, 269, 9980, 12822, 968, 13640, 8365, 776, 2962, 585, 4708, 543, 9111, 5608, 519, 8858, 568, 7768, 540, 476, 2004, 8440, 602, 1331, 513, 3126, 540, 13371, 17446, 593, 1612, 2993, 14613, 543, 9111, 676, 30473, 4149, 342, 1170, 20419, 626, 645, 1551, 8982, 269, 1496, 1348, 811, 2639, 288, 2178, 543, 3608, 14618, 568, 2565, 547, 9111, 269, 7379, 308, 1568, 547, 1118, 1612, 2993, 14613, 811, 2500, 538, 16180, 741, 2229, 23388, 543, 15424, 5107, 267, 538, 10018, 532, 1004, 779, 2924, 543, 23118, 543, 538, 17516, 4708, 543, 1646, 563, 20779, 7100, 1797, 782, 9739, 616, 4862, 269, 7379, 308, 568, 8149, 547, 4180, 602, 2021, 910, 3368, 540, 519, 1158, 779, 2551, 910, 616, 2111, 547, 7119, 8449, 538, 6214, 269, 4706, 2189, 1382, 543, 1239, 593, 2021, 779, 2797, 7589, 568, 513, 4922, 1031, 3046, 10309, 593, 3356, 563, 7709, 308, 779, 3119, 3853, 616, 4708, 543, 9111, 269, 898, 3947, 2027, 10862, 547, 7303, 543, 14874, 4655, 998, 2797, 5188, 269, 898, 20781, 547, 16839, 799, 1860, 1158, 610, 6237, 3354, 543, 21697, 1978, 4655, 3871, 563, 13640, 8365, 814, 513, 2027, 5539, 547, 2327, 1480, 2924, 616, 15197, 269, 7379, 308, 2488, 4027, 543, 2699, 816, 547, 631, 11679, 693, 1981, 540, 6057, 543, 2337, 1612, 2993, 14613, 547, 1118, 1480, 2924, 513, 4641, 585, 3025, 563, 13640, 2993, 14613, 1404, 513, 2565, 1909, 538, 1514, 543, 2804, 1646, 269, 7379, 308, 7028, 1612, 2993, 14613, 593, 1883, 3486, 1646, 3853, 267, 593, 1818, 1646, 5351, 811, 2500, 543, 593, 14304, 25931, 2962, 593, 2916, 1689, 563, 7709, 308, 1568, 5702, 609, 519, 2136, 8315, 543, 824, 3818, 2000, 8632, 4703, 547, 2327, 972, 568, 513, 25931, 10155, 547, 3486, 9316, 267, 2518, 10350, 607, 1134, 607, 538, 519, 6571, 540, 2101, 3486, 2152, 563, 7709, 308, 6770, 1927, 14618, 12579, 689, 1472, 519, 1158, 547, 8362, 1265, 3435, 547, 2518, 543, 6237, 2042, 563, 2791, 666, 1265, 513, 1592, 540, 8892, 15638, 1934, 563, 294, 2894, 14110, 288, 267, 476, 1321, 268, 1626, 5239, 476, 1001, 275, 454, 291, 11190, 25605, 267, 476, 2537, 268, 1839, 5181, 476, 1001, 275, 454, 305, 5723, 2969, 267, 476, 3066, 268, 1789, 5181, 476, 1001, 275, 0, 32354, 3212, 3205, 630, 528, 21942, 267, 13100, 3205, 264, 630, 9799, 1063, 476, 14991, 272, 543, 476, 14991, 274, 282, 5747, 5412, 476, 13679, 271, 610, 5130, 476, 13679, 272, 543, 12617, 476, 1626, 5130, 476, 13679, 272, 264, 729, 606, 2296, 21917, 267, 1418, 626, 543, 2205, 326, 1400, 626, 269, 6736, 4936, 7826, 10709, 902, 693, 513, 942, 950, 621, 729, 10363, 711, 547, 24049, 547, 5783, 540, 4789, 4978, 543, 2853, 267, 646, 729, 3810, 22644, 539, 585, 1010, 7574, 5759, 543, 4371, 9708, 693, 853, 6754, 781, 24130, 543, 267, 621, 568, 5156, 267, 31689, 30745, 269, 3571, 3977, 3769, 1312, 10723, 543, 16712, 2575, 538, 3029, 971, 607, 931, 677, 2575, 267, 13691, 4773, 267, 14834, 3419, 1023, 543, 2138, 1115, 563, 1607, 7127, 568, 689, 9504, 267, 519, 3593, 9762, 30744, 22605, 269, 898, 949, 711, 723, 1044, 12649, 676, 3318, 15769, 543, 568, 13931, 896, 606, 21922, 27691, 732, 2704, 833, 11300, 12780, 17821, 269, 1403, 596, 1265, 519, 12092, 1543, 1249, 1302, 11234, 267, 1219, 600, 2218, 610, 3810, 18086, 596, 666, 12575, 713, 2376, 693, 9504, 269, 4855, 856, 811, 827, 938, 946, 540, 713, 1239, 269, 0, 8138, 2466, 513, 1007, 1357, 3135, 585, 2689, 543, 7608, 10311, 786, 581, 3370, 547, 519, 3135, 563, 19322, 24628, 5680, 26317, 454, 9209, 2873, 689, 27429, 679, 9871, 2664, 553, 585, 10026, 543, 1164, 1153, 1053, 563, 268, 11707, 910, 9906, 15610, 630, 288, 2471, 476, 1556, 543, 909, 994, 763, 10231, 540, 606, 18914, 267, 519, 973, 11798, 540, 513, 17991, 7784, 267, 519, 5163, 540, 513, 2230, 15177, 267, 543, 519, 2962, 540, 513, 18343, 1283, 22433, 666, 581, 9916, 543, 6956, 998, 519, 2257, 540, 11707, 269, 769, 782, 891, 3527, 267, 1978, 2489, 3741, 267, 610, 4031, 540, 2470, 267, 3180, 3020, 269, 1452, 3741, 1118, 909, 519, 2257, 540, 11707, 269, 23317, 9388, 609, 519, 2623, 540, 4703, 896, 519, 3310, 540, 4229, 267, 543, 519, 4031, 540, 11707, 4019, 2436, 519, 4703, 616, 1804, 610, 1507, 267, 4396, 610, 5714, 267, 16889, 593, 519, 3047, 779, 2627, 610, 10707, 538, 9018, 2230, 269, 0, 763, 10656, 2229, 568, 16287, 519, 476, 2412, 628, 16683, 540, 519, 2622, 11595, 13482, 609, 513, 3126, 540, 2621, 593, 4873, 476, 1626, 543, 476, 1704, 693, 2622, 11595, 4609, 2066, 519, 13814, 269, 634, 2832, 568, 547, 1397, 875, 519, 8370, 1114, 4609, 1404, 513, 1909, 538, 10213, 519, 1686, 540, 519, 10656, 1004, 543, 741, 2197, 269, 634, 4609, 1331, 519, 9197, 1662, 9754, 540, 18229, 543, 4187, 267, 519, 2142, 655, 3122, 1135, 1457, 630, 874, 9369, 264, 543, 519, 24545, 12324, 8258, 267, 799, 729, 3773, 547, 519, 2622, 11595, 1592, 538, 476, 1001, 271, 269, 634, 681, 2884, 557, 671, 4149, 577, 337, 7238, 1457, 5600, 538, 7780, 516, 19816, 568, 849, 593, 519, 1592, 607, 606, 14222, 1383, 540, 2413, 6189, 269, 634, 2042, 540, 6561, 2311, 513, 5870, 538, 25362, 2471, 4505, 538, 519, 3923, 267, 1079, 4627, 3486, 6561, 4966, 1558, 547, 1865, 519, 2042, 5532, 547, 519, 1133, 525, 1723, 6003, 269, 634, 10554, 729, 22555, 676, 25362, 2471, 3276, 24555, 2120, 18536, 7720, 6511, 1068, 538, 3210, 547, 513, 2565, 1867, 676, 1133, 525, 1723, 593, 519, 2749, 267, 799, 729, 3773, 547, 519, 2622, 11595, 5903, 538, 476, 1220, 271, 269, 968, 1607, 568, 513, 1966, 602, 15359, 1206, 4872, 782, 936, 519, 1158, 543, 835, 602, 649, 1616, 547, 581, 5941, 865, 602, 649, 666, 3914, 513, 3070, 2223, 1767, 7720, 6511, 1068, 269, 4340, 547, 1133, 525, 1723, 779, 3355, 1867, 267, 519, 8978, 8998, 540, 25362, 2471, 19262, 513, 1747, 593, 519, 2622, 11595, 5903, 1317, 968, 289, 745, 2471, 568, 606, 14222, 1383, 540, 513, 10120, 8978, 11175, 267, 799, 814, 9738, 922, 8978, 5958, 607, 713, 814, 7960, 936, 519, 5553, 267, 543, 1141, 3312, 20096, 25481, 1106, 851, 540, 519, 4884, 781, 3961, 1848, 1809, 519, 2749, 729, 10404, 2213, 538, 513, 476, 1001, 271, 1867, 267, 1141, 8524, 832, 1767, 602, 968, 11004, 616, 6786, 17729, 799, 6542, 16795, 11761, 540, 519, 13737, 8471, 2418, 540, 2622, 11595, 538, 2463, 540, 519, 19866, 10418, 540, 25362, 2471, 9731, 6124, 1544, 4438, 519, 10554, 267, 519, 2749, 4843, 922, 1007, 2359, 1544, 31751, 538, 3210, 547, 1133, 525, 1723, 779, 2565, 1867, 269, 968, 763, 1544, 568, 5497, 607, 513, 3391, 607, 547, 875, 649, 20053, 547, 2149, 938, 6561, 538, 519, 4947, 1296, 267, 1247, 693, 519, 1482, 942, 3850, 721, 547, 11457, 607, 513, 2413, 2749, 2223, 6045, 620, 323, 9007, 8585, 1027, 525, 11709, 5292, 576, 332, 269, 968, 2171, 723, 3989, 10851, 1141, 2104, 1646, 666, 1491, 1747, 267, 1247, 2141, 12946, 538, 2247, 519, 3308, 1764, 593, 938, 6561, 1848, 634, 2622, 11595, 5903, 4867, 2882, 476, 280, 3607, 20375, 269, 0, 30238, 2725, 327, 5471, 15310, 8811, 25463, 1731, 12267, 454, 288, 5488, 1259, 547, 1413, 585, 5061, 602, 16956, 4733, 8229, 2281, 12207, 723, 1279, 8179, 519, 2702, 547, 16956, 4733, 8229, 2281, 267, 610, 11409, 267, 799, 1223, 2709, 513, 1007, 1259, 547, 1521, 11983, 2275, 867, 3441, 607, 1134, 607, 14715, 3676, 971, 607, 12216, 781, 610, 19576, 781, 269, 3509, 6464, 666, 16956, 4733, 11409, 6738, 538, 8891, 686, 8286, 538, 519, 2978, 267, 855, 621, 781, 2352, 543, 942, 21791, 547, 2697, 1346, 6464, 602, 960, 538, 2661, 2831, 267, 799, 568, 2565, 585, 3384, 5061, 585, 3425, 269, 19296, 693, 20037, 2483, 268, 6145, 513, 21431, 538, 1106, 610, 3350, 282, 2357, 332, 6134, 282, 12475, 6681, 610, 5609, 6681, 282, 849, 267, 21389, 603, 532, 610, 530, 3419, 326, 1782, 563, 268, 6145, 519, 3950, 610, 10250, 540, 513, 21431, 282, 17729, 607, 952, 21431, 3887, 22760, 282, 2357, 6193, 3634, 563, 268, 4460, 539, 609, 5386, 267, 2673, 1606, 564, 267, 530, 8283, 610, 12475, 6681, 3515, 540, 2681, 282, 2357, 6193, 4327, 563, 268, 589, 1106, 540, 15309, 5344, 544, 21863, 799, 568, 865, 530, 3754, 607, 547, 2408, 5394, 569, 967, 5034, 609, 21431, 2389, 13715, 269, 0, 300, 3464, 269, 13928, 797, 729, 15284, 779, 1101, 15554, 7716, 267, 2813, 950, 646, 729, 28465, 1032, 2025, 543, 7674, 607, 513, 17002, 779, 22961, 823, 547, 1010, 7015, 6276, 269, 8125, 775, 13928, 797, 729, 513, 1647, 27070, 30612, 945, 6743, 693, 519, 1158, 609, 513, 14973, 543, 30237, 545, 3750, 269, 4173, 4484, 18808, 609, 513, 2039, 540, 3584, 689, 2648, 543, 10470, 1222, 547, 519, 1533, 540, 2069, 538, 12590, 269, 769, 782, 267, 19939, 8125, 775, 13928, 797, 5022, 941, 3370, 538, 6276, 15284, 779, 1715, 4789, 3938, 656, 563, 1607, 1826, 540, 29905, 729, 1031, 855, 621, 568, 1572, 519, 28199, 595, 8327, 711, 519, 12228, 754, 21807, 595, 8327, 269, 901, 29905, 729, 2919, 676, 31409, 28199, 630, 325, 13904, 21829, 3004, 3218, 1070, 543, 1031, 538, 1010, 19359, 609, 3627, 27055, 563, 8133, 269, 2817, 21517, 616, 1483, 543, 723, 513, 5763, 540, 1344, 563, 8133, 269, 634, 1394, 540, 513, 1269, 1911, 269, 876, 3915, 2982, 519, 942, 476, 273, 281, 2420, 593, 519, 14412, 9219, 13486, 563, 8133, 519, 7455, 513, 2312, 1216, 11480, 666, 581, 1031, 607, 513, 2241, 3172, 8595, 563, 23871, 6541, 5939, 729, 8385, 1628, 538, 519, 476, 8182, 271, 779, 267, 855, 729, 14616, 1524, 543, 32206, 1079, 2053, 269, 634, 3803, 31811, 540, 519, 5939, 5116, 621, 538, 922, 4087, 538, 519, 7260, 855, 711, 950, 519, 968, 14090, 892, 1131, 723, 1044, 6537, 563, 15542, 11470, 1299, 454, 5719, 743, 9653, 540, 14412, 454, 5719, 743, 9653, 540, 14412, 568, 513, 1483, 3561, 269, 901, 3561, 568, 593, 4159, 543, 538, 519, 2013, 3254, 538, 519, 9413, 563, 2467, 568, 1100, 14951, 4786, 593, 519, 1394, 540, 519, 16672, 540, 7115, 269, 634, 1152, 1603, 593, 519, 1394, 568, 968, 24314, 16672, 540, 14412, 267, 18584, 476, 275, 628, 5147, 476, 10082, 277, 9731, 8133, 267, 538, 476, 10082, 277, 972, 729, 1100, 4303, 2775, 14205, 902, 543, 621, 729, 1101, 6700, 676, 18148, 15284, 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 ]
[ 543, 17981, 563, 2108, 5475, 9427, 519, 11308, 7406, 267, 649, 556, 268, 1551, 6548, 6241, 24437, 538, 519, 14328, 3774, 1210, 519, 1034, 1455, 4457, 674, 597, 607, 11237, 12258, 4379, 3889, 269, 634, 6989, 6676, 568, 6462, 676, 513, 2757, 6241, 543, 17063, 4070, 593, 519, 1101, 6989, 269, 28024, 340, 31532, 568, 1031, 593, 519, 2034, 6989, 269, 634, 3574, 2497, 8122, 267, 2705, 267, 568, 9112, 609, 513, 13862, 6879, 1901, 18085, 850, 591, 547, 2149, 543, 3382, 519, 2025, 3774, 269, 968, 454, 14071, 8359, 547, 946, 2199, 2326, 267, 543, 649, 5059, 593, 9657, 543, 4393, 269, 667, 9092, 2326, 666, 581, 32419, 267, 689, 519, 2241, 11308, 6989, 593, 476, 273, 526, 6989, 547, 519, 8122, 540, 519, 2679, 267, 782, 519, 1259, 1524, 547, 519, 3109, 17981, 269, 634, 25509, 11308, 1793, 11274, 543, 519, 15044, 3109, 17981, 666, 581, 1031, 267, 799, 17990, 2679, 2326, 1247, 5329, 519, 3140, 2796, 16856, 269, 968, 454, 763, 2679, 5654, 3592, 899, 513, 1906, 4773, 540, 4224, 23578, 856, 540, 519, 7823, 269, 898, 568, 9112, 607, 513, 3126, 6149, 6821, 602, 616, 1305, 883, 519, 9386, 269, 1703, 616, 1100, 9486, 6849, 7178, 269, 898, 568, 711, 6456, 689, 2070, 267, 543, 1281, 711, 1796, 856, 689, 519, 4282, 607, 606, 1383, 540, 968, 307, 15785, 534, 6189, 9731, 1607, 2679, 3096, 513, 2603, 540, 2699, 20398, 267, 799, 1331, 519, 1795, 1228, 543, 6821, 267, 607, 1134, 607, 19683, 269, 4107, 540, 519, 20398, 723, 1044, 12873, 547, 8190, 741, 3312, 5920, 269, 1703, 616, 1152, 513, 1906, 3606, 20398, 269, 1452, 20398, 616, 711, 1007, 267, 855, 789, 941, 13381, 689, 5656, 538, 29258, 269, 1358, 1287, 2951, 782, 519, 1259, 547, 19864, 269, 1358, 723, 519, 3169, 1482, 2298, 543, 7990, 607, 519, 3312, 20398, 267, 799, 666, 1406, 581, 1336, 538, 19864, 269, 769, 5329, 609, 519, 8076, 543, 19448, 26327, 2511, 7550, 676, 2311, 601, 1512, 589, 267, 519, 1665, 593, 519, 3606, 20398, 814, 1044, 22393, 2451, 20114, 563, 2108, 25332, 6326, 519, 2067, 9259, 540, 2842, 543, 3141, 5280, 7866, 519, 6456, 7326, 540, 519, 2326, 269, 634, 5251, 31879, 540, 2025, 1793, 622, 267, 519, 24338, 2699, 10036, 538, 519, 4357, 1330, 1399, 731, 267, 543, 519, 6149, 15839, 10549, 693, 2679, 3774, 3490, 5795, 4473, 547, 519, 11141, 1570, 4162, 269, 1452, 2609, 267, 2059, 609, 519, 15683, 540, 519, 11265, 9511, 267, 1711, 513, 2631, 540, 22471, 1006, 543, 16837, 563, 14071, 1294, 621, 607, 938, 4161, 547, 8190, 6469, 1702, 543, 2245, 609, 513, 1007, 1599, 602, 568, 3015, 585, 2104, 8436, 543, 27142, 269, 1284, 4362, 513, 1455, 18840, 6943, 2777, 998, 1082, 7391, 543, 29622, 1369, 519, 2199, 1858, 269, 898, 729, 606, 3618, 13946, 2777, 602, 5654, 899, 606, 2895, 269, 1452, 2663, 3029, 9192, 2699, 15839, 2609, 609, 3606, 30617, 269, 634, 1455, 1893, 540, 2699, 20398, 543, 30617, 568, 9738, 269, 1717, 267, 519, 1007, 3029, 723, 811, 8901, 7516, 563, 2108, 2026, 513, 17431, 1788, 547, 5710, 519, 536, 25193, 578, 8664, 538, 570, 1014, 336, 26820, 779, 7187, 3296, 267, 19864, 267, 519, 16646, 6578, 568, 1360, 1507, 267, 1818, 713, 17431, 1788, 811, 1483, 269, 898, 568, 711, 2966, 547, 946, 7199, 610, 1950, 2326, 267, 855, 1152, 2185, 540, 519, 1034, 1455, 2326, 267, 3574, 267, 12457, 20398, 267, 5374, 543, 4837, 269, 634, 12457, 20398, 666, 581, 9112, 1210, 2901, 2757, 610, 2413, 4070, 2553, 267, 4470, 593, 519, 4087, 269, 1358, 27721, 543, 14377, 519, 2025, 543, 519, 1007, 563, 7069, 1374, 6138, 568, 2067, 267, 15309, 545, 543, 13476, 7888, 269, 2991, 594, 2759, 19348, 883, 17446, 543, 9212, 267, 594, 27653, 621, 538, 18654, 1216, 269, 3973, 267, 519, 19348, 1058, 581, 12015, 6923, 538, 519, 12094, 547, 1205, 519, 1884, 1047, 10364, 267, 5521, 1790, 516, 1203, 633, 267, 543, 7646, 1168, 6169, 3601, 269, 634, 1114, 18282, 540, 19348, 616, 1018, 594, 946, 547, 2769, 2230, 269, 634, 19348, 17446, 616, 519, 9703, 267, 1247, 519, 19348, 32675, 267, 799, 957, 607, 2679, 7161, 267, 1118, 909, 519, 2230, 779, 16538, 269, 645, 16656, 22805, 568, 818, 3481, 547, 1711, 519, 2189, 2960, 585, 1142, 2230, 563, 2414, 1711, 27864, 21514, 951, 267, 19348, 26106, 802, 616, 1031, 2059, 519, 2357, 7701, 269, 1358, 849, 1683, 13471, 602, 568, 1134, 268, 1203, 23624, 269, 769, 1606, 15856, 6405, 568, 1031, 547, 4020, 519, 2497, 269, 4591, 869, 6405, 7161, 616, 1031, 585, 519, 16538, 6821, 1062, 269, 24533, 22739, 568, 1031, 607, 519, 32072, 1570, 269, 645, 16656, 543, 3574, 616, 1031, 585, 3141, 27864, 267, 9885, 543, 9486, 269, 2353, 2326, 616, 2189, 543, 666, 581, 1031, 1510, 1022, 2627, 18138, 563, 11742, 786, 2144, 1712, 519, 5354, 540, 2326, 538, 5842, 321, 7776, 3203, 7467, 779, 10070, 267, 1519, 15155, 4364, 3618, 543, 24489, 13058, 8440, 269, 901, 1184, 540, 11761, 568, 2147, 547, 519, 18829, 540, 9174, 269, 1284, 849, 1336, 602, 5842, 321, 7776, 8498, 7472, 2189, 3037, 269, 4475, 267, 649, 3710, 519, 6024, 3138, 600, 6821, 1210, 2199, 10036, 269, 898, 2488, 23440, 543, 8082, 269, 968, 454, 2108, 26222, 2326, 666, 581, 556, 268, 4310, 269, 634, 3618, 666, 581, 556, 268, 1090, 4364, 883, 6821, 543, 4457, 16654, 17981, 13381, 883, 623, 29713, 269, 634, 1795, 1228, 7959, 2413, 543, 12001, 7064, 547, 519, 12001, 1350, 5074, 543, 4496, 8470, 269, 634, 751, 1695, 1787, 779, 6151, 6405, 25040, 922, 2631, 540, 4320, 269, 634, 751, 1695, 1787, 779, 4174, 6244, 6405, 9403, 3947, 621, 513, 3152, 4336, 269, 23721, 11175, 568, 22541, 676, 519, 946, 540, 1312, 15768, 543, 4334, 633, 2326, 269, 634, 8082, 1063, 2413, 543, 2757, 2326, 568, 10630, 538, 519, 15244, 540, 942, 563, 305, 1116, 4070, 568, 3908, 676, 28842, 1304, 3560, 543, 3668, 540, 2200, 269, 1924, 267, 2679, 2326, 616, 3810, 22297, 267, 1210, 3039, 17981, 16626, 538, 519, 8498, 267, 519, 3312, 2679, 779, 2326, 616, 13381, 282, 1519, 267, 15155, 4364, 3618, 3774, 2326, 267, 2199, 544, 21863, 7161, 267, 19348, 267, 2025, 6149, 1793, 11274, 267, 13381, 2025, 6299, 7632, 267, 543, 31619, 3960, 334, 267, 799, 616, 10375, 585, 2199, 1570, 23023, 267, 9657, 267, 543, 616, 2825, 7888, 3034, 289, 9581, 20441, 519, 9754, 779, 2326, 269, 1234, 7094, 539, 2025, 29137, 20398, 6404, 609, 1007, 20398, 568, 2944, 547, 2992, 2199, 4070, 2528, 269, 634, 954, 933, 3058, 1079, 3140, 5712, 998, 519, 946, 540, 2025, 543, 1007, 20398, 1590, 12954, 7279, 267, 1719, 267, 543, 1711, 1007, 2055, 269, 4658, 945, 2170, 609, 873, 786, 23366, 11291, 741, 2250, 543, 723, 513, 2189, 1995, 269, 898, 568, 7543, 547, 32135, 519, 2250, 267, 855, 621, 666, 581, 17370, 9287, 998, 513, 1007, 4656, 543, 15657, 267, 513, 2186, 540, 4207, 18840, 1108, 269, 0, 6826, 2246, 3814, 15149, 689, 519, 10783, 9796, 928, 15021, 543, 11635, 9783, 538, 476, 6245, 273, 269, 901, 8978, 3561, 729, 9102, 676, 1977, 7813, 16694, 7577, 543, 814, 606, 15022, 622, 8473, 1472, 621, 609, 513, 642, 793, 8291, 540, 513, 1895, 540, 5755, 9553, 4600, 269, 901, 6221, 814, 519, 22782, 540, 519, 7577, 781, 5518, 267, 654, 269, 623, 269, 19676, 543, 14199, 543, 568, 936, 476, 14056, 1296, 2025, 563, 763, 10783, 9796, 928, 15021, 543, 11635, 7577, 729, 6896, 538, 5437, 476, 6642, 279, 269, 634, 3854, 540, 519, 2754, 729, 3964, 693, 1269, 276, 267, 1822, 267, 1822, 267, 609, 476, 2004, 267, 1822, 8843, 540, 3854, 6006, 2348, 513, 1612, 1871, 540, 1269, 1911, 1142, 269, 4107, 540, 519, 1269, 275, 267, 1822, 267, 1822, 4502, 540, 6006, 6035, 547, 519, 1857, 729, 4421, 538, 1715, 4789, 676, 654, 269, 623, 269, 19676, 543, 1010, 2828, 1369, 2947, 4374, 1310, 1373, 5116, 593, 9042, 269, 0, 7617, 6240, 540, 6142, 543, 31837, 1734, 634, 6142, 9156, 519, 8167, 622, 9295, 689, 519, 824, 6142, 888, 6944, 9084, 568, 519, 1318, 540, 606, 1202, 25033, 547, 9156, 606, 12581, 8167, 540, 513, 6976, 3409, 593, 15773, 540, 1776, 1202, 25033, 945, 568, 849, 25964, 585, 519, 3409, 563, 15152, 799, 6240, 666, 519, 1202, 25033, 8263, 519, 2924, 540, 519, 1202, 3293, 538, 1931, 547, 9156, 689, 513, 3791, 5428, 519, 2530, 6976, 896, 513, 3609, 888, 15152, 519, 6240, 540, 1016, 5766, 566, 519, 1202, 25033, 666, 8263, 519, 2924, 540, 519, 1202, 3293, 538, 1931, 547, 9156, 689, 513, 3791, 5428, 519, 2530, 6976, 896, 513, 3609, 563, 1432, 568, 519, 6240, 540, 9295, 538, 6142, 888, 6944, 9084, 2443, 519, 6240, 8066, 602, 1079, 610, 811, 1202, 20445, 1142, 25964, 585, 513, 4988, 2530, 1058, 7119, 538, 519, 8569, 540, 602, 2530, 563, 1432, 568, 519, 6240, 540, 1016, 5766, 566, 538, 6142, 888, 6097, 547, 4563, 779, 4521, 8675, 267, 1016, 5766, 566, 568, 968, 1492, 6240, 896, 799, 606, 1202, 25033, 602, 814, 6976, 513, 2530, 896, 606, 6142, 3609, 568, 13886, 547, 782, 519, 2924, 543, 14319, 10362, 547, 519, 1202, 3293, 1996, 513, 3791, 5428, 609, 2463, 547, 1022, 2530, 4988, 676, 519, 3609, 9731, 1432, 568, 513, 6051, 538, 6142, 888, 11900, 4269, 5589, 1478, 625, 1797, 1022, 23131, 689, 6142, 4507, 610, 824, 2959, 8720, 1022, 2530, 610, 1198, 547, 519, 6708, 1031, 547, 11574, 9271, 610, 5372, 8697, 610, 10032, 7221, 610, 3601, 563, 1432, 568, 9295, 6240, 888, 763, 6240, 540, 9295, 2829, 602, 519, 4502, 540, 606, 6454, 568, 1018, 621, 8591, 630, 528, 8309, 264, 547, 519, 2344, 1871, 540, 519, 3003, 3959, 267, 711, 1018, 621, 1942, 547, 1039, 519, 6454, 269, 901, 568, 513, 1883, 3815, 950, 14045, 547, 1039, 547, 4540, 9283, 563, 1432, 616, 519, 476, 276, 3741, 540, 7286, 6142, 888, 763, 4909, 3741, 540, 13149, 15928, 616, 6537, 689, 519, 13149, 15928, 2920, 267, 476, 3422, 274, 265, 1306, 538, 782, 11731, 540, 6142, 593, 3959, 267, 519, 4579, 540, 13149, 15928, 568, 1759, 593, 519, 4909, 3741, 540, 1473, 655, 333, 640, 267, 6184, 9092, 9314, 267, 7780, 2865, 6153, 18321, 267, 1160, 343, 1493, 20531, 267, 4427, 5766, 566, 543, 2552, 9084, 563, 1432, 568, 6240, 540, 9295, 609, 1383, 888, 32459, 2118, 540, 2552, 9084, 454, 2005, 2829, 519, 1482, 3364, 607, 538, 519, 6240, 540, 967, 655, 333, 640, 267, 1775, 4318, 269, 519, 1202, 3293, 3112, 1118, 513, 7443, 676, 19101, 519, 2530, 540, 835, 1641, 2339, 689, 1114, 4507, 610, 3549, 269, 7151, 1107, 589, 3959, 4502, 12652, 269, 476, 276, 700, 12112, 338, 568, 1202, 3293, 609, 7577, 589, 585, 12652, 563, 3674, 6240, 540, 9295, 1318, 540, 1202, 25033, 610, 1202, 3293, 888, 12024, 1016, 5766, 566, 267, 4061, 267, 814, 2097, 909, 519, 6240, 540, 9295, 609, 519, 6852, 8247, 547, 8190, 519, 6240, 540, 967, 655, 333, 640, 269, 634, 9295, 568, 513, 1318, 602, 606, 1202, 25033, 814, 267, 945, 814, 6976, 896, 513, 3609, 267, 540, 10912, 824, 5461, 1202, 20445, 538, 519, 2530, 547, 2628, 610, 3565, 2557, 268, 762, 547, 519, 8569, 563, 1432, 616, 519, 476, 278, 3741, 540, 6142, 888, 2467, 616, 5722, 2596, 3741, 10858, 547, 6142, 11731, 4143, 547, 2123, 5945, 543, 1286, 8009, 2665, 912, 268, 7780, 2865, 6153, 18321, 563, 268, 6184, 9092, 9314, 563, 268, 1160, 343, 1493, 20531, 563, 268, 13809, 3687, 574, 1436, 269, 0, 763, 8921, 8262, 774, 532, 538, 22783, 454, 257, 3674, 621, 2009, 547, 17278, 1210, 12380, 286, 2668, 898, 781, 782, 1759, 593, 519, 1367, 596, 2307, 621, 547, 543, 538, 1018, 2796, 269, 1306, 606, 1383, 267, 519, 1034, 7986, 1383, 267, 2705, 606, 4443, 835, 267, 666, 581, 4330, 607, 606, 9399, 299, 20081, 17162, 13995, 269, 898, 568, 513, 5150, 5691, 3758, 267, 849, 1634, 607, 606, 2473, 269, 4377, 528, 2232, 267, 799, 596, 1223, 2308, 547, 1711, 513, 2922, 543, 24290, 4276, 1210, 634, 9399, 299, 20081, 17162, 24344, 8416, 7014, 269, 634, 2601, 1946, 713, 568, 811, 5150, 936, 824, 2409, 568, 1317, 540, 519, 1249, 602, 972, 5749, 1405, 1022, 1852, 13763, 3238, 2429, 519, 1184, 563, 4131, 781, 1294, 1018, 4523, 538, 519, 2680, 602, 596, 2119, 547, 17278, 513, 3561, 538, 12380, 676, 1210, 3339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10350, 538, 1715, 10215, 281, 14362, 543, 4808, 269, 8158, 689, 4179, 2517, 325, 2742, 10993, 339, 8542, 345, 270, 817, 1115, 270, 11847, 2176, 270, 5197, 25248, 4211, 2734, 622, 8566, 4261, 766, 6953, 663, 1504, 268, 1001, 279, 15005, 563, 268, 1280, 15816, 267, 590, 269, 700, 1421, 1299, 1546, 8125, 9366, 267, 570, 11607, 288, 269, 630, 1001, 276, 1040, 634, 2257, 540, 6940, 281, 700, 830, 9412, 25299, 540, 1715, 10215, 269, 769, 589, 269, 16500, 31582, 630, 10955, 13776, 14958, 532, 4264, 9174, 4213, 281, 16610, 543, 2665, 630, 653, 269, 476, 4792, 1700, 8064, 1040, 1715, 3840, 281, 6022, 6588, 557, 5839, 17524, 534, 32155, 10104, 454, 268, 17054, 2006, 267, 631, 269, 630, 3192, 271, 267, 5181, 476, 1724, 1040, 634, 1514, 5539, 540, 1870, 568, 547, 2333, 922, 12434, 269, 1715, 3840, 8648, 18225, 32155, 10104, 454, 268, 6153, 1633, 267, 681, 269, 630, 1960, 276, 1040, 634, 1523, 540, 2825, 6940, 269, 16316, 5623, 540, 17905, 543, 3590, 18267, 267, 476, 2918, 263, 272, 1070, 476, 272, 1700, 2190, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14625, 277, 270, 2335, 675, 341, 269, 525, 269, 2918, 269, 8099, 4198, 269, 1822, 25090, 5861, 1484, 8269, 11386, 10104, 454, 268, 8316, 7719, 267, 808, 269, 630, 1220, 272, 1040, 634, 8772, 30361, 540, 6940, 281, 9177, 779, 1898, 1909, 538, 1857, 4058, 269, 1325, 2023, 320, 267, 15117, 281, 5871, 16140, 14539, 32155, 10104, 454, 268, 28822, 2129, 337, 267, 645, 1421, 18307, 1276, 9476, 267, 681, 1421, 1299, 634, 12320, 11420, 267, 700, 269, 630, 1001, 274, 267, 4873, 476, 1321, 1700, 1428, 1040, 20885, 281, 23840, 3292, 543, 2792, 538, 519, 3056, 9174, 6721, 2477, 269, 7433, 4843, 693, 519, 476, 278, 628, 4139, 10985, 540, 519, 9142, 540, 29879, 6355, 3194, 630, 288, 310, 16576, 1070, 853, 269, 6869, 541, 1149, 267, 10396, 267, 4516, 32155, 10104, 454, 268, 918, 15014, 294, 269, 630, 1001, 278, 1040, 634, 918, 15014, 294, 5619, 540, 9746, 5539, 8989, 476, 1001, 278, 269, 8158, 689, 4179, 2517, 817, 1115, 21993, 10975, 326, 270, 20880, 7933, 600, 31574, 10975, 326, 270, 2041, 9706, 4206, 270, 1001, 278, 31574, 10975, 326, 1606, 584, 3272, 6361, 2275, 2734, 622, 268, 22529, 2225, 3146, 1636, 532, 268, 1001, 278, 15005, 563, 268, 10753, 767, 612, 267, 918, 1421, 16334, 11839, 267, 590, 1421, 700, 4169, 327, 514, 267, 700, 269, 1299, 595, 832, 328, 267, 589, 269, 630, 1001, 271, 267, 5437, 476, 3066, 1700, 20103, 476, 272, 1040, 634, 3448, 2956, 540, 6940, 267, 2298, 1852, 4441, 543, 10250, 1464, 585, 9174, 6800, 281, 589, 3444, 5991, 1049, 26409, 269, 769, 18619, 540, 519, 476, 1724, 628, 8241, 543, 1715, 10215, 16373, 9142, 10985, 630, 653, 269, 476, 272, 1700, 279, 1040, 2441, 577, 3420, 267, 1715, 10215, 32155, 10104, 454, 268, 5062, 2704, 3563, 267, 667, 269, 570, 1421, 12113, 22641, 267, 744, 269, 595, 1421, 1299, 12113, 22641, 267, 700, 269, 630, 1220, 274, 1040, 6355, 543, 2486, 281, 589, 7580, 1935, 547, 9746, 15114, 269, 11785, 267, 10790, 281, 670, 32080, 631, 858, 4802, 32155, 10104, 454, 268, 715, 559, 760, 712, 267, 589, 269, 630, 1001, 277, 1040, 20885, 8989, 22059, 281, 4112, 528, 2218, 2963, 538, 1715, 10215, 269, 16362, 531, 5098, 267, 12493, 2160, 269, 8158, 689, 4179, 2517, 1440, 24982, 1673, 1311, 268, 777, 659, 269, 10676, 539, 20216, 331, 2320, 529, 16766, 2593, 270, 21529, 11721, 270, 1691, 328, 276, 336, 16211, 20081, 301, 5332, 15238, 345, 5334, 4343, 278, 27768, 2190, 563, 268, 744, 10458, 267, 594, 1421, 1299, 1975, 836, 28086, 267, 808, 269, 670, 269, 630, 1220, 273, 267, 4728, 476, 277, 1700, 280, 1040, 30487, 1514, 6940, 281, 634, 1514, 10155, 540, 6940, 538, 513, 8739, 20300, 9183, 269, 7433, 4843, 693, 519, 476, 278, 628, 645, 1329, 333, 658, 10985, 540, 519, 4139, 5980, 585, 26954, 13188, 267, 590, 28907, 267, 31512, 807, 32155, 10104, 454, 268, 9796, 2023, 267, 681, 269, 700, 269, 630, 2735, 279, 1040, 5845, 20395, 344, 281, 21816, 776, 2962, 585, 519, 1857, 1434, 269, 1715, 3840, 281, 5839, 17524, 534, 32155, 10104, 454, 268, 16399, 267, 667, 269, 1299, 1280, 15816, 267, 590, 269, 700, 269, 630, 1001, 272, 267, 4873, 476, 280, 1700, 1015, 1040, 24613, 2048, 13582, 685, 547, 1265, 2048, 326, 1245, 685, 538, 9174, 281, 589, 2013, 1353, 540, 513, 4264, 1715, 10215, 9174, 16073, 269, 769, 18619, 540, 519, 476, 277, 628, 4139, 10985, 540, 519, 9142, 540, 29879, 6355, 3194, 630, 288, 310, 16576, 264, 630, 653, 269, 476, 280, 1700, 1015, 1040, 645, 867, 324, 14513, 32155, 10104, 454, 268, 654, 691, 1157, 267, 590, 269, 700, 1421, 1299, 8381, 267, 667, 269, 808, 269, 630, 1960, 279, 1040, 4139, 1870, 543, 2486, 269, 5689, 6577, 267, 10790, 281, 4563, 6202, 32155, 10104, 454, 268, 5375, 8241, 7027, 540, 4317, 6796, 630, 310, 3722, 5308, 306, 1040, 630, 333, 6155, 1040, 1548, 568, 1514, 6940, 286, 8158, 689, 4179, 2517, 4178, 269, 525, 326, 269, 1228, 322, 2987, 2617, 725, 2593, 270, 12671, 268, 639, 11721, 26698, 338, 270, 6343, 28104, 1606, 3469, 1606, 7739, 1464, 270, 563, 268, 6519, 267, 717, 269, 645, 269, 630, 1001, 276, 1040, 20885, 8989, 281, 15775, 3323, 269, 6355, 16869, 4964, 269, 8158, 689, 4179, 2517, 324, 1504, 25218, 269, 2889, 26810, 2593, 563, 268, 2622, 8189, 593, 5113, 1299, 4886, 269, 630, 2735, 278, 1040, 3776, 1455, 2104, 269, 10228, 281, 10228, 2160, 4964, 32155, 10104, 454, 268, 2098, 340, 17433, 267, 717, 1421, 8055, 267, 667, 269, 661, 1421, 1299, 14600, 787, 267, 667, 269, 630, 1220, 280, 1040, 12655, 3857, 22450, 543, 3094, 2044, 2853, 538, 4993, 281, 1548, 568, 621, 267, 543, 798, 5561, 1416, 286, 4139, 4750, 540, 29879, 3194, 267, 476, 273, 267, 476, 6245, 1700, 3707, 32155, 10104, 0, 3918, 4041, 3008, 3633, 281, 476, 876, 281, 876, 476, 6860, 5412, 476, 1001, 280, 454, 1103, 519, 2063, 4672, 2085, 938, 5251, 1131, 723, 24428, 891, 1390, 7068, 269, 6754, 20122, 5459, 11339, 454, 7021, 519, 2250, 1079, 5756, 267, 594, 723, 2919, 513, 1390, 2648, 585, 519, 8916, 540, 519, 7187, 32090, 2477, 269, 769, 1034, 1296, 594, 2951, 547, 18940, 610, 16157, 267, 12212, 547, 13785, 547, 8523, 32608, 267, 4129, 267, 12217, 267, 15259, 2181, 344, 543, 556, 785, 17621, 269, 4438, 891, 12599, 267, 594, 1419, 1589, 827, 519, 16726, 540, 519, 5251, 609, 602, 540, 667, 8538, 903, 10921, 543, 827, 519, 3140, 4296, 1063, 519, 7320, 594, 13227, 1117, 543, 519, 4505, 7320, 540, 519, 8445, 563, 763, 4276, 1063, 2221, 781, 5251, 543, 519, 7320, 540, 18940, 543, 667, 8538, 903, 10921, 4667, 803, 4526, 693, 1101, 8289, 269, 6936, 267, 1454, 540, 519, 5318, 4104, 602, 4988, 667, 8538, 903, 10921, 729, 5059, 593, 513, 12779, 14692, 540, 1010, 5449, 1582, 267, 543, 1454, 540, 519, 1347, 29487, 25227, 19251, 2378, 320, 10044, 899, 12217, 543, 556, 785, 17621, 1100, 3476, 18389, 1229, 936, 519, 11506, 8916, 540, 519, 21895, 269, 1358, 2899, 1705, 563, 288, 3643, 547, 519, 11141, 23572, 540, 595, 637, 6202, 595, 4048, 338, 786, 3533, 1397, 602, 938, 11937, 5030, 543, 32170, 556, 785, 17621, 7258, 561, 2106, 343, 543, 15144, 569, 11002, 16394, 269, 2290, 1554, 540, 3014, 2914, 10248, 1590, 723, 1044, 606, 5863, 267, 952, 10169, 2295, 12577, 1995, 2336, 1103, 4279, 6628, 543, 667, 8538, 903, 10921, 267, 556, 785, 17621, 5030, 538, 1804, 2338, 693, 519, 942, 540, 519, 2063, 10979, 6520, 267, 689, 827, 476, 3374, 267, 1822, 547, 476, 2004, 267, 1822, 1296, 3516, 267, 950, 621, 729, 10924, 602, 789, 1608, 1386, 538, 519, 5614, 593, 519, 6676, 9476, 540, 519, 8445, 543, 28953, 547, 6931, 3712, 985, 10921, 538, 519, 5162, 563, 2467, 616, 23053, 602, 789, 949, 723, 1044, 17255, 538, 7187, 10430, 607, 513, 5065, 3703, 2249, 1152, 476, 8517, 1296, 3516, 563, 9213, 649, 723, 606, 18163, 2648, 26035, 609, 891, 6909, 2831, 267, 5631, 1317, 540, 519, 2984, 4478, 13244, 1849, 9476, 269, 898, 949, 9983, 1082, 1004, 547, 1451, 602, 519, 2984, 616, 2965, 3833, 2413, 269, 634, 1101, 6592, 1650, 827, 13244, 781, 11739, 662, 15504, 998, 519, 1000, 1074, 1782, 5182, 787, 6607, 540, 8285, 18832, 7389, 1394, 547, 476, 9264, 272, 269, 23052, 6504, 267, 519, 1034, 4583, 540, 1010, 3640, 2831, 267, 729, 11827, 676, 7917, 2904, 538, 476, 4350, 280, 607, 606, 10229, 3196, 585, 513, 5832, 4558, 269, 1717, 267, 519, 1483, 2067, 1686, 5013, 827, 556, 785, 17621, 616, 2484, 811, 4241, 563, 3725, 785, 17621, 616, 1360, 1134, 14018, 547, 2661, 538, 5162, 538, 6777, 344, 5054, 2630, 4642, 269, 1358, 723, 606, 5863, 10359, 609, 17401, 14095, 4552, 267, 930, 17860, 543, 16290, 269, 589, 556, 785, 17621, 15991, 19380, 3002, 950, 621, 23933, 593, 519, 6777, 547, 3207, 538, 563, 763, 556, 785, 17621, 5144, 602, 20555, 519, 1608, 1407, 568, 11212, 3638, 267, 865, 1152, 1507, 5666, 991, 547, 581, 3812, 269, 901, 1797, 602, 519, 579, 9536, 619, 666, 581, 4130, 267, 799, 17990, 3002, 563, 7021, 519, 1576, 540, 513, 1032, 267, 519, 2168, 3337, 540, 519, 3952, 2242, 865, 789, 666, 3802, 538, 519, 4832, 593, 519, 14927, 267, 21263, 344, 2627, 543, 538, 519, 2182, 267, 13792, 6777, 540, 5162, 269, 1234, 785, 17621, 616, 2189, 538, 519, 13650, 1920, 1317, 1312, 9038, 543, 8951, 9742, 1884, 6840, 1169, 1032, 563, 22818, 519, 1034, 27314, 1249, 568, 602, 1200, 3750, 2681, 2242, 689, 4544, 547, 4154, 1282, 519, 1032, 269, 769, 713, 1259, 789, 11126, 741, 32416, 547, 3605, 741, 11975, 267, 799, 616, 5631, 20384, 269, 21298, 267, 513, 1895, 540, 556, 785, 17621, 2713, 538, 6931, 3712, 985, 10921, 723, 1044, 12286, 593, 18917, 338, 634, 835, 1397, 267, 589, 2241, 4603, 4951, 602, 789, 666, 2965, 1294, 851, 540, 519, 22292, 8552, 602, 568, 15865, 547, 3425, 269, 901, 2973, 4640, 2636, 556, 785, 17621, 547, 5544, 3043, 20384, 538, 4395, 540, 513, 6777, 2275, 2642, 4282, 607, 519, 10359, 5526, 18632, 538, 519, 11158, 8552, 563, 3725, 785, 17621, 616, 4440, 519, 1034, 1271, 3662, 538, 519, 5354, 540, 519, 7187, 2477, 540, 519, 1158, 269, 769, 2342, 267, 556, 785, 17621, 616, 2965, 10130, 267, 1498, 693, 1101, 16145, 789, 3100, 547, 2661, 538, 513, 3552, 1533, 269, 2353, 540, 891, 556, 785, 17621, 616, 11262, 543, 9738, 676, 3425, 267, 945, 616, 6854, 1927, 12422, 543, 616, 1419, 3177, 609, 24045, 3049, 1282, 519, 5162, 563, 288, 1906, 1296, 3516, 267, 594, 6170, 513, 1554, 609, 513, 6341, 328, 556, 785, 17621, 31459, 2006, 538, 519, 2484, 5087, 540, 18940, 607, 646, 17031, 1010, 5162, 31459, 547, 3049, 873, 269, 898, 729, 513, 9735, 1995, 543, 607, 649, 2893, 1472, 513, 30437, 267, 8337, 3595, 267, 646, 14437, 827, 519, 2620, 268, 549, 6838, 2528, 540, 1010, 1004, 543, 741, 13829, 593, 891, 9735, 2831, 543, 741, 2620, 4276, 609, 873, 563, 1103, 3345, 3013, 267, 519, 1286, 756, 537, 568, 2965, 519, 1482, 2249, 607, 938, 3864, 556, 785, 17621, 267, 1498, 621, 781, 2731, 3552, 2831, 602, 887, 600, 519, 4541, 593, 519, 13074, 9194, 540, 513, 1804, 25850, 563, 4263, 519, 4090, 596, 666, 711, 1294, 513, 3552, 556, 785, 17621, 538, 519, 5177, 269, 1703, 568, 513, 7307, 23636, 602, 2729, 593, 519, 17525, 540, 519, 595, 1515, 978, 768, 338, 267, 543, 513, 1554, 1934, 267, 2523, 538, 5162, 267, 666, 1205, 7168, 2673, 547, 513, 25227, 1995, 269, 1234, 785, 17621, 887, 3139, 519, 1726, 564, 3591, 543, 18137, 540, 667, 8538, 903, 10921, 5215, 540, 1296, 3516, 267, 543, 621, 949, 3100, 13267, 547, 3142, 873, 1394, 267, 4440, 607, 513, 15805, 3209, 1399, 269, 1717, 267, 713, 568, 606, 3662, 9862, 547, 519, 4411, 2916, 538, 519, 5087, 540, 721, 267, 543, 513, 32543, 3174, 547, 938, 5413, 1131, 711, 581, 547, 519, 4324, 540, 519, 556, 785, 17621, 269, 1717, 267, 19426, 616, 10464, 543, 513, 9702, 547, 18940, 610, 13785, 538, 519, 5162, 547, 1995, 513, 1554, 609, 513, 556, 785, 17621, 1200, 1457, 568, 6157, 513, 10853, 10278, 563, 4517, 952, 596, 798 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 1118, 606, 9642, 1297, 610, 513, 2789, 540, 476, 274, 780, 288, 3122, 1355, 2349, 770, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 288, 3014, 585, 476, 273, 1004, 269, 2422, 707, 1983, 540, 1840, 267, 12408, 267, 8691, 543, 6498, 547, 19046, 519, 30563, 780, 294, 582, 621, 9137, 692, 25111, 281, 476, 273, 543, 476, 274, 692, 1607, 2376, 3947, 596, 513, 1906, 2093, 585, 1620, 519, 20944, 898, 256, 3014, 543, 875, 596, 1522, 1265, 513, 10888, 4640, 780, 290, 2945, 322, 5737, 10606, 692, 25111, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 2304, 7634, 5473, 4946, 543, 18946, 5036, 540, 15654, 2338, 269, 31849, 547, 1265, 856, 267, 6266, 547, 2263, 780, 307, 582, 1275, 692, 25111, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 1607, 568, 606, 4946, 3014, 585, 1079, 5716, 780, 303, 31980, 5403, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 2080, 616, 519, 5777, 585, 476, 272, 560, 543, 476, 273, 526, 1362, 13875, 1369, 519, 5177, 269, 1411, 723, 606, 19957, 1297, 540, 1142, 540, 891, 22827, 269, 6904, 22827, 1131, 596, 991, 547, 2022, 513, 1612, 4897, 20604, 476, 279, 1839, 326, 2496, 1692, 13518, 9894, 621, 8779, 2496, 25111, 281, 476, 273, 7420, 5426, 1384, 8196, 707, 9266, 6253, 9722, 1983, 547, 17429, 576, 875, 1454, 8355, 781, 5743, 1186, 543, 4672, 29931, 600, 1942, 15587, 780, 763, 10658, 3960, 1782, 21690, 19255, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 2467, 941, 1750, 9749, 585, 476, 273, 335, 267, 9910, 5798, 585, 476, 274, 335, 267, 932, 1442, 334, 13063, 585, 476, 276, 335, 543, 561, 14709, 335, 3591, 585, 476, 278, 335, 538, 519, 6653, 6300, 269, 1548, 1223, 1142, 540, 519, 1453, 4444, 609, 741, 2724, 2496, 293, 1515, 16510, 692, 25111, 281, 476, 272, 7420, 5426, 1384, 1103, 707, 4871, 267, 596, 723, 1614, 2010, 540, 11113, 269, 634, 1297, 540, 9634, 2982, 875, 1454, 789, 616, 4502, 269, 2052, 596, 3442, 11113, 547, 5385, 609, 519, 2516, 2016, 547, 1118, 519, 1482, 2698, 2496, 26574, 539, 10606, 692, 25111, 281, 476, 272, 7420, 5426, 1384, 8196, 519, 1297, 12035, 547, 1265, 1114, 2081, 540, 13326, 519, 3160, 16014, 780, 13731, 5733, 19255, 4771, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 309, 5028, 568, 10918, 693, 513, 2344, 609, 891, 11113, 538, 1200, 1625, 572, 269, 6904, 1919, 1223, 1352, 2285, 4010, 519, 1318, 2179, 585, 2496, 27288, 10793, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 288, 3014, 585, 476, 273, 610, 811, 5716, 609, 513, 3640, 540, 6486, 269, 4698, 1047, 707, 1983, 540, 1840, 267, 12408, 267, 8691, 543, 6498, 547, 5734, 519, 3077, 6060, 780, 24979, 1170, 9061, 13658, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 288, 3014, 585, 476, 273, 5716, 269, 4698, 2478, 12408, 610, 824, 13004, 4238, 1702, 780, 25111, 281, 476, 272, 7420, 5426, 1384, 288, 3014, 585, 476, 273, 610, 811, 5716, 269, 4698, 1047, 707, 1840, 543, 12408, 609, 519, 5351, 540, 513, 3014, 4604, 543, 930, 12015, 17112, 2439, 5415, 2961, 2651, 30894, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 1692, 723, 519, 2338, 1044, 5116, 538, 713, 2961, 2651, 6516, 286, 6904, 10297, 1131, 596, 2322, 593, 1142, 4737, 543, 6241, 2496, 10831, 18696, 692, 25111, 281, 476, 272, 7420, 5426, 1384, 4692, 596, 13793, 12035, 538, 519, 1318, 1747, 547, 1118, 519, 3160, 16014, 3666, 2496, 291, 558, 3626, 10606, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 1294, 1946, 476, 273, 676, 476, 273, 1223, 581, 476, 276, 286, 2052, 596, 3589, 1018, 476, 273, 676, 476, 1015, 786, 581, 2496, 305, 532, 513, 23580, 540, 10606, 692, 25111, 281, 476, 272, 7420, 5426, 1384, 16521, 2185, 540, 519, 2338, 689, 476, 272, 547, 476, 280, 547, 2322, 538, 519, 10945, 865, 602, 519, 3604, 1063, 8678, 10945, 616, 9642, 780, 3080, 28985, 547, 18599, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 9359, 676, 8380, 835, 2929, 630, 272, 476, 1822, 476, 1822, 264, 883, 519, 4159, 540, 707, 9498, 269, 2052, 596, 2569, 713, 547, 476, 278, 1210, 1175, 519, 476, 278, 1883, 543, 1039, 267, 10208, 267, 9062, 267, 7941, 543, 11224, 607, 1082, 2053, 607, 596, 899, 2496, 763, 14559, 631, 10270, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 7883, 998, 519, 28618, 267, 10655, 543, 9561, 707, 2724, 607, 596, 979, 269, 6904, 8905, 3947, 596, 519, 5207, 2132, 286, 1656, 519, 9803, 2496, 10831, 20212, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 20278, 519, 2338, 689, 476, 272, 547, 476, 280, 538, 519, 10945, 2630, 865, 602, 519, 3017, 1063, 8678, 10945, 568, 9642, 269, 1215, 1082, 1114, 2081, 666, 596, 798, 713, 2496, 763, 9466, 7731, 692, 25111, 281, 476, 272, 7420, 5426, 1384, 8196, 519, 1344, 827, 22123, 543, 1200, 7015, 547, 1265, 856, 875, 1082, 1453, 972, 616, 538, 519, 9466, 1920, 780, 307, 1872, 10434, 518, 2439, 25111, 281, 476, 273, 7420, 5426, 1384, 1103, 713, 3014, 267, 596, 666, 1039, 267, 10208, 267, 9062, 610, 7941, 519, 2338, 593, 519, 18062, 269, 6904, 786, 596, 798, 865, 602, 596, 1205, 547, 519, 1439, 540, 519, 1297, 1899, 1101, 2496, 307, 1872, 540, 2782, 692, 25111, 281, 476, 272, 7420, 5426, 1384, 4692, 596, 946, 519, 2338, 593, 519, 18062, 547, 3914, 707, 1439, 540, 519, 1297, 1899, 1354, 707, 7649, 20054, 596, 2496, 25440, 547, 476, 4391, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 1103, 713, 3014, 585, 1079, 5716, 267, 519, 2856, 568, 547, 1491, 621, 538, 7140, 547, 3442, 476, 272, 267, 476, 274, 267, 476, 276, 610, 476, 278, 269, 634, 16771, 568, 519, 1101, 547, 1118, 519, 2698, 476, 4391, 269, 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 14065, 7277, 7913, 5072, 540, 3810, 12432, 2338, 630, 288, 16573, 9264, 1040, 476, 272, 454, 476, 272, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 274, 267, 476, 277, 267, 476, 274, 267, 476, 280, 267, 476, 277, 267, 476, 280, 267, 476, 280, 267, 476, 274, 267, 476, 280, 267, 476, 277, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 272, 267, 273, 25265, 19006, 513, 3799, 6661, 280, 585, 562, 3436, 476, 1704, 1317, 585, 1346, 562, 267, 519, 3810, 12432, 1297, 589, 16573, 9264, 3799, 264, 568, 16883, 676, 476, 280, 269, 910, 570, 269, 667, 269, 3143, 324, 267, 7325, 476, 2764, 476, 1220, 280, 700, 2562, 16775, 11123, 300, 308, 6369, 513, 3799, 264, 815, 589, 18089, 31229, 10490, 9610, 277, 3393, 3799, 26895, 910, 681, 269, 808, 269, 4569, 541, 267, 9947, 476, 1428, 476, 1220, 280, 12327, 21283, 4041, 476, 4037, 277, 271, 568, 513, 3810, 12432, 1297, 4171, 3059, 3597, 568, 476, 280, 269, 30684, 4041, 1224, 2891, 10520, 13257, 274, 257, 2567, 700, 28701, 645, 293, 11223, 307, 5357, 8780, 2891, 321, 16573, 9264, 17902, 8442, 2433, 589, 23669, 4817, 274, 28701, 22876, 3799, 264, 1039, 5560, 267, 546, 284, 935, 3200, 3799, 267, 3490, 267, 476, 1015, 4297, 6902, 1439, 281, 589, 18089, 31229, 28701, 22876, 3799, 264, 2199, 513, 6902, 513, 28701, 589, 23669, 4817, 274, 3799, 264, 6902, 1247, 513, 3436, 476, 280, 798, 513, 28701, 589, 23669, 4817, 274, 5416, 264, 6902, 5212, 282, 513, 282, 1439, 281, 585, 1775, 689, 476, 272, 547, 476, 1220, 798, 1820, 325, 2891, 260, 323, 267, 14307, 589, 18089, 31229, 263, 641, 9217, 267, 700, 30727, 6902, 5212, 281, 1948, 681, 269, 808, 269, 4569, 541, 267, 9947, 476, 1428, 476, 1220, 280, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 16573, 9264, 267, 589, 18089, 31229, 267, 589, 9610, 277, 3393, 269, 25627, 538, 2796, 281, 589, 271, 4037, 271, 4037, 589, 5400, 279, 9965, 589, 28796, 279, 2412, 2608, 589, 9610, 277, 3393, 589, 27628, 278, 2190, 589, 14056, 276, 3953, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 14065, 8687, 589, 14065, 9264, 589, 14065, 8146, 2608, 589, 14065, 6977, 589, 14065, 5908, 589, 14065, 6942, 26395, 312, 310, 16704, 1875, 333, 267, 324, 6470, 14720, 848, 27483, 295, 3036, 3474, 628, 553, 541, 4331, 715, 3711, 328, 267, 9947, 476, 4962, 476, 1220, 280, 12327, 307, 2894, 31064, 306, 27326, 676, 681, 269, 808, 269, 4569, 541, 267, 9947, 476, 1428, 476, 1220, 280, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5988, 476, 2918, 476, 1556, 281, 5392, 29643, 476, 1708, 271, 269, 1230, 13935, 476, 28590, 29344, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 258, 4578, 28604, 630, 25583, 268, 274, 2567, 5590, 268, 1556, 692, 14888, 3918, 290, 3582, 2433, 589, 7548, 8952, 1239, 593, 1053, 9184, 4327, 676, 2773, 543, 3023, 540, 519, 2875, 269, 634, 1239, 568, 6854, 593, 513, 2780, 12210, 267, 855, 19890, 930, 540, 621, 568, 4503, 1317, 540, 513, 3644, 269, 8307, 519, 1739, 1223, 581, 16626, 1384, 303, 23307, 16181, 941, 20399, 855, 547, 1100, 1992, 269, 1323, 4274, 12233, 729, 4646, 267, 799, 4956, 602, 519, 1739, 5013, 941, 1582, 10423, 912, 272, 269, 3080, 3791, 540, 519, 5256, 1053, 941, 3328, 563, 273, 13034, 2788, 519, 1053, 941, 2901, 5140, 610, 1434, 563, 274, 269, 2412, 260, 540, 519, 1053, 941, 8951, 780, 9223, 476, 272, 269, 1215, 1082, 1053, 616, 1312, 5256, 543, 1434, 888, 5416, 264, 476, 1015, 454, 6357, 264, 476, 1626, 454, 6262, 264, 476, 2420, 454, 5560, 264, 476, 4366, 692, 9223, 476, 273, 269, 1215, 1082, 1053, 941, 1312, 4775, 543, 5140, 888, 5416, 264, 476, 271, 454, 6357, 264, 476, 279, 454, 6262, 264, 476, 1626, 454, 5560, 264, 476, 3953, 692, 9223, 476, 274, 269, 1548, 8167, 540, 4775, 1053, 616, 1434, 888, 5416, 264, 476, 271, 454, 6357, 264, 476, 271, 269, 1839, 454, 6262, 264, 476, 271, 269, 276, 454, 5560, 264, 476, 272, 269, 271, 692, 9223, 476, 275, 269, 7324, 3328, 1053, 267, 1018, 568, 519, 5223, 540, 5256, 547, 4775, 888, 5416, 264, 476, 272, 2433, 476, 273, 454, 6357, 264, 476, 273, 2433, 476, 272, 454, 6262, 264, 476, 274, 2433, 476, 273, 454, 5560, 264, 476, 273, 2433, 476, 274, 692, 9223, 476, 276, 269, 1548, 8167, 540, 1434, 1053, 616, 5256, 888, 5416, 264, 476, 271, 454, 6357 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2611, 28138, 5905, 18429, 585, 7766, 5481, 269, 1280, 3236, 267, 631, 2727, 517, 1938, 8441, 513, 21712, 17748, 540, 13919, 12979, 1819, 538, 2601, 543, 10143, 13414, 267, 6466, 13391, 27256, 11363, 5289, 26126, 543, 14719, 894, 5751, 6322, 693, 14237, 6418, 16495, 269, 5637, 4485, 20838, 519, 2956, 540, 10128, 5042, 31399, 625, 609, 3929, 8741, 1431, 538, 13287, 540, 5683, 15657, 780, 307, 9506, 938, 22401, 2509, 29678, 267, 649, 7237, 1007, 20030, 540, 14374, 543, 16311, 566, 4478, 6014, 7881, 269, 2060, 519, 4417, 540, 21654, 2219, 543, 661, 2006, 322, 11692, 267, 2757, 544, 2803, 941, 5051, 29506, 1242, 543, 20402, 267, 3056, 547, 24526, 9840, 827, 519, 2078, 1063, 5132, 267, 2528, 267, 543, 13919, 269, 10738, 713, 27241, 540, 1689, 267, 7986, 9739, 899, 19555, 2335, 28137, 267, 9410, 11370, 828, 267, 30686, 25347, 345, 933, 580, 267, 543, 14062, 26056, 31928, 322, 3559, 7153, 267, 1142, 14027, 3209, 12496, 540, 6014, 7881, 1140, 25293, 547, 519, 13346, 521, 1343, 540, 29678, 269, 6787, 2502, 609, 23006, 1014, 632, 26585, 267, 16650, 626, 5039, 1108, 267, 610, 1184, 6138, 267, 891, 17024, 5750, 539, 4195, 11444, 585, 11028, 4290, 532, 2085, 6040, 10752, 609, 6932, 1514, 267, 2797, 267, 543, 7214, 14768, 780, 9213, 267, 6014, 7881, 3136, 547, 20920, 609, 10296, 2152, 602, 1219, 344, 2653, 6571, 269, 5999, 17640, 547, 2112, 543, 4708, 267, 1480, 2924, 267, 14920, 267, 6915, 996, 923, 267, 2825, 19642, 267, 543, 2804, 5126, 13822, 8806, 513, 6824, 540, 519, 1950, 14099, 21986, 539, 676, 4207, 5640, 269, 14301, 6667, 689, 1312, 2250, 18544, 543, 1459, 4145, 267, 789, 11441, 547, 30881, 11972, 5683, 4030, 1247, 6967, 26256, 714, 656, 540, 519, 2479, 21608, 8658, 1369, 799, 891, 3741, 1590, 7500, 780, 2026, 649, 9959, 938, 3408, 540, 6014, 7881, 267, 1577, 721, 2132, 2899, 811, 547, 519, 6679, 8574, 602, 6273, 713, 3460, 269, 1284, 7074, 875, 519, 12649, 4704, 960, 11394, 547, 1459, 513, 7059, 17855, 540, 6014, 5683, 2219, 267, 6220, 2789, 5380, 6537, 689, 9867, 5322, 543, 10923, 6753, 269, 6270, 13784, 9356, 513, 6626, 7678, 1369, 4207, 24243, 267, 1141, 15834, 19929, 543, 3444, 1790, 3326, 1588, 6556, 15417, 2666, 585, 5499, 1382, 989, 31789, 269, 898, 849, 14753, 547, 519, 7915, 12683, 1143, 11251, 1369, 6014, 2245, 3294, 267, 13296, 12721, 22649, 540, 22556, 30598, 9624, 5571, 7391, 602, 16637, 13796, 543, 8901, 6302, 780, 3528, 9284, 532, 6000, 538, 713, 7524, 7214, 6561, 267, 649, 1831, 1732, 9280, 547, 4497, 9691, 609, 21064, 2055, 7282, 519, 2470, 540, 13919, 267, 519, 2495, 540, 6228, 267, 543, 519, 32725, 540, 938, 3838, 8103, 269, 11086, 267, 519, 1353, 540, 6014, 7881, 20217, 721, 547, 7119, 8362, 538, 5935, 513, 811, 12581, 267, 17519, 267, 543, 1175, 1158, 1931, 1107, 835, 5483, 676, 5553, 540, 19017, 7326, 2943, 9862, 29858, 547, 2743, 519, 608, 580, 550, 2115, 540, 938, 1378, 3140, 4090, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 257, 12663, 4196, 607, 519, 3044, 835, 31891, 3102, 6014, 4704, 960, 30385, 316, 11394, 547, 1459, 513, 7059, 4605, 267, 5356, 1699, 3206, 1851, 5640, 538, 21637, 267, 20271, 894, 267, 543, 18179, 5322, 543, 513, 887, 3122, 540, 20334, 688, 4979, 689, 5840, 267, 4789, 267, 543, 519, 2136, 2276, 269, 2755, 519, 14172, 568, 4396, 267, 519, 1570, 568, 11593, 3015, 547, 513, 2442, 5304, 267, 543, 519, 960, 568, 14996, 1836, 11609, 257, 630, 5228, 519, 7732, 4750, 2689, 676, 6424, 645, 269, 2274, 11803, 1040, 6423, 849, 519, 14893, 2689, 676, 667, 269, 918, 3757, 345, 2401, 563, 274, 12531, 269, 834, 2467, 616, 2312, 14422, 538, 713, 960, 281, 519, 8106, 1974, 540, 14558, 28649, 2053, 568, 2016, 1454, 811, 2230, 543, 3007, 982, 13400, 267, 10120, 267, 610, 2413, 2053, 267, 1498, 519, 8545, 616, 6039, 676, 1082, 5386, 4930, 30385, 316, 634, 10924, 5304, 5161, 540, 5640, 543, 1053, 3909, 2090, 267, 6014, 2090, 543, 2686, 1686, 257, 630, 5228, 519, 5623, 540, 19978, 9085, 2689, 676, 28199, 15243, 1040, 6423, 849, 519, 7732, 4750, 2689, 676, 6754, 631, 269, 18087, 17839, 543, 519, 14893, 2689, 536, 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, 17194, 1315, 4937, 1315, 6014, 15979, 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, 6092, 5149, 281, 9012, 13574, 11429, 543, 24517, 1674, 692, 5331, 596, 2811, 8384, 707, 5172, 7641, 1397, 267, 2542, 513, 2442, 13371, 1433, 267, 610, 4730, 513, 3381, 3014, 2813, 676, 513, 2754, 596, 2648, 269, 5620, 596, 2479, 9289, 945, 22595, 1346, 3549, 543, 875, 621, 1522, 1860, 1018, 596, 1294, 543, 1224, 286, 901, 568, 1141, 649, 4685, 883, 519, 1158, 540, 2923, 9562, 543, 5834, 256, 2913, 781, 2263, 713, 4241, 1888, 1927, 780, 1262, 1432, 1281, 2923, 9562, 1611, 15140, 2691, 649, 2911, 827, 2923, 9562, 267, 649, 3277, 547, 519, 1004, 610, 3906, 602, 1378, 543, 1852, 519, 3549, 3743, 585, 2870, 543, 26084, 2923, 1543, 899, 14786, 267, 17476, 267, 7270, 267, 9413, 267, 7641, 2982, 267, 2575, 267, 5925, 10473, 267, 2835, 267, 543, 3381, 3756, 269, 1452, 5411, 666, 3310, 1018, 2186, 540, 2984, 1205, 5143, 267, 875, 789, 2811, 4843, 267, 543, 1256, 1018, 8369, 616, 3838, 780, 1262, 3963, 798, 649, 991, 547, 917, 827, 2923, 5834, 15140, 3086, 4952, 952, 835, 1268, 610, 3919, 11262, 1082, 540, 1346, 2923, 3549, 1107, 602, 1131, 2285, 873, 3833, 513, 3787, 540, 1379, 936, 1018, 1344, 649, 4309, 1169, 1554, 256, 1879, 1175, 513, 1906, 9988, 1852, 1034, 540, 519, 2923, 19093, 538, 513, 2197, 610, 3148, 267, 649, 1289, 602, 2923, 5834, 269, 1656, 1247, 972, 3884, 1405, 4376, 20244, 4636, 609, 2348, 1804, 2923, 14078, 267, 1932, 1454, 5834, 666, 1711, 2042, 269, 1280, 1383, 267, 950, 1152, 513, 19625, 540, 3549, 6430, 1018, 3377, 4991, 4080, 630, 528, 711, 1070, 3309, 5380, 949, 581, 2451, 856, 267, 3056, 547, 1447, 5483, 4961, 780, 4131, 781, 1413, 693, 930, 1483, 8996, 1806, 281, 5994, 2713, 538, 513, 4884, 1141, 835, 2462, 2754, 22595, 782, 519, 2199, 14786, 267, 7641, 9055, 267, 543, 5925, 10473, 269, 1358, 1223, 3442, 547, 1867, 5631, 1434, 1919, 8345, 1472, 4884, 855, 11716, 2152, 7133, 7264, 11874, 269, 2107, 6148, 789, 3870, 1978, 2797, 10457, 1317, 789, 2671, 2147, 5784, 610, 4690, 269, 23657, 1259, 267, 519, 3668, 540, 4244, 2959, 3762, 1004, 23387, 540, 824, 2798, 540, 2070, 780, 1103, 2487, 1296, 267, 2029, 814, 5129, 513, 5458, 1909, 538, 4657, 875, 2923, 1568, 269, 2060, 519, 4473, 540, 3059, 5867, 543, 4950, 2533, 267, 2757, 2923, 4213, 1419, 19467, 609, 7658, 1260, 543, 10509, 23766, 269, 1306, 513, 1267, 267, 519, 2907, 3908, 1297, 540, 2101, 5716, 9428, 4130, 267, 2810, 741, 1761, 1764, 593, 2486, 780, 11101, 267, 2799, 2883, 21341, 5540, 519, 5823, 1813, 547, 13302, 19614, 689, 10229, 543, 31941, 687, 269, 3509, 2923, 3906, 7048, 8185, 593, 9520, 543, 6994, 23924, 267, 1818, 873, 811, 7925, 547, 5007, 7506, 269, 6884, 267, 3486, 598, 6921, 9593, 919, 10536, 8101, 8843, 540, 6469, 3601, 267, 2417, 16756, 532, 519, 7535, 540, 4830, 9739, 780, 1262, 1692, 666, 22124, 948, 2226, 3666, 15140, 294, 4261, 906, 543, 8041, 5001, 3715, 6042, 6322, 693, 7303, 7050, 2923, 5834, 269, 1635, 4259, 3652, 12145, 519, 6871, 540, 2344, 2671, 1022, 2582, 11769, 666, 3180, 267, 789, 4126, 547, 2327, 2635, 6735, 1851, 1585, 7426, 269, 3958, 267, 12001, 8989, 4170, 5512, 1857, 22987, 267, 5329, 3025, 18177, 780, 4913, 267, 4540, 3656, 10850, 3006, 6560, 547, 1832, 909, 609, 4028, 6639, 13120, 543, 9687, 1870, 2853, 269, 5455, 323, 908, 891, 4808, 3788, 2629, 585, 11495, 519, 1318, 3666, 1063, 5807, 5647, 543, 17420, 9111, 780, 1262, 6962, 16001, 3528, 1631, 267, 596, 1174, 1946, 6616, 827, 2923, 9562, 543, 5834, 6927, 269, 898, 2337, 721, 5660, 519, 2956, 540, 4763, 543, 14619, 538, 938, 3232, 9570, 540, 9913, 543, 3377, 269, 5457, 267, 1373, 1134, 26455, 1797, 6236, 2789, 7285, 1354, 8108, 606, 6644, 269, 1924, 1985, 942, 596, 2972, 707, 5172, 7260, 610, 19820, 883, 513, 13739, 267, 1491, 513, 4090, 547, 1589, 827, 945, 781, 3297, 621, 543, 1018, 789, 3142, 547, 519, 3349, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24127, 4994, 910, 4750, 4994, 910, 9137, 4994, 910, 10934, 476, 955, 7982, 454, 763, 1459, 1257, 23607, 519, 2242, 538, 519, 2497, 540, 519, 2923, 1062, 538, 2185, 3162, 1977, 2477, 1282, 519, 1101, 8717, 540, 519, 476, 2641, 560, 2540, 281, 18335, 267, 8478, 267, 16266, 543, 772, 2607, 340, 599, 269, 634, 2489, 23350, 568, 602, 519, 1699, 2157, 540, 5834, 538, 2923, 6990, 723, 18965, 1282, 519, 1101, 8717, 540, 519, 476, 2641, 560, 2540, 607, 513, 12343, 540, 519, 3140, 3157, 799, 723, 3144, 1747, 538, 891, 2477, 267, 4352, 1142, 814, 1114, 8129, 543, 2360, 538, 1142, 540, 891, 3084, 2665, 269, 16842, 5834, 267, 519, 2923, 19427, 609, 26313, 543, 519, 5769, 267, 519, 3395, 2883, 13829, 540, 519, 5823, 267, 519, 4914, 11601, 540, 513, 1713, 2179, 540, 741, 3959, 693, 519, 3946, 540, 29505, 10909, 543, 519, 6433, 540, 519, 1699, 9431, 10850, 616, 519, 1292, 10850, 585, 1620, 519, 7004, 540, 519, 2923, 538, 519, 8828, 595, 821, 540, 5824, 3013, 269, 634, 3157, 540, 1689, 1541, 604, 773, 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, 4215, 13574, 11429, 543, 24517, 1674, 257, 607, 851, 540, 834, 30311, 1315, 18058, 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, 769, 519, 7706, 540, 1857, 3609, 267, 1906, 2152, 616, 607, 1950, 543, 15491, 607, 7784, 543, 3595, 1301, 6042, 269, 2311, 922, 4295, 267, 713, 2361, 11394, 547, 3666, 1367, 22624, 609, 7104, 3106, 543, 3354, 269, 2290, 2460, 602, 814, 21959, 1229, 1713, 3007, 538, 2487, 1296, 568, 17461, 6744, 7010, 630, 289, 5425, 1070, 799, 4196, 607, 513, 2565, 1907, 538, 7303, 5732, 5906, 2043, 689, 13844, 32205, 269, 901, 1576, 1770, 786, 5490, 883, 519, 14960, 540, 645, 5425, 267, 3695, 741, 1686, 267, 3483, 267, 7687, 267, 543, 6286, 585, 1977, 9111, 780, 2414, 2253, 267, 1577, 721, 4983, 519, 8129, 540, 4282, 2638, 1949, 538, 519, 2136, 2276, 269, 634, 17659, 344, 7435, 30516, 20222, 10644, 2920, 540, 476, 1960, 274, 6825, 513, 7432, 1448, 538, 5313, 7784, 1852, 4507, 676, 8260, 908, 4282, 11974, 585, 17053, 1688, 30516, 4136, 553, 619, 269, 715, 3139, 1310, 6276, 17659, 344, 267, 945, 729, 16094, 13676, 1282, 519, 13986, 26923, 540, 5518, 30370, 31144, 267, 519, 1876, 3964, 519, 2817, 2382, 656, 22518, 17461, 6744, 3590, 630, 301, 12903, 264, 896, 519, 1625, 1613, 540, 519, 8549, 13163, 540, 27148, 630, 293, 10292, 1040, 1306, 513, 21438, 6538, 5627, 5638, 17640, 547, 6634, 540, 2043, 267, 715, 12903, 6087, 13931, 4308, 619, 547, 13182, 2436, 513, 1761, 23138, 568, 771, 23974, 1881, 689, 26539, 513, 3595, 1301, 1813, 547, 2188, 971, 607, 7803, 31710, 267, 2790, 1072, 7755, 644, 10716, 267, 610, 6469, 5208, 27047, 842, 9753, 780, 4407, 3288, 24231, 676, 930, 607, 513, 2629, 1900, 4724, 7393 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7976, 4507, 7142, 1453, 883, 10821, 3506, 267, 19275, 2757, 18428, 267, 543, 27209, 1893, 946, 543, 2686, 4082, 269, 6736, 891, 23434, 267, 11076, 6428, 880, 5159, 9738, 741, 22805, 5389, 676, 8429, 1524, 10752, 543, 1983, 1369, 3885, 543, 2950, 269, 4653, 267, 11076, 6428, 880, 649, 28316, 3136, 26016, 1944, 543, 3048, 908, 2390, 3140, 2409, 267, 4180, 602, 713, 1898, 5057, 540, 741, 6561, 3788, 7524, 543, 4143, 563, 274, 269, 12634, 11076, 6428, 880, 1284, 3058, 13756, 454, 17457, 11076, 6428, 880, 649, 28316, 2308, 1312, 2757, 543, 1007, 2326, 538, 741, 11247, 269, 3509, 9192, 10991, 11103, 543, 24470, 609, 12725, 19122, 2371, 543, 2831, 267, 10452, 9687, 10333, 547, 6151, 2326, 1813, 547, 22713, 543, 20012, 269, 1635, 8508, 2413, 2609, 267, 5159, 1711, 2189, 4773, 4448, 547, 3504, 9821, 2943, 3358, 547, 2221, 781, 2796, 269, 3958, 267, 789, 4497, 7820, 5481, 538, 29076, 1565, 3255, 267, 8497, 519, 15364, 540, 6428, 880, 22805, 2553, 1247, 5807, 2146, 2679, 543, 16882, 563, 275, 269, 12124, 8092, 17716, 543, 26532, 16624, 454, 2026, 811, 7087, 1004, 22109, 547, 4683, 7740, 267, 14237, 6209, 4296, 609, 2199, 3338, 3587, 2629, 269, 769, 3210, 267, 7341, 899, 8935, 326, 18722, 781, 10878, 611, 2742, 698, 527, 27411, 6828, 3343, 547, 6536, 7087, 19642, 538, 1875, 13652, 6463, 5054, 269, 1635, 10128, 2686, 2853, 27137, 607, 3395, 16392, 2371, 543, 512, 2056, 10651, 1765, 20041, 4683, 8916, 267, 2516, 899, 715, 298, 294, 948, 12115, 519, 16398, 1102, 21719, 676, 19525, 543, 3895, 8733, 6940, 269, 5015, 267, 2502, 538, 2244, 2861, 2238, 16881, 3444, 14426, 5188, 543, 2069, 267, 7700, 547, 6626, 6848, 3356, 2509, 21047, 563, 276, 269, 20710, 3101, 12815, 543, 10558, 281, 634, 10020, 540, 3203, 538, 12124, 23994, 454, 31413, 7087, 5159, 2721, 6667, 689, 741, 11937, 262, 10752, 543, 3082, 873, 547, 2413, 10450, 269, 9335, 1148, 267, 19698, 267, 9597, 1023, 267, 543, 1857, 12644, 4196, 607, 5867, 585, 4687, 6386, 827, 1686, 267, 3961, 267, 4187, 267, 543, 7067, 269, 23889, 11076, 6428, 880, 22805, 18305, 883, 4683, 5624, 17188, 4630, 720, 547, 2757, 15312, 1247, 9870, 4656, 1851, 1875, 268, 29378, 9458, 3823, 519, 4797, 4527, 543, 10083, 540, 7087, 5380, 563, 277, 269, 12694, 543, 19662, 538, 4860, 1388, 1944, 7087, 8551, 454, 8601, 2799, 1719, 538, 7087, 6575, 267, 1896, 9465, 2611, 267, 1519, 3908, 7616, 267, 17077, 2200, 267, 7214, 3959, 13882, 267, 543, 21678, 21195, 269, 18601, 891, 2152, 3340, 5698, 1063, 2229, 8041, 267, 3872, 5238, 267, 15882, 267, 26847, 267, 543, 29065, 3906, 269, 16871, 1071, 268, 21551, 3631, 5849, 12581, 6041, 543, 3375, 6194, 1379, 585, 7087, 2950, 538, 5935, 875, 741, 2686, 7215, 616, 3838, 543, 12873, 269, 5047, 267, 6220, 7087, 6575, 883, 1153, 3292, 10597, 2875, 6278, 543, 8992, 3444, 14426, 1620, 563, 278, 269, 10390, 281, 12968, 1681, 1323, 6827, 832, 267, 6184, 25378, 8892, 9198, 725, 454, 3528, 6313, 11076, 6428, 880, 22805, 7258, 4683, 2244, 3347, 267, 713, 1576, 1770, 8711, 519, 4105, 1909, 602, 1148, 4249, 538, 24569, 7087, 9163, 9624, 4657, 1514, 543, 2797, 16374, 269, 1306, 1053, 1451, 827, 519, 3860, 3157, 3238, 538, 6721, 18955, 25704, 543, 7198, 519, 1764, 540, 2244, 2861, 2853, 538, 4683, 2127, 267, 789, 2097, 547, 5660, 519, 27265, 543, 16177, 540, 7087, 9082, 945, 11179, 11441, 547, 2226, 741, 7554, 609, 2244, 543, 2146, 5103, 14488, 269, 11086, 267, 14120, 7087, 6575, 8309, 547, 2518, 7391, 4478, 4763, 267, 9698, 267, 543, 5126, 267, 11121, 17604, 543, 2463, 1851, 782, 9082, 7610, 1746, 25725, 6816, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 938, 8772, 8400, 540, 519, 1473, 3394, 1125, 610, 12603, 3126, 267, 609, 938, 16823, 8935, 326, 18722, 649, 786, 2263, 1018, 621, 1797, 547, 723, 6805, 2078, 609, 2244, 538, 519, 2749, 563, 291, 537, 326, 568, 513, 13653, 540, 10878, 611, 2742, 698, 527, 27411, 6828, 630, 301, 298, 294, 1070, 799, 1568, 547, 11177, 6805, 9021, 547, 519, 2244, 543, 1216, 538, 17842, 269, 715, 298, 294, 568, 2324, 609, 4683, 6805, 1004, 9544, 11955, 267, 544, 895, 12202, 267, 8165, 12362, 2249, 267, 543, 5885, 6805, 2686, 1565, 593, 519, 2244, 538, 519, 2749, 563, 291, 537, 326, 786, 1491, 721, 593, 513, 3308, 543, 2239, 3460, 2059, 519, 851, 540, 519, 670, 3784, 5211, 1141, 713, 960, 814, 1044, 2921, 1747, 269, 1284, 786, 1287, 581, 13934, 547, 2307, 912, 268, 1548, 616, 930, 540, 519, 6286, 540, 2348, 6805, 2078, 547, 2244, 538, 4683, 5468, 888, 268, 1215, 1281, 519, 11808, 540, 713, 2078, 9305, 547, 21047, 267, 28160, 1436, 543, 556, 23949, 3394, 1436, 888, 268, 1548, 616, 930, 540, 519, 3078, 7399, 543, 2591, 888, 4131, 721, 4734, 607, 513, 9371, 513, 3460, 13175, 267, 540, 11808, 543, 4126, 585, 519, 2104, 1252, 10620, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 7087, 3203, 540, 25725, 6816, 1315, 11076, 6428, 880, 1284, 3058, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 12124, 29088, 22450, 602, 616, 7996, 585, 519, 2132, 540, 13566, 4365, 563, 25444, 693, 519, 594, 9448, 12567, 568, 9599, 547, 1332, 20698, 657, 1975, 514, 778, 630, 290, 601, 657, 807, 2415, 550, 20660, 264, 1586, 269, 20698, 657, 1975, 514, 778, 630, 10193, 1572, 30645, 1975, 514, 778, 267, 610, 661, 325, 334, 1744, 32634, 264, 568, 538, 519, 2549, 541, 13183, 1920, 543, 814, 4190, 26070, 1790, 584, 921, 3762, 609, 513, 15280, 6492, 602, 2731, 8591, 547, 519, 8137, 9043, 540, 25235, 267, 27130, 1299, 13489, 1922, 1845, 563, 299, 31310, 22156, 568, 711, 3833, 607, 15280, 607, 930, 540, 519, 824, 993, 541, 13183, 3762, 594, 4076, 13820, 539, 1354, 269, 1306, 596, 1522, 17429, 576, 689, 519, 2012, 267, 519, 2030, 568, 6805, 547, 4639, 4000, 267, 855, 789, 8604, 547, 581, 1134, 9862, 547, 519, 11934, 543, 2916, 540, 519, 4024, 600, 8291, 9503, 4832, 269, 15020, 3002, 543, 10980, 27031, 26008, 634, 2030, 5810, 2663, 538, 519, 4005, 267, 799, 568, 606, 3773, 22429, 585, 25199, 269, 634, 18848, 657, 22156, 729, 971, 513, 17681, 1840, 547, 519, 4677, 2063, 4832, 2507, 594, 4076, 3769, 513, 4605, 267, 519, 20698, 657, 22156, 568, 31314, 1063, 519, 2458, 1841, 543, 3141, 25154, 538, 519, 8666, 563, 296, 849, 1544, 547, 2119, 3395, 811, 1216, 28447, 713, 1032, 269, 1284, 1152, 12630, 1079, 1216, 28447, 2371, 693, 519, 594, 9448, 12567, 2063, 1032, 267, 543, 789, 1705, 711, 4023, 1134, 269, 1284, 1098, 680, 5896, 873, 513, 3787, 3735, 267, 865, 594, 1810, 1406, 1589, 789, 1185, 2614, 942, 547, 3914, 15657, 269, 901, 1032, 594, 6557, 4142, 21899, 827, 476, 5611, 13483, 1111, 896, 519, 1164, 15993, 585, 3395, 1216, 28447, 2336, 296, 1810, 1406, 723, 1022, 4566, 585, 9544, 713, 5614, 267, 607, 972, 568, 1360, 2370, 9205, 2230, 693, 1250, 2777, 538, 4856, 341, 718, 529, 267, 543, 519, 11255, 2230, 568, 4867, 13856, 676, 1250, 18618, 7015, 779, 1082, 267, 1082, 13151, 28684, 267, 543, 1010, 9241, 11255, 10538, 3529, 269, 1809, 693, 1250, 1920, 779, 3484, 267, 1250, 3158, 814, 14365, 1819, 891, 2250, 1906, 6855, 1296, 547, 3142, 1394, 1200, 840, 7302, 10242, 4677, 602, 1352, 6068, 547, 960, 538, 563, 1607, 5614, 1352, 568, 4058, 593, 9544, 930, 1114, 2010, 540, 16603, 2371, 267, 607, 649, 616, 513, 16603, 15962, 1920, 269, 2701, 849, 14560, 547, 2030, 3141, 25154, 1169, 1032, 267, 543, 649, 723, 513, 7893, 16311, 593, 799, 835, 4991, 519, 32399, 269, 594, 1589, 713, 1032, 1352, 568, 2469, 547, 2119, 1200, 1688, 693, 3395, 1114, 2010, 540, 18717, 543, 23601, 269, 594, 917, 1352, 568, 1360, 9599, 267, 543, 14560, 547, 2119, 547, 547, 1332, 1082, 1114, 1919, 267, 865, 952, 4896, 814, 1022, 10372, 267, 1352, 1131, 2648, 547, 5873, 873, 563, 1103, 2474, 540, 3395, 1426, 585, 519, 2831, 267, 519, 23161, 2648, 547, 3548, 1022, 630, 338, 12522, 264, 2451, 13569, 267, 610, 1022, 936, 686, 701, 3771, 341, 3949, 269, 32506, 789, 1810, 1406, 899, 267, 519, 14918, 616, 811, 982, 6126, 547, 2973, 909, 256, 1924, 649, 1810, 1406, 1332, 4376, 1808, 267, 855, 930, 29202, 616, 30011, 5452, 585, 519, 23161, 267, 543, 12277, 585, 519, 14918, 269, 32087, 1934, 568, 938, 23820, 25326, 332, 1122, 543, 1200, 9002, 689, 2063, 4832, 267, 7996, 585, 930, 13000, 2336, 2171, 1810, 1406, 723, 513, 10448, 4677, 2469, 2943, 267, 855, 2063, 1032, 649, 1185, 606, 5863, 3382, 7693, 3575, 585, 519, 533, 5417, 4169, 602, 941, 968, 1066, 990, 730, 892, 676, 938, 14918, 269, 634, 3575, 3769, 993, 541, 13183, 267, 2361, 17112, 267, 23601, 267, 3141, 25154, 267, 669, 807, 267, 28140, 877, 267, 2113, 2280, 267, 22408, 32758, 267, 30485, 267, 513, 3099, 540, 23611, 9274, 267, 543, 824, 1919, 602, 594, 7948, 1406, 2697, 269, 898, 729, 6157, 519, 1034, 8966, 27892, 28532, 602, 594, 4076, 2938, 267, 855, 938, 16933, 543, 13265, 6068, 621, 2336, 4131, 721, 917, 1018, 596, 2461, 3168, 4464, 547, 3395, 713, 1032, 2421, 6085, 532, 2630, 2336, 2026, 851, 540, 9457, 8493, 10273, 10432, 693, 519, 1439, 540, 5239, 267, 594, 1185, 519, 4316, 547, 2070, 968, 26668, 1530, 3517, 281, 634, 25052, 540, 623, 2884, 744, 644, 6504, 892, 543, 7119, 538, 513, 4901, 19952, 269, 901, 5063, 3146, 548, 1078, 4670, 814, 4547, 17105, 3007, 547, 519, 10651, 543, 8916, 2813, 676, 713, 18368, 3146, 11471, 14704, 269, 3571, 2442, 1857, 4677, 6272, 267, 543, 1896, 2835, 267, 723, 1185, 513, 7096, 1764, 593, 519, 1374, 540, 1857, 5624, 267, 607, 1134, 607, 4357, 10651, 563, 302, 644, 6504, 779, 10651, 723, 1044, 4330, 607, 21245, 267, 15138, 543, 2067, 2065, 267, 543, 7048, 8185, 593, 21823, 543, 7293, 17506, 10118, 547, 2226, 3308, 1719, 1134, 883, 519, 5162, 269, 1358, 18427, 8768, 23752, 803, 27595, 543, 9299, 597, 625, 267, 543, 3100, 693, 1101, 16145, 899, 4025, 602, 1223, 267, 8197, 267, 723, 7018, 31380, 269, 744, 644, 6504, 5128, 26342, 267, 1498, 267, 602, 789, 2154, 513, 1978, 2179, 540, 968, 5793, 12401, 5608, 543, 1010, 1374, 1184, 568, 3102, 543, 1360, 1808, 269, 1261, 814, 513, 29984, 540, 2371, 602, 646, 814, 7318, 936, 942, 585, 15006, 543, 1198, 563, 7628, 519, 16036, 4005, 267, 835, 4337, 1149, 891, 10651, 786, 581, 18388, 532, 609, 25199, 267, 543, 581, 4025, 540, 18512, 267, 17237, 2534, 269, 1879, 621, 2501, 547, 25199, 267, 621, 4667, 267, 3592, 1022, 4677, 568, 1732, 982, 1100, 4677, 693, 782, 267, 543, 513, 4677, 3085, 1406, 991, 547, 581, 2966, 2523, 585, 25199, 538, 1931, 547, 2709, 2640, 547, 873, 269, 1306, 1382, 538, 713, 2978, 814, 3254, 267, 1498, 267, 513, 4677, 2966, 4481, 547, 581, 3542, 13541, 7874, 814, 606, 16080, 1242, 1764, 563, 3383, 594, 9289, 267, 875, 3542, 13541, 7888, 616, 744, 644, 6504, 779, 2067, 2065, 10651, 267, 2731, 286, 2201, 519, 2318, 2427, 281, 3040, 31849, 540, 5810, 269, 3245, 2038, 4005, 547, 3735, 267, 1919, 616, 28480, 269, 12518, 616, 2451, 7555, 1134, 883, 5162, 267, 3246, 6079, 543, 12062, 269, 3040, 9741, 610, 1100, 946, 540, 13851, 269, 3040, 7111, 2371, 616, 1419, 3769, 267, 1498, 972, 568, 1100, 1880, 8561, 593, 873, 563, 4002, 519, 2942, 2427, 281, 3040, 20904, 3322, 5969, 3388, 547, 519, 2666, 538, 3735, 5162, 269, 901, 30001, 519, 5162, 5321, 540, 13570, 5991, 20535, 10987, 602, 946, 519, 11710, 269, 2311, 519, 700, 584, 773, 4677, 538, 9628, 267, 713, 1966, 729, 6444, 543, 3268, 941, 3144, 547, 4734, 930, 11710, 7555, 269, 3040, 19768, 540, 2482, 1359, 269, 634, 11599, 744, 644, 6504, 4677, 568, 7768, 3592, 7357, 540, 10786, 17675, 17506, 10118, 267, 609, 4054, 543, 1804, 19211, 15877, 269, 901, 7182, 519, 11865, 540, 1426, 543, 7226, 585, 513, 3099, 540, 7068, 563, 296, 3494, 25199, 1223, 581, 1732, 6462, 676, 744, 644, 6504, 16654, 10651, 609, 1614, 2241, 2242, 269, 3040, 5901, 544, 15735, 2127, 547, 513, 5934, 269, 6828, 2371, 609, 1434, 5162, 21224, 11710, 267, 543, 4734, 873, 7555, 2394, 789, 616, 4988, 676, 1007, 2208, 269, 3040, 3417, 543, 1895, 1507, 2516, 540, 3677, 2371, 971, 607, 5078, 1507, 4054, 543, 19211, 269, 3040, 26875, 1125, 5065, 2371, 1141, 2009, 563, 2252, 596, 1131, 899, 547, 917, 811, 827, 623, 2884, 744, 644, 6504, 779, 10651, 267, 2030, 5079, 267, 543, 1374, 1184, 267, 1934, 616, 930, 4704, 2326, 269, 1656, 952, 596, 1205, 519, 4960, 267, 4585, 519, 4670, 968, 26668, 1530, 3517, 281, 634, 25052, 540, 623, 2884, 744, 644, 6504, 9731, 291, 3195, 12518, 585, 519, 7849, 12567, 676, 7009, 330, 15168, 761, 11420, 543, 623, 2884, 744, 644, 6504, 267, 7033, 828, 4964, 476, 1220, 271, 26243, 513, 17048, 630, 24392, 711, 782, 2371, 616, 3182, 3293, 264, 540, 2371, 602, 744, 644, 6504, 814, 7583, 1194, 547, 581, 968, 516, 28754, 2371, 602, 267, 936, 519, 1296, 267, 666, 581, 9738, 538, 606, 3328, 4677, 1510, 1932, 1454, 538, 519, 1259, 540, 5841, 605, 1186, 543, 29103, 1359, 6100, 3509, 540, 873, 968, 19972, 1434, 4666, 5608, 1932, 269, 1452, 616, 519, 2371, 646, 3096, 538, 1010, 6272, 269, 1358, 616, 5258, 883, 6688, 540, 570, 965, 623, 15959, 10118, 630, 1492, 13074, 3296, 676, 2484, 1070, 7591, 995, 645, 1329, 333, 10118, 543, 16316, 338, 267, 24410, 7632, 727, 12833, 5297, 12518, 267, 543, 24410, 7632, 727, 7167, 878, 1190, 12518, 1107, 15991, 519, 8912, 6688, 256, 1403, 596, 616, 606, 4810, 32529, 543, 1616, 606, 17170, 4704, 585, 2371, 602, 786, 3986, 707, 2067, 4677, 1510, 8506, 13907, 540, 960, 267, 713, 1433, 568, 585, 596, 563, 5522, 13589, 5071, 281, 25052, 538, 5384, 543, 6611, 676, 623, 2884, 744, 644, 6504, 543, 3143, 601, 18301, 12064, 267, 7033, 828, 4964, 476, 1220, 276, 2201, 519, 824, 1688, 267, 952, 596, 616, 711, 606, 4810, 32529, 267, 713, 1433, 1522, 581, 513, 1732, 1747, 547, 1376, 269, 898, 568, 513, 4278, 604, 1399, 4367, 547, 519, 2035, 540, 875, 10651, 3514, 883, 2470, 267, 543, 13030, 17930, 267, 543, 875, 2371, 666, 581, 1031, 998, 2230, 1107, 543, 942, 256, 1107, 547, 1711, 519, 5551, 4093, 269, 1703, 616, 1082, 8638, 540, 2371, 585, 1808, 5301, 267, 971, 607, 9540, 19029, 547, 9192, 609, 17506, 10118, 267, 543, 645, 1329, 333, 10118, 585, 1582, 1606, 12976, 267, 543, 513, 2110, 855, 3730, 3296, 593, 875, 547, 5965, 585, 267, 2936, 267, 543, 2226, 513, 9544, 540, 713, 4990, 563, 5522, 13589, 281, 589, 1715, 21887, 676, 623, 2884, 744, 644, 6504, 543, 3143, 601, 18301, 12064, 267, 7033, 828, 4964, 476, 1001, 274, 901, 1433, 13976, 593, 519, 3105, 1079, 267, 5356, 513, 2143, 1413, 693, 519, 2553, 543, 6138, 744, 644, 6504, 3096, 547, 1374, 1010, 10651, 267, 607, 1134, 607, 1808, 2081, 538, 799, 646, 3096, 2371, 538, 873, 269, 589, 4005, 8386, 5498, 1783, 3391, 26819, 338, 1585, 2360, 543, 10659, 267, 543, 513, 5750, 2509, 519, 1439, 13801, 569, 1418, 3278, 1082, 540, 519, 2371, 1031, 269, 2290, 540, 519, 1034, 4277, 2035, 568, 602, 540, 5119, 9544, 563, 2690, 811, 1469, 593, 519, 5137, 540, 1808, 10651, 676, 623, 2884, 744, 644, 6504, 267, 972, 616, 849, 2835, 593, 9966, 17745, 334, 267, 519, 4400, 7412, 267, 543, 667, 2720, 331, 1228, 12426, 563, 763, 8682, 4149, 7739, 532, 12567, 676, 8834, 16399, 267, 7033, 828, 4964, 476, 1220, 278, 769, 713, 1433, 5119, 9544, 568, 4843, 538, 1390, 1469, 269, 901, 568, 606, 2500, 543, 3608, 1259, 540, 8888, 954, 2719, 1194, 2030, 902, 1510, 2348, 547, 14574, 519, 4087, 540, 1142, 543, 1169, 2030, 269, 634, 5119, 630, 21865, 21823, 264, 949, 581, 1500, 909, 540, 1896, 2030, 2249, 267, 543, 5713, 607, 513, 3942, 585, 824, 267, 1397, 1512, 15095, 2371, 11251, 538, 621, 563, 291, 1090, 1738, 12186, 609, 11629, 1116, 12518, 676, 3143, 601, 18301, 12064, 267, 3683, 19972, 4964, 267, 476, 1960, 278, 744, 644, 6504, 779, 8783, 1603, 7649, 814, 3812, 1082, 29810, 2835, 5128, 269, 1306, 519, 2140, 6257, 267, 713, 1433, 6212, 593, 2371, 609, 2178, 543, 10565, 6189, 269, 11109, 930, 540, 891, 538, 519, 3575, 568, 513, 1883, 4480, 602, 2306, 744, 644, 6504, 779, 6272, 960, 563, 20332, 2065, 31896, 5071, 676, 715, 580, 601, 14480, 32200, 267, 2083, 6975, 2046, 476, 1001, 280, 2060, 513, 2062, 5320, 676, 267, 945, 3116, 267, 623, 2884, 744, 644, 6504, 267, 713, 568, 835, 540, 519, 1034, 2487, 13366, 538, 519, 7121, 540, 2835, 2519, 593, 2067, 610, 2067, 2065, 1374, 269, 898, 779, 513, 10053, 1433, 609, 693, 2547, 607, 1454, 1257, 607, 10344, 267, 8720, 4677, 561, 648, 689, 8978, 267, 998, 4207, 267, 543, 3168, 547, 519, 2104, 269, 9978, 1374, 3741, 267, 607, 789, 829, 1555, 547, 513, 2067, 2065, 1374, 267, 616, 849, 4843, 267, 2059, 609, 513, 3126, 540, 2013, 2090, 11609, 676, 12119, 6337, 269, 29972, 609, 7111, 12518, 540, 519, 7414, 19566, 676, 14880, 918, 745, 322, 651, 6199, 543, 27692, 932, 1779, 518, 4149, 22574, 267, 2160, 540, 6115, 4964, 267, 476, 1001, 280, 269, 1656, 6368, 267, 952, 596, 1616, 547, 946, 623, 301, 310, 5065, 2371, 547, 3035, 744, 644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 538, 1455, 941, 741, 7802, 267, 519, 7663, 29718, 1131, 5957, 24915, 543, 1185, 32639, 1247, 519, 562, 514, 329, 553, 21039, 909, 538, 782, 3109, 543, 6410, 24847, 269, 634, 7663, 29718, 941, 1164, 909, 1362, 538, 3567, 1247, 519, 562, 514, 329, 553, 941, 1970, 1362, 24271, 523, 2456, 543, 22278, 269, 634, 7663, 29718, 1031, 513, 737, 520, 3570, 1247, 519, 562, 514, 329, 553, 1031, 519, 695, 584, 1731, 523, 267, 799, 729, 519, 562, 514, 10937, 5182, 267, 14936, 267, 519, 7663, 29718, 5030, 676, 519, 3009, 540, 17382, 18480, 799, 789, 5645, 856, 2429, 741, 2729, 1247, 519, 562, 514, 329, 553, 1131, 1152, 946, 741, 1983, 547, 12638, 563, 763, 6341, 29718, 543, 562, 514, 329, 553, 1185, 513, 1906, 1919, 538, 1455, 585, 1383, 267, 519, 7663, 29718, 543, 562, 514, 329, 553, 3323, 741, 2866, 693, 513, 1360, 1762, 2085, 269, 6271, 3364, 519, 562, 514, 329, 553, 543, 7663, 29718, 1185, 538, 1455, 729, 519, 1249, 602, 789, 941, 21787, 676, 519, 1004, 538, 3567, 543, 602, 789, 941, 1312, 21847, 538, 3567, 563, 763, 23698, 851, 540, 519, 17382, 18480, 3009, 602, 1223, 581, 519, 23698, 3364, 519, 7663, 29718, 1223, 723, 4553, 729, 519, 1249, 602, 952, 789, 941, 9676, 676, 741, 14763, 610, 1185, 547, 2149, 741, 8956, 543, 14017, 267, 602, 789, 1131, 6146, 2933, 538, 606, 957, 1634, 607, 694, 653, 4157, 340, 269, 901, 1185, 547, 581, 519, 23698, 851, 585, 519, 7663, 29718, 1317, 789, 1131, 1439, 741, 2729, 538, 1931, 547, 2149, 741, 8956, 269, 634, 2601, 1946, 519, 7663, 29718, 1223, 723, 3144, 713, 3009, 865, 12517, 568, 1317, 621, 729, 741, 6138, 540, 741, 1272, 543, 789, 8036, 609, 713, 3009, 689, 519, 4098, 540, 741, 2866, 563, 1103, 3932, 267, 519, 7663, 29718, 543, 562, 514, 329, 553, 941, 1079, 2010, 540, 21847, 538, 3567, 267, 519, 7663, 29718, 941, 15626, 21847, 602, 941, 6743, 909, 547, 1247, 519, 562, 514, 329, 553, 941, 16926, 762, 24271, 523, 2456, 543, 1131, 6146, 4896, 585, 513, 3902, 269, 2311, 519, 1482, 942, 789, 941, 1312, 8449, 21787, 676, 519, 1004, 540, 3567, 563, 1862, 263, 323, 5877, 519, 1964, 540, 519, 1557, 1657, 264, 0, 2304, 18342, 8254, 1522, 711, 581, 519, 2186, 540, 1907, 3025, 2115, 1472, 519, 2777, 267, 855, 585, 7463, 5301, 789, 616, 9048, 2897, 762, 269, 14333, 1606, 14819, 2029, 568, 5140, 585, 31986, 4057, 13471, 538, 513, 1753, 267, 12570, 2127, 540, 1216, 3441, 267, 4152, 8143, 13907, 538, 1379, 2645, 543, 14233, 267, 543, 16221, 824, 3096, 269, 2201, 519, 3318, 2427, 267, 789, 616, 1898, 3937, 585, 23001, 16146, 945, 1590, 2697, 3905, 9634, 538, 6821, 543, 19659, 267, 610, 585, 10626, 4600, 12570, 5547, 787, 689, 513, 3845, 269, 1403, 596, 991, 513, 1907, 547, 3313, 519, 3002, 15040, 540, 12303, 1022, 6219, 610, 2627, 267, 1934, 779, 1018, 547, 1413, 585, 538, 606, 18342, 8254, 563, 1607, 2203, 814, 513, 476, 13136, 9943, 8182, 6571, 269, 670, 16210, 29930, 842, 2967, 454, 2690, 519, 1034, 2347, 2079, 540, 513, 1966, 267, 606, 18342, 11281, 1058, 849, 723, 513, 7298, 2000, 697, 8254, 269, 901, 4183, 2636, 596, 547, 5635, 2592, 2427, 676, 2427, 267, 610, 538, 930, 2665, 609, 7298, 3877, 9788, 936, 519, 3002, 13506, 610, 10268, 607, 513, 4605, 2987, 1790, 27348, 2070, 269, 21091, 7298, 2000, 697, 12514, 1118, 621, 1454, 4443, 547, 1174, 1018, 596, 616, 3168, 693, 563, 2791, 666, 1921, 713, 3926, 547, 707, 18760, 585, 2653, 1239, 19132, 269, 18919, 7644, 454, 11947, 7779, 18342, 12514, 2709, 3239, 4859, 2901, 547, 519, 6531, 610, 593, 513, 6131, 3965, 3556, 269, 901, 568, 2523, 1271, 585, 18342, 7397, 602, 4183, 7298, 1769, 12514, 267, 799, 666, 3132, 2592, 602, 27653, 909, 513, 2603, 540, 4859, 2230, 269, 589, 4859, 5420, 2636, 711, 1152, 513, 2594, 540, 2837, 13220, 3144, 936, 942, 855, 849, 513, 10375, 1797, 547, 29289, 543, 2671, 519, 1239, 563, 1607, 2203, 10525, 2837, 1083, 1734, 1063, 476, 1691, 543, 476, 23714, 5232, 674, 269, 18919, 7644, 454, 28319, 823, 17356, 568, 1776, 7156, 269, 1323, 18342, 8254, 1058, 6292, 609, 513, 15291, 610, 5985, 8800, 2901, 998, 513, 18292, 267, 29402, 267, 610, 31923, 4276, 547, 3561, 543, 2689, 4681, 1055, 21935, 269, 2368, 8596, 786, 1256, 960, 4481, 609, 513, 5985, 3926, 547, 4159, 13220, 2047, 547, 513, 16335, 267, 5100, 31296, 267, 610, 16979, 538, 1483, 6066, 269, 0, 763, 5440, 2296, 18049, 9669, 3245, 589, 1700, 313, 454, 272, 263, 514, 5177, 264, 20681, 1294, 849, 4960, 961, 677, 515, 1401, 3832, 20960, 2443, 1714, 512, 525, 19660, 533, 14243, 321, 997, 334, 454, 268, 26554, 27891, 540, 519, 1401, 3832, 20960, 538, 476, 6942, 275, 268, 3199, 267, 3345, 322, 1774, 16309, 2598, 5361, 328, 607, 6205, 538, 519, 12780, 538, 476, 6942, 277, 267, 1498, 1010, 11552, 848, 609, 519, 30856, 781, 3609, 936, 519, 8109, 7726, 2968, 10423, 563, 13981, 2296, 286, 3367, 2859, 6168, 634, 5678, 3371, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1879, 891, 11444, 1205, 17808, 1813, 547, 2566, 267, 4057, 6484, 267, 610, 824, 2188, 267, 621, 666, 1291, 547, 9636, 267, 1928, 267, 610, 4576, 269, 2334, 781, 1141, 22591, 2501, 538, 256, 1635, 29780, 6263, 19271, 693, 5730, 6753, 2059, 519, 5789, 573, 2103, 267, 606, 1035, 1575, 9417, 584, 626, 2337, 796, 23026, 1022, 6188, 15297, 267, 3850, 707, 1648, 547, 2095, 12347, 1586, 780, 3086, 267, 4605, 3054, 8066, 513, 4677, 25652, 269, 1403, 596, 1900, 593, 519, 25652, 267, 1216, 4465, 1405, 581, 2111, 547, 1780, 998, 3362, 267, 1318, 286, 1809, 952, 596, 4894, 707, 3723, 267, 519, 1216, 8928, 11884, 2899, 811, 269, 6684, 267, 950, 707, 1560, 781, 1648, 630, 21406, 1627, 328, 264, 8188, 3625, 1137, 267, 621, 2115, 6351, 547, 16056, 922, 3339, 3350, 269, 1656, 602, 781, 4010, 1018, 22591, 1281, 2439, 4131, 781, 1491, 513, 6251, 1413, 693, 875, 606, 22591, 8400, 1522, 979, 1384, 272, 269, 13693, 566, 281, 6969, 4358, 2126, 267, 519, 19995, 786, 10004, 609, 596, 827, 707, 2589, 267, 2564, 1686, 267, 543, 2949, 1072, 563, 273, 269, 10261, 548, 23453, 542, 281, 2991, 7234, 707, 4145, 267, 519, 1035, 1575, 9417, 584, 626, 786, 9900, 1747, 25062, 267, 4552, 6253, 514, 19271, 693, 1585, 2798, 593, 707, 2960, 269, 1411, 949, 1745, 513, 13581, 533, 4459, 610, 512, 17532, 267, 855, 1034, 1004, 1867, 4743, 1360, 17159, 1282, 713, 1184, 563, 274, 269, 4039, 1314, 566, 281, 4495, 782, 519, 19271, 616, 538, 1747, 267, 596, 3513, 1964, 20354, 585, 1472, 476, 736, 3764, 1247, 519, 19271, 960, 741, 9059, 256, 3509, 1004, 946, 713, 942, 547, 23040, 267, 1199, 10028, 267, 610, 3274, 7938, 785, 563, 275, 269, 31203, 281, 2311, 519, 1439, 540, 707, 8400, 267, 519, 1035, 1575, 9417, 584, 626, 786, 5402, 4894, 519, 19271, 543, 2638, 538, 609, 596, 827, 875, 596, 2811, 4743, 780, 5278, 1455, 4128, 1004, 2490, 547, 22591, 1331, 14331, 267, 1394, 1928, 267, 4160, 267, 20026, 267, 543, 9667, 2152, 269, 2755, 1382, 568, 1869, 5571, 3823, 922, 7145, 267, 3875, 2090, 2303, 602, 22591, 666, 1683, 1713, 8323, 585, 891, 2175, 269, 9578, 267, 2094, 22591, 8992, 11005, 543, 3666, 1369, 519, 1560, 267, 621, 1223, 849, 5818, 707, 4761, 1062, 543, 2087, 2949, 1134, 5630, 2439, 1103, 3932, 267, 3695, 1114, 2010, 540, 3782, 899, 22591, 2636, 721, 547, 1491, 5279, 540, 938, 1378, 1072, 3460, 269, 3807, 3314, 602, 1100, 2582, 1505, 1568, 9985, 585, 3025, 267, 865, 1810, 1405, 19292, 547, 1865, 1585, 3681, 609, 707, 4387, 610, 3782, 8502, 269, 8625, 267, 596, 666, 1711, 513, 10531, 1544, 547, 1832, 596, 6126, 267, 2635, 267, 543, 14762, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6124, 5729, 14484, 687, 3592, 1079, 1296, 883, 519, 2048, 17471, 17455, 2438, 9957, 1772, 621, 942, 547, 1413, 693, 513, 11455, 1935, 888, 2026, 649, 2253, 1776, 1007, 1032, 267, 543, 3592, 1079, 1296, 883, 519, 2518, 6855, 799, 814, 10969, 730, 2729, 543, 2950, 538, 513, 3099, 540, 2081, 267, 972, 814, 1044, 2370, 4704, 547, 4509, 19993, 1072, 998, 2732, 543, 6197, 269, 769, 1249, 267, 5717, 593, 713, 1888, 723, 1419, 1044, 25323, 610, 1256, 28457, 539, 267, 2495, 602, 1346, 5009, 2870, 2175, 585, 1072, 723, 5433, 26723, 2350, 2213, 543, 14944, 1441, 269, 3776, 1543, 814, 2141, 5059, 593, 2921, 811, 1852, 540, 938, 1072, 267, 1312, 12214, 543, 5626, 267, 543, 649, 723, 4797, 547, 798, 713, 998, 938, 11600, 5137, 543, 1489, 540, 3549, 649, 616, 9158, 1227, 13988, 609, 269, 1717, 938, 2489, 1072, 543, 8171, 4930, 723, 1044, 1447, 7928, 269, 1284, 21028, 602, 713, 814, 1044, 693, 513, 942, 789, 616, 5310, 1034, 2877, 267, 543, 649, 23294, 1047, 585, 602, 269, 594, 4076, 6170, 930, 942, 10452, 593, 519, 1995, 540, 5856, 779, 3625, 15029, 2119, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10907, 17815, 257, 607, 851, 540, 834, 25503, 1315, 20010, 1299, 7388, 29232, 6925, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 6530, 1354, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 27355, 1405, 621, 1945, 899, 3843, 547, 1174, 1946, 1004, 798, 1018, 789, 798, 2496, 8334, 281, 22549, 256, 1656, 3006, 267, 950, 1004, 991, 948, 23115, 856, 741, 4606, 610, 5615, 267, 789, 1522, 2911, 547, 513, 2618, 6139, 1905, 626, 1107, 2576, 945, 781, 8036, 547, 6432, 543, 2285, 5796, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 952, 594, 729, 4743, 8909, 782, 519, 942, 543, 4769, 1405, 917, 1946, 267, 594, 1223, 2911, 547, 513, 2618, 6139, 1905, 626, 827, 621, 2496, 8334, 281, 8786, 267, 9090, 256, 1358, 666, 948, 596, 1174, 707, 4664, 1732, 543, 1256, 1265, 2081, 547, 1745, 18668, 269, 6884, 267, 789, 849, 960, 609, 3885, 610, 15185, 547, 2087, 2792, 543, 4194, 2042, 1927, 780, 7692, 281, 2334, 4992, 8799, 269, 6145, 267, 952, 803, 543, 1250, 11078, 941, 8165, 513, 2603, 267, 6148, 513, 2618, 6139, 1905, 626, 1223, 948, 721, 1205, 2059, 1732, 888, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 553, 540, 2259, 454, 268, 18816, 910, 16508, 267, 8447, 267, 20351, 454, 268, 17520, 543, 5924, 7754, 545, 454, 268, 6555, 13396, 543, 5924, 9484, 9653, 454, 268, 14856, 15136, 454, 268, 717, 4361, 543, 13809, 910, 4937, 454, 268, 4804, 24894, 454, 268, 25141, 543, 5924, 20556, 12983, 454, 268, 9608, 12618, 454, 268, 5403, 3004, 9964, 13262, 13081, 454, 268, 8682, 7232, 4614, 655, 12983, 454, 268, 13262, 5004, 454, 268, 32183, 10657, 454, 268, 15465, 29007, 531, 10657, 630, 30274, 994, 268, 32313, 958, 10312, 539, 21676, 1255, 10657, 630, 9128, 307, 994, 268, 717, 2714, 2006, 6396, 21676, 1255, 10657, 454, 268, 25141, 1299, 21676, 1255, 6076, 18522, 454, 268, 5369, 334, 7232, 3027, 1049, 10495, 454, 268, 5369, 15351, 24608, 10657, 454, 268, 5369, 17871, 10657, 454, 8448, 4654, 9275, 454, 290, 1735, 18522, 2259, 3896, 281, 4178, 269, 576, 1467, 321, 709, 559, 30592, 2593, 454, 14188, 596, 585, 9683, 1250, 3896, 269, 1306, 513, 10805, 18673, 267, 594, 4076, 1044, 8026, 538, 26551, 543, 3345, 26551, 585, 936, 476, 736, 1296, 267, 3246, 21911, 543, 28400, 268, 14445, 1049, 10526, 563, 296, 960, 609, 1453, 267, 10708, 267, 2043, 543, 15185, 547, 3986, 741, 2729, 676, 5807, 2123, 1689, 267, 1646, 267, 543, 1565, 269, 594, 723, 1185, 519, 4316, 522, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 31499, 1315, 21676, 1255, 1299, 7731, 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, 4985, 912, 295, 8960, 2530, 666, 581, 513, 1950, 543, 15491, 3390, 267, 21214, 513, 2039, 540, 1761, 3123, 267, 21904, 267, 543, 5574, 269, 2290, 3226, 4101, 1858, 540, 1353, 3322, 2665, 1141, 2550, 3132, 22522, 610, 9583, 27105, 2164, 1282, 24384, 5852, 4152, 269, 1452, 8320, 979, 676, 1082, 4408, 910, 1519, 29660, 1506, 335, 659, 639, 529, 267, 1875, 16955, 6217, 2530, 267, 543, 6198, 6217, 2530, 910, 543, 616, 1419, 10483, 676, 513, 3984, 540, 824, 2474, 971, 607, 544, 2718, 1359, 267, 771, 4882, 574, 6819, 267, 535, 1136, 267, 905, 793, 532, 267, 7503, 267, 543, 1728, 3122, 807, 269, 2755, 891, 10297, 2671, 1978, 10486, 267, 621, 781, 1271, 547, 1174, 741, 13857, 3604, 543, 7687, 269, 5047, 267, 621, 781, 2629, 585, 3782, 7426, 547, 1935, 891, 3871, 609, 8417, 267, 6568, 267, 543, 11826, 6268, 2409, 780, 303, 12065, 334, 1506, 335, 659, 639, 529, 5288, 6348, 16955, 5288, 23398, 24651, 13809, 281, 4197, 6206, 20212, 454, 5785, 24801, 19030, 265, 567, 2878, 303, 12065, 334, 1506, 335, 659, 639, 529, 5093, 4676, 619, 4481, 547, 2665, 1141, 2043, 2408, 547, 17543, 1253, 677, 741, 1449, 2164, 267, 3335, 1813, 547, 5626, 2188, 899, 4160, 610, 2566, 269, 634, 2165, 3294, 10522, 513, 7301, 6041, 540, 3834, 334, 659, 639, 529, 630, 515, 2130, 2530, 1070, 10223, 519, 20982, 2470, 540, 713, 2623, 269, 1717, 267, 621, 781, 1898, 547, 5431, 602, 2550, 2502, 538, 29660, 1506, 335, 659, 639, 529, 1522, 22992, 3494, 789, 1995, 6217, 7965, 267, 635, 2364, 908, 3646, 547, 10646, 1063, 18532, 12879, 543, 9758, 15717, 563, 265, 567, 2878, 15239, 16955, 6217, 2530, 5093, 9324, 4925, 1022, 3236, 1141, 6217, 19518, 3112, 581, 14360, 1394, 547, 30753, 2168, 3441, 610, 2068, 3157, 7133, 519, 1274, 610, 17391, 8229, 269, 5502, 267, 1875, 16955, 9271, 8451, 689, 1585, 5626, 267, 1514, 267, 610, 2825, 2188, 269, 898, 781, 4502, 15663, 602, 1247, 930, 2043, 22393, 3765, 10517, 6974, 741, 2589, 267, 1866, 1522, 796, 4621, 19290, 7369, 1449, 4093, 1813, 547, 5817, 3929, 11605, 610, 5007, 12503, 563, 265, 567, 2878, 293, 23341, 6217, 2530, 5093, 3683, 331, 2355, 3648, 609, 1312, 29660, 1506, 335, 659, 639, 529, 543, 1875, 16955, 6217, 2530, 267, 10771, 519, 4527, 540, 17391, 14524, 1510, 5214, 2014, 269, 8616, 267, 6198, 6217, 2530, 849, 16621, 6626, 3344, 540, 1480, 2623, 267, 14344, 875, 5042, 267, 28146, 267, 543, 1914, 32241, 2609, 3565, 547, 9402, 4681, 269, 1306, 971, 267, 6198, 6217, 2530, 4564, 513, 11455, 5133, 267, 10128, 6211, 267, 5626, 267, 543, 1514, 7516, 540, 1072, 780, 19741, 6997, 1564, 281, 19484, 13216, 26616, 14924, 7870, 454, 24801, 15365, 11693, 519, 6946, 16799, 1063, 12214, 267, 5626, 267, 543, 32638, 4632, 12018, 24384, 6248, 2773, 267, 13461, 9003, 593, 10368, 10297, 4220, 936, 13678, 680, 4328, 6927, 269, 1677, 2327, 4977, 10526, 543, 2500, 2126, 4566, 267, 19353, 1058, 9772, 513, 3102, 18465, 2134, 22181, 5943, 950, 10442, 2550, 27109, 1651, 784, 745, 748, 1449, 2164, 269, 16930, 2994, 1331, 1384, 2162, 22685, 1154, 21111, 31588, 1229, 22604, 692, 10890, 3249, 9439, 991, 547, 6536, 10319, 12352, 609, 7218, 267, 8362, 6947, 547, 741, 4145, 267, 4570, 908, 741, 2833, 267, 543, 4509, 1930, 2792, 9055, 2429, 519, 4879, 1184, 269, 1635, 11744, 8296, 543, 6568, 267, 4648, 1711, 2922, 5624, 20009, 547, 9237, 1582, 3146, 1636, 532, 267, 5009, 3972, 543, 29037, 780, 2162, 22034, 5564, 573, 7645, 16214, 9828, 692, 2414, 2272, 585, 519, 16221, 7506, 5935, 24384, 6248, 14245, 267, 4966, 4363, 14139, 3309, 4152, 5773, 7258, 2757, 6986, 2389, 821, 24384, 5852, 269, 1280, 1383, 267, 4633, 6284, 4247, 267, 17974, 16846, 7403, 267, 522, 1729, 659, 15064, 5434, 630, 302, 20067, 264, 4152, 267, 543, 32661, 903, 8344, 18362, 1683, 14911, 1239, 2798, 267, 7393, 2949, 8223, 540, 1367, 8647, 2066, 2789, 11890, 780, 2162, 23889, 19120, 5511, 4578, 14635, 10613, 692, 1805, 19099, 11042, 267, 26830, 267, 543, 8343, 2638, 29812, 7110, 11050, 14573, 267, 13830, 3407, 13865, 1344, 827, 2123, 12583, 267, 6197, 6208, 267, 3929, 2829, 267, 543, 18144, 269, 26157, 12007, 4030, 609, 6662, 3800, 6087, 811, 13857, 12496, 540, 4767, 22114, 267, 13057, 3617, 6304, 5542, 780, 6962, 281, 16871, 29203, 27870, 4591, 2065, 5516, 454, 24801, 19567, 32382, 519, 9597, 5652, 7297, 4478, 29660, 1506, 335, 659, 639, 529, 267, 1875, 16955 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 763, 2622, 2657, 9257, 11225, 7087, 5095, 607, 5205, 281, 834, 10919, 885, 602, 2661, 1369, 267, 610, 616, 7923, 547, 267, 32321, 3982, 2757, 9249, 610, 18577, 11182, 267, 543, 945, 2697, 2933, 607, 1373, 851, 540, 513, 3982, 2686, 1895, 267, 26731, 689, 2516, 1459, 538, 519, 1858, 1354, 2413, 2829, 941, 2813, 543, 1699, 10665, 3989, 269, 1358, 3622, 2226, 2686, 543, 1514, 9163, 267, 543, 1514, 267, 2804, 267, 2686, 543, 2797, 5238, 267, 5094, 689, 519, 13416, 610, 8789, 2486, 610, 2528, 4799, 763, 7361, 16402, 1417, 878, 865, 10777, 834, 19990, 21226, 257, 8367, 5267, 602, 1152, 1098, 334, 4117, 545, 630, 28158, 264, 3935, 9088, 666, 1831, 519, 834, 1278, 257, 547, 9082, 3989, 2443, 676, 4334, 2443, 607, 834, 785, 4246, 2668, 23745, 7605, 321, 1231, 11339, 281, 3097, 17829, 945, 1131, 899, 547, 5581, 6805, 9082, 607, 14311, 9601, 540, 3864, 19525, 723, 2322, 4464, 519, 865, 10777, 1412, 19990, 21226, 262, 8367, 267, 2687, 547, 799, 19525, 568, 1152, 19525, 952, 621, 3238, 519, 15385, 540, 1216, 538, 513, 6928, 267, 711, 952, 621, 729, 519, 1267, 540, 21037, 676, 2244, 269, 30385, 316, 713, 8367, 814, 1044, 9244, 24016, 676, 3624, 267, 799, 29102, 602, 621, 3568, 1100, 6805, 9082, 269, 1809, 824, 7489, 6082, 267, 899, 519, 13372, 267, 3567, 267, 543, 12868, 267, 723, 15653, 713, 2856, 267, 543, 1256, 3624, 814, 544, 3176, 922, 8100, 269, 30385, 316, 519, 4674, 547, 4688, 519, 2189, 16203, 540, 2342, 1131, 726, 25128, 721, 883, 2347, 21494, 640, 267, 2612, 6295, 3864, 6576, 1247, 621, 849, 24279, 519, 6805, 4567, 540, 519, 9082, 540, 519, 24272, 30510, 543, 27584, 4997, 2059, 609, 519, 30724, 2940, 640, 540, 782, 824, 1306, 2103, 563, 31528, 2959, 540, 519, 18190, 1974, 11760, 7087, 1004, 7247, 789, 5219, 547, 607, 834, 303, 601, 553, 326, 2103, 2668, 9147, 5830, 4718, 891, 1004, 2901, 607, 519, 11937, 540, 519, 16380, 267, 610, 607, 606, 4505, 1895, 540, 1004, 945, 20948, 10255, 1354, 519, 16380, 269, 634, 29916, 543, 5730, 3961, 540, 713, 5449, 1895, 568, 21792, 267, 543, 2959, 971, 607, 25264, 267, 31928, 1675, 543, 4173, 617, 582, 639, 2285, 8795, 267, 13148, 29631, 6589, 269, 667, 542, 903, 3780, 540, 16199, 545, 7568, 817, 639, 538, 1010, 1433, 267, 4936, 4165, 1172, 885, 267, 3947, 513, 5348, 641, 6776, 7664, 540, 519, 19994, 553, 326, 2103, 1759, 593, 519, 2959, 2139, 547, 1864, 1287, 267, 25759, 602, 19994, 553, 326, 2103, 941, 5259, 269, 13983, 1723, 7304, 2674, 2486, 25577, 1063, 476, 20065, 14514, 543, 476, 25953, 9460, 543, 9333, 809, 20422, 11044, 540, 21037, 602, 7449, 25390, 811, 982, 3368, 540, 519, 1634, 1158, 540, 519, 942, 269, 1809, 1317, 2907, 2291, 550, 5095, 1369, 824, 2694, 540, 2342, 693, 519, 942, 540, 8106, 25196, 1185, 811, 538, 1455, 910, 15520, 6340, 910, 609, 519, 13983, 1723, 7304, 2674, 1158, 267, 519, 14960, 3238, 538, 7269, 2066, 519, 3864, 20281, 941, 711, 865, 1543, 1190, 3448, 547, 7087, 2152, 563, 8450, 849, 281, 7826, 5783, 543, 519, 6520, 540, 20570, 454, 763, 14985, 540, 6602, 568, 513, 3656, 543, 3909, 1523, 267, 13615, 547, 519, 4936, 7826, 5783, 267, 799, 7787, 1242, 543, 834, 29729, 1242, 257, 17091, 543, 519, 9518, 1359, 540, 7087, 9082, 538, 519, 4064, 540, 4168, 1242, 17417, 269, 4340, 547, 7087, 2924, 262, 15628, 543, 3656, 5640, 7917, 808, 269, 16019, 267, 10496, 842, 320, 681, 15843, 267, 30038, 20811, 2142, 327, 16781, 339, 267, 543, 29895, 344, 14811, 6199, 267, 519, 5072, 540, 519, 14985, 979, 1394, 607, 2484, 607, 519, 11359, 10601, 1402, 525, 543, 3401, 538, 519, 5939, 945, 1185, 27606, 540, 8108, 513, 2518, 4168, 1455, 17314, 269, 634, 12724, 3547, 630, 11820, 277, 268, 14096, 272, 1070, 10692, 547, 9156, 519, 10513, 14924, 689, 7332, 20630, 832, 267, 3710, 593, 713, 20440, 540, 513, 1175, 16666, 13411, 2112, 1996, 1346, 7247, 519, 5939, 4718, 607, 1102, 573, 1564, 269, 15352, 26735, 12510, 10001, 781, 12591, 689, 476, 14862, 271, 941, 3226, 9565, 2390, 8071, 29234, 632, 15117, 543, 18018, 334, 717, 8527, 3780, 267, 16712, 3656, 1235, 945, 5030, 538, 519, 31303, 543, 27867, 5553, 543, 1131, 2663, 3565, 3648, 547, 519, 1684, 551, 9068, 540, 20570, 538, 741, 9757, 3864, 3751, 20819, 269, 26735, 12510, 10001, 11130, 602, 10271, 941, 20582, 538, 32415, 543, 16565, 1102, 573, 1564, 262, 3338, 1317, 621, 729, 519, 5939, 781, 10279, 547, 1852, 519, 5289, 1072, 540, 782, 3425, 593, 3047, 269, 634, 14985, 2919, 2417, 538, 519, 476, 1428, 628, 2540, 1310, 519, 4655, 1063, 519, 1855, 583, 4577, 12928, 2074, 543, 12996, 936, 1852, 540, 834, 335, 12298, 257, 26403, 807, 269, 2311, 519, 7027, 540, 4790, 766, 630, 15221, 275, 264, 519, 12928, 2074, 11130, 602, 741, 6811, 941, 834, 17769, 676, 13099, 531, 605, 743, 600, 725, 6580, 689, 519, 942, 540, 519, 12724, 3547, 1496, 6518, 316, 4847, 519, 30739, 1476, 4593, 566, 540, 519, 3959, 543, 19988, 2924, 540, 3002, 2380, 2668, 634, 7027, 9969, 7517, 267, 17548, 602, 1875, 268, 13731, 2103, 1185, 6811, 547, 2924, 540, 16285, 543, 3959, 896, 2067, 1876, 16804, 321, 316, 1717, 267, 519, 7027, 909, 18988, 602, 9518, 3949, 1223, 834, 5586, 958, 257, 2049, 952, 1875, 268, 13731, 2103, 15189, 547, 16783, 609, 4168, 1436, 543, 2067, 1876, 269, 901, 3927, 5921, 602, 9082, 945, 941, 711, 2808, 834, 322, 2753, 1242, 257, 676, 3864, 4441, 610, 6382, 15189, 547, 15849, 30968, 896, 4168, 6392, 941, 1641, 547, 2112, 543, 7142, 21939, 281, 834, 13731, 2103, 3274, 15189, 547, 5431, 519, 1318, 540, 1875, 268, 13731, 2103, 547, 2611, 1863, 540, 4168, 2531, 514, 542, 4799, 22146, 17417, 1185, 2907, 13175, 32415, 543, 3935, 1944, 3338, 3544, 540, 2342, 1354, 519, 7027, 540, 4790, 766, 267, 11744, 875, 519, 14985, 729, 4294, 547, 1875, 268, 22146, 7087, 9082, 3544, 2342, 269, 769, 519, 476, 1691, 628, 543, 476, 1428, 628, 5553, 267, 519, 7087, 9082, 540, 519, 2052, 776, 11866, 267, 1634, 607, 2871, 534, 2583, 267, 2968, 519, 1641, 540, 930, 3935, 9088, 262, 3007, 269, 634, 2871, 534, 2583, 1185, 7283, 3768, 626, 32328, 543, 5266, 834, 1721, 326, 13516, 257, 676, 17417, 2394, 17577, 3459, 5619, 532, 519, 6532, 585, 1761, 11175, 538, 476, 16328, 272, 269, 769, 476, 16328, 275, 519, 14466, 2329, 9783, 513, 13032, 799, 8655, 519, 10195, 547, 10011, 850, 267, 513, 10806, 538, 8050, 269, 769, 476, 9610, 273, 267, 519, 5053, 3459, 3646, 547, 28117, 543, 3935, 1125, 519, 10195, 16804, 321, 21392, 2707, 2877, 316, 769, 476, 16960, 277, 15352, 26290, 523, 3780, 10001, 9783, 513, 1007, 13099, 531, 1196, 1112, 267, 4936, 639, 30716, 1057, 343, 267, 799, 17101, 17577, 547, 6460, 7087, 9082, 547, 8567, 543, 547, 1852, 519, 2052, 776, 11866, 593, 15773, 540, 519, 28831, 269, 634, 2871, 534, 2583, 5706, 539, 3864, 12289, 2394, 519, 21704, 540, 519, 2871, 534, 3832, 15438, 540, 570, 10273, 1057, 547, 8050, 538, 476, 14983, 277, 269, 634, 28164, 4547, 9552, 543, 3676, 547, 519, 2871, 534, 3832, 1004, 267, 4171, 3961, 543, 2528, 20374, 607, 513, 1267, 16804, 321, 21392, 2707, 2877, 2639, 2026, 17577, 9450, 5045, 1189, 883, 3345, 4000, 538, 519, 476, 1428, 628, 2540, 267, 7766, 1402, 525, 3773, 1007, 1196, 1112, 338, 799, 6905, 14082, 6392, 936, 7087, 9082, 269, 769, 476, 13970, 276, 267, 15352, 22956, 966, 556, 268, 1170, 4240, 519, 4936, 639, 30716, 1057, 343, 609, 811, 1463, 1893, 267, 2278, 1944, 17577, 834, 1729, 28117, 267, 3406, 856, 267, 7001, 267, 8709, 638, 880, 267, 543, 1016, 16746, 782, 7203, 659, 839, 543, 533, 698, 753, 257, 607, 1134, 607, 3850, 1875, 268, 13731, 2103, 547, 581, 5116, 538, 8474, 543, 723, 741, 3959, 21687, 269, 1306, 7150, 676, 7917, 808, 269, 16019, 267, 10496, 842, 320, 681, 15843, 267, 30038, 20811, 2142, 327, 16781, 339, 267, 543, 29895, 344, 14811, 6199, 267, 519, 14985, 2919, 936, 942, 834, 1729, 17854, 519, 28735, 540, 1875, 268, 22146, 267, 1875, 26049, 9082, 543, 519, 1476, 4593, 725, 540, 741, 3338, 543, 2924, 8487, 6097, 547, 16019, 267, 681, 15843, 267, 2142, 327, 16781, 339, 267, 543, 14811, 6199, 267, 607, 17577, 1185, 1044, 11292, 834, 11279, 3827, 257, 676, 519, 13099, 2329, 547, 4228, 538, 4000, 267, 8050, 729, 6410, 547, 4228, 31023, 2066, 519, 9533, 7909, 267, 10478, 547, 6460, 543, 20630, 7087, 9082, 538, 1018, 2968, 1634, 607, 519, 834, 6124, 2622, 2668, 634, 13099, 531, 15134, 832, 539, 6498, 540, 519, 1158, 1063, 8050, 543, 17577, 729, 6101, 1242, 538, 519, 15521, 540, 570, 867, 525, 25022, 538, 476, 14983, 275, 269, 16019, 267, 681, 15843, 267, 2142, 327, 16781, 339, 267, 543, 14811, 6199, 1533, 602, 519, 7287, 547, 2263, 543, 20630, 3544, 540, 519, 13099, 531, 16278, 8655, 547, 17577, 3366, 5053, 3751, 30544, 543, 10348, 1772, 629, 7578, 547, 7006, 2255, 18332, 19090, 538, 476, 14983, 273, 609, 513, 5692, 547, 3935, 1125, 543, 3142, 1007, 3338, 896, 519, 5053, 13862, 269, 19090, 834, 29171, 2642, 257, 513, 1906, 10195, 538, 519, 12144, 607, 2038, 607, 476, 14983, 274, 267, 543, 30544, 543, 1772, 629, 7578, 5612, 4280, 519, 28831, 547, 834, 7806, 1518, 257, 519, 6602, 269, 769, 476, 14983, 274, 267, 15352, 12138, 17886, 9783, 519, 3955, 1309, 2678, 320, 2820, 2088, 328, 267, 799, 14751, 539, 602, 2094, 519, 10195, 1185, 1044, 834, 1495, 4593, 2642, 676, 1866, 257, 602, 789, 941, 1631, 896, 5053, 6392, 269, 12138, 11292, 8050, 1022, 3338, 602, 621, 4362, 607, 1279, 607, 789, 1185, 711, 1044, 834, 2181, 16227, 22234, 676, 1022, 4168, 8227, 2668, 769, 519, 2070, 540, 16019, 267, 681, 15843, 267, 2142, 327, 16781, 339, 267, 543, 14811, 6199, 267, 519, 20297, 540, 3864, 19525, 538, 519, 834, 6124, 2622, 257, 3927, 6101, 1242, 519, 1684, 551, 9068, 540, 20570, 883, 3486, 1876, 267, 799, 538, 741, 2070, 693, 602, 942, 5921, 1876, 602, 729, 8815, 2390, 676, 8050, 267, 17577, 267, 543, 519, 7826, 5783, 269, 7087, 9082, 941, 711, 31570, 610, 3769, 538, 891, 12417, 563, 1607, 2239, 568, 602, 540, 7917, 808, 269, 16019, 267, 10496, 842, 320, 681, 15843, 267, 30038, 20811, 2142, 327, 16781, 339, 267, 543, 29895, 344, 14811, 6199, 282, 782, 540, 7247, 616, 7087, 2924, 262, 15628, 543, 3656, 5640, 267, 693, 2053, 891, 4589, 13712, 547, 834, 1260, 618, 2209, 2580, 711, 12206, 267, 3119, 2959, 610, 4966, 593, 519, 1888, 269, 4340, 547, 12206, 267, 3486, 1876, 1705, 711, 22132, 609, 519, 834, 2710, 551, 9068, 540, 20570, 2580, 855, 814, 11478, 2094, 25196, 267, 621, 568, 2417, 519, 2070, 602, 1256, 1018, 1131, 581, 2808, 834, 19640, 3486, 1876, 257, 1705, 711, 2097, 883, 1373, 2394, 5553, 2663, 269, 9282, 1713, 7835, 543, 7760, 538, 3486, 1876, 3357, 827, 1813, 547, 543, 1282, 519, 2085, 540, 6602, 267, 519, 1808, 5783, 10752, 1045, 12097, 676, 16019, 267, 681, 15843, 267, 2142, 327, 16781, 339, 543, 14811, 6199, 941, 24080, 15653, 267, 1100, 4182, 2479, 5795, 1022, 3978, 2597, 630, 10175, 7826, 25267, 971, 607, 4789, 543, 5333, 264, 547, 873, 267, 4688, 8050, 543, 17577, 269, 2755, 621, 568, 2953, 602, 1312, 12770, 632, 966, 3218, 807, 543, 18018, 334, 717, 8527, 3780, 616, 4922, 2808, 15747, 538, 27724, 2413, 3486, 1876, 267, 1312, 941, 834, 8882, 1663, 10642, 257, 676, 519, 10752, 540, 15352, 26735, 12510, 10001, 1152, 538, 810, 30138, 607, 789, 15469, 519, 7915, 2924, 540, 782, 9082, 7488, 540, 741, 15984, 547, 8567, 267, 1312, 1500, 25337, 3646, 540, 7947, 532, 519, 1808, 5784, 540, 26735, 12510, 10001, 11855, 676, 16019, 267, 681, 15843, 267, 2142, 327, 16781, 339, 543, 14811, 6199, 269, 11569, 267, 621, 568, 538, 4890, 640, 519, 3964, 2070, 540, 5640, 543, 12206, 602, 15117, 267, 717, 8527, 3780, 543, 26290, 2940, 10001, 941, 2149, 832, 267, 711, 10779, 2456, 540, 7087, 9082, 269, 4329, 267, 519, 796, 4186, 6479, 2070, 540, 12206, 814, 2141, 1044, 602, 19090, 6603, 519, 12144, 538, 5239, 476, 14983, 273, 27677, 834, 553, 2038, 607, 476, 14983, 274, 21968, 2348, 1305, 13743, 609, 519, 9837, 540, 8757, 5607, 269, 898, 814, 1279, 1044, 8815, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1452, 2027, 11570, 616, 1572, 1395, 10415, 269, 1358, 1131, 4734, 741, 3885, 267, 2828, 267, 543, 6009, 3297, 547, 1106, 5094, 2950, 1634, 607, 20708, 625, 1107, 4025, 1141, 789, 1223, 1445, 9003, 593, 11755, 267, 1565, 267, 543, 4543, 1866, 780, 3086, 267, 1018, 1281, 621, 1491, 547, 1831, 513, 31494, 610, 562, 684, 286, 4270, 267, 1101, 835, 1590, 10929, 2866, 267, 2356, 4358, 693, 513, 1360, 1762, 2085, 269, 2991, 11264, 2596, 2069, 267, 14971, 26112, 610, 562, 12584, 1131, 6443, 513, 3909, 1931, 543, 1376, 1739, 1808, 3652, 1305, 676, 519, 27428, 540, 891, 9753, 269, 1280, 1383, 267, 853, 269, 31409, 3964, 4808, 585, 1010, 13794, 1472, 476, 4335, 5084, 602, 15091, 3666, 1063, 960, 543, 10847, 269, 3933, 10415, 6170, 3108, 1142, 1554, 32467, 267, 13465, 1728, 332, 985, 267, 2542, 10723, 5931, 267, 25718, 22251, 267, 543, 7900, 8261, 4074, 899, 8105, 543, 23477, 269, 2353, 891, 2238, 5280, 2226, 1312, 2168, 8171, 543, 5289, 2208, 780, 3719, 1946, 1705, 865, 1082, 3442, 713, 2619, 950, 621, 5921, 6028, 3388, 5432, 3297, 286, 2290, 2601, 1522, 723, 1044, 519, 7287, 585, 6617, 9624, 24360, 2797, 543, 1514, 5054, 269, 6271, 7872, 6013, 1369, 519, 3406, 585, 2495, 543, 3483, 3564, 1570, 22590, 269, 1635, 8508, 16134, 267, 6710, 267, 669, 770, 640, 267, 543, 24150, 267, 1395, 10415, 6322, 547, 1625, 1518, 741, 20339, 543, 2721, 6251, 547, 2696, 269, 3509, 849, 5156, 602, 3056, 606, 10841, 2045, 6197, 4847, 873, 547, 1732, 1174, 2933, 543, 12260, 10143, 7326, 780, 8170, 1576, 267, 1395, 2880, 1143, 7012, 1405, 1175, 585, 4079, 282, 1256, 1453, 15548, 538, 891, 2189, 2950, 269, 27258, 1419, 8678, 1395, 2880, 3506, 547, 4309, 5140, 1534, 725, 1247, 6690, 4121, 1898, 1983, 899, 22927, 267, 5986, 267, 543, 8808, 269, 2368, 1453, 8057, 909, 547, 1831, 26112, 610, 562, 12584, 2933, 267, 8876, 4464, 519, 5389, 540, 741, 22242, 780, 7069, 560, 6291, 5129, 513, 1713, 1909, 538, 1395, 2880, 1272, 1932, 269, 2755, 1395, 2880, 1143, 5059, 5097, 593, 18497, 2713, 543, 11295, 13467, 267, 7793, 6291, 1642, 1386, 883, 2123, 2833, 543, 1463, 13341, 609, 519, 23942, 269, 898, 9415, 32339, 547, 7903, 2250, 6671, 6302, 543, 6788, 547, 3035, 7096, 4030, 543, 9769, 609, 2696, 269, 25587, 4775, 4168, 7793, 545, 670, 843, 1122, 731, 13153, 29078, 523, 2899, 4330, 1200, 22649, 607, 834, 320, 535, 30711, 1769, 4947, 856, 540, 519, 14334, 1862, 3333, 1456, 9244, 543, 16213, 8521, 922, 12345, 936, 519, 2898, 2244, 2437, 799, 3947, 721, 606, 2856, 540, 519, 8515, 2404, 609, 971, 11240, 2218, 8090, 780, 9961, 1686, 267, 1395, 10415, 543, 7793, 923, 6273, 9118, 10952, 9840, 267, 2686, 5322, 267, 7499, 7215, 267, 3621, 7760, 267, 543, 3872, 5238, 269, 4256, 1764, 5170, 2221, 267, 22348, 721, 540, 519, 1379, 540, 20174, 267, 2146, 267, 26126, 267, 543, 7279, 269, 1306, 649, 16833, 909, 938, 3408, 540, 1395, 2880, 1143, 543, 7793, 6291, 1282, 10120, 2053, 267, 2015, 10452, 2390, 1018, 14405, 596, 2509, 9814, 543, 4898, 267, 543, 875, 5275, 4267, 949, 1291, 596, 1524, 6397, 10092, 540, 6602, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 265, 8437, 593, 519, 21985, 547, 4228, 2278, 22808, 543, 7493, 338, 540, 4574, 563, 272, 269, 3057, 7534, 1488, 7079, 16951, 630, 17206, 540, 29161, 994, 11321, 7534, 1488, 7079, 16951, 568, 513, 12854, 2875, 538, 519, 2160, 540, 29161, 269, 4173, 1382, 12116, 519, 9434, 1198, 16222, 814, 1185, 538, 519, 4332, 543, 4720, 540, 4207, 14810, 3332, 269, 4173, 824, 1382, 4690, 1331, 12563, 16897, 267, 18912, 8941, 543, 3440, 6758, 267, 543, 519, 1568, 540, 4589, 543, 15769, 971, 607, 6833, 787, 2398, 520, 3832, 1777, 267, 667, 10005, 654, 2106, 928, 13643, 267, 6833, 686, 6489, 1782, 267, 543, 24796, 744, 344, 5674, 655, 328, 269, 2701, 6585, 513, 22601, 538, 20989, 5525, 689, 519, 2817, 29518, 617, 626, 6929, 2160, 540, 18603, 543, 606, 16066, 8636, 538, 26135, 9085, 689, 519, 2160, 540, 29161, 269, 2701, 568, 513, 4759, 540, 519, 2160, 540, 29161, 779, 10418, 585, 26135, 543, 519, 20646, 2880, 267, 543, 513, 851, 540, 519, 12438, 1049, 12233, 585, 29161, 4139, 26135, 22062, 725, 630, 294, 9281, 3519, 1040, 2701, 666, 581, 6603, 693, 4757, 11333, 2593, 610, 593, 1000, 7867, 693, 7711, 1410, 5632, 756, 3293, 3966, 563, 289, 1168, 732, 19870, 11389, 5658, 539, 281, 674, 8543, 17134, 656, 618, 543, 1480, 1148, 538, 31656, 11253, 25760, 779, 23111, 6931, 543, 15576, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12507, 2880, 1143, 543, 3733, 560, 6291, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 19744, 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, 272, 281, 4197, 11557, 7081, 543, 9012, 692, 5970, 596, 2479, 8068, 875, 22099, 543, 7641, 2982, 1419, 1397, 1004, 554, 19982, 267, 8066, 3946, 267, 610, 21098, 532, 286, 2107, 6148, 596, 4312, 2938, 19297, 610, 17476, 609, 5961, 540, 1004, 538, 741, 896, 18875, 610, 7669, 338, 7057, 269, 1452, 2592, 616, 10876, 267, 543, 789, 666, 581, 14845, 610, 1256, 13943, 585, 930, 1004, 269, 1809, 1946, 616, 789, 972, 267, 543, 1018, 5048, 616, 789, 3843, 547, 6494, 2496, 5575, 267, 1577, 781, 2911, 827, 1945, 1572, 834, 16303, 7081, 1701, 11557, 7081, 568, 513, 2067, 851, 540, 1373, 1480, 269, 898, 2882, 1082, 1919, 267, 899, 938, 4555, 267, 4606, 267, 543, 18845, 2509, 824, 1004, 269, 898, 849, 2882, 519, 2081, 649, 2769, 6000, 998, 938, 7802, 267, 688, 1009, 5138, 267, 543, 5615, 269, 11557, 7081, 568, 513, 3339, 543, 2635, 851, 540, 3395, 909, 267, 855, 621, 781, 1271, 547, 3314, 602, 621, 781, 4357, 543, 2123, 269, 901, 1797, 602, 3025, 4991, 547, 6430, 585, 2933, 950, 543, 875, 789, 1616, 547, 2769, 741, 14920, 780, 3086, 267, 1394, 547, 1346, 18537, 543, 7641, 2982, 649, 5018, 4505, 269, 3509, 540, 873, 946, 3023, 344, 610, 2303, 633, 11052, 547, 1205, 938, 3007, 269, 1358, 1522, 2119, 547, 6133, 721, 9660, 267, 17539, 267, 610, 13526, 2541, 676, 1818, 721, 1589, 602, 1210, 741, 1587, 786, 1118, 721, 811, 10694, 610, 14909, 269, 1656, 1247, 972, 781, 4986, 4636, 609, 16462, 547, 1413, 8799, 610, 1745, 8746, 267, 621, 781, 1271, 547, 3314, 602, 1483, 5898, 2501, 689, 1369, 269, 898, 781, 711, 1175, 827, 875, 649, 1413, 593, 519, 3544, 780, 3719, 3006, 267, 891, 6835, 666, 979, 1932, 2484, 269, 1879, 14920, 568, 1031, 538, 513, 5739, 610, 771, 27920, 995, 1259, 267, 621, 666, 1831, 513, 1966, 269, 1280, 1383, 267, 930, 9413, 610, 3381, 3756, 1522, 1397, 10795, 610, 7518, 5511, 10207, 602, 1843, 1518, 2021, 610, 3895, 5906, 11475, 269, 901, 2186, 540, 2923, 666, 2285, 721, 513, 25302, 2070, 540, 14920, 543, 3347, 267, 799, 666, 1291, 547, 10539, 267, 10413, 267, 610, 2800, 780, 3383, 1018, 666, 649, 798, 827, 713, 286, 2290, 3364, 568, 547, 581, 2565, 6800, 540, 2923, 269, 901, 1797, 3206, 5402, 827, 519, 6835, 649, 1294, 543, 5873, 267, 543, 14045, 585, 6000, 2436, 789, 5447, 609, 938, 2418, 543, 4978, 269, 1284, 666, 849, 3343, 856, 2318, 1909, 3631, 543, 23003, 945, 666, 948, 3391, 721, 607, 649, 6330, 519, 1950, 1158, 540, 14920, 543, 3347, 780, 5194, 1271, 1900, 568, 547, 723, 1930, 543, 9237, 7391, 609, 11967, 4079, 267, 971, 607, 3237, 267, 3610, 267, 610, 24784, 269, 32695, 827, 3584, 899, 14920, 267, 9844, 267, 543, 6302, 666, 581, 26101, 610, 13943, 267, 855, 621, 781, 1898, 585, 2679, 2635, 3347, 543, 4509, 1434, 2790, 1072, 269, 1635, 18997, 6000, 543, 5275, 1489, 267, 649, 666, 1451, 547, 5660, 543, 8661, 938, 1378, 2189, 4638, 885, 267, 1247, 849, 8156, 1866, 609, 11587, 267, 2463, 267, 543, 15683, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16178, 2271, 22715, 1107, 3657, 1284, 667, 20621, 538, 519, 7351, 570, 15711, 9564, 540, 623, 1941, 2762, 888, 763, 1101, 11271, 540, 938, 6426, 7866, 513, 2696, 945, 1500, 14920, 4295, 547, 519, 1480, 1995, 269, 898, 729, 513, 4190, 10516, 547, 2972, 543, 513, 1259, 585, 14088, 543, 18832, 547, 968, 15640, 519, 3618, 543, 1016, 16746, 621, 1848, 630, 7049, 476, 272, 281, 2764, 11536, 309, 1040, 1717, 267, 952, 649, 798, 711, 14951, 543, 2463, 14920, 607, 2696, 5497, 267, 621, 5012, 547, 829, 11437, 267, 31561, 520, 787, 267, 17847, 267, 8213, 267, 543, 1256, 1582, 1673, 652, 2315, 269, 4706, 796, 1438, 543, 605, 16579, 633, 7060, 616, 6569, 543, 3181, 1078, 563, 763, 570, 15711, 9564, 568, 3371, 454, 763, 23329, 540, 27127, 2762, 568, 1100, 3476, 4947, 269, 898, 568, 1934, 269, 4653, 267, 5051, 267, 649, 3068, 513, 1642, 4007, 540, 2923, 543, 10229, 602, 814, 18348, 539, 2696, 779, 9837, 585, 3023, 543, 14920, 269, 10765, 1382, 18327, 972, 568, 1100, 4055, 585, 1159, 1872, 1145, 269, 1284, 616, 782, 693, 1981, 267, 2436, 5256, 610, 4775, 267, 1762, 610, 2025, 269, 634, 22406, 4222, 540, 891, 2686, 14768, 666, 546, 3497, 721, 538, 513, 986, 3101, 4262, 269, 898, 568, 942, 547, 16153, 930, 540, 721, 18418, 2299, 991, 513, 1272, 1095, 13996, 269, 1284, 949, 991, 547, 11760, 938, 12755, 543, 3914, 856, 585, 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, 6092, 5149, 281, 19248, 714, 2946, 932, 1218, 538, 12634, 8567, 692, 7072, 912, 1103, 938, 5051, 2518, 1242, 543, 10562, 1158, 267, 2575, 814, 1831, 513, 3532, 1907, 585, 5807, 9322, 543, 5009, 5289, 2208, 2066, 1114, 4529, 543, 5389, 1369, 8567, 269, 901, 1576, 1770, 12538, 883, 519, 7096, 4644, 543, 13710, 1761, 540, 19248, 714, 2946, 669, 1218, 607, 513, 1106, 540, 3909, 7574, 4082, 602, 25186, 10923, 6302, 543, 13462, 26902, 26802, 5001, 269, 1635, 6313, 741, 3140, 5072, 267, 7574, 4162, 267, 543, 4207, 10083, 267, 649, 786, 2263, 875, 891, 2241, 2943, 7184, 22298, 8964, 723, 2097, 547, 19582, 513, 3844, 1747, 538, 2413, 4168, 2259, 780, 23208, 12745, 912, 763, 1650, 540, 19248, 714, 2946, 5956, 538, 2022, 28131, 2782, 4083, 5333, 950, 19656, 23011, 5576, 583, 345, 8547, 606, 3235, 18210, 673, 1395, 2880, 2146, 538, 519, 1507, 8498, 540, 19248, 714, 2946, 269, 14301, 6667, 689, 1585, 4168, 29559, 267, 1519, 30871, 267, 17557, 1143, 267, 543, 18179, 344, 267, 519, 2146, 8179, 547, 11349, 21047, 543, 3895, 4708, 1282, 513, 942, 6825, 676, 2620, 15523, 543, 29383, 630, 309, 650, 720, 540, 19248, 714, 2946, 267, 562, 6155, 12175, 8535, 5129, 513, 11358, 1909, 538, 5935, 519, 3961, 540, 713, 2189, 5289, 10093, 267, 4758, 4332, 547, 1018, 1131, 5555, 1831, 1634, 607, 19248, 714, 2946, 669, 1218, 1107, 16625, 267, 1199, 5511, 1728, 332, 985, 6353, 676, 741, 16134, 267, 10333, 267, 543, 8471, 9029, 780, 15404, 673, 18567, 912, 4263, 519, 2295, 540, 1169, 19248, 714, 2946, 669, 656, 6013, 922, 10058, 2497, 267, 799, 3335, 5161, 540, 2110, 2453, 7368, 2789, 2053, 267, 1419, 20367, 1063, 18627, 23475, 538, 796, 2581, 543, 1201, 23230, 5340, 607, 18900, 669, 7394, 6114, 269, 1452, 23964, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 2920, 8633, 563, 21296, 14893, 5999, 454, 272, 269, 1215, 1281, 30083, 528, 9050, 4161, 519, 24769, 781, 620, 756, 328, 888, 5416, 264, 634, 24769, 3112, 2012, 519, 3659, 646, 729, 609, 563, 6357, 264, 634, 24769, 666, 2285, 1100, 3877, 827, 1018, 646, 6811, 547, 723, 1044, 3257, 563, 6262, 264, 634, 19044, 21689, 693, 519, 3014, 1281, 711, 3314, 519, 9718, 550, 454, 5560, 264, 3143, 821, 4718, 519, 24769, 563, 273, 269, 1215, 798, 930, 2818, 540, 519, 21139, 4431, 547, 1346, 945, 10990, 888, 5416, 264, 2060, 26723, 2350, 1143, 543, 7759, 545, 2544, 563, 6357, 264, 2060, 3606, 2055, 563, 6262, 264, 2060, 32475, 563, 5560, 264, 2060, 606, 1930, 2247, 563, 274, 269, 1548, 2186, 540, 6205, 568, 519, 2062, 2006, 540, 519, 21139, 888, 5416, 264, 589, 6213, 6205, 563, 6357, 264, 589, 3288, 23579, 345, 3655, 790, 6205, 945, 3762, 519, 29632, 832, 547, 741, 1378, 3457, 563, 6262, 264, 589, 9598, 31247, 6205, 563, 5560, 264, 589, 11180, 6205, 563, 275, 269, 6904, 29632, 528, 6450, 4157, 525, 30083, 528, 14210, 585, 1010, 22457, 6085, 888, 5416, 264, 634, 2062, 2006, 563, 6357, 264, 30083, 528, 18599, 563, 6262, 264, 30083, 528, 27607, 563, 5560, 264, 30083, 528, 20640, 563, 276, 269, 1548, 568, 513, 8288, 21139, 888, 5416, 264, 2290, 538, 799, 519, 2062, 2006, 3112, 1852, 519, 29632, 832, 563, 6357, 264, 2290, 538, 799, 519, 29632, 832, 4363, 16304, 563, 6262, 264, 2290, 538, 799, 519, 2963, 568, 21016, 5477, 563, 5560, 264, 2290, 538, 799, 519, 29632, 832, 3112, 3914, 513, 796, 29434, 748, 2357, 18743, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1713, 1913, 1281, 513, 29632, 528, 946, 538, 3210, 547, 519, 14220, 856, 10767, 560, 540, 519, 29632, 528, 945, 1011, 3941, 538, 2920, 8633, 888, 273, 269, 1548, 8753, 827, 519, 24769, 781, 4987, 568, 519, 21139, 3366, 547, 676, 519, 7744, 538, 799, 835, 29632, 528, 22851, 538, 2920, 8633, 888, 274, 269, 3557, 1079, 2081, 538, 799, 519, 1895, 13290, 547, 2327, 29077, 547, 519, 5354, 2070, 563, 275, 269, 1548, 568, 519, 4259, 538, 799, 519, 5467, 1101, 10742, 519, 12964, 3197, 945, 2285, 519, 1404, 922, 2012, 888, 276, 269, 6904, 29632, 528, 3587, 519, 1483, 6205, 540, 519, 1895, 888, 1607, 3296, 3568, 476, 3607, 278, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 20055, 803, 609, 713, 1913, 267, 5225, 454, 296, 1224, 513, 5152, 11430, 878, 267, 855, 594, 1810, 1405, 1174, 519, 2495, 540, 519, 1101, 1899, 269, 3371, 568, 519, 11430, 878, 454, 423, 482, 353, 423, 359, 357, 423, 480, 506, 476, 17432, 502, 32629, 502, 14602, 482, 14091, 367, 368, 30319, 32174, 478, 454, 424, 350, 364, 422, 371, 372, 423, 356, 490, 10563, 500, 368, 422, 373, 364, 10563, 499, 486, 424, 499, 482, 423, 368, 494, 454, 424, 364, 357, 32174, 495, 422, 367, 510, 14091, 361, 368, 424, 482, 506, 424, 504, 368, 10563, 482, 372, 424, 481, 479, 454, 1432, 568, 519, 2495, 540, 14091, 482, 353, 423, 359, 357, 423, 480, 506, 476, 17432, 502, 32629, 502, 7790, 594, 2119, 547, 1265, 519, 8144, 267, 855, 594, 1810, 1405, 2731, 2386, 10756, 763, 8360, 834, 423, 482, 353, 423, 359, 357, 423, 480, 506, 476, 17432, 502, 32629, 502, 257, 12777, 1797, 834, 320, 14328, 6607, 2580, 1498, 269, 901, 8360, 1419, 19562, 8271, 1797, 834, 320, 6429, 540, 6607, 1373, 2938, 998, 513, 6885, 257, 4586, 423, 482, 353, 423, 359, 357, 423, 480, 502, 30319, 1797, 834, 1729, 723, 513, 13551, 3337, 257, 610, 834, 1729, 581, 14328, 4840, 423, 482, 353, 423, 359, 357, 267, 513, 4009, 610, 13551, 454, 424, 482, 372, 423, 359, 357, 423, 480, 502, 30319, 267, 7755, 267, 547, 723, 513, 6906, 3337, 610, 547, 581, 21083, 454, 424, 482, 372, 423, 359, 357, 267, 513, 6906, 454, 423, 493, 503, 422, 372, 478, 30319, 610, 14091, 495, 354, 422, 372, 478, 30319, 267, 547, 723, 513, 5858, 610, 513, 3440, 4433, 335, 1877, 264, 3337, 454, 423, 493, 503, 422, 371, 372, 423, 507, 376, 423, 363, 372, 267, 10563, 505, 494, 263, 17295, 497, 1070, 513, 5858, 610, 5180, 454, 15919, 267, 834, 423, 482, 353, 423, 359, 357, 423, 480, 506, 476, 17432, 502, 32629, 502, 257, 1797, 513, 6429, 540, 519, 6607, 1373, 2938, 998, 914, 30591, 1082, 7381, 5656, 454, 268, 3733, 19701, 281, 7565, 1775, 4126, 579, 786, 948, 803, 2567, 994, 268, 4804, 5545, 454, 268, 5808, 568, 2712, 31561, 888, 268, 4208, 798, 596, 1616, 547, 1451, 513, 4914, 1893, 888, 268, 594, 4862, 513, 2262, 5731, 684, 576, 607, 1496, 335, 16745, 781, 573, 390, 496, 338, 3910, 594, 530, 13860, 917, 875, 547, 11963, 519, 2262, 25467, 1018, 781, 519, 2495, 888, 268, 9215, 9128, 299, 6730, 623, 15288, 570, 12239, 454, 268, 3657, 596, 2838, 547, 581, 2111, 547, 3717, 811, 982, 835, 1893, 547, 4001, 593, 898, 1779, 328, 888, 268, 1684, 596, 917, 1434, 5545, 8874, 610, 7641, 2982, 7790, 0, 2691, 596, 1376, 4058, 707, 7552, 547, 3127, 543, 1694, 1524, 547, 1118, 513, 547, 28273, 1592, 267, 2322, 834, 322, 718, 4387, 585, 6669, 13393, 257, 693, 519, 1283, 540, 519, 1592, 269, 3973, 1810, 1405, 2322, 621, 1055, 563, 6097, 547, 519, 15509, 267, 596, 991, 547, 1376, 707, 6375, 3074, 693, 2547, 2185, 547, 3670, 4374, 1354, 596, 1544, 547, 4734, 269, 2334, 1259, 519, 10074, 786, 723, 942, 547, 1831, 2500, 269, 1656, 596, 3513, 849, 581, 2111, 547, 1376, 2921, 15324, 11955, 585, 3676, 602, 1810, 1405, 723, 10074, 267, 971, 607, 13663, 563, 763, 17537, 589, 6669, 666, 2061, 17537, 589, 4534, 513, 3978, 267, 3006, 14603, 267, 6797, 2068, 267, 799, 666, 2154, 30674, 269, 634, 17537, 589, 3644, 267, 1459, 538, 519, 22454, 540, 7783, 1004, 267, 19082, 998, 912, 5141, 846, 2123, 3346, 267, 971, 607, 7622, 610, 4638, 3346, 267, 609, 606, 7783, 1268, 454, 6944, 3133, 730, 1216, 610, 4672, 454, 6944, 3133, 730, 6151, 32729, 267, 5613, 267, 5388, 267, 610, 824, 4608, 10541, 3536, 454, 2252, 596, 1205, 17537, 589, 607, 606, 2937, 267, 596, 616, 811, 2693, 547, 723, 4191, 543, 2589, 982, 1762, 2483, 2080, 781, 606, 7650, 540, 519, 10074, 596, 949, 991, 1354, 596, 4734, 585, 3127, 269, 5901, 538, 2247, 602, 519, 4890, 25750, 596, 991, 786, 581, 5462, 676, 1896, 2188, 602, 596, 543, 707, 1072, 1416, 8502, 1058, 2689, 1927, 563, 13356, 4575, 1548, 17261, 1149, 547, 5192, 454, 2414, 3313, 1018, 10074, 596, 991, 267, 707, 1072, 1416, 8502, 786, 912, 13706, 707, 1699, 1072, 543, 1072, 1686, 454, 18800, 707, 31331, 5638, 454, 24066, 10663, 707, 621, 10719, 776, 454, 10190, 646, 610, 1352, 786, 1577, 596, 917, 4010, 1018, 10074, 596, 991, 543, 1141, 596, 666, 1205, 873, 563, 763, 1592, 540, 10074, 786, 581, 1759, 593, 912, 7312, 1072, 4567, 454, 1692, 1699, 707, 6375, 3074, 616, 454, 8489, 596, 616, 4058, 547, 979, 538, 519, 2477, 596, 616, 9683, 454, 1432, 596, 2811, 2693, 547, 798, 1247, 596, 2811, 972, 454, 1805, 11691, 5455, 547, 11261, 593, 772, 2529, 269, 17261, 1149, 454, 7312, 4387, 786, 2689, 707, 31331, 2594, 547, 1118, 2386, 596, 616, 909, 547, 4266, 593, 519, 3044, 10074, 543, 26259, 15833, 602, 1004, 538, 519, 772, 2529, 269, 1058, 723, 269, 2334, 2882, 6375, 3074, 585, 912, 2791, 3513, 849, 7654, 991, 513, 15067, 29104, 26259, 8929, 269, 1656, 621, 781, 1271, 547, 1118, 2386, 602, 707, 2770, 8929, 568, 1699, 563, 309, 3147, 1149, 585, 3127, 454, 2080, 616, 10074, 596, 949, 991, 585, 2951, 547, 3127, 912, 295, 788, 22807, 589, 269, 901, 2068, 666, 581, 10299, 998, 1426, 543, 1216, 269, 634, 1981, 585, 22031, 22807, 589, 538, 3127, 568, 1164, 269, 1924, 267, 31331, 568, 3810, 5227, 563, 295, 788, 22807, 645, 269, 1703, 568, 606, 13591, 1981, 585, 17537, 645, 538, 3127, 269, 22031, 22807, 645, 568, 513, 10194, 3968, 602, 666, 581, 10299, 676, 3346, 609, 1973, 543, 824, 15629, 12862, 269, 2334, 1797, 596, 1223, 5732, 581, 6534, 998, 281, 0, 24456, 293, 3796, 568, 3478, 513, 1007, 1413, 256, 3807, 538, 942, 585, 5614, 267, 649, 2811, 12902, 856, 513, 1007, 1413, 585, 519, 1655, 2228, 2371, 6538, 269, 898, 786, 849, 960, 609, 707, 5100, 11436, 543, 5985, 3457, 267, 865, 1631, 596, 666, 1491, 621, 609, 596, 593, 4677, 4099, 11564, 610, 27386, 4677, 19150, 269, 5999, 610, 8292, 286, 7490, 2022, 873, 1934, 563, 24078, 1186, 786, 10352, 593, 519, 30746, 910, 594, 1810, 1405, 917, 2436, 789, 21898, 519, 4079, 610, 711, 269, 594, 723, 7864, 17984, 538, 3819, 1296, 910, 1256, 952, 1250, 13452, 3884, 1405, 3819, 269, 594, 723, 1185, 1360, 1906, 17984, 538, 1250, 13452, 713, 1032, 910, 621, 1185, 1044, 3819, 543, 2842, 344, 269, 1809, 972, 941, 513, 2603, 538, 513, 12775, 8897, 618, 2282, 1250, 2777, 2038, 4832, 910, 4779, 3563, 267, 18290, 1512, 267, 543, 13566, 855, 1524, 856, 540, 519, 2842, 269, 700, 2299, 972, 18387, 1405, 1256, 1044, 1082, 1256, 972, 269, 3933, 1105, 338, 616, 9425, 1279, 24331, 267, 855, 4210, 9994, 339, 5661, 616, 5266, 2110, 24331, 563, 2414, 2040, 909, 281, 14480, 7224, 269, 2368, 1296, 616, 1175, 1732, 982, 1866, 563, 2005, 1223, 1360, 1134, 581, 519, 2601, 269, 594, 2119, 547, 1832, 519, 729, 335, 5095, 1524, 676, 13830, 873, 538, 1507, 2312, 4837, 30660, 269, 594, 1810, 1405, 723, 1569, 547, 729, 335, 20637, 1141, 594, 2661, 865, 835, 540, 891, 2395, 267, 594, 3513, 1451, 875, 547, 1118, 873, 269, 2368, 729, 1186, 899, 547, 3548, 519, 5798, 543, 1507, 30746, 543, 3006, 519, 2462, 30746, 543, 972, 616, 26220, 729, 1186, 602, 7227, 2394, 519, 30746, 723, 9921, 323, 547, 2482, 5798, 538, 873, 563, 296, 723, 1455, 678, 826, 2371, 630, 337, 25917, 18205, 565, 839, 264, 602, 616, 4749, 10272, 676, 9649, 15179, 339, 5661, 543, 3109, 15179, 339, 5661, 945, 15151, 4782, 519, 678, 826, 936, 519, 18654, 3529, 594, 723, 563, 288, 3923, 610, 865, 3516, 267, 594, 25747, 8068, 602, 519, 678, 826, 1185, 1896, 27598, 11954, 5798, 2451, 676, 513, 3109, 15179, 18571, 269, 2201, 519, 1482, 1554, 267, 594, 8068, 513, 15596, 16313, 18413, 5798, 593, 519, 607, 2193, 335, 5362, 2371, 269, 634, 1985, 1554, 267, 594, 1223, 711, 1265, 835, 4212, 593, 2901, 519, 678, 1132, 610, 607, 2193, 7032, 1162, 269, 594, 729, 865, 771, 24711, 2989, 602, 789, 1223, 723, 20374, 865, 3533, 543, 4625, 269, 3733, 2250, 1995, 814, 1044, 602, 693, 2547, 476, 273, 610, 476, 275, 5798, 786, 581, 2451, 547, 581, 2111, 547, 9921, 883, 30746, 267, 855, 711, 713, 942, 269, 634, 729, 1186, 19345, 909, 269, 594, 723, 4857, 476, 274, 2392, 2218, 270, 1706, 553, 12792, 729, 1186, 602, 2408, 5781, 538, 519, 4677, 865, 1775, 1832, 606, 3750, 856, 585, 873, 543, 7001, 950, 1775, 666, 269, 901, 5949, 1318, 1354, 519, 24925, 4005, 3323, 1934, 269, 2311, 713, 942, 782, 519, 12961, 3100, 547, 979, 21173, 4466, 1426, 269, 4033, 2053, 540, 519, 1032, 519, 729, 1186, 616, 513, 1966, 267, 855, 711, 865, 1454, 540, 835, 269, 1403, 594, 993, 30190, 538, 1250, 729, 335, 13830, 267, 594, 666, 3035, 1434, 2156, 16104, 540, 6148, 476, 1789, 910, 476, 3199, 30746, 602, 1118, 621, 547, 2635, 18173, 3125, 269, 1879, 594, 993, 4749, 1572, 2476, 689, 519, 4677, 585, 1022, 1297, 540, 2601, 267, 519, 729, 1186, 1847, 538, 543, 723, 2933, 513, 21649, 563, 296, 1174, 729, 335, 20637, 666, 581, 3362, 1336, 538, 519, 2276, 543, 952, 1775, 941, 596, 267, 594, 1131, 1205, 930, 269, 6153, 9939, 256, 898, 568, 711, 606, 31837, 25236, 762, 1966, 269, 0, 307, 32294, 2039, 281, 645, 6324, 580, 6501, 888, 347, 28350, 10560, 611, 639, 5378, 333, 1157, 328, 2868, 9189, 4775, 538, 29401, 993, 828, 2008, 763, 2249, 568, 1634, 689, 519, 2868, 9189, 267, 1297, 834, 298, 308, 5937, 305, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]